diff --git "a/data/dm_maths/full_data/11027_11255.jsonl" "b/data/dm_maths/full_data/11027_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11027_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate prob of picking 1 v and 2 l when three letters picked without replacement from vsllllvsssvlvv.\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - c + 0*c)*(-2*c**3 + 2 - 2) + 4*c**4 - 34*c**4 - 49*c**3 + 29*c**4 as u*c**3 + v*c + g*c**2 + m + s*c**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 bigger than 244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 12:52 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3401990 divided by 290?\nAnswer: -11731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31307 divided by -5.\nAnswer: -31307\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1. Let y = -0.6 - -0.2. Let j = 0.5 + y. Is j bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**7\/42 - 363*h**5\/4 + 11*h**4\/2 - 3*h**2 - 5053*h. What is the third derivative of f(u) wrt u?\nAnswer: 60*u**2 - 10890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 226981*p**6\/80 + 11163*p**5\/20 + 183*p**4\/4 + 2*p**3 - 36*p**2. Solve y(w) = 0.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 9*k**2 + 2*k + 7. What is i(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -121*o + 6. Determine w(-1).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2096 + 451 - 1127 = -154*o for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(20)\/sqrt(40)) + -5)*5 - (4 + ((-4*sqrt(10)\/sqrt(5))**2 + -5)*-3).\nAnswer: 10*sqrt(2) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 4 = -4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 11 = -1. Suppose 0 = 2*f + 3*m + h, -f + 11 = -4*m + m. Is 15 a factor of f\/(-18)*-3*51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5)\/d)\/(d\/d**(6\/11))*(d\/(d\/(d\/(d\/((d**1\/d)\/d)))*d))**(2\/27)*((d**(-5)*d)\/(d\/d**(2\/9)*d))\/(d**(-1\/2)*d*d)**15 assuming d is positive.\nAnswer: d**(-89933\/2970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 29218?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 845015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7826, 6550, 5274?\nAnswer: 3998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 44 = -2*k, z - k + 14045 - 14018 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189878 and 146714?\nAnswer: 127787894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1224 and 597006.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, x: 6}. Give prob of sequence xxdx.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 570, 858, 1246, 1782, 2514, 3490, 4758, 6366?\n\"Answer: 8*w**3 + 2*w**2 + 226*w + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -20*s**2 + 17. Let d(a) = 7*a**2 - 6. Let y(m) = -17*d(m) - 6*l(m). Let k(w) = -w**2. What is k(y(u))?\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-385)\/(-51975))\/((-2)\/20)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - t**2 - t + 12. Let j be w(0). Suppose -o - j = -7*o. Solve -p - 7 + o = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1619265?\nAnswer: 3, 5, 107951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 33*m**2 + 11*m + 44. Let x(a) = -11*a**2 - 4*a - 16. Let y(w) = -4*d(w) - 11*x(w). Let l(k) = k - 6*k + k. What is l(y(t))?\nAnswer: 44*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2352 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2146 - 2?\nAnswer: -2150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/32*-4 + -1. Solve c = 5*v - 3*h - 28, 5*v = -3*h + 5*h + 27 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754 - (96\/(-112))\/((-2)\/14) is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omolm. Give prob of picking 1 o, 1 l, and 1 m.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 + -3 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 x when three letters picked without replacement from xaaaaxxaaa?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -477 - -479. Let v(s) = -6 + 6*s - 1292*s**2 + 1293*s**y - 9*s. Give v(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -p - 4. Sort -5, p, 3, 4 in decreasing order.\nAnswer: p, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 126*p**2 + 3077*p - 705. Calculate t(93).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**2*y**5 - 3*j**2*y**2 + 9*j**2 - 4*j + 65*y**6 wrt y.\nAnswer: 120*j**2*y**2 + 7800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 - 83*u + u**3 + 0*u**3 - 179*u + 262*u.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - 2)*1 + 37. Solve 9*t - t = -n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2)*j)**(-27))**(-6)\/((j\/j**(-4))**(-1\/15))**(-1\/10) assuming j is positive.\nAnswer: j**(-4861\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92135\/12 - 7666. Let b = 419163275\/2623 - 159803. Let j = -170531\/15738 + b. Calculate the common denominator of p and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-196)\/(-84)*15\/14)\/((-10)\/(-48)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(18928\/26)*(-24)\/4?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29340, -33173, -39562, -48507, -60008, -74065?\n\"Answer: -1278*b**2 + b - 28063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/12 - (-5)\/15) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s + 3*s + 5*s - 1 + (1 - 1 + 7*s)*(3 - 4 + 3) + (1 + 0 + 1)*(7*s - 5*s - 5*s).\nAnswer: 10*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p**2 - 4. Let c(a) = 169*a**2 - 78. Let u(q) = -2*c(q) + 39*o(q). Let h(f) = 5*f**2 + 7*f. Determine u(h(z)).\nAnswer: 325*z**4 + 910*z**3 + 637*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1360 and 1009040.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**4\/24 - 2*g**2. Let d(b) = -3*b. Give d(f(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 6*t + 2*d - 12 + 27 + 11 = -4*t + 5*t, 39 = 13*d for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6150012.6 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 38. Solve p*s + 5 = 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 2*r = -12*w - 20, 3*w + 5*r + 15 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126010, 251967, 377806, 503467, 628890, 754015?\nAnswer: 878782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + (sqrt(11) + 0)*-3 + (1*sqrt(11)*2 - sqrt(11)) + -4 + 1)**2.\nAnswer: 92 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(7) - (sqrt(448) + sqrt(448)*-1)) + sqrt(7)*1*3 - 2*sqrt(567)*-5))**2.\nAnswer: 1546300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 5)*(16\/(-14))\/(-4). What is the nearest to 1\/4 in -1, 0.05, r?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24\/7? (a) -1\/3 (b) 5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1843*f + 39*f**3 - 258*f - 40*f**3 + f**2.\nAnswer: -f**3 + f**2 - 2101*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (6585 - 1 - -1). Let m = u - -12583. What is m rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1051*v + 9936 = 683*v for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13486.9 and 5.\nAnswer: 13491.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b - 6*b - 147641*b**2 + 148452*b**2 to the form y + a*b**2 + d*b and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 318*u - 1607. What is k(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 5*t + 13 = -2, 2*l + 5*t + 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2148784*a**2 + 5*a**3 + 716263*a**2 + 716264*a**2 + 716257*a**2.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 10690 = -7*u + 12*u, -4*u + 5*x = -8565. Is 61 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 2. Let w(u) = 7 - 1 - 3 + 2*u. What is -4*k(o) + 3*w(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9207.004 millennia?\nAnswer: 92070.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 + 3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 5*q + 10. Let b(n) = q - 2 - 2 - 33*n. Is b(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.4, 0.3, -14742?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*y**4 + 0*y**4 + 7*y**4)*(0 + 1 - 3 + (-1 + 3 + 0)*(-1 - 3 + 6)).\nAnswer: -22*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -149 + 326. Suppose 3*i - f = 3*r, 31 = i - 3*r - 34. Suppose 0 = -x + 3*x - i. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23768 divided by -5.\nAnswer: -23768\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 - -66. Which is the closest to -1\/11? (a) -0.1 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -g + 22, -3*g + 12 = -0. Let m(p) = p**3 + 6*p**2 - p - 2. Let s be m(q). Solve 4*z + 1 = u, -z + 6*z = 4*u - s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**2 + 4*r - r**3 + r**2 - 5*r. Suppose c = 4*b + 245, b - 5*c + 44 + 22 = 0. Let o = -55 - b. Give t(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {r: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 23*p**2 + 80*p - 43. Let s be ((-224)\/(-35) + -6)\/((-6)\/(-285)). Let x be f(s). Solve -29*i = -x*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s + 60*s = 5*l + 55, -49 = 3*l + 5*s. Which is the nearest to -2\/3? (a) l (b) -0.2 (c) -5 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(18) + (4 + 2 + sqrt(2))**2.\nAnswer: 15*sqrt(2) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.2 (c) -5.305\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frm when three letters picked without replacement from rsmfr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(sqrt(5) + sqrt(180)\/sqrt(4) - (sqrt(5) - (sqrt(605) + 1))) - ((sqrt(405) + 1 + sqrt(405) + -2)**2 + -1)).\nAnswer: -1620 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -6*x + 356. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f**2 + 2*f - 2*f)*(-1 + 2*f**2 - 2*f**2 + 2*f**3) + 139*f**4 + 11*f**5 - 139*f**4.\nAnswer: 27*f**5 - 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a - 8*a + 49*a + 34*a - 8*a.\nAnswer: 80*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*v + 4*i, 2*v = 2*i - 2 - 0. Let z(l) = -l**2 + l. Let g(u) = 3*u + u**3 - 5*u**2 - 7 + 1 - 3*u**2. Let m(b) = v*z(b) + g(b). Give m(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15, -595, -1569, -2943, -4723, -6915, -9525, -12559?\n\"Answer: -l**3 - 191*l**2 + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 8*w - 5*w + 9, w + 3 = -5*z. Solve z = 3*t - 0 + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3160 - 114?\nAnswer: 3048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*x**2 + 2*x**2 - 3*x**2)*(-46*x + 86*x + 54*x) + (-3 + 4 + 1)*(2*x - 2*x + 2*x**3) - 2*x**3 + 9 - 9)*(3*x - x + 0*x).\nAnswer: -184*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from nppnnpnpnppp.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -498*p**3 - 6*p**2 - 316*p**3 + 0*p**2 - 22*p + 16*p. What is the units digit of x(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00073118067 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -264.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 158, 316, 476, 638?\n\"Answer: d**2 + 155*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 9*m + 11. Let q be c(8). Suppose d + 4 = 4*g - 0, q*g - 4*d - 16 = 0. Find the second derivative of -4 + 4 - 6*n**5 + g + 2*n wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eze when three letters picked without replacement from zeze?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, 728, 5\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12105 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b633 (base 12) to base 8\nAnswer: 46707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-2)\/(-1) + -4. Let f be (-1)\/(w\/(-1 + 65)). Let p = 17 + f. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*sqrt(66)*2)\/sqrt(6).\nAnswer: -50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/43785 and 181\/2310.\nAnswer: 963270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (1 - -4 - 0) - 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2464076142 to four dps.\nAnswer: -0.2464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39853, 79743, 119631, 159517, 199401?\n\"Answer: -t**2 + 39893*t - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1910 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p**3 + 5*p**2 + 5*p. Let x(w) be the first derivative of -2*w**3 + 7\/4*w**4 + 0*w - 3*w**2 - 109. What is 6*s(q) + 5*x(q)?\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -845510.7 to the nearest one hundred.\nAnswer: -845500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/25*(-675)\/(-81).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -26*w - 687. Give j(-27).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57627.\nAnswer: 3, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 7\/28*4. What is the hundreds digit of (r + (-42)\/(-12))*822\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/16552 and 21\/22?\nAnswer: 182072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 1:17 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2262589 + -142249.\nAnswer: 2120340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 12:41 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06964 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 equal to 529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12143*g - 12159*g - 80 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 + 357*o - 8158. Calculate g(88).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + 4*j**2 - j**2 - 2*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-421)\/10 - 2) + 10\/100. What is the remainder when -2 + 1 + 2 + 16 is divided by u\/6*123\/(-82)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/7 + 6192*w**2\/7 - 4648960*w\/7.\nAnswer: -2*w*(w - 1816)*(w - 1280)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - 5*sqrt(2)*2) + -3 - (1*(sqrt(2) + -2) + sqrt(2) + 4*(1 + sqrt(2))).\nAnswer: -15*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + n + 1. Let h(s) = 6*s**2 + 6*s + 9. Let b = -337 - -332. Determine b*v(d) + h(d).\nAnswer: d**2 + d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*i - 30, -4*i - 6 = h + 3. Let q(x) = -x**3 + 11*x**2 + 2*x + 4. List the prime factors of q(h).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1682\/10 + (-104)\/(-130). Calculate the highest common divisor of w and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 d, and 1 r when three letters picked without replacement from {i: 3, m: 1, q: 4, d: 5, r: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - a**2 - 8*a + 1. Let f be v(-6). Let b = 452 - f. Suppose -165 = -4*d + b. What are the prime factors of d?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 26935 = -5*b + 120159, -b = 5*s - 29444. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4827 or -4561?\nAnswer: -4561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4196990?\nAnswer: 2, 5, 7, 59957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -401*d**3*g + 2*d**3*o - d**3 + 3*d**2*o + 2*d*g*o + 30*g*o wrt o.\nAnswer: 2*d**3 + 3*d**2 + 2*d*g + 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 5:59 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + j + 25, -2*p - 29 + 3 = -4*j. Let l(u) = -12*u + 15. Let h be l(p). Suppose -2*v - v + 63 = 3*m, -4*m + v = -h. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11130 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -1a?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*l = 60*l + 162 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.88 and -213?\nAnswer: 187.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.42 * -8687.\nAnswer: -12335.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -7*r - 15. Differentiate -164*g**3 + 78*g**3 + 45 + 85*g**r + 20*g with respect to g.\nAnswer: -3*g**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oowoppkpppn. Give prob of picking 1 o, 1 w, and 1 n.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1238 + 1343.5. What is q rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 3 + -1 - -1. Let r be 3*((-2)\/(-3))\/c. Solve -4 = r*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -13. Let t be 28\/6*(-72)\/g. What is the highest common factor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 363 = -5*r - 0*f, -f + 143 = -2*r. List the prime factors of (-6)\/(r\/(-6)) + (-157)\/(-2).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -9*o**2 + 33*o**2 + 4 - 24*o + 27*o. What is the remainder when z(-2) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -2\/3*r**3 + 0 + 1\/4*r**4 - 7\/2*r**2 - 33*r + 1\/20*r**5. Calculate the remainder when 33 is divided by g(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/6442469 or 1?\nAnswer: 2\/6442469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6984? (a) 0.3 (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-770)\/(-759) + (1 - 1) and 17?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8932 a factor of 379427935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*z - 4*b - 33, -4*z + b = -29. Let n be z\/(5 + 39\/(-9)). Sort -1, 5, -5, n in increasing order.\nAnswer: -5, -1, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/45 - ((-12)\/(-21))\/(8\/(-84)).\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*(sqrt(117) - (sqrt(117) - -2*sqrt(117)))*2)\/(sqrt(729) - 2*sqrt(729) - 1*sqrt(1296)) + 0.\nAnswer: 40*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 15*p + 29. Let h be n(-13). Put h, 5, 4 in increasing order.\nAnswer: h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 - -127. Suppose -5*f = -d - 20, -l*d - 8 = 4*f - 43. Let m be 4\/10*10\/6. Which is the closest to -1? (a) f (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22143 + 29072. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 675 and 949827735.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(6\/11))\/(1162\/(-28) + 42)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**2 - 11. Let g(s) = 8*s**2 - 23. Let n(w) = 3*g(w) - 7*m(w). Differentiate n(d) wrt d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -8124\/3719?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(1\/3)*h**(-6\/7)\/h*h\/(h*h\/h**(-3\/7)) assuming h is positive.\nAnswer: h**(-62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2. Let f(y) be the second derivative of 0 + 1\/3*y**4 + 2*y + 0*y**3 + 0*y**2. Give c(f(s)).\nAnswer: 48*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 4*k**2 + 3. Let f be g(-4). Let l(a) = a**2 - 4*a + 1. Calculate l(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*u = -62 - 205 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 9016 = -4*s + 3*y, -3*y = 4*s - 8984. Suppose 0 = 3*m - 4*d - s, -m + 4*d + 1019 = 256. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 16\/(-10))*5. Suppose -b = 2*a - 18, a - m = -0*a - 4*b. Suppose 0 = 47*l - 50*l - 4*o + 19, 0 = 4*o - 4. Solve 0 = -5*s - l + a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-9 - (-6 - -9)) - 3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -121961358 and -341.\nAnswer: -121961699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8831150.2 + 8831219.199901. Let p = 108 + -39. Let d = p - k. Round d to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 362 and 101903?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1)*0\/(-11). Let f = -19\/687 - -213790\/4809. Let x = -44 + f. What is the biggest value in s, -1\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001043 rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*((-9)\/(-1) - 4). Solve 0*x + 8 = -2*x - 3*v, l = -5*v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0.3, 0.2, -5.4 in descending order.\nAnswer: 0.3, 0.2, 2\/13, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/11))\/(q**0*q) assuming q is positive.\nAnswer: q**(1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27642 by 6.\nAnswer: -4607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 868?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368015.5 - -3.27397.\nAnswer: -368012.22603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6909082 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2920 and 6935?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -46.1 (b) 0.7 (c) 5 (d) -3\/2 (e) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l + 9. Let q be n(-6). Let m be (q\/(-114))\/(6\/8). Let b = 1 + -2. Do m and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-60)\/125*(-3 - 5 - 12). Determine z so that 32\/5*z**3 - t*z**2 - 4\/5 - 6*z = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 228*k - 227*k - 32 - 75 - 2*k**3 - 2*k**4 + k**2 in the form c*k**3 + q*k**4 + w + o*k + f*k**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**2. Let r(a) be the second derivative of -8*a - 2\/3*a**3 + 0 + 0*a**2. Determine k(r(s)).\nAnswer: -64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 467 divide 1125136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -113*m**2 + 638*m + 3. What is u(6)?\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 390\/(-91)*(98\/21)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-35) + 4\/(-20)*1\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18672 - -22621. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.10034 - 0.10034. What is the nearest to h in -0.2, 1\/7, 1, -12?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -10. Let k = 56 - -20. Suppose 0 = -o*q - k - 4. Round q to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*u + 2 = -k, 16 = 5*k - 4*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-198 + 74 - 85 + (-1 + 0 + 3)*(3 - 4 + 0))*(a - 3*a + 0*a) in the form j*a + y and give j.\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34693037?\nAnswer: 691, 50207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -7. Suppose x = c*x. Solve x = a + 5*p - 7, -a + p = -0*a - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1874039 to the power of 1\/2, to the nearest integer?\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 385 or 340?\nAnswer: 385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(48)*-5).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*n**3 - 19*n**3 - 26*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -75*a + 24. Let b(q) = 24*q**2. Calculate b(c(p)).\nAnswer: 135000*p**2 - 86400*p + 13824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**5 - 357*i**4 - 2185*i**3 + 2541*i**2 = 0.\nAnswer: -7, 0, 1, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*t = 24, -t = -x + 10 + 5. Calculate the lowest common multiple of 9 and x.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255833114.3 rounded to the nearest 10000?\nAnswer: -255830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7912, -8166, -8440, -8734, -9048?\n\"Answer: -10*r**2 - 224*r - 7678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2250 (base 10) to base 2\nAnswer: 100011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*i + 26, 2*h - 7*h = i - 14. Solve -4*v + i = 2*s - 4*s, 8 = v - 4*s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167920 = -50*m + 13223 + 220207. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1713 + 1715. Factor -1\/4*g**y - 1\/4*g + 1\/2.\nAnswer: -(g - 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 243 + 31 = 0. Let i = 1102 - 1081. Calculate the remainder when g is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*(4 + sqrt(343)*3)**2.\nAnswer: -77575 - 4200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80.9855 + 81. Let z = n + -2.7845. Round z to one dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 47. Let d = 31.835 - r. What is d rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 5. Let c(l) = 495*l - 1. Let g be c(b). Let k be (-4)\/(-10) - g\/10. Round k to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**6\/120 - q**5\/20 + q**4\/24 + q**3\/2 + 6*q**2. Let r = 4 - 7. Let v be d(r). Let k(t) = t**2 - t + 3. Determine k(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - j - 5 = 25, 5*j = -2*t + 39. Suppose -t*z + 38*z = 33. Solve -20 = -2*k - z*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44035 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1274) + sqrt(1274)*2 + sqrt(1274) + sqrt(1274) - -1*2*sqrt(26))\/((1*sqrt(22)*5)\/sqrt(11)).\nAnswer: 37*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 a, and 1 w when three letters picked without replacement from {e: 1, w: 7, a: 1, r: 2, p: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 12 (b) 2\/15 (c) -0.4 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004271 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + -2 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3268, 3230, 3200, 3178?\nAnswer: 3164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 3*c**2 + 3*c + 5. Let d be x(-4). Let z be 27*(3*1 - (d - 7)). What is the closest to 0.1 in 0.2, -0.3, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 3:25 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 880035 - 11?\nAnswer: 880024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.8 - -2.7. Which is the biggest value? (a) d (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116485681 to the nearest integer?\nAnswer: 10793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*p**2*y*z**2 + p**2*z**2 - 5*p*y*z**2 + 3*p*y - 713*p*z**2 wrt y.\nAnswer: 22*p**2*z**2 - 5*p*z**2 + 3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -15767?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 192 = 52*i, 1015*i + 4*v + 141 = 1014*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6042 - 6066. Put v, -1, 5 in descending order.\nAnswer: 5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 351, 702, 1055, 1410, 1767, 2126, 2487?\nAnswer: 2850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/30 and 61\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*b - 42*b + 15. Sort -0.06, b, -2\/7, 1 in increasing order.\nAnswer: b, -2\/7, -0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 31089905 and 2.\nAnswer: 31089907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/24210 and 27\/1076.\nAnswer: 48420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(-4 + ((-2 + sqrt(108))*-1 + sqrt(108)*-1*-2 + 1)**2 + -3).\nAnswer: 180*sqrt(3) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -7. Let g = l + 21. Suppose -t - 2*t = -330. Calculate the highest common factor of g and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1350 divided by 450.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6560256 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9206, -36814, -82826, -147242, -230062, -331286, -450914?\nAnswer: -588946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 21993.55.\nAnswer: 21993.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27893437 is divided by 65?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488754005.\nAnswer: 5, 19, 1327, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -290, -583, -882, -1187, -1498, -1815, -2138?\n\"Answer: -3*j**2 - 284*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/73876 and -155\/1390212?\nAnswer: 15292332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**8\/336 - n**7\/42 + n**6\/15 - n**5\/15 - 3*n**2\/2 - n - 46. Let k(r) be the second derivative of c(r). Factor k(s).\nAnswer: s**2*(s - 2)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, y: 4, c: 1, r: 1}. Give prob of picking 1 r and 2 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.39348 + 4513.19348. Round h to the nearest one hundred.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43097, -86138, -129191, -172262, -215357, -258482, -301643?\nAnswer: -344846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -133623, -267231, -400825, -534405, -667971?\n\"Answer: 7*h**2 - 133629*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 5c83?\nAnswer: -5c82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841429 is divided by 280471.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 + -8 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**3\/2 - 177*l**2 - 699*l\/2 - 174 = 0. Calculate l.\nAnswer: -116, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -112256305.\nAnswer: 11225630.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11 (b) -3 (c) 283.768 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 598 = -13*t + 364. Let k be (t\/21)\/((-120)\/(-35) - 5). What is n in -6\/11*n**3 + k*n**2 + 12\/11*n + 0 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*r = 358 - 5754. Is 141 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 3*g + 9*g)*(-11*g**2 + 4 - 4)*(0*g**2 + g**2 - 2*g**2).\nAnswer: 66*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 928, 1855, 2782, 3709, 4636?\nAnswer: 5563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 4.58891.\nAnswer: 0.917782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = 3*w - 4, -5*g + 17 = w. Suppose m = w*h - 2, 2*m + 0 + 3 = 5*h. Let t(q) = 6*q**2 - q. Calculate the smallest common multiple of 3 and t(h).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2142)\/3570)\/(5*6\/3900)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Let t(i) be the first derivative of 3*i**2 - 3*i + l + 5*i - 2*i**2 + 5. What is the derivative of t(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 20*q + 18*q = 16980, -16986 = -4*t + 5*q. What are the prime factors of t?\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d. Let y be n(-3). Let k be (-2)\/y - (-8)\/(-6). Let x = 9 - k. What is the highest common factor of x and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.11 + 0.11. Let v = m + 2.2. What is the second biggest value in -0.07, 3\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18120 (base 12) to base 2\nAnswer: 1000011110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81 + 279 - 11*y - 48 - 15*y to t*y + k and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z - 38. Let d be j(9). What is the hundreds digit of ((-196)\/d)\/7 - -475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 213311011022?\nAnswer: 213311011030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gel when three letters picked without replacement from {l: 1, s: 3, g: 7, e: 5}?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -196, 19, -2, 36 in descending order.\nAnswer: 36, 19, 1, -2, -3, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.36 or 827?\nAnswer: 827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 41 = 3. Let r be (-74)\/(-132) + 11\/g. Let h = 3068 + -3068. Which is greater: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.4, -2090, 1\/3.\nAnswer: -2090, -4.4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286861377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 935 is divided by 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17 - -3.83. Let g = 16.3 - -12.7. Let t = 27 - g. Which is the closest to 3? (a) v (b) t (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*5\/(-50)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -524 divided by 4151.\nAnswer: -524\/4151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l - 32. Let j be c(7). What is the nearest to 3 in -2\/21, 0.7, -3, j?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k = 23 + 147 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 9) to base 4.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.28? (a) 5 (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*h**3 + 14*h**3 - 26*h**3.\nAnswer: -64*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + p**2 - 2 + (0 + p + 0)*(3*p + 2*p - 2*p) - 73 + 1446*p**2 + 3*p + 71 - 1418*p**2 as u*p**2 + b*p + w and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259312.\nAnswer: 2, 19, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 1059. Let j(g) = 3913*g. Determine w(j(o)).\nAnswer: -3913*o + 1059","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 3*k - 3, 21 = -0*k + 3*k + 4*x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3665.\nAnswer: 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297*o + 169 = -1019. What is the remainder when 1446 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 1344?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-24))\/(8\/(-272)*-17).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**5\/60 - 5*n**4\/2 + n**3 + 2*n**2 - 4. What is the hundreds digit of g(-30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -3*f. Suppose -2*v - 3*l = -49, -f*v = -4*l - 10 - 4. Let x = -5 + 11. Let p(d) = 3*d - 6. Let j(u) = -u + 2. Give v*j(h) + x*p(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 21*v**2. Let d(l) be the second derivative of -l**7\/840 + 7*l**4\/2 - 22*l. Let c(n) be the third derivative of d(n). Give c(m(y)).\nAnswer: -1323*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 4*y - 2, -213*y = -210*y + g + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 4*l = 0. Suppose l = o - 4*o. Solve 4*n + 4*a + 8 = 0, 3*n + 4 = -4*a - o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z - 4*z - 8*z + 0*z - 1 - 14. Give p(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11*d**2 - 3. Let u(v) = 77*v**2 - 12*v - 25. Let o(x) = -539*x**2 + 88*x + 176. Let j(s) = -3*o(s) - 22*u(s). Determine -3*j(w) - 22*t(w).\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 2\/3 (c) 1 (d) 2\/9 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*g - g = -16*g - 1851 - 1740 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -1.2. Put 0.3, -5, t in descending order.\nAnswer: 0.3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 0)*-2 + sqrt(17) - (sqrt(34)*2)\/sqrt(2))*3.\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 42200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/72 + 142\/9. Suppose 5 - 40 = -4*y + 5*s, p = 2*y - 4*s. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(132) + (3*sqrt(132) - sqrt(132)))\/sqrt(11))**2*-3.\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259876.5 - -115.2.\nAnswer: 259991.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-6) + ((-18149302)\/(-3318) - (-10)\/14) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 23*v**2 + v + 39. Let a be s(-23). Suppose -l = 4*o - 97, -14*l - 19 = -o - a*l. Calculate the highest common factor of o and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*r + 11*r + 32*r + 20*r + 20*r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 8 = -7*d. Let w(b) be the third derivative of b**3\/6 + 5*b**2. Let o(a) be the first derivative of -a**2 + 5*a - 1. What is d*o(l) - 5*w(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*x - 326 = 229 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (5 - (-2 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1928710 by 275530.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3592, 3464, 3350, 3256, 3188, 3152?\nAnswer: 3154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*f - 3 = 70*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 4:39 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*o, o + 638 = 10*r - 7*r. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.8 + 4.8. Suppose 16*u = -0*u + 64. Which is the nearest to 2.1? (a) 2\/3 (b) u (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 4) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3*y + 318, 4*l - 3*y + 2*y + 439 = 0. Let c = l + 241. Let f(d) = -250*d**2 + c*d**2 + 122*d**2. Let v(j) = -13*j. Give v(f(w)).\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*d - 19 - 89. Calculate the remainder when 67 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 13*j - 14. Let b(r) = -7*r + 7. Let v(a) = 11*b(a) + 6*q(a). Let c be v(8). Let m(k) = -k + 5 - 17 + 4 + 3 + 6 + 8*k**2. Determine m(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 555060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = d, 3*c - 2*c - 13 = 3*d. Suppose 4*k = c*m - 232, -5*m + 301 = k + 5. Calculate the remainder when m is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x + 2*x)*(-31 - 69 - x**2 - 7*x + 5 - 4*x**2).\nAnswer: -10*x**3 - 14*x**2 - 190*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*h - 29*h - 4*h to j + i*h and give i.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17, -9, -59, -139, -255, -413, -619, -879?\n\"Answer: -t**3 - 6*t**2 - t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4101 = -f + 3*f, 0 = 2*z + 4*f + 1650. Let s = -288 - z. What is s rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.6 and 151.612615.\nAnswer: 149.012615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12511714 divided by -134.\nAnswer: 93371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 14 = 2*g, -8*p = g - 5*p - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 3*c**2 - 4*c - 10. Let q be o(-3). Solve -q*y = -3*r - 19, 2*r - 7 = 5*r + 4*y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i**2 - 137*i + 500. Let h(q) = 39*q**2 + 960*q - 3504. Let s(k) = 15*d(k) + 2*h(k). Factor s(j).\nAnswer: 3*(j - 41)*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402, -394, -372, -330, -262, -162, -24?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 423 - 1343 = -3*p, 5*j = -p + 4558. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from {j: 6, p: 3, x: 1, c: 1, v: 3}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 307.\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7850? (a) 2 (b) -2 (c) -18\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 3:21 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ixooiio?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 2. What is z(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*(7527\/(-1737))\/((-39)\/2).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12473445.\nAnswer: 3, 5, 251, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 13 = -3*x - j, 4*j + 14 = 2*x. Let q be ((-15)\/(-4))\/x*4. List the prime factors of (q + 102\/24)*(9 - 1).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*p = -130*p + 26 - 242. Let v(g) = -g**2 - 11*g - 6. Let b be v(-10). Put p, -1, b in increasing order.\nAnswer: -1, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 8*h + 5. Let d(c) = -17*c - 9. Calculate -6*d(y) - 11*v(y).\nAnswer: 14*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 93\/(-45) - -5*(-4)\/(-12). Suppose -b = -2*b + 4. Let v = 106\/15 + -37\/5. What is the closest to v in m, 0.4, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*l + 123*l + 140*l.\nAnswer: 336*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01324433 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 20 + 0 - (19 + -18 + 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-87)\/4)\/(1\/(-4)). Suppose 2*c - 5*v = b, c + c - v - 67 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/27*18\/(-3). Solve 5*n = 4*o + 45, 8*o - 5*o + k*n + 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*n**6 - 1467*n**2 wrt n?\nAnswer: -6120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/14094 and 35\/1458.\nAnswer: 42282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/13))**(-2\/53)\/((q**2\/q*q)\/q*(q**(7\/8)*q*q)\/q) assuming q is positive.\nAnswer: q**(-15879\/5512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 516?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w = -2*j + 1548, -1534 = -2*j + 3*w. Suppose 0*y = -5*y + j. Let r = 287 + -273. Calculate the greatest common factor of y and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7231785 < -7231783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 0, 16, 48, 102?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 + -3 + 1)*-2. Let s be ((-12)\/18)\/(x\/(-12)). Let z = 8 + -5. Which is the second biggest value? (a) -2\/5 (b) s (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11020431 (base 5) to base 14.\nAnswer: 26940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0 - 8 = 4*p, -4*p = 2*z - 22. Suppose 5*y + z*a + 3 = -2, -y - 6 = 2*a. Let l = 21 + -14. Calculate the remainder when l is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x + 10. Let y be (-82)\/(-10) + (-2)\/x. Solve -y = -l - 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 941 - 881 = -5*j, 4*j = 3*y - 59 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10879086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 0*r**4 + 1\/12*r**5 - 13 + 0*r**3 + 5\/2*r**2 + 0*r. Let d(o) be the second derivative of l(o). Let z(b) = b. What is z(d(i))?\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w**2. Let u(r) = -2*r**2 - 3. Let o(l) = 40 + 39 - 81 - l**2. Let i(c) = 3*o(c) - 2*u(c). Give a(i(h)).\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 66a?\nAnswer: 66f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (-3 - (3 + 12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1095 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1600\/300 - (-2)\/(-6). Let p = -2 + 5. Solve c - j*c - 2*a = 18, 5*a = -p*c - 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**3 + 4*u**2 + 6. Let k(x) = 2*x - 24. Let f be k(10). Let l(y) = -7*y**3 + 5*y**2 + 7. Determine f*l(a) + 5*v(a).\nAnswer: -2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 = -20*k - 441 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -980709.\nAnswer: -1961418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1747509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) 20 (c) 1 (d) -3\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -7 + 21 - (-158 - -37)\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 != -693\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43, -119, -209, -319, -455, -623, -829?\n\"Answer: -t**3 - t**2 - 66*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 2. Calculate o(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 398?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, 44, -3, 78 in ascending order.\nAnswer: -8, -3, 2, 44, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 16*q**2 - 2*q + 6. Let p(y) = 17*y**2 - 2*y + 7. Let f(t) = -7*d(t) + 6*p(t). Let u be f(2). Let s = 63 + u. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1148 = -166*i - 318. Let b(h) = 16*h - 81. What is b(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o*o*o*o*o**(-2\/3)*o)\/o))**(5\/8) assuming o is positive.\nAnswer: o**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-54)\/30 - (-9)\/(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 - 43. Suppose 2*f = g + 5. What is the remainder when 62 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -k + 14, -25 = -2*k + 4*a - 9. What is the lowest common multiple of 424 and k?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 635\/3 - 212. What is the second biggest value in c, 33, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 a when three letters picked without replacement from {a: 12, v: 7}?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 0 (c) 2 (d) -3\/4 (e) -2 (f) -109\/5 (g) -17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -76.813? (a) 5 (b) -0.07 (c) 0.1 (d) -0.2 (e) 2\/3 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -56*j. Let m(l) = -l**2 - 48 + 105716*l + 49 - 105716*l. What is w(m(q))?\nAnswer: 56*q**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10034266 and 620?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6529.4 - -5579. What is p rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*b**2 + 17*b - 4*b + 3*b**2 - 6*b - 7*b.\nAnswer: 295*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 559.7 - 560. Which is the fourth smallest value? (a) -8 (b) -1 (c) 15 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -1 + 0*j**4 - 6\/5*j**5 - 2\/3*j**3 + 0*j + 0*j**2. What is the third derivative of l(s) wrt s?\nAnswer: -144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -22. Solve z = -5*q + 29 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r - 1. Let j be o(1). Let m be (-6)\/(-3) - 0 - -3. Let b = -5 + m. Solve j*t + b*t + 6 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -809626 and -809347 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 708.3573 plus -0.008344?\nAnswer: 708.348956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p + 43 + 13*p + 2*p**2)*(-1 + 1 - p).\nAnswer: -2*p**3 - 43*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 7:34 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 s when three letters picked without replacement from hhhshhhhhhhhch.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/2 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 2*t - 19, -o - 6*t + 11 = -3*t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(294) + sqrt(6)))\/(sqrt(15)\/sqrt(5)*-5 + sqrt(6)\/sqrt(2)*6).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.563105 millilitres in litres?\nAnswer: 0.001563105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23134 - -22?\nAnswer: 23211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 139 and 23247611.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -18. Suppose i = -6*r - 15 + 27. Let b(u) = -3*u**2 + 0*u + 4*u**2 - 1 - 2*u. Give b(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -207 = 1613815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-7 - (-40)\/(-24)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*z + 8, 2*z = 3*z - 5*b - 2. Find the second derivative of 15*u - 29*u**4 + 96*u**2 - 96*u**z wrt u.\nAnswer: -348*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5883.\nAnswer: 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3126*b - 1642*b - 1472*b. Let r(p) be the first derivative of -2*p**3\/3 - 1. Calculate x(r(c)).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 102, 96, 94, 102, 126, 172, 246, 354?\n\"Answer: n**3 - 4*n**2 - n + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**4\/12 + 7*f**3\/6 + 15*f**2\/2 + 3*f + 15. Let g be s(-5). Solve g*o - 1 = 6*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2)*-2)\/(11\/44). Solve 5*z + 2*u = u, z + 21 = o*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 98*g + 216*g + 241*g - 27*g + 321 - g wrt g?\nAnswer: 527","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001404558753 rounded to five dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 29 - 5 = 0. Find the common denominator of ((-12)\/36)\/(i\/(-177) - 0) and (-69)\/(-30)*10\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 99*h - 150 + 45*h + 80*h**2 + 22 - 12*h**3.\nAnswer: -4*(h - 8)*(h + 2)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20 - 0)\/((-3 + 15)\/(-6)). Solve -9*f = -o*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6*o - 56 = 0. Let d = -13 - o. Which is smaller: 9\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from {l: 2, y: 3, e: 7, j: 3, n: 3, o: 1}?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 10:01 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7281 - -2?\nAnswer: -727e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 - 17*g**3 + 20*g**3.\nAnswer: 3*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 69\/4. Let p = 0.53 + -0.13. Which is the closest to 2? (a) l (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -17. Calculate the remainder when 13 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 12.85. Let n = -0.25 + g. Let y = -3 - n. Which is the closest to y? (a) -4 (b) 0.2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 250 - 248. Solve -j*l + 8 = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1809 = 5*y + 3*w - 179, 2*y - 792 = -2*w. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6914576 or -6914575?\nAnswer: -6914575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/10 + (3246\/(-1365) - -2). Let l = i - -79\/546. Which is the closest to 1\/2? (a) 0.9 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4106*t. Let f(q) = -10*q. What is a(f(i))?\nAnswer: -41060*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*u - 4477, 5127 = 5*u - 5*z - 443. Let d = -591 + u. List the prime factors of d.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1535479 + -14.\nAnswer: 1535465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59593 and 2760.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2512 (base 11) in base 10?\nAnswer: -3280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.004 and 6345298.\nAnswer: -25381.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.47 - 0.33. Let y = -0.8 - d. Let w(o) = o**2 + 5*o - 6. Let p be w(-6). What is the smallest value in p, 3, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -c - 2*c + 19, s + 10 = 5*c. Let b(l) = 16 - 17 + 3*l + c*l - 5*l. Let g(h) = 2*h**2 + h - 1. Give b(x) - g(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -303 - -303. Solve -5*w - 5*b + 10 = u, -3*b = 2*w - 0*b - 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - g**3 - 150 - g**3 - 18*g + 28*g + 17*g**2.\nAnswer: -2*(g - 5)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**4\/4 + 23*j**3\/4 - 57*j**2\/4 - 179*j\/4 - 25 = 0?\nAnswer: -25, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**5*r**2 - 328*h**2*r**2 + 24*h*r**2 + 13 wrt h?\nAnswer: -40*h**3*r**2 - 656*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001 - 1111?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -10 and -16821118.\nAnswer: -16821128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2702998 to the nearest integer?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58261251005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113.41 - -1.41. Let x = n + 113. Which is the smallest value? (a) x (b) -3\/8 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0676 + -0.0337. Let s = h + -5.0339. What is the nearest to 2\/5 in s, 5, -0.4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8558965 divided by 12?\nAnswer: -8558965\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + (0 - (1 - -4)). Let o = 0.068 - 0.048. What is the smallest value in o, 3\/5, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-15)*(4*6)\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 - 0.71. Let y = -0.3 + 0.31. Let l = g + y. Sort -3, l, 1\/5.\nAnswer: -3, l, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -812, 1894, 6406, 12724, 20848?\nAnswer: 30778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**4\/(o*o*o\/(o\/(o\/((o**(-5)*o)\/o))*o)))\/(((o*o**(-1\/2))\/o)\/o**(7\/5)))\/((o*o**(-1\/4)\/o*o)**30\/((o\/o**(-5))\/(o*o*o**3))) assuming o is positive.\nAnswer: o**(-113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -30. Let t = a + -4.9935. What is t rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/8578552 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*f**2*t**5 - f**2 + 4895*f*t**2 + 2*f*t + 204*t**5 wrt t?\nAnswer: 1320*f**2*t**2 + 12240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1. Let b be (0 - -5)*(4 + 114\/(-30)). Let l(w) = w - 11. Let r(n) = b*l(n) - 6*c(n). Determine r(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -567*i + 81*i**4 + 322*i**2 + 3130*i**3 - 1045*i**2 - 54 + 3164*i**3 - 6231*i**3 = 0.\nAnswer: -3, -2\/3, -1\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 9:55 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = f - 6. Suppose -5*h + 8 = -3*j, 5*h = h + 2*j + 6. Let b be h + -14*1\/12. What is the closest to 0.1 in b, -0.4, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3055 rounded to two decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 1:03 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**29*w\/(w*w\/(w**12*w))*(w**(-3))**(-13\/4))**(9\/5) assuming w is positive.\nAnswer: w**(1827\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 < -162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 + -66. Suppose 13*p - b*p = 156. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 12*h**2 + 12*h + 13. What is the units digit of l(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123140?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.596562 - -1.5741. What is q rounded to 4 decimal places?\nAnswer: -0.0225","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3763*d + 75555 = -1483*d + 791*d - 582*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*390\/4290?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001205 to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4499695 (b) -0.1 (c) -4 (d) -0.4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) -0.037 (c) -45 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 263.1445 kilometers?\nAnswer: 263144500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 o, 1 n, and 1 j when four letters picked without replacement from {c: 2, a: 1, m: 1, j: 1, o: 1, n: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 840 and 84195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7584, -2, 1\/3, 73 in decreasing order.\nAnswer: 7584, 73, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 145633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 16*o = 4*i + 5, 0 = -i + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**4\/6 + b**3\/2 - 3*b**2\/2 - b. Let z(f) = -4 + 179*f**2 + 120*f**2 - 301*f**2 + 4*f. Give 4*i(h) - 3*z(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 81*t**5\/20 + t**3 + 953*t**2 - 853*t. Differentiate s(c) with respect to c.\nAnswer: 243*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83\/664*(-232)\/(-3)*33\/11.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -878, -1987, -3542, -5543?\nAnswer: -7990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14.812 and -38.\nAnswer: -23.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3557 = -343*h - 49*h + 1147 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-131278)\/2205)\/(7 + 3) + 6 and 53\/9.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03144935721 to 5 dps.\nAnswer: -0.03145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 + -90. Suppose 0 = 4*v, -r*o + 0*v = -v - 12. Let u = -21 - -23. Put u, -4, -1, o in decreasing order.\nAnswer: o, u, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 5*h - 3*m - 282, 4*h - 4*m + 392 = 0. Let o be 8\/(-10)*32\/h. Find b such that o - 8\/15*b**2 + 14\/15*b = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + y + 10. Let w be j(0). Let i = w + -6. Suppose -4*b - 614 = -4*n + 694, -5*b + 1344 = i*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44333015.23244 - 45274483.5324395. Let y = -941468 - i. Let z = -0.3 + y. Round z to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 72*l**2 - 2*l - 4. Let n(r) = -144*r**2 + 18*r + 10. What is 2*n(m) + 5*x(m)?\nAnswer: 72*m**2 + 26*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 148*a - 228*a + 3*a**3 + 33302 - 33300 as x*a**2 + p + s*a + v*a**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-2 + 1886\/(-4))*11\/(-66)*12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*a*c**3*m - 209501*a*m**2 - 19592758*c**3*m**2 wrt a.\nAnswer: -63*c**3*m - 209501*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*p - 2, -9*h - 10 = -4*h. Is 32\/21 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*k - 12. Let j be 28\/6 + 6\/(-9). Let o = j + -2. Solve 10 = -k*v - o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 17 - 79*q + 26.\nAnswer: -79*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 6*(-22)\/4. Let f = i + -18. Solve -3*o = 5*p + f, 5*o - 3*p + 4 + 0 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j + 4. Suppose 0 = 2*b - 2 + 6. Let n(l) = -20*l + 15*l + 21 + 21*l. Give b*n(q) + 11*i(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 2*l + 19*l + 19*l**3 - 2*l**3 - 12*l**3 - 14*l.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 61*t**7\/21 - 17*t**4\/12 - 32*t. Find the third derivative of q(m) wrt m.\nAnswer: 7320*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11466514 and 17554?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 168 = 4*o, 4*o - o + 4*c - 126 = 0. Suppose 5*w - o = -7. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33229.1 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4402 and 80848.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k - k + 4*k)*(-1 - 2 + 4) - 374*k + 864*k - 398*k)*(3*k + 0*k + 0*k)*(-2 - 1 + 7).\nAnswer: 1128*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1201122 (base 4) to base 8\nAnswer: 14132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/6))**(-18)*((q\/(((q*q*q\/(q**(5\/2)*q))\/q)\/q))\/q*q)**(1\/7) assuming q is positive.\nAnswer: q**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -35, 4 in descending order.\nAnswer: 4, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -e64 (base 15) to base 4\nAnswer: -302230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-8)\/6 + (-530)\/(-15) and 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1904, 7228, 16098, 28514?\n\"Answer: 1773*x**2 + 5*x + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 78 + 167\/(2004\/72)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -21. Solve 3*d + 28 = -d + 4*c, -x = 3*d - 4*c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 - 4*g**2 + 2*g**2 + (-2*g**2 + g**2 - 11*g**2)*(5 - 1 - 2).\nAnswer: -23*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, r: 3, t: 1}. What is prob of picking 3 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29833 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*k, -4*x + 3 = 12*k - 7*k. Suppose 4*u + x*b = 8200, -3*b = 4*u - 7559 - 643. Let v = -3769 + u. What is v rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (-11 + (-16 - -22)) - (16 + -3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2273867.\nAnswer: 2273867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30958, 30958, 30968, 30994, 31042, 31118?\n\"Answer: i**3 - i**2 - 4*i + 30962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -15384*y**2. Let i(x) = 7*x**2. What is w(i(h))?\nAnswer: -753816*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1\/2 (b) 0.8 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -98.9 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2444*v - 34. Determine g(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 11*r + 0 - 2\/3*r**3 + 3\/2*r**2. Differentiate p(u) wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2300*i**2*t**2 + 145724*i**2*t*z + 943*i**2 + 22*i*t + 55*t**2*z wrt z.\nAnswer: 145724*i**2*t + 55*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3024013 - 1621513. Suppose 5*i + 2*z + 1402500 = 0, -z - y = 5*i - 0*i. Round i to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -25, 30, 2, -5 in descending order.\nAnswer: 30, 5, 2, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/33, 3\/4, 0 in decreasing order.\nAnswer: 3\/4, 2\/33, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + n + 2)*(-53*n - 21 - 59*n + 114*n).\nAnswer: 2*n**2 - 21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628*u + 391*u + 17*u - 71553 = -u for u.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, 1, -4, -1, 89, -2, -3 in descending order.\nAnswer: 89, 1, -1, -2, -3, -4, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14353114 is divided by 261.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4762 * 6.\nAnswer: -2.8572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 5 + (5 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1818? (a) 1 (b) 0.5 (c) -5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 661492?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 311083438 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 - -2451?\nAnswer: 2433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.379570205636 + 1.4?\nAnswer: 37.779570205636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1720)\/(-6) + ((-116)\/12 - -9) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27\/2 + -139\/10. What is the nearest to -1\/2 in 1, -4, 18, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*s = -158194 + 163164 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120238, 119487, 118736, 117985, 117234?\nAnswer: 116483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2943397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/4, 18\/55, -2, 0.04, 1, -293?\nAnswer: -293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**3 - 183*g**2 + 1662*g + 15912 = 0 for g.\nAnswer: -68, -6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.029 - 1.029. Which is the nearest to 1? (a) g (b) -0.01 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -6080 (c) -531\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vravvavvaavvarv. What is prob of sequence ra?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 5. Let x = 0.24 + -0.14. Let u = x - -4.9. What is the third biggest value in u, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 355 = -5*x - 330, 503 = 4*j + 5*x. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*z - 1 + 1.\nAnswer: -153*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*g + 3*k, -3*g - 2*g + 32 = 4*k. Suppose 21 = g*o - 19. Solve 4*c + 4*l + 3 = -5, 24 = 2*c - o*l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 5, z: 5}. What is prob of sequence nz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-1)\/(((-21)\/(-3))\/(-7)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 15. Let q be d(-7). Solve -2*o - 11 = -q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 5\/3 (c) -4 (d) -28 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 13. Let q be o(15). Suppose -k + 17 = q*r, 0*k = 2*r - k - 23. Find the third derivative of 0*u**3 + r*u**2 - 4*u**2 + 12*u**3 wrt u.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1124 + 1540. Is 104 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-199 - -199 - (-9 - -1)) + (-4 - -50) + -5.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 0. Suppose 2*n + 11 = b, -4*b - 3*n = -b - 6. Suppose b*z + 2 - 12 = -4*k, -25 = -5*k. Which is bigger: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2. Let w = -3 - -4. Let f(q) = 2 - 1 - w - q. Give o(f(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 10 - 26 = 0. Let o(l) = -7*l**3 - 3*l**2 - 11*l - 4. What is the tens digit of o(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 + -1033732?\nAnswer: -1033685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 37. Let r = t - -21. Suppose -5*u + 16 + r = 0. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 585.90583 to 1 decimal place.\nAnswer: 585.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -10*m + 2. Suppose 5*w + 10 = -3*c, -4*c + 7*w - 24 = 3*w. List the prime factors of q(c).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 7*x**2 + x - 3. What are the prime factors of u(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6067*a**6 + 6*a**4 + 2*a**3 - 7*a**2 + 4961?\nAnswer: 728040*a**3 + 144*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91655776 and 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*u - 5*u. Let g(s) = s**3 - s**2 - 2*s - 10. Let h be g(u). What is the highest common divisor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 (base 15) in base 2?\nAnswer: 10111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-6)*8\/(-3). Suppose 9*u - 23*u - 70 = 0. Sort u, l, 2 in decreasing order.\nAnswer: l, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2\/7*p**3 - 8\/7*p - 2\/7*p**4 - 32\/7 + 24\/7*p**2 = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 15108483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**7\/1155 + m**6\/220 + 19*m**2 - m. Factor z(i).\nAnswer: 2*i**3*(i + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -25.3. Which is the smallest value? (a) k (b) 0.1 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-4*6*sqrt(85)*-1)\/(4*sqrt(500)*1))*3.\nAnswer: 9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.199418 rounded to three decimal places?\nAnswer: 0.199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g + 57*g + 3*d - 5690 = 0, 16 = 4*d. What are the prime factors of g?\nAnswer: 2, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuyb when four letters picked without replacement from ybuybbbybyyyyhuuyyhh?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 484 (c) 2 (d) -13 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 421563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5253163814645 - 11\nAnswer: 5253163814634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143 (base 8) to base 9.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 9 = j + 3*r, j - 4*r = 9. Let c be 3\/(-2)*8\/(-6). Suppose -4*l + 4*k + 52 = 0, -7 = -l + k + c*k. What is the remainder when l is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.177 + 214150609514\nAnswer: 214150609514.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0296 + -3.3246. Let q = 3.3 + u. What is q rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -549 divided by 44\nAnswer: -549\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 25*g + 17. Let k be u(-26). Calculate the remainder when 57 is divided by (-63)\/k + 14 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**3 - 64671075*l**2 + 258684360*l - 258684380 = 0?\nAnswer: -12934219, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmememmmm.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (7 - (-28 + 18 + (3 - 10) + 178))?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r + 4*w = 48, 8 = -2*w. Calculate the remainder when 350 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10554, 86676, 293298, 695670, 1359042?\n\"Answer: 10875*d**3 - 3*d - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/(a\/(a*a**1*a))))**45\/(a*a**1)**(1\/2))\/((a\/(a**(1\/8)\/a))\/(a**(1\/2)\/a*a))**(-44) assuming a is positive.\nAnswer: a**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-50)\/(11250\/315))\/((-3)\/5))\/(6\/72).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwwyacwacyywdywc. Give prob of picking 1 c, 2 w, and 1 y.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 40756657.6 to the nearest 1000.\nAnswer: 40757000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -116*c - 15. Let z be v(-10). Let q(s) = -s**2 + s + 2. Let g be q(2). Suppose g = -2*w + z + 117. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + sqrt(12) + (-2 + sqrt(3))*3)**2 - sqrt(12)\/((-2*sqrt(64) + sqrt(64) - sqrt(64)) + sqrt(64)))*-2.\nAnswer: -1086 + 623*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -13 - ((-8 - -2) + 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2706\/10 + (-14)\/(-35). Suppose -3*h = 3*r + r - 157, -5*h - 2*r = -c. Suppose -13*m = -6*m - 77. Calculate the highest common divisor of m and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119 - (1 + 15 - (-91 - -103)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.097 in 0, 1, -63, 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7*f + 2. Let z(k) = -8*k - 1. Let x be 91\/(21\/(-3)) - -11. Calculate x*z(o) - 3*r(o).\nAnswer: -5*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/56 - 2295\/(-63). Solve 1 = 37*a - w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 1)\/(5 - (-2548)\/(-511)). Suppose 2*l + 381 = b. Is 22 a factor of (-9*l\/21)\/(6\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k + 3*k - 8 - 3*k - 4. Let j be i(-5). Suppose -2*s + 237 = 2*z + s, j*z = -s + 352. Calculate the greatest common divisor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 - (-4*(9 - 7) + -2 + 3) and 134?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -46.2, -301, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -9 - 12) + 17 - 39?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 15 = 2*p. Find the second derivative of 0*i**2 - 2*i**p - 6*i**2 + 6*i**2 - 3*i wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -183*i + 186. Let y be t(1). Solve -11*a = -y*a + 9*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - k**2 - 3*k + 5. Let d be h(2). Let y(w) = 3*w**3 - 3*w**2 - 3*w + 3. Let b(u) = -3*u**3 + 4*u**2 + 4*u - 4. What is d*b(o) + 4*y(o)?\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1\/179915589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 74\/323?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:10 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + 0*v + 0*v + (15 - 15 + 40*v**3)*(1 - 4 + 5).\nAnswer: 78*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5 = -x. Solve -f**2 + f - x + 6 - 1 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**2. Let c(a) = -811*a**2. Give c(f(m)).\nAnswer: -20275*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 12:00 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 31 = 8. Suppose 5*v = 20, 3*v - s = -m - v. Suppose 2*x - m + 5 = 0. Solve -x + 0 = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -12. Let w = m - -6. Suppose -4*s = -w*r - 75 - 25, 4*s + r = 124. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 42.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkukkkkkkukkkuk. Give prob of sequence ukk.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 70.87444 kilometers?\nAnswer: 7087444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40224 and 2382096?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 2:20 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -856 - -857. Suppose -5*d - 3*p = 21, 4*d + 8 = 4*p - 2*p. Is 1351 - (b - d\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47911304 and 236?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 6167*o**4\/24 - 2239*o**3\/3 - 2*o**2 - 2*o - 89. What is the first derivative of w(i) wrt i?\nAnswer: 6167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14549 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/6)\/(21\/9 - 3). Let s(d) be the second derivative of 0 - 1\/24*d**3 + 0*d**2 + 0*d**4 + d + 1\/80*d**j. Determine c so that s(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 33*o + 33. Give s(28).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 0.04\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.11 + -287.89. Let s = y + 290.9. Is -2\/681 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 9*t**5\/5 - 5*t + 8. Differentiate k(i) with respect to i.\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -12) + 0 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 18. Let m be 4\/o*4*1. Let i be m + 3\/(3 - (-15)\/(-4)). Which is the biggest value? (a) 0.4 (b) -3 (c) i (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -105*y**3 + 2*y**2 + 3*y - 32. Let c(v) = -v**2 + 18. Determine 2*c(u) + o(u).\nAnswer: -105*u**3 + 3*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -17, 16, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 64 - 17 - 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 7 = 8. Calculate the lowest common multiple of 20 and (-2)\/6 + (-55)\/v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2 = 7*m - 2*m, o = m + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -17*p**3 - 7*p**2 + 15*p + 38. Determine n(-3).\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + (-89)\/3*-3.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = 8*f - 1074. Suppose f*d = 180*d - 1057. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*u**3 + 185?\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a - 6. Let w(g) = 4*g - 5. Let f(y) = -3*c(y) + 2*w(y). Suppose -3304*r + 3397*r = 558. Let h(v) = -6*v + 7. What is r*h(l) - 5*f(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 2*k)*(2*k**2 - 19*k**2 - 13*k**2).\nAnswer: -30*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0.1, -0.4, -3\/8, -5617 in ascending order.\nAnswer: -5617, -0.4, -3\/8, 0.1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 34*h - 6. Determine l(-2).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, -3, 4, 3 in ascending order.\nAnswer: -3, 2, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-nine fifths of a decade?\nAnswer: 1176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 393872 and 23422.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 983\/9882 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7 - 6)*(-23 - 77 + 22)*(3*k**2 - 6*k**2 + 2*k**2) + (2 - 2 + 2*k)*(3 - k - 3).\nAnswer: 310*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 + 65 = 2*q. Let t = -49 + q. Let n = 6 + t. Calculate the least common multiple of n and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i + 10. Let q be s(5). Is q at most 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 4. Suppose 4*t + 20 = -3*c, 4*c + 0 + 8 = 4*t. Let u be m(c). Let s be (-5)\/(-15) + 21\/(-54). Is s <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from judfgkdg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4)*(4 - (462 + 12)). Let u = z - 239. Sort -5, -8, 4, u in decreasing order.\nAnswer: 4, u, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -335\/118679 or -1?\nAnswer: -335\/118679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-18340906.\nAnswer: -55022718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11785 + -0.2162528.\nAnswer: -11785.2162528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 + 0*j**3 - 2*j**3)*(0 + 2*j**2 + 0) + 35*j**5 - 2202277 - 25*j**2 + 2202277.\nAnswer: 25*j**5 - 25*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**2 - 14*t + 77. Determine f(6).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307 at most 1314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-6 - 8 - 1) - -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b6 (base 15) in base 2?\nAnswer: -11011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 1\/14 (c) 1\/12 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01731022 to five dps.\nAnswer: -0.01731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 9839763 to the nearest ten thousand.\nAnswer: 9840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 45*t - 1 = 42*t, 3*n - t + 3 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27485, -27481, -27475, -27467, -27457?\n\"Answer: u**2 + u - 27487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, -1 in increasing order.\nAnswer: -1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -11*f + 72. Let m be r(3). Calculate the greatest common divisor of m and 351.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 12*s - 8*s = -52, 2*z + s = z - z - 114 for z.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - p**2 - 11*p - 6. Determine m(-5).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/11170 and -37\/22455.\nAnswer: 50164470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -890, -716, -542, -368?\n\"Answer: 174*a - 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/27 + 20\/4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7415253 + 1?\nAnswer: 7415254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (396*a**2 + 8*a - 3*a - 397*a**2)*(14*a - 12*a - 3*a)*(4 - 5 + 3).\nAnswer: 2*a**3 - 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 107322?\nAnswer: 37\/107322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 19. Calculate the remainder when 14 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 2737?\nAnswer: 2737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h + 2*h + h - h - 2*h + 4*h - h - h + 3 - 3 - h + 2*h + 2*h - 5*h + 5 - 5 - 2*h + (-2*h - h + 2*h)*(3 + 3 - 5) - 5*h + 3*h + 0*h)*(h + 0 + 0).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*k**2 + 76*k**2 - 42*k**2 + 4*k**2 + 2*k**2 - 4*k**2 + (-2 + 2 + k)*(0*k + k - 2*k))*(-10*k**2 - k**2 - 11*k**2).\nAnswer: 396*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357 = 74*d - 31 + 192 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = 2*t. Suppose 3*p - 36 = -t. What is the least common multiple of 13 and (-7)\/(-2) + p\/20?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 94 = -2*x, 0 = 4*m - 4*x - 26 + 118. Let r be 0*((-15)\/m)\/((-6)\/(-4)). Let y = -0.5 + 0.9. What is the second smallest value in y, -2, r, -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 162, 169, 176, 183, 190, 197?\n\"Answer: 7*f + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2198?\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -3*w - 1818516*z + 1818517*z, 3*w = -2*z + 79 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 586004 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/((-140)\/(-21)))\/(20\/(-8)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13845816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 300 = 76. Let m = r + -90. Factor 0*z - 1\/2*z**5 + 1\/2*z**2 - 3\/2*z**3 + 3\/2*z**m + 0.\nAnswer: -z**2*(z - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 2*n + 10. Let a be j(0). Let x = a + -10. Suppose x*q = 2*q - v - 28, 4*v = -q + 32. What is the lowest common multiple of q and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-13)\/957)\/((-45)\/945). Let r = s + -3\/29. Factor -8\/11*d + 6\/11 + r*d**2.\nAnswer: 2*(d - 3)*(d - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -4\/3*q**3 + 3\/4*q**4 + 5*q + 0 - 1\/20*q**5 - 17\/2*q**2. Is 10 a factor of f(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p + 5. Let m be u(8). Is 21 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 17*k**2 + 25*k - 10. What is the hundreds digit of x(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*y**3 - 457*y**3 + 236*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*(sqrt(539)*1*3 + -2)**2 - ((sqrt(539) + ((sqrt(539) - (sqrt(539) + 1)) + sqrt(539))*4)*-6)**2*-4).\nAnswer: -40572*sqrt(11) + 1957272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**3 - 91*c**2 - 142*c - 2. Determine w(-21).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, 0.4, -3, 15, -1, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 9:40 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68 and 255.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8357 + -0.1643. What is the nearest to -1 in 343, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 + 162*f + 34664. What is m(-97)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -107 (b) 5 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 12:19 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2937?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 161\/((-3)\/(-3))*-1. Let b be 2 - 3 - (-5358)\/33. Let p = z + b. Find the common denominator of p and -1\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - u**2 + 17*u - 3. Determine p(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**6\/480 + 89*a**5\/240 - 43*a**4\/12 + 85*a**3\/6 - 18*a**2 - 37*a. Factor n(i).\nAnswer: -(i - 85)*(i - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9\/8)\/(r\/r**12))\/(((r**(-11)\/r)\/r)\/r**(1\/2)) assuming r is positive.\nAnswer: r**(187\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -2, -4*x - 8 = -3*l - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q**2 + 5*q + 13. Let w(m) = -8*m**2 + 6*m + 15. Let u(s) = 7*n(s) - 6*w(s). Let l(v) = 4*v**2 - 2*v - 2. Calculate l(j) + 3*u(j).\nAnswer: j**2 - 5*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**5\/20 + 5*f**4\/6 + 2*f**3 - 3*f**2 - 15*f. Let r = 20 - 9. Let i be s(r). Solve 0*z - i = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/4*(-14 - -10). Let i be -4 - (-1 - x)*1. Solve -3*f - 5 = 2*p, -3 + i = 3*f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {m: 1, x: 1, h: 1, q: 2, t: 1, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t - 50 = 0. Let b(v) = -2*v**2 - 5*v - 2. Let a be b(-3). Let z = a + 13. Calculate the lowest common multiple of t and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -3\/8, -4, 1.2 in increasing order.\nAnswer: -4, -3\/8, 1.2, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**5\/15 - o**4\/12 + o**3\/6 + 455*o**2. Determine c(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k + 4. Let i(d) = -8*d - 100. Let r be i(-13). Let z(g) = 3*g - 3*g - 5*g + r*g. Determine m(z(o)).\nAnswer: 5*o + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u - 17. Let o = 42 + -46. Let q(y) = 2*y + 8. Let g(n) = o*l(n) - 9*q(n). What is the units digit of g(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 t, and 1 s when three letters picked without replacement from {q: 1, y: 5, j: 1, t: 7, s: 4, o: 1}.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-31)\/(j*j**(1\/23)) assuming j is positive.\nAnswer: j**(-737\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g + 60 = 35*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905534.\nAnswer: 2, 7, 71, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2121 times -0.1?\nAnswer: -0.32121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3410559*f**2 + f**3 + 2*f**4 + 0*f**3 - 10*f + 1 + 3410561*f**2 to o*f**3 + y*f**2 + v*f**4 + d*f + l and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 164*x**2 + 2207*x + 77. Calculate r(17).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-38)*p**(-11\/5))\/(p**35\/(p\/(p\/p**(-1\/35))*p)) assuming p is positive.\nAnswer: p**(-2598\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -19\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-49))\/(32870\/(-23009))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 7)*(3 + 1 - 5)*(3*q**3 - 41*q + 41*q + 2*q**2).\nAnswer: -9*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1518 and 18?\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50400 and 73085.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -a11 (base 16) to base 4\nAnswer: -220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (-1*sqrt(77) + sqrt(77) - sqrt(77)))*6 + (sqrt(77) - (2*sqrt(77) - sqrt(77))*-2))\/(sqrt(396) - -3*(sqrt(396) + sqrt(396)*-3)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**2 - 5*m + 3. Suppose -7*u + 13 = -3*r - 8*u, 4*r = -3*u - 19. Determine c(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h**2 + 17*h**2 - 461*h**3.\nAnswer: -461*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*m - 43*m = 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2.2. Let j be (2 - (-48)\/(-9))*12\/110. Which is the second biggest value? (a) f (b) -6\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 1. What is the third smallest value in 2\/7, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09475 - -0.19475. Which is the fourth smallest value? (a) 0.7 (b) -1\/56 (c) 1 (d) o (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 283 + -288. Which is the nearest to -0.1? (a) 0.3 (b) s (c) -113\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3663173 to the nearest integer?\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 12*i. Let f(k) = 15*k. What is f(o(w))?\nAnswer: 180*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1318, 5266, 11838, 21034?\n\"Answer: 1312*b**2 + 12*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {m: 3, q: 2, t: 2, o: 2, f: 10}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.203? (a) -189.9 (b) 4 (c) -4\/3 (d) 2\/9 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3108\/(-224))\/(-37) + (-11)\/8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (43 + 0 - -1)\/((-70)\/(-35)). Let p be (4 + -1)*30\/18. Suppose -p*a = r - 5*r + 44, -h = -2*r + a. Solve -3*w = 1 + r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/(-343710)*67)\/(1\/(-6)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2279832 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23, -1\/2, -2\/7, -131\/2, -1\/5, -5, -28?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2. Let k be (2\/(-4))\/((-3)\/12). Let r(g) = -5*g**2 + g**2 + 3*g**k. Give -8*r(t) - 3*w(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.2403*16.\nAnswer: 163.8448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 17 = 3*a, 3*j - 58 = a - 55 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-5*1*sqrt(85))\/(-4*sqrt(5)*5))**2.\nAnswer: -sqrt(17) + 81\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36947644.\nAnswer: 2, 9236911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-7\/3)\/l)**(-13\/3)\/(l*l**15*l\/(l**(6\/11)\/l)) assuming l is positive.\nAnswer: l**(-727\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-8 + 2 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24713628?\nAnswer: 2, 3, 2059469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25022393801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7935 and 225.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**5 + r**5 + 0*r**5)*(-2 + 2 - 3)*(-10 + 6 - 8).\nAnswer: -72*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-2))\/(1\/(-9)*-9). Solve 5*k + 6 = n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9*y**2 - 5. Let u(i) = 28*i**2 - 16. Suppose -2*o + 70 = 3*k, -7*k = -2*k - o - 121. Suppose 9*g - k = 120. Give g*x(q) - 5*u(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 403217431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - 7. Let q = 8 - m. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/((-3)\/(-12)))\/2. Suppose c*j - 12 = 24. Suppose -r - 2*r = -j. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 9*l - 8. Let o be z(10). What is the remainder when 73 is divided by (0 + 1)\/(o\/38)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 8:24 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 14) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(((n\/(((((n\/(n*n**(2\/3)))\/n)\/n)\/n*n)\/n))\/n*n*n)\/n)*n))**(-1\/48)*(n\/(n\/(n*n**1*n)))**(-24) assuming n is positive.\nAnswer: n**(-10379\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.076 + 0.224. Let p = 0.08 + -0.48. Let k = -0.3 + -0.7. What is the nearest to k in d, p, 2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26837, 27811, 28783, 29753, 30721, 31687, 32651?\n\"Answer: -v**2 + 977*v + 25861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3479963909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 248, 529, 0 in descending order.\nAnswer: 529, 248, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 3*s + 4. Let g(a) = a**3 + 3*a**3 + a**3. Let x be g(-1). Let l be p(x). Let k(y) = -y - 2. Determine k(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1)\/m)**17)**(-49))**(-20) assuming m is positive.\nAnswer: m**(-33320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h**2. Let m(b) be the second derivative of -5*b**3\/2 - 5*b**2\/2 + 16*b + 4. Give r(m(i)).\nAnswer: -1350*i**2 - 900*i - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f**2 - f**3 + 8*f**2 + 5*f - 3*f**4 - 15*f**2 to the form t + l*f**3 + v*f + n*f**4 + o*f**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 8. Let g = -1.1 - -0.9. Let h = -3 + 3. What is the nearest to g in u, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*v + 7 = -0*v, 0 = b - 3*v + 3. Let z(j) = 2*j**2 - 74*j + 12. Let n be z(37). Let g be n\/(-18) + 17\/b. Put g, -0.3, 2 in increasing order.\nAnswer: -0.3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 332*w**2 + 16*w + 21. Let o(d) = 112*d**2 + 5*d + 8. Give -3*n(b) + 8*o(b).\nAnswer: -100*b**2 - 8*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dpvpddbjbdbdpbdn. What is prob of picking 1 p, 1 j, 1 n, and 1 v?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5, 7 = -5*x - v + 31. Suppose j = x*w - 2*j - 79, 82 = 5*w - 4*j. Solve -5*y - 11 - 14 = 0, -2*y = 4*f + w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3814982, -3814981, -3814980, -3814979, -3814978, -3814977?\n\"Answer: w - 3814983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(4\/11))\/h*h)\/h*(h\/(h\/h**2))\/h)**(-2)\/(((h**(1\/8)*h)\/h)\/(h\/(h\/h**(-1\/9)))*(h**(-2\/5))**(-32\/5)) assuming h is positive.\nAnswer: h**(-80563\/19800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, c: 3}. What is prob of picking 3 u and 1 c?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 5, -9 in decreasing order.\nAnswer: 5, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25814 - 23763. Calculate the remainder when v is divided by 40.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*g - 515, -r - 3*g = 4*r - 510. Let p be (1 - r\/(-30))*-4. Let x = -1108\/65 - p. What is the second biggest value in x, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.054 - 99.946. Let l = 91.2 + p. Let h = -8.8000041 - l. What is h rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**2 + 3*j + 1. Let k(f) = -8*f**2 + 8*f + 2. Give 5*c(m) - 2*k(m).\nAnswer: -9*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -16*w**2 + 0*w**3 + 0 + 0*w**4 - 17\/20*w**5 + 17*w. What is the derivative of v(u) wrt u?\nAnswer: -51*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 40263 = 14643. What is the remainder when b is divided by 171?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -18*n - 48. Which is the nearest to -0.1? (a) 5 (b) -1 (c) n (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*-2*sqrt(272) + sqrt(272) + (1*sqrt(272) + sqrt(272))*-6 + sqrt(272) + sqrt(272)*-2 + 3.\nAnswer: -88*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 9:05 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*a - 4*z + 5, -2*z = 0. Let o(c) be the first derivative of 47*c + 13*c**2 - a*c**2 - 2 - 14*c. Differentiate o(w) with respect to w.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*q + 5 = 34, -4*q - 19 = -3*l. Suppose 0 = l*z - 0*z - 45. Calculate the highest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13684 (base 9) in base 2?\nAnswer: -10010001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**2 + 12*d - 7*d**2 - 3*d**2 + 16*d**2 + 12 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139281028 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.775417563 rounded to 3 decimal places?\nAnswer: 3.775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**4\/6 + 29*l**3\/6 - 29*l**2\/2 - 71*l. Calculate the remainder when 400 is divided by j(12).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14033996384 - -14033997007.30603985. Let k = m + 0.69450215. Let f = k + -624. Round f to five dps.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -28.004. Let f = -1.024 + b. What is f rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 14*d**2 + 3*d - 16. Let n(b) = 14*b**2 + 4*b - 15. Let y(r) = -3*n(r) + 4*s(r). What is the derivative of y(g) wrt g?\nAnswer: 28*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(168))\/sqrt(12))\/sqrt(7) + 5 + sqrt(300)\/sqrt(6).\nAnswer: 5 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 9:08 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 - 97. Let v be (s\/((-15)\/(-20)))\/(-2). What is h in -v*h**2 + 2\/3*h**3 - 2\/3*h**5 + 2\/3*h**4 + 0*h + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 10*c**2 + 9*c + 11. Let k be 2\/(-6) + (-280)\/12*2\/(-5). What is j(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in 3\/2, 2, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/21 and 3\/5 - 2394\/(-1485).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 4. Suppose -o + 4*c + 12 = 0, 6*c - 2 = -3*o + c. Let t(n) = 12 - 1 - 6 - o. Let b = 13 + -6. Give b*t(s) - 2*i(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -15. Suppose g = y*i - 2*g - 11, 5*i - 28 = -g. What is the least common multiple of i and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 88*n + 39. Let m be q(3). Let w = m - 238. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5279819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -50. Suppose -z*p + 2601 = 206. List the prime factors of p.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136721366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 4 = -5*z. Sort z, 2\/7, -4 in descending order.\nAnswer: z, 2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -626 in 2, 0.4, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31038867\/5 or -6207773?\nAnswer: -31038867\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1904 divided by -6?\nAnswer: 952\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 23671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1583*w**3 + w + w**2 + 1585*w**3 - 2*w**2. Let m be l(2). Suppose -11 = -5*h + m, -4*o = -4*h - 64. What is the remainder when 250 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/((-10)\/(-20)*(-4)\/1). Which is the nearest to 2? (a) -12 (b) -8 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14006 - -2745187\/196. Find the common denominator of a and -79\/3360.\nAnswer: 23520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a + 112 = 0. Suppose -3*m = m - a. Let l = -3 + m. What is the greatest common divisor of l and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 2*k - k)*(-5*k**2 + 3*k**2 + k**2) - 25611*k**2 + 25611*k**2 + 411*k**3 as r*k + l*k**3 + z + i*k**2 and give l.\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*x + 378 = -81*x - 113*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -840 divided by -120\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -40. Suppose -32 = -3*n + 4*u, 5*n + 2*u = 3*u + 25. Suppose l = -s - 1 + 4, -n*l = 3*s - 9. Solve 10 = k*i - l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j = 164 - 184. Let o = 7 + -5. Suppose 6 = -o*x - x. Let b(l) = l - 1. Let p(r) = r - 4. Calculate j*p(q) + x*b(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17165 + -17125. Solve -85 = j*v - 57*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 19 - (5 - 0) - -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**3 + 30 - 30)*(-2 - 3 - 4 + (2 + 0 - 4)*(-1 - 5 + 4) + 1 + 0 + 1).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20744?\nAnswer: 2, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16.6795*0.1\nAnswer: -1.66795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 97*o**2 - 1644*o - 4032.\nAnswer: (o - 112)*(o + 3)*(o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*c + 5*o - 1, 0 = 2*c + 4*o + 8. Is -2 + c - (-81 - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -17*z**3\/6 + 4*z**2 + 10*z. Let u be y(-4). Find the second derivative of u*w**5 + 2*w - 6*w - 68*w**5 wrt w.\nAnswer: 160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (240\/(-880) - 36110\/49742) + (-1 - -2). Is 0 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22037.94 kilograms to tonnes.\nAnswer: 22.03794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.24827 millilitres in litres?\nAnswer: 0.08524827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 12:52 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s + 2. Let z be a(0). Let h(r) = r**2 + 3*r - 25. Let b be h(4). Suppose -3*w - 458 = -7*w - b*l, 0 = z*w - l - 224. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1284*a + 645*a - 30 + 637*a.\nAnswer: -2*a - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11111021 - 112202200?\nAnswer: -101021102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.7 (b) -3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.01, -2\/3, 112, -2\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 118\/3. Let s = 0.372 + -0.202. Sort s, 5, -0.2, c in increasing order.\nAnswer: -0.2, s, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 0*b**3 + 5*b + 301 + b**3 - 5*b**2 - 298. Calculate z(6).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*z + 227 = -20*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of v**4 - 12121*v**3 - 706*v - 37572329.\nAnswer: 4*v**3 - 36363*v**2 - 706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -56615 (base 8) in base 14?\nAnswer: -8a29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2525 divided by -402401?\nAnswer: -2525\/402401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18569369?\nAnswer: 7, 13, 204059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + -110110001101010010001100?\nAnswer: -110110001101010001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.30925 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -344361 rounded to the nearest one thousand?\nAnswer: -344000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4847 - -4847. Solve a*s - 7 = -7*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12325, -24646, -36967, -49288, -61609?\nAnswer: -73930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + s**2 + 21*s + 78. Let k be t(-3). Let d = 0.4 + -0.2. What is the fourth smallest value in d, k, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17612*a + 23886.\nAnswer: -17612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29656 + (14\/4)\/(4\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6596 - 456. Suppose 0*v + 4*v = t. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + (2 + -5 + sqrt(350)\/sqrt(7))*-3)**2.\nAnswer: -180*sqrt(2) + 481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, y: 3, e: 2}. Give prob of picking 1 e and 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-3\/4)*u*u))\/u**(2\/31))\/(u**5\/u**(-1\/7)) assuming u is positive.\nAnswer: u**(-4737\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8564 + -8563. Which is smaller: s or 2\/14221?\nAnswer: 2\/14221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 12*i**2 - 5*i - 4. Let d(b) = 24*b**2 - 9*b - 9. Let h(k) = -4*d(k) + 9*r(k). What is the second derivative of h(t) wrt t?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12722, -22762, -32802?\nAnswer: -42842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 6*x - 3*x - 40 = 0, -3*x = 2*y - 26. Suppose 17 - 2 = -5*s. Let w be s\/y*6\/9. What is the second smallest value in w, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1032754\/79 or -13074?\nAnswer: -13074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 11 - 24\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316820?\nAnswer: 2, 5, 7, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 113, 112, 111, 110, 109, 108?\n\"Answer: -x + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*o = 3*f - 42*o - 50*o - 8, 32 = 2*f - 2*o - 2*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*d**2*t - 2*d*t + 1195*d - 176420*t wrt d.\nAnswer: -22*d*t - 2*t + 1195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 16 + 36 = 0. Suppose -s = -b + 8. Solve -2\/3*a**s - 2\/3 - 4\/3*a**3 - 4\/3*a**2 + 2*a**4 + 2*a = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/66 and -35\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/41 - -185\/164. What is the nearest to 0 in w, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 2*s + (1 - 1 + 3*s)*(1 + 0 - 3) + (30 + 93 + 22)*(0*s + s - 3*s) + (1 + 1 - 5)*(2*s + s - 5*s) in the form w*s + g and give w.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s - 45. Let q be -22*(-3)\/s*-5. Is q + -2 + 3 + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 u, and 1 h when four letters picked without replacement from {d: 7, h: 2, p: 1, u: 2}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tutxecu. Give prob of sequence utc.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) -2 (c) 3\/4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21222, 42362, 63502, 84642, 105782, 126922?\nAnswer: 148062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 544 (b) -0.9 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5*q)*(-19 + 4*q + 19)*(7 - 7 - 6*q).\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = -2*x + 2*a, 3*a = -2*x - 6. Let l(p) be the third derivative of 1\/12*p**4 + 0*p + 1\/6*p**3 + x + p**2. Differentiate l(c) with respect to c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/290440 and 85\/22?\nAnswer: 3194840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 110101?\nAnswer: -110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l**3 + 188*l**2 + 119*l - 2311. Give c(27).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63.5 - 9.5. Let a = w - 50.38. What is a rounded to 1 dp?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 + 173*q**3 + 6749*q**2 + 59823*q.\nAnswer: -q*(q - 207)*(q + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34473 and 0.3.\nAnswer: 10341.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 112371039 to the nearest 1000000.\nAnswer: 112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 2\/7, 3 in descending order.\nAnswer: 64, 3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 357 and 1938.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8576005.7998688 + 8576018. Let t = -12.2 + f. What is t rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0*m + 4. Suppose -6 = -3*h + m*j, 6*j - 2*j + 12 = -h. Let g be -13 + 15 + 2 + h. Which is smaller: 18\/5 or g?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 807, 1707, 2607, 3507?\nAnswer: 4407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/(-3 - 3) - 2. Suppose 12*u - 480 = g*u. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 14*g + 35. Give h(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -0.4, -2\/13, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-10 + 18)) + 11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + 44 + -1 + -5 - -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*w + 248. Calculate the highest common divisor of w and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19659234, -19659235, -19659226, -19659201, -19659154, -19659079?\n\"Answer: m**3 - m**2 - 5*m - 19659229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.3, 0.3, 69, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16013.\nAnswer: 67, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 6, c: 7}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.46 + 0.478. Let l = s - 0.228. Let k = -0.2152 - l. What is k rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040106 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: Is -72985817 at least -72985818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from giitiiaigiiiitigttti.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1047881 is divided by 87315.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2175 and 20?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**5 + 351072*x**4 - 10272366612*x**3 + 82160678112*x**2 - 123234698304*x = 0.\nAnswer: 0, 2, 6, 58508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -3*x**4\/8 - 30*x**3 - 900*x**2 - 12000*x - 34. Solve g(m) = 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112030, -112024, -112018, -112012, -112006, -112000?\nAnswer: -111994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**3 - 90*w**2 - 88*w - 22. Give l(-29).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 20, 26, 34?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -551 (base 6) to base 7.\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/((-2)\/(-24)). Suppose -4 = -d, -2*d + 0*d = 5*p - 198. Let w be (-3)\/4 - p\/h. Solve -w*b + 4*u - 24 = -0*b, -4*b = -3*u + 23 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 10:29 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884 is divided by 428.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + q**2 - q + 4. Let z be c(0). Suppose 0*o = 2*o - z. What is the remainder when o is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 j when four letters picked without replacement from zjjjjjjjjczcccjjcjc.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 129 + -55. Suppose -41 = 3*r + 10. Let b = 36 + r. What is the remainder when y is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-1))**(3\/17))**(-44))**(-7))**(18\/5) assuming a is positive.\nAnswer: a**(-16632\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 50, 0, 5 in increasing order.\nAnswer: -5, 0, 1, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 593\/2 + -940\/3. Suppose -2*z + 3 = -1. What is the common denominator of n and (-291)\/(-18) + z\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3692?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 9*s - 5, 0 = 4*a + 3*s - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 50411124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 2\/5, -7, -2\/7, 0.1378 in increasing order.\nAnswer: -7, -2\/7, 0.1378, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g**3 - 11*g**2 + g + 5. Let z(u) = 8*u**3 - 12*u**2 + u + 6. Let o(l) = 7*c(l) - 6*z(l). Let w be o(5). Solve -m = -5*m - w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-27) + 224\/(-126). Let m = -55.92 + 55. Which is greater: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**3 + 32*i**2 + 111*i + 34. Let k be b(-9). Is -562 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-15)*-9)\/(12\/8)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 222541?\nAnswer: 222539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + 23707?\nAnswer: 23677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10406 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2801\/5 + 560. Which is the biggest value? (a) -2\/23 (b) 2\/41 (c) i (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5 = 84139*m - 84142*m, -2*m - 5*o - 22 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 129376 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -271 - -307. Calculate the highest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 864*o**2 + 9936*o**4 + 859*o**2 - 1723*o**2 - 3*o**2 + 3*o**2 - 2*o**4 + (-2*o**3 - 1 + 1)*(o + 3*o - 3*o) + 1 - 1 + 2*o**4.\nAnswer: 9934*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -229*o**2 - 4*o. Let k(m) = -9*m**2 + m. Give h(p) - 2*k(p).\nAnswer: -211*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55818*b**4 - 36*b**2*u**3 + b*u**3 + 11*b*u**2 - 3*b + u + 4172 wrt b?\nAnswer: -669816*b**2 - 72*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*j - z, 4*z - 1 = 5*j + 9. Let t be (0 + j\/3)\/((-2)\/18). Let l be (-2 - t)*(6\/(-8) + 2). Solve 4*a + 33 = -5*d, -l*a - 2*d - 17 = 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 8. Determine r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iivd when four letters picked without replacement from iuvvdivduiiiididdvi.\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 1\/12*i**4 - 1\/6*i**3 + 0*i + 0 + 3*i**2. Calculate h(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -1. Suppose 4*l = 5*p + 784, 5*l - 998 + 55 = -3*p. Let r = 192 - l. Is y smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 34*i**2 - 88*i + 175. Calculate k(-31).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -69217 - 30?\nAnswer: -69247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 6*a**2 - 4*a - 21. Give c(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 - 37. Let k(i) = 112*i**2 - i + 2. Let o be k(-1). Let m = o + -109. What is the remainder when c is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298498.\nAnswer: 2, 149249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*x**2 + 110*x**2 + 352*x**2.\nAnswer: 431*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -52*c + 3. Let s(x) = -52*x + 3. Let m(d) = 3*i(d) - 4*s(d). Is m(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-120))\/((-18)\/15)*3\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1147 is divided by 163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 27089 divided by -263\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2465 - 1637. Let z = n + -486. List the prime factors of z.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k = -4*f + 33, -f = -3*k - 17. Suppose o - 5*b = 17, 2*b = -o - f*o. Suppose -2*s - 4 = -3*s. What is the lowest common multiple of s and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -21. Suppose -2*j - 13 = -t*j. Sort j, -28, 5.\nAnswer: -28, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 5. Let y be q(0). Let k = 7 - y. Suppose -k*b = 2*b - 8. Solve -p - 9 = b*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y + 6. Let q(n) = n - 2. Suppose 2*p + 15 = -t, 3*p + 27 = t + 2*t. What is p*q(v) - 3*r(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -176\/3 - -353\/6. Factor 0 + z*m**3 + 0*m + 0*m**2 - 1\/6*m**4.\nAnswer: -m**3*(m - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6454426322 - 1?\nAnswer: -6454426323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 6 = -12*u. Suppose -5*r + 4*z = 41, -r - u*z = -2*z + 13. Let j(k) = -2*k - 2. What is the remainder when 62 is divided by j(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -62\/3? (a) 4\/7 (b) 2\/11 (c) 8\/12333\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 + 13 + 21 + 22 + -16.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 24.31767 years?\nAnswer: 2.431767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 55, -3, 1\/4.\nAnswer: -3, 1\/4, 15, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17869*d**2*w**3 - 53*d**2 + 3*d*w - 1902650*w**3 + 2*w wrt d?\nAnswer: -35738*d*w**3 - 106*d + 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6.9 times -965\nAnswer: -6658.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 277.8?\nAnswer: -277.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6041, -5459, -4877, -4295, -3713?\n\"Answer: 582*j - 6623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6 + -1 + 2002\/(-21). Do x and -97 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (1 - 5 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**2 + 80*c = 0.\nAnswer: -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -310, -2010, -6494, -15154, -29382, -50570, -80110?\n\"Answer: -232*w**3 - 76*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2. Let d(c) = 38272735*c**2. Determine d(x(i)).\nAnswer: 38272735*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2. Let d(n) = 561*n**2. Determine t(d(m)).\nAnswer: -314721*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56\/9, -4, -0.3.\nAnswer: -56\/9, -4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4991 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.091 and -3862?\nAnswer: -351.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {m: 5, d: 1, p: 1, r: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -100?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m**2 + 469*m + 109. Give y(67).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605 = r + u, 5*r - u = 3*u - 3034. Does 5 divide r\/(-4)*4*10\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 1. Let q be z(-1). Let u(j) = 0*j**2 + q*j + 4*j**2 + 0*j. Let t(o) = -28*o. Determine u(t(n)).\nAnswer: 3136*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r. Let t(s) = -60*s**2. Calculate t(y(j)).\nAnswer: -2940*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2827090237?\nAnswer: 19, 5003, 29741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 297 - 167. Calculate the highest common factor of s and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 307 - 306. Let u = -80.5 + 81. Which is the fourth biggest value? (a) g (b) -5 (c) u (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 15*r**7\/14 - 8*r**6 + 61*r**5\/15 - 2*r**4\/3 + 1930*r**2 + 3. Find v, given that w(v) = 0.\nAnswer: 0, 2\/15, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 34 = -11. Solve -h*j + 37 = 4*p, -5*p + 2*j + 2*j - 5 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26865463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3402 and 9698157?\nAnswer: 174566826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10212 divided by 59.\nAnswer: -10212\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/9 and 22\/1631?\nAnswer: 14679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -4 - 125\/42. Suppose -8 = -2*v + 2. Let d(l) = -l**2 + 3*l + 9. Let b be d(v). Do i and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.97 + -49.03. Let q = 49.5 + i. What is the fourth biggest value in q, 2, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87878400 and 900?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 50*q**2 - 20*q**2 + 29*q + 3*q**2 + 34*q**2. Let o(x) = 34*x**2 + 15*x. Let a(j) = 7*o(j) - 4*t(j). What is the second derivative of a(u) wrt u?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 - -72. What is the nearest to 1 in w, 1\/5, -2\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -3. Let j = 8863 + -8859. Sort j, -0.1, -17, s in increasing order.\nAnswer: -17, s, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6318 or -1?\nAnswer: 6318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 8878?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**(-1\/5))\/a*a*a*a**(-1\/2)*a)\/(a**5*a*a*a**1))**(-2\/135))**(-2\/3) assuming a is positive.\nAnswer: a**(-106\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1107 and 1189?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Let q(i) be the first derivative of -i + 3*i**2 - 3*i**2 + 4*i + 1 + i**l. What is the first derivative of q(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/772 and -45\/22.\nAnswer: 8492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 8. What is the remainder when 20 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 174 + -178. Sort 1, b, -5 in increasing order.\nAnswer: -5, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 472 - 475.37. Let a = p + 3.77. Put 20, 3, a in descending order.\nAnswer: 20, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1202112120010 (base 3) to base 7\nAnswer: 10645014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**9\/1512 - x**7\/105 - x**6\/90 + x**5\/20 + x**4\/6 + 7*x**3 + 22. Let m(k) be the third derivative of p(k). Factor m(u).\nAnswer: 2*(u - 2)*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -154719 less than or equal to -154704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*g*j*p + g*j + 2*g*p - 5*g - j*p + p wrt j?\nAnswer: 4*g*p + g - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 731540 and 940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 355649\/193176 - 58\/2683. What is the common denominator of d and 69\/(-198) - (-170)\/51*21\/(-35)?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -1, -3, 1 in descending order.\nAnswer: 15, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*-1)\/((-4)\/(-8)). Let m = -2 - l. Let v(f) = -f**2 - 6*f - 7. Let h be v(-5). Sort m, -1, h in decreasing order.\nAnswer: m, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2 - 96520*h - 96516 = 0. Calculate h.\nAnswer: -24129, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -80816 or -78821?\nAnswer: -78821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2052161 - 0?\nAnswer: 2052161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.4, 2, -587 in decreasing order.\nAnswer: 2, 2\/3, -0.4, -587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18.948 - 689875262\nAnswer: -689875243.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107331 and 1653.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8085504 and 987.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-2))\/((-6)\/(-12)). Suppose y = w*m + m, 2*m - 2 = y. Let j = y + 22. Solve 6 = f + 5*u - 12, 4*u = -2*f + j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85572 is divided by 719.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/30 and -115\/906.\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12479 divided by 110?\nAnswer: -12479\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isysssyiusssyius. What is prob of sequence iysy?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 - 3*z + 1. Give h(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -71*q**6\/120 - 17*q**3\/3 - 2*q**2 + 10*q. Find the first derivative of p(v) wrt v.\nAnswer: -213*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25964?\nAnswer: 2, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaayrof. What is prob of sequence fa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujuujjjjjjjjuu. What is prob of sequence ujuj?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - u**2 - u + 5. Let l(n) = -n**3 + 2*n**2 + 2*n - 6. Let x(b) = 3*b**3 + 2*b**2 - 1. Let i be x(1). Let t(r) = i*l(r) + 5*d(r). Factor t(h).\nAnswer: (h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2196, -17881, -60460, -143379, -280084?\nAnswer: -484021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - ((-10 - -5) + 2)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.18 and 2948790?\nAnswer: 2948790.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4078 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*y + 4*i = -17, -5*y - 3*i = 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 12:40 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9161*1\nAnswer: -9161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5685321 divided by -2\nAnswer: -5685321\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*z + 10 = 0. Let o = 54 + z. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 505 and 736189.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + sqrt(98)*1 + sqrt(98)))**2 + (sqrt(4) - sqrt(32)\/(1*sqrt(8) + sqrt(8)))\/(-6*sqrt(4)\/sqrt(2)) + 0.\nAnswer: 12095*sqrt(2)\/12 + 3672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52857625 is divided by 134?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*m**4*n + 14*m**4 - 6*m**3*n - 3*m**3 - m**2*n - 75118*n wrt m?\nAnswer: -192*m*n + 336*m - 36*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j - 6 + 6 - 2*j as q*j + p and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c + 3. Let a(y) be the second derivative of -1\/3*y**3 + 0 + 130*y + y**2. Let o be 4*1*(-6)\/8. Determine o*a(v) + 2*b(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42799 is divided by 629?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -2503 and -2504 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/19? (a) -0.4 (b) -2 (c) 18404\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*11\/231)\/((-1)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1.1 (b) -0.1 (c) 0.1 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/80591?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -374*y**2 - 5690*y - 9. Give x(-15).\nAnswer: 1191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w**3 - 2*w**2 - w + 2. What is q(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 - 153*c + 1575. Let g be z(10). Calculate the highest common divisor of 966 and g.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 - 11*o**4 - o**4 + (-o + 0*o + 0*o)*(-1 + o**3 + 1) - o**4 - o**4 + 4*o**4.\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/(-112) + (-10)\/(-7). Differentiate -14*w**2 + y + 4 + 36*w**2 - 5*w**2 wrt w.\nAnswer: 34*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - c**2 + c - 1. Let n(b) = b**3 - 3*b**2 - 1. Let g be (-2)\/(1 - (-24)\/(-8)). Give g*j(f) - n(f).\nAnswer: -2*f**3 + 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -18 (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a - 17*a = 336. Calculate the remainder when a is divided by 16 + 1 + 5 + -7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*b + 42*b + 2*a - 174 = 0, -2*b + 96 = -2*a for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7074 = -4*x + 4*p - 6966, -3*p + 244 = 10*x for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6 + 0*c**2 + 6*c - 9*c**3 + 10*c**3 + 7*c**2. Let w be f(-6). Put w, 2, -4 in descending order.\nAnswer: w, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 8:26 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/(-420))\/(18\/120).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9*(124\/(-12) - -3). Suppose 4*z + 8 = 2*z, -5*g = 4*z + i. Let l be (30\/45)\/(g\/12). What is the nearest to 2\/7 in l, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6719, 2, -1, 11, 4, -30 in descending order.\nAnswer: 11, 4, 2, -1, -30, -6719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d - 5*d**2 + 5*d**2 - 2*d + 4 + d**2. Let o(n) = n**2 - 5*n + 3. Let v be 9\/(3*-1)*1. Let j be (v\/(-6))\/(2\/(-24)). Calculate j*o(r) + 5*y(r).\nAnswer: -r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 5, -7, 3 in decreasing order.\nAnswer: 5, 3, 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 3:41 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*t - 24, 3*t + 0*t = -3*d + 18. Suppose -2 = d*z - 20. Find the third derivative of 0*o**z - 2*o**2 - o**6 + 4*o**2 wrt o.\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 50*u + 18699. Let n be x(-114). What is i in 0*i + 0 + 2\/3*i**4 - 10\/3*i**n + 2*i**2 + 2\/3*i**5 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 1. Let d be (-30)\/4*6\/(-9). What is the units digit of m(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.058654027 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12106259.\nAnswer: 11, 1100569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135 - -200. Let i = 31 - 5. Calculate the greatest common factor of i and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by 94?\nAnswer: 17\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**7\/140 - 7*v**6\/180 + v**5\/6 - v**3\/3 - 50*v + 47. Let d(f) be the third derivative of y(f). Let d(z) = 0. What is z?\nAnswer: -10\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -2191*x**6\/3 + 435*x**2\/2 - 3*x + 3111. Find the second derivative of y(b) wrt b.\nAnswer: -87640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five halves of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5840 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 49 = -2*o. Let d = o + 41. Calculate the remainder when 60 is divided by ((-48)\/(-3))\/(d + 0 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by -3730?\nAnswer: 43\/3730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**5\/30 - 31*y**4\/24 - 79*y**3\/6 - 31*y**2. Calculate the remainder when 76 is divided by n(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqioqoooiooooooo. What is prob of picking 2 i?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-3)\/(-15))*-15. Suppose g = -g + u. Calculate the greatest common factor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 1 + 2*c - c)*(7*c**2 - 3*c**2 - 2*c**2) + c - c + 2*c**3.\nAnswer: 10*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10249*v**2 + 1631*v**4 - 3621*v**2 + 496*v**4 + 1647*v**4 wrt v?\nAnswer: 90576*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4, -5*l - w - 68 = w. Let m be (-5012)\/(-18)*9\/l. Let q = m + 7058\/33. Calculate the common denominator of q and -33\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(84\/30)\/(-2). Suppose -z*x + 1254 = 15*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -300 + 339. What is the third derivative of -109*y**2 + 20*y**6 + n*y**6 - 46*y**6 wrt y?\nAnswer: 1560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -2.4\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 152, 306, 458, 608, 756, 902?\n\"Answer: -a**2 + 157*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 + 9*s**2 + 7*s - 10. Determine m(-5).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3001131232132 - 11?\nAnswer: -3001131232203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-5)\/10*2. Let n(u) = 22*u - 16. Let a(h) = 44*h - 31. Let y(x) = t*a(x) + 7*n(x). Find the first derivative of y(p) wrt p.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 26 - (43 + -72)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 633 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 1 + 1)*(121*y - 2*y**2 - 13 - 121*y) to the form f + z*y**3 + a*y**2 + t*y and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 377735 (base 10) to base 16\nAnswer: 5c387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408*i + 309 + 99 = 0. Let d(y) = 2*y**3 - 2*y**2 - 2*y. Let b(a) = a**2 - a. Determine i*d(r) + 2*b(r).\nAnswer: -2*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**5 - 17013*l**4 - 24111645*l**3 + 24281805*l**2 + 217005048*l - 217158192 = 0?\nAnswer: -2836, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4\/g)**32 assuming g is positive.\nAnswer: g**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**34)\/(s*s\/(s\/((s**(-16)*s*s*s)\/s*s*s))) assuming s is positive.\nAnswer: s**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 4*n**2 + 2*n)*(6 - 1 + 11) - n**2 + 2*n**2 - 3*n**2.\nAnswer: -66*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 540206?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10 + 7)*(-5)\/3. Solve g*s = s - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2108 = -42*v + 8*v. Suppose 6*g - g - 170 = 5*r, -5*g + 140 = 5*r. Calculate the greatest common factor of v and g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-520)\/(-2600)*10\/6*186?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*r = 15, 4*u + 4*r = 3*r + 5. Suppose -2*c + 4*l + 6 = u, 4*c + 3*l - 4 = 8. Factor -11*d + d - d**3 - c*d**2 + 9*d - d**3.\nAnswer: -d*(d + 1)*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l**3 + 3*l**3 + 5*l**3)*(-9*l + 4*l + 0 - 2) as s*l**3 + c*l**4 + j + r*l**2 + o*l and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**3 + 0*y**3 + 0*y**3 + 3*y + y**3 - 3*y - y**3 + 2 - 2 + (y + 4*y - 3*y)*(-2*y**2 + y**2 - 2*y**2) as z*y**2 + h*y**3 + u*y + v and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -218 divided by 2\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -272552 (base 8) to base 5\nAnswer: -11024334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51120 by 1065.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39 + -270?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2606*c**2 + 3219.\nAnswer: 5212*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1539))**2 + sqrt(1539) - sqrt(1539))*5.\nAnswer: 270*sqrt(19) + 7740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**3 - 111*p**2 + 12*p + 29. Let j(l) = -l**3 - 39*l**2 + 4*l + 10. Give 6*i(r) - 17*j(r).\nAnswer: -r**3 - 3*r**2 + 4*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**3 - 6\/5*r**5 + 38 - 1\/4*r**6 + 0*r**2 - 15\/8*r**4 + 0*r. Factor b(p).\nAnswer: -3*p**2*(p + 1)**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 10:38 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) -256 (c) 0.4 (d) 1\/6 (e) -4 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**1*y)**(-9\/8))**(-2\/125) assuming y is positive.\nAnswer: y**(9\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -564 + 563.1. What is the third biggest value in -2, 3, -0.03, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 4, 3, -49, -5.\nAnswer: -49, -20, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30313 + 22220?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/7631158 and 149\/48.\nAnswer: 183147792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 18*p - 30. Let w be b(7). Suppose 5*t = m + 149, 2*t = -2*t - 5*m + 96. Suppose -28*h = -t*h + w. Calculate the greatest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/3668 and 39\/45304.\nAnswer: 5934824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -55.24, 0.4, 2?\nAnswer: -55.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/84108 and -99\/9454.\nAnswer: 2439132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 832067*x - 2496210.\nAnswer: (x - 832070)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 1. Let z(c) = c + 1. Let i(j) = j - 6. Let f(n) = i(n) + 3*z(n). Calculate -3*b(y) + f(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2\/2 + 470210*d + 110548722050 = 0. What is d?\nAnswer: -470210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32696, -32680, -32652, -32612, -32560?\n\"Answer: 6*o**2 - 2*o - 32700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-21) - 4\/6. Let m = 265 - 264. Which is the closest to h? (a) m (b) 0.6 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 7.98. Let o = 0.0232 - q. Round o to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -18, 2, 0.5, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174599.8mg to micrograms.\nAnswer: 174599800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + r - 5 + 13.\nAnswer: r + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 6309 + 43031 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Let l = 8.3 + -8. Let v = -0.8 + l. Which is the third biggest value? (a) u (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/6 - (-206)\/12. Solve 2*q - 2*v = v + 13, 0 = -4*q + 3*v + m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1252 - -1932. Let k = r - 1791. List the prime factors of k.\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*o - 348, -17*v + 20*v + 2*o = 328. Let d = 1 - -13. Calculate the highest common factor of v and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*j = -2*m - 14, 4*m - j + 7 = 0. Let n be (m - -5) + (-10)\/(-5). Find the third derivative of s**2 + s**2 - 2*s**3 + 3*s**2 + n*s**3 wrt s.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6642 and 4.\nAnswer: -2.6568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73897683\/223 - 331379. Let r = -29525\/4014 + q. Calculate the common denominator of r and 2 - 97*2\/(-20).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -5\/48*m**4 + 0 - 3*m**2 + 0*m - 1\/12*m**3 + 1\/20*m**5. Suppose l(p) = 0. What is p?\nAnswer: -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 2. Let i be r(6). Solve -4*b + 0*b = -i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26\/5 + -152\/35. Factor -22\/7*d - 4*d**2 - 12\/7*d**3 + 2\/7*d**5 + 2\/7*d**4 - x.\nAnswer: 2*(d - 3)*(d + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5896, -12489, -19080, -25669?\nAnswer: -32256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/9 + (-16)\/6. Suppose 344*h - 341*h + 33 = 0. Let n be (-82)\/(-451) - (-13)\/h. Which is the nearest to 1? (a) n (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55435*q = 55898*q - 2778 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1379 times 4.2?\nAnswer: -5791.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0, 650, -0.1, -1\/7, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 376277 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 242400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1592*b - 12711. Determine c(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216809 = -37*o - 8*o + 218699 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by -29?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -0.1 (b) 1 (c) -4 (d) 4752011\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -5, 1\/14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-50))\/(4 - (1 - -2))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -11. Suppose 5*a + w = -30 - 3, k*w + 25 = -5*a. Let p = a + 15. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 35*t - 5. Is f(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18406451, -3, 2.\nAnswer: -18406451, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**2 + 3*i - 1. Let g = 30 - 14. Let q(t) = g*t**2 - 17*t + 0 - 2*t + 3*t + 4. Let z(n) = 2*q(n) + 11*y(n). What is z(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 332214572 to the nearest integer?\nAnswer: 18227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -607037*s**4 + 326*s**2 + 170*s + 3.\nAnswer: -14568888*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7457 + -51\nAnswer: -7508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 22*y**3 - 43*y**2 + 12 - 25*y**3 + 49*y**3.\nAnswer: 2*y**3 - 43*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 3\/4*m**3 + 1\/40*m**5 - 2*m - 1\/4*m**4 + 0*m**2 + 8. Let s(t) = 0. What is t?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/76768 and -29\/2?\nAnswer: 76768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/22 - (-9 - (-19881)\/(-99)). Suppose -20 = 3*k - 110. What is the highest common divisor of k and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12444638 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 11*c**3 - 3*c**2 + 3*c + 5. Let n(z) = 6*z**2 - 866*z - 17*z**3 + 3*z**2 + 428*z + 434*z - 5*z**2 - 7. Determine 7*f(i) + 5*n(i).\nAnswer: -8*i**3 - i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 1:08 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299*v - 300*v = 4*q - 150, v + 2*q = 150. What is the highest common factor of v and 1425?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 - 7*x - 8. Let q be j(2). What is the biggest value in 2, q, 5\/4, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by -2?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-50)\/(-4) + (8 - (-102)\/(-12)). Solve 1 = 4*o - n, -o - 13*n = -s*n + 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 101 = 4*n, n - 52 = -3*k - 35 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 14) to base 12\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**2 + 12*s**2 - 57*s**2 + 18*s**2 + 11*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 12:31 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 16*r + 4. Let k be a(-16). Suppose -17 = -k*q - 5. Solve u = -3*g + q*u - 5, 4*g - 2*u = -10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 3649.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 42780.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1378644894?\nAnswer: 2, 3, 11, 569, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.56939 litres in millilitres?\nAnswer: 33569.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 856187?\nAnswer: 856187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/3)\/o*o)\/(o*((o*o**(-2\/9))\/o)\/o))\/((o\/(o**(2\/5)\/o))\/o*o**(4\/3)))\/((o**(-1\/8)*o*o*o*o**(2\/3))\/(o**4*o**(-2\/11))) assuming o is positive.\nAnswer: o**(-8321\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 210\/900 + (-3)\/45\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 2, f: 1, e: 1}. Give prob of picking 1 f and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3803626460.\nAnswer: 2, 5, 1429, 133087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 r, and 1 n when three letters picked without replacement from rrnfffqlfsllflfsq?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -706 divided by -2\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -31*z**2 + 1766*z - 3540. Let h(n) = -54*n**2 + 3532*n - 7079. Let v(j) = 7*f(j) - 4*h(j). Determine o, given that v(o) = 0.\nAnswer: -1768, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3007 + -3011. Which is the fourth biggest value? (a) -1 (b) 0 (c) 3\/7 (d) -92 (e) j\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 729144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58286 = 42*j - 179350. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/9 + -7\/18. Let m = 32.9 - 33.4. What is the third smallest value in m, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1580318?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 967 divide 13483848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 854882 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.03393 * 1\nAnswer: 0.03393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 228061 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y - 25. Calculate u(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1903, 2060, 2323, 2692, 3167, 3748?\nAnswer: 4435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -385, -392, -411, -448, -509?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 5) to base 7\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - (-1 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 84*r**3 + 14*r**2 + 21*r - 19. Is p(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, -3\/4, -0.2, -1.7 in ascending order.\nAnswer: -12, -2, -1.7, -3\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43.2 - 45.16. Let u = -1.04 + q. What is the second smallest value in 5, u, 3, -9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k - k**4 - k + (2*k**2 - 2*k**2 - 2*k**4)*(-1 - 2 + 2) + (46 - 46 + 9*k**3)*(2*k + 2 - 2) to the form h*k**2 + v*k**3 + l*k + g*k**4 + a and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 12:38 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 5, 8, -5 in increasing order.\nAnswer: -6, -5, -2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 746224 + -1063?\nAnswer: 745151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -6 - 1\/2*s**2 + 0*s. Let y(k) = -492*k**2. Give y(x(t)).\nAnswer: -492*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -131031.\nAnswer: -5\/131031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 99*s**4 - 176 wrt s?\nAnswer: 396*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + -4 + 16 - (-1 + 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*18\/60*1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 3*y + 13. Let u be g(-5). Suppose -u*q - 33 = -4*q. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2302666 (base 7) to base 5\nAnswer: 33133442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from {m: 2, e: 4, h: 4, r: 5}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-4 + 2)) + -128 + 96 + 110\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.1 + 23.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiis when four letters picked without replacement from aiaiasiiiaiiaaiii.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n + 61 = 95 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*z**3 + 5*z**2 + 17*z**3 + 0*z**2 + 83*z**3.\nAnswer: 22*z**3 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93172 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -139\/5 smaller than -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 4774.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3287261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - d**2 + d + 1. Let t(k) = -2 - 36*k**3 + 31*k**3 - 3*k - 3*k - 2*k**2. Let r(f) = t(f) + 4*y(f). Determine r(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let f(g) = -1313343*g**2 - 1. Determine f(y(c)).\nAnswer: -1313343*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 35 = -0*i + 3*i, -4*n + 5*i = -59. Suppose -5*p - n = -j, -2*j + 0*p = -p - 13. Let m(q) = 7*q + 2. What is the tens digit of m(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*o + 313*o + 3*j + 9 = 0, 4*j + 14 = 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1309 (base 10) to base 14.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 - 4*m**4 - 5*m**4 + 32*m**4 + 28*m**3 - 24*m**4 as g*m + k*m**4 + y*m**3 + n + f*m**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**4\/8 - 87597*n**3\/4 + 9*n**2\/8 + 131397*n\/2 + 87597\/2 = 0. Calculate n.\nAnswer: -58398, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.3 + -3.951. Let t = -0.049 + u. Let s be (60\/16)\/(-5) + 0. What is the nearest to s in -0.02, t, 1\/6?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00445197 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 358 = 332. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10689 and 152700?\nAnswer: 1068900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 9:09 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3*2\/42)\/1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a kilometer in centimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l**2. Let z(y) = -480*y + 15. What is z(p(u))?\nAnswer: 2880*u**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 252401c (base 13) in base 10?\nAnswer: 11576018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 - -1.5. Which is the second smallest value? (a) -2 (b) y (c) 0.5 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2035*x + 20203. Determine k(10).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2817 and 23\/11268.\nAnswer: 11268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 20 = 2*f. Suppose -10 = 2*g, f*g + 85 = i + 2*g. Is 25 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p + 2*n + 8 = -22*p, 5*n + 6 = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 176360001011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 2*s + 4. Let r(u) = -u**2 - 4*u + 2. Let h be r(-3). Let z be b(h). Suppose z = p - 7. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 36 = 35 - 29 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**4\/12 + 3*u**3 - 91*u**2 + 59*u. Find the first derivative of s(y) wrt y.\nAnswer: -2*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 48.3. Round j to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 8, 38, -977?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c**2 + 1001*c + 8. Let x(r) = -21*r**2 - 2002*r - 20. Calculate -5*v(u) - 2*x(u).\nAnswer: 2*u**2 - 1001*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 7*p - 12. What is the tens digit of f(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43815 divided by 8763\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -71755, -143505, -215253, -286993, -358719, -430425, -502105, -573753?\n\"Answer: y**3 - 5*y**2 - 71742*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -418 or -800?\nAnswer: -418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqrtwrtlrqplqlttt. Give prob of picking 1 w and 1 l.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 - m**2 + m**2)*(-19*m + 21*m - 12*m).\nAnswer: 20*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7554399533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-21) - 52\/(-14). Suppose 0 = 4*f + 3*v - 429, 3*v = h*f - 0*v - 411. Suppose 0 = -5*y - 5*w + f, 4*y + w = -7 + 94. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -442405 (base 8) to base 6\nAnswer: -3104341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 99787*x + 9978691. Give v(-100).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*t - 169628, -325450 = -5*m - 2*t - 113429. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*p**3 + 8*p**3 - 10*p**3 + 20*p**3 + 2 to u*p**3 + o + x*p**2 + n*p and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1066 - -9917. What is the thousands digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34245 - -2?\nAnswer: 34251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(325\/(-15))\/5. Let g be -2 - 10*(-3)\/6. List the prime factors of o\/(g\/3*-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -19*a - 50. Let s be l(-14). Let h be s\/14 + -13 + 1144\/91. What is the highest common factor of 120 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eesvegveseuefuv. What is prob of sequence vfu?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 95*v + 289. Let b be l(-35). Let q be -1 - (-2 + (-2)\/(-2)). Suppose -2*y + 5*y - b = q. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.03 (b) 13 (c) 0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10102, 27353, 44604?\n\"Answer: 17251*u - 7149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18392 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = 5*d + 8, -d + 7 = -3*k. Let c = d - -5. Calculate the remainder when 63 is divided by ((-36)\/c)\/(3\/(-4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**3 - 6*o**3 - 16 + o**2 + 51 - 30*o**4 - 86 to the form g*o**3 + a*o**4 + v*o + h*o**2 + y and give y.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-2)\/(-1) + (-5)\/(16 - -9))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 11*t + 18. What are the prime factors of y(11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 3*v**2 + 2*v. Suppose 42*g = 147 - 273. What is z(g)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 43*(-3)\/(-6)*10. Let c = s + -104. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 3318048.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-40)\/12 - -4) + (-340)\/6. Let f be j\/(-26) - -3*(-4)\/78. Find the second derivative of 5*q**2 + 3*q**2 - 9*q**f + 16*q + 8*q**2 wrt q.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, t: 1, x: 1, i: 2}. Give prob of picking 1 x, 1 f, 1 t, and 1 i.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 0*k**2 + 0*k**2 + 3*k**2. Let j(y) be the second derivative of -y**3\/3 + 17*y. Let t(q) = q. Let l(r) = -j(r) - t(r). Calculate l(h(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-16))\/((168\/42)\/(16\/4))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-7)\/m)*m**5)\/(m*m**(2\/11)*m)**(-6\/29))\/(m**(-2\/9)*m**14)**47 assuming m is positive.\nAnswer: m**(-1817642\/2871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 7*c**2 - 22*c - 26. Let v be w(-9). Let d = -135 + 143. Solve -4 = -v*r + d*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-41)\/(-3))\/((-5)\/(-15)). Let w = t + -26. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26122712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3*-15847774\nAnswer: -47543322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 60 = -4*h - 0*h, 2*h + 4*j - 36 = 0. Suppose -99*n - 36 = -96*n, -3*u - n + 90 = 0. Solve -h*l + u = -6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5542598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 3. Let l(r) = -3*r + 919. Let o(h) = -l(h) - 4*y(h). Find the first derivative of o(z) wrt z.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - 5.06. Let z = -0.54 + q. Which is the closest to z? (a) 3 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5808914*z. Let h(d) = d**2 + 11*d. Calculate f(h(q)).\nAnswer: -5808914*q**2 - 63898054*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 10 (c) -0.5 (d) -1\/6 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 12*m**2. Let d(r) = 22*r**2 + r**2 - 11*r**2 + 2*r**2 + 16*r**2. What is n(d(k))?\nAnswer: 10800*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1850 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8a - -17b?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*k - 3, -2*j - 2*k = 0. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149 * -140722\nAnswer: -20967578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4872 is divided by 1217?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*x + 437*x**3 + 991*x - 435*x**3.\nAnswer: 2*x**3 + 829*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -49*z - 63. Let w(q) = 3*q + 4. Give 4*b(u) + 63*w(u).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 522 (b) 0.2 (c) -2143 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 202*t - 206*t - 20 = 0, 3*l - 15 = 3*t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118 + -7. Let t = -775\/7 + k. Let l = -2 + 2.2. What is the biggest value in -3\/7, l, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 times 262?\nAnswer: 145148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 4. What is the second derivative of -2*k - i*k**3 + k**3 + 3*k**3 wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 2*n = 4*r + 12, -3*n = -r - 10. Suppose -5*v - 40 = -3*w, 0 = r*w - 3*v - 5 - 21. Is 17 a factor of (-69)\/(-2) + (-5)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -10000010111101?\nAnswer: -10000010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2 and 73\/1300015248.\nAnswer: 1300015248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 23, 11 in decreasing order.\nAnswer: 28, 23, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 + 2\/4*-6. Let n = -4 + v. Solve -10 = -n*w + 5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -620 + 662. What is the remainder when t is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + 22 - 24*p - 45 - 1 + p + 1 + (2*p - 6*p + 2*p)*(-4 + 2 - 2) to the form u + y*p and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6205888)\/119344)\/((-3)\/(15\/(-3)*6\/4))?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 15 + 39. Suppose -4*t + q = 16. Solve -4*s + t*h + 19 = 5*h, 4*h = -4*s + 24 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 251, 276, 305, 338, 375, 416, 461?\n\"Answer: 2*w**2 + 19*w + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 14*s**2 + 7*s**2 - 20*s**2 + 5*s. Determine i(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 + 38)\/(427\/28 + -14).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 10*k**2 + 12*k - 21. Give f(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2, -1\/9, 1, 15, 53 in increasing order.\nAnswer: -2\/5, -1\/9, 1, 2, 15, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -16. Let j = -4.999833 - h. Round j to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-188)\/(-60) + -3)\/(-1). Let l be 2\/6*(-1)\/1. Which is the second biggest value? (a) -0.2 (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:46 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -95*g**3 + 3*g**2 + 3*g + 2. Is v(-2) a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w - 9. Calculate the remainder when 76 is divided by z(-18).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1588*n**2 + 14 - 783*n**2 - 805*n**2 + 59*n**3.\nAnswer: 59*n**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 + 3*v**2 + 4*v + 6. Let r(k) = 2*k**3 + 4*k**2 + 5*k + 7. Determine 7*j(w) - 6*r(w).\nAnswer: 2*w**3 - 3*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4544174 is divided by 1514706?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4587010 is divided by 90.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1\/10, 2\/51, -4, 1?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 3*v - 4. Suppose 12 = -3*o + 6. Let d be w(o). Let j = d - -13. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 519026 + 519077 = -9*s, 2*s = f - 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2))**(-1\/99)\/(k\/(k**(1\/4)\/k*k))**(-39)*(k\/(k\/(k**(-7)*k*k)*k)*k**(-2\/7))\/(k**(-1\/2)*k\/(k*(k\/k**(5\/4))\/k)) assuming k is positive.\nAnswer: k**(15391\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43543 + 17989 - 82311 = 2397*l for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, 796, 3267, 7108, 12319?\nAnswer: 18900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**3 + 1121172*n**2\/7 + 67641296*n\/7 + 19234560\/7 = 0.\nAnswer: -60, -2\/7, 80144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -55\/4*k**4 + 0*k**3 + 0*k - 12 + 61\/2*k**2. What is the second derivative of p(j) wrt j?\nAnswer: -330*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3228, 4\/101, -5 in decreasing order.\nAnswer: 3228, 4\/101, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8277 and 1395.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 345 = 19*j. Put -5, -3, j, 1 in descending order.\nAnswer: j, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.27 in 0.3, 1.8, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from looklwrc. What is prob of sequence cor?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0741 + -374.0741. Let p = 377 + y. Which is smaller: p or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1337? (a) -15 (b) 5 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 29\/(29\/2)*11\/((-88)\/(-80))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*h - 2496 = 3*h. What is the biggest value in h, -1\/5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r - 18. Determine v(-5).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 20*k**2 - 63*k + 48. What is the units digit of g(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 440.825 + 0.175. Let k = -441.0442 + m. Round k to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 29*h**2 + 2*h + 1. Let r be n(-1). Suppose -2*q = 8 - r. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 1. Let g = b - -7. Find the second derivative of 9*d**5 - 8*d**5 + 2*d + g*d - 4*d wrt d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*q + 11*q**3 - q**2 + 32*q + 11*q**3 - 21*q**3 in the form n + f*q + b*q**2 + i*q**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1468?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 8*v**2 - 7*v - 5. Let s = 15 - 3. Suppose -2*q + a + 7 + 2 = 0, -4*a + s = 0. Let l be q\/14 - 52\/7. Give d(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 10*k - 12*k. Find the third derivative of -k*r**2 - 4*r**2 - 3*r**2 - 11*r**5 wrt r.\nAnswer: -660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58652 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - (-7 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331 - 145 = -23*y - 5*y for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*((-2*n - 2*n + 5*n)*(0 + 0 - 2) + n - 2*n - 2*n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/9 and (-46)\/(-3) + 12\/18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n + 5. Let t be ((-7875)\/81)\/(-25) - 10\/(-9). Let z(s) = -13*s - 10. Give t*p(i) + 2*z(i).\nAnswer: 4*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.01 - -0.01. Let v = 5.16 + g. Let i = 3.16 - v. What is the nearest to 1 in i, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9754.\nAnswer: 2, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47235 is divided by 569.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*l**2 + 62*l**2 - 3 - 2*l - 30*l**2 to the form w*l + s + i*l**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*y = -3 - 9, 9 = 4*k - 3*y. Let v(p) = p**3 + 7*p**2 + 6*p + 7. Let i be v(-6). Let f be (-32)\/(-14) - 2\/i. What is the closest to 0 in k, 3, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(36\/(-4)))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11 + (12\/(-3))\/4. Let u = t - -14. Suppose u - 174 = -5*l. What is the highest common factor of l and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16287336 divided by -39?\nAnswer: -417624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 12*f**2 - f + 19*f + 2*f + f**3 + 6. Let h be m(10). Is (-3 - 731\/h)\/((-2)\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + 14 + -5 + 2 - 4) + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 980, -3, -7.4?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 13*q**2 + 14*q - 23. Calculate r(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 485914 divided by 11\nAnswer: 44174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 0 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**6\/2 + 7*p**4\/12 + 391*p**2\/2 - 7*p + 1. What is the first derivative of c(q) wrt q?\nAnswer: -60*q**3 + 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 0 + 0 + (-2*b - 4*b + 5*b)*(1 + 0 + 3))*(-32 + 16 - 32 - 14).\nAnswer: 434*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3041 and 154.\nAnswer: 3195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**5 - 5*q**4\/2 - 5*q**3\/3 - 21. Factor s(x).\nAnswer: -5*x**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/27)\/(60\/405)*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 308, 589, 876, 1169, 1468, 1773, 2084?\n\"Answer: 3*k**2 + 272*k + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.2, -18\/5, -2 in increasing order.\nAnswer: -4, -18\/5, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000122102357 to seven dps.\nAnswer: 0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7329)\/40484*(-48)\/42?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 41.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/3 (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/714175 and 21\/9805.\nAnswer: 26424475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 3, v: 4, u: 1, g: 4}. Give prob of picking 1 u and 1 g.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*o**2 - o**3 + 20*o**2 - 64*o**2 + 20*o**2.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -5 (c) 0.1 (d) -4\/719\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 9 - 0. Suppose 2*h = h + a. Calculate the remainder when 12 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 4. Let m = -29 - c. Let r = -18 - m. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3\/5 - 3612*q**2\/5 + 2174424*q\/5 - 436334416\/5 = 0.\nAnswer: 602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1997, 3, 0, -63 in ascending order.\nAnswer: -1997, -63, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + -73. Let g = m - -95.9999918. What is g rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 + -3 - 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*b - 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + sqrt(70) + sqrt(70) + sqrt(70) + -1*sqrt(70)*-2 + sqrt(70) - -3*(sqrt(70) + -1*sqrt(70)))\/(sqrt(90)*-2 + sqrt(160)*1).\nAnswer: -7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.2 - 3.07. Which is smaller: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 n when three letters picked without replacement from {k: 1, n: 2, s: 1, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 947 + -953 - (-16 - (-4 - (2 - 4))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2*(-6)\/(-9). Suppose -3 - 12 = -3*n. Suppose -5*t = n*r + 15, -r - 5*t - w + 2 = 0. Which is the nearest to -1? (a) r (b) -1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*d - 36*d + 33*d to b*d + n and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 66819987 = 26*o + 95*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7283144 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34395239 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l**3 + 16*l**2 - 2880*l - 8. Calculate u(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2194 + -1545. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21669652 a multiple of 1263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.58373ug to milligrams.\nAnswer: 0.00458373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1554 or -1555?\nAnswer: -1554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 3:42 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/7, 5\/4, -0.04?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_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: What is the tens digit of 301949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 2808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012087818 rounded to five dps?\nAnswer: 0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-128)\/96*30\/52. Let p(y) = y - 12. Let j be (-126)\/(-10) + 21\/(-35). Let s be p(j). Which is smaller: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/24 and 4\/111.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4794, 4790, 4784, 4776, 4766, 4754?\nAnswer: 4740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1 = 5. Suppose a - 8 = -3*a + l*m, -3*m + 6 = 3*a. Let w = -1 + 2. Calculate the greatest common divisor of w and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 3.4.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-28) - (-85)\/35. Factor -o**l + 4 + 4 - 133*o + 131*o.\nAnswer: -(o - 2)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1287074*c + 1287074*c + 23*c**2 - 28*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 1222155?\nAnswer: -1222151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -11*k - 5*z, 7*k + 5*z = 5*z - 5*z + 29 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108 - (-74 - -176) - (14 - (-3 + 2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 2*s**2 - 2*s - 4. Let o be p(-2). Suppose 1 = 4*y + t, o = -5*y + 3*t - 5 + 2. Which is the nearest to -1\/2? (a) 0.7 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22048 + 22048. Which is the closest to -7? (a) -0.2 (b) p (c) 0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99206 rounded to the nearest 1000?\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + z - 6*z + (-2 + 1 + 0)*(-8*z + z + z) + 0*z + z + 2*z to s*z + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1111, -1107, -1103, -1099, -1095, -1091?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 22922 + 153744 = 0. What are the prime factors of u?\nAnswer: 2, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 287.4931 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 1. Let z(a) = -5*a**2 + 4. Suppose -7*n = -9*n - 234. Let d = n + 113. Let f(p) = d*g(p) + z(p). Let s(v) = -27*v**2. Calculate f(s(j)).\nAnswer: -729*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30, -127, -288, -513, -802?\n\"Answer: -32*v**2 - v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351970 = 6108*j - 179128 + 72998 for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/75460 and -17\/2310.\nAnswer: 226380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -13) + 156\/(-12). Suppose 5*o - 28 = -h, 2*o = -3*h + 6 + 13. Sort h, 0, s, -6.\nAnswer: -6, s, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 24 = -5*h, -2*h - 3*h = -x - 19. Sort -5, x, -2.\nAnswer: -5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 51 + 3*j**2 - j + 50 + 2*j**2. Determine v(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 7648 = -7687 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -35.1. Let g(y) = y. Let r be g(3). Which is the nearest to t? (a) r (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a**3 - 5*a - 8. Let i(v) = -7*v**3 - v**2 - 6*v - 10. Calculate -4*c(k) + 3*i(k).\nAnswer: 7*k**3 - 3*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*r - 3. Factor j**3 - 14*j**2 - j**3 + 4*j + 5*j**3 + 5*j**r.\nAnswer: 2*j*(j - 1)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -963, -964, -965, -966, -967, -968?\nAnswer: -969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((580\/377)\/(-10))\/(4\/2)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 5*n + 2*j - 11, 0 = 2*n - 2*j - 10. Let s = 1 + n. Suppose -s*p + 31 = -3*p + 5*v, -5*p - 5*v + 75 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 14*j - 48. Let s be z(-17). Solve f + 4*h + s + 0 = 0, 2*f = -5*h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1055, -10, -4 in decreasing order.\nAnswer: -4, -10, -1055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*z + 161 + 88 + 261 = 0. Solve -19*l + 18*l = -5*x + z, -5*l - 4 = -2*x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 3*n - 492. Let v be a(44). Which is smaller: 1311 or v?\nAnswer: 1311","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 107. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*b = -27*b - 242. Solve 3 = -16*v + 17*v + 3*h, -4*v = -h + b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -7*u**4\/3 + 52*u**3\/9 - 35*u**2\/9 + 4*u\/9 = 0.\nAnswer: 0, 1\/7, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*c**3 - 141 - 71*c**3 + 21*c**3 + 21*c**3 to s*c + b*c**2 + w*c**3 + a and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14328826 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**4\/4 + 13*v**3\/3 + 8*v**2 + 7*v + 26. What are the prime factors of x(-6)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 112, 105?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 6) to base 13\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -5, -2, 1.\nAnswer: -5, -2, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -24*i**3 + 719*i**2 - 1841*i - 486. Let p(u) = 70*u**3 - 2156*u**2 + 5522*u + 1444. Let v(f) = 8*a(f) + 3*p(f). Factor v(l).\nAnswer: 2*(l - 37)*(l - 3)*(9*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.29 - -7.27. Let r = 2.72 - z. Let s = r + -0.16. Sort 0.4, 1\/2, s in decreasing order.\nAnswer: 1\/2, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1122354394?\nAnswer: 2, 7, 53, 1512607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*(sqrt(17) - (sqrt(17) + 1))*-3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -195 + 318. Let r = n - 76. Let v = r + -17. Calculate the remainder when 209 is divided by v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2599*o**2 - 8*o + 2161*o**2 + 13*o - 6*o in the form b*o**2 + g + w*o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16042 - 16041.91677. Let b = 0.084 - m. What is b rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from qddeii?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*z**4 + 4*z**3 + 3896*z**2 + 605123*z wrt z?\nAnswer: 120*z**2 + 24*z + 7792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2285638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*m + 25, -6*m - 4*w + 16 = -4*m. Let i = m - 0. What is the greatest common divisor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdbbdabddaj. What is prob of sequence bb?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88\/95 + -12966\/665. Is z at most -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n + 1. Let c be o(-1). Suppose -2*s + 10 = 3*s. Let j = c + s. Which is greater: 2\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 + 30. Let c = t - -34.9924. What is c rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7734 and 763094445.\nAnswer: 3867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -40978, -81961, -122944, -163927, -204910?\n\"Answer: -40983*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from {q: 2, f: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -89\/5? (a) -0.5 (b) 0.07 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2 - 22372*r - 44752 = 0. Calculate r.\nAnswer: -2, 11188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8522?\nAnswer: 2, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1))**(-2\/9)\/((v\/(v*v**(3\/2)))\/v*v*v*v**(-2\/7))*((v\/v**(-4))**(-2\/7))**(1\/3) assuming v is positive.\nAnswer: v**(13\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -155\/24479?\nAnswer: -155\/24479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -445, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (6 - (5 + (3 - -4)) - 0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 5*l - 2*l + (-1 - 1 + 3)*(4*l + 2*l - 5*l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**4 + 2137*j**2 + 10*j - 682858?\nAnswer: -8*j**3 + 4274*j + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27 + 0.07. Put p, -1\/6, 9 in decreasing order.\nAnswer: 9, -1\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151981 divided by -151981.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/6 (b) 0.19 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - a + 7, 5*s + 4*a + 3 = 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 0 + sqrt(72) + -1 + 1 + -5)*4)**2.\nAnswer: -384*sqrt(2) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10142 (base 5) to base 9.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**7\/210 - n**5\/60 - n**2\/2 + 3. Let f(s) be the second derivative of r(s). Find the third derivative of f(m) wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.84, 0.4, -0.5, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(6*(sqrt(6) + sqrt(6)*-2)) + -2 - -2*sqrt(136)\/sqrt(392)*-5)**2.\nAnswer: 134*sqrt(17)\/21 + 83369\/1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 81 = -5*j, 4*j + 2*a + 3 = 69. Let s(f) = -f**2 - 3*f + 2. Let u be s(-3). Suppose t = u*t - 87. Calculate the remainder when t is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 + 2612*r\/5 + 1705636\/5.\nAnswer: (r + 1306)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 70*r**3 + 68*r**3 - 8 as y*r + u*r**2 + t*r**3 + l and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -22. Suppose t*y - y = 35. What is the third biggest value in -2\/3, 3\/8, 0.5, y?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*l - 12420 = -492*l + 13042 for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 0.3 (b) 1 (c) -168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**4*k + i**3*k + 370*i**3*p - i**2*k*p - 4*i**2*k + 3*i*k*p - 6*i*k wrt i?\nAnswer: -48*i*k + 6*k + 2220*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-99)\/147 - 6\/(-21)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 + 0.3. Let j = -8.6 - o. Let r = j - -7.4. What is the nearest to r in 4, -2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9282801 rounded to 1 decimal place?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + h**2 - 3*h**2)*(-61*h**2 - 36*h**2 + 67*h**2)*(-4 + 1 + 6).\nAnswer: 180*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 123*y + 4. Let a(v) = -61*v - 2. What is -5*a(t) - 2*n(t)?\nAnswer: 59*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 5*v + 14, 51 = 4*q - 4*v + 59. Solve -8 = -2*r + q*w, -5*r + 3 = -4*w + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -20553631\nAnswer: 2055363.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*(sqrt(76) + sqrt(76) + 1*sqrt(76) + sqrt(76))*-4)\/((sqrt(100) - -1*sqrt(100)*-3)*6).\nAnswer: -24*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x + x**2 - 4*x + (198 + 158 - 40)*(3*x**2 + 3*x**2 - 3*x**2)*(0 - 3 + 6).\nAnswer: 2845*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6617404.\nAnswer: 2, 1654351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**4\/12 - n**3\/15 - 23*n. Suppose c(l) = 0. Calculate l.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6122*a**4 + 16*a**2 - a + 6?\nAnswer: 146928*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -10*i**2 - 11*i + 3 - 8*i**2 - 2*i**2 + 1 + 19*i**2. Give b(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 301? (a) -3.99 (b) 2 (c) 0 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -43919 (b) -10 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-20)\/((-52)\/(-13)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -16, 21?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, 0.18, 0, -0.1?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 99 = -d. Let y be (1 + -2)\/(2\/(-12)). Suppose 5*k - d = -y. Does 23 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 35 = -5*t, -4*t - 12 = 3*y - 26. Put -4, 5, 37, y in descending order.\nAnswer: 37, 5, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - k - 1. Let z = -5 - -3. Let n(r) = -r**3 - r**2 + r + 1. Let p(b) = z*s(b) - 2*n(b). Find the third derivative of p(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 670 divide 117072104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.571? (a) 12 (b) 0 (c) 0.1184 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 1\/95946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -58bb - -15?\nAnswer: -58a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/7 (b) 0.29 (c) -1.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11410 + 31549. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308055 greater than 1308052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 2*z - 32 = 3*n, -4*n + 32 = 72 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 12983.\nAnswer: 1038.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101 - -2330?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/(-11*228\/4389).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 14331758195 and 0.2.\nAnswer: 14331758195.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/39 - 449\/195. Do -2 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169 a factor of 89451880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 1\/5*n**2 - 101 + 1\/5*n - 1\/25*n**5 + 0*n**3 - 1\/10*n**4. Let z(u) = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3039204, -3039219, -3039246, -3039285, -3039336, -3039399, -3039474?\n\"Answer: -6*b**2 + 3*b - 3039201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from abuhx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w = -20. Let v = -15 - -20. Solve v*q = -w*d - 10, 4*q + 0*q + 1 = 3*d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 11:42 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from gghwkmghssgmmm?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**4\/4 - 95*n**3\/6 + 6*n**2 - 4*n. Let v = -263 - -386. Calculate the remainder when v is divided by k(-21).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -4*y - 107. Let p be 50\/y - 12\/21. Does 5 divide ((-42)\/(-4))\/(p\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 144\/85 + -22\/17. Let o = 211 + -198.3. Let p = o + -13. Sort p, k, -5 in increasing order.\nAnswer: -5, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1517.431 + -1571.43124. Let n = 54 + l. What is n rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1952\/1921 + 283598779\/23052. Let u = -12311 + n. Find the common denominator of 85\/52 and u.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 45.52. Let l = r - 1.479715. Round l to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**3 + 4*x**3 + 7*x**2 + 7*x - 4 - x**2. Let d be w(7). Let c be ((-16)\/6)\/d*6. Solve -s = -c*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-20)\/(-768)*42\/(-15)*1*6?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 11*o + 17. Let m be d(-2). Solve -4*t = 4*j + 32, t - 3*t - 19 = m*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 125905\/55 - (60\/(-33) - -2). Suppose 3*z - 3*x = 1377, -2*z - t = -7*z + 3*x. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25813816094+0.4\nAnswer: -25813816093.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-3\/2))**(-16)\/(f**(6\/11)*f*f*f**(6\/5)*f) assuming f is positive.\nAnswer: f**(-2461\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 at most -87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 4:06 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73 in -0.2, 1\/4, -9\/5, 2, 21?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36870 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 0 + 1\/6*g**3 + 0*g**2 - 3*g. Let h(t) = 2*t - 3*t - 7*t. Give h(s(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/300 and 121\/65503470?\nAnswer: 655034700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.3 rounded to one decimal place?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z = -14. Let o = 3 - 1. Let t = o - z. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532756569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12285 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 23*d**2 + 135*d + 1824. Determine k(-25).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/16, -28, 5, -55 in decreasing order.\nAnswer: 5, -3\/16, -28, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 2951?\nAnswer: 194766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -1.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30541 + -30484. Solve -n = 39*j + 21 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 29, 7, -5, 13, 0, -1 in ascending order.\nAnswer: -5, -1, 0, 1, 7, 13, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00264011 rounded to five dps?\nAnswer: -0.00264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -8\/9*v**3 - 1\/9*v**4 + 74\/9*v + 55\/9*v**2 - 40\/3 = 0?\nAnswer: -12, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 18 = 3*r, 0*r + r = -f + 1. Let i = -26 + 19. Let x = i - -15. Solve w + z = -4*w + x, r*w + 4*z - 16 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 630*d**2 + 577*d**2 - 132*d**2 - 160*d**2.\nAnswer: 915*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, 333, -4 in descending order.\nAnswer: 333, 2, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -162831*r**2 + 5*r + 2. Let w be q(-3). Let d = 1033492 + w. Round d to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 318*d - 39. Give t(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51513 + 51530 = 1042*j - 41795 for j.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in -1, 1, -0.4, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4) + 129\/(-86) - -17\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -o**2*q + 2970*o**2 - 2*o*q - 8*q wrt q?\nAnswer: -o**2 - 2*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 19 - 5 = -a, -5*x = -2*a - 32 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, m: 2, j: 1}. Give prob of picking 1 h, 1 m, and 1 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 2*a**7\/35 + 37*a**6\/40 + 69*a**5\/20 - 85*a**4\/8 - 25*a**3\/2 + 199*a**2. Factor p(l).\nAnswer: 3*(l - 1)*(l + 5)**2*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 8991 - 45\/(-13 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14775?\nAnswer: 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 49 and 7723993.\nAnswer: 7724042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-63)*(-16)\/(-224)*-3*4.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123*v**4 - 3*v**3 + 943*v**2 wrt v.\nAnswer: 2952*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 64570*y - 387318. Calculate j(6).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 213 + 3054?\nAnswer: 3300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 166653, 166650, 166645, 166638, 166629?\n\"Answer: -y**2 + 166654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 477*c**3*l**3*u + 35*c**3 - 2*c**2*u + l**2*u - 1 wrt l.\nAnswer: 1431*c**3*l**2*u + 2*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 2766*q - 2764*q + 11, 4*q + 3*k - 13 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5737629?\nAnswer: 3, 1912543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -40*t + 20. Let w be o(5). Let i = -177 - w. Solve 4*h = -0*h + i*x - 25, -5*x + 15 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -4, -3\/7, 10\/7, -7\/2 in descending order.\nAnswer: 10\/7, 1\/2, -3\/7, -7\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 361 = 4*o, -6335*m = o - 6336*m - 94 for o.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 13*b**3 - 108*b**2 - 32*b + 17. Let o(x) = -5*x**3 + 36*x**2 + 11*x - 6. Let j(m) = -17*o(m) - 6*v(m). Solve j(y) = 0 for y.\nAnswer: -5, -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377681829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/7 + (-8)\/(-28). Let x be ((-4)\/k)\/(2\/44). Let h = x - -32. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.34*0.9.\nAnswer: 0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*s + 10 = 0, -2*o - 7*s + 30 = -9*s. Solve 6*l = -1 - o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 225?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1.9. Let p = 2.36528 + -2.66528. Which is the second biggest value? (a) q (b) -1 (c) p (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 59*c + 6. Let n be j(2). Suppose -9*g = -29 - n. Suppose -g*y = -5*y - 48. Solve 3*h = 2*b + h, -y*b - 27 = 5*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeewwwewewewwwwewee. What is prob of picking 2 e and 1 w?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.23 + -1.63. What is the third smallest value in o, 9.5, -1\/4?\nAnswer: 9.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6017297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -0.08 (c) -16\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z - 4*z + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78714 is divided by 2915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**3 - b**2 + 19*b. Let g be q(0). Factor -1\/4*s + g - 1\/4*s**3 - 1\/2*s**2.\nAnswer: -s*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 9\/(-3) + 4. Let v be j\/(-3) + 5457\/(-36). Let h = v + 160. What is the common denominator of 25\/12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 708?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 1 + 4 - sqrt(832))**2 + (-3*(2*sqrt(130) + sqrt(130)) - sqrt(130) - sqrt(130))\/sqrt(10).\nAnswer: -11*sqrt(13) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 580.\nAnswer: -1\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 2*f. Let t(b) = -3*b + 3. Let g be t(-4). Suppose -11 + g = 2*x. What is p(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - (-34)\/(-10)) + (-23460)\/(-150). Calculate the greatest common divisor of a and 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-2\/23))\/f**(-1\/14))**28 assuming f is positive.\nAnswer: f**(1278\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-147) + 820\/154 - 6 - -1. Let s = 4.5 - 3. Let m = 2 - s. What is the smallest value in n, -3, -1, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27\/(-36))\/(3\/(-2938)). Let d = c - 690. What is the common denominator of -47\/24 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.19158 not equal to 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, -2, -54.\nAnswer: -54, -4, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3600 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 1433, 4891, 11635, 22763, 39373, 62563, 93431?\nAnswer: 133075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83008*j - 163568*j + 82531*j.\nAnswer: 1971*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -5*g, 4*w - 2*g - 1 = 11. Let b = 605 - 591. Suppose 5*l = 2*u + 5, 13*u - 2*l + 11 = b*u. Which is smaller: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 1 + 4 + 7 - 49*x**3 - 14 in the form k + m*x**3 + y*x + i*x**2 and give m.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8))**(2\/17)*(a**(-2\/7)*a)**27 assuming a is positive.\nAnswer: a**(2183\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 + 3*a**4 - 2*a**4 + (-4 - 2*a + 4)*(0*a**3 - a**3 + 0*a**3) + 1210*a**4 - 464234*a**2 + 464234*a**2 + 4*a**4 - 3*a**4 + 0*a**4.\nAnswer: 1214*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**4\/24 - y**3\/2 + 10*y**2. Let g be h(-6). Solve -3 - g = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -0*y + 828. Suppose 137*r = 17*r + 22*r + 63*r. Suppose -6*j = -r*j - y. What is the smallest common multiple of j and 2?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*i - 99*i - 22*i**2 as f*i**2 + n + t*i and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-2)\/1*(-18)\/(-84))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*f + 70. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.009, 199, -0.2, 7?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 - c)*(-1 + 2 - 2) - 4 + 4 + 5*c)*(5*c**2 + 20*c**2 - 2*c**2) + 18*c**3 + 6*c**3 + 4*c**3 to the form o*c + z + i*c**2 + v*c**3 and give v.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + t = 27, 4*r - 2*t - 30 = -0*t. Let k(x) = -x**3 - 5*x**2 - 5*x + 4. Let v be k(-4). Is r at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225387765?\nAnswer: 3, 5, 556513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 739595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 792*s - 18775 = 41*s for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -122*a - 39. Let y(k) = k**2 - 48*k + 151. Let q be y(44). Is p(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -15 + 4 + -7 - 4\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20+5975444\nAnswer: 5975464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, v: 7}. Give prob of sequence vev.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**2 - 5*u - 5. Let b(t) = -6*t**2 + 4*t + 4. Let f = -1126 + 1121. Let v = -12 + 8. What is f*b(i) + v*w(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.046? (a) -11 (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 816 - -460. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 2 + 6*u - 2*u. Let z(j) = -6 + 3 - j + 2. Suppose 0 = -30*b + 9*b + 168. Determine b*z(n) + 5*w(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -66679453 rounded to the nearest 1000000?\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**22\/(n**0*n))\/(n**(-8)*n*n**(-3\/10)\/n*n) assuming n is positive.\nAnswer: n**(283\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10879 and -19025104.\nAnswer: -19014225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k + w - 11 = 0, 0 = 5*w + 5. Suppose k*i - 5*i + 6 = 0. Suppose 0 = -i*b + b. Let c(j) = -j + 1. Calculate c(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 1 - (-2)\/(-5). Let p be -1*(-4)\/(-6)*-3. Let a be (2 - p) + (-1)\/(-3). What is the closest to a in c, -2\/5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-64)\/(-36) - 2\/(-9). Let a = 11 - b. Calculate the smallest common multiple of 7 and a.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11201311 (base 4) in base 3?\nAnswer: -1011001201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 35*w - 20. Give l(-36).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -6*c - 239, 15*o = 16*o + 3*c - 212. Solve -s = o - 218 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8*q**2 + 6*q - 4. Let a(n) = 9*n**2 - 7*n + 5. Let y(g) = -54*g - 482. Let c be y(-9). Calculate c*a(t) + 5*b(t).\nAnswer: -4*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -2\/9 (c) 0.4 (d) -1\/17 (e) -45 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 91 = -46 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -21. Let v = 142 + x. Let n = v + -150.99999843. Round n to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -355.87 - 97.13. What is the second smallest value in g, -2\/25, 5?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -300 - -294. What is the units digit of (620\/(-30) + y)*(-87)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12 - 15 - (-2 + (-38 - 0)). Let j = g - 16. Solve -4*l + 9 = -r, -2*r - 4*l = 3*r + j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -7*u + 181 + 41, a + u = 27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -20. Let v be 15\/25*(-2)\/y. Factor 1\/5*i**2 + 0 - v*i.\nAnswer: i*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 36*d + 38*d = 694, -d - 33 = -u. Solve -5*q = -4*t + u, -7*q - 15 = -2*q + t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 6. Let u be i(0). Let p be (3\/(-81))\/(2\/u). Let y be (-86)\/(-18) + (-12)\/(-54). Put -1, p, y in increasing order.\nAnswer: -1, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200714 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -426, -639?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)*f**(-6))**13*f**(-2\/7)*((f**(-2\/3)\/f)\/f)\/f*f*f*f**(-1)*f*(f*f\/f**(1\/3))\/f*f assuming f is positive.\nAnswer: f**(-1094\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 3*c - 5. Let r(x) = 5*x - 11. Let u(p) = p - 1. Let h(z) = r(z) - 4*u(z). Let q be h(3). List the prime factors of l(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351 - 308 = -9*x + 2*c, 4*c + 4 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -246249 - -53189633\/216. What is the common denominator of x and 109\/144?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*o + 1445. Suppose 5*l - 291 = o. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence woid when four letters picked without replacement from wiododdowoddddid.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 - h**2 + 2*h - 16. Calculate i(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2420 - 2420.1. Which is the nearest to h? (a) 3 (b) -4 (c) -110 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -0*g + 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-2))\/((-12)\/1760). Let t be 252\/l + (-9)\/15. Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/5525 and 109\/2409580?\nAnswer: 156622700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 11*c + 1. Let q be r(7). Let w = q - -48. Let s = 21 - 7. Calculate the highest common divisor of w and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106929383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + 63145?\nAnswer: 63132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36896*h**2 - 7520*h**3 - 36896*h**2 - 2*h**3 - 1 + 1 + (3 - 3 - h)*(-4*h**2 - h**2 + 4*h**2) to k*h**2 + s + b*h**3 + t*h and give b.\nAnswer: -7521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21007 and 3649216.\nAnswer: 25544512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((36\/8)\/(-9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 8\/7*x + 24\/7 - 2\/7*x**2 = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y**2 + 12*y**2 - 47*y**2.\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 37848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 567 and 7290?\nAnswer: 51030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 296, 439, 584?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2778326*q*z**2 + 12614*q - 3*z**5 - 15*z + 79 wrt z?\nAnswer: 5556652*q - 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36\/23 + 658\/391. Sort -5, 1.9, c in decreasing order.\nAnswer: 1.9, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 345 + -163. Suppose 9*w - 22*w + f = 0. What is the lowest common multiple of 84 and w?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000058703 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 31*h - 295. Calculate a(46).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5595, -5525, -5477, -5463, -5495, -5585, -5745, -5987?\n\"Answer: -2*r**3 + r**2 + 81*r - 5675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 1026 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*q - 3380, 57*m = 55*m - 5*q + 1373. Let h = 1222 - m. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63322229 to the nearest integer?\nAnswer: 7958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49497494?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5*r + 10 = 0, 30*c - 31*c - 2*r = -5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*a - 5*l + l, 2*l - 18 = -a. Let y(p) = -a + 3 - 220*p + 219*p. Determine y(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22240805*i**2*l + 6225*i*l + 1285*l + 1 wrt i.\nAnswer: 44481610*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -57, 206, 791, 1698, 2927?\n\"Answer: 161*o**2 - 220*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -56205*c**2 - 54900*c - 13490. Let y(q) = -18722*q**2 - 18300*q - 4497. Let n(w) = -3*o(w) + 10*y(w). Factor n(j).\nAnswer: -5*(61*j + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2\/9, -1.6, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 140749409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*4 + sqrt(5) + sqrt(5))**2 - 2*(sqrt(5) + 3).\nAnswer: -2*sqrt(5) + 494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w + 12 = 0. Let q = -1 + 3. What is the remainder when 1 is divided by (-2*q\/w)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 94 + (-219 - -65)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -4*m + 5*x, -m + 117 = 2*m + 3*x. Is m less than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 49512*g - 49552*g + (-2 - 1 + 1)*(2*g - g - 2*g) + (-2*g + 6*g - 3*g)*(2 + 0 + 1) to v + j*g and give j.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**3 - 23*m**2 - 17*m + 13. Let w(q) = 3*q**3 + 22*q**2 + 17*q - 12. Let i(s) = -4*j(s) - 5*w(s). What is the tens digit of i(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 2*s - 9. Let k(z) = 2*z - 7. Let p be k(5). Let b = 5 + p. What is the remainder when d(4) is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a (base 16) to base 14.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2ac64 (base 16) to base 5\nAnswer: -21101304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 6 - (-234)\/13. Let f(l) = 18*l**2 - 26*l + 12*l + k*l + 8 - l**2. Let r(b) = -11*b**2 - 5. Let u be (-2)\/3 + (-52)\/(-6). What is u*r(n) + 5*f(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178566 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 70092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 22. Let u = -7 - l. Suppose 3 = 2*y - u. Solve 4*q - 10 = 5*k + q, -y*q - 30 = 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a factor of 5140830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -192, -175, -132, -51, 80, 273, 540, 893?\n\"Answer: 2*z**3 + z**2 - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 27*t. Let l(s) = -s - 18. Determine n(l(y)).\nAnswer: -27*y - 486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(216) - 2*sqrt(216)) + sqrt(96)*1))\/(6*3*sqrt(128)\/sqrt(4)).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 2*m. Let z(o) = 2*o - 4. Let h be z(5). Suppose -h = -p + 3*p. Calculate the remainder when f(p) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f + f = -48. Suppose 5*z - 31340 = -f*s - 5053, -5260 = -z - 3*s. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s - 3*t - 435, 3*s = -4*t + 661. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - 86*c - 11. Is 43 a factor of y(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67311218 a multiple of 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u - u + 0*u)*(-2*u + 168 - 168) to the form k*u + s + y*u**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -449.5829 + 460.582752. Let t = 0.2 + -11.2. Let i = t + x. Round i to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2340000 to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - 5 + 5)*(-2 - 3 - 5 + (-3 + 4 + 1 + 2 + 4 - 4 + (2 + 0 + 0)*(5 - 4 - 3) - 2 + 5 + 4)*(0 - 6 + 3)).\nAnswer: -93*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**8\/5880 + f**7\/1470 + f**6\/1260 + 4*f**3\/3 + 2. Let w(k) be the third derivative of z(k). Factor w(j).\nAnswer: 2*j**2*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*h = 4, -5*n + 1 = 3*h + 7. Let q = 881.4 + -881. What is the smallest value in q, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 3*i + 5*m, 5*m + 5 = 139*i - 138*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 0.6, -5, 0.039, 8?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllll. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -b - 6, -2*c - 2 = 2*b + 2. Let u be (5 - 1)*(4 + c + 0). Solve -4*o - u = 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88\/53, -3\/2, 2 in decreasing order.\nAnswer: 2, -3\/2, -88\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*b = 7, -b + 2*b - 27 = -4*h. Let w(x) be the second derivative of x**5\/20 - 3*x**4\/4 + 4*x**3\/3 + x**2 - 31*x. Calculate w(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**6\/60 + b**5\/15 - b**4\/12 - b**3\/6 - 2*b**2. Suppose 6*n = 2*n + 8. Give p(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8679 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1791211 is divided by 2066.\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12957 + -15755.94. Let s = 3046.077 + r. Let w = 247 - s. What is w rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/9*n**4 + 0 - 7\/9*n**2 - 2\/9*n**3 + 2\/9*n.\nAnswer: n*(n - 1)*(n + 1)*(7*n - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a + 12 = 21*a. Let x = -9 + 12. What is the fourth biggest value in x, a, 0.1, -0.08?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -627149, -627151, -627153?\nAnswer: -627155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 0*t**2 + 3*t**2 - t**2 + 1 - 3*t**2. Calculate q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.786 - 0.046. Let y = -0.44 + m. Let w = 3 + -1. Which is the closest to w? (a) 4 (b) -2\/9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -831174 + 831174 - 2*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**8\/5040 - u**5\/60 + 5*u**4\/6 - 54*u**2. Let m(h) be the third derivative of a(h). Let w(n) = 24*n. Determine w(m(f)).\nAnswer: -96*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 4*y**2 - y - 1. Let l(c) = -2*c**3 - 4*c**2 - 8*c - 9. Let m(v) = -l(v) - z(v). Suppose 2*x + i + 27 = 9, 2*i = x - 1. Give m(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27425\/174 + -473\/3. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 0) + (-1 - -2). Let b be (-12)\/y + -3*(-4)\/(-42). Let v(x) = -x**3 - 4*x**2 - 3*x. Give v(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(((m*m**(-13)\/m)\/m)\/m)*m*m)\/((m**(-6)*m)\/m)*(m*m*m\/(m*m**(-4\/5)*m)*m)**(-2) assuming m is positive.\nAnswer: m**(97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2245\/7 + -321. Let l = -9 - -7. Let i = -5 - l. Which is the closest to 0.1? (a) q (b) i (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.46 + -0.06. Let u be -7 + -3 + 5 + -6. Which is the biggest value? (a) r (b) u (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojeeoebbory. What is prob of sequence eb?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * -0.04.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131011\/2218502 - -3\/7757. Let j = 10657\/1144 + b. Let w = 695\/3 - 224. Calculate the common denominator of w and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 3 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*x + 76 = 2*j, 2*j - 2*x = 40. Let q be 19\/35 - j\/40. Is q >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 z when four letters picked without replacement from {g: 2, s: 1, u: 2, f: 1, z: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 394978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1\/h*h*h\/h**(-2\/21))\/(h\/(h*(h\/h**3)\/h*h)*h\/(h\/h**(-3\/8)*h)))\/(h**(3\/2)*h**(2\/13)*(h*(h*h**0*h)\/h*h)**(2\/9)) assuming h is positive.\nAnswer: h**(-619\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -293.3094 rounded to 1 decimal place?\nAnswer: -293.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32452 and 21280.\nAnswer: 1298080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6.7. Let p = u - 0.1. What is p rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2785.4 - -3066.73. Round s to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e2 (base 15) in base 13?\nAnswer: -3bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9811 + -9801. Let v(f) = -2*f**3 - 3*f**2 - f + 1. Let s be v(-2). Solve s = -d + o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34144\/63 + 542. Is t bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37, -172, -327, -502?\n\"Answer: -10*a**2 - 105*a + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9425957367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 164, -2, 2 in decreasing order.\nAnswer: 164, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/22*(-5432)\/(-35). Let w = n - -106. What is the second biggest value in 0.2, 3, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1895066416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**2 - 14*m - 12. Let y(s) = -4*s**2 + 14*s + 11. Let r be 45*11\/275*10\/3. Let f(z) = r*y(z) + 5*p(z). What is f(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -3077*n**4\/4 - 6067*n**2\/2 + 41*n + 3. Differentiate k(h) wrt h.\nAnswer: -18462*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(4\/(-1) + 4)\/(-2). Solve 5*m = z + 21, 2*m = -2*z - q*m + 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 109*l**4\/24 - 741*l**2. Let g(c) be the first derivative of -c**3\/3 - 9. Determine p(g(m)).\nAnswer: -109*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57978 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/3 - (-45)\/3. Let k(c) = -6*c**3 - 6 + m*c**2 + c**3 + 4*c**3 - 9*c. Let j be k(11). Solve 0 = 5*n - n + j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -22010*c - 154055. Calculate g(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 5*u**2 + 8*u - 15. Let r(c) = 11*c - 1. Let h be r(3). Let q = h + -18. Calculate the remainder when n(3) is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 3*f + 8. What is d(7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 4:33 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178, 1, 4 in increasing order.\nAnswer: 1, 4, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-43)\/(-2))\/((-14)\/(-28)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 562049850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34.1 + -39.1. Let j = -1.3 + 0.3. What is the third smallest value in 2\/13, j, b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*f + 1 - 13, -5*w = 0. Let t be 6*(f + -2) + -2496. What is t rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 24*s - 1 = 20*s, -3*l - s = -4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*b + 2*b - 15*b)*(-3*b**2 + 0*b**2 + 0*b**2 + (-b + 5 - 5)*(2 - 2 - 2*b)).\nAnswer: 26*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -22*n**5 - 696*n**4 + 9226*n**3 + 2132*n**2 - 26088*n - 18320 = 0.\nAnswer: -458\/11, -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-3)\/12)\/27.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631032031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 252*j**4 + 370*j**2. Let a(f) = -f**4 - 3*f**2. Let x(k) = a(k) - g(k). What is the third derivative of x(d) wrt d?\nAnswer: -6072*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3516 (b) -1\/3 (c) 3\/4 (d) 0 (e) -5\/3 (f) -0.1 (g) -38\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000101 (base 2) to base 5.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3)*((-5)\/10 - -9)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 11*p**2 - 15*p - 8. Let z be t(-12). Suppose -z + 0 = -f. What is the highest common factor of 16 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 116663856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47518.3 + -54326. Round q to the nearest 10.\nAnswer: -6810","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phjp when four letters picked without replacement from pjhhphpj?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3921)\/(-231) + 376\/14476\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4 = -2*b, -39*l + 34*l - 8 = -2*b. Let g = 5 + -6. Let q(n) = n + 3. Let p(o) = o - 1. Determine g*q(s) + l*p(s).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/7 - 40*h**2\/7 - 250*h\/7 - 500\/7.\nAnswer: -2*(h + 5)**2*(h + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 11:04 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28442, 28451, 28460, 28469?\nAnswer: 28478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 e, and 1 b when four letters picked without replacement from {h: 6, b: 2, t: 1, e: 3, q: 2, n: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 59*j**5\/15 - j**4\/8 + 5869*j**2. Let n(y) = 10*y**2. What is i(n(q))?\nAnswer: 23600*q**4 - 30*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 103914466?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(3 - 10\/4) + (-30)\/345?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12315582 or 12315566?\nAnswer: 12315566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*m**3 - 5472*m**2 - 513550*m + 73476 = 0. Calculate m.\nAnswer: -234, -157, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j = -13*j - 21 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 12 - 15. Let l(j) = 2*j - 11. What is the units digit of l(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 4039420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -549*1*4\/(-12). Suppose 0 = -5*d + 42 + w. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x. Let c be 70\/(-20)*(-8)\/14. Let j(b) be the third derivative of 0 - c*b**2 - 1\/30*b**5 + 0*b**4 + 0*b**3 + 0*b. Calculate y(j(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14079 + 14106. Solve 3*k + 15 = -32*m + s*m, -5*m = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.33 - -5.33. Let l = 4.8 - k. Let n(h) = h**3 - 3*h**2 - h + 2. Let d be n(3). Which is the second biggest value? (a) l (b) 2\/11 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 48*j**2 + 2*j. Let f(u) = -31*u. Determine k(f(s)).\nAnswer: 46128*s**2 - 62*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 9\/(-3) - 1. Suppose -2*p + 0*p - 8 = 0, -f - c = p. Find the first derivative of -f*a - 2 - 3 + 8*a + 1 wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -17.7. Let y = 0.2 + -2.2. Put y, 0.2, f in descending order.\nAnswer: 0.2, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*f + 80. Suppose -2*z = -z - f. Suppose 2*o - z = 4*h, -5*o = 4*h - 104 + 4. What is the greatest common divisor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1213?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 12:05 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 77832 to the power of 1\/2, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1118*a + 12322 - 11661 = -27289 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 165203 divided by 5\nAnswer: 165203\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14198366?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -107879*u - 1852. Let g(a) = -467*a - 8. What is 926*g(s) - 4*q(s)?\nAnswer: -926*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + (sqrt(891) + -4 + sqrt(891)*-2)**2 + -2.\nAnswer: 72*sqrt(11) + 905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*-37 + (-81)\/(-54) + 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33523559029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 3 + (-91 + 86 - (-50 + 3))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7209 and 19224?\nAnswer: 57672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*u**2 + 116*u + 152.\nAnswer: 4*(u + 2)*(5*u + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128 and 44?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -23, -5, 32391, 12 in increasing order.\nAnswer: -23, -5, -1, 12, 32391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/17)*f)\/f**3)\/(f**(-1)\/f)**(-19) assuming f is positive.\nAnswer: f**(-661\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 5*l**4\/24 - 2*l**3\/3 - 7*l**2. What is the first derivative of b(a) wrt a?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**2 - 4. Let m(y) = -10*y + 78. Let l be m(7). Let p be (l\/(-20))\/(4\/(-50)). Let j(u) = 5*u**2 - 5. Calculate p*x(o) - 4*j(o).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 1. Let z be j(4). Sort 4, 0, 3, z in increasing order.\nAnswer: 0, 3, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2904 and 1060.\nAnswer: 769560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9142576 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 60. Solve -u*s**4 + s**5 + 130*s - s**5 - 70*s + 20*s**2 - 5*s**5 - 45*s**3 = 0 for s.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1196 and 595907?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -257, -2\/3, 2 in decreasing order.\nAnswer: 2, 0, -2\/3, -1, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006803 to 5 dps.\nAnswer: -0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2574293737 to the nearest integer?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/12)\/(3332\/357)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-176)\/4)\/(-2*4\/208).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -3*b - 1\/6*b**3 - 6*b**2 + 20. Let y(k) be the first derivative of a(k). Calculate y(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 3:38 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 64133.98 decades?\nAnswer: 7696077.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**4 - 352*d**3 + 2292*d**2 + 3328*d - 5264 = 0. What is d?\nAnswer: -94, -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.18 + 7.02. What is g rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3241.\nAnswer: 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*g = -278*g - 1750 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/416 and (11 - -105)*(-1 + 371\/368)?\nAnswer: 9568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1159 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = 4*f - 574. Let y be 2 + (f\/2)\/(7\/(-84)). Suppose c - 3*c - 4*q + y = 0, -q = c - 249. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2835) - 1*sqrt(2835)*3)\/(-1*sqrt(605) + sqrt(80)*2))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/681 and (23\/5675)\/(72\/180 - (1 - 1))?\nAnswer: 6810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-248)\/1612)\/((-2)\/(-2))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1304, 2228, 3152, 4076, 5000, 5924?\nAnswer: 6848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**3 + 10*k**2 + k + 7. Suppose -a - a = 14. Let l be y(a). Let n = -382 - l. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 6*a**2 + 6*a + 8. Let z be y(-5). Suppose -z*h + 2160 + 366 = 0. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(27\/12 + -3). What is the closest to -2 in r, 1, 1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6009.992974 - 6010. What is u rounded to 4 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 4*n + 36, 2*n + 16 = -2*n. Calculate the remainder when 51 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 285 = 2*j. Suppose t + 13 = j. Calculate the remainder when t is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (10 - (1 + -4 - -10)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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 greatest common factor of 58 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*i = 343*i + 3021. Suppose -7350 = -1017*d + i*d. What are the prime factors of d?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8691 - 8687. What is the nearest to 0.1 in i, 0.5, -21\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -755*j**2 - 1497900*j + 39680.\nAnswer: -5*(j + 1984)*(151*j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 0.3 (c) 64\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9527\/4 - 2380. Let p(q) be the first derivative of -3 + 1\/2*q - 29\/12*q**3 + r*q**4 - 1\/8*q**2. Factor p(g).\nAnswer: (g - 1)*(4*g + 1)*(7*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -39.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -198*a**2 + 1\/40*a**6 - 3\/8*a**4 + 0*a + 0*a**5 + 0 + 37\/3*a**3. Differentiate k(h) with respect to h.\nAnswer: 9*h**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 14918 = 3*o, 3*o = 19*s - 15*s - 11935. Is s a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3715488 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Suppose 0 = f - 5*f - 2*d + 10, -h*d = 5*f - 10. Suppose f = -t + 3 - 1. Solve t = -p - 0*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6338437?\nAnswer: 7, 905491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**6\/240 - s**5\/40 - s**4\/16 - s**3\/12 - 3*s**2\/2 - 4*s. Let k(x) be the first derivative of b(x). Factor k(t).\nAnswer: -(t + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2\/13, 0.007, 0, 0.4 in decreasing order.\nAnswer: 0.4, 2\/13, 0.007, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.5\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10519\/7 - -1503. Which is the smallest value? (a) 0.8 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33.3 and -0.4?\nAnswer: 13.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.537 + -26.037. What is the closest to -1 in 14\/5, -88, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*d - 112, 0*d = m - 3*d + 28. What are the prime factors of (-202)\/(-10) - m\/35?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194860 = -4*t + 2*n, -58*t + 55*t + 4*n = -146130. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1133113212 (base 4) in base 16?\nAnswer: -5f5e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/7383?\nAnswer: 1\/7383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 4*k - 16 = 0. Let g be 104\/28 - k\/(-14). Suppose r - 4*r + g*s + 7 = 0, 2*r = -2*s + 28. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -3 + sqrt(2))**2*-4 - sqrt(2) - (4*sqrt(14))\/sqrt(7)) + (-2 + -2 + (sqrt(2) - -2*sqrt(2)) + sqrt(2) + 0)**2.\nAnswer: -20 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 56939269 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -31. Suppose -4*k = -l*t - 152, 0*k - 34 = -k - t. Is 26 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39672863267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -597075933 - -2.\nAnswer: -597075931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-9)\/(-3)) + -1 - -83. Find the common denominator of -93\/80 and (-245)\/49 + 414\/w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1592\/21, -1\/8, 0, -2\/7?\nAnswer: 1592\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 34. Suppose -t - l*t - 16 = -y, -12 = 3*t. Suppose -23 = -o - y. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, n: 6, u: 1}. What is prob of sequence an?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -43*i - 34. Suppose p - 32 = 5*a, 2*a - 2*p = -5 - 3. What is the hundreds digit of b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 8*k - 12. Let y be (-4)\/(-6)*(-6)\/8. Which is the second biggest value? (a) -2\/23 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*12\/70*-5*-7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -272 in -3, 3, -0.5, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + s + 2*s)*(329 - 146 + 620 + 369) to the form w + j*s and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -874 and -300967.\nAnswer: 263045158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3721 is divided by 88?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -24108 divided by -2?\nAnswer: 12054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x - 8\/7 - 12\/7*x**2.\nAnswer: -4*(x - 2)*(3*x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d. Let v(t) = 298727020*t. What is v(a(w))?\nAnswer: 1792362120*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 3 = 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -458343314.7188 from -16.\nAnswer: 458343298.7188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 1 - (-1796 - -1804).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 - 149312240*v - 447936765.\nAnswer: 5*(v - 29862451)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 126, 196, 270, 348, 430, 516?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 8. Is 18 + 4 + u + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -988 + 152. Suppose p = 4*t + 114. Let u = t - -32. Calculate the greatest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55252*s + 55330*s + 3510 for s.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 124.59455 and 0.2?\nAnswer: 24.91891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 671554 greater than or equal to 671549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*k = -28, -2*n + 0*n + 5*k = -17. What is the remainder when 42 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 5 + 2)*((3 - 3 + 2)*(-u + 1 - 1) - 3*u + u - u) to i*u + m and give i.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4305, 0, 483?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1327337246 to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -12*v + 51. Let p be g(4). Solve 0 = 5*y + 4*a - 17, 0*y + a - 6 = -p*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -191 or -194?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*o - 92*o - 20738 = -u, -62144 = -3*u + 5*o. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13 + -13)\/(0 + (3 - -1)). Solve o = -32*j + 31*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 2996*p - 11920.\nAnswer: -4*(p - 745)*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**7\/2520 + s**6\/720 + 11*s**5\/120 + s**4\/12 - 11*s. Let z(m) be the third derivative of o(m). Is z(0) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - -3 - 4 - 10 - (3 - (52 + -3))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**5\/60 + w**3\/2 + 1242*w**2. Let z(c) = -70*c**2. Determine t(z(y)).\nAnswer: 4900*y**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcznznzznziffyczc. What is prob of picking 1 c and 1 z?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s - 62. Suppose 4*m + 3*g = 39, 0 = -4*m - 2*g - 25 + 67. What is w(m)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/7 - ((-2848)\/56 + 18). Sort 0, -3, y in descending order.\nAnswer: y, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3225.49814 to one decimal place.\nAnswer: 3225.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 10*u + 19. Give j(5).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 2*t + 89, -5*w + 74918 = -3*t + 74827 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 + (-9)\/27. Let g be (-17)\/7 - (w - -2)*-1. Let r = 128\/5 + -26. What is the third biggest value in g, r, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*s + 73*s - 139*s - 28 + 300 in the form v + f*s and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 6\/(-3)*1. Suppose f*v = 4*i + 16, -2*v - 2*i = 3*i - 1. Let x be 4\/6 - (-7)\/v. Put x, 0, -4 in ascending order.\nAnswer: -4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38171692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4784 and 9152?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 8, -0.1, -0.7, 4\/193.\nAnswer: -0.7, -0.1, 4\/193, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 12:58 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.28 (b) -21\/4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35220 and 5233692?\nAnswer: 26168460","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Divide -129888632 by 32472158.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 18. Let d(x) = -x + 12. Let k be d(g). Suppose 5*m - 78 = k. Calculate the least common multiple of m and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 84851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5651.5*0.2.\nAnswer: 1130.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*y - 194, 4*y - v = v + 406. Suppose 566 = -2*c + 4*f, 2*c - 4*f - 542 = 4*c. Let h = c + 290. Calculate the remainder when y is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36600 + -24034. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7965 is divided by 622.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, w: 2, k: 1, x: 1, t: 1, f: 1}. What is prob of picking 1 k, 1 x, and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -663*a + 2217*a + 454*a + 2671 - 2671 to y + r*a and give r.\nAnswer: 2008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -2*u + 28, -27*o + 34*o = 5*u - 2*u + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6846, -4732, -2618?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-4)*6\/5. Suppose 0*j = 2*j + 3*c - 4, 0 = -3*j - l*c + 9. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5}. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300130.\nAnswer: 2, 5, 30013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyyjeeemmujmed. Give prob of picking 2 m.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1448716 is divided by 3141?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 + f**2 - 4*f**3 + f**2 + 5*f**2 + 3*f**3.\nAnswer: -f**3 + 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**2\/2 - 1. Let m(a) = -6*a**2 - 2*a**2 + 7*a**2. What is s(m(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000128 rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (86\/7)\/((-1138)\/3983)*1.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92\/(379 - 11))\/((-3)\/(-732)*-1)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28392512 is divided by 2473?\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1874 - 616 - 623 - 635 + 214*f.\nAnswer: 214*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.04 - -5. Let z = -0.128 - 0.032. Let q = r + z. Sort 2, 4, q in ascending order.\nAnswer: q, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 9 = 3*k, 3*r + 7 + 0 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -25*u - 216. Give f(-5).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 1. Let b be s(1). Suppose 2*d - r - 3*r - 28 = b, d - r - 9 = 0. List the prime factors of (7*-1)\/(d\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o + 1. Let s be r(-1). Let z be (2\/(-5))\/((-3)\/75). What is the highest common factor of s and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*h + 36, -h = 3*d + h - 73. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.05 (b) 34 (c) -0.4 (d) 21 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 2 - 1 + 337276*u.\nAnswer: 337276*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2863445 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 9:40 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**5\/30 - 2*f**3\/3 - 3*f**2. Let o(y) be the first derivative of g(y). Give o(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -312 - -497. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 78*x**2 + 1019*x + 1098.\nAnswer: (x - 61)*(x - 18)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2744 divided by 9451\nAnswer: 2744\/9451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -35, -110, -245, -452, -743, -1130?\n\"Answer: -2*j**3 - 18*j**2 - 7*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 921413533 from -2.\nAnswer: -921413535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 463227703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*t**2*v**3 + 9151*t**2*v + 2967*t**2 - 71*t wrt v.\nAnswer: 9*t**2*v**2 + 9151*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 0.2, 0.5, 3, 258?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q**2 + 65*q - 18. Let u(a) = 10*a**2. What is u(h) + z(h)?\nAnswer: h**2 + 65*h - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28250169?\nAnswer: 3, 19, 495617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1422 and 162.\nAnswer: 12798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2050 (b) 5 (c) 3 (d) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -6, 3 in descending order.\nAnswer: 3, 0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 153 = -2*n, -2*h + 4*h = -n + 303. Let p = 1055\/7 - h. Suppose 2*u = -u - 6. Sort u, p, -3 in ascending order.\nAnswer: -3, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -6. Suppose -m*q = -8*q + 18. Suppose o - 24 = -5*l - 2, 0 = o - 3*l - 6. Calculate the highest common factor of o and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -77*w**2 - 2*w - 2. Let b be c(-1). Let j = 16 - 42. Let i = j - b. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 55 - 61. Let s(k) = 11*k**3 - 2*k + 2*k + 1226*k**a + 2*k. Let u be s(2). What is u rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 take away 0.3959668972?\nAnswer: 85.6040331028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(1\/3)*w*w**6*(w\/(w*w**(-13)*w))\/(w**0\/w*w*w*w*w) assuming w is positive.\nAnswer: w**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 23. Let i be w\/(-1)*(-28)\/35. Suppose 2*g = -4*n + 42, i*n - 3*g = -2 + 59. Calculate the remainder when 34 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 13*a**2 - 2*a - 16. Let s be z(-13). Let r be (-5)\/((-75)\/6)*s. Let b = -13 - -8. What is the second smallest value in -0.02, b, r?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 20*q = 87 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -100*q - 3. Let d be x(-2). Let f(r) = -57*r - 311. Let w be f(-7). Suppose -w*p = -89*p + d. What is the remainder when p is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231002475 divided by 5?\nAnswer: 46200495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6834 divided by -67?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 2*r - 2*r)*(201*r - 39 + 87 - 46) to the form f*r**2 + h + b*r and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**5\/70 + u**4\/21 - 2*u. Find f, given that l(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*c - 9 = 5, 4*c = 4*k. Find the third derivative of -2 - 51606*r**3 + 51606*r**3 - k*r**2 - 41*r**4 wrt r.\nAnswer: -984*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.12 + -5.38. Let j = 0.5 - s. Let l = j + -9. Put -2, 1\/7, l in ascending order.\nAnswer: l, -2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 + 2*r + 2*r - 3 + r**3 - 1 - 2*r**3. Let a be w(3). Calculate the greatest common factor of 40 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1 * -0.0075.\nAnswer: -0.02325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/((sqrt(72)*2 + sqrt(72) + sqrt(72))\/sqrt(8)) - (sqrt(11)*1*5*2)**2.\nAnswer: -1100 + sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8 - ((-499789)\/(-41713) - (-4)\/(-1)) and 73\/404.\nAnswer: 2828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-6\/5)*d*d**18 assuming d is positive.\nAnswer: d**(106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**3 - 35*l**2 + 114*l + 53. What is the thousands digit of k(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -4. Suppose 5*u - 4 = 5*h + 26, -u - 4*h - n = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/1*(39\/12)\/13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -7*h**5\/20 - h**2\/2 - 130*h + 115. Let l(c) be the first derivative of p(c). Calculate l(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 9*r - 9. Let y = -8 - -10. Suppose -3*s + 4*l = -50, -2*s - 12 = -y*l - 42. What is the units digit of v(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6909)\/(-273) - 27 - (-5 - -3).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3 + 7*r - 6*r**2 - 40*r + 2*r**3 + 19*r + 19*r. Suppose 0 = -0*y - y + 4. What are the prime factors of q(y)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-7)*y)\/y*(y\/((y\/(y**(-21)*y))\/y*y*y*y))\/y*y**(2\/3)\/y*y**(-28\/3)\/y assuming y is positive.\nAnswer: y**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1363 from -1190.\nAnswer: -1189.8637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*f + 164*f = 5*d + 58, -5*f - 35 = -4*d for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 968.0517 hours in weeks?\nAnswer: 5.7622125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 171893337 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 2257, -0.033, 64 in ascending order.\nAnswer: -0.033, 4\/3, 64, 2257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*s + 133 = 0, t + 1559785*s - 1559783*s - 2 = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 543583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 10*z - 11. Let l be f(11). Suppose -v + 11 + 2 = d, l = 5*v - 3*d - 57. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-12) + (-80)\/(-480)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffsfeeaeffesa. Give prob of sequence fefs.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -84, -575, -0.1, -0.6.\nAnswer: -575, -84, -4, -0.6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 112019371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 42*d**3 + 7*d**2 - 92*d - 444*d**4 + 92*d + 448*d**4 to c*d**3 + i*d + l + j*d**2 + n*d**4 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 52*j**3 - 40*j**2 - 48*j + 31. Determine l(4).\nAnswer: 2527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 7\/(14\/(-6)). Let v(f) be the first derivative of -61*f**2\/2 - 4*f + 17. What are the prime factors of v(o)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 479 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541394383.\nAnswer: 71, 7625273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.079 - -0.079. Let q be -1 + (-141)\/(-396)*3. Let d = q + 2\/11. What is the closest to d in t, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1085358826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 - 77*s**3 + 12*s**3.\nAnswer: -69*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9458 - 47289\/5. What is the second biggest value in -3, -0.5, w, 24, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*k**2*m**3*z - 8*k**2*m*z - 2*k**2*p**3*z + 2*k*p**3*z - 15*k*z + 21*m**3*p*z - m**2*p**2*z wrt k?\nAnswer: 196*m**3*z - 16*m*z - 4*p**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75625\/4 + 1\/4*z**2 - 275\/2*z = 0.\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4*i - 208 = -168, 64 = 4*h + 7*i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 4*k + 12. Let r be x(-2). Let w = r - 9. Which is the third biggest value? (a) w (b) -3\/4 (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*j = -59*j - 2*p + 4544, -3*p - 1122 = -j. Suppose 2*c = 6 - 2. List the prime factors of j\/15 + c\/5.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 9 - 24 = 0. Let s be 5\/100*5*20. Solve h*t + s = -0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 500 and 9340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + (-3 + sqrt(171) + -1 - (sqrt(171) - (-1 + sqrt(171) + sqrt(171)))*-4 - 4*(sqrt(171) + 1)*6))**2.\nAnswer: 4860*sqrt(19) + 125559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194534605 is divided by 5394.\nAnswer: 5389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14234 (base 7) to base 14\nAnswer: 15c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63.8 + 64. Which is the closest to 2? (a) r (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00498325667 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127930, -128014, -128098, -128182, -128266?\nAnswer: -128350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 512 and 3824.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13\/4 - -57\/20. Let x be (3\/(-68))\/((-2)\/21256). Let c = -469 + x. Sort 5, c, v.\nAnswer: v, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1536154 and -1536166 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 9*o**2 - 8*o + 13. Let h be y(10). Suppose w - 4*m + 54 = 3*w, 4*m - h = -w. Suppose -w*g + 9*g = 0. Sort -3, 2, g, -4.\nAnswer: -4, -3, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1223973, 1223974, 1223977, 1223982, 1223989, 1223998?\n\"Answer: v**2 - 2*v + 1223974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4738, -4740, -4742, -4744?\nAnswer: -4746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Suppose b*d - 60 = 7*d. Let m = d - -26. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -169, -178, -175, -154, -109, -34, 77, 230?\n\"Answer: f**3 - 16*f - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(300))\/sqrt(10) - (sqrt(120)*3 - sqrt(120))\/sqrt(4))\/(4*sqrt(486)\/sqrt(36)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, c: 7}. What is prob of picking 3 v?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: (207\/(-184))\/((-6)\/16)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -5. Put x, -3, -0.1 in descending order.\nAnswer: x, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 2:55 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, h: 1, b: 1, u: 1, q: 2}. What is prob of sequence ufh?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Suppose 44 + m = 8*j. Suppose -5*p - 32 = -3*h, 5*h - 5*p + 21 = 71. Solve 2*o = -2*a - 0 + j, 0 = a - 5*o + h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*q + 5*o + 30, 0 = q + 3*o + 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1079452?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, w: 11}. What is prob of picking 3 g?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 69.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 383315 rounded to the nearest one thousand?\nAnswer: 383000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2. Let z(w) be the first derivative of 128*w**2 + 207. What is r(z(u))?\nAnswer: 65536*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/4 + 527994\/24 + 0. Round b to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 10*d**3 + 8*d**2 + 53*d - 10. Let u(a) = 2*a**3 + a**2 + 2*a - 1. What is 8*u(w) - z(w)?\nAnswer: 6*w**3 - 37*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + 2*sqrt(125))*-1 + (sqrt(5) + ((sqrt(60)*-1)\/sqrt(12) - sqrt(5)))*6)**2.\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1078 + -0.1755. Round s to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/70 - (-33)\/60?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 12*s - 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 202.2 and -7.3928.\nAnswer: -1494.82416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, v: 7, r: 3}. What is prob of sequence qrqv?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -22. Suppose -5*k + 105 = 5*u, -2*u - c = -k - 1. Suppose -k*a**3 - 5*a**2 + 4 + 2*a**2 + 15*a**3 = 0. What is a?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 10 - 33*m + 315 + 93*m - 33 - 36*m. Let w be s(-10). Are 51 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170997 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 80243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11212, 0.11, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 158001 or 632003\/4?\nAnswer: 158001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = 201 - 41. Let o be ((-1 + 5)\/i)\/((-144)\/520). Which is bigger: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, k: 11, m: 1}. What is prob of sequence kpkm?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -8.2.\nAnswer: -65.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-418)\/30 - 669\/10035 - 22\/(-3)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 35 - 161 - (61 - 266)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, l: 7, u: 4}. What is prob of picking 1 u, 2 j, and 1 l?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-40))\/((-27)\/36).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/130 and -71\/112.\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, g: 3, b: 1, y: 2, e: 3, o: 3}. What is prob of picking 1 b, 1 y, 1 s, and 1 o?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v + 88 = 18*v. Let h(p) = -17*p - 58. Is h(v) a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 10254*h - 71681. What is l(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 2\/5 (c) -0.02 (d) -0.5 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2. Let m(l) = 2*l**2. Let k(g) = 5*f(g) + 9*m(g). Let j(x) = 7 - 2*x - 4 - 3. Give j(k(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*s**3*t**2 - 5*s**3 + 875*s*t**2 - 2*s - 2*t - 11 wrt t?\nAnswer: 48*s**3 + 1750*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 15*g**2 - 2. Let h(s) = 1075*s**2. What is w(h(n))?\nAnswer: 17334375*n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 22 = 3. Suppose -15*p + q*p = 76. Solve 3*v = -5*c - p, -3*c = -0*c - 2*v + 19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 219, 2, 37?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(15\/20*-2). Let y = 2 - b. Let i = y - -163. Is i 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 78*f**5 + f**4 - 30681*f**3 - 8738619*f**2 wrt f?\nAnswer: 4680*f**2 + 24*f - 184086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 3 + 4 + 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33698093?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151372827 divided by -1823769.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -173 + 101. Suppose -a - 2 = -2*a. Let v be ((-1)\/a)\/(6\/t). Solve 26 - v = 2*n + 4*p, 15 = -n + 3*p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6400, 26131, 59896, 108415, 172408, 252595, 349696?\nAnswer: 464431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4596.9 * 85\nAnswer: -390736.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/220*50)\/(135\/(-486))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 10*i**2 - 11*i + 2. Suppose 7*c - 8 = 3*c. Let x be j(c). Let d = 55 + -25. Calculate the highest common factor of d and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 + 0.4. Let u = i + 1.96. Let s = 0.03 - u. Round s to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-6))\/((-2)\/12). Suppose -s + n = -0*s. Solve 7 = -s*m + 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 322 - 11?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3 = 5. Let a be (8\/(-2))\/(1 + g). Solve u = a*u + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -17*l**2 + 5*l + 2. Let f(i) = 9*i**2 - 16 + 0 + 11 - 3*i + 4. Calculate -5*f(p) - 3*v(p).\nAnswer: 6*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2302220.9 or 0?\nAnswer: 2302220.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, k: 11}. Give prob of picking 3 k.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70695 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-368))\/(3\/156)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -143*t + 326*t + 3901 + 5615 for t.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36692 rounded to 2 dps?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 386852*k**4 + 90228*k**2?\nAnswer: 9284448*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23 and 15847.\nAnswer: 15847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -13 (b) 500\/31 (c) -4 (d) -12 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*d + 32*d + 2*d**2)*(-3 - 5 - 4 + 4 + 2 - 4 + (-4 + 2 + 1)*(1 - 4 + 5) - 2 + 1 - 1 + 1 - 2 + 0).\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 697423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6897 = -21*m + 18*m. Let v = m - -7338. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -365674 at least -365659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 42 (b) -2\/15 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y. Let o(i) be the first derivative of -3*i**2 + 6 - i**2 - 4*i**2 + 6*i**2. What is o(a(b))?\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4794 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(77)*-2 + sqrt(77)) - sqrt(77)) + sqrt(77))\/(-5*sqrt(176)).\nAnswer: 3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 111742851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2264)\/12)\/(2\/(-3)). Suppose -46 = 31*j - 54*j. Factor -283*f + i*f - 4*f**3 - j*f**4.\nAnswer: -2*f**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -24 - (-50 + 51)) + 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**3 - 5*x**2 - x + 3. Let i(w) = -8*w**3 - 9*w**2 - 3*w + 7. Determine 2*i(h) - 5*n(h).\nAnswer: 4*h**3 + 7*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) 33 (c) 3 (d) 0.37 (e) 173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.8 + -0.7. Round a to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3250915778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - q - 69 = 0, 3 = -q - 1. Let j(z) = 9*z + z**2 - z + 9*z + 47. Calculate the remainder when y is divided by j(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z. Let t be w(-1). Suppose -11*i + 51 = -48. Let o be ((-4)\/6)\/((-3)\/i). Calculate the highest common divisor of o and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.1 (b) 0.1 (c) 0.2 (d) -10474 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 27 - 19)*(4*l - 7*l - 3*l**4 + 2*l) in the form x*l**2 + i*l**3 + k*l**4 + p*l + t and give p.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 5:48 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 13*o**2 - 6*o + 29. Let s(l) = -14*l**2 + 5*l - 29. Let d(h) = 5*a(h) + 6*s(h). What is the first derivative of d(t) wrt t?\nAnswer: -38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ca5c7 - 146?\nAnswer: -ca71d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msbmzzfif. Give prob of sequence msi.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (315\/(-49))\/(1*40\/(-35)*(-59)\/(-59)).\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/22 and 1779\/(-72) - 2\/16.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18 (b) 5 (c) -3 (d) -241.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**4 - 3728*h**2 - 5 + 3737*h**2 + 1 + 3*h**4 as p + a*h**2 + x*h**3 + o*h + g*h**4 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2697595231.\nAnswer: 31, 2807071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -a32 (base 11) to base 5\nAnswer: -14440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76650 and 28350?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347517 is divided by 210.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i - 4*u - 10 = 0, -5*i + 5*u = -75. Find the common denominator of -5 - (2\/(-13) + (-3225)\/1430) and (-2)\/5 + (-341)\/i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.05 (b) 7112 (c) -0.22 (d) 3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10, -98, -286, -598, -1058, -1690, -2518?\n\"Answer: -4*c**3 - 26*c**2 + 18*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) 0 (c) 5 (d) -825 (e) -2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -65ae79 - -44?\nAnswer: -65ae35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 283 = -42. Calculate the remainder when b is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 1 = -3*b, n + 3*b = 4 - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 371\/2154 - 2\/359. Let n(f) be the third derivative of f**2 + 0*f + 1\/12*f**4 + 0 + v*f**3. Let q(r) = 7*r + 4. Calculate 22*n(t) - 6*q(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 500847?\nAnswer: 10517787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, s: 11, q: 4}. What is prob of sequence qq?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -487265084*i**5 + 37*i**2 - 1057*i + 440?\nAnswer: -29235905040*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3*w = -5*s - 4, 3*w = -3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 403b3b - 1f?\nAnswer: 403b1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -33.4. Let v = 7.3925 + b. Let r = -0.2 - v. Round r to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 77*b - 28*b - 36*b + 4*b**3 as p*b**2 + n*b**3 + g + y*b and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29711?\nAnswer: 11, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 + 0*r + 0*r + (0*r**2 + 0*r**2 + r**2)*(4*r - r - r) + (r + 2*r - 2*r)*(3*r**2 - r**2 - 5*r**2) as f*r**3 + m + q*r**2 + k*r and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1796.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = 0, m = 5*g - g + 370. Let x = g - -103. Let q(b) = 4*b**2 + b - 1. Let l be q(1). What is the highest common divisor of l and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -0.3, -15, 0, 374 in descending order.\nAnswer: 374, 1.3, 0, -0.3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2362, -2351, -2338, -2323?\n\"Answer: u**2 + 8*u - 2371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2232830.\nAnswer: 2, 5, 223283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 398053096\/3 - 901192132097\/6792. Let d = 1\/566 + h. Calculate the common denominator of d and ((-49)\/2)\/(11\/2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - 2*n - 3. Let c be 8\/(-12)*-1*6. Is a(c) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4032 - 1.5968. Suppose -5*d - 3*j - 6 = -d, 5*j - 10 = 0. Which is the second smallest value? (a) g (b) d (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201001010212102 (base 3) to base 10\nAnswer: -10119881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -2\/7, 26, 0, -296?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-21)\/c)\/(c*c**(-7)*c))\/((c\/c**(1\/18))\/(c\/(c*(c**(-7)\/c)\/c*c))) assuming c is positive.\nAnswer: c**(-179\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477 is divided by 385.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 114 = 5. Let a be 4\/d*3*14\/9. Factor 8\/3 - a*y + 2\/3*y**2.\nAnswer: 2*(y - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 + 0.3. Let t be 50\/(-15)*(-8)\/120. Let v be (-46)\/(-14) + 4\/(-14). What is the third smallest value in a, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**2 - 15*s**2 - 7*s**2 + 0 + 0 + s**2 + (-2*s - s + s)*(5*s - 3*s - 3*s) as r + f*s + j*s**2 and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 5*g + 5, 3*a = -2*g - 8 - 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199431 is divided by 4122.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/4)\/x)**(1\/7)\/(x**(2\/3)*x*((x*x**(4\/5))\/x*x)\/x))**(-47))**(2\/141) assuming x is positive.\nAnswer: x**(1111\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23915239 - -20806267621\/870. Let x = 17\/435 - u. What is the common denominator of -1\/6 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(-11)))**(-46))**(-18))**9 assuming t is positive.\nAnswer: t**81972","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 59 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*j - 66*j - 20 = 0. Let w(o) = -123 - j*o + o + 2*o**2 + 132. Calculate the least common multiple of 14 and w(7).\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x + 3. Suppose 3*p = 2*j - 7, 4*p + j = 6*j. Let b(s) = 2*s + 12. Let q be b(p). Is 11 a factor of g(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52867583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -19, 7, 30, -3, -5, -4.\nAnswer: -19, -5, -4, -3, 7, 24, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4344 and 2102496?\nAnswer: 2102496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -209.5. Let x = -182 + m. Let h = -0.5 + -3.5. Put x, 0, h in descending order.\nAnswer: 0, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 972.4398 grams to kilograms.\nAnswer: 0.9724398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9238766?\nAnswer: 2, 769, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/11)\/(m\/((m\/(m\/((m\/m**(-3))\/m)))\/m)))**(-5)\/((m**(1\/4))**(-49)*(m\/(m\/m**(-3)))\/(m\/(m\/(m\/(m*m**1*m))))) assuming m is positive.\nAnswer: m**(423\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1022*d*q**2*z**2 + 2*d*q*z**2 + 59*d*q*z - d*z + 8*q**2*z + 9*q**2 + 55*q*z**2 + z**2 wrt q?\nAnswer: -2044*d*z**2 + 16*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 a, and 1 u when three letters picked without replacement from {o: 2, i: 5, u: 1, v: 5, a: 6}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-28 - 3) - (4268 + -4382)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -13 + -21 + 24.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 0*t**4 + 5\/3*t**6 + 0*t - 4*t**3 + 0*t**2 + 0*t**5 + 9. Find the third derivative of q(k) wrt k.\nAnswer: 600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 129, -3, -5, 0, 3 in descending order.\nAnswer: 129, 3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z**2 - z)*(-3 - 2*z + 3) + 0*z + z**3 + 0*z + (1 + 3*z - 1)*((z + 2*z + z)*(z - 2*z - z) - 4*z**2 + 0*z**2 + z**2).\nAnswer: -30*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 31. Let z be 2*(-6)\/(-4) + 0. Put z, k, -1 in decreasing order.\nAnswer: z, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*z**4 - 33*z**2 + 3096*z + 18084321.\nAnswer: 16*z**3 - 66*z + 3096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*h + 7. Let m be (-4)\/(-18)*6*h\/(-4). Let o(a) = 3*a + 1. Give o(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s - 10*s + 13*s - 29*s.\nAnswer: -45*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1881*n**3 - 9 - 7 + 4 + 1621*n**3.\nAnswer: -260*n**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66*q**2 + 81*q - 81*q)*(-2*q**2 - 2 + 2) to u*q**3 + h + w*q**4 + l*q**2 + f*q and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1406 and 275909?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6031044.\nAnswer: 2, 3, 55843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 9. Suppose 6*m = 3*m + 2*x + 16, -4*m + 44 = 3*x. Let u be g(m). Suppose 2*d = -2*d - h + u, 54 = 4*d + 2*h. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*((sqrt(792) + -1*sqrt(792)*1 + sqrt(792))\/(sqrt(72) + (sqrt(72) - 2*sqrt(72))*-5) + -3)**2.\nAnswer: -6*sqrt(11) + 359\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*2\/6)\/((-297)\/891)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 5. Let n(y) = -y - 4. Let l be n(w). Suppose -l*d + 11 = -2*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*z + 336 = 404*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 15. Suppose -z = y*z. Solve -3*h + 3 = -z*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/2)\/(48\/1312) 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 30 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, 3, 2, 11, 36?\n\"Answer: n**3 - 4*n**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211097*p + 7 + 3 - 10.\nAnswer: -211097*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*k = -30*k - 160 - 656 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/23? (a) 3 (b) 1\/9 (c) 5\/3 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12453 and 182644.\nAnswer: 547932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 - x. Let v(u) = -2*u**2 + 3*u + 4. Let c(b) = -4*b**2 + 5*b + 7. Let s(z) = -3*c(z) + 5*v(z). Let i be s(1). Is j(i) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 12*n - 128. Let d be (5 - n) + (-132)\/(-42). Does 1 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14315924823 + -66.241.\nAnswer: -14315924889.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75.2 + -75. What is the closest to 1 in d, 2\/15, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(42\/136)\/(-3). Let u = 2\/17 + t. Let k = 0.164 + 0.036. What is the second smallest value in k, u, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29050, 117088, 264116, 470134, 735142, 1059140, 1442128?\n\"Answer: 29495*o**2 - 447*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 + -552\/7. Let w = 0.14 + 14.86. Let m = w + -19. Put 0.2, t, m in ascending order.\nAnswer: m, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + y = 13033, 3*i + 11*y - 16*y - 13063 = 0. What is the highest common factor of 82 and i?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (-5)\/((-15)\/9). Let m = 6 + u. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j - 16 = 0. Let k be (-30)\/(-24)*j*1. Suppose 3*a = 2*w - 3 + 23, 4*a - k = 4*w. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.2947049 decades?\nAnswer: 0.02947049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 16. Suppose 0 = 5*t + 2 - z. Suppose 0 = 4*l - 17 + 5. Solve 0 = 3*f + t*r - l, 4*r = 2*f - 3*f - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 131\/((-4119)\/1374 + 3). Suppose 3*u = -5*k + 99994, -3*k - u + y = -0*u. Let p be (-36)\/(4*2\/k). Round p to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*o = 55, -20 = 43*m - 44*m - 4*o + o for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 3*s + s + (0 + 4 - 1)*(3 - 3 + 2*s))*(0*s - 4*s + 3*s) to the form z*s**2 + v*s + n and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -5*h + 5*o - 0*o - 2 - 2, o = 5*h - 38 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 + -1389\/16. Calculate the common denominator of r and (22\/(-60))\/(22\/(-55)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - -50) + -1 + -11 + -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55544 and 33536.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 277.\nAnswer: 277.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/13, -0.3, 3, 0, 1, -16, -3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002837060884 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9229 by 2.\nAnswer: -9229\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 226454821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) -0.4 (c) -1386 (d) 0.4 (e) -0.2 (f) 3383\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -79a + -7?\nAnswer: -7a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5695069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*h = -26496 + 26481, 5*v = 4*h + 73. Let x be (-3)\/(-12) - (-3)\/4. What is the remainder when v is divided by 114\/8 + x\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**3 - 55*l**2 - 62*l - 24. What is s(-11)?\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 3\/2, -1\/19, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 52*u**3 - 623*u**2 - 38*u + 329. Calculate p(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 436666 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 = 5*z - 173 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 8. Let x be l(-6). Suppose -x*a = 1 - 5. Solve t + 3*y = -a, 5*t + y = 6*y + 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (252\/(-15))\/((-3)\/20). Suppose -5*j + 4*j = -2*k - 23, 4*j - 3*k - x = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 132*m**2 - 134*m - 617. Give j(-131).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - i + 9, 3*p - 15*i = -13*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 1. Let w(d) = -7*d - 2. Let h(y) = y - 2. Let m(k) = -3*h(k) - w(k). Let g(a) = -1. Let i(n) = g(n) + m(n). Calculate -5*c(z) - i(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221 + 10102122002?\nAnswer: 10102120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 9*i**2 - i + 6. Let d be k(-9). Let u = d + -16. Put 6, -3, u in descending order.\nAnswer: 6, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*o - 135 = 5*w - 1000, -4*o - 45 = -w + 8 - 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6390 and 17802.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from bbnb?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 13*m - 20. Calculate z(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**6\/120 + n**5\/12 + 11*n**4\/24 + 5*n**3\/6 + 10*n**2. Let r be c(-4). What is the units digit of 8\/1*r\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.38477034 to three decimal places.\nAnswer: -2.385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + (-4)\/1*-1. Let k be (-15)\/b*-4*1. Suppose 1857 = k*t + 412. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 398 = 2*v, b + 92 = -4*v - 698. Is -198 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/8 and 2\/(-29) - (217153\/31523 + -7).\nAnswer: 8696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 33.7 (c) -3 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*g**5 - 356*g**4 + 1080*g**3 - 1384*g**2 + 812*g - 180.\nAnswer: 4*(g - 9)*(g - 1)**3*(7*g - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 5*t**2 - 6*t + 4. Let q be b(6). Let j(a) = q*a**3 + 0 - 2 + 1 + 3*a**2 - 2*a**3. Let l(h) = h + 2. Let x be l(-4). Determine j(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-67)\/67 + (-1 - -771). Suppose -775 = -6*r - l. Let z = 1719\/11 + -156. Which is greater: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -523332247 less than or equal to -523332244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 85.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-493 - 498 + 991 - 1534*h)*(3*h + 3*h - 5*h).\nAnswer: -1534*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5491 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m = -31999 - 6567. List the prime factors of m.\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30611183 smaller than -30611176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*c**2\/3 - 6598*c\/3 - 550.\nAnswer: 2*(c - 825)*(4*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*q + q**2 - 14*q + 19*q**4 - 3 + 1 + 33*q in the form a*q**3 + c*q**4 + h + n*q**2 + i*q and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 18 - 12*o**3 + 141*o**3 - 2*o**3 + 70*o**3 + (6*o**2 - o**2 - 3*o**2)*(-3*o - 4*o + 5*o) in the form i*o**3 + n*o + y*o**2 + r and give i.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.609 and 0.20708053?\nAnswer: 0.81608053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 3*x**2 - 3*x - 3. Let o be m(4). Let f be 2 - (-40 - (2 + o)). Suppose -3*z - f = -5*c, 0 = 5*c + z - 3 - 22. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**5\/3 + 5903*m**4\/3 - 8708384*m**3\/3 - 8808788*m**2\/3 + 46515648*m - 58095360 = 0.\nAnswer: -5, 2, 2952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {v: 3, j: 5, m: 4, x: 7}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 - 65. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13745, 13753, 13761, 13763, 13753, 13725?\nAnswer: 13673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 18 = -13*c. Is (-995)\/c + 2\/(4\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -18*a + 17*a. Let x(u) = u**2 - 11*u + 2. Let q be x(a). Suppose -7*y = q*y - 99. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/17 + 14612*y\/17 + 160974\/17.\nAnswer: -2*(y - 7317)*(y + 11)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16040 (base 10) to base 13\nAnswer: 73bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 10 = 5*j. Let l be (-8)\/6 - 100\/j. What is the units digit of l*((-12)\/(-8) + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 37. Suppose -3*a - 4 = -n. Solve 2*b - 9 = -3*t, a*b - 4*b - 2*t - 2 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u - 0*u. Let q(x) = 2*x + 1 - 4 + u*x**2 + 4*x - 2*x. Let z(c) = c**3 - 33*c**2 - 234*c + 2. Let w be z(39). Determine q(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9416 by 3748.\nAnswer: 2354\/937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 147152668 a multiple of 2054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/(-4))\/16*124)\/((-52)\/(-52)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -5, 14, -0.4, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/1*(-2)\/4. Let c be ((-144)\/900)\/(52\/10). Which is smaller: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 - p + 170 - 91.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r - 10 = 0. Suppose -5*k + 43 = 4*n - 20, 0 = -4*n + r*k + 42. Calculate the remainder when 47 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11414333 (base 6) in base 10?\nAnswer: -359985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Suppose d + 9 = i*d. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 7 + 4 = -z, 5*j = -5*z + 20. Calculate the remainder when z is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, -2, 509 in ascending order.\nAnswer: -2, 0.24, 509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1375400 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/240792 and -19\/53088?\nAnswer: 6742176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117 + 119. Suppose -5 = 3*s + 4*u + y, -8 = 2*u. Solve 0 = -s*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-24)*1*(-10296)\/(-117).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -0.032 (b) -35 (c) 39\/14 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -11553526.794004.\nAnswer: -11553526.894004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.925318 rounded to 2 dps?\nAnswer: 33.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*q - 12*q**3 - 13*q**3 + 4*q**3 + 5*q**3 - 93*q.\nAnswer: -16*q**3 - 27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(8\/7)\/((d\/d**(-12))\/d))**15)**(3\/17) assuming d is positive.\nAnswer: d**(-3420\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6116124431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -6. Suppose 2 = -4*a - n. Is 2 - a*(0 - -29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-10))\/(24\/60)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -6, 5, 678, -1, -242, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.14907118 and 295.\nAnswer: 293.85092882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - 3277546.\nAnswer: -3277513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -314*k**2 + 17*k - 163. Let o(x) = -105*x**2 + 6*x - 58. Let a(r) = 6*c(r) - 17*o(r). Let v(p) = 4*p**2. Give v(a(j)).\nAnswer: 39204*j**4 - 6336*j**2 + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/7192 and 7\/58?\nAnswer: 7192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/5)*d*d*d*d)\/(d\/d**(-2\/9))*(d\/(d*d\/(d**(-1)\/d))*d)**(-12) assuming d is positive.\nAnswer: d**(1259\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -174662 divided by -837\nAnswer: 174662\/837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*m - 44*m - 2352 = 141*m for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((0 + 3*(1 + 6*sqrt(76)*2*1))*-5)**2.\nAnswer: -2462625 - 10800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25 or -3\/2066848?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/((-11)\/66)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -59245*i**2 - 3*i + 3*i + 58963*i**2. Let p(d) = 31*d. What is p(c(r))?\nAnswer: -8742*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36\/14)\/(2 + (-13)\/7). Calculate the greatest common factor of k and 1818.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1495067 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-2\/7)\/r)*r**(-1\/8)\/r)\/((r*r**(1\/4))\/r*r**(-1\/10)*r) assuming r is positive.\nAnswer: r**(3\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ab9 + -146?\nAnswer: -c21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26313697 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28858843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-242 - -236) + (-15 - 0) - -22.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/99)\/((-6)\/18)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -116*d + 0*d**6 + 36\/7*d**7 + 1 + 0*d**5 + 1\/3*d**3 + 0*d**2 - 20\/3*d**4. Find the third derivative of r(n) wrt n.\nAnswer: 12960*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -2\/5, 2 in descending order.\nAnswer: 2, 0, -2\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14659.\nAnswer: 107, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 702 = 23*t. What is the remainder when 807 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 46\/(-14) - 36\/(-126). Let h be p - (-133)\/49 - 8\/(-126). What is the second biggest value in -11, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/5 + 2*o**3 - 32*o**2\/5 + 38*o\/5 - 3.\nAnswer: -(o - 5)*(o - 3)*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -149775587*n + 84448268 wrt n?\nAnswer: -149775587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 64 = 36*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 135*d - 441. Let k be j(3). Let x(f) = 19*f + 9. Let s(a) = -a - 1. Determine k*s(g) - 4*x(g).\nAnswer: -40*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 times -126379?\nAnswer: -13901.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 - -57 - -215 - (-1 + (-2 - -58))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 12:50 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -1626 - 2245. Let c = y + -180. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, z: 1, q: 10}. What is prob of picking 4 w?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) -3\/4 (c) 6\/7 (d) -981\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(102)*-5 - sqrt(102))\/sqrt(6))**2 - (sqrt(17) + sqrt(51)\/sqrt(3) + -1 + -1).\nAnswer: -2*sqrt(17) + 7499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1*g)**(-30\/13))**9\/(g**0\/g*g*(g\/g**(1\/3))\/g*(g*(g*g\/(g*(g\/(g*g*g**5))\/g))\/g*g*g)\/(g*g*g**(-2\/15)*g)) assuming g is positive.\nAnswer: g**(-4492\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -38949247?\nAnswer: -1\/38949247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/4*4\/(-8). Suppose -151 = -3*o + 2*n + 17, -o + 56 = -m*n. Calculate the remainder when o is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*i + 2*c - 5, -2*c + 11 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*2\/(-6)*10. What are the prime factors of p\/5 + 2*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*z - 4 = 0, -1 = 4*q - 4*z - 17. Suppose -2*g + 0*g - 36 = -4*c, -5*g - 34 = -2*c. Calculate the smallest common multiple of q and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 252\/30 + 6\/(-15). Suppose p*m = 9*m - 15. What is the remainder when m is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, 5, 13, -4 in decreasing order.\nAnswer: 13, 5, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7767 divided by 3\nAnswer: 2589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*d = -0*d + 83, -d = -2*o - 52. Let q be (0 + -1)\/(2\/(-78)). Let s = q + o. Calculate the least common multiple of 7 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5\/7)*c\/(c**22*c))\/(c**(-21)*c\/c**(1\/5)))**37 assuming c is positive.\nAnswer: c**(-3256\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 7:40 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3538300*w**4 - 5060613.\nAnswer: 14153200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1002 or 1003?\nAnswer: 1003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0 - 5. Let x(a) be the second derivative of 7\/12*a**4 + 1\/6*a**3 - 63*a - 1\/2*a**2 + 0. Let r(p) = -6*p**2 - p + 1. Determine z*x(c) + 6*r(c).\nAnswer: -c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405206 is divided by 252?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from riwrcccrrwiircirii.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 5*k**2 - k - 5. Let v = -26 + 21. Let a be r(v). Solve 4*c - 12 = -a*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48549*g - 447 = 48552*g - 12*p, -164 = 4*g - 4*p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/45? (a) -2 (b) -3\/4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 12 + 51. Solve -3*n - u = -0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2. Let a(n) be the first derivative of n**4\/8 - 2*n**2 - 3. Let t(f) be the second derivative of a(f). Give y(t(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12321 is divided by 513.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -x, -d + x + 13 = 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 7:39 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*g - 202, 3*w + 251 - 89 = 4*g. Let y = g + -29. What is the highest common factor of 39 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*g - 120, 2*j = 3*g - 0*g + 52. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-1 - -3)) + 0. Let p(z) = -2*z**2 + 1. Let o be p(i). Is (o\/2)\/(2\/(-388)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1657 - -1671. Calculate the lowest common multiple of b and 1514.\nAnswer: 10598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45000133 (base 6) to base 12.\nAnswer: 553049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2035 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41455440 and 11180.\nAnswer: 41455440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 124\/(-155)*15\/18. Which is the third smallest value? (a) o (b) -5 (c) -55 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 51*z**2 - 17*z. Is f(17) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.576200392 rounded to 4 dps?\nAnswer: -0.5762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 133252 (base 6) to base 16\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27922, 4, -2.\nAnswer: -27922, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 0)*(-75)\/135. Is b not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 4:28 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72511253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -1\/2, -0.3, -184\/625?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8120 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - u - 1. Suppose -13 - 9 = 2*l. Let s = 3 + l. Let z = s + 7. Give h(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102948814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 206 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 104? (a) 0.3 (b) -8\/5 (c) 0.84 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: a895 (base 16) to base 2\nAnswer: 1010100010010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69984 equal to 69985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 23.\nAnswer: 11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 1176, 2816, 5114, 8070, 11684?\nAnswer: 15956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -18*l + 2145. Does 27 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 416 and 49120.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12\/4297 + 480364\/322275. Let q = n - 4\/25. Suppose 0 = -5*w + w + 20. Which is the biggest value? (a) 2 (b) w (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + 65*y - 571. Determine b(16).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 3 - 1 - 1)*(-4 + 4 - 3)*(-2 - 21 + 11).\nAnswer: -72*a + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -9*z**3 - 3*z**2 - 4*z + 31. Let j(c) = -5*c**3 - c**2 - 2*c + 16. Let t(s) = 11*j(s) - 6*q(s). Determine t(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5565 - 3122. What are the prime factors of x?\nAnswer: 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*c**2 + 12*c**2 - 2*c**2)*(c**2 + c**2 - 3*c**2) - 2*c**4 + 3 - 2*c**2 + 1 + c**3 - 3.\nAnswer: 19*c**4 + c**3 - 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -2\/39 (b) 66.6 (c) -1\/7 (d) -0.3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, u: 3, s: 3, e: 3, c: 5, n: 3}. Give prob of sequence een.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -151\/4. Let x = -111 + 55. Let n = -58 - x. Which is the closest to p? (a) 0.1 (b) 2\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220646503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31.9 + 22.6. Let i = -1.7 + c. Let l = -11.3 - i. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + -7056cc?\nAnswer: -705705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 358 + -356. Let h(g) be the first derivative of -1\/3*g**3 + 0*g + 5 + 1\/2*g**n. Solve h(l) = 0 for l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1978 + 2375 = 169*k - 1022 - 709 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 15 = -3*z - x, 0 = -2*z + 3*x + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z + 393 = -83. Solve -10 = 2*t, -z*t + 9 = -i - 15*t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 divided by 1?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g. Let a(p) = 83*p. Determine o(a(h)).\nAnswer: -332*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p**2 - 3286*p - 19624. Give w(-359).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**3\/3 - 5*r**2\/2 - 3*r - 1. Let y(i) = -25*i**3 - 6*i**2 - 10*i - 1. Let g be y(-2). Let q = -189 + g. Determine j(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((17 - 17) + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-one quarters of a millennium?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27\/8 or 2?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1764 + 1764. Solve y = -24*q - 6*q + 150 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.1585*0.01498\nAnswer: 0.00237433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udldluubllldlybdduu. Give prob of picking 2 b.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/15 in -0.7, -10, -0.1, -5\/16, 2, 0.3?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 9*w - 50, -82*o + 2*w = -77*o + 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(-1\/2)\/b)*b*(b\/(b\/(b\/b**26)))\/b*b*b*b assuming b is positive.\nAnswer: b**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/7))**44\/(k*k\/(k\/(k\/(k\/k**(-5))))*k*k*k*k**(2\/7)\/k))**(-30) assuming k is positive.\nAnswer: k**(2280\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2 - -1) + 1 + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csqm when four letters picked without replacement from {m: 1, c: 4, q: 5, s: 1, y: 6, e: 3}?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 23*b**6\/30 + 11*b**4\/4 - 23*b. Find the third derivative of f(n) wrt n.\nAnswer: 552*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(63))\/(sqrt(225)*-3))**2.\nAnswer: 28\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24913 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 4*b = 35, 3*n + 10 - 44 = 5*b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 3:08 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -24*j**2 + 783*j - 479. Give u(32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*h**3 - 169*h.\nAnswer: 114*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d + 19*d + 13*d + 11*d to the form a + v*d and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Suppose j*i + 4*n + 340 = 0, -2*i + n = 3*n + 348. Let v = i - -333. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102 - 1243?\nAnswer: -1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*f**4*m**3 - f**2*m**2 + 10*f*m**3 - 28*m**3 wrt f.\nAnswer: -528*f**2*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**6\/360 - f**4\/24 - f**3 - 3. Let u(l) be the third derivative of m(l). What is the derivative of u(o) wrt o?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**3 - 5*g**2 - 9*g**2 + 14*g**2.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-950)\/(-70))\/19 + (-2)\/7\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5534100 rounded to the nearest ten thousand?\nAnswer: 5530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-108)\/126)\/((-6)\/1624) and 8.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -5, 2724, 4, 3, 13.\nAnswer: -5, -3, 1, 3, 4, 13, 2724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 6*k + 1. List the prime factors of g(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15931044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 + 7 - 7 - o**2 - 2*o**5 + 9*o**5 - 2*o - 3*o**5 + (-2 + 2 + 2*o**4)*(-o + 0*o + 0*o).\nAnswer: 3*o**5 - o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 17*d**3 - 20*d**2 - 6*d + 11. Let u(x) = 6*x**3 - 7*x**2 - 2*x + 4. Suppose -129*m = 135*m - 295*m + 93. Determine m*z(g) - 8*u(g).\nAnswer: 3*g**3 - 4*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 4*k - 12, 0*s = s - 2*k - 2. Suppose 0 = m + m - s. What is the third derivative of -r**4 + 4*r**m + 10*r**5 - 5*r**5 + r**4 wrt r?\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 106. Let n(b) = b**3 - 4*b**2 - 14*b + 15. Calculate the remainder when 381 is divided by n(i).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30153 is divided by 321?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*q + 9 = -19, 0 = -2*q. Suppose 0 = -3*l + o*l - 20. Suppose -2*f + 56 = l*f. Solve 0*t - z + 22 = -4*t, 0 = -4*z + f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*o - 38 = -0*o, -s = 5*o - 16. Let x = -1 - -1. Suppose 4*u = -2*r + 72, -r + 2*r - 3*u - 16 = x. Solve 0*v + n = v + s, -5*v + 4*n = r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5544)\/(-143) - 36\/(-156). Calculate the greatest common divisor of 611 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 11*x**2 - 12*x - 21. Let o be l(-10). Let u(r) be the third derivative of r**6\/24 + r**5\/30 + r**4\/24 - r**2. Calculate u(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p**2 + 5*p + 4. Let i be r(-2). Let x = -77 - -81. Suppose v = -2*m - m + 51, x*v + 4*m = 228. What is the greatest common factor of v and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -203 and 0.1347.\nAnswer: -27.3441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72632 - 275669 - 450452 = 12354*o - 48143 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**7*u)\/u)\/u**(-1)*u\/(u*u\/((u*u**(2\/3)\/u*u)\/u))*u**3 assuming u is positive.\nAnswer: u**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3147 is divided by 1543.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 8*x**2 + 7*x**2 + (-x + 0 + 0 + 4*x - x - 2*x + 4*x - x - 4*x + (3 - 3 - 1)*(3*x - x - x))*(26*x - 36*x - 1 + 18*x).\nAnswer: -x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4 - 5*f**2 + 17 - 3*f + 2 + 2 wrt f?\nAnswer: -10*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 6*y + 5. Let u be b(0). Solve -2*w - u = -7*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1458505.84 - 1204?\nAnswer: -1459709.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 1\/24*x**4 + 0 + 0*x + 3*x**2 + 0*x**3. Let t(g) be the third derivative of g**4\/24 - g**2. Determine d(t(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 6*s - 18. What is t(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.067701 rounded to 3 decimal places?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + p**3 + 0*p**2)*(-6*p - p + 17 + 6*p) - 20*p**4 - 15*p**4 + p**4.\nAnswer: -35*p**4 + 17*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + -82 + (91 - 6)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 3, -1, 1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r + 6984 = -43*r + v, 0 = -v. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3414880 and 1260.\nAnswer: 30733920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1824799557?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 209*c**2 - 455*c + 51448. What is m(210)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4647604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 329698431 to the power of 1\/2, to the nearest integer?\nAnswer: 18158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.877 + 0.87701213. Round j to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x + 35. Suppose d + 2*j = -4*d + 39, 0 = -4*j + 8. What is the tens digit of c(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40524308 to the power of 1\/2, to the nearest integer?\nAnswer: 6366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 6 - (10 - 3). What is the common denominator of -61\/87 and (-49)\/q + (-8 - (-5 + -3))?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -1063*q**4\/6 - 4*q**3\/3 + q**2. Let m be u(-4). Round m to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 5\/48*m**4 + 2*m**2 + 0 + 1\/30*m**5 + 1\/240*m**6 + 1\/6*m**3 + 0*m. Factor d(t).\nAnswer: (t + 1)**2*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 26.6. Let m(r) = r**2 + 5*r. Let q be m(-4). Which is the closest to 3? (a) n (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196 and 40?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g + 0*g - g + (0 - 1 - 1)*(-3*g + 1 - 1) + 5*g - g - g as l + i*g and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -14\/215, 0.4, -1\/6?\nAnswer: -14\/215","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20169969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*a - 13. Suppose 5*x = -5*d + 320, 2*x = -d + a*d - 73. Suppose 2*j = d + 155. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55 + 114?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0 (c) -4 (d) 2\/13 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**5\/60 - 5*q**4\/24 + 4*q**3\/3 - 8*q**2. What is the remainder when 45 is divided by m(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-164 - 138 + 109)*(-4*d**3 - 5*d**4 + 4*d**3).\nAnswer: 965*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -42*t - 13. Let p(v) = 23*v + 7. Let j(q) = 2*b(q) + 5*p(q). Let s be j(-1). Put 4, s, -1, 1 in descending order.\nAnswer: 4, 1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -18. Let n(m) = m**2 + 16*m - 31. Let k be n(2). What is the closest to b in k, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**5\/60 + a**4\/8 - a**3\/2 + 31*a**2. What is z(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 319 = -0*z + 279 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r**3 - 4*r**2 - 5*r + 5. Let v be z(2). Let s = -22 - -30. Suppose s*k - 1290 = 5*k. What is the highest common divisor of k and v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286017765 divided by 95339255?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/62290 and -81\/62290?\nAnswer: 62290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5\/2 - 22257*y**4\/2 - 534547*y**3\/2 - 4388727*y**2\/2 - 7018191*y - 7219044 = 0.\nAnswer: -9, -4, -2, 22281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from {k: 7, m: 2, a: 3}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 4*y**6\/5 + y**3\/3 - 17*y**2 + 2*y. What is the first derivative of p(d) wrt d?\nAnswer: 96*d**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 + -10.8. Let t = r - -10.7. Let m = -0.5966 + 0.5966. Which is the closest to -0.1? (a) m (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h**5\/13 + 32*h**4\/13 - 22*h**3\/13 - 44*h**2\/13 + 16*h\/13 = 0. What is h?\nAnswer: -1, 0, 1\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31960*b**2 + b**3 + 95911*b**2 - 31977*b**2 - 31974*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -2. Suppose q + v*q = 390. List the prime factors of q.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 7:02 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228 and 8405106?\nAnswer: 16810212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40346466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6)\/(31*288\/(-6696))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**9\/2160 + a**8\/1008 + 4*a**7\/315 + a**6\/45 - 11*a**5\/60 + 8*a**2. Let f(t) be the third derivative of s(t). Factor f(c).\nAnswer: -4*(c - 2)*(c + 1)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*o + 10589006 = 17*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = 2*u - 88. Which is greater: u or 3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*f**2*w - 2*f**2 - f*w + 19422*f + 433*w**2 wrt w.\nAnswer: -23*f**2 - f + 866*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795192153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3282590 and 5735?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3766 = -650*r - 5334 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/(2\/68). Suppose 41 = 4*h - 5*d, -h + b = -5*d - 12. Suppose 4*u - o - h = 9, 3*u - 2*o - 11 = 0. Solve -4*t = 3*q, -7*q + 3*t = -u*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15683 + -15665. Sort 4, 5, k, 1, -5 in increasing order.\nAnswer: -5, 1, 4, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -11*v + 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l. Suppose 5*p + 5 = 3*v, -5 = 5*v - 3*p - 2*p. Let c be b(v). Suppose 0 = s - 2*s + c. Solve 0 = -5*j - 5*x - s, -3*x + 2 = j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -25*z**2 - 2*z. Let a be o(-2). Let j = a + 141. Suppose -9*t = -j - 90. Calculate the remainder when 27 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-1 + 3)*-1. Let r be -3 - (93\/(-21) - k). What is the second biggest value in 0.6, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*v + 1)*(-102*v + 224*v - 110*v) + 2*v**2 - 4*v**2 + v**2 in the form l*v + s*v**2 + w and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -14 + 77. Let x be 382\/6 + 2\/(-3). Calculate the highest common divisor of o and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -315 (base 9) to base 10\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6\/5)\/t)**7\/(t**(-2\/19))**31)**(-7) assuming t is positive.\nAnswer: t**(8071\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w. Suppose 0*c = 2*c - 6. Suppose -5*k + 4 = -c*d, -4*k - k = -5*d. Let q(v) = -4*v**k + 3*v**2 + 3*v**2. What is q(u(x))?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*i = -1781, 4*i + 446 = o + 3*i. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-6)\/2)*-9. Let u be -5*((-52)\/20 + 2). Suppose -2*i - 2*i + r = -22, 3*r - 9 = -u*i. Solve -i - k = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-18)*0)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/594*22)\/((-2)\/3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4758 and 0.3.\nAnswer: -1427.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -15\/91, 1\/6, 2\/15?\nAnswer: -15\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -38, 72, 274, 598, 1074, 1732, 2602?\nAnswer: 3714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 52, 1 in descending order.\nAnswer: 52, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 5*q - 2. Suppose 5*u = 2*u - 12. Let m(w) be the third derivative of -w**6\/60 + w**4\/6 + w**3\/3 - w**2. Give u*v(j) - 5*m(j).\nAnswer: 2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 8*z**2 + 14*z + 15. Let b be h(-6). Suppose 5*w - 5*c = 40, -w - b*c + 25 - 21 = 0. Calculate the remainder when 25 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/11 + 2160*g\/11 - 12888\/11.\nAnswer: -2*(g - 1074)*(g - 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8844847 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 270*r - 300. Determine y(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpp when three letters picked without replacement from {e: 1, q: 2, p: 4, a: 1, t: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14276 by 287.\nAnswer: -14276\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 14375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 343 or 344?\nAnswer: 344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - l. Let z(i) = 13*i**2 + 15*i - 4. Let p(a) = 3*c(a) - z(a). Determine x so that p(x) = 0.\nAnswer: -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38443506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-561)\/(-44))\/(170\/80)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/1196377 and -43\/27516671.\nAnswer: 27516671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57\/8 in -8, -5, -9610, 2\/3, 0.6, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from yckfkyxcm.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 48\/(-84) + 4\/14. What is the third biggest value in 0, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657*c + 1085*c + 56129 = 225*c for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**4\/6 - 5*i**3\/6 + i**2 + i. Let j = -32 + 40. Let m(v) = -6*v**2 - 14*v + 5. Let h = 96 - 99. What is h*m(g) + j*x(g)?\nAnswer: 2*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-3) - (-4)\/(-3). Let i be (-1 + 2)\/(v\/(-4)). Suppose -104 = -4*c + 4*z, i*c - 2*c - 4*z = 48. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22954, 45948, 68942, 91936?\n\"Answer: 22994*h - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -11*d - 9. Let t be 2*(-5)\/(10\/3). Let u(i) = 6*i + 5. Let z(v) = t*g(v) - 5*u(v). What is the first derivative of z(m) wrt m?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-16))\/((-327)\/(-3924))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**4 - 3*k**4 + 2 - k**3 + 2*k**3 + 12*k - 10*k to the form j*k**3 + n + m*k**4 + h*k + o*k**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157015*s**3 - 223771*s.\nAnswer: -942090*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10 and 21.121.\nAnswer: 31.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8*k + 5*k = 27, -2*f + k = -11. Is 0 + 0 + f + 216\/8 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - 17 + 17)*(r**2 + 0*r**2 - 2*r**2).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxjjx. Give prob of sequence xxx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - -9 - 2\/(-1). Does 25 divide (-2)\/o + 3016\/120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/1 + (-42)\/(-14). Solve f*v + t + 12 = 0, -2*v + 5*t + 2 = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 1, -0.4, -6, -0.2.\nAnswer: -6, -0.4, -0.2, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**16))\/(d*d**(-2\/13)) assuming d is positive.\nAnswer: d**(197\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 443 - 1442352?\nAnswer: -1441606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45469696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 723 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2912, 10401, 22882, 40355, 62820, 90277?\nAnswer: 122726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((4\/(-6))\/((-4)\/12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11002100110 (base 3) to base 11\nAnswer: -55492","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -7*l**2\/2 + 25. Let r(a) = -23*a**2. Determine s(r(z)).\nAnswer: 161*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/3 + 16666*w - 208316667 = 0. Calculate w.\nAnswer: 24999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.54 - 0.24. Let b = k - 1.3. Sort b, -1, 3\/5.\nAnswer: -1, b, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 7243c?\nAnswer: 7243b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 962 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + -4 - (-4 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**4\/2 - 32*o**3\/3 - 50*o - 119. Differentiate g(l) with respect to l.\nAnswer: 6*l**2 - 64*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + r**2 + r + 2. What is n(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 832*i - 13264. Calculate g(16).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - d - 25. What are the prime factors of (224\/40)\/((-2)\/d)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 172\/120 - (-4)\/(-24). Let i = 4 - 4. Which is the nearest to g? (a) -3 (b) i (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 10 - 25 = 0. Let x = -5 - r. Let h be x\/(-5) - (-10)\/25. Let z(n) = -n**3 - 6. Calculate z(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f**2 + 53*f - 23. What are the prime factors of a(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, k: 3, x: 9, r: 2, q: 1}. What is prob of sequence qk?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7348212 < -7348205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*c**2 - 190*c**2 + 164548614 - 164548614.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 151827306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3076\/(-420) - 2\/(-15) - (-7)\/1\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 t when four letters picked without replacement from tttttttnttttttttnttt.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -53 + -32?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, y: 1, u: 3, c: 1, m: 2, x: 1}. What is prob of sequence mu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5 - 1.5. Suppose 3*o + 1 - 14 = -5*m, o = 3*m - 19. Let q be o\/14 - 40\/(-42). Which is the third biggest value? (a) q (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + 0*v**3 + 4*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -182 - -416. Suppose 3*j = -18 + y. Calculate the greatest common divisor of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 18 - 65*a**3 - 6*a**2 - 7 + 66*a**3 + 2*a. Let k be i(5). Does 5 divide ((-30)\/4 - k)*(0 - 10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 27.250923 months?\nAnswer: 0.00227091025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-588)\/(-48) - 12) + 70\/8. Let u(r) = r - 9. Determine u(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-33) - 26\/22\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 2*o + 948 - 953, -11 = -3*w - 2*o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-11.7.\nAnswer: 70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w - 22*w = 35 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yygg when four letters picked without replacement from {g: 4, y: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1*h)\/h)**(28\/5)*(h\/h**(8\/7))\/((h*(h*h**12\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(-194\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 6*f + 60 = 0, 747*n + 4 = 751*n + 3*f + 29 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = 11*v - 53*v + 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 439022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 4*d + 4. Let w be h(4). Suppose -2*g - 4 = -3*t, g + 25 = -w*g. Let a = -2 + 7. Sort 24, t, a.\nAnswer: t, a, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 1 = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5118702?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*i - 61 - 7*i + 29*i + 19*i to the form n*i + o and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*s = -9*m + 50, -s - 2 = 0. Calculate the least common multiple of 9 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 783819\/453530 - -2\/6479. Find the common denominator of q and 157\/330.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 8. Let v(z) = 4*z - 4. Let d be v(3). Let m = d - 14. What is y(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 9. Let r(x) = x**2 - x. Let f be r(1). Is b(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -2\/3, 27, 2\/5 in descending order.\nAnswer: 27, 2\/5, 0.06, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -4265223?\nAnswer: -4265215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(288))\/sqrt(12))\/sqrt(8).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((93\/10)\/31)\/((-2)\/(-10)). What is the nearest to -2\/3 in 1, -0.5, 0, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1088 and 34624.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/(-135) + 2 + (-12)\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11034*b - 11041*b - 14 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(208)*-1)**2 + 3 + (sqrt(208) - (0 + -2 + sqrt(208))) + sqrt(208)).\nAnswer: -852 - 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541 is divided by 222.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 78\/35?\nAnswer: 78\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1204 = -528*f + 614*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**5 - 2829*u**4 + 996219*u**3 - 155171463*u**2 + 9013553070*u = 0. Calculate u.\nAnswer: 0, 190, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -86336 and -86335 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 13 = -2*a, -2*a - 2*p = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0836 + -975.0836. Let w = -975.000000311 - s. What is w rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*c + 45*c = 3*r + 72, -c + 5 = -4*r. Calculate the remainder when 1257 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1400982596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*r + 128*r + 9*r - 53*r + 66*r to k + m*r and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 608 and 125096.\nAnswer: 500384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9950 and 19900?\nAnswer: 19900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3696630703 and 577.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14162 take away -0.4?\nAnswer: -14161.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -518630 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 11858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52623 is divided by 6530?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n + 49. What is w(11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74040145 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-2736))\/(38\/(-7600)*25).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5745)\/20682*(-1 + 2\/10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -ee8ae?\nAnswer: -ee8ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 25*i + 1900. Let s be d(-76). Put -207, s, -4 in decreasing order.\nAnswer: s, -4, -207","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-240))\/((-1)\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -218*a*g*o + 3742936*a*g + 51*a*o**2 + 7*a*o wrt o?\nAnswer: -218*a*g + 102*a*o + 7*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x - 4. Let i = 41 + -14. Let b = i - 20. What is the tens digit of d(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {t: 2, i: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.6 - -10. Let h = 3 - 2. Sort n, -3\/7, h in ascending order.\nAnswer: -3\/7, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2031\/(-6))\/(2\/(-4)). Let h = s + -390. Let n be -123*8\/144*-6. What is the highest common divisor of n and h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4344704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/3, 229, 4 in descending order.\nAnswer: 229, 4, -0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/7*u + 11\/7*u**2 - 2\/7.\nAnswer: (u + 1)*(11*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 21 = -2*r - 27, -r + 8 = 4*f. Solve -5*s + f - 22 = -y, -s - 18 = -3*y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*k - 68 = 87, -m = -k + 155. What is m rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2485 divide 35018620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeeoeee. Give prob of sequence eoe.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c\/((c**(2\/5)\/c)\/c)))**8*(c**(-1\/2))**34 assuming c is positive.\nAnswer: c**(-229\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -2901 and -2853 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/4*(-5)\/1. Suppose -i*u - 1 + 11 = 0. Let g = 32 - u. What is the remainder when 59 is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j**2 + 41 + 7*j + 37 - 5 + 17*j - 8*j**2. Let a be m(-7). Solve -n + 15 = a*n - x, 0 = 3*x + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (140\/630)\/(3\/81). Sort -4, t, -1, -2 in ascending order.\nAnswer: -4, -2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 65 + 72 = 5*a, 3*a = 4*q + 73. Calculate the remainder when 780 is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -11*l**3 + 222*l**2 - 54*l + 29. Give p(20).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/21 (b) -8 (c) 157 (d) 4 (e) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -269, -1063, -2383, -4229, -6601, -9499, -12923?\n\"Answer: -263*v**2 - 5*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -3 (c) 1\/5 (d) 2\/187 (e) 1\/3 (f) -1\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(14) - sqrt(224))\/sqrt(7)) + -3 + sqrt(18).\nAnswer: -3 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -17 - -3 - (-305 - -316)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 180\/100*20\/6. Let z = 20 - 14. Let y = 3 - z. What is the smallest value in -0.1, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -545*i**2 - 143*i + 2419. What is u(2)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -27. Let x = t - -18. Let k be (-22)\/(-33)*(1 + x). Solve -2*f + k = -4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41529841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12856 is divided by 4203.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, -151\/4, 4\/7385?\nAnswer: 4\/7385","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 r when three letters picked without replacement from rxfrfxkrkfkfkr.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 + 38.593.\nAnswer: 38.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -73 + 18?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + 4*g - 3*g)*(-4*g - 2*g + 2*g**2 + 5*g) + 3902*g + 562*g**3 - 3902*g as j*g + c + r*g**2 + z*g**3 and give z.\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*sqrt(700)*-5 + -2*(1 + sqrt(700)) + sqrt(700)*2 + -2)**2.\nAnswer: 400*sqrt(7) + 17516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 7*u**2 + 4*u - 1. Suppose -4 = -2*i + 3*i. Is y(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b + 55. Is 17 a factor of y(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 1\/2 (c) 3\/7 (d) 306\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -290, 2\/9, 0.4, 3, 61\/6, -8 in descending order.\nAnswer: 61\/6, 3, 0.4, 2\/9, -8, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(-1567*s**2 - 1860*s**2 + 208*s**2 + 771*s**2 - 2050*s**2).\nAnswer: 13494*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 6. Let s be f(0). Solve -4*r = 2*j - 2, 3*r = 2*j - s - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -206 - -362. What is the second derivative of 83*v**5 - 97*v**5 - 148*v + 99*v**5 + g*v**5 wrt v?\nAnswer: 4820*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213237 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + 4*g + 8*g - 29*g + 7*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 48, 103, 178?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -35. Let q(c) = -c**3 + 9*c**2 - c - 4. Let v be q(z). Suppose 9 + v = 9*i. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55303.38mm in centimeters?\nAnswer: 5530.338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 769311?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 26028.\nAnswer: 26028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 97.53231ng?\nAnswer: 0.00009753231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 155.1 - 17.1. Let z = r - 137.1. What is the third smallest value in -0.4, z, 2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (14 - 18 - 1) - (2 - -1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a4 - 2896?\nAnswer: -296a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 259743409 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59692 and 4?\nAnswer: 59692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 9 - 13 = 0. Solve -5*t - u = -1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 6*f = 33 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 9. Let a be k(4). Suppose -a*b = -6427 + 1482. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(4\/5)\/y)\/(y*y**(2\/17))*(y\/(y*(y\/(y**(-2\/19)*y))\/y*y))\/y**(-2\/7) assuming y is positive.\nAnswer: y**(9754\/11305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -1 - -4)*(-812)\/(-84). Calculate the highest common divisor of 87 and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from kkmqkkmbrhbkq?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2*w = -46, -5*w + 40 = 2*s - 7*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 11:21 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(2\/3))**(-13)\/(c*c**2*c**(-5)) assuming c is positive.\nAnswer: c**(-98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310203 + -13?\nAnswer: -310222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2040563994.468 and 9.\nAnswer: 2040564003.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 24. Calculate the greatest common divisor of 65 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 20*p - 4*a + 50, -4*p - 3 = -a. Let w(r) = -2*r**2 + 2 + 0*r - 4 - 3*r. What is w(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {f: 6, a: 1, x: 1, r: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.08, 5, -0.2, -3\/2, -32?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = c + 15, 0*w = -3*w - 12. Let t = -827 + 642. Let i be c + t + 1 + 0. Round i to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**6\/120 + z**5\/5 + z**4\/12 + 14*z**3\/3 + 2*z**2. Let u be a(-12). Let s = -9 + 5. Put s, 2, u in descending order.\nAnswer: u, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*i = -101*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -46 (b) 2 (c) 3 (d) 15 (e) -1.43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 697\/1232 - 43\/112. What is the smallest value in 2\/3, -3, -2, t, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-5) + 13279\/35.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/3 + 740*p**2\/3 - 1468*p.\nAnswer: -p*(p - 734)*(p - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22953925 and 5.\nAnswer: 22953925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-30)\/o**(-12) assuming o is positive.\nAnswer: o**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 12*k = 7*k + 45, 5*y = 4*k + 9. Solve -y*s + 4*s + 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20748004 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6468 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + 9\/(45\/(-25)). Solve -d*b = -12*b - 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1547 - -1647. What is the least common multiple of 40 and t?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -7b848?\nAnswer: 7b84a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 1\/12*t**4 - 1\/2*t**3 + 0 + 19*t - 7\/2*t**2. Suppose y = -2*q + 11, 4*q - 7*q + 19 = 2*y. What is g(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1056474 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**2 + 7*n + 6. Let q(y) = 6*y**2 + 7*y + 6. Let z(w) = -5*l(w) + 4*q(w). Let j be z(-5). What is the tens digit of 11\/22 + 194\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 877*n**5 - 92*n**4 + 351*n**3 + 137469975*n**2 + 1 wrt n?\nAnswer: 52620*n**2 - 2208*n + 2106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -47. Let p be -2*((-4)\/8 + x) + 1. Solve p = u + 2 - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 122*n - 2*n**3 - 115*n + 3*n**3 + 5*n**2. Let k be s(-6). What are the prime factors of 3282\/39 - 3\/k*-4?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by 6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7784 plus -62.4?\nAnswer: -7846.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*t + 99*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -27458+0.2\nAnswer: -27457.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + l**2 - 2*l)*(2*l + l**2 - 2*l) + 10942*l**2 - 3501*l**2 - 3545*l**2 - 31*l**4 - 3525*l**2 as p*l**2 + u*l + y*l**3 + c + k*l**4 and give p.\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73.68 - -4.32. Let p = 69 + -148. Let a = x + p. Sort a, -2, 5 in increasing order.\nAnswer: -2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 7) to base 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15\/315*357*1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1037, 3235, 5223, 5627, 3073, -3813, -16405, -36077?\nAnswer: -64203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1090719 by -3.\nAnswer: 363573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o = 4*o + 147 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, s: 9}. Give prob of sequence xss.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 462105820 divided by -55?\nAnswer: -8401924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 795389 - 0.381364\nAnswer: 795388.618636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/536 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 145969 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 19933 - 20069 = 3*f, 4*c = 8*f + 92 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**3 - 135*h**2 + 105*h - 6. Let m be s(-28). What is the highest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(50 - 20 + 26)*(1 + s - 1).\nAnswer: -56*s","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65248075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21076, 42151, 63226, 84301, 105376, 126451?\nAnswer: 147526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.015 (b) 4 (c) -0.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16575618 is divided by 4827?\nAnswer: 4527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 9*f - 37. Determine g(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1.1. Suppose 4*u - 4*t - 4 = 0, t - 1 = 5*u + 2*t. Which is the third smallest value? (a) u (b) z (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 12. Let l = b - 2.6. Suppose 2*r + 12 + 1 = -3*o, 5*r - 3*o = 20. What is the nearest to r in -2, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 381*r**4 - 1 + 109*r**4 + 509*r**4 + 48*r + 0 - 531*r**6 + 528*r**6 + 12*r**2 wrt r.\nAnswer: -360*r**3 + 23976*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18150 + 7*k**3 + 0*k**3 + k**3 - 18153 - 4*k**2 to a*k + n + p*k**2 + i*k**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a. Let t(g) = -3*g**2. Let x = 35 + -25. Let r(i) = x*i**2 + 10 - 10. Let j(f) = 2*r(f) + 7*t(f). What is j(v(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16771, 47573, 98909, 170779?\n\"Answer: 10267*h**2 + h + 6503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t**2 - 4*t + 5. Let x be i(5). Sort x, -1, -4.\nAnswer: -4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -30 + 28 - (-3)\/2. Let p = -0.2 + 0.1. Which is the closest to p? (a) 3 (b) w (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*v**2 - 3 - 3*v - 10*v**2 - 9*v**2 + (0*v + 0*v - 2*v)*(2*v + v - 4*v) - v**2 + 5*v - 5*v - 2*v**2 + 1 - 1 in the form s*v**2 + o*v + k and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v**2 - 7*v - 32. Let s(n) = 14*n**2 + 21*n + 97. Let d(a) = -3*s(a) - 8*w(a). Let r(z) be the first derivative of d(z). Give r(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 - 1. Let g be m(-3). Suppose 20*p = g*p - 6. Let r be 4 - (4 + 2 + p). Solve o - 6*o + 10 = r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**5\/5 + 4*a**4\/3 - 16*a. Find b such that n(b) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 - (12 - 7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10764.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -28*2\/(-6)*(-39)\/(-52). Suppose 6*n - 2*p = n + 276, 2*n - 5*p - 102 = 0. What is the greatest common factor of n and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.139732791 to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q - 2 + 19*q + 31*q + 0 to o*q + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(1331)*-2*4*1 - (sqrt(1331) + -3*sqrt(1331))*5*-5) + 4)**2.\nAnswer: -5104*sqrt(11) + 4477504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5 + 56*n**4 + 114*n**3 - 900*n**2 = 0. Calculate n.\nAnswer: -25, -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-7)*d))\/d*d)\/(d**5\/d*d) assuming d is positive.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 447375 and 375?\nAnswer: 447375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**3 + 2*p - 1. Let x be g(1). Suppose 13 = z + x*y, 2*z + 4*y - 10 = 10. Let k be z\/(-10)*(-275)\/(-10). Does k = -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3080)\/(-66)*180\/(-120).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -17. Let m = -2.8554 + -0.1446. What is the second smallest value in m, 3\/4, 4, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 111471008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -z + 3*l, 2*z = -2*z - 3*l + 36. List the prime factors of (150\/z + -2)*(-2070)\/(-20).\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 224\/(-140) - (-3)\/5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2.7, 4, 5, -2\/19.\nAnswer: -2.7, -0.4, -2\/19, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2 + 0 + 0*i + 1\/6*i**3 = 0 for i.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4) - 486\/828. What is the third smallest value in 1, -4, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l + 6 = 0. Let q = l + 5. Let j = 3 - q. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-3))\/(8\/(640\/15)). Suppose -5*g = 3*g - n. Solve g = 3*t - 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19805 is divided by 2883?\nAnswer: 2507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*u - 7*u = 6062080. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a**4 + 8*a**3 + 4*a**2\/3 - 8*a\/3 - 2\/3 = 0. What is a?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -970, -1327, -1980, -2977, -4366, -6195?\nAnswer: -8512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**6\/10 - 3*d**2\/2 + 4*d - 5. Let q(f) be the first derivative of h(f). Differentiate q(t) wrt t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*u + 60*u - 14 = -2*z, 0 = -4*z - 3*u + 46 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14909, 14913, 14917?\n\"Answer: 4*a + 14905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 23014703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9d (base 16) to base 12\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 5:27 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(1\/2)*k)**(22\/3))**(3\/14))**(3\/23) assuming k is positive.\nAnswer: k**(165\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0027863 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcpyg. Give prob of picking 1 g and 2 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 598 - 712 = 0. Solve -6*i + a = -11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 8*b**2 + 9*b - 11. Let p be j(7). Suppose 3*y = -p*y - 48. Let n(w) = w**3 + 10*w**2 + 10*w + 3. Is n(y) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 84*k**2 + 90*k - 784. What are the prime factors of h(25)?\nAnswer: 2, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.294 - 822.294. Let z = i - -822.000581. Round z to five decimal places.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 930, 1802, 2674?\nAnswer: 3546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31477 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 + 16.9. Let x = c - 9. Let l = x + -6.9. What is the third biggest value in -4, -1, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13791027?\nAnswer: 3, 167, 27527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.34 + -6.343089. Round y to 4 decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1672\/2508)\/((-5)\/((-570)\/(-4)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgdg when four letters picked without replacement from ggddg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14682 times 1.3\nAnswer: 19086.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 47946730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 3*g + 0*g)*(1 - 1 - g**2) - 3*g**3 + 4*g - 4*g + 0*g**3 + g**3 + g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51\/829 in -2\/7, 0.2, -5, 0.1, 1213, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/23)*c)**(-6\/13)*c**(9\/8)\/((c**(-7\/2)*c)\/c*c))**(1\/53) assuming c is positive.\nAnswer: c**(7519\/126776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 3*a + 2*a + (-3 + 5 + 0)*(0*a + 0*a - a) + a - 1 + 1 + a - 5*a - 6*a)*(0*a + 0*a - 2*a).\nAnswer: 26*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.33 rounded to 1 decimal place?\nAnswer: -26.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(2\/7)\/((-24)\/(-42)). Solve f*m - 4*w + 8 = 0, 3*m + 3*w - 27 = -0*w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 298 = 5*a + 87, -35*o = -3*a - 30*o - 391 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d - 12 = -6*d + g, 4*d + 32 = -4*g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 40.081. Let a = z - -6.719. What is a rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256 plus -3784740927?\nAnswer: -3784740671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a week in minutes?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 157*j**2 + 442*j + 20472. What is z(-155)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 4*h - 16)*(-h**2 + h**2 - 4*h**2) - 17*h**3 + 8*h**3 - 7 - 6*h**3 in the form k*h**2 + v*h**3 + a*h + p and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 46441.77s?\nAnswer: 46441770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 774 = -49*c. Solve 5*w = -f + 21, 11*f - 3*w + 17 = c*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 3*g**3 + 3*g**3 - 9*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 800473800 by -1905890.\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 3. Suppose -3*v = -i - 3. What is the tens digit of 44\/12*(v - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 853844.2l?\nAnswer: 853844200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/66 and 29\/10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67786 and -2.\nAnswer: -135572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j = 5*s + 125, -j + 2*s = -28. Let m = 13 + -11. Suppose -m*o + 110 = -o. What is the highest common divisor of j and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -4 + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4446 - -5012. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 15*c + 22. Suppose -5*l + 0*l = -10. Let u(n) = 16*n + 21. Let j(x) = l*w(x) - 3*u(x). What is the first derivative of j(k) wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(4\/(-15082))*2.\nAnswer: 2, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 86, 118, 148, 158, 130, 46, -112, -362?\n\"Answer: -3*w**3 + 17*w**2 + 2*w + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20*(-1)\/(-5)*22. Suppose 11*f - 10*f = 11. Calculate the highest common factor of w and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/1*1\/(-2). Let d(c) be the first derivative of 4\/3*c**3 + c**2 + u*c + 1\/2*c**4 - 1. Let d(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/((-891)\/90) + (-2 - 2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813 a factor of 84275492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/4)*s)\/s*s*s\/s**(-2\/15))**(-43) assuming s is positive.\nAnswer: s**(-4859\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*j**3 + 14973*j - 7514*j - 7493*j to k*j**2 + q*j + w + f*j**3 and give f.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3240559?\nAnswer: 7, 462937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.234669 rounded to one decimal place?\nAnswer: 19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 26386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2033*o**2 - 1033*o?\nAnswer: -4066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/8 - -4)*44\/33.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 + 1166*a**2 - 14334*a - 32159. Give u(-595).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 326166732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from {f: 8, z: 2, i: 1, c: 1, o: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from jdadxkxaddx.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than or equal to -370866?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**6\/12 + 29*y**5\/60 + 161*y**4\/8 - y**3\/3 + 3240*y**2. Find the second derivative of a(l) wrt l.\nAnswer: 60*l + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1915 and 119\/1590.\nAnswer: 608970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 9:18 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**6\/120 + 3*a**5\/20 - a**4\/4 - 5*a**3\/6 + 3*a**2. What is the remainder when 31 is divided by k(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.01, 5\/4, -1, -5, -1\/3.\nAnswer: -5, -1, -1\/3, -0.01, 5\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -63. Is o at most 1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 - 1395*w\/2 - 2284054.\nAnswer: (w - 4724)*(w + 1934)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*t - 10 = v, -4 = -t. Suppose -v*x - 36 = -3*x. Is 29 a factor of 8\/x + 1 + 292\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2892248 to the nearest integer?\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 12*i - 15. Let k(u) = -u**3 + 4*u**2 + 2*u - 3. What is k(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 8:57 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h**3 - 386*h**2 - 76*h + 34. Determine n(-77).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 62.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 0 + (-726678)\/(-44). Let w = -16510 + g. Find the common denominator of -53\/6 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1693 - 1250. Calculate the remainder when d is divided by 216.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2 = 7. Suppose -f + 11 = -3*r, -5*r = -4*f + 36 - 6. Are f and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/27 and 139\/25344060.\nAnswer: 228096540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.434 - 23.434. Which is the second smallest value? (a) 3\/5 (b) v (c) 0.5 (d) 5 (e) 4.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmlmmmmllmllmlll. Give prob of sequence mmlm.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 - 48 - 3*u + 86 - 36 + 2 + 3*u**2 - 2 + 0*u**2 - 2*u**2 + 3*u**2 + u - u - u**2 + (0 + 2*u + 0)*(-3 + u + 3) + 7*u**2 - 26*u + 26*u.\nAnswer: 11*u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 265400000 rounded to the nearest 1000000?\nAnswer: 265000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 265872058109 and 134.\nAnswer: 265872058243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.3 - 8. Let z = 694.3 + -697.3. Which is the nearest to 0.2? (a) g (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/280 and -43\/1410024.\nAnswer: 7050120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/9)*f*(((f\/(f**(-1\/2)\/f)*f)\/f)\/f)\/f)**(-38))**(-16) assuming f is positive.\nAnswer: f**(6992\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3447627 nanometers in micrometers?\nAnswer: 0.0003447627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6c8a3a (base 13) to base 8\nAnswer: -11702155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -5*b**8\/336 + b**7\/42 + b**2\/2 + 7*b. Let y(m) be the first derivative of n(m). Find o, given that y(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 838.\nAnswer: 1\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801831 is divided by 801217?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -273 + 274. What is the closest to -5 in q, -5\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/8 - 21454327*h\/4 + 460288147022929\/8.\nAnswer: (h - 21454327)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {y: 8, c: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 3*j**2 - 2*j + 5. Suppose 0*k - 4*k - 56 = 0. Let i be (8\/k)\/(21\/(-147)). Give q(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 0.19 (c) -2\/9 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 17*u - 147. Let m be o(11). Solve -3*n - 5*w + 0*w = -m, 0 = 4*n + 4*w - 40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122030 (base 4) to base 15\nAnswer: -76b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1596*q**3 - 800*q**3 - 799*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 5924.\nAnswer: 29620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 42*m = -46*m + 8, 3*x + 5*m - 21 = 0. Let k be -1 - (-27)\/7 - x\/(-14). Let t(w) = -2*w**2. Let o(c) = c**2. Determine k*t(v) - 3*o(v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 3.0667109\nAnswer: 0.92001327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -60. Suppose n - 4*y - c = 15, 5*y = -4*n + 23. What is the lowest common multiple of n and 38?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 4444?\nAnswer: -1777.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.7, 0.34, 0.1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*d**3*g**2 + 104*d**2*g**3 + 3*g**3 - 47*g**2 - 4 wrt d?\nAnswer: -33*d**2*g**2 + 208*d*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 + 7*m + 2. Let a(d) = -d**2. Let z(k) = -2*a(k) - x(k). Let w be z(-6). Solve -w*p - 8 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105609 = 1113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 1)*(0*u + 0*u + 5*u**3)*(-3*u**2 - 6 + 6).\nAnswer: -60*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*p = 7767, 5*k + 5*p - 8*p = 12945. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-849)\/(-24) + 6\/(-16). What is the greatest common factor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t + 5292 = 76*t + 3*t. Solve -28 = -2*o + 5*w, 5*o - 46*w + t*w = 36 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*p - 21*p - 1661 - 500 - 2799 = 0 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 515256*x**2 - x - 515249*x**2 + 6 as w*x + h + d*x**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/2 - ((-17 - -1) + -4). Let z = -46 + y. Let g = z + 25. Is 1\/10 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*z + 7*z + 12*z)*(-2 + 0 + 0)*(4*z + 0*z - z).\nAnswer: -54*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 4:38 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnxh when four letters picked without replacement from {x: 3, n: 4, h: 5, l: 7}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**14*c)\/c)**(-5\/2)\/((c\/c**(-17\/3))\/c)**(-2\/37))**5 assuming c is positive.\nAnswer: c**(-19255\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -60, -99, -144?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 w, and 1 q when four letters picked without replacement from gqgwyayyqqyqdqywyaa?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*q**2*s + 11*q*s - 24*s with respect to q.\nAnswer: 6*q*s + 11*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**19))\/(b*b\/((b**(15\/8)\/b)\/b*b))*(b**(7\/4))**43 assuming b is positive.\nAnswer: b**(745\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4553*l**5 - 4798*l**5 + 2*l**3 - 2*l**3 + (-2*l + 3*l + l)*(0*l**4 + l**4 + 2*l**4).\nAnswer: -239*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -592493 - 0?\nAnswer: -592493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0725240998 rounded to 5 decimal places?\nAnswer: 0.07252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1 + 4 = 0. Do j and 3\/47 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2345 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000821635076 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -148 * -10474.\nAnswer: 1550152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-300)\/1584 + 57\/2508.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16495890?\nAnswer: 2, 3, 5, 549863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4237 - 2895. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -37, -3, 0, 1, 0.239, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -110290900 rounded to the nearest one hundred thousand?\nAnswer: -110300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9790774241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 18*m**3 + 71*m**2 - 6*m - 7. Give l(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 32*d**2 + 2*d - 55. List the prime factors of t(7).\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**16\/n**6*(n**(-1\/6))**(4\/19) assuming n is positive.\nAnswer: n**(568\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3*b + 6)*(0*b + b - 4*b).\nAnswer: -9*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s**3 + 5*s + 5. Let o(d) = -2*d**3 - 3*d - 3. Let p be 16 + -9 + -3 + 0 - 1. Determine p*u(c) + 5*o(c).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 672 and 84.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-16)*(-32)\/(-6).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert dbfe8 (base 16) to base 7.\nAnswer: 10442050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 4*m + 1. Let g be a(4). Let i(c) = 3*c**3 + c**2 - 2*c + 1. Suppose 0 = 50*y - 48*y - 8. Calculate the remainder when y is divided by i(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -390? (a) 1\/9 (b) 1 (c) 1\/4 (d) -272\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 1:01 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-91) - 6\/((-1428)\/110)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 0*u**2 + 1\/6*u**4 + 0*u**3 - 1\/10*u**5 + 0 - 4*u - 2\/15*u**6. Suppose g(m) = 0. Calculate m.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 683 (base 9) to base 7.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -460, 1, -126, -1, -5.\nAnswer: -460, -126, -5, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 less than -159488728?\nAnswer: -159488742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-175) + (3 - (-120)\/(-50))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8635 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 + 5 - 25*t**2 - 29*t**2 - 2 + 76*t**2.\nAnswer: 6*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*s + 113*s = -425 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/18)\/(((-1)\/24)\/(10\/8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 373 - (0 - (-10 + 4)). Let v = 628 - s. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-3) - 0\/1. Let g(l) = 10*l - 3*l - 4*l - r. Let u(y) = y**2 + 4*y. Let s be 9\/((-3)\/1 - 36\/(-6)). What is s*g(f) - 2*u(f)?\nAnswer: -2*f**2 + f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0503 in -9, -0.23, 2?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 150, 289, 428?\n\"Answer: 139*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 363 + -1432?\nAnswer: -10be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2906*i**2 + 12*i - 1. What is the tens digit of k(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -2. Solve w + 6 = 2*m + 3*j, -4*m + 12 = -4*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 119294908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(2 + (-14)\/(-6)). Suppose n*m = 7*m + 72. Suppose -4*z + m = v - 2*v, -4*v - z - 14 = 0. Put 11, 5, v, 2 in descending order.\nAnswer: 11, 5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {z: 4, n: 8, a: 2}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4191723 and 4?\nAnswer: 16766892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + m + 1. Let b be l(5). Let t = -13 - b. Suppose 0*i + 3*i = t. Solve -1 = -y + i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 minus -2760225980?\nAnswer: 2760225757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 16) to base 2.\nAnswer: -110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -16. Suppose -u + 5*u + 20 = -5*m, 5*m - s = -u. Sort u, -4, 3 in descending order.\nAnswer: 3, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-1434)\/(-117) + 50\/(22100\/34))*-12.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, n: 12}. What is prob of picking 2 m and 2 n?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5267633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g + 26. Calculate the remainder when g is divided by (3\/(-4))\/(3 - 174\/56).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 596 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 7 = 2*y - 8*q, y + 19 = -3*q. Sort y, -2, -817 in descending order.\nAnswer: -2, y, -817","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 245404 and 380.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3257 - 2456 + 1265*s**2 - 1455*s**2 - 2543*s**2 wrt s.\nAnswer: -5466*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*g - 8*g - 280. Suppose 0 = -32*b + 33*b - g. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031300 (base 8) in base 13?\nAnswer: -15a723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3435981*p - 3435947*p - 3.\nAnswer: 34*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 6. Suppose 0 = -z - z + 5*a - 21, -i*z + 2*a - 2 = 0. Solve 2 + 4 = -z*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 32, -2, 0.4, 1\/4, -11198?\nAnswer: -11198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1 + k + k**2 + k**2 - 1 - 2*k. Let c(d) = 3*d**2 - 3*d - 4. Let x(b) = 3*c(b) - 5*i(b). Determine x(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/25, -1\/6, 1, -6 in ascending order.\nAnswer: -6, -1\/6, -3\/25, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 36*s - 108. Is r(-22) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -19*k - 98. Let w be u(-6). Solve -19*x = -w*x, 4*m - 5*x - 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 - 2*c**4 + c**4 + (4 - 4 + c**2)*(-3*c - 2*c**2 + 3*c) - 21187 + 21187 + 276*c**4.\nAnswer: 272*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3858, -14921, -33360, -59175, -92366?\nAnswer: -132933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -92, -113, -132, -143?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -5*j + 14, 2*s = 4*s - 3*j + 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 4*k**2 - 4*k - 2. Give t(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 2. Let p(m) = -6*m - 15. Suppose 10*b - b = 18. Suppose b + 13 = -5*x. Let o be p(x). Calculate z(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)\/y*y)**43\/(y*y**(2\/13)*y*y**(-2\/13)*y) assuming y is positive.\nAnswer: y**(-89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 - 8*y + 6. Let x(q) = 6*q**2 - 17*q + 13. Let l(o) = o**2 - 9*o + 2. Let j = 156 - 148. Let m be l(j). Give m*x(t) + 13*n(t).\nAnswer: 3*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llbl when four letters picked without replacement from llblllllllllllblllll?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23448 - -70346\/3. Which is the closest to q? (a) 308 (b) 2\/3 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 63, 310, 719, 1290, 2023, 2918, 3975?\n\"Answer: 81*o**2 + 4*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 4. Let z = 0 + x. Which is the second smallest value? (a) 2\/13 (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 21992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/1 - (-1 + 2). Suppose -5*j + 5*b + 30 = 0, -6*j + 5*j = b + 2. Solve -4*m + j = -5*d + 12, -h*m - 4*d = -8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 0*g - 5\/6*g**4 - 1\/30*g**6 + 0*g**5 + 20*g**2 + 0 + 0*g**3. What is the second derivative of k(n) wrt n?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*w - 1938 = -519*w - 288*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -56\/47?\nAnswer: -56\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6726976403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -260*f**2*r**3 + 549*f**2*r - 331*f*r**3 - 91*f wrt r?\nAnswer: -1560*f**2*r - 1986*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.4057181mm?\nAnswer: 0.0004057181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-5)\/(34\/((-918)\/135))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q + 1. Let k be 3*(0 - (-4)\/3). Let d(p) = 33*p - 73*p + 32*p - 3. Let t(l) = k*d(l) + 9*z(l). Differentiate t(h) with respect to h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1295 and 0.212.\nAnswer: 0.0825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3590, 3665, 3820, 4079, 4466, 5005?\n\"Answer: 4*a**3 + 16*a**2 - a + 3571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-213)\/(-15) - (-4)\/(-20). Let j(k) = 2*k**2 - 5*k + 3. Let d be j(3). Solve 0 = -d*b - g - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from {q: 2, e: 7, r: 5}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3*l)**(3\/13)\/(l\/(l\/(l**(-14\/9)*l)))**2)**(-27) assuming l is positive.\nAnswer: l**(-714\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 0 - 7*a - 1\/5*a**2 + 1\/30*a**4 + 0*a**3. Let l(m) = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 7*o**3\/6 - o. Let f be z(17). Suppose -2*b = 5*b - f. Solve 5*i + 5 = 5*j, 5*i = -2*j + 13 + b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) -8 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, 0.5, 3, 2\/11 in decreasing order.\nAnswer: 3, 2, 0.5, 2\/11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*m - 83*m + 8*m + (-2 - 2 + 1)*((-3*m + 3*m + 3*m)*(-4 + 3 - 1) - m + 0*m - m) + 6*m - m - 7*m.\nAnswer: -78*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5477346us to nanoseconds.\nAnswer: 547.7346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from cvzxgxvhvzczxzzgzxvc.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1. Let h = 44 - 50. Let w(x) = x + 6. Let q(j) = h*z(j) - w(j). Let d(o) = -8*o. What is d(q(t))?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 7.7. Let a = -0.0907 - -5.0907. Sort 2\/9, d, a, 0.4 in descending order.\nAnswer: a, 0.4, d, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + sqrt(10) + (sqrt(90)*2)\/sqrt(9))\/sqrt(5) - (-4 + (sqrt(2) - -1*(sqrt(6)\/sqrt(3) - sqrt(2)))**2).\nAnswer: 2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 5, i: 5}. Give prob of sequence ij.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -715*o + 721*o - 144 = 0. Let h(d) = d**2. Let v(z) = 6*z**2. Let l(a) = o*h(a) - 5*v(a). Let n(x) = -x**2 + 0*x**2 + 0*x**2. What is n(l(i))?\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2556\/(-3060) - 6\/(-10). Which is the nearest to h? (a) 0 (b) -2 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + sqrt(95)\/sqrt(5))**2 + (sqrt(1900) - (sqrt(1900)*-1 + -1)).\nAnswer: 26 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 131 - 128. Let 156\/5*w**l - 44\/5*w + 8\/5 + 108\/5*w**4 - 4\/5*w**2 = 0. What is w?\nAnswer: -1, 2\/9, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/90*((-891)\/(-110))\/9?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91101414 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 - 13*p + 1. Calculate r(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -968749*f**2 + 6*f + 8. Let u be -3 + (-1 - 2 - -2). Let n be j(u). Round n to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + s = -4 - 56, 3*u - 36 = 2*s. Let y = u - 8. Suppose 5*a + y*x = 5*x + 34, -40 = -5*a - 5*x. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05254 * -0.2\nAnswer: 0.010508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56279, -54516, -49707, -40328, -24855, -1764, 30469, 73368?\nAnswer: 128457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 210 = 822. What is the remainder when 313 is divided by k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/((-1408)\/20)*4?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*8\/(-84) + 2640\/(-1050) - -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 7:41 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 - 10 + 75 + 16*v.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-6))\/(15\/6). Does 42 divide 186\/310 - (1194\/(-10) + l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + s - s + (3 + 1 - 2)*(0 + s + 0) + (5 - 2 - 1)*(-1 + 2*s + 1) - 2*s - s + s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 37*u**2 - 73*u**2 + 38*u**2. Let l(b) = -12*b + 2. Let k(x) = 1. Let q(o) = 2*k(o) - l(o). Give q(w(s)).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1803 + 1808. Calculate the greatest common divisor of 405 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*k + 16. Suppose k*z - 3*r + 9 = 30, -5*r + 5 = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(9)\/sqrt(3)) - sqrt(192)*1.\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 537 + -571. Let m(r) = -7*r - 245. Let h be m(g). Let o(x) = x**2 + 9*x - 3. Give o(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-2\/7))\/((n*n*n*n**(-3))\/n))\/(n**(-19)*n*n*(n\/(n**(-2\/33)\/n)*n)\/n))**(1\/6) assuming n is positive.\nAnswer: n**(3847\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -269070 or 653?\nAnswer: 653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from jjjsssj.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 3432?\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 9:22 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172607.\nAnswer: 172607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 3*h - 1. Give n(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 259*n**3 - 17*n**2 + 5*n wrt n.\nAnswer: 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnffxgknwgng. Give prob of picking 2 f and 1 n.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4333810, 4333808, 4333806, 4333804, 4333802, 4333800?\n\"Answer: -2*w + 4333812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 387.8 + -387.7. Let w = -8 - -5. What is the nearest to u in 1\/7, w, 1\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 128 = 26*k - 30*k, 4*y = -12. Let w = k - 29. Solve 2*l + b - 7 + 1 = 0, w = 5*l - 3*b - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -18. Let n = a + -10. Let o = -133\/20 - -29\/4. Sort n, o, 0.\nAnswer: 0, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 8 = 0, x + s + 14 + 3 = -3 - 13 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/15657 and 39\/9983947?\nAnswer: 29951841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 11*v - 8. Let k be l(14). Suppose -35*t + 37*t + k = 0. Let a = t - -21. Solve -2*i + a = 0, 0*i = 4*f - i + 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((-971 - -1011) + (4 - 0 - -3)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0286 + 1154.0286. Which is smaller: v or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.266, 2, -2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -597*f - 29385. Determine x(-45).\nAnswer: -2520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/5*-9*2*(-12)\/(-72)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2623312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -84543556?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 15148*f. Let t(l) = l. Calculate z(t(v)).\nAnswer: 15148*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31555274 divided by 1.\nAnswer: -31555274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/595 and -81\/78297580.\nAnswer: 548083060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + sqrt(104)*1*4)\/(sqrt(96)\/(-1*sqrt(12))) + sqrt(78)\/(sqrt(432)\/sqrt(8) - sqrt(6))*4.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**4\/4 - 4*s**3\/3 - 2*s**2 + 20*s + 79. Let m be h(5). Solve -8*v + 3*v = -m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1204b (base 12) to base 14\nAnswer: 8ba3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95369, -95362, -95353, -95342, -95329?\nAnswer: -95314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18109661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*w - 26 = -3, 4*s - 3*w - 21 = 0. Solve 5*n - 14 = s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10418147*b**3 + 9545*b + 1036?\nAnswer: -62508882*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 divided by -6?\nAnswer: 163\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117609 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 112236 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (110 + 0)*(-2)\/(-4). Calculate the greatest common factor of d and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33.348*0.06.\nAnswer: -2.00088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/8 and -25\/274.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/4 - 4197*j + 5871603.\nAnswer: 3*(j - 2798)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/22 - (-4484)\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 214*l + 598. Let v be t(-2). What is the greatest common divisor of 1955 and v?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 685*c - 9960 = 645*c. What is the lowest common multiple of 33 and c?\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -37 and -110 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - w**2 - 2*w + 1. Let o(k) = 21*k**3 + 12*k**2 + 11*k + 31. Let i(p) = -o(p) - 2*r(p). Is i(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10*(-77)\/(4774\/310).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -20. Solve 5*a + 10 = 0, 0*g = -g + 3*a + z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1.7. Which is the closest to 2\/3? (a) u (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -101428 and 3.\nAnswer: -101425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1528163?\nAnswer: 7, 13, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 556652991 to the power of 1\/2, to the nearest integer?\nAnswer: 23593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2*z**2 - 4)*(2*z - 4*z + 4*z) - 69*z**3 - 49*z**3 - 3*z**3 to j + o*z**3 + q*z**2 + x*z and give o.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/6*(-60)\/8. Let k = 3392 - 3421. Does k = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -1\/4 (b) 0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/4)*h)\/(h*h**(-1\/3))*h**(-1)*h*h*h**(-2\/11)*h)**(3\/34) assuming h is positive.\nAnswer: h**(251\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -145871*b**2 - 23*b - 16. Let f(a) = -291741*a**2 - 47*a - 32. Let o(s) = -6*f(s) + 11*x(s). Let y be o(11). Round y to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*o**3*p - c**3*p**2 + 455*c**2*o**3*p**2 + c**2*o**3*p - 41*c**2*o**2*p + c*o**2 wrt p?\nAnswer: -2*c**3 + 910*c**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 1. Suppose -c*u = -6, -d + 5*d = 3*u - 1. Sort d, 5, 1, -4.\nAnswer: -4, 1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -12. Suppose -m*v + 195 = 5*f, v - 15 = 6*f - f. Suppose -2*o + 7*o = v. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2464.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 8*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-158)\/4 + (16\/18 - (49 + 29068\/(-468))).\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3 - 1814. Suppose -g + 530 = -3*m. What is the remainder when m is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = a + a. Let r be 25\/3*a\/10. What is the highest common divisor of 45 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -386, -1543, -3482, -6209, -9730?\nAnswer: -14051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 12:57 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 423*c - 34559. Calculate o(82).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13447200 divided by 1300?\nAnswer: 10344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31172692831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**9\/98280 - 3*j**8\/14560 - j**7\/1638 - 55*j**4\/6 - j**3\/6 - 139*j. Let u(n) be the third derivative of m(n). Factor u(q).\nAnswer: 2*q**2*(q - 10)*(q + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - l - 2, 2*r + 4*l + 2 = 3*l. Suppose -5*s - 17 + 27 = r. Suppose s*y - 1 = 29. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.93533 + -0.10193. What is s rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2107000 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -321746511 and 0.5?\nAnswer: -160873255.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 j, and 2 f when four letters picked without replacement from {f: 2, s: 1, o: 1, x: 1, j: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -3*j - 22, 318*g + 3*j = 366*g - 237 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, z: 6}. Give prob of sequence zll.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.687181272 + 0.287180292. Let d = -3.4 - l. What is d rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u**3 + 2600*u**2 + 163*u + 52988. Calculate o(-325).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*f + 984630, -27*f - h - 1476906 = -30*f. Round f to the nearest 10000.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 174412.8172 to the nearest 1000.\nAnswer: 174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 1. Let p(t) = 2*t - 11. Let z(r) = 4*i(r) + p(r). Let m be z(-5). Suppose j - m*s + 51 = 4*j, -5*s = -j + 11. Solve -3*x - x + j = 0 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 735420 and 1323756?\nAnswer: 6618780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46192 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 306*f**3 - 305*f**3 - 8*f - 5*f - 9*f as n*f + o*f**3 + k + u*f**2 and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -9*r**3 - 100*r**2 - 115*r - 73. Give i(-10).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9312346 or -9312340?\nAnswer: -9312340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 4\/5, -3, 5\/7 in descending order.\nAnswer: 4, 2, 4\/5, 5\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1)\/(-23*(-162)\/621).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.1494 - 9.8494. Let w = 4\/3 + -1. Which is the third smallest value? (a) w (b) u (c) 1.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*s + 16 - 34 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 19221642.\nAnswer: 19221642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 24, 4*l = -3*i + 7*l - 21. Let r = -0.6 + 1.6. Let j = r - 0. Which is the nearest to j? (a) 0 (b) -2\/15 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-336)\/2520*(-5)\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u + 4. Let b(r) be the first derivative of -7*r**2\/2 + 5*r + 7. Give 5*b(g) - 6*v(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7857.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2. Let i(s) = 4*s**2 - s - 180. Calculate i(k(j)).\nAnswer: 16*j**4 + 2*j**2 - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*c - 41*c = -88 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x\/(x*x**(-26)))\/x*x))\/x*x)**(2\/95)*(x**(-5\/6))**(-48) assuming x is positive.\nAnswer: x**(3748\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**2\/2 + 12*m + 7. Determine h(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4432620.9 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 684, 743, 840, 975, 1148?\n\"Answer: 19*k**2 + 2*k + 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1986619, -1986690, -1986759, -1986826, -1986891, -1986954, -1987015?\nAnswer: -1987074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 92 = -7*k. Let d = k - -22. Let v be 6 - 33*(-16)\/(-84). What is the smallest value in -3, d, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 22536764\nAnswer: 22536770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14\/9215 + -7307621\/82935. Let y = -88 - m. Which is the smallest value? (a) 4 (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1)\/q)\/q*q)**38)**5*((q*q**(1\/3)*q*q)\/(q\/(q**(-3)\/q*q)))\/(q\/(q\/q**0))**(3\/2) assuming q is positive.\nAnswer: q**(-1142\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 5:47 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - (sqrt(1100) + -5))*3 - 3*3*sqrt(2156))*-6.\nAnswer: -90 + 900*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -80619318 divided by -8957702?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-935 - 577 + 411)*(-d + 0 + 0).\nAnswer: 1101*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*2.356.\nAnswer: 54.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-51)\/(-108)*(-544)\/(19448\/(-143)).\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 + 28\/(-2) + 7. Let y = -17 - -38. Is 11 a factor of 217\/y + 2\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 345 + -2059\/6. Let g(y) be the second derivative of 0*y**5 + 0 - t*y**3 + 4*y + 0*y**2 + 1\/6*y**6 + 0*y**4. Find the second derivative of g(b) wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3150*a**3 - 2*a**2 - 58*a - 16.\nAnswer: 18900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1103 - 1067 - c**2 - c**2 to p + t*c**2 + x*c and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/33 and -127\/191616.\nAnswer: 2107776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/16)\/s**6)**(-5) assuming s is positive.\nAnswer: s**(495\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 443892.2 years?\nAnswer: 5326706.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -2*d + 29, -406*d + 406*d + 4*m = 2*m + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1222233132 (base 4) to base 11\nAnswer: 279538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 14. Suppose -5*l + 3*m + 19 = 0, 2*m - 6 + 2 = -5*l. Let o be 5\/((-75)\/42) + l. Put o, 0.1, g in ascending order.\nAnswer: g, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4\/41, -0.1.\nAnswer: -0.1, -4\/41, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-24)*(13 + -5) - (-32)\/6. Solve -12 = 5*q - 4*i + 14, 0 = a*q + 4*i - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10102452*c**3*p + 101618264*c**3 + 5*c**2*p**2 wrt p?\nAnswer: -10102452*c**3 + 10*c**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from geg. Give prob of sequence egg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 0, -5*l = 2*j - 1 - 5. Let u(x) = 9*x - 22. Let k be u(j). Solve -h = -k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 12:14 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69017 < 362\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**5 + 12432752*a**3 + 156811*a**2 - 31*a.\nAnswer: 60*a**2 + 74596512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (4 + sqrt(175) + sqrt(7) - sqrt(7)) - (1*sqrt(63)*-3)\/sqrt(9))**2.\nAnswer: 48*sqrt(7) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 4*r**2 + 4*r - 5. Let v be a(-5). Suppose -o - 4*o = v. Suppose g - 2*g + 10 = o. Solve 2*f - 5*n + 4 = 2, g = 2*f + n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 17, d: 1}. What is prob of picking 2 a and 1 d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1065\/92 + -4\/23. Let p be ((-2)\/44)\/((3\/(-1))\/1944). Let a = 5063\/176 - p. What is the common denominator of s and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Find the second derivative of -2*m**d + 4*m**2 + m**2 - m + 2*m wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -21*q**3 - 14*q**2 - 14. Let r(l) = 4*l**3 + 3*l**2 + 3. What is -3*m(b) - 14*r(b)?\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 955694668?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2187*w**3 - 2349*w**2 - 165*w - 3 = 0?\nAnswer: -1, -1\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1700) + sqrt(153) + -1)*5 - (sqrt(85)\/sqrt(5)*3 - sqrt(34)\/(sqrt(10)\/sqrt(5))))**2.\nAnswer: -630*sqrt(17) + 67498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 19 + 1. Suppose f*v = 5*j + 11, 2*j = -5*v - 0*v + 8. Solve 13 = -5*q - v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22040 is divided by 720?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/6)\/l)\/(l\/(l**(-25)*l)))**(9\/7))**(-31\/2) assuming l is positive.\nAnswer: l**(14601\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 32 = 8*t - 4*t, -w = t. Suppose 2*b - 9 - 1 = 0. Let u = b - w. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.096003 times -0.5\nAnswer: -0.0480015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2618 - -35?\nAnswer: 2654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24613 - 24610. Which is the biggest value? (a) 1 (b) -101 (c) u (d) 0.3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.748 and -260276.\nAnswer: -260270.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6261 rounded to 2 decimal places?\nAnswer: -1.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l - 6655 + 7506 = -187*l - 13849 for l.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187413 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m**6\/m))\/m)\/(m*m**4)*m**5*((m\/m**8)\/m)\/m assuming m is positive.\nAnswer: m**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 8*y + 12. Let z be s(9). Differentiate -4 + 4 - 4 + 15*u**z + 16 wrt u.\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a factor of 1541854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.7 + -0.3. Put 1\/3, 1\/9, k in decreasing order.\nAnswer: 1\/3, 1\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -301302 divided by -5286\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 6*n**2 - n + 9. Let z be (-6)\/18*-3 - -5. Determine f(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 6 - 0. Suppose 3 = -4*n + 19. Suppose 5*v + i - 5 = -2*i, -2*i + 4 = n*v. What is the remainder when t is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7234 (base 12) to base 6.\nAnswer: -133304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 21, 1, -2910.\nAnswer: -2910, -4, 1, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 266 and 252 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 5)*20\/(-300).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366780 divided by 130?\nAnswer: 36678\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 170?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -8*v**3 - 4*v**2 - 6*v - 3. Let m be r(-2). Calculate the highest common factor of 38 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5628 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (0\/21)\/(1*6\/(-2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (7 + (1 - (-18 + 8 + -10))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 1:21 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-21)*2 - 2. Let p = 4 - 3. Let t = 0.21 - 0.01. Which is the closest to p? (a) 2\/7 (b) h (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*y**2 + 2011700 - 2011700.\nAnswer: 35*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1918 - 1906 = 0. What is the lowest common multiple of 1 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 6*o + 2*o + 180 - 180.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s - 1. Let h be f(1). Let i = h - -8. Suppose -y = -2*x + 2, 2*x = i*y - 2 + 8. Let l(u) = -10*u**3 - 1. Calculate l(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 42*t**2 - 40*t + 153. Does 41 divide w(45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.403342 to one decimal place.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 966 and 1794?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*6*2\/(-18).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(60)*-5)\/sqrt(5))**2 + (sqrt(144) - (sqrt(144)*2 - sqrt(144)))\/(1*sqrt(48)\/sqrt(4)).\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 493390\/897 or 550?\nAnswer: 493390\/897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 11*a - 605 = 0. What are the prime factors of a?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**2 + 1599*h + 3194 = 0.\nAnswer: -1597, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 2265 = 321. What is the greatest common factor of 108 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16052 divided by -92.\nAnswer: -4013\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*q + 4*q + 0*q)*(-7 + 3 + 3 + (0 - 4 + 5)*(5 - 1 - 3) - 7 - 19 + 9) in the form c + u*q and give u.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 933 - 495 = 0. Solve -81 + v = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -12. Calculate the common denominator of (-103)\/6*2\/x and 21\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.30530366 - -203.69640634. Let x = 204 - y. What is x rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 0.5, 3, 2\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**5\/60 + 3*j**4\/8 - 17*j**3\/6 + 10*j**2. Let g be w(5). Solve -4*m = 4*p - 16, -2*m - 3*p + 18 = g*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48531642.\nAnswer: 2, 3, 37, 218611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2126, -3970, -5816, -7664, -9514, -11366?\n\"Answer: -a**2 - 1841*a - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 32, 37, 26, -7, -68, -163?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**3 + 0*o**3 - 3*o**4 + (-o + 4*o - 4*o)*(3*o**2 + 2*o**2 - 3*o**2)*(2*o + o + 0*o).\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.149195 and 5119827?\nAnswer: 5119829.149195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 6:14 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztzztz. What is prob of sequence zz?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 3, 3156, 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 2*w - w)*(-6 + 13 + 3).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580492707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17548*h**2*w**2 - 2*h**2*w + 672*w**3 - 19525721*w - 1 wrt w.\nAnswer: -35096*h**2 + 4032*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2442, -4916, -7356, -9744, -12062, -14292?\n\"Answer: 3*v**3 - v**2 - 2492*v + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 - -0.1. Suppose -12 = -3*y - 0. Which is the closest to 2? (a) 0.4 (b) v (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -921955*p**3 + 2*p**2 - 974*p + 106 wrt p?\nAnswer: -5531730*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33328 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: Which is the second biggest value? (a) 0.4 (b) 1\/2 (c) -0.02 (d) -26 (e) 0 (f) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1891 >= -1892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:50 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -12*b**2 - 5*b + 5. Determine f(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/60 and (-2604)\/108 + 4\/(-18).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - l**2 - 22*l + 50. Let p be w(2). Suppose -3*b + 0 = -6. Suppose -p = x - b*x + 5*i, -3 = i. Solve 5*o = x*o - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3433*i**2 + 1 - 800*i**2 - 2.\nAnswer: 2633*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 2*b - 10. Let w = 23 - 28. Let f be x(w). Solve -35 = -p - p - 5*a, 3*a = 2*p + f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2*n - 20, 4*s - n = 25. Suppose -3*l + 4*l - s*x = 84, -2*x - 264 = -4*l. Calculate the remainder when l is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 12) to base 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -19, -33, -51, -67, -75, -69, -43?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36841590 to the nearest integer?\nAnswer: 6070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p = 17*p - 12. Let l = -20 + p. Let k(x) = -103*x - 9. Is k(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -4083?\nAnswer: 407b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 - -47. Let l be (q\/33)\/(6 + -1 - 6). Which is the closest to 0? (a) -2\/7 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3590\/(-130) - -29)*(-4)\/(-18).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 427949705?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 1 + 1)*(-35*k + 15*k - 25*k).\nAnswer: -90*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008994367 rounded to 6 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/9100*-13)\/((-33)\/44)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -3\/5 (c) 0.4 (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -6, -0.02, -127?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - t + 9, -4*i - 5*t + 6 = -15. Suppose -6*x + 3*x = -4*o - 7, i*x - 14 = 3*o. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a - 17. Let n be (-5 + 1)*561\/(-68). Let k = 82 - n. Calculate the remainder when k is divided by g(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945586 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60 - 53) + (-3 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -457\/6 - -76. Which is the biggest value? (a) 2 (b) w (c) 3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 196*j**2 - 2328. Let p(k) = -65*k**2 + 780. Let x(h) = -2*o(h) - 7*p(h). What is the derivative of x(v) wrt v?\nAnswer: 126*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.026 - 0.374. Which is the closest to -0.1? (a) -2 (b) -9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 5. Let d be u(6). Suppose m - 20 = -5*i, -d + 2 = -m. Solve -i*s - 6 = 3*f, -s - 5*f + 7 = -3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z - 6. Solve 22\/3*t**2 - z*t**3 - 4\/3*t + 0 = 0 for t.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 115229877 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (10 - 11 - (4 - -1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (85 + -77)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 - 79. Let r = k - -12. Which is the nearest to -3? (a) r (b) 1 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1963212 + -2866212. Round s to the nearest 10000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = 8*l - 337. What is the greatest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5714.467 centuries?\nAnswer: 571.4467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-28)*((-8)\/1 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/1491 and -95\/72.\nAnswer: 35784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 6 = 2*h, -4*x = -0*h + 3*h - 20. Suppose 1616 = 4*u - x*m, 0 = 2*m + 2*m. What are the prime factors of u?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1)*b)**(3\/26))**(-38) assuming b is positive.\nAnswer: b**(-171\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 927591583 to the nearest integer?\nAnswer: 30456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/1386)\/((-2)\/((-16)\/4))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 2, 13, 3, 19 in descending order.\nAnswer: 19, 13, 3, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -11 - 2) + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 - q + 3. Let t(i) = 4*i**2 + i - 4. Let h(u) = -10*u - 46. Let g be h(-4). Calculate g*c(m) - 5*t(m).\nAnswer: -2*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1231*l**2*s**2 + 9*l**2 - 1928345*l*s - 1137*s**2 wrt s.\nAnswer: 2462*l**2 - 2274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21881.76 days in seconds?\nAnswer: 1890584064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 853691.1 - 2.272662.\nAnswer: 853688.827338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 26638*r + 26611*r.\nAnswer: -27*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*g - 30, 3*w + 0 - 2 = 5*g. Let z be -3 + 0 + w - 5. Put 9, z, 4 in ascending order.\nAnswer: z, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086129.\nAnswer: 3, 11, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 6. Let j be b(5). Suppose 2*h - 3 = j. What is the second derivative of -5*y**2 + 2*y**2 - y**2 + h*y - 5*y wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1008\/(-12))\/(-14))\/((-6)\/(-12))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -5. Suppose -5*k = -g*k - 15. Suppose 0 = k*w - b - 21, -w + 2*b - 7*b + 7 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-172566)\/(-69028) + 90\/(-36)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 4*l. Let k be o(-5). Let f = 0.37 + -0.07. Put f, 3, k in descending order.\nAnswer: 3, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 13*a - 1. Let g be ((-64)\/12)\/((-14)\/21). What is the remainder when (g\/(-6))\/(-2) - (-427)\/21 is divided by p(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + k - 225838, 0 = -3*q - 3*k + 269970 - 44142. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 20 = 2*d - 0*d, 3*g + d = 30. Suppose 0 = 2*w + g, y = -2*y + 5*w + 415. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -4)\/(16 + -10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) 84 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgkggeggd. What is prob of sequence ed?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-9)\/21)\/((-4)\/14).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184 - 183.781. What is y rounded to two dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 11:31 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 619 + -618.999998755. Round c to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 3*u + 2. Let j be p(-3). Find i such that -17*i**2 - 16*i**2 + 59*i**j - 21*i**2 + 140*i + 135 = 0.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*l + 190 = -173 - 1319 - 702 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 202370956 divided by 50592739?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, q: 2, g: 5, o: 1, v: 1, l: 1}. What is prob of sequence leq?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -82 - 2?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3150 <= -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence caua when four letters picked without replacement from capppapucfpacaupuap.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5517 and 185126.\nAnswer: 1666134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-3\/7)*m**(1\/3)*m\/m**8*m**(2\/9))\/(((m*m*m*m*m**(-4)*m)\/m*m)\/(m**3\/m*m))**(-13\/7) assuming m is positive.\nAnswer: m**(-550\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.3 - 27.3. Put 14\/5, 6, z in decreasing order.\nAnswer: 6, 14\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 36*m - 43*m. Suppose m*z + 427 = 454. Solve 3\/5*h**3 + 21\/5 + 27\/5*h**2 + z*h = 0 for h.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 14, -3, -4, -1\/81?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 23 - 8 = 0. Let i be (-4)\/(-8)*c*(-8)\/50. Factor i - 4\/5*s + 2\/5*s**2.\nAnswer: 2*(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24060764*j**2*m**2 + 47*j**2*z**2 - j**2*z + 2934*m**2*z**2 - m**2 - 46*m*z**2 wrt z.\nAnswer: 94*j**2 + 5868*m**2 - 92*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5*v - 514 = -523, -4*y - 34 = -2*y + 18*v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, h: 10}. Give prob of picking 2 h.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + g - 1. Let j(s) = -13*s**2 - 3*s - 14. Let b(i) = -j(i) - 3*r(i). Differentiate b(c) wrt c.\nAnswer: 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18344 is divided by 5411.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -0.2, -7, -0.1, 1958.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -6. Let l = 1 + -1. Sort 2, l, j in descending order.\nAnswer: j, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224 divided by -744.\nAnswer: 28\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -20*o + 171. Let w(j) = 12*j - 85. Let c(s) = -4*h(s) - 7*w(s). Let b be c(-6). What is the second smallest value in -4, b, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 147926.9 nanometers?\nAnswer: 147.9269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10815 and 525?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 784?\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 8 + 6)*(106 - 9*x + 20*x - 13*x).\nAnswer: 40*x - 2120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 8*h**2 + 11*h - 4. Suppose 0 = 10*r - 6*r - 28. What is the units digit of j(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/104)\/(((-30888)\/(-352))\/117).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((q\/q**(1\/4)*q)\/q)))**4 assuming q is positive.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9678569.\nAnswer: 43, 47, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1847 + -1829. Calculate the highest common factor of 282 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24679395?\nAnswer: 3, 5, 13, 42187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*w = 0, -2*q - 3*w - 2*w = -35. Let r(p) = 4*p + 5. Let u(b) = -5*b - 6. Let k(v) = q*u(v) + 6*r(v). Let y(n) = -3*n**2. Determine k(y(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 519.27 times 1187?\nAnswer: 616373.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5562 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186851 is divided by 379?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, o: 3, q: 3, e: 5}. What is prob of picking 2 l?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.1 + -1.6?\nAnswer: -85.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 25*l - 35 = 0. Solve -2*t + 4*u - 5*u - 5 = 0, 0 = l*u - 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31894, 31888, 31878, 31864?\n\"Answer: -2*r**2 + 31896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-206*o + 157*o + 113*o + 10)*(-5*o + 3*o - 2*o)*(-o + 3*o - 3*o).\nAnswer: 256*o**3 + 40*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19) + -5*(sqrt(19) + (sqrt(95)\/sqrt(5))**2) - ((sqrt(19) - (1 + sqrt(2299)))*3)**2)*3 + -2.\nAnswer: -51611 - 552*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (453 - 474) + 1 + 48.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fccddfcff. Give prob of sequence fcdc.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*y - 3*y - 5*f, y + f = 4. Suppose -4*h = -y*o + h + 18, h = -5*o + 30. Solve 0 = -3*j + j + o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-320)\/1760*(-11)\/2*(-14)\/4?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 4*c**2 - 8*c + 2. Let f(g) = g - 1. Let t be f(7). Let m be d(t). Suppose 0 = -b - p + 9, -3*b = b + 2*p - m. Solve -3*j + b = -7*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -352, -530, -708, -886?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -2*x - 6, 31691*t - 31695*t - 12 = -4*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 4*p - 2. Let t be k(-6). Let x be ((-6)\/10)\/(2\/t). What is the biggest value in x, -0.2, -3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*m - 14*m - 4*n + 12, 85 = -5*m - n for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3475 divide 147221850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 4, i: 1, s: 5, f: 1, y: 1}. Give prob of picking 1 i and 1 h.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/4)\/(17 + -2 + 2848\/(-192)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -24. Suppose q = 2*m - 7*m + 330. Suppose -l + m = 2*l. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45.9 - 46. What is the nearest to 0.1 in o, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 913 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2065 and 24610.\nAnswer: 10163930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1522140 + -1?\nAnswer: -1522141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/7*3\/((-18)\/15). Solve 0 = -w + 5, 2*w = -i*o - 0*w + 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.247 + -0.247. Which is the nearest to -0.1? (a) -3 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as 14538778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Suppose f = -k + 4*a - 3, a + 9 = 5*k - 4*k. Solve -m + 2*l - 6 = 0, 0*l = -3*m + 5*l - k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1184.066 rounded to the nearest integer?\nAnswer: -1184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 117 = 4*c, -4*p - 6 = 2*c - 48. Suppose -5*k - 3*i - 8 + c = 0, -4*k + 2*i = -24. Solve 4*a = -m + 7, 3*a - 4*a = -2*m + k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o = -25*o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6325337 - 102?\nAnswer: 6325235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 10*r**3 + 2*r**2 + 16*r + 2. Let i(p) = 3*p**3 + p**2 + 5*p + 1. Let b(g) = -7*i(g) + 2*y(g). What are the prime factors of b(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*x - 11*q = -13*x - 6*q + 151 - 281, q + 4 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/3359, 5, 2\/3, -5, 2?\nAnswer: -2\/3359","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (16\/192)\/(107\/6099)\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-42 + 6 + 2)*(-3 + 3 + 4*l) - 6*l - 3 + 3 - l - l + 3*l)*(0*l - 2*l + 3*l).\nAnswer: -141*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164, 2, -2, -0.4, 1.57 in increasing order.\nAnswer: -164, -2, -0.4, 1.57, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 4*v - 3. Let p be (-2)\/(-1) - (-1 + 0). Let w be t(p). Suppose -5*q - 19 = 4*f, 0 = -32*f + 35*f - 2*q - 26. Solve w = o + o + f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from peeorpf. Give prob of sequence ppo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*d - 2*d. Is ((-1315)\/25)\/(d\/(-10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -219 + 220. Let m be (4 + g)*(1 + 1). Suppose -1 = -3*n + 5, -5*s + 3*n + 4 = 0. Solve -3*r + 4*f + m = -s*r, -12 = 4*f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*h + 3*m - 2*m + 47, 44 + 20 = 7*h + 4*m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*w = -220*w - 4. What is the hundreds digit of ((-60)\/36)\/(w\/(-6))*92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/3 - 22580*i\/3 - 63732050\/3 = 0. What is i?\nAnswer: -5645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -414, -824, -1220, -1596, -1946?\nAnswer: -2264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = 12 - 36. Solve n*i - 3 = j, i = -5*j - 0*j + 17 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + -2 + 6 - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -7\/1245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3853408 divided by 5024.\nAnswer: -767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94*65 + (-4 - 28\/7)?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4673915?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*d**2 - 48*d + 48*d - 327*d**2 - 8*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from arshfsfsammm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 2:25 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(14\/3)\/z**(2\/47) assuming z is positive.\nAnswer: z**(652\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 3 + 3)*(-11 - 6 - 8).\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvvgvvvvgvvvvvvvvvvv. Give prob of picking 3 v and 1 g.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 = -3*c - 2*o, -c + 2 = -3*o. Let a = 11 + 24. Suppose -4*h - 5 = -z + 18, 5*z - a = 4*h. Put h, 0, c in descending order.\nAnswer: c, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -519 - 353. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6705 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10511 - 10291. Solve 213*j - a*j = 56 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {g: 5, q: 3, n: 5, k: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2227? (a) 1\/10 (b) -4 (c) -5\/174 (d) 2\/7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28 + (12\/4 - 7). Let b be (-8)\/(-2)*(-3)\/(q\/(-10)). List the prime factors of (2\/b)\/1*(273 + 2).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8 - 3 + 17 + 2*m - 4. What is k(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(-2 + -3*sqrt(2299) + sqrt(2299)))**2 + -1*(sqrt(2299) + -1)*-3*-3.\nAnswer: 28413*sqrt(19) + 2980809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzlzrzrzwzwl. What is prob of picking 2 l?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 51?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5753189808648 and -0.5.\nAnswer: -5753189808648.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 7*l**2 + 8*l + 7. Let s be ((-4)\/(-10))\/((-30)\/(-2850)). Suppose 0 = -5*i + 2*z - 21, 3 = 5*i + 5*z + s. Give t(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from {j: 1, l: 2, u: 1, q: 1, c: 1, p: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-1 + 2 - -2). Suppose u - 3 = 0, -4*q + 2*q + 11 = -u. Suppose 27 = n*m + q*m. Which is the third biggest value? (a) 5 (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 199778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*t**2 - 43*t**2 - 90*t**2.\nAnswer: 128*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((9 + -9 - 0) + 15 + 1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 327760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/4*4\/(-6). Let f = 841 + -837. Suppose 0 = -k + f*k - s. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -1 - -1 - 0) + -97 + 15.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 176. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/2, 5 in decreasing order.\nAnswer: 5, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 14 = z, 25*z + 33*u = 38*u - 70 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4315235 is divided by 17613?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 72983747 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74299219 and 2456.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 + -4a83e2?\nAnswer: -4a83c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*c + 622 = -11500. What is the remainder when 749 is divided by c?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2357*c**4*i**3 - 45*c**4*i + 3*c**2*i + 7*c**2 + 4951*i**3 wrt c.\nAnswer: -56568*c*i**3 - 1080*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 6*x - 590. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccceecc. What is prob of sequence ecec?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53329 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2389 less than -351?\nAnswer: -2740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/219570 and 151\/570.\nAnswer: 4171830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397*x**3 + 2250*x**3 - 240*x**3 + 2527*x**3.\nAnswer: 4140*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t**2 + 3. Let g(o) = 19*o**2 - 7 - 26917*o + 26917*o. Give 4*g(y) + 9*p(y).\nAnswer: -5*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - d - 43, -2*y + 8*d - 10*d + 10 = 0. Solve -5*p + 12 = -y*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlgllllclglrrr. What is prob of sequence lllg?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1376, 8, 4\/13, 2?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 - 8*n - 29. Determine p(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(169\/2 - -6). Let a = z + 440. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1 (b) 0.006 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -210153?\nAnswer: -210157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 306 + -305. Let y(h) = 1. Let c(f) = f + 1. Give j*c(l) - 2*y(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 - -84. Let y = l + -160. Is y at most as big as 55\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*m - 37*m = 1035. List the prime factors of m.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/((-81)\/(-9))*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -145.1 - -139. Let q = k + 6.37. Let o = q - 0.67. Which is the nearest to 2\/17? (a) 5\/3 (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.1. Let h(c) = c + 2. Let i be h(-6). What is the third smallest value in f, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 337 - 140. Let n = -98 + p. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/2 - (-4 + 0). Let k be p + 0\/(-1) + 0. Let r(u) = -64 + 4*u**3 + 4*u - 5*u**2 + 65 - 3*u**3. What is r(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*sqrt(252)*5)**2 + -3.\nAnswer: 100797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d - 110 + 45 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from oomawza.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((9 - 4) + -6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5\/5 - 3*f**4\/5 - 42*f**3\/5 + 18*f**2\/5 + 27*f + 81\/5 = 0. What is f?\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2634 = -122*s + 82*s - 151*s + 10465 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 + 6*r**2 + r - 1. Let h be z(-3). Let u be 24\/(-11) + 1 + 1. Which is the smallest value? (a) h (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1024, -4062, -9126, -16216, -25332, -36474, -49642?\nAnswer: -64836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 30 = 2*z. Let n be z*3*2\/(-12). Suppose 2*g + g - 30 = n*k, k = 3*g - 28. Calculate the lowest common multiple of g and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -2, 0.2, 4, 2, -484963?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, l: 2}. What is prob of sequence aaaa?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4, 2\/31, -1.\nAnswer: -1, -0.3, 2\/31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-3 + (45\/2)\/5). Find the common denominator of 23\/12 and (-1)\/d + (-1348)\/(-480).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-88)\/(-170) - (68\/(-289))\/(-2). What is the nearest to n in 2\/3, -2289, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n. Let g = 11 - -6. Let v(z) = g*z - z**2 - 17*z. Give c(v(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*x + 119*x = 5376 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p + 6. Let q be z(4). What is the remainder when (-104)\/3*9\/q is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**4\/4 + 19*x**3\/4 + 83*x**2\/4 + 65*x\/4 = 0.\nAnswer: -13, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*n**2 - 75*n + 78*n - 24*n**2 - 104*n**2 - 48*n**2 - 1.\nAnswer: -278*n**2 + 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2208 + 1684 = -4*j. Let h be (24\/10)\/(j\/245 - -4). Suppose 0 = -4*z + h + 324. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/19? (a) 2\/7 (b) 4 (c) 18 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a + -3?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 5\/(8 + 8 + -17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 divided by 295671?\nAnswer: 560\/295671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-4\/7))**(-9\/4))**(1\/19) assuming t is positive.\nAnswer: t**(-45\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c = -36*c - 4032. Let b = c - -208. Is b smaller than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5) + (1668\/(-15))\/2. Let x = -45 - t. Solve -4*j + 3*f - 2 = f, 3*f = -j - x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -1, -12062.\nAnswer: -12062, -1, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -2*i + 5\/2*i**2 + 5. What is the derivative of q(z) wrt z?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1394 + 4687. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 4, -20, -0.3, 144?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 4995*q**2 - 9730*q - 239280.\nAnswer: -5*(q - 997)*(q - 8)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71792 + 182.\nAnswer: -71610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b**2 + 9*b + 9. Let r(m) = m**2 - m - 1. Suppose -v + 0*v - 2 = 0. What is v*w(f) - 18*r(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1866d - -14?\nAnswer: -18659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 23, -8 in descending order.\nAnswer: 23, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -49*a - 36. Let y(l) = -147*l - 106. Let t(o) = -7*n(o) + 2*y(o). What is t(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**5\/20 + a**4\/4 + a**3\/6 - 3*a**2\/2 - 12*a. What is z(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397106 + 10*a**2 - 20*a**2 - 397106 + 11*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1528314 is divided by 2156?\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 2*c + 1. Let j be (6\/4)\/(9\/6). Let q be r(j). Suppose -4*v + 0*p + 3*p + 44 = q, 0 = -2*v - 2*p + 8. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4138 rounded to 2 dps?\nAnswer: -12.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sggstgttgtssssgtss. Give prob of sequence stt.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*w + 5*w + 4*w + 2)*(-47400*w + 179 - 466 + 47399*w) to the form g*w**2 + n*w + v and give v.\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 55 = 2*p - 110, -66 = -p - 4*q. Suppose v + p = 162. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 g when four letters picked without replacement from {g: 5, i: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009710373 to 6 decimal places.\nAnswer: -0.000971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 - 5a?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58161 - 183981 = -18*u + 43788. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from icuiiuiuicciu. Give prob of picking 1 c and 3 i.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -162347992*0.4\nAnswer: -64939196.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*b**4 - 2 - b**2 + 3*b**2 - 5*b**3 + 40*b**4 in the form q*b**2 + w*b + i*b**4 + n*b**3 + u and give i.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152 + -306. Let g = u - -154.0000101. Round g to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 103815 + -4c7?\nAnswer: 10331b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -171 + 166. Which is the second smallest value? (a) -0.4 (b) z (c) -2\/3 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o + 3. Let w(j) = -3*j**2 - 3*j + 2. Let g(m) = 43*m**2 + 9*m - 6. Let n(c) = 2*g(c) + 6*w(c). Calculate u(n(l)).\nAnswer: 476*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -889 - -898. Let c(v) = v**3 - 11*v**2 + 16*v + 11. What is c(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 561853?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 1)*(-6)\/(-4). Let b(q) = q + 2 - q**o - 12*q**2 + 4*q + 7*q**2. What are the prime factors of b(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 4*z - 17 = 0, 0 = -4*h + 5*z - 6*z + 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*k - 4. Solve 4 = -2*h - k*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let m be (-5)\/((-130)\/(-12)) + 1516560\/6942. Is h <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*b = 1, r - 13 = 4*r - b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d**2 - 2*d - 3333*d**3 + 3336*d**3 + 1 + d**2 to the form v + x*d**2 + m*d + o*d**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -125*v**3 + 510*v**2 + 585*v - 50 = 0.\nAnswer: -1, 2\/25, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 71, 0.03, -2\/9?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.86 + -3. Let z = w + 0.04. Put 2\/5, -0.5, z in ascending order.\nAnswer: -0.5, z, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + 3. Suppose 3*i - g = 1. Solve -4*a + 3 = -i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2332 - -2358. What is the highest common factor of 702 and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1230 - 2?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 107, 103, 107, 125, 163?\n\"Answer: t**3 - 2*t**2 - 5*t + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0379055472 to five decimal places.\nAnswer: 0.03791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2781*d + 3626. Is r(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 2)\/((-1)\/7). List the prime factors of (-14)\/a - (-188)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245879930?\nAnswer: 2, 5, 24587993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 294155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2 + 4*c - 2 + 2 + 3. What is the units digit of j(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.9 (b) -462 (c) -2193 (d) 5 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 15 = -11*g + 12. Solve -g*p - 6 = -12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263233.3 weeks to minutes.\nAnswer: 2653391664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -7278 and 2.\nAnswer: -7276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 - 355?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12801?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 99*o + 4 - 24 + 11 + 4.\nAnswer: 99*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 903440*q - 903381*q - 354 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/sqrt(4) + sqrt(11))*-5 + (sqrt(11) - sqrt(55)\/(sqrt(5)*2)))**2 + 2*sqrt(11) + -5 + -3.\nAnswer: 2*sqrt(11) + 3939\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5346835006?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsfj when four letters picked without replacement from jswfajsr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7 + 62 + b**2 + 3*b + 14*b - 10*b. Is x(-16) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -668, -130, 408, 946, 1484?\n\"Answer: 538*q - 1206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2. Let h(w) = -250*w**2. What is h(g(i))?\nAnswer: -250*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-4)\/k)\/(k**6*k)*(k**1*k)**(15\/8) assuming k is positive.\nAnswer: k**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 - (4\/(-12) - 13\/(-3)). Suppose 5*j = 10, m - j - 208 = -s*j. Let r = m + -30. What is the greatest common divisor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465*t + 12334 - 4*t**2 + 12315 - 24765 = 0. Calculate t.\nAnswer: -116, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 9*i**2 + 12*i - 27. What is the units digit of x(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -5 + -2 + (sqrt(60)\/(sqrt(96)\/sqrt(8)))**2 + -4*(sqrt(245) + 2)*-1 + 0.\nAnswer: 6 + 29*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -188 - -190. Let c be 141 + (-2)\/(-2 - 0). Is 14 a factor of (-5*(-2)\/5)\/(n\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 178099873 and 254428390?\nAnswer: 1780998730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/5 + 1\/15. What is the second smallest value in s, 0.5, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2. Let a be -10 - 0\/1 - 0. Let z be w(a). What is z rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 45*q = 21*q + 15*q. Let r(o) be the second derivative of 7*o - 5\/3*o**4 + q*o**2 - 10\/3*o**3 + 0. Find the second derivative of r(l) wrt l.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmo when three letters picked without replacement from {m: 4, r: 4, o: 11}?\nAnswer: 88\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 18*n + 4. Let p be v(0). Solve 0 = -p*k - 3*g - 7, 2*k = 5*g + 12 + 17 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1672208193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + f + 7 + f + (3*f - 4*f + 0*f)*(3 - 2 - 4).\nAnswer: 5*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2*j = 0, -4*j = 2*m + 1 + 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1.495578 days?\nAnswer: 129217939200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*j = 5*k + 11, 5*j = -2*k - 17. Sort -5, j, -4, 0.5 in ascending order.\nAnswer: -5, -4, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/238*6\/(-15).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 3:48 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 754 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - i - 15 = 3*w + i, 0 = 4*i. What is the third smallest value in w, -1\/3, -23\/10, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 + 42*h**2 + 1176*h + 10976.\nAnswer: (h + 28)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - p - 5*r = -255, 4*r = -2*p - 78. Let q = 54 + p. Suppose q*g - 4*g - 12 = 0. Solve n - 3 = g*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53630720 and 1031360?\nAnswer: 53630720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -59\/159?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-9) + (-32)\/6. Let y(g) = -4*g + 5. Let b(t) = -t - 1. Let x(s) = -5*b(s) + y(s). List the prime factors of x(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4400 + 4404. Solve k - 2*t = 6, t - 1 + i = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**5\/30 - 55*i**4\/6 + 113*i**3 - 2*i**2 - 48. Factor v(u).\nAnswer: -2*(u - 3)*(u + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, t: 2, b: 1}. What is prob of picking 1 k and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 339544, 679168, 1018872, 1358656, 1698520?\n\"Answer: 40*l**2 + 339504*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 507757 (base 8) to base 2\nAnswer: 101000111111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(2*d - d + 17 - 15).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1711, -1706, -1697, -1684?\nAnswer: -1667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2759, -13381, -31083, -55859, -87703, -126609, -172571?\nAnswer: -225583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 585.11?\nAnswer: 117.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -26. Is c\/6 + 10444\/6*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93*u**4 - 28*u**3 + u + 926 wrt u.\nAnswer: 1116*u**2 - 168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + 2 - 2 + 0 + 0 - 2*f**2 + (-84*f + 47*f + 44*f)*(-126*f + 124*f - 69*f) to the form l*f + z + m*f**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*t + 11 + 16, t + s = -8. Let d be ((-3)\/(-8))\/t*2. What is the closest to d in 1, 3, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 77?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 27. Suppose 3*a + 9 = 0, -2*a + 4 = -3*q - j*q. What is the lowest common multiple of 2 and 62\/3 + q\/3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/9)\/m**(-2\/7))\/(m*m\/m**(-3\/4)*m*m*m**(-1)\/m)*((m\/(m\/(m*m**(3\/4))))\/m)\/m**5*(m*m*m\/(m\/((m\/(m\/m**(1\/6)))\/m)))\/m**6 assuming m is positive.\nAnswer: m**(-1483\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 2*p - 1. Let u(n) = -n**2 - 12*n + 6. Let x(l) = 6*q(l) + u(l). Let r(o) be the third derivative of o**4\/6 - 10*o**2. Give x(r(d)).\nAnswer: 80*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/2285?\nAnswer: -3\/2285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {s: 12, f: 2, e: 2, j: 1, k: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1617915\/64 or 25281?\nAnswer: 1617915\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6088110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 627382.5 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 >= 5188\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3932237 and -1?\nAnswer: 3932236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 245c15 (base 13) in base 8?\nAnswer: 3242745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5645840 divided by -5?\nAnswer: -1129168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 2729318?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (6 - (1 - 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24376.086 - 24390. Round z to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m - 73. What is the remainder when d(-34) is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.353 + -29.353. What is the biggest value in 0, -0.4, t, -0.2, -16?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 5*p - 73, 4*g - 28*p = -27*p + 128. What is the remainder when 865 is divided by g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 113954990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - (-11286)\/10) + (-90)\/150.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5563813361.\nAnswer: 101, 55087261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54144)\/(-16200) + (7\/9 - 1). Let o = -3539\/950 + u. What is the common denominator of o and (-61)\/(-2)*(-26)\/156?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-150989\nAnswer: -30197.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 - -93 - 127 - -94.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-5)\/(-1)*2630. Suppose -k = z + 48850. Round z to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l**2 + 21*l + 86. Is g(-12) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27.66134 and 5.\nAnswer: -22.66134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97794833 to the nearest integer?\nAnswer: 9889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - u. Let z = 227 + -212. What is the lowest common multiple of z and x(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c - 2. Let d be t(-5). Let m = 37 - d. Differentiate 3 - m + 11 - 1 - 12*w**3 with respect to w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 24823.7, 1, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5\/(j**(-20)\/j)*((j\/(j\/((j*(j*j**(-3))\/j)\/j)))\/j*j)**(-15))**(-33) assuming j is positive.\nAnswer: j**(-2343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.146416623 rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 379 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/4 - (-13296)\/32.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -132 + -4?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04729661 to 4 dps.\nAnswer: 0.0473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c = 4*n + 27*c - 20, 5*n - 4*c - 16 = 0. Let w be 1\/n - 3182\/(-296). Solve 0 = 7*i - w*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -2*m**3\/3 + 1. Suppose -74 = -2*u + 92. Let i(s) = -83 + u - 4*s. Determine l(i(o)).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -22a?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 3*y**2 - y + 1. Let m be v(-3). Suppose o - 6 = -r + 7, m*r - 3*o - 66 = 0. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**5\/20 - 3*c**2 + 41*c. Let q(r) = 182*r. Give q(x(w)).\nAnswer: 546*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6656 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-3875.\nAnswer: -1162.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*s - 150260 - 25598. What are the prime factors of s?\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 - -57. Solve j = 2*b + 7 - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2602619 is divided by 684?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + f**2 - 2*f**2)*(-2 + 2 + 1)*(-3*f**2 + 2*f**2 + 2*f**2).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18078 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1312, -1291, -1250, -1183, -1084, -947?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1.9, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 5*q - 37, 21*q - 18*q - 23 = -w for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1039282205 to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/(-7))\/(111\/(-148)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 0*w - 9*w**2 + 0 - 5\/12*w**4 + 5\/6*w**3 - 1\/60*w**5. Calculate the lowest common multiple of 52 and t(-9).\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/7539 and -31\/28002.\nAnswer: 196014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3\/4 + 1915*v**2\/4 + 49835*v\/4 + 47925\/4.\nAnswer: 5*(v + 1)*(v + 27)*(v + 355)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55087668 and 19860.\nAnswer: 275438340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 37796257068.\nAnswer: 37796257068.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 2:12 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/15 - 1) + (-465)\/(-775)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -115 + -7 + 6 + 3 + -1. Let f = l - -129. Solve 2*u - f + 5 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 2\/17, -1\/4, -0.1276?\nAnswer: -0.1276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9643.257 rounded to the nearest 100?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 80*o. Let k(z) = 2*z - 1. Let g(p) = -22*p + 10. Let s(y) = -g(y) - 10*k(y). Give s(d(m)).\nAnswer: 160*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (9 - 4) - (-25 + 28).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1120\/4900*(-5)\/(-4)*(-21)\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -28. Calculate the greatest common factor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 271 + -1075\/4. Let q be 58*1\/5 - 0. Let g = -532\/45 + q. Do g and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 12 (c) -6.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/3960*12)\/(1\/6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1518 + 2474 - 2037*m**2 - 96*m + 2042*m**2 with respect to m.\nAnswer: 10*m - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 i when three letters picked without replacement from {z: 3, s: 3, i: 1, l: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7642855 and -0.34.\nAnswer: 2598570.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*1 - 1312426\/8900. Let u = 3596\/25 + f. Find the common denominator of u and 2\/9 + 727\/90.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 8*p**2 + 10*p - 1. Suppose 0 = -16*v + 25*v - 36. Suppose -v*c - 11*m + 13*m = -28, 3*m = 0. What is the units digit of u(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -937*f - 4580. Determine u(-5).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*(j*j*j*j*j**(1\/4))\/j*j)*j**(-2))**(-3\/25) assuming j is positive.\nAnswer: j**(87\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 212602?\nAnswer: 85040.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5623781 is divided by 2423?\nAnswer: 2421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.29*0.2.\nAnswer: -0.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.051, 0, -1\/16752, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*1 - (-27)\/10. Let a be (568\/80 + -7)\/(44\/1320). Which is smaller: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4189, -17805, -40493, -72253, -113085, -162989?\n\"Answer: -4536*q**2 - 8*q + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*c**3 + 35*c**3 - 51*c**3)*(5*c**2 + 12*c**2 - 2*c**2) + 3*c + 5*c**5 - 4*c**5 - 2*c.\nAnswer: -884*c**5 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5*w + 35721, -5*w = 162 - 117. What are the prime factors of m?\nAnswer: 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*c**2 + 36 - 21*c**2 - 15*c**2 - 18*c**2 + 3*c**3 to d*c + a + m*c**2 + h*c**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h**3 - 15*h**3 - 14*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -781 and -2.3.\nAnswer: 1796.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51160421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/3 + 44*c**4\/3 + 26*c**3 - 44*c**2\/3 - 80*c\/3 = 0.\nAnswer: -20, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.21 + 0.21. Let l = t - -8. Is -6 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 5:30 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 5:08 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)*-3 + -2 + 1 - ((sqrt(605) + (sqrt(605)*3)**2)*2 + -3)) + -1)*1.\nAnswer: -10889 - 55*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 2660385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -482, -1860, -4102, -7202, -11154?\nAnswer: -15952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + -3 + (sqrt(11) + sqrt(1331)*-2 + -2)**2.\nAnswer: 84*sqrt(11) + 4850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.7, -0.2, 4\/3.\nAnswer: -11.7, -0.2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-1 + 3) - (-40)\/(-20). Let c*b + 0 + 1\/4*b**2 + 1\/4*b**3 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57570 is divided by 514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3160 + -37060?\nAnswer: -33700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3799.1499 + -3720.1498849. Let w = 134 + -55. Let l = w - i. What is l rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 418018749*u - 1981142.\nAnswer: 418018749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 669, 2114, 4523, 7896, 12233, 17534, 23799?\n\"Answer: 482*z**2 - z + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 14375.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Let h(t) = t**3 - 4*t**2 + 4*t - 1. Let i be h(3). Determine a, given that 0 - 1\/4*a**3 + 1\/4*a**i + q*a = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 349\/30 + -34\/3. Are 1 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 920\/6149 + 2\/473. Let s = -0.3 - -0.2. Which is the smallest value? (a) o (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 331?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18404 and 172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 23 = -s - 7, s - 2*s = 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (330903 - 330874) + (0 - ((-1 - 0) + -6 + -1))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33636, 33567, 33424, 33171, 32772, 32191, 31392, 30339?\n\"Answer: -6*o**3 - o**2 - 24*o + 33667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -3.9. Let i = u + -5.5. Let b = i - -3.5999973. Round b to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2027325?\nAnswer: 3, 5, 27031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45 - -1?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**3 + 11*f - 1. Let c(g) = g**3 + g + 1. Let y(q) = -5*c(q) + t(q). What are the prime factors of y(3)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 times -16254?\nAnswer: 2600.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 8*a + 1. Let p be x(8). Let d be ((-1 - 1)*p)\/(-2). Suppose 2*n = 33 - d. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11356222 is divided by 406.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 491129222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -12*l**3 - 4*l**2 - 5*l - 5. Is f(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 2:51 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 3:35 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 20*i + 4. Let b = -19 - -21. Let a be f(b). Suppose d - 3*d = -a. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-23)*n\/(n*n\/n**(-10\/9)*n)*n\/(n*n**(-14)\/n)*n\/(n\/n**(-19)) assuming n is positive.\nAnswer: n**(-271\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5549546.28 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 4*h - 6*h)*(-67 - 119 - 10 - 12).\nAnswer: 416*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -355, -160, -1.2, 1\/2 in decreasing order.\nAnswer: 1\/2, -1.2, -160, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 9\/380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**5\/40 + m**3\/3 - 2*m. Let g(d) be the second derivative of i(d). Let u(o) = 2*o. What is u(g(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -33021652217 minus -2.143?\nAnswer: -33021652214.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-80733)\/(-3366) - 43\/(-2838)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 13000, -29 in ascending order.\nAnswer: -29, 11, 13000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4\/2 - 354*x**3 + 714*x**2.\nAnswer: -3*x**2*(x - 2)*(x + 238)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 16*n**2 - 1514. Let o(i) = -2*i**2. Calculate p(o(v)).\nAnswer: 64*v**4 - 1514","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -416, -5, 0.1, -1\/3 in descending order.\nAnswer: 0.1, -1\/3, -5, -416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -100*f + 99*f + 5. Find k, given that -f*k - 45 - 12*k**2 + 24*k - 158*k - 44*k = 0.\nAnswer: -15, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 11 = -4*r - 15, -3*x = -2*r - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 2*v**2 + v + 2. Let w(g) = 0*g**3 - g**3 - 70*g**2 + 1 + 71*g**2. Give -2*h(t) + 4*w(t).\nAnswer: -2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11482 - 13381 = -9*f. Solve f = -r + 210 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1637 or 1638?\nAnswer: 1638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16\/3 (b) 0 (c) -3 (d) 0.5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66897581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - f - 2. Let r be k(2). Let p = -17 - -17. Which is the closest to -1? (a) -4\/7 (b) p (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 656328.4 kilograms?\nAnswer: 656328400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + z = -5, 0 = q - 4*z + 11 - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -527 divided by 31\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*p**4*v + 2*c*p**2 - c*p*v + 28*c*v - p**5*v wrt p.\nAnswer: 24*c*p**2*v + 4*c - 20*p**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 723487 to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 2*x + 5, 10 = 236*x - 231*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4050*x - 4052*x + 3*c, x - 3*c - 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 3:37 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 613195 = 613427 for v.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 963796 (base 13) to base 8\nAnswer: 15334604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 1 (b) -227 (c) 5 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*4*1\/20. Which is the nearest to 15? (a) -5 (b) 9 (c) j (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1271 at least as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - 2. Let m = 74.9965 - i. What is m rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47599722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 462 + -441. Solve 8*x - 15*x = -p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -393*h + 86*h**3 + 393*h + 75 wrt h?\nAnswer: 258*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-12 - -8 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 269? (a) 0 (b) -3 (c) -0.2 (d) 5 (e) 423\/5 (f) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 31.1. What is the closest to 1 in d, 3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2143*-0.027\nAnswer: 57.861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2 + 4024966*q = 0. Calculate q.\nAnswer: 0, 4024966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/8 of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 229 + 13?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.12 - 11.88. Which is greater: g or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 132. Let p be b(0). Suppose -p = -c + y + y, 3*c + 5*y - 440 = 0. Is 28 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -4*x - 20, 4*t + 2 = 6*x + 2*t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97\/(-63) - (-690)\/621.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(52) + sqrt(52)*-1) + 1*sqrt(1872))\/((sqrt(120)\/sqrt(3))\/sqrt(10) - sqrt(36)*-1).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -585, -582, -579, -576, -573, -570?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3\/((-18)\/(-974)) + 29\/(-87) and 11.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0716 - -0.146. Let u = f - 0.07. What is u rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205310310 divided by -1205?\nAnswer: -170382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9*i**2 + 6*i - 5. Let u(g) = 1. Let c(a) = -d(a) - 5*u(a). Find the second derivative of c(q) wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4306 = 7*c + 1436. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2300382 to the nearest integer?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/49775 and -48\/5.\nAnswer: 49775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-28)*4\/6)\/(4\/(-56)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -73, 5, -4, 78 in decreasing order.\nAnswer: 78, 5, -0.4, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -9. Let z(s) = -s + 68. Let j be z(0). Suppose 4*v - 4*a - j = y, 0 = -5*v + 2*v + 5*a + 59. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -3*l + l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 0*u**3 + 2 + 4*u - 4*u**2 - 1 + u**3. Let s(i) = i**2 + 9*i - 7. Let l be s(-10). Let f be c(l). Solve 0 = -j - f*k - 2, 0*j - 4*k = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, k: 2, v: 2}. What is prob of picking 1 v and 2 s?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 1051*u**4\/4 + 2*u**3\/3 - u**2 - 5759*u + 2514. What is the first derivative of t(o) wrt o?\nAnswer: 3153*o**2 + 4*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34\/53 or -2?\nAnswer: -34\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -134*h**2 - 2 - 2*h + 132*h**2 + 6*h = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1582056 by -6132.\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -297, -449, -603, -759, -917, -1077?\nAnswer: -1239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -12*m + 1. What is the units digit of v(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2979020 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20 - 24 - (-1 + -5). Solve -4*d - 2*v = 8, d - i*v = -3 + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2 - 3)*(-1 - 3 + 5)*(0 - y + 0 + (2 - 2 - 1)*(-2*y + 3*y + 0*y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6042 (base 9) to base 8.\nAnswer: -10474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*w - 10*w - 32*w)*(603 + 42*w - 603).\nAnswer: -882*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -4 + 9)*(-56)\/(-21). Suppose 28 = -3*z + w, 5*x - 24 = z. Solve -x*h + 3*c = c - 16, c = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 40878 + 114812 = -f. Does 33 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 266288891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15813746.\nAnswer: 2, 13, 79, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*-1*(-4)\/12)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37963 (base 11) to base 8.\nAnswer: 152176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxgxguauqaqg. What is prob of picking 1 a, 2 q, and 1 c?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*x - 2\/3*x**4 - 11\/2*x**3 - 4\/3*x**2.\nAnswer: -x**2*(x + 8)*(4*x + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8244, -8247, -8250, -8253, -8256?\n\"Answer: -3*u - 8241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26 + (-2)\/(-2 - -1). Let j = 193 - 188. Solve -j*v - k = -29, -2*v + 6*v = -2*k + u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -238*y**3 + 42*y**2 + 42*y. Suppose -3*x - f - 11 = 0, 31 = -4*x + 2*f + 3. Let b(u) = 28*u**3 - 5*u**2 - 5*u. Give x*v(k) - 42*b(k).\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -3. Let c = 5.8 - u. What is c rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 0.5 (b) 0.3 (c) 0 (d) 5 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -0.98. Which is bigger: v or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 228.6 - 229. Which is the second smallest value? (a) 68.1 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.7 in 1, 187, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 0, -2, 6, 30, 76, 150?\n\"Answer: t**3 - t**2 - 6*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**4\/4 + 10*r**3\/3 - 4*r**2 - 7*r - 17. Let c be x(9). Let p be (8\/7 - -1) + -1. Which is bigger: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -1, 0, 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 98418618?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*t**4 + 2*t**3 - 3457*t**2 + 22585 wrt t?\nAnswer: -12*t**3 + 6*t**2 - 6914*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*z = 3*i + 56, 6*z + 6 = 455*i - 460*i - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -27. Suppose -3*y + 4*m = 15 - 0, -u*y - 5*m + 13 = 0. Let n(j) = -179*j - 2. Is n(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 1. Let b(d) = -3*d. Give 3*b(j) - 2*m(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*p**3*t**3 + 19*p**3*t + 5*p*t**3 + p*t**2 wrt t.\nAnswer: 66*p**3 + 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.134 - 0.0295. Let z = l + 0.3762. What is z rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/3064 and -59\/698592.\nAnswer: 698592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/5 + 6*b**4 - 344*b**3\/5 + 616*b**2\/5 + 1344*b\/5 - 2944\/5 = 0. What is b?\nAnswer: -23, -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 - 33981*s**2\/2 + 203893*s\/4 - 67965\/2.\nAnswer: -(s - 2)*(s - 1)*(s + 67965)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 20 = 0, -k + 2*k + 64*x = -k + 65*x + 168 + 8 for k.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 3. Let v be n(-3). Let a = 121 + 23. Let c = a + -140. Put 2, v, c, 16 in decreasing order.\nAnswer: 16, c, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*3\/(-15))\/(6\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35 - -8ba?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 30 - 50.6620733166\nAnswer: -20.6620733166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11\/7 (b) -4 (c) -0.1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1535 (base 16) to base 15.\nAnswer: -191e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9062767, -9062781, -9062795, -9062809, -9062823?\n\"Answer: -14*n - 9062753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 - 7*j + 2*j - 24*j**2 - 18*j**3 + 6*j**5 - 4*j**5 - 4*j.\nAnswer: 3*j*(j - 3)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 871027578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 3*p**5\/5 - 3*p**4\/2 - 3*p**3 + 12*p**2 - 12*p + 683. Factor w(r).\nAnswer: 3*(r - 2)*(r - 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 11 + 53 = 0. Let a be 48\/(-54)*6\/t. What is the second smallest value in a, 1, 0, 1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197852 divided by 1154?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/7 + 160\/28. Suppose -12 = -4*f - 4*a - 60, 5*f + 3*a = -52. What is the common denominator of -181\/30 and (-202)\/(-44) + f + z?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 87177.02g?\nAnswer: 0.08717702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 451*n**2 + 8*n**3 - 5*n - 228*n**2 - 225*n**2 + 9 to the form d*n**2 + f + w*n + o*n**3 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.601983l to millilitres.\nAnswer: 2601.983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -33670 to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 26*v + 17. Let c be (3 + 1\/v)*(-60 + 104). Let q = -21 - -43. What is the greatest common divisor of q and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4))**(-2\/21)\/(l**(4\/15)*l*l**(-4\/15)))**23 assuming l is positive.\nAnswer: l**(-299\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -455 + 489 + (3 + -10 - -18)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*u + 4, 0*n + u = -n + 1. Let f be (n\/(-2))\/((-5)\/(-10)). Solve 0 = i + f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37.54 - -38. Let u = m + -0.23. What is the smallest value in 2\/21, 0.4, u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1104440 (base 5) to base 7.\nAnswer: 110321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -217*f + 202. Calculate c(2).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19800470461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i = 38 + 9 + 93 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8 + 4 = 3*a, 6 = 3*a. Suppose 2*y = -0*y + 2, -3*d + 19 = -z*y. Suppose -3*n + 49 = d. 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: Factor 16\/5*z**2 + 0 + 32\/5*z + 2\/5*z**3.\nAnswer: 2*z*(z + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - r**2 + 1. Let b(p) = -p**2 + 5*p - 1. Let x be b(4). Let y(w) = 2 + w**3 - 3*w**2 + 1 - 2*w**x. Let d be 1*(-12)\/4*1. Give d*l(v) + y(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4580106 divided by -20?\nAnswer: -2290053\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1029 = -11*h - 17. Let c = h + -79. Which is smaller: 12 or c?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x**3 + 6*x**2 - 6. Let k(l) = -6*l**2 - 6*l**2 + 4*l**2 + l**2 + 6 + 8*l**3. Let i(j) = 6*k(j) + 7*s(j). Differentiate i(d) wrt d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*m**2 + 8*m - 48.\nAnswer: -(m - 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265795731 to the power of 1\/2, to the nearest integer?\nAnswer: 16303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**5\/10 + 23*t**2\/2 + 3*t. Let y(b) be the first derivative of q(b). Let c(m) = m**2. Calculate c(y(v)).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -273 - -820\/3. Sort v, -3\/7, 2\/17, 0.3.\nAnswer: -3\/7, 2\/17, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -74546024*q**3 + 193626024?\nAnswer: -223638072*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*p + 297. Let k = p - 30. Suppose k*r - 11 + 5 = 0. Calculate the least common multiple of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from {q: 1, f: 1, h: 2, w: 1, l: 2, t: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*u - 5 = -u, 3*x + 4*u = -7. What is the fourth biggest value in 4\/3, -2\/13, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.82078 rounded to one dp?\nAnswer: 17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4043 + -22332422?\nAnswer: -22342020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6276143?\nAnswer: 6276143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5 + 8488686*z**4\/7 + 23040646*z**3\/7 + 2598566*z**2 + 1212660*z\/7 - 2425328\/7 = 0. What is z?\nAnswer: -606332, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3 - 3*h**2*m**3 + 56*h**2*m + 12*h*m**3 - 7*h*m**2 + 2*m**3 wrt h?\nAnswer: 12*h - 6*m**3 + 112*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 - 132. Let f = y - -37. Let z(w) = -9*w**2 - 2*w + 11. Let h be 6\/(48\/14)*-4. Let j(u) = 4*u**2 + u - 5. Determine f*z(x) + h*j(x).\nAnswer: -x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**3\/3 + 9*n**2 + n - 5. What are the prime factors of l(-19)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17595 and 894240?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-60)\/198*(-30)\/50.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-425)\/(-50) + 3\/(-6) + -1. Let r(s) = -s**3 - 2*s**2 - 2*s. Let j(q) = -4*q**3 - 7*q**2 - 7*q. Calculate w*r(d) - 2*j(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2137 + -1300?\nAnswer: -3437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 56\/(-35)*(-20)\/28. Sort -4.6, 0.5, -0.4, t.\nAnswer: -4.6, -0.4, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -1\/928, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r + 6. Let f(y) = -6*y - 7. Suppose -x - 3*x = -2*g - 40, -g = 5*x - 36. Let j = x + -5. Let d = 10 - j. Calculate d*u(i) + 6*f(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/828966110 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 501*g - 66*g**2 - 560*g - g**3 + 50*g**2 to o + x*g + l*g**2 + j*g**3 and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-14) + 12288\/42 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9}. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2239453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(72) - 4*sqrt(72)*2) + sqrt(72) + sqrt(72) + (sqrt(72) + 1 - sqrt(72)) + sqrt(72) + 3 + -1))**2.\nAnswer: -1296*sqrt(2) + 10449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, k: 1, x: 2, q: 1}. Give prob of sequence yxxq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2\/5, -1\/3, 2\/25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 12:55 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1318240 divided by 37664\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 20*q**2 + 3*q - 1645. Give u(23).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -24613.8 to the nearest one hundred.\nAnswer: -24600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*x + 2*b = 320*x + 2, -3*x - 24 = 4*b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from nnnnnnnhhnnnxxnnhn.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30970?\nAnswer: 2, 5, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230947 is divided by 64.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 771.1 + -14.1. Let s = p + -757.0671. Round s to three decimal places.\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaxfkppzkk. What is prob of picking 1 x, 1 z, 1 f, and 1 a?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103 + -10?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from {l: 1, s: 1, b: 1, g: 1, y: 2, m: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 56*q**3 + 655*q**2 - 4*q**4 + 244*q**2 - 623*q**2 + 216*q = 0. Calculate q.\nAnswer: -3, -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8086 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 17 + 39 = -68. Suppose 148 = 6*s - 2*s + 4*f, 3*f = -s + 37. Calculate the remainder when s is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 5 = 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0424139 minutes to seconds.\nAnswer: 2.544834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12.3135 times 0.3\nAnswer: 3.69405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 3855?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -213103?\nAnswer: -213110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 10*s**2 - 10*s + 13. Let u be h(-11). Let j be u - (144\/(-38))\/(-2). Is 0 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/3 + 410*x**4 + 7442*x**3\/3 + 2078*x**2 - 4968*x = 0.\nAnswer: -4, -3, 0, 1, 621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*w + 10. Suppose r + 6 = 2*r. What is the smallest common multiple of w and r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 = 2*z - 20, 12 = 2*z - j. Let o be (-2)\/z*(-1 - -195). Let m = o - -141. What is the remainder when m is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 29*y**2. Let z(x) = 962*x**2. Determine n(z(h)).\nAnswer: 26837876*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705279827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 217388836 and 2.\nAnswer: 217388838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 24. Let d(z) = z**3 - 18*z**2 + z - 26. Let j be d(s). Let b(p) = -2*p**3 - 17*p**2 - 9*p - 3. Calculate the remainder when 7 is divided by b(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = 14*b - 125. Suppose 1234 = 4*n - 2*o, -b*n + 927 = -2*n - 3*o. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8284 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -40. Let k = a - -39. Calculate the remainder when k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8586092.697 rounded to the nearest 100000?\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -217 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 499 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.165 >= -21.177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23889308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x**2 - 3. Let o(c) = 18*c**2 + c - 6. Let t(n) = 5*a(n) - 2*o(n). Let l be t(-2). Let h = 7 + l. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {s: 1, t: 2, u: 2, m: 1, j: 1, q: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -c4 (base 15) in base 9?\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**2 - 3*i**2 - 6*i**3 - i**3 - 3*i**2)*(-1751*i**2 - 509893 + 509893).\nAnswer: 12257*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -90. Let b = -20 + u. Solve -6*l + l - b = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4\/7 + 414*t**3\/7 + 19477*t**2\/7 - 98100*t\/7 - 677792\/7 = 0. What is t?\nAnswer: -359, -59, -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38157459*b**2*n + 24*b*n - 15*b + 2*n + 1510 wrt b.\nAnswer: 76314918*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - -1. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 53*g**2. Let q(o) = 3*o**2 - 2. Let s be 5\/(-3) + 28\/42. Let z(u) = u**2 - 1. Let r(m) = s*q(m) + 2*z(m). Determine r(y(i)).\nAnswer: -2809*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 9*s**2 - 15*s + 5. Calculate the least common multiple of b(5) and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.06 + 6. Let f = -223 - -217.94. Let r = f - h. Which is the closest to 0.1? (a) -3\/8 (b) r (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010011021100110 (base 3) to base 13.\nAnswer: -342212a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 3:29 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 3. Let f be (1 - 0 - j) + 4. Solve f = x + 2*m - 0*m, 3*x - 3 = -3*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 23. Determine v(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001089 rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 31 (b) 2\/13 (c) -1\/3 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 272165909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0549 - 13.9451. Which is the nearest to k? (a) 8 (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 46975, -0.5, -5, 2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 101 - 35. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 116*j - 974. Give s(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*16*95\/2736\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3, 1\/28, -6, -2125?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 4*z - 6. Suppose y - 3*u - 1 - 13 = 0, 3*y + 3*u = 78. Suppose -2*b = -b - y. What is the remainder when b is divided by q(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7386?\nAnswer: 2, 3, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 12*g. Suppose 6 = -2*a - 4*o, a = 5*a - 3*o + 23. List the prime factors of r(a).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1236 to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 - -0.1. Let m = -1 - r. Suppose 0*g = -4*g - 16. Which is the smallest value? (a) g (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2952\/(-108))\/(74\/78 - 1) is divided by 205?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2. Let v(a) = -405198596*a. Give x(v(c)).\nAnswer: -328371804400742432*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1021*n + 666. Does 277 divide x(-41)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -61228, 0.5, 55, 0.1 in descending order.\nAnswer: 55, 0.5, 0.1, -61228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -0.4, -0.1, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5 + 2*t + 2 in the form p*t + y and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 2:28 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7183 is divided by 2392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/20)\/(((-1)\/15)\/1). Suppose -4*i - 11380000 = -t*i. Round i to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/38*(-24320)\/16640?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -99350 divided by 2009\nAnswer: -99350\/2009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -391402, -782905, -1174408, -1565911, -1957414?\n\"Answer: -391503*q + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 1\/832555972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/4338 and -43\/4.\nAnswer: 8676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.464215 hours in weeks?\nAnswer: 0.068239375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -653*l**3 - 18*l**2 - 6*l + 6. Let j(i) = 654*i**3 + 21*i**2 + 7*i - 7. Determine -7*b(a) - 6*j(a).\nAnswer: 647*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -34.48267 times 4.9\nAnswer: -168.965083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4512.00002351 + -4512. What is s rounded to 7 dps?\nAnswer: 0.0000235","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5230, 21173, 47742, 84937, 132758, 191205, 260278?\nAnswer: 339977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -9. Let i(l) be the first derivative of -l**4\/4 - 31*l**3\/3 - 15*l**2 + 2*l + 80. Let f be i(-30). Put 4, f, v in decreasing order.\nAnswer: 4, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8099708 litres?\nAnswer: 809.9708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4*-3*5\/(-9). What is the nearest to -1 in 1\/2, -5, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 24585758.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264\/(-144) + 1 + (1 - (-363)\/(-18)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.797 + -9.797. What is the biggest value in -17, -3, j, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2*y + 5)*(3*y - 2*y - 2*y)*(106 + 271 + 10) as f + n*y**2 + x*y and give n.\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(4\/(-160)) + -1. Let y = b - 33. Solve 2*x = -0*x + 3*d + 1, 5*x + d = -y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/12 - 1\/(-2). Suppose -10 = -a*b + 22. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -7*l + 140. Let j be 19397\/10*(-30)\/l. Let i = j - 416. What is the common denominator of i and 51\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 7*l**2 + 5*l - 3. Calculate p(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -47*v**2 - 5*v**3 + 19*v**2 + 18*v**2 - 23. Find the second derivative of b(f) wrt f.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11668486 a multiple of 1157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkqq when four letters picked without replacement from qxqqvkqqqqxkqkvq.\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0 - 16. Let n be ((-6)\/r)\/((-3)\/28). Suppose -3*g + 25 = 4*t, 7*g - 34 = -5*t + 6*g. What is the greatest common divisor of n and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t + 3*q = 28*t - 10, -4*q = -t - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**5\/30 - 242*t**2. Let c(a) = -166*a. What is s(c(b))?\nAnswer: 55112*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:20 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.195 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13.50549695 and 76445.\nAnswer: 76458.50549695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2682934, -5365870, -8048806, -10731742?\n\"Answer: -2682936*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 290030886781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from pbbppbpppbqppq?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(3*(-1)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8654671 and -0.1.\nAnswer: -8654671.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3195 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2004, 4012, 6022, 8034?\n\"Answer: l**2 + 2005*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-128349)\/(-192)*-6 - -2. Let l = z + 4012. What is the common denominator of l and (-3)\/9 + 2382\/(-360) + 2?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1\/4 (c) 116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4716988, 18868054, 42453164, 75472318, 117925516?\nAnswer: 169812758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 7 = 3*b, -d - 29*b = -24*b - 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 + 3*v**5 - 2*v**5 + (-2*v + 0 + 0)*(0*v**4 - v**4 + 0*v**4) + v**5 - v**5 - 3*v**5.\nAnswer: -2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000671248079 to six dps.\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.471 and -9?\nAnswer: 8.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*o**(-1\/8)*(o*o**(-2)\/o*o)**33)\/((o**(2\/5)*o**(-1\/4))\/(((o\/((o**(-2\/11)\/o*o)\/o))\/o)\/((o*o\/o**(-5)*o)\/o*o))) assuming o is positive.\nAnswer: o**(-16761\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3) + 20\/(-12). Let l = 4 - m. Find the third derivative of 0*q**2 + q**2 - 2*q**2 - q**2 + q**l wrt q.\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgc when three letters picked without replacement from pfcvg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 - 44\/12. Let v be (-2 + 2 + 0)\/x. What are the prime factors of 17\/(-1)*(-1 - v)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88633 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-606)\/(-404))\/((-45)\/10)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-96)\/216 + (-62)\/(-18). Solve 2*v - v + x = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4403 (base 5) to base 14\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**3 + 4*x**2 + 6*x + 8. Let a(n) = -n**3 + n**2 + n + 1. Determine 5*a(y) - j(y).\nAnswer: -2*y**3 + y**2 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -13*s**2. Let a(o) = -1362*o + 1362*o - 2*o**2. Give h(a(z)).\nAnswer: -52*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 + -0.02. Let n = 7\/2 + -4. What is the third smallest value in -3\/2, d, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 19 = k + 1, -5*v + 2*k = -36. Suppose 0 = -4*w + c + 3*c + v, -2*c = 2*w + 4. Factor -6\/7*u + w + 3\/7*u**3 + 3\/7*u**2.\nAnswer: 3*u*(u - 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - g - 4 = 0, -4*g - 22 = -5*s + 3*s. Let p be (s - 0)*3\/6. Factor 1\/2*o**3 + p*o + o**2 + 0.\nAnswer: o*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**4\/24 - 4*p**3\/3 + 37*p**2\/2 - 32*p. Let j(o) be the first derivative of g(o). Determine j(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -2. Let i be 1\/m + 2\/(-4). Is i >= 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 313426141*l - 178461560?\nAnswer: 313426141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n - 88 = 0. Let y be 2\/3*(-1 - n). What is the greatest common divisor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 2. Let d be (27\/(-63))\/(2\/(-14)). Let o(v) = -v - 18 + d*v + 21. Determine -3*o(u) + 5*r(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/18 and 61\/630718542.\nAnswer: 630718542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*m + 227695 - 1155, -3*m - 2*h + 339795 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-166 + 167 - (4 + 3)) + (-1 - 9).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -13604.61.\nAnswer: 6802.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14056658 divided by 1067.\nAnswer: -13174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47917, 48078, 48241, 48406?\nAnswer: 48573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h**2 + 57*h + 13. Let u(f) = -20*f**2 - 107*f - 27. Let d(y) = 11*k(y) + 6*u(y). What is d(17)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105 + 10072\/96)\/((-2)\/(-32))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 322 and 90.\nAnswer: 28980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 36 = 10*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 7. Let t = -3411 - -3407. Let v(b) = -8*b - 22. Determine t*v(l) + 11*u(l).\nAnswer: -l + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, -1, 2\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 81*f + 7. Let r(x) = 38*x + 4. Give -3*j(q) + 5*r(q).\nAnswer: -53*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -6. Let n = 2\/5277 - -981500\/58047. Let u = -17 + n. What is the biggest value in -2\/17, y, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 0.1. Let g = 3297.917 + -3296. Let l = g - -0.083. What is the second biggest value in s, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2090 - 2065. Is 8 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 545 and 904373.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74\/15 <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6615 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 2*u + 13. Let r be a(0). Let p(m) be the second derivative of 2*m**3\/3 + 11*m**2\/2 + 10*m. Is 21 a factor of p(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2, -1\/2, -4\/5, 0.038, 20 in decreasing order.\nAnswer: 20, 2, 0.4, 0.038, -1\/2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**0\/t))**(-1\/17))**(-2\/7))**(-8\/3) assuming t is positive.\nAnswer: t**(-32\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*j)*(1 + 1 - 4)*((4 - 4 + 1)*(4*j - 2*j - 3*j) + 3*j - 2*j - 2*j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, r: 4}. What is prob of picking 1 r and 2 x?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/12)\/(-9)*(-1)\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428601 is divided by 53518.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2254 + -2249. Put -116, -4, s in decreasing order.\nAnswer: s, -4, -116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*a**2*k + 2*a**2*v - 4*a*k**2*v + k**2*v + 4*k**2 - 2*k*v wrt a?\nAnswer: -22*a*k + 4*a*v - 4*k**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4223196 meters in millimeters?\nAnswer: 422.3196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/15156 and -91\/215766.\nAnswer: 181674972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16085.57584105 - 16129.57584. Let o = i + 44. What is o rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 724*r**2 - 997*r - 5. Let l be a(6). Calculate the greatest common divisor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2\/3 - 3862*u\/3 + 7732\/3 = 0. What is u?\nAnswer: -1933, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34903855 to the nearest integer?\nAnswer: 5908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v. Let t(z) = 7391*z. What is t(y(n))?\nAnswer: 51737*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**3\/12 - 9*v**2\/8 + 5*v\/2 + 245. Factor s(u).\nAnswer: -(u - 1)*(u + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/15 (b) -0.5 (c) -2\/7 (d) -298\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 343233701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**3 + 71*g**2 - 83*g. What is q(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100045 and 2140?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20303 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1140267 - -214.\nAnswer: 1140481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**3\/6 + 6*m**2 - 5. Let d(c) = -c - 3. Determine d(k) + 3*n(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8*k + 4*j + 24 = 0, -12 = -2*k + 4*j. Let m = 14.28 + -1.28. Which is the closest to k? (a) 1 (b) 2\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -4 - (17 + -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 6. Let f(h) = -3*h + 13. Let p(s) = 3*f(s) - 7*y(s). Let t be -1 + 1*-1*5. Let i = t - -4. What is p(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -276, -575, -994, -1533, -2192?\nAnswer: -2971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/84 and 29\/66.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8024 and 31093?\nAnswer: 248744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3 = 3*t, -3*s = 2*s - 5. Suppose t = y + y - 20. Suppose 6*d - y = 8. Solve d*j - 2 = 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -13. Suppose 7*f = w*f + 20. Suppose -3 = -5*u - 4*o, u = f*u + o - 6. Put -7, u, 0.5 in descending order.\nAnswer: u, 0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 325191*j + 650345. What is h(-2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-1 + 0) + 0. Suppose 2*p = -m*p + 60. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.54 - -5.94. Let x = -7 + 8. Let l be 2\/(17\/(-1)*x). Which is the third smallest value? (a) -0.2 (b) l (c) f (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3.5. Let k = -55.7 + 60.7. Sort z, -3, k, 1 in descending order.\nAnswer: k, 1, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 60*j**2 + 1512*j - 1568.\nAnswer: -4*(j - 28)*(j - 1)*(j + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3*n = 45, -38*s + 41 = -37*s + 3*n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n. Let q(o) be the third derivative of 1\/20*o**5 + 0*o - o**2 + 0*o**4 + 0*o**3 + 0. Calculate q(f(h)).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39939677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/((-264)\/187) + (-2)\/8. Let b be 2 + 4 + (x - -2). Solve 5*f + 2*q = -9, 2*f = 4*f + 5*q + b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2. Let p = 37 - 19. Let m(j) = 18*j - p*j + 5*j**2. Calculate d(m(t)).\nAnswer: -50*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161474.\nAnswer: 2, 80737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(65) - (sqrt(65) - (-2*sqrt(65) - sqrt(65) - sqrt(65))*6) - sqrt(65))\/(-2*sqrt(320)).\nAnswer: 25*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 5. What is the second smallest value in -5\/6, -3\/2, -2\/3, m?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 71 = 4*b, -2*s = -2*b + 40 - 4. Suppose 3*v = 19 + b. Let p(m) = 6*m**2 + m - 1. Let c be p(1). Solve 7 = -3*o + 2*r, 2*o = c*o - 4*r + v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 14*o**2 - 4*o + 3. Let m(s) = -2*s**2 - 3*s + 51. Let p be m(5). Give u(p).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*z = a - 26, -3*a - 5*z - 11 = 0. Solve 8*p - a*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 at least 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 smaller than -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**3 - 4*j**2 + 6*j = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23945\/312 - 917\/13. Let l = -1971 - -41378\/21. Find the common denominator of l and d.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + q. Let h be t(1). Suppose -1 - 15 = h*n, 0 = -5*x + 3*n + 57. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7325\/4 - -1831. Which is the biggest value? (a) o (b) 2\/13 (c) -0.02 (d) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-4))\/((-14)\/56)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5*z*z*((z*z**(1\/3)*z)\/z)\/z)\/(z**(1\/4)\/(((z\/(z*z**(-2))*z)\/z*z)\/z*z)))\/((z*z**2)\/z*z**(-6)*z)**(-32) assuming z is positive.\nAnswer: z**(-1031\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 249 = 5*b, -3*b + 125 = l - 22. Suppose -2*c + 60 = -b. Let m(r) = -r**3 - r - 1. Let k be m(-2). Calculate the highest common factor of k and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3846 (base 10) to base 7.\nAnswer: 14133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81180556?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 54839.617 to the nearest 10.\nAnswer: 54840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 0.17, -25\/4.\nAnswer: -25\/4, 0.17, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 (base 10) in base 16?\nAnswer: -e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 5:47 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(-2*sqrt(4)))\/sqrt(4) + 4.\nAnswer: -sqrt(3)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*w - 68. Let t be (2\/3)\/((-23)\/(2070\/(-20))). Suppose 0 = -2*h - z - 4*z - w, t*h - 3*z - 6 = 0. Let a(o) = 8*o. Give a(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-15))\/(2\/5). Suppose 5*l = 3*t - 34, o*l = 5*t - 16 - 46. Suppose -f - 4*k - t = 0, 4*f + 2*k + 11 = 5*f. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) - (((sqrt(176) - (1 + sqrt(176) + 0)) + sqrt(176))**2 - sqrt(176)) - (-3*sqrt(176)*-5)**2 - ((2*sqrt(176) + 5 + 5)**2 + 1).\nAnswer: -40582 - 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5 - 6*k - 9*k + 77*k**3 + 9*k**2 + 0*k**2 + 0*k. List the prime factors of b(2).\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2705\/(-1623)*((-72)\/5 - 0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2. Suppose -6 - 30 = -3*s + 4*w, 0 = 3*s - w - 18. Let i(d) = 6*d**3 + 6*d**2. What is s*a(j) - i(j)?\nAnswer: -6*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 7:15 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -11*d + 2. Let g(x) = 5*x - 1. What is -3*b(i) - 7*g(i)?\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1.1, -80\/11, -1\/8, 3.\nAnswer: -80\/11, -5, -1.1, -1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m - 39 = 45 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 157991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4114 - 3?\nAnswer: 4111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 195389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Solve 126*v + 198 = 72 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*3\/(-18)*-2. Let v = 8 + b. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1846 is divided by 922.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 99820\/(-372) + (6 + -1 - 0). Is s smaller than -263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzzw when four letters picked without replacement from {z: 2, w: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/25*w**2 + 0 + 6\/25*w**4 + 0*w**3 + 2\/25*w**5 + 0*w = 0. Calculate w.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.2180686 to one dp.\nAnswer: -14.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03535 * -213729.\nAnswer: 7555.32015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by 4 + (-1 - (-6)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*n = -8, -65*n + 14 = h - 66*n. Let u(x) be the first derivative of 0*x + 0*x**2 + 2\/9*x**3 - h. Factor u(y).\nAnswer: 2*y**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100195 = 71*j - 98633 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5198 + -5188. Solve -5*s + v = -0, -4*s + 17 = -3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4 = 14. Suppose n - g = -p + 2*n, 0 = 4*p + 3*n + 11. Which is the second biggest value? (a) p (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**8\/80640 + q**7\/6720 + q**6\/1440 + q**5\/12 - 3*q**2. Let m(w) be the third derivative of n(w). Factor m(f).\nAnswer: (f + 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 4*n + 3. Let u be l(4). Let c = 2 + 1. Suppose 5*s - c*s = 0. What is the biggest value in -1, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*l**2 - 7*l - 146 wrt l.\nAnswer: -6*l - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 4, -2.2, -23, 0.7, -5, 85, 0.2?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((1 + 0 + sqrt(208))*-5)**2 - (((sqrt(208)*2 - sqrt(208))*3)**2 - (-3*sqrt(208)*-1)**2))*-4.\nAnswer: -125400 - 4800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 591719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-5))\/(3\/(-12)). Factor 0*n + 16\/5*n**2 + 2\/5*n**5 + 0 + 24\/5*n**3 + t*n**4.\nAnswer: 2*n**2*(n + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -8) + (-33 - (-26 + -19))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/28*(56\/(-12))\/(-14).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -306?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -213, -4 in decreasing order.\nAnswer: -4, -6, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*m - 76*m = -22920. What are the prime factors of m?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5 + 30. Put -1, 0.3, o in ascending order.\nAnswer: o, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 4839351.\nAnswer: 9678702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 368.886 - 369. Let m = -0.114062 - x. Round m to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -55*m**2 + 65*m - 65. Let v = 81592 + -81598. Let k = 228 + -163. Let j(o) = -5*o**2 + 6*o - 6. Give k*j(b) + v*c(b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1758 + -531.\nAnswer: -2289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrr. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -23. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -16. Let t = 444\/11 - 2657\/77. Calculate the common denominator of t and (p - 1) + (-292)\/(-24).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + ((-8)\/(9 + -10) - (-378)\/306).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4 - 0. Let v be (-207 + 211)*(20\/(-15)*(-6)\/(-4) - -1). Sort t, 2, v.\nAnswer: v, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 713 divided by 1\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.509242 rounded to 3 dps?\nAnswer: -2.509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 334*p**2 + 18*p - 2. Let x be z(-1). What is the third derivative of 160*s**4 + x*s**2 + 208*s**4 - 46*s**2 - 76*s**4 wrt s?\nAnswer: 7008*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 9*l**2 + 7. Determine s(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416*k**2 - 99*k - 272*k**2 + 99*k.\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16338472 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.1 (b) 3.2 (c) -3 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*h**2*m*y + 3*h**2*r*y + h**2*r + h**2 + 3*h*m*r - 7*h*m*y - 5*m*r wrt r.\nAnswer: 3*h**2*y + h**2 + 3*h*m - 5*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -27. What is the remainder when 26 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f**2 + 16*f**2 + 136*f**4 - 11*f**2 + f - f**3 - 132*f - 135*f**4 to j*f**2 + h*f**3 + o*f + n + m*f**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/537 + -1627\/4296. Which is the second biggest value? (a) n (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14582097 + 36482097. Suppose -p = -14*q + 11*q. Round q to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4862033?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -7, 4, -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, q: 7, h: 3, f: 1, a: 1, k: 2}. Give prob of picking 1 f and 1 a.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-1)*39768\/14913*((-6)\/(-8))\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1326 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2061370597 to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/76 + 169\/1292. Which is smaller: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1764 divided by 588.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*x + 51*x + 33*x**2 + (-28 + 28 - x)*(-5 - 7*x + 5) as d*x**2 + v*x + o and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 962 and 62678.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -4 = 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 799710119*p + 429642494 wrt p?\nAnswer: 799710119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3638397 millilitres to litres.\nAnswer: 0.0003638397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 1647054.\nAnswer: -17\/823527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**2\/7 - 32*k\/7 + 8 = 0.\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 95820419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - (-888)\/(-64))*7. Let t = h - -62. What is the nearest to -0.3 in t, 74, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410741224.\nAnswer: 2, 79, 649907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 524384 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 17*l**2 - 2*l**3 + 0*l**3 + 4*l + 308509 - 308509. Let j(p) = -5*p**3 + 34*p**2 + 9*p. Give -4*j(r) + 9*m(r).\nAnswer: 2*r**3 + 17*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 177468821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 938 - 653 = 336*u - 1395. Solve u*w - 10 = -4*p - 12, -4*w + 8 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(27\/(-24)) + 3*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142416 is divided by 330?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -188.6 + 189. What is the second smallest value in k, -0.18, 1\/2, 4\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z - t = 1, 0 = -2*z - 3*t + 10. Let x = -11 - -10.8. Let r = x + 0.1. What is the nearest to r in 2, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*g**2 - 585*g + 216.\nAnswer: 3*(g - 24)*(8*g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 795 divide 1641544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (-3)\/(-1) + -5. Let b(o) = o + 1. Let d(z) = 2*z + 1. Let v(p) = h*d(p) + 5*b(p). Let c(a) = -15*a - 2. Determine -6*c(q) + 13*v(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 + y**2 + y + 2. List the prime factors of f(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24128 + 24170 = -21*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + (240\/3 - -1)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3879655 and 2210?\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1398, 1425, 1452?\nAnswer: 1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -13 - -27) + (0 - 6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5 - 104326*a**4 + 1356104*a**3 - 3650906*a**2 - 5111337*a = 0. What is a?\nAnswer: -1, 0, 7, 104313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (32 - 15 - 11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805492671.\nAnswer: 3, 173, 599, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 1 + 0*y - 5. Let q be t(-5). Let j be 5 - (-2 + 3 - q). Solve 0 = 2*g + w - 3*w - 6, -j*g + 2*w = -7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - s - 3*f = 50, 4*s - 33 = f. Solve k = 3*g - 17, s*g - 30 = 2*k + 2*g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 2*h - 4, 3*j + h - 7 = 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 9 = -3*j. Suppose -4*u = -3*y - 20, 4*y + j*u + 6 = 21. Solve -5*t + 20 = -5*o, 4*o + y*t + 4*t + 8 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -0.4, -13\/3, -0.7, -23, 0.05?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 71 and -12?\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 30*i**2 - 270*i + 2. What is m(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/30)\/2*66\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 26*i**2 - 14*i + 3. Let v(n) = -n. Determine v(h(x)).\nAnswer: -26*x**2 + 14*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -224 * 2.961\nAnswer: -663.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 11*c + 9. Suppose 0 = k - 41 + 50. Let f(p) = -p**3 - 10*p**2 - 11*p - 13. Let r be f(k). What are the prime factors of b(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 3}. Give prob of picking 3 e.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 46 - 20 = -2*a, -n - 39 = -a. Let s = -25 + a. Let q = 7 + -1. What is the remainder when s is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4033 + -2353. Let n = -1602.9 + c. Round n to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 621983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = o, -4*o + 0*o = -3*k - 11. Let w = k - -2. Suppose 5*g = 7 + 13. Which is bigger: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 4*t**2 + 5*t + 5*t**2. Let o be g(-3). Suppose 0 = -q + 5, -303*d - 21 = -304*d - 3*q. Solve 0 = -j + o - d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.9 * 0.27822.\nAnswer: 1.641498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 7. Suppose 0*o - 3*j = -4*o + 162, 5*o - g*j - 206 = 0. What is the remainder when o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*o + 4. Let u be (o\/(-12))\/((-1)\/12). What is the greatest common factor of u and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 2*d**2 - 2*d**2 - d**2 + 0*d + 0*d + 0*d**2 - 2*d**2 + d**2 + (-2*d - 2 + 2)*(-d + 5*d - 2*d) + (-78*d - 10952 + 10952)*(-d + 4 - 4).\nAnswer: 70*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = 2*g, -4*g - 18 = q. Let z(j) = -j**5 - j**4 - j**2. Let a(c) = -27*c**4 + 33*c**3 - 25*c**2 + 4*c. Let i(d) = g*z(d) + a(d). Factor i(v).\nAnswer: v*(v - 2)*(v - 1)**2*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4\/7 - 12*x**3\/7 + 29*x**2\/7 + 12*x\/7 - 4 = 0. What is x?\nAnswer: -14, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.174\nAnswer: 0.0696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 22, 33, 44?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - o = 26, -5*y = -o + 1257 - 1251 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 14 + 98 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*u = 121*u - 48*u - 209 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/8 - 28) + 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 358 - 277. What is the remainder when l is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 15 = x. Solve 5*s = x*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 14*x**2 + x - 10. Suppose -2*y - 3*k - 24 = 23, -5*y - 95 = 3*k. Let d be ((-24)\/y)\/(9\/84). Let p be i(d). Solve -l + 20 = p*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*n**2*r**2 - 2205880*n**2*r - 229846*n*r**2 + r**2 wrt r?\nAnswer: -12*n**2 - 459692*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*s = 52, 0 = -4*n + 3*s - 16 + 61. Solve n*g + 246 = 318 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 410 - 1038. Let v = u + 432. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1933528 is divided by 112?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 4*d - 23. What is f(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/680 and 3\/160?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12697.\nAnswer: 12697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3 = -3*o, -5*o - 11159 = -11164 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 3:35 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2346, -4697, -7050, -9405, -11762, -14121, -16482?\nAnswer: -18845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*d - 19 = 0, -23*d - 11 = n - 21*d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874281 is divided by 184?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/2180 and 67\/872.\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*z + 26 = 0, -3*y + 5*z - 39 = -0*y. Let n = y - -18. Let j be (-60)\/12 + 2 + 3. Solve j = o + n*c + 8, 2*o + 0*o - 10 = 3*c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4105809.89 to the nearest one thousand.\nAnswer: 4106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 5, -1 in decreasing order.\nAnswer: 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 - -1646 - (-12)\/(1 - -1). What is the greatest common divisor of d and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -0.4291 (c) 5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1668?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 3*d + 5. Let v(l) = 2*l**2 - 5*l + 10. Let j(k) = -13*h(k) + 6*v(k). Let x(n) = -4*n + 2. Give 2*j(w) + 5*x(w).\nAnswer: -2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - a = 14, -5*i + 5*a + 30 = -0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 43*y**2 + 433*y + 77. Calculate w(-25).\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/4, 0.4, -1, -2.\nAnswer: -2, -1, 0.4, 11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 11.062?\nAnswer: 1.1062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 33772952*a**2 + 67545916*a - 33772960.\nAnswer: -4*(a - 1)**2*(a + 8443240)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0. Let y = -132 + 86. Let q be (-4)\/(-20) - y\/(-30). Put p, q, 6 in descending order.\nAnswer: 6, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2 + d**3 - 9*d**3 + 5 - 3*d + 7*d**3 + 7*d. Does 2 divide i(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16473 - 16098.74. Let m = v - 374. What is the closest to -1 in 6\/11, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83906392 and 552.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.7 - -29.7. Let i = 27 - 241\/9. Which is the third smallest value? (a) -2\/13 (b) m (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212 and 583?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2 + 15786*p. Let f(y) = -y**2. Give a(f(j)).\nAnswer: -3*j**4 - 15786*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69414 is divided by 1310?\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 10161.\nAnswer: 10161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = -2*y + 1, -4*j + 2*y = 4. Solve -4*u + 0*u - 12 = j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/1393? (a) 5.5 (b) -8 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/484*-12 - (-105)\/(-264). Let k = -3 + 4. Which is the closest to -1? (a) -4 (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 1, w: 2, y: 1, o: 1, d: 1}. What is prob of sequence yx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/3)\/(1\/6). Suppose -14 = -2*y + f*z, 3*z + 3 = 2*y - 14. Suppose 0*s = y*s - 88. What is the least common multiple of 8 and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3) + (-5)\/(-15). Is c\/(2*4\/1736) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 9. Let h = 202 - 252. Let z = 52 + h. Which is the closest to y? (a) z (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29772 - 2529 = -97*j. Solve -j + 330 = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280 - ((-6)\/(-5))\/((-4)\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.84 - -93.84. Let c = -157 + r. Let p = c + 63.999878. What is p rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27846 divided by -4641.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105 (base 13) to base 4.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -384272339.63023.\nAnswer: -384272335.63023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -61, -246, -545, -952, -1461, -2066, -2761?\n\"Answer: j**3 - 63*j**2 - 3*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8165, 2\/13, -5\/2 in descending order.\nAnswer: 1.8165, 2\/13, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1997 - 701. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36830\/11 bigger than -3347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, t: 2, z: 2, r: 1, f: 1, y: 2}. What is prob of picking 2 z, 1 r, and 1 f?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*f + 2. Let j be (-1)\/(1 + f) - -44. Suppose -4*z - z = -j. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96\/7 + 14. What is z in 0 + 0*z - 2\/7*z**3 + 0*z**2 + m*z**4 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*o**3*x + 1362*g**3*o**2*x**2 - g**3*o*x - 2*g*o*x**2 + 7*g*o*x + o*x wrt o.\nAnswer: 12*g**3*o*x + 2724*g**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 34 + 2650*g - 2658*g - 33. Let r(q) = 9*q - 1. Give -6*o(s) - 4*r(s).\nAnswer: 12*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 44 = -3*m. Let l be -3 + 3\/3 + m. Let c(h) = -h**3 + 8*h**2 + 8*h + 9. Let t be c(l). Solve -5*k - 50 = 5*f, t = k - 6*k - 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-6))\/(-7 + 255\/45)*480\/(-168)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -671 - -1046. Let y(o) = 270*o + 67245. Let f be y(-249). Calculate the greatest common divisor of v and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 2}. Give prob of picking 2 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (360\/(-32))\/((-2)\/(-8)). Let l = w + 89. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 458 and 528352.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1819100, 1818320, 1817540, 1816760?\n\"Answer: -780*u + 1819880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1110 in -22, -1\/3, -10.7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*w + 102*w = -146*w - 147*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 1165 + 1526. Suppose 0 = -u + m + 228, -6*u + m + p = -2*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32477*s**2 + 32525*s**2 + 32479*s**2 - 130038*s**2 + 32493*s**2.\nAnswer: -64*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 126.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 3. Let m be t(-1). List the prime factors of -2*(-5 - -1) - m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50575, -50586, -50597, -50608, -50619?\n\"Answer: -11*j - 50564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**7\/315 + r**5\/90 - r**2 + 3. Let s(t) be the second derivative of a(t). Let s(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 1015.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 4*z - 31, 3*v + 2*z = 8*v - 33 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -11\/2*l**2 - 2*l - 13\/12*l**4 + 0 + 0*l**3. Differentiate i(d) with respect to d.\nAnswer: -26*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21045 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 = -2*y + 76. Let j = y - 73. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28.91 - -0.91. Let c = w + 32.7. Is 1 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14957297 to the nearest integer?\nAnswer: 3867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1159158 decades to months.\nAnswer: 13.909896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2961 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d - 29. Let y be g(4). Let s(k) = 1. Let r(c) = -c. Give y*r(h) - s(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -112740.\nAnswer: -7\/56370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-r**2 + r**2 - r**2) - 10*r**2 - 40*r + 40*r - 209*r - r**2 + 0*r**2 + 219*r.\nAnswer: -10*r**2 + 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1171966.\nAnswer: 2, 373, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.15 and -4.\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 + 2*j**2 - 6*j**2 + 4*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 25*x - 4 = 0. Suppose -x*m + 9*m + 260 = 0. What is the hundreds digit of 682\/5 - (m\/20 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17649817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1365*l + 1510*l - 651*l)*(-3 + 2 + 0) in the form n*l + y and give n.\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -21, -1, 2, 857 in descending order.\nAnswer: 857, 3, 2, -1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 16) to base 10.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81 and 24?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 10, -240, -11.\nAnswer: -240, -11, -4, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + sqrt(117).\nAnswer: 1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*b, -3*b - 1 = -4*l + 5. Suppose -5*i + 167 = -l*f, 5*f = 4*i - i - 289. What is f rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/868 and 3\/24136259?\nAnswer: 96545036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2099 - 2090 - c - 3*c)*(3 - 1 + 0) to the form s + g*c and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12790944 and 45216.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, y: 5, u: 2}. What is prob of sequence rurr?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -596270, -596218, -596132, -596012, -595858, -595670, -595448?\nAnswer: -595192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -5, -26\/3, 49?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1439\/2, -20, -6\/11 in descending order.\nAnswer: -6\/11, -20, -1439\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -5*f**3\/6 + f**2\/2 - 3*f. What is the units digit of v(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120 + 632. Does 32 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 3*r - 2*r - 128*r**2 - 2*r + 48*r**2.\nAnswer: -80*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -n - 460 - 131, -742 = -5*w - 2*n. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590833 divided by 126?\nAnswer: 123373\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -221, -442, -663?\n\"Answer: -221*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/113, 0.06, -5, -124, 7\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9350 is divided by 9309.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/6 - 1375*p\/6 + 57276.\nAnswer: -(p - 216)*(p + 1591)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -7 - (37 - 24).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -12871\nAnswer: -12879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 45 + 11. Solve 11*r**2 - 6*r**3 - 4*r + r + 3*r**2 + 2 - t*r = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2332*j**2 + 27984*j. Let y(a) = -12*a. Calculate -3*s(o) - 6996*y(o).\nAnswer: -6996*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 21*g + 1. Is c(-20) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1294*n = -545*n - 468*n + 140727 for n.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**3 + 25684*p**2 + 13397580*p + 1825527132 = 0 for p.\nAnswer: -5863, -279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/32290?\nAnswer: 1\/32290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90071488, -180142975, -270214458, -360285937, -450357412, -540428883, -630500350?\nAnswer: -720571813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**2*y**3 - l**2 + 3*l*y - 494*y**3 - 65*y wrt y.\nAnswer: -6*l**2*y - 2964*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5906 + 1133. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3355 is divided by 1097?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46305104?\nAnswer: 2, 2894069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3831184 divided by 24248.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (2 - 1) + (-133)\/171\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*k = 136, -3*l - 5*k = -44 - 71. Calculate the smallest common multiple of 9 and l.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19071748*a**6 - 2*a**3*k**3 + 6*a**2*k**2 - 164*a*k**3 - 284*a*k + 3*a wrt a?\nAnswer: 2288609760*a**3 - 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259815010 to the nearest integer?\nAnswer: 16119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7416 and 3712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 8*x + 12. Let q(f) = 9*f + 11. Let z(h) = -6*o(h) + 5*q(h). Let k be z(-7). Is 948\/30 + k\/10 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 500 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -81490, -81506, -81578, -81742, -82034?\n\"Answer: -6*p**3 + 8*p**2 + 2*p - 81494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 12 - 29 - 21*b**2)*(0*b - 2*b - 4 + 6) to v*b**2 + c + i*b**3 + l*b and give i.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15667 greater than 15665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 6:58 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112394.3 months in decades?\nAnswer: 9269.9525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -15*i**4 + 11230*i**3 - 93935*i**2 - 1673980*i - 1568800 = 0.\nAnswer: -8, -1, 53\/3, 740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 9 = 5*h. Suppose -4*p + 8 + 16 = 0. Suppose 0 = -5*v + 2*v + p. Solve l + h = -3*j + v*j, 3*j + 8 = -4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -71509641?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157414 + 157406.999986. Let v = -4 + 11. Let o = y + v. What is o rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.502102 micrograms to nanograms.\nAnswer: 5502.102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 495175 or 15\/8?\nAnswer: 495175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 807902 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ba6 (base 12) in base 4?\nAnswer: 122232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140560756 + 1060756 = 5*j. What is j rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566012094.\nAnswer: 2, 3, 449, 210101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1058373 (base 9) to base 12.\nAnswer: -236103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 7?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 372, 28, -1, 4, -60, -9 in ascending order.\nAnswer: -60, -9, -1, 1, 4, 28, 372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -0.064 (c) 1040 (d) -0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 12. Let z be j(9). Find l, given that 6*l**z + l + 21*l**2 + 20 + 11*l - 32 = 0.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 353776 and 10736?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + -1 + -1*(-9)\/(-3). Calculate the remainder when (3 + c\/(-1))*2 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, b: 4, y: 9}. Give prob of picking 1 y, 1 b, and 1 t.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kllrrhhrllllhlhlklh. Give prob of picking 2 r.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2002202010122 (base 3) to base 15\nAnswer: -170e1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/100760 and -41\/704.\nAnswer: 806080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20668*l*o**2 + 9*l*o + 12*l + 1621*o**2 + o + 7153 wrt o.\nAnswer: -41336*l + 3242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1559446?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 380*n + 44823 + 3*n**2 - 22403 - 4*n**2 - 22415 + 0*n**2 in the form y + b*n + r*n**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -19 + (2 - (4 + -8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 96 = 2*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13994891, -13994884, -13994877, -13994870, -13994863?\nAnswer: -13994856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -33, -463646 in increasing order.\nAnswer: -463646, -33, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 17. Suppose 0*y = 3*y + d - 37, -25 = c*d. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -7*f - 1242. Let k = -125 - f. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -597 + 68*l + 34*l - 172*l + 72*l.\nAnswer: 2*l - 597","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, y: 4, e: 7}. What is prob of picking 2 y and 1 e?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115*g**2 - 11*g**3 + 31*g + 16*g - 114*g**2 wrt g.\nAnswer: -66*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, m: 3, r: 2, t: 2, g: 8, o: 1}. Give prob of sequence ovt.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d**7)**(-19\/2) assuming d is positive.\nAnswer: d**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 17 = -26 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m + 2. Suppose 0 = 4*k - 6*k + 10. Does 13 divide j(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6950*s + 6359*s - 9341*s + 9965*s + 11850*s in the form j*s + d and give j.\nAnswer: 25783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**4*z - 92*x**2*z - 56554*x**2 - 5*x*z - 32*z + 86887 wrt x?\nAnswer: 36*x**2*z - 184*z - 113108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 = -0*l. Let f be 12\/(-16)*2 + (-1)\/l. Find the common denominator of 32\/47 and f + 7\/5 - (-214)\/(-60).\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = k + 35, 265561*k - 265562*k - 8*s - 95 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005927823 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from {b: 1, e: 3, j: 1, g: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7498 + -3680. List the prime factors of j.\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/7 + 0 + -1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 3\/5 (b) -1\/16 (c) -4 (d) 1943\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 20. Let h = 24 - c. Solve -14 = 4*q - 3*o, -5*q - h = -o + 2*o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 3.04, -4 in ascending order.\nAnswer: -4, 0.2, 3.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 56259547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m**3 + 11639159*m**2 - 203*m - 264870 wrt m?\nAnswer: 24*m + 23278318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 - 9*i**2 + 9*i**3 - 4*i**4 + 44*i + 7*i**4 - 42*i**3 - 22 + 49*i = 0. What is i?\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*m**2 + 21*m**2 + 2 - 55*m**2 - 2 + 78*m**3 wrt m?\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2*h - 11*p - 339 = 0, -48*h + 50*h - 40 + 7 = p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7e5c (base 15) in base 6?\nAnswer: 324210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -40. Let u = r + -15. Which is the third smallest value? (a) u (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 6. Let w be o(-3). Suppose -121*a + w = -117*a. Suppose 5*y - 57 - 393 = 5*g, 0 = a*y + 2*g - 285. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 11*m - 14. Let a be b(6). Let d be 28\/6 - a\/24. Put 10, 0, d in descending order.\nAnswer: 10, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31, -46, -43, -10, 65, 194, 389, 662?\n\"Answer: 2*o**3 - 3*o**2 - 20*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 833 + -404. What is the greatest common factor of 66 and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104448181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 10.15198.\nAnswer: 30.45594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 4*q**2 - q**2)*(-q - q + 0*q) + 3*q**3 + 8*q**3 - 3*q**3 + (1 + 1 + 1)*(-2*q + 2*q - 2*q**3).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*d - 2*d, 5*d = 5*i + 20. Let g = 11151 - 11176. What is the third smallest value in 1, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391 less than or equal to 124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1569636640 to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1696 and 346832?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 12*d**2 - 34*d - 46. Let r be a(4). Let u(p) be the first derivative of 1\/3*p**5 + 0*p - 1\/18*p**6 - 3\/4*p**4 - 1\/3*p**2 + r + 7\/9*p**3. Factor u(y).\nAnswer: -y*(y - 2)*(y - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -150*h + 191. What is the hundreds digit of t(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 83885851 - 1?\nAnswer: 83885850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-585)*-5 + 80\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 26020921*z - 78062754.\nAnswer: -(z - 26020918)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 251*r - 251*r - 2*r**3 + 1 + 2*r**2 to g + b*r**2 + x*r + c*r**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o**2 - 4. Calculate the remainder when 16*21 + 4\/(-2)*(219 - 222) is divided by l(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {x: 3, m: 2, c: 1, h: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w - 297. Let f be i(50). Solve 4*s - 2 = f*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 1:54 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122 + 123 - 20*n - 245 to the form l*n + g and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.87 + 0.13. Is w at least 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**4\/6 + 8*r**3\/3 - 4*r + 7. Find the second derivative of p(n) wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 3*f - 1. What is i(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110200201 (base 3) in base 11?\nAnswer: 6a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 497, 1116, 1841, 2672, 3609, 4652, 5801?\n\"Answer: 53*n**2 + 460*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -25*h + 24*h + 6, 19 = 2*r + 3*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 3 = -49*o, -l + 20 - 45 = 2*o - 24 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*w**3\/8 + 1440*w**2 + 46567*w\/8 + 105\/4 = 0.\nAnswer: -21, -5, -2\/443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49 + 282c91?\nAnswer: 282c47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 60*(-181)\/((-59730)\/264)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 7*b + 18. Calculate t(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 44 = i, i - 801169*z + 801173*z + 29 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - 4*q + 4*q)*(3 - 5 - 2 + 2 - 4 + 0 + (0 + 2 - 3)*(-3 - 1 + 6)) as w*q + n and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -806*b = -5*n - 1605*b + 801*b + 24, -5*n - 5*b = 25 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -10*s**2 - 56*s - 3. What is h(-3)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 22*g - 3. Let a(l) be the second derivative of -l**3\/6 - 3*l. Calculate z(a(o)).\nAnswer: -22*o - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19903369 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 6, -6, -22, -42?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.1009 + -0.1009. Sort 1\/20, h, -0.2, 0 in decreasing order.\nAnswer: h, 1\/20, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 54444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*z = 39, 5*x - 195 = -3*z + 2*z. Factor -86*g**2 + 100*g - 94 - 26 + 37*g**2 + x*g**2 - 5*g**3.\nAnswer: -5*(g - 2)**2*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 7. Suppose 8 = k*o - 0. Suppose -5*f - o = -m, 5*f - 2 = 3. Solve -6 = -a + n, -3*a + a + n = -m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1677 and 144339?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(48)*-2.\nAnswer: -8*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 3:04 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -123 + 119 - (15 + 7 + 2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -454*a - 200*a + 514*a.\nAnswer: -140*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/63)\/(-5*(-315)\/675)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 + -0.1. Let l = y - -1.27. Let n = l + 0.23. Which is the nearest to -2\/3? (a) n (b) -3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-10)*(-25)\/10. Suppose m - q*p - 3 = -2, 14 = 5*m - p. Solve 2*d + m = x - 0*x, 0 = -2*d - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0.2. Let z = -0.2 + v. Let m = 12.03684 + -0.03684. Which is the closest to -1? (a) z (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a**2 - 1 + 34*a**2 - 14*a**2 - 99*a.\nAnswer: 7*a**2 - 99*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4\/5 + 7224*b**3\/5 - 696754*b**2 - 1211134260*b + 12179577200 = 0. Calculate b.\nAnswer: -668, 10, 2135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 6748?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 3*g**2 + 3*g + 1. Let d be f(-4). Suppose -60 = -5*l + d*t, -3*l + 3*t + 34 = t. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -18*c + 2. Calculate b(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 1751*c**2 + 213208*c - 6280588.\nAnswer: -(c - 58)**2*(c + 1867)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.2. Let d be 2\/(-9) - (-58)\/18. Let o = 1136\/9 + -126. Sort y, o, d.\nAnswer: y, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o + 11*o - o - 1 + (3 + 1 - 2)*(0*o - 2*o + 0*o) in the form z + m*o and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d. Suppose d = 4*x + x + 3*n - 40, 2*x + n - 15 = 0. Put -0.02, -2\/7, x in ascending order.\nAnswer: -2\/7, -0.02, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15 - -377828056.\nAnswer: 377828055.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 146131063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -19*v - 30. Let y be w(15). Calculate the remainder when 2\/((-10)\/y) - -2 is divided by ((-34)\/8)\/((-1)\/4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 2*b**2 + 2*b - 2. Let h be c(2). Suppose 2*m - 40 = -4*u - h*m, 4*m = u - 10. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 0.4, 0.002?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24913 by 4.\nAnswer: -24913\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5 - 2*z**4 + 396*z**3 + 1180*z**2 + 1174*z + 390 = 0.\nAnswer: -13, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 269 = 81. Calculate the lowest common multiple of y and 3.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2 + v + 2*v + (2 - 15 + 6)*(0*v - v + 0*v) to r*v + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 425071123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 22638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 306, 450, 592, 732, 870?\nAnswer: 1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3316, 3311, 3302, 3289?\nAnswer: 3272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 58, -0.8, 0.16?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/2)\/((-27)\/(-36))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9\/64, 2, -2?\nAnswer: -9\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - w**2 - w. Let v be b(-1). Let a = 7 - v. Let d be (a\/5)\/((-18)\/(-60)). Solve -22 + d = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230 and 7973040?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -22 (b) 18\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2473 + -2466. Suppose 3*w = 24 + 60. Calculate the highest common factor of w and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + 3 + 2 + -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gig when three letters picked without replacement from iisggssisggssgsyg.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((1\/3)\/(1\/3))\/(131138\/(-74936)). Let y be 34\/(-40) + (-2)\/8. Let t = -37\/20 - y. What is the nearest to t in m, 4, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2824 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 26 + 70 = 0. Let a be (20\/u - -3) + 1\/(-2). Solve o + a = 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10744?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 177, 8721?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -p + 19, -486*p = 3*t - 490*p + 7. Solve -12 = t*v, 5*v = m - 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -272 and 0.2?\nAnswer: -54.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*h = 3 + 15, -5*i - 10 = -4*h. Solve -1 = i*s + 5*t + 1, 0 = -3*s + 3*t - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -660 + 663. Sort -1\/6, l, -40 in decreasing order.\nAnswer: l, -1\/6, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1090 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/(45\/480).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3532.4 - -3532. What is the second smallest value in f, 3, 0.03, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-65) + 0 - 1174\/(-26). Is -5*(0 + -1) - (t - 4346) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1 = -3. Suppose 0 = -b*f - 6, 5*w - 5*f + 6 - 36 = 0. Suppose -p = w*k + 2, 3*k = 5*p + 1 - 27. Solve p*l = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 1:52 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309684 is divided by 28150.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*h**3*z**2 - 2*h**3*z + h**2*z**2 + 48*h*z wrt z?\nAnswer: 20*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-99)\/(-66) + (21\/35)\/((-2)\/(-17)). Factor 36\/5*a + j + 3\/5*a**2.\nAnswer: 3*(a + 1)*(a + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ratilatgttra. What is prob of picking 1 g, 1 i, and 1 l?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 22*z**2 + 20*z + 77. Let f(a) = 3*a**3 - 24*a**2 - 20*a - 77. Let c(b) = 3*f(b) + 4*k(b). Let v be c(-15). Solve s - v*s = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 50618 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, m: 5, c: 8, f: 1}. What is prob of picking 2 m?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50*y**5 - 294774*y**4 + 17*y**2 + 3*y + 89126 wrt y?\nAnswer: 3000*y**2 - 7074576*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3. Let r = z + -0.5. Which is the third biggest value? (a) -2 (b) -0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6384*b**3 - 3*b**2 - 648 wrt b?\nAnswer: -38304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.23 + 5.23. Put b, -2\/25, -8 in descending order.\nAnswer: -2\/25, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 22 + 13 + 3*y**3 - 20*y in the form u*y + m + o*y**3 + g*y**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 1) + 0 - -4. Let z(u) = -u**2 - 9*u + 2. Let o be z(-8). Let t be ((-4)\/o)\/(2\/(-15)). Solve s*q = 3*m - 15, 0 = -t*m + m + 3*q + 9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.051 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 859001882 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291.9 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*s**2 - 35*s**2 + 131*s**3 - 7 + 128*s**3 - 87*s**3.\nAnswer: 172*s**3 - 3*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109383 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1337 - 24?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -0.05, -4, 0.4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*n - 4*r + 79 = 0, 2*n = -r + 31. Suppose 46399999 = 2*h - n*x + 14*x, 4*x = 4. Round h to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 + 1837960?\nAnswer: 1837937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(612))**2*2*1*-4.\nAnswer: -9856 + 384*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 6:08 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1243*i + 8742. Let b be y(7). Solve 10*z = 39 + b for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6))\/((-1)\/2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10586594 to the nearest integer?\nAnswer: 3254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -17. Let r(d) = -3*d**3 - d + 4. Let l(q) = 4*q**3 + 2*q - 6. Let g(z) = i*r(z) - 5*l(z). Suppose g(t) = 0. What is t?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + (1*sqrt(2736))**2 + 4 - sqrt(2736).\nAnswer: 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(105)\/sqrt(5))\/sqrt(7).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 11:26 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -24. Let m = s + -8.952. Let h = m - 0.114. Round h to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 + 122. Let x = -39 + w. Let q(m) = -13*m - 21. Let s(z) = 11*z + 19. Let o(d) = 5*q(d) + 6*s(d). Determine o(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - w**3 - 6*w**3)*(-2 + 2 + 2*w)*(4 - 4 + 1)*(5 - 2 - 2) + (2*w**2 + w**2 - 2*w**2)*(-24*w**2 - 2*w**2 - 49*w**2).\nAnswer: -91*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*m - 5*m. Let y be (-2 - 3\/2) + m. Let v = 0 - 5. Which is the second biggest value? (a) 4 (b) y (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/9 - 406*c**2\/3 + 7056*c - 867104\/9.\nAnswer: 2*(c - 553)*(c - 28)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 136*p - 145*p - 12*p**2 + 7 + 14*p**2 + 20. Let a be t(5). What is the greatest common factor of a and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 24*d**2 + 3*d + 51. Let q be s(24). Calculate the highest common factor of q and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 9:55 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - x**2 + 4*x - 2. Let s be n(0). Let t = -23 - -22.95. Which is the biggest value? (a) t (b) s (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26623, -53201, -79771, -106327, -132863?\nAnswer: -159373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 1\/14*o**7 + 0*o**4 + 0 + 0*o**3 + 7*o + 0*o**6 - 3\/20*o**5 + 0*o**2. Suppose g(v) = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, x: 9, z: 1, k: 2, l: 4}. What is prob of picking 2 q and 1 x?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 6*j - 4. Let f = 5 + -9. Let o be s(f). Solve -o*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1408 and 616?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*k + 32. Suppose 4*n + 4*w = 2*w + 56, -3*n + 5*w + 16 = 0. What is the third derivative of 23*t**2 - n*t**6 + 4*t**6 - k*t**2 wrt t?\nAnswer: -960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 6*d + 8. Let x be n(6). Suppose 5*z + 3*l + 56 = 8, -4*l = -z - 28. Let q = 14 + z. Solve q*w = -x - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 69. Let p(y) = 5*y**2 + 2*y + 29. Let f(g) = g**2 + 2*g + 1. Let h(l) = -6*f(l) + p(l). Calculate the remainder when o is divided by h(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8491, 8488, 8483, 8476, 8467, 8456?\nAnswer: 8443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + f. Let d = -1755 - -1757. Let p(w) be the second derivative of -w**4\/6 + w**3\/3 + w**2\/2 - w. Determine d*p(t) - 6*u(t).\nAnswer: 2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*p + 33*p + 24*p + 54*p as h + o*p and give o.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 11:28 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 449115365 and 690.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - b**4 - 1 - 3*b**2 - 1 + 0*b**4 as m*b**4 + a*b**2 + k + h*b**3 + i*b and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 844*k + 2635 - 2635 in the form x + z*k and give z.\nAnswer: 844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 <= 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3200 + 3196. Which is the third biggest value? (a) 31 (b) d (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -848369*m**2 + 423995*m**2 + 424363*m**2.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - k + 1)*(-4 + 2 + 0) + k - k + k + 5*k - 3*k + k - 1 + 1 - 264*k + 125*k as s + x*k and give x.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 891496.6ml in litres?\nAnswer: 891.4966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1781*i**3 + 8*i + 32 wrt i?\nAnswer: -10686*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 - 1. Let c = 1.4 + -1.3. What is the second smallest value in 4, c, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 8) in base 14?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9081*j - 63573. Give v(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 8*w**3 - 15*w + 2. Let b(q) = 4*q**3 - 8*q + 1. Determine -5*b(v) + 3*t(v).\nAnswer: 4*v**3 - 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*t = -63, 4*t - 5554 = -3*y - 5363. What is the remainder when 161 is divided by y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 101101101100100 (base 2) to base 8\nAnswer: 55544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1310 + 141098*h - 70553*h - 70543*h - 2*h**5 - 657*h**2 wrt h.\nAnswer: -40*h**3 - 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2 - 76*y + 1340. Does 39 divide q(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3213.6 + -3739. Let p = g + 525. Are -0.6 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -16*u**2 - 8*u + 12. Let n = -31 + 17. Let t = n + 13. Let z(h) = h**2 - 1. Let k(g) = t*l(g) - 12*z(g). Determine m, given that k(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4162 + -4127. Let j be 0\/1 + (-4)\/(-2). What is the third derivative of -p*g**2 + 11*g**5 - 2*g**5 - 11*g**j + 18*g**2 wrt g?\nAnswer: 540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 12932*p - 1215621. What is t(94)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -15. Let v(f) = -2*f - 11. Let d be v(w). Suppose 14 + 46 = d*n. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p = -4. Let w = -3 + 14. Suppose -d + 0*d + w = 0. What is the remainder when d is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**3 - y**2 + 10*y - 7. Let l(j) = j**3 - j**2 - 4*j + 1. Calculate the remainder when z(-3) is divided by l(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -3*x + 32. Which is the second smallest value? (a) x (b) -6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33 + 3)*(1 - -3). Let y be t\/4*4\/(-6). Let p = y + -8. What is the remainder when 34 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1316, -2626, -3936, -5246, -6556, -7866?\nAnswer: -9176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 11*n + 3 + 18*n)*((5 + 0 - 3)*(48 - 114 + 50) - 2 - 1 - 5).\nAnswer: -280*n - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**5\/20 - y**4\/6 + y**3\/3 - y**2. Let n(r) = 4*r**2 - 5*r + 2. Let b(t) = -4*n(t) + 5*x(t). List the prime factors of b(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**6\/120 + a**5\/15 - a**3\/3 - 2*a**2. Let t be f(2). Suppose t*w - 12 = 4*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111101 (base 2) to base 3.\nAnswer: 11122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5530495291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 4*u**2 + 13*u + 2. Let b(o) = o**3 + 4*o**2 + 3*o + 6. Let s be b(-3). Let t be l(s). Does 11 divide (10\/t)\/((-2)\/(-88))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 249 and 8194.\nAnswer: 8443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 96 - ((-3 - (3 - 1)) + 145 + -152).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*g + 5*f - 10, 105 = 5*g + 5*f. Is g != 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/2042728 and 43\/755?\nAnswer: 10213640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 715 + -674. Which is the third biggest value? (a) -0.4 (b) 4\/13 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 3*h - h)*(8 - 5 + 15) + (2 + 3 - 6)*(h - 2*h + 4*h) + 2 + 2*h - 1 + 0.\nAnswer: -19*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -108*g - 670 + 1642 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 220311 (base 4) to base 3\nAnswer: 10120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1929*j + 60616 = -17849 + 9044 - 1952 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, g: 12, u: 2}. Give prob of sequence xu.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-1)))**(5\/6))**11*t*t**(-5\/6)*t*t**5*(t**(-1\/4))**(10\/3) assuming t is positive.\nAnswer: t**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 67, -1\/5, 4, -1, -1\/3, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u + u - 7*u + 6*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122102022121 + 10?\nAnswer: 1122102022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -433087, -866279, -1299461, -1732627, -2165771?\nAnswer: -2598887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*r + 9*r + 49*r + 360 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 109 = -4*f, 0 = -5*r + f + 20 + 84. Let j be (-5)\/r - (-3)\/9. Let k = 119 + -116. Which is the third smallest value? (a) k (b) -1\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-37)\/(-2))\/(71\/1562). Calculate the greatest common factor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 3*o**2 + o**2)*(-1 - o + 12*o**2 - o**2 + 2*o**2).\nAnswer: -52*o**4 + 4*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30898601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + p + 1. Let d be 10\/15 + (-1)\/(-3). Let k(x) = -x**3 - 6*x**2 + 7*x + 6. Let b(s) = d*k(s) - 6*y(s). Find the second derivative of b(w) wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75509 - 9665085\/128. Find the common denominator of 11\/12 and t.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10515 or -23118?\nAnswer: -23118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7)\/y)**(-42)*y**(-1)*y*y*y\/(y\/((y\/(y**(1\/7)*y*y))\/y*y))*(y**(5\/3)*y)\/(y*y**(2\/7)*y)*(y*y**(-1\/2))\/y**(-1\/4) assuming y is positive.\nAnswer: y**(2603\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2168.242 decades in years?\nAnswer: 21682.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(5) - -2*sqrt(5))**2*-3 + (sqrt(50) + sqrt(150)\/sqrt(3))\/sqrt(10)) + 4 + 6*((0 + sqrt(5))*6 + 2) + 1.\nAnswer: 30*sqrt(5) + 422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(21)*-1)\/(sqrt(252) + sqrt(252)*2 + sqrt(7) + -5*(sqrt(14)\/sqrt(2) + sqrt(7))).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smsmsmsmsssssswes. Give prob of sequence ws.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -23*n**3 - 3*n**2 + 5*n + 4. Is j(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = -5*r - 59098913 + 22087933, 7402208 = -r + 4*p. Round r to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 11) in base 2?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 12:40 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 + -24 - (1055 + -813).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2009515*w + 2009512*w - 2*p + 37, 256 = 29*w - p for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 0.8906853?\nAnswer: -8.1093147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1092 = -8*f + 21*f. Solve -17*y = -18 - f for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -632, -2481, -5660, -10277, -16440, -24257?\nAnswer: -33836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 20*c + 504 = 0. Calculate the remainder when 52 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9841 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/21*(-7)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -794 + 799. Solve 4*r + f = 19, 0 = -5*r + 7*r + 5*f - d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 8*k + 9. List the prime factors of c(6).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2748*m + 24 = 2760*m. Sort m, 0, -41, 46 in decreasing order.\nAnswer: 46, m, 0, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 1680*b**2 + 802*b**2 - 5*b.\nAnswer: 2482*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 7*m + c, 50*m + 56*m + 45 = -63*m + 167*m + 3*c for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1178, -2353, -3534, -4727, -5938, -7173?\n\"Answer: -g**3 + 3*g**2 - 1177*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -11 - (-77 + 140)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*x + 33. Let w = x - -46. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3636720.\nAnswer: 2, 3, 5, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 15057*g**3\/2 - 13*g**2 - 23*g. Let r be h(6). What is r rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/(-14))\/(1\/128) - -3. Let o = 140 + q. What is the smallest common multiple of o\/3 + 3 - (-6)\/9 and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.27 (b) 77 (c) 10.78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-196)\/18))\/(840\/2450*-5)\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 538080608 by 10347704.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1991 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/2*6\/5 + -2530. Let n = u - -1230. Let b = n - -3080. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47121.9798 to the nearest one thousand.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162470 and 951610?\nAnswer: 6661270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -1, 2, 3036.\nAnswer: -1, 0, 2, 4, 3036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-85)\/600 + 4\/(-10). Let j = -1\/8 + l. Does -0.12 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j*q**2*w**3 - 5*j*q**2*w + 9*j*w**3 + 6*q**2*w**2 + 3*w**3 + w wrt j.\nAnswer: -q**2*w**3 - 5*q**2*w + 9*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**5 + 3*r**5 + 10*r**5 - 2*r**4 + r**5 - r**4 + 4*r**4 + (0*r - 2*r + r)*(3*r**4 - 3*r**4 - 2*r**4).\nAnswer: 17*r**5 + r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((112\/35)\/(-4))\/((-240)\/180).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 - 6*v + 4. Let r(a) = 9*a**2 + 11*a - 8. Let s(o) = 7*i(o) + 4*r(o). What is the units digit of s(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 84*j - 3\/140*j**5 + 0 + 384\/7*j**2 - 144\/7*j**3 + 33\/28*j**4. Factor p(i).\nAnswer: -3*(i - 16)**2*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 3 (c) 98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 9 = 29. Solve 2*q - 23 = 5*q - x*a, -5*q + 2*a = 29 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 812652\/(-7025) + (-352)\/1100?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - 3. Let o(s) = s + 12. List the prime factors of o(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(8) + -1*sqrt(200) + sqrt(8)).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413460 is divided by 2617?\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/11987950 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5 + 9 = 0. Suppose x*g + 2*g = 684. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-566890)\/(-25) + 3)\/(48346\/(-5)). Let s = p - 5\/2102. Which is smaller: s or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 29*m**2 - 25*m + 28. Determine j(-30).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 0*r. Suppose -5*y = 3*h - 19, -2*y = 2*h - r*y - 6. Let s be ((-3)\/(-6) - h)*2. Solve 5*m - 12 = s*t + m, 2*t + 12 = -2*m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 n when two letters picked without replacement from {n: 1, x: 1, t: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33904207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1138)\/(-3) + 2 + 48\/(-36). What is the greatest common divisor of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3319 and 2?\nAnswer: 3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from elxlxlxehxmmlelx.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-1 - -6 - -1). Let c(d) = 8*d + 3. Let k(v) = -v**3 + 14*v**2 - 13*v + 11. Calculate the remainder when c(h) is divided by k(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -32003?\nAnswer: 31666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13234 at most 13510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1569 and -311984.6.\nAnswer: -310415.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 3 - 3)*(-2*v + v + 0*v) - 3*v + 4*v + v)*(3*v - 1 + 1) to g*v + p + f*v**2 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0061747028 rounded to four decimal places?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 106245731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*x - 11619, 10*j - 6*j + 4*x = 23244. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -1. Let l(w) = 3*w**2 + 8*w - 2. Let y(t) = 2*t**2 + 7*t - 2. Let k(o) = -3*l(o) + 4*y(o). Give k(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -63725313.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 179.9 + -208. Let g = 3.6 + v. Round g to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(56)*1)\/sqrt(8) - sqrt(1008)*-2) + ((2*sqrt(504))\/sqrt(12))\/(sqrt(6) + sqrt(6) + (sqrt(42)*-1)\/sqrt(7)).\nAnswer: -2 + 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 543 + 997. Let t = 5287 - d. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2248 + 2710. Calculate the remainder when n is divided by 152.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i\/(i*i*i**8*i*i))*i*i**(4\/11)\/i*i)**23)**(1\/2))**39 assuming i is positive.\nAnswer: i**(70863\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/2 - 1897\/(-813))\/((-2)\/(-69))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(3\/(-2)) - (-213)\/(-9). Let d be (189\/(-6))\/3*2. Let p = d - m. Solve -3*j + 0*o - p*o = 13, 2*j + o + 7 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378708 to the power of 1\/2, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235169598?\nAnswer: 2, 3, 67, 584999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.1, -0.06, -4, -1.6, -2, 65?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 0*i - 3*i + 24, 3*k = 4*i - 4. Factor 8*g**3 - 5*g**3 + 2*g**k - g**3.\nAnswer: 2*g**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2. Let b(g) = 41*g**2 - 30*g**2 - 24*g**2. Determine b(a(z)).\nAnswer: -117*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**2\/5 + 347*u\/5 + 258\/5 = 0.\nAnswer: -86, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 4. Let u be h(-3). Let z be 4\/(2\/15*u). Let v be (1 + -2)*5*-2. Calculate the greatest common factor of z and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3 = -13. Let g be 22\/5 - 6\/15. Suppose g*j - 4*c - 20 = 3*j, 3*j - 60 = -c. What is the smallest common multiple of j and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + n**4 + 0*n**3)*(-2*n + n - n) + 3*n - 3*n - 2*n**5 + 4*n**5 + n**5 - 7*n**5 + (-636 - 418 - 1054)*(-n**5 - 3*n**5 + 0*n**5).\nAnswer: 8426*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 - 5470323*h. Let v(w) = -9*w**2. What is r(v(t))?\nAnswer: 162*t**4 + 49232907*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6315 or -0.1?\nAnswer: -6315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24833.48 millimeters in meters?\nAnswer: 24.83348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -830 = -6*f + f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5959 and 3?\nAnswer: 17877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9943137?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324300 divided by 10.\nAnswer: -32430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 79 - 10)*(-5*r + 2*r + 0*r + 3 - 3 + 4*r + (4*r - r - 5*r)*(-4 + 6 - 3)) as o*r + y and give o.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(14) - sqrt(154)\/(sqrt(99)\/sqrt(9))) + sqrt(14))\/(-4*sqrt(112)))**2.\nAnswer: 9\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 618 divide 43439838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 4*p**2 - 12 + (0 + 0 + p)*(0*p + 3*p - 5*p) + p**2 - 4 + 4.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/((-255)\/75).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbxzxxbbxxzxxxx. What is prob of picking 2 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(2\/7)\/l)\/l)\/l**(-2))\/(l\/(l\/((l*l*(l\/l**(-3))\/l)\/l)*l)*l*(l**(3\/2)*l)\/l) assuming l is positive.\nAnswer: l**(-59\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260633 is divided by 224?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 759 - 750. Suppose 0 = -4*t - 2*h - 12, 4*h + k + 0 = -3*t. Let p(x) = -x**3 - x**2 + 3*x - 4. Give p(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Suppose -4*s + 0*s + 44 = g. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1219*z. Let t(f) = -29*f. Calculate -253*t(m) + 6*w(m).\nAnswer: 23*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9 (b) 0.3 (c) -2.9 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61206267323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 89 and -32.6.\nAnswer: -2901.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 b, 1 f, and 1 j when four letters picked without replacement from {j: 5, f: 2, h: 4, b: 2, n: 1}?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 552039567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00055198 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1331)*-3 + (-3 + (sqrt(99))**2)*-6.\nAnswer: -576 + 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 1. Let d(c) be the third derivative of -c**4\/24 + c**3\/3 + 22*c**2. Give -3*d(v) + 4*h(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340709?\nAnswer: 340709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)*g**12\/g)**30 assuming g is positive.\nAnswer: g**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2344*c**5 + 179*c - 1 wrt c.\nAnswer: 46880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 15 + 3. Let y be (12\/(-8))\/(3\/4). Suppose 1 = 3*w + 4. Put o, w, y in decreasing order.\nAnswer: w, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.583 - -3\nAnswer: 5.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16103, -16085, -16067, -16049, -16031?\nAnswer: -16013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.92 * 0.104.\nAnswer: 0.82368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 21*s = -3360. Let k = s + -194. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1215\/(-486) - (0 - 2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - c**4)*(-1 - 1 + 0 + (3 - 2 - 2)*(-3 + 5 - 1) - 1 + 2 + 0 + 1 - 8 - 1 - 4 + 2 + 3).\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143590213?\nAnswer: 13, 11045401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1371352 is divided by 1204?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let a(f) = -7*f. Let h(g) = 2*a(g) - 10*q(g). Let l(i) be the third derivative of -i**4\/6 - 2*i**2. Determine h(l(z)).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 2188340864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6172, 12286, 18400, 24514, 30628, 36742?\n\"Answer: 6114*u + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -12.47. Let f = n - 1.33. Sort -0.4, -0.5, f in increasing order.\nAnswer: f, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**5 - 15*x**4 - 10*x**3 + 10*x**2 + 15*x + 5.\nAnswer: -5*(x - 1)*(x + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u**2 + u**2 + u - 3*u**2 - u**3 - 5*u - 3. Let p be n(7). Let y = 5 - 5. Solve -4*s + y*s = f + p, 0 = 2*f + s + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + h + 9. Let t(k) = -k**3 - 3*k**2 - 2*k - 2. Calculate t(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1054 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 17)*(-6)\/8. Let s = -17 + r. Let t(j) = -j**2. Give t(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/63)\/((-10)\/90).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzhghhxzgxxhhhhhhhhh. What is prob of sequence ghg?\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38232 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 7526, -3 in increasing order.\nAnswer: -3, 40, 7526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h + 10*h + 169 - 601 = 7*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 388 - 390. Let j = 0.39 - 0.19. Which is the nearest to k? (a) j (b) 2\/13 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1721 (base 16) to base 15.\nAnswer: -1b4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 3395369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38556 and 70.\nAnswer: 192780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28536859?\nAnswer: 13, 23, 95441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45179 + 406613\/9. Let o = -0.6 - -0.4. Let u = -0.01 + 0.31. What is the nearest to o in u, 1\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/10)\/((-4)\/10). Let v = f - 6. Solve v = m - 5*l - 5, 5*m - 3 = 4*l + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 9. Let q be t(0). Suppose y - 18 = -0*y. What is the greatest common divisor of q and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (736\/(-44))\/(-4) + (-4)\/22. Let x be 6\/b*(-28)\/21. Let h(n) = -n**2 - 3*n. Let s(g) = -g**2 - 2*g. Determine x*h(k) + 3*s(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**3 - 16*m**2 + 9*m + 8. Calculate the remainder when 439 is divided by u(-5).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1947 rounded to 1 decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**5 + 21900*w**4 - 65718*w**3 + 65724*w**2 - 21909*w.\nAnswer: 3*w*(w - 1)**3*(w + 7303)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -9*v**3 + 10*v**2 + 52*v - 14. What is the hundreds digit of w(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178729982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 4520797?\nAnswer: 4520796.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 + -1) - (275 - 260)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.55 times -43?\nAnswer: 109.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.3, -2, -1\/1988?\nAnswer: -1\/1988","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3)\/p*p**(-4\/11)*p)\/(p\/p**(5\/6)*(p*((p\/p**11)\/p*p)\/p)\/p) assuming p is positive.\nAnswer: p**(223\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (148\/(-592))\/((-1)\/28*1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8300*q**4 + 1637*q**3 + 29114425*q**2.\nAnswer: 199200*q + 9822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 27*s - 25. Let t be 2\/s - (-4 + (7 - 3)). Solve -2*w - 16 = 5*g, 0*g - 2 = t*g + 3*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/3)\/(3*(-1)\/(-9)). What are the prime factors of -2 + r - (-2 + -2 + -95)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/64 - -1\/64. Let o = 4.4 - 0.4. Which is the third smallest value? (a) -4 (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 629271825 to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 - 13*w + 96 + 3 to c*w + r and give r.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 10*g - 3. Give j(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3264\/(-1904)*(-1 + 8)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 19*17\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18855954 and 5002?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, p: 6, a: 3, d: 2}. What is prob of picking 2 y?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 11*n**2 - 22*n - 9. Let h be (8\/(-5))\/((-205)\/1025). Calculate r(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose i = c - 3*i + 332, -4*c = i + 1311. Let f = c + 437. What are the prime factors of f?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 less than 117050?\nAnswer: 116916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30.7 - -22.3. Let i = u + -52. Sort -3, -2\/15, 0.2, i in descending order.\nAnswer: i, 0.2, -2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-42)*-7)\/(-2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1 - 35*t - 3*t - 9*t. Let x be l(-1). Let f = x + -30. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1903?\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Let t(x) = -x**2. Let d(a) = -2*a**2 + 1. Let o(p) = d(p) - 3*t(p). List the prime factors of o(n).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1217 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1208\/17 + 71. Suppose -4*b = -b. Let r be ((-1)\/(-2))\/(b - (-3)\/(-6)). Is l greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -123 and -0.24.\nAnswer: 29.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2332 - 80 = 218*r - 364 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4. Suppose -2*c + 257 - 55 = m. What are the prime factors of c?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s + 3*s)*(5 + 3*s - 15 + 6 + s**2).\nAnswer: 3*s**3 + 9*s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.4 (b) 0.5 (c) 0.2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/12*(-24)\/(-126). Let z = 3 + -4. Which is the closest to z? (a) 3 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -3*n - 4*m, -23 = 3*n + 2*m - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*-1)\/((-7)\/28). Let n(t) = -t - 5. Let g be n(o). Let x = 20 + g. Solve x*h - 2*h + 10 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 53.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + 1080\/(-70))\/(264\/(-28)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/24 and 137\/1530.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*g - 10 = -39*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.6 - 0.2. Let m = -4.7 + r. Let p = -6 - m. What is p rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 661 - 659. Which is the third biggest value? (a) -3 (b) -9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1137 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 6:45 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 - 4*n - 3. Let z be d(-2). Suppose 5*x - 99 + 20 = -3*q, -3*x - 2*q = -48. Let f(r) = 11 - 30 + 9 + r + x. Determine f(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 560, -597, -2534, -5257, -8772?\n\"Answer: -f**3 - 384*f**2 + 2*f + 943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 307, 259, 211, 163, 115, 67?\n\"Answer: -48*i + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -34*g + 23*g + 20*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3469262 and 422.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 3. Suppose 32 = 2*l - 2*p, 4*p - 19 = 5*l - 99. Let k(t) = -t**3 + 15*t**2 + 16*t + 5. Let o be k(l). Calculate r(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-2) + (-4)\/8. Let a be (-2 + (-30)\/12)*(-12)\/18. Let m(c) = 3*c - 1. Let t be m(2). Solve -z - 2 + 27 = -t*w, -2*z - a*w = v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 11, -13, -71, -175, -337, -569?\n\"Answer: -2*u**3 + u**2 + 9*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -59080725, -59080724, -59080723?\n\"Answer: i - 59080726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - q - 4*q + 4*q)*(0*q - q + 4*q + (2*q + 0 + 0)*(-2 - 3 + 6))*(4 + 2 - 3)*(-1 - 5 + 4).\nAnswer: 30*q**2 + 30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.3 + 11. Let f = 0.7 + k. What is the nearest to -1\/3 in f, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140136?\nAnswer: 2, 3, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 9:41 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + (sqrt(125) - (sqrt(125) + sqrt(125) + -1)) + (sqrt(125) + 0)*-5 - (1 + sqrt(35)\/(sqrt(1008)*2) + -1))**2.\nAnswer: 5047*sqrt(5)\/12 + 2627429\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) -1 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1287706 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*h - 54 + 138 = 0, 3*h = o - 27. Solve -4*w + 7*w = o for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 128*m**2 + 47*m + 27. Calculate the lowest common multiple of 30 and b(5).\nAnswer: 17310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/8)\/(240\/(-6624)*-69).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -52*n**3 - n**2 - 2*n + 7. Let r be x(9). What is r rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, h: 3}. What is prob of sequence chc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9308 - -0.21?\nAnswer: -9307.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 3, y: 3, w: 5}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 28.168\nAnswer: 27.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4834 = 5*k + 2066, 5*k + 1710 = u. What is the remainder when u is divided by 572?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/((-8)\/52*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 3*c + 216 = 2*a, 0 = 2*a + 5*c - 216. Suppose -5*p + a = j + 3*j, 108 = 4*j - 4*p. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 219\/1120 - -1\/224. Which is the third biggest value? (a) 0.9 (b) 3 (c) 1 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*l - 5*p, -3*l + 98 = -162*p + 160*p. Suppose a + 9 = 35. What is the greatest common divisor of a and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9319 by 1307.\nAnswer: -9319\/1307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21 - 0.3. Let m = 0.21 - r. What is the second biggest value in 1, m, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3746270 at least 3746270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -2, 51895 in ascending order.\nAnswer: -2, 38, 51895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3484937878\/836073 + -20\/92897. Let l = c + 4163. Find the common denominator of 39\/2 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*s + s + 17, -3*a - 2*s = 1. Suppose -6*c + 12 = -a*c. Let l = 1 + -1. Sort l, c, 2 in decreasing order.\nAnswer: c, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15999908 + -0.16. Round z to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/75*9)\/((10\/(-300))\/(5\/45)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76*181\/(168511\/294)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7013003 micrograms in grams?\nAnswer: 0.0000007013003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64362815921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 17 - 2. Suppose 10*c - 5*c + 3 = -j, 5*j + k = 5*c. Sort c, 5, -2 in descending order.\nAnswer: 5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5079 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12875 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzl when three letters picked without replacement from {w: 4, z: 7, l: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863975 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 16845*s**3 + 31*s**2 - 31*s + 3. Let k be u(1). What is the greatest common divisor of k and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1869949*d**3*g**3 + 3*d**3*g - 6*d**2 + 1313*d*g - g - 5 wrt g.\nAnswer: -11219694*d**3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1788 - 889 - 4*d - 894. Let y(o) = 43*o. Calculate v(y(k)).\nAnswer: -172*k + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2229403.\nAnswer: 11, 19, 10667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 13*d - 49. Calculate v(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) -1\/6 (b) -0.2 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3672147 and 3582.\nAnswer: 22032882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32921.2 millilitres in litres?\nAnswer: 32.9212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*x - 21. Let f(a) be the first derivative of -a**4\/4 - a**3 - 4*a**2 + 14*a + 51. Let g be f(-5). What is the greatest common factor of x and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455*p = -461*p + 18. Solve w - 8 = 2*g, -w - p*w - 33 = 5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-3)*2\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.72543 (b) 15 (c) -0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6584375 and 493750?\nAnswer: 3125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4232489 or 4232496?\nAnswer: 4232489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 t, and 1 r when four letters picked without replacement from {t: 2, b: 1, k: 1, r: 1, c: 2, i: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 1\/10*s**6 + 0 + 0*s + 0*s**3 - 1\/210*s**7 + 0*s**4 + 282*s**2 + 31\/60*s**5. Find the third derivative of n(f) wrt f.\nAnswer: -24*f + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -13*p**3 + 9*p**2 + 37*p + 6. Let f be c(-5). Solve 14*b + f - 1769 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o + 32 = -5*x, 4*o - 36 = 5*x. Suppose o*f - 603 = 5*r, -f + 4*r = -5*f + 576. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2090439 and 4180878.\nAnswer: 4180878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -3 (c) -0.1 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = 39 + 3. Suppose -2*n + v*t + 0*t + 43 = 0, 3*n - 4*t - 62 = 0. Calculate the highest common divisor of 98 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669472 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.99 - 11.5. What is y rounded to two dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 3:02 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p = -458 - 341. Do p and 46 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i + 284. Calculate the remainder when i is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259994462 to the nearest integer?\nAnswer: 16124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -7, -73673\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2507872?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40954 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -222*o**4 + 18*o**3 + 0 + 194*o**4 + 744*o**2 + 0 wrt o.\nAnswer: -672*o + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -9*l**2 + 12*l. Let p(k) = -26*k**2 + 34*k. Let c = -314 - -297. Let h(z) = c*u(z) + 6*p(z). Let f(s) = -6*s. What is h(f(b))?\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5435941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 530 = 3*c, 41*c = 46*c + 10. What is the remainder when p is divided by ((-22)\/(-6))\/(2\/18)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 1158, 19, 1, -1, 5 in ascending order.\nAnswer: -7, -4, -1, 1, 5, 19, 1158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*u + 131*u - 369*u + 35*u.\nAnswer: -477*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = 6*k - 57*k + 38 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0)*(-19*b**4 - 12*b**4 + 22*b**4).\nAnswer: 27*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 32*l + 44*l + 3*l - 78 + 61*l.\nAnswer: 2*(l - 1)*(l + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a kilogram in grams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j = -2, 2 = 4*v - j. Factor v + 2\/9*z**5 + 0*z**2 + 0*z**4 + 2\/9*z - 4\/9*z**3.\nAnswer: 2*z*(z - 1)**2*(z + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28286 is divided by 216.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (147\/12 + -2)\/((-8)\/(-32)). Suppose -f*m + 155 = -9. Solve 0 = 2*d - 2*i + 2 - m, 3*d - i - 5 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -11*s - 87. Let f be (8\/6)\/(32\/(-432)). Is 16 a factor of h(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0034220811 to 5 dps.\nAnswer: -0.00342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 3 - -1) + 3. Let u(q) = q - 3*q - 2*q + 5*q - 11. Let c be u(6). Sort -2, c, b in ascending order.\nAnswer: c, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139.3 - 139.354. Sort -1, -0.2, -0.1, l.\nAnswer: -1, -0.2, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in months?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -40. Let l(j) = -j**2 - 13*j - 19. Let m be l(-11). Suppose -4*z = -m*z - 12. Solve 0 = -2*v + 5*x - z, x - 2*x + f = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40490200?\nAnswer: 2, 5, 443, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, c: 2, e: 2, r: 3}. Give prob of sequence ara.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/57 - ((-72)\/54)\/4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-63))\/(35\/(-30))*(-12)\/10?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 35*j**2 + 29*j + 82. Let c(m) = m**2 + 5*m. Let p(s) = 6*c(s) - n(s). Find the second derivative of p(z) wrt z.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11570552615*w + 5785276310*w + 5785276300*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3*l - 15 = 0, -3309*n + 3313*n - 15 = l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 11*m**2 + 2*m - 4. Let x be f(2). Suppose -10 = 5*h - 5*b, 3*h + 24 = 5*h + 5*b. Suppose 2*k = -h*k + x. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*6*3*sqrt(1280).\nAnswer: 1152*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p - 3*p + 2*p)*(1 + 0 + 1) - 2*p + 3*p + 0*p)*(-1 + 10 - 15).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -11. What is the least common multiple of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 14*c**2 + 48*c + 14. Determine t(-11).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4}. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-96999)\/(-63) - (16\/(-12) + 2) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2416 is divided by 120?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1624115412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100)\/sqrt(4) + sqrt(25))*3 - sqrt(25))*1)\/(2*sqrt(245) + sqrt(5) + (2*sqrt(30))\/sqrt(6)).\nAnswer: 5*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-4 + sqrt(320)*-1 + -1)*5 + 3)**2 + -5.\nAnswer: 1760*sqrt(5) + 8480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**2 + 2\/5*v**5 + 2*v**3 + 0*v - 1 - 3\/2*v**4. Solve h(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -131 != -146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*d**2 + 22*d**3 + 70*d**2.\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*q**2 + 3*q**3 + 1 + 66*q**2 - q**3 as d + l*q**3 + m*q**2 + h*q and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 116*m + 1620. Let l be n(-14). Sort 9, l, 2, 59, 6 in decreasing order.\nAnswer: 59, 9, 6, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(39)\/sqrt(3)*1 + sqrt(13))**2.\nAnswer: -4*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1235504136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l**2 - 4*l - 7. Let s(f) = 5*f**2 - 3*f - 6. Suppose v = 6*j - j - 30, 3*j - 30 = 3*v. Give v*s(w) + 4*y(w).\nAnswer: -w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4)*x**(1\/2)*x)\/(x*x\/x**(-2\/5)*x\/x**(1\/4)))**(-22) assuming x is positive.\nAnswer: x**(1243\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 77.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51262.16 and 0.77708883.\nAnswer: 51262.93708883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from ufffffuffffff?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/168 and -139\/960?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 42 = -51. Solve c = y*a - 14, 2*a - 2*c = -5*c - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*t - 7516 + 7576. Let r(v) be the third derivative of 0 + 1\/210*v**7 + 0*v + 1\/12*v**t - 1\/6*v**3 + 13*v**2 - 1\/60*v**6 + 0*v**5. Factor r(g).\nAnswer: (g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/12 + 2\/(-8). Let j be (n\/(-6))\/((-2)\/(-12)). List the prime factors of 13\/j - 2\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8*f - 20 = 0. Suppose t - f = o - t, 8 = 2*t. Suppose -o*v + 4*u + 36 = 0, 2*v - 2*u = v + 7. 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 16, what is -10d8 + -418f?\nAnswer: -5267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9763 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 67236.\nAnswer: 67236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1795 - 1795. Is -50\/73 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -221 - -251. Let w = 12 + -7. What is the highest common factor of a and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338810213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -10*t - 2. Let l(i) = 9*i + 2. Let p(y) = -6*f(y) - 7*l(y). Let a = 27 - 16. Let v(x) = -8*x + 3 - 3 - 3 - 2. What is a*p(c) - 4*v(c)?\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (307842\/4)\/((-98)\/(-196)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4*(-1*sqrt(187) - sqrt(187) - sqrt(187)))\/sqrt(11))**2 + 3*((-1*sqrt(612))**2 + sqrt(153)\/(sqrt(9)*-2)).\nAnswer: -147*sqrt(17)\/2 + 4293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*h - 25 = -30, 11 = 3*v - h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24836?\nAnswer: 2, 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27, 235, 483, 717, 937, 1143?\n\"Answer: -7*x**2 + 283*x - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-1 + -7 + 16 + -12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1564*w**2 - 32836*w - 107. Calculate f(21).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/2)\/(38\/(-7600))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.34 and -187995375.65.\nAnswer: -187995380.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 14755949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19*644\/266)\/(2*-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 569 - -158. What are the prime factors of s?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10.2*-6\nAnswer: 61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -99*l**2 + 7*l. Let o(x) = 33*x**2 - 2*x. Calculate -7*o(h) - 2*r(h).\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242953 and 14079.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 27928 (base 13) to base 10\nAnswer: 74056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 21*u**2 + 42*u + 24.\nAnswer: 3*(u + 1)*(u + 2)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802155932.\nAnswer: 2, 89, 2253247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - (sqrt(288) + sqrt(288) + 2*sqrt(288)))\/(sqrt(4) - ((-1*sqrt(36))\/sqrt(9) - sqrt(4))).\nAnswer: -23*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m**2 - m**3 - m - 5*m**2 + 3*m**2 - 2*m. Let q(b) = b**2 + 32*b + 138. Let d be q(-27). Calculate a(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 1)*(-5*a + 0*a - a) + (-1 - 1 + 1)*(-2*a - 2*a + 5*a) to o*a + q and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 20 = 8*q. What is the second derivative of 2 + 34*t**4 - 30*t**q + 3*t - 2 wrt t?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -38, -0.4, 1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5103.723 micrograms?\nAnswer: 0.005103723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 270\/14 - 36\/126. Suppose 0 = 3*u - k + 4. What is the second derivative of 10*s + 3*s**5 - 4*s**u + 8*s wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10690\/3 + 3562. Put -0.6, a, 0.5, 0.1, -5 in ascending order.\nAnswer: -5, a, -0.6, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 31*c**2 + 6*c - 9. Is x(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415772528?\nAnswer: 2, 47, 59, 9371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/3)\/((-23217)\/(-218))\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (3 + 6\/(-4))*-84. Let b = v + 122. What are the prime factors of (-1 + -395)\/(b + 7\/2)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29348 - -29347.99999953202. What is h rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**3 - 31*z**2\/2 + 22*z + 29. Let r be d(10). Let a = 66 - 30. What is the highest common factor of a and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3423*k - 16037 = 185920 for k.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(-5*sqrt(48)\/sqrt(8)).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -491 at least -491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-10 + 25 + -7 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 83 = 99. Suppose -p*j + 5*m = -594, -9*m + 11*m - 4 = 0. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 1. Let b be j(5). What are the prime factors of 4\/4 + b*3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*x = -2*n + 35, 0 = 5*n - 5*x. Let z = 7 - n. Suppose w = -z*w. Is w greater than 4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 42*d**2 + 126*d + 121. Is x(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.3 + 4.3. Which is the nearest to m? (a) -3 (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2081\/2 + -41527\/40. What is the common denominator of -38\/5 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -656 + -34452333?\nAnswer: -34453322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**4 + 6*v**4 - 2*v**4 + (-49*v - 76*v + 3*v)*(v**3 - 3*v**3 - 2*v**3) as j + b*v**3 + c*v**4 + f*v + h*v**2 and give c.\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022681 divided by 239?\nAnswer: -4279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33530 from 16.\nAnswer: 33546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336*h = 317*h + 4161. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ab2 (base 14) in base 16?\nAnswer: -1db4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36301?\nAnswer: 31, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 9608620.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-785)\/(-25) - 6\/(-10). Suppose -5*r + 58 = -f. Calculate the greatest common divisor of 198 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 375.69438?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1539) + 1) - (sqrt(1539) + 0)*-2.\nAnswer: 5 + 63*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8694692 bigger than 8694693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71246581?\nAnswer: 7, 10178083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 13 + (-19 - -3).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14b63 (base 12) to base 10.\nAnswer: -29307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25189697.\nAnswer: 13, 47, 41227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*a = -2*a + 27, -19 = -3*y + 2*a. Let s be 7\/(-2)*(-8)\/y. Suppose s*j - 5*j + 5 = 0. Solve -j = l - 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -114014*b**3 - 4578*b**2 - 1526*b. Let d(y) = 224*y**3 + 9*y**2 + 3*y. Calculate -3052*d(s) - 6*x(s).\nAnswer: 436*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -905 (base 10) to base 16.\nAnswer: -389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 4*y + 6, -8*q + 6 = -7*q - 3*y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 2*k**2 + 3*k - 9. Let f(d) = -d**2 + d + 1. Let w(x) = -6*f(x) - n(x). Calculate w(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -751*m**3\/6 + 1681*m**2 - 148*m - 7. Differentiate d(u) wrt u.\nAnswer: -751","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18530 + 18524. Let n(r) = -6*r**2 + 2*r. Suppose -2*s = w - 0*s, s = w - 3. Let f(p) = 4*p**2 - 3*p**2 + 4*p**w - 2*p. Determine y*n(d) - 7*f(d).\nAnswer: d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26497760 or -26497762?\nAnswer: -26497762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 5*c + 33, 5*c - 22 - 3 = 0. Suppose 323 = o*y - 145. What is the greatest common factor of 13 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuwm when four letters picked without replacement from {k: 7, i: 1, w: 1, m: 2, b: 1, u: 2}?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7a - 4?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -c - 1. Suppose c*s + 2*i + i = -6, -s - 18 = -5*i. Calculate the common denominator of s - (-1 + (-4)\/(-11)) and -4\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 + 4*c**2 - 2*c**2 + 0*c**2.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x*x**(1\/4))))**(-1\/32))**11)**(11\/4) assuming x is positive.\nAnswer: x**(-605\/512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54430?\nAnswer: 2, 5, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/95809 and 5\/191618?\nAnswer: 191618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2314.7475 - 2314. What is n rounded to two decimal places?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 193.6 - 212. Let p = 23 + t. Let x = 0.6 - p. What is the smallest value in -4\/7, x, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -13. Suppose u*g = -g + 264. Is 44 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**5\/20 - u**4\/3 - u**3\/2 - u**2 - 12*u. Let n be k(-6). Calculate the greatest common factor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*q - 20 = -18, -3*q = -3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3. Suppose -3*j + 0*j + 15 = z. Let p = j - 3. Solve -p*d - 15 = -7*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 25 (b) 0.4 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30 and -11044.\nAnswer: 331320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**5\/30 + x**4\/6 - x**3\/2 + 14*x**2 - 9. Let n(a) = 2*a**2 + 5*a - 3. Determine 3*n(z) - 4*q(z).\nAnswer: -2*z**2 - z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 12) + 1 + (2 - 13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 10219*o. Let x(d) = -2*d. What is x(s(q))?\nAnswer: -20438*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 + (4 + 0 - 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from ekekeeekkkkk?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/21 (b) -0.0066 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*q = 94*q - 145. Is q equal to 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6960 - 2289835\/329. Let r = d - -6\/47. Sort -0.4, r, 0 in ascending order.\nAnswer: -0.4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -72 - (4 + (0 - 3)). Let o = -52 - l. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -60 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 144, 8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(3\/9*3). Let y(v) = 171*v - 339*v + 169*v + 4. Let p(m) = -1. Give j*p(l) - y(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -297*l - 45 + 17 + 28 + (1 - 2*l - 1)*(1 + 2 - 2) to i*l + n and give i.\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1386640 to the nearest 10000.\nAnswer: 1390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 6:46 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**2 + 288*y - 229. Let z be a(82). Is -3510 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414043 (base 6) to base 16.\nAnswer: 820b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*c**2 + c**3 - 15*c**2 - 3*c - 1 + 25*c**2 + (-5*c**2 + 4*c**2 + 3*c**2)*(0 + 0 - 7*c).\nAnswer: -13*c**3 - 6*c**2 - 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 8*x + 14. Let m be v(-10). Factor 10*r**2 + 15*r - 20*r**3 - 34 - m + 5*r**5 + 58.\nAnswer: 5*(r - 1)**3*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.017 + -0.137. Which is the nearest to u? (a) 5 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m**2 - 71*m - 3. Give q(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -10*d**3 - 7*d - 3. Let a(u) = 5*u**3 + 4*u + 2. Calculate -7*a(y) - 4*s(y).\nAnswer: 5*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**3 + 16*y**2 + 2*y - 7. Calculate s(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 3 - 3)*(-327 + 2*q + 327)*(3*q**2 - 3*q**2 + 2*q**3).\nAnswer: 16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24870276, 24870311, 24870346, 24870381?\nAnswer: 24870416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 4. Let i = 0 + b. Suppose 20*x - 43 = -63. Sort -3, x, i in decreasing order.\nAnswer: i, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 225.0525 + -0.0525. Let k = -225.00000598 + l. What is k rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 597972 by -4.\nAnswer: -149493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 4*j + 8 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 48334 times -1961\nAnswer: -94782974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(1\/(-4) + (-1863)\/(-7164)).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 - -47.5. Let p = s - -0.5. Let h = p + -11.5. What is the closest to -2 in 4, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -476 - -816. Suppose 505 = 5*m + k. Calculate the remainder when m is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) -43\/7 (c) 64 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2630921980.\nAnswer: 2, 5, 647, 203317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 34\/10 + 14\/(-35). Suppose 240 = o + x - 0*x, g*o = 3*x + 714. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (375\/(-1000))\/(3\/(-4)*(-1)\/(-18))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/33 and 43\/438.\nAnswer: 4818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20333000 rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w**2 + 1. Let k(s) = s**3 - 11*s**2 + 9*s + 9. Let a be k(10). What are the prime factors of p(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3 = i - 17, -3*m + 10 = -i. Let t(o) = -o**2 + 14*o - 43. Let x be t(8). Calculate the greatest common factor of m and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*t**2 + 10 + 20 + 20 - 50 - 2*t**3.\nAnswer: -2*t**3 + 33*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1.1. Let s = 0.3 - u. Suppose 43*d - 53*d = 50. What is the biggest value in s, d, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*r - 76*r = -n - 6, -3*n = -2*r + 16. Solve q = 5 - r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7761977827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 771.78 - 772. What is the fourth biggest value in y, -0.5, -5, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336467 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j + 75 = 0. Let b = j + -22. Solve -3*p - 6 + b = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-nine fifths of a milligram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 194*k + 11. Let a(g) = -g**2 + 198*g - 9. Determine 4*a(z) + 3*w(z).\nAnswer: 2*z**2 + 210*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(72)\/(sqrt(6) + (sqrt(54) - sqrt(6)) + sqrt(6)))*-3.\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/4 (b) -0.7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3865\/5156 - -1\/2578. Which is the biggest value? (a) 3 (b) 0 (c) -0.008 (d) 5 (e) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from {e: 2, a: 2, k: 3, q: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 divided by -6?\nAnswer: -373\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.3 + -1.3. Let m = -4\/9 - -1\/9. Which is the closest to m? (a) 1 (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 18*a**2 + 16*a - 2. Determine i(-17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109\/5 smaller than 422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27\/578 - 6625\/191318. Let u = 24793\/2648 + y. Let j = 473\/2088 - 1\/232. What is the common denominator of j and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4447.407t in nanograms?\nAnswer: 4447407000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 115709 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070890 times -321?\nAnswer: -343755690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 608*m - 6064. Calculate c(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 802414 to the power of 1\/2, to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3485389 is divided by 1161759.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -401, -2, 53, -11, 4 in descending order.\nAnswer: 53, 4, -2, -11, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-324)\/8*(-123)\/369*(-2)\/6\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -2. Let z = 1 - w. Let u(h) = z*h - 3*h + 0*h - 3 - 3*h + h**3 + 4*h**2. Determine u(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**3 + 7004*o**2 + 3062496*o - 3069504 = 0.\nAnswer: -876, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6197591?\nAnswer: 19, 326189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 201?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 256.52 - 256.5. Which is the biggest value? (a) 39\/2 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - m + 550 = 4*m, 220 = -2*f + 5*m. Let r = 192 + f. What is the remainder when r is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 334343433 - -12?\nAnswer: 334344000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -117*r**5\/10 - 3*r**4\/4 - r**3\/6 - 103*r**2. What is the second derivative of f(z) wrt z?\nAnswer: -1404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*u - 7*u. Suppose -u = x, -5*x = -6*q + q. Which is the third biggest value? (a) 3\/2 (b) -2\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -147, -147, -139, -117, -75, -7, 93, 231?\n\"Answer: l**3 - 2*l**2 - l - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103947 + -12214. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -50143.9 (b) -3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 15497*i - 124157. Give a(8).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 62 + 119 + 2684*f**3.\nAnswer: 2684*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 243\/875 + 1\/125. What is the second smallest value in 81, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 485839?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.87 to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (1 - 27) + 4. Let g = p - -34. What is the remainder when 141 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623126 is divided by 388?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/6)\/(3\/9))\/(60\/(-20))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c**2 + 14*c + 71. List the prime factors of d(26).\nAnswer: 3, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + 1.1. Let k = -1.5 + 1. Let y = 158 + -162. Which is the second smallest value? (a) k (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + 38. Let d = l + 34. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93500 is divided by 23344?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -5. Suppose -3*v = -5*d - 19867, -3*d = v - 1187 - 5440. Let t(c) = v - 6624 - m*c. Let k(q) = 2*q**2. Determine t(k(i)).\nAnswer: -44*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*2 - sqrt(96))\/(sqrt(84)\/(-2*sqrt(7))).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 13*s - 12. Let w be p(14). Let v = -60 - w. Let h be v\/2*(-2)\/(12\/6). What is the third biggest value in h, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*x - 42*x = -15*x + 1331 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 3*x - 40 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 2. What is h(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17\/14? (a) -91 (b) 0.5 (c) -1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + -5. Let x be (-4)\/14 + i\/(-14). Let u be 1 - -1*(x - -1). Solve -2*w + 1 = 2*w + p, -2*w - u*p + 13 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 37\/2 of a microsecond?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(448) + 0) + sqrt(448) + -3 + 2*sqrt(448) + sqrt(448))**2.\nAnswer: 96*sqrt(7) + 1801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6375 and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3026 is divided by 394?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1116 + 34602\/31. Is 1\/2 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 73*t**2 - 8*t + 153. Is h(55) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -207 + 207. Suppose 3*q + 30 - 99 = k. Solve 4*w - q = -7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -15, -q - 2*l - 2*l - 16 = 0. Let y be (-3)\/(-6*(-1)\/64). What is the units digit of q\/(-6) + y\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 12*l**3 + 51*l**2 - 127*l - 14. Let b(o) = 5*o**3 + 22*o**2 - 63*o - 6. Calculate -14*b(k) + 6*j(k).\nAnswer: 2*k**3 - 2*k**2 + 120*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2920 and 188194000.\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/140)\/((-3)\/(-2)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j**3 - 24*j**3 + j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-8)*4\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and 106.\nAnswer: 9328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/370 - -537\/185. Calculate the common denominator of h and -105\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**3 - 5. Let j be (1 + -3)*(2 + -1). Let n(q) = -q**3 - 1. Suppose 3*r + 2*r + 41 = 4*t, -13 = -t + 4*r. Calculate j*b(g) + t*n(g).\nAnswer: -g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 166\/3 - 56. Let g = 351\/5 - 70. What is the closest to 4 in a, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 13*i**4\/12 + i**3\/2 + 61*i. Let w(v) = 26*v**2 + 7*v. Calculate -7*j(m) + 3*w(m).\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/2))\/y)**(-2\/29)*y\/((y\/(y**(2\/23)*y))\/y)*y\/((y**(-3)*y)\/y) assuming y is positive.\nAnswer: y**(4037\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 61.04 and 0.2?\nAnswer: 60.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -8) + 0 + (1 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + i + 60. Let c = i - 10. Suppose c*f - 66 = -4*a + 3*f, 3*a + 5*f - 67 = 0. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h = 14. Suppose -h + 1 = -3*k. Suppose -t = k, -2038 = -4*d - 2*t - t. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703543 is divided by 140456?\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-40))\/(1\/2 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3919 is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220 - -10?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216 - 216 - 14*c**3 + 13*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1146987 less than -1146993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5 + 10 + 29 + 30*j - 5*j - 21*j. What is k(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30*(0 - 8\/(-40)). Let x(d) = d**2 - d. Let w(i) = 3*i**2 + 2. Let n(m) = w(m) - 5*x(m). Let j(g) = g**2 - 1. Let l(s) = j(s) + n(s). Give l(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/406318 and -59\/220.\nAnswer: 4063180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 628237185?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**2 - 9*p - 1. Let b(m) = -m**2 + 0*m**2 - 23*m - 7*m + 28*m. Suppose 4*s - 7 = -43. What is s*b(f) + 2*q(f)?\nAnswer: -f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 207 and 8028.\nAnswer: 184644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 - 9*u + 9*u + 13*u**3.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + -1)*-3 + sqrt(57)\/((sqrt(3) - (2*sqrt(147) + sqrt(147))) + sqrt(3)))**2.\nAnswer: -3084*sqrt(19)\/19 + 264367\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/36 - (-16)\/9. Let b be 3 - f\/(0 - -2). Let d(z) = -4*z - b*z - z. Determine d(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 - 2) + 7 + (-117)\/(-18) and -36\/13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4656 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 594 + 222 = 0. Is m a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 171. Let n(o) = -10*o + 20*o - 6*o - 3*o. Determine c(n(k)).\nAnswer: -2*k + 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 26. Let h = v - -8. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 2:46 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 6 + 0*d**2 - 4*d - 6*d. Suppose -2*q = 4*n - 18, 5*q + 15*n = 12*n + 66. What is the tens digit of j(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 48.9171 rounded to 1 dp?\nAnswer: 48.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cci.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4057 by 106.\nAnswer: 4057\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/28 - (-6)\/12. Which is the nearest to -3? (a) 4 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*p + 19*p + 60 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4564210 divided by -20?\nAnswer: 456421\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 158 + 766 = 0. Suppose -10*z + 66 + g = 0. Calculate the remainder when 24 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 186972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (234\/(-45) - -5)\/((-1)\/50)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5 + 236*c**4 + 6092*c**3 + 18118*c**2 - 63885*c - 155250 = 0. Calculate c.\nAnswer: -207, -25, -5, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 6*a**2 + 10*a - 16. Give h(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -11 (b) -1\/40 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -12*w**3 + 157*w**2 - 10*w - 37. Let g be t(13). Solve 0 = 3*h - 2*j - 11, 2*h + 3*j + 8 = -g*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, w: 9}. What is prob of sequence wwlw?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -1, 43, -53, -4 in ascending order.\nAnswer: -53, -17, -4, -1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/9*(-213)\/(-2).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 8)\/10*2\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2460 divided by 6.\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -864 divided by -54.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 2)*4\/(-2). Suppose 0 = b*q + 2*q - 8. Let n = q + 17. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5001784 to two dps.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sryb when four letters picked without replacement from {r: 2, y: 5, s: 8, z: 2, b: 3}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 76 - 3*l**2 - 4*l**2 + l**2.\nAnswer: -2*l**2 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 14*g**2 + 1 + g**3 - 3*g**2 - 9*g**2 - 8*g**2 + 6*g. Suppose 9 + 16 = 5*w. Calculate z(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 70, 123, 1\/3, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + n + 10 = -9, 5*u + 8 = 4*n. Sort u, -11, -3 in increasing order.\nAnswer: -11, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 85 = 0, 4*r + 276 = -4*n + 260 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 44. Let l(j) = -7*j**2. What is l(b(u))?\nAnswer: -7*u**2 - 616*u - 13552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 3, -3, 193, -4, -2, -5 in increasing order.\nAnswer: -5, -4, -3, -2, 3, 19, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (540\/32)\/15 - (-1)\/(-4)*4. Let v(i) be the first derivative of 1\/12*i**3 + 5\/16*i**2 - j*i**4 - 1\/48*i**6 - 1\/10*i**5 - 30 + 1\/4*i. Factor v(w).\nAnswer: -(w - 1)*(w + 1)**3*(w + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7815811, 15631591, 23447369, 31263145, 39078919, 46894691?\nAnswer: 54710461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589233617?\nAnswer: 7, 17, 109, 45427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, c: 1, x: 1, r: 1, m: 5, k: 2}. Give prob of picking 2 t and 2 k.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38457 or -0.4267?\nAnswer: -0.4267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -49*r + 200. Suppose 4*k - 1 = -5*n, k + 23*n - 13 = 26*n. Determine g(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21\/14)\/(15\/40). What is the highest common divisor of r and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + -7 - -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75312 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: Is 1146541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**5\/660 - i**4\/44 - 4*i**3\/33 - 6*i**2. Factor u(c).\nAnswer: -(c + 2)*(c + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 + 63. Solve 2*g = 2*j, x*g + 3*g + 9 = -4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1149216748?\nAnswer: 2, 19, 31, 487783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2. Let p = -7 - -9. Suppose 2*i + 4 = 0, -p*b - i = -2*i - 8. Let g(c) = 14*c**2 - b*c**2 - 1 + 1. Determine a(g(z)).\nAnswer: 242*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2144*g**3*r**2 - 2*r**2 + 1812 with respect to g.\nAnswer: -6432*g**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4939.108 - -4923. Round c to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73187 is divided by 342?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 11*o**2 + 2*o. Let b(x) = -5*x**2 + x. Let w(a) = 2*a**2 - 33*a - 59. Let m be w(18). What is m*b(c) + 2*t(c)?\nAnswer: 2*c**3 + 3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24, 4, -28, -78, -152, -256?\n\"Answer: -l**3 - 13*l + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from kiill?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 7) + -20 - (10 + 1 + 1)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-10)*2\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4050 + -114554?\nAnswer: -110504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bayxbyabayb. What is prob of sequence yaxa?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -44*v + 762. Determine y(21).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1311\/76)\/(1\/(-4)). Let p = 71 + y. Solve -2*i + 2 = -3*j, p*j + j + 4*i - 4 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 90 + 6. Let k be y\/(-18)*(-2 - 1). Suppose -k*m + 10 = -5*m. Solve 0 = m*n - 4*r + 5, -2*n - 30 = -3*r + 7*r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 12:47 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.795 + -0.695. Let x = 2 + -1.5. What is the nearest to 0 in x, 11\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5332 and 433096.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 - 756 = -5*j. Calculate the greatest common factor of 30 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5642 and 16198.\nAnswer: 502138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66664*-3.\nAnswer: 199992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 0*t - 52. Let i = 17 - t. Differentiate 7 - 2 + i*z**2 - 3 with respect to z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-4)*r*r*r)*r**(1\/3))\/(r**0)**39 assuming r is positive.\nAnswer: r**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 23*r**3 - 5 - 62*r**3 + 7*r**2 - r + 19*r**3 + 21*r**3. What is g(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20 or -582\/25?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -39027.\nAnswer: 1\/13009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -120 - -25 - (141 + -340)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/3 (b) 21 (c) 0.4 (d) -116\/3 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 788.9244 years?\nAnswer: 7.889244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -55746, -148261, -240764, -333249, -425710, -518141, -610536?\n\"Answer: v**3 - 92522*v + 36775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -71*u**2 - 3*u - 4. Let k be c(-1). Let t = k + 77. What is the remainder when 24 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 96*a**3 - 196*a**3 + 99*a**3 - a**2 to v*a**3 + p*a**2 + z + m*a and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.055848 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aka when three letters picked without replacement from amataki.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-4)\/5)*(-8)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 392879.5 meters?\nAnswer: 39287950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 d, and 2 m when four letters picked without replacement from lmdlllllblmdlmlmldl.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 290\/(-150))*5\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*s - 12, -5*h + 16 = -h. Suppose -55*g - 2*l + 8 = -54*g, 4*g - 10 = 3*l. Solve -3*m = -s*m - g*c + 17, 3*m = -5*c + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3083*h**2 + 3 + 0 + 1373*h**2 - 3 to the form o*h + k*h**2 + x and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 22151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 478589863 to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335*w + 136 = -162*w - 156*w. Let x(u) = 4*u - 46. Let y(r) = -r + 9. Let l(c) = -3*x(c) - 16*y(c). Determine l(w).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31718191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -407, -406, -403, -398, -391, -382, -371?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11012 (base 3) to base 6.\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1439 - -1439. Put 2, 100, c in increasing order.\nAnswer: c, 2, 100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 2*q**3 - 16 + 4)*(-7*q + 31*q + 8*q).\nAnswer: 96*q**4 - 384*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*k - 97*k + 615*k + 1083*k + 85*k.\nAnswer: 1794*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k + 3*k + 4*k. Let f(i) = i. What is f(n(d))?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-520)\/(-8))\/(-5)*2\/4*2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 0*k + 4 - 3*k - 1 + 0. Let a be m(2). Suppose 4*w = 4*s - 40, w = a*s - 10*s + 80. Calculate the highest common factor of s and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.6 + 10.43. Let y = 1.37 + s. Sort 3\/4, 0, y, -2 in increasing order.\nAnswer: -2, 0, y, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/9 + 59*d\/9.\nAnswer: d*(d + 59)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -10) + (-3 - -6) + -10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15624*t**2 - 8914*t.\nAnswer: 31248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3, -4, 6\/37 in increasing order.\nAnswer: -4, -3, -0.1, 6\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-6 - (-60)\/48*42\/15). Solve -2*v - 4*j + 3 = 1, 21 = -y*v + 3*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77 - -93.3. Let j = -16.4 + c. What is the closest to 92 in 0, -1, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 + 3 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 94.31049 centimeters?\nAnswer: 0.9431049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**5\/15 + p**4\/24 - 3*p**3\/2 + 2982*p**2. Let k(y) = 9*y**2 - 3*y + 19. Determine -2*k(x) - 5*w(x).\nAnswer: 2*x**2 + x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 337 = 87. Let h be ((-30)\/t)\/((-1)\/5). Is h != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 16*a. Let z(o) = -8*o. Determine x(z(k)).\nAnswer: -128*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 9611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 9 + 5 - 2*d - 7*d + d. What is the units digit of y(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 4235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -279, -1077, -2631, -5193?\nAnswer: -9015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.5 (b) 1 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0 = -24. Differentiate -14 + 40 - h*d - 18 with respect to d.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**3 + 2*u**3 + 3*u**4 - u**4 + 6*u wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, 5, 0, -2, 3, 2 in decreasing order.\nAnswer: 5, 3, 2, 0, -2, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 5*o - 1. Suppose 3*p + 0*p = -6. Let v be 33\/(-7) + p\/7. What is z(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q**2 - 1 + 4*q**2 + q + 14*q**3 + 4*q**2. Let h be x(1). What is the highest common factor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, b: 4}. Give prob of sequence ii.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -300\nAnswer: 1\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47121*x**4 + x**3 + 896363*x**2 wrt x?\nAnswer: -1130904*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1486, -2980, -4474, -5968?\nAnswer: -7462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*x - 5*a - 37, 3*x = 5*a + 30. Let q be 1\/x + 2148\/60. Calculate the highest common factor of 27 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125\/2 at least -4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/51399337?\nAnswer: 2\/51399337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -678.5*5.\nAnswer: -3392.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -13. Let c = d + -8. Let a = -3 + 7. Calculate the remainder when a is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (19 - (2 - 5)). Let o = -12 - d. Solve -2*v - o = h, -6*h - 5*v = -h + 30 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405)*-5)\/sqrt(9))\/(sqrt(90)\/(sqrt(10) + sqrt(70)\/sqrt(7)) + sqrt(9)))**2.\nAnswer: 500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 times 702.2?\nAnswer: 182.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2640213829 to the nearest integer?\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63.55 + -62. Round b to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 1 (b) -10 (c) -122 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 2*i - 2, 2*w - 3*i = 2*i + 23 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 1)**2 + 4.\nAnswer: 4*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 21*t - 2*t = 3*y - 161, -t = -2*y - 0*y - 0*t + 19 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**4\/42 + 23*t**3\/21 + 24*t**2\/7 + 844*t. Factor q(p).\nAnswer: -2*(p - 24)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-36) - (-23)\/3. Suppose -g*v + 753 = -5*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9052 divided by -248?\nAnswer: 73\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 655 = 5*f, 0*q - f + 256 = -2*q. Let l = -209 - q. Let a = 112 + l. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**2*n*w - 27*d**2*n + 11*d**2*w + 3*d*n + 5*d*w - 2*w wrt n.\nAnswer: -d**2*w - 27*d**2 + 3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6183852 - -0.5.\nAnswer: 1.1183852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = 4*t, -6 = -4*v + 4*t + 34. Solve -v = 5*g - 0*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -89, -75, -47, 1, 75, 181, 325, 513?\n\"Answer: a**3 + a**2 + 4*a - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 4 + 4)*(-3 - 4 + 6) + 14*c - 39*c + 19*c + 2*c + c - 2*c + (-1 + 1 - 2)*(0*c - c - c) - 3*c - 2*c - 4*c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 1) + (178 - -2491) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from kiwzjkuzukz.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/36 and 55\/2469624.\nAnswer: 7408872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -301363463 and 7912?\nAnswer: 301371375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 253486590 a multiple of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 19 = o, 0 = 2*o - 5*g + 2*g + 10. Let c = 6 - o. What is the remainder when 1\/3 - 70\/(-6) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*p**3\/2 - 1422*p**2 - 2658*p - 1648 = 0.\nAnswer: -2, -824\/505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0*m)**28)**(2\/33) assuming m is positive.\nAnswer: m**(112\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538961?\nAnswer: 71, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = 6. Let m = -266 - -263. Which is the closest to -1? (a) -1 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 368 and 146878?\nAnswer: 1175024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**5\/20 + 4*w**4\/3 + 17*w**3\/6 + w**2 + 6*w. Let g be z(17). Solve -2*y = -4*y - g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 337 + 59 = 0. Calculate the greatest common divisor of w and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t + 27. Let r(u) = 38*u**2 + 2. Give p(r(m)).\nAnswer: -190*m**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 + 107. Calculate the smallest common multiple of t and 2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 924.7 - 1039. What is t rounded to 0 dps?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896283?\nAnswer: 3, 53, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 562 = -2788. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -1410?\nAnswer: -1409.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2)*1)\/((-86)\/43)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*j + 12 = 0, 0 = -3*u + 2*u - 3*j + 13. Let w = -44.2 - 14.8. Let l = w - -49. What is the closest to 1 in -1, u, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**4 + 247867*r**3\/3 - 351166*r**2\/3 + 61973*r\/3 + 41314\/3 = 0. Calculate r.\nAnswer: -20657, -1\/4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 3*m - 2*m - 14 + 13*m**2. Let k be q(3). Let i = 150 - k. Solve -4*w + i = -6*t + t, 19 = w - 3*t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + 11. Suppose -177 = -5*o - g. What is the remainder when o is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {g: 1, l: 6, o: 10}?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7754765 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: List the prime factors of 438205.\nAnswer: 5, 87641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 512368333 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29517.24 micrometers?\nAnswer: 0.02951724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 e, and 1 r when four letters picked without replacement from {k: 1, j: 5, r: 1, e: 2, q: 11}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duupbbddubdujpuqpqu. What is prob of sequence dbb?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 778558.1 micrograms to milligrams.\nAnswer: 778.5581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h - 3. Let x(k) = -18*k + 10. Let d(y) = 2*x(y) + 7*z(y). Let i(m) = -4*m - 7. Give 6*d(s) - i(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -85 times -1\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 1306 in decreasing order.\nAnswer: 1306, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*i - 15, 3*y - 7*y + 3*i = -12. Suppose 3*k - 5*t = -34, -17 = y*k + 2*t + 24. Let r = 8 - k. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 44.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*((-4)\/3 - 2\/(-6)). Let o(w) = w**3 + 4*w**2 - 4*w + 2. Determine o(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 925.2 and -831661463.\nAnswer: -831660537.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + d + 8. Suppose -3*q + 16 = -k + 6*k, -3*q + 26 = -5*k. Let l = q + 7. What is the smallest common multiple of r(0) and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 4:51 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52\/45 + -14\/9. Suppose 7 - 19 = 5*i - f, i - 4*f = 9. What is the third smallest value in 0.5, i, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6194 = 2*m + 4*b, -19*b - 9227 = -3*m - 17*b. What is the highest common factor of m and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*i + 14*i + 11*i)*(0*i**2 - i - i**2 + 2*i**2).\nAnswer: -7*i**3 + 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -17.3. Let g = -60.8 + 60. Let q = 9.2 - g. Which is the biggest value? (a) -5 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 319536\nAnswer: -1\/35504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1567 and 117.\nAnswer: 183339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + ((-2262)\/(-195) - (-4)\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588974 at least as big as 1588946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1929 + 1929. Let i(s) be the third derivative of -11*s**2 - 1\/15*s**5 + 0 + c*s + 1\/24*s**4 + 0*s**3. What is the second derivative of i(o) wrt o?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -29\/9 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from {u: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -13\/8533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2. Let m(y) = 50*y**2. What is m(t(u))?\nAnswer: 450*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 331*x**4 - 220*x**3 + 107218.\nAnswer: 1324*x**3 - 660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1334 or 0.185?\nAnswer: 1\/1334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -6119956 in descending order.\nAnswer: 2, -2, -6119956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 + 0*f**3 - f**3 + (f**2 - 4*f**2 + 2*f**2)*(-6*f + 4*f + 0*f) + 3*f**3 + 4*f**3 - 6*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 368*p. Let a(x) = 15*x**2. Calculate o(a(f)).\nAnswer: 5520*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-6)*(-42)\/56. Let g be ((-8)\/(-10))\/(c\/10). Suppose y = g*y. Solve -5*d = 4*u - 45, 5*u = 4*d - y*d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6 times 1?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0)\/((-3)\/(-6)). Let u be g + 1 + -2 - -2. Suppose -2*s - u*t - 42 = -5*s, 3*s - 54 = -3*t. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-174)\/(-435)*(-15)\/4\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - t**2 + 4*t + 4. Let y be v(-3). Suppose 12*f = 10*f + y. Suppose 123 = f*h - 157. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((1848\/(-2))\/((-22)\/1815))\/((-3)\/(-2)). Calculate the highest common divisor of p and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1854384043.\nAnswer: 1854384043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -124 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245784342.\nAnswer: 2, 3, 19, 193, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 36932187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 - t**3 - 189*t - 106*t.\nAnswer: -t**3 - 295*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*t**3 + 13273*t - 6635*t - 6638*t + 2.\nAnswer: 28*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/10 and (-8)\/16 + 114\/(-20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.47 + -0.03. Suppose 0 = -0*m + 4*m - 32. Suppose -2*q = 3*r + 24 - m, 31 = -5*q - 3*r. What is the third smallest value in -2, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from irimmrmmirr?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**4 - 87157*l**3 + 57*l**2 + 2*l + 15257487?\nAnswer: -12*l**2 - 522942*l + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z + 7462 = 0. Let s = -37279\/10 - z. Calculate the common denominator of -33\/20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(4) + sqrt(1024)) + (0 + -5 + -1 + sqrt(19))**2.\nAnswer: -203*sqrt(19)\/17 + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(1040\/45)*-16\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86833203859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012936247 to five dps.\nAnswer: 0.01294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 11*r - 9. Let z be g(-8). Let l(d) = z*d**2 + d - 6*d + 3*d. Is l(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91*c**3*f**2*z + 94*c**3*f**2 + 2*c**3*z - 165*c**2*f*z + c + 34*f**2 wrt c.\nAnswer: -546*f**2*z + 564*f**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2\/8*22*(0 + 12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 532.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/10 - (-2)\/5. Suppose 0 = 4*n - o - 11 + 5, -5*n - 4*o - 3 = a. Solve 0 = 3*y + 4*z + n, z - 1 = 3*y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -5, 1 in increasing order.\nAnswer: -11, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 136298560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 320 and 36770.8?\nAnswer: 36450.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/800 and -47\/185920?\nAnswer: 929600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 5, -4\/9, -15\/7 in ascending order.\nAnswer: -5, -15\/7, -4\/9, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -279*w**2 - 5*w - 7. Let p(l) = -282*l**2 - 4*l - 6. What is 7*p(t) - 6*s(t)?\nAnswer: -300*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8700?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 82 + (0 - 0)\/(-1) - 2. What is the greatest common divisor of w and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from {m: 1, j: 9, b: 4, g: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -2\/89, -3\/8, -2\/19, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.49 - 0.99. Suppose 4 = a + 10. Let b be a\/28 - (-3)\/6. What is the nearest to -0.1 in -5, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**4\/4 - v**3\/3 + 7*v**2\/2 - 40*v + 311. Give w(0).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 57, 3, -28, 1\/4.\nAnswer: -28, 2\/9, 1\/4, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1657*z - 1663*z - 264 = -3309*z for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002615 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21221.97 litres to millilitres.\nAnswer: 21221970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.47 - 2.53. What is the second smallest value in 4, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + n. Let v = -39 + 35. Let g(a) = -3*a**3 - 4*a**2 - 4*a. Give v*x(o) - g(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 71541?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84375 and 15795?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpxpxxxxxxxxxppxxp. Give prob of sequence ppp.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 17*y + 12. Let o be -3 + -3*38\/(-6). Let n be r(o). What are the prime factors of 44\/n*(3 - 4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26956 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -32*i**2 - 4*i - 7. Let y(h) = -33*h**2 - 4*h - 8. Let o(s) = 6*f(s) - 5*y(s). Let v be o(4). Let t = 3595\/8 + v. Is t at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-15))\/(384\/17280).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/5*3*-4*(-1)\/(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56\/22605 - 2\/137. Let b be 9\/((-1485)\/332) + 3\/(-5). Let z = b - m. Calculate the common denominator of z and 47\/38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 4*v - 75, 5*m - 3 = v + 72. Suppose 0 = 5*x + c - m, 5*x - 4*x - 12 = -2*c. Let u(n) = -11*n + 8*n + x*n - 1 + 0*n. What is u(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2779121281 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.099 take away -1992?\nAnswer: 1984.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-152) + (-265)\/19 + -28?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) -2 (c) -1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1008) - 5*(-2 + sqrt(1008)))**2.\nAnswer: -960*sqrt(7) + 16227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.58052738 rounded to 3 decimal places?\nAnswer: 0.581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4440 (base 9) to base 5.\nAnswer: 101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 326137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -99*w**3 - 4*w**2 - w + 4. Let d be x(-3). Suppose -d = -5*l + 511. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1178*j + 9623. Let t(g) = g. Give z(t(k)).\nAnswer: 1178*k + 9623","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 189377937852.\nAnswer: 189377937851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(170) + sqrt(170))*-1 + sqrt(170))*6)\/(sqrt(90) - -4*-2*sqrt(90)) + 5.\nAnswer: -4*sqrt(17)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 4:28 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/77 + 2867\/693. What is the common denominator of x and -44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40512961 by 5.\nAnswer: 40512961\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.286 - -33.952. What is q rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16450 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 2*s - 2. Let l(t) = -9*t**2 - 2 + 7*t**2 - 2 + 7*t - 1 - 2*t. Let f be -4 + 1\/((-2)\/(-4)). Calculate f*l(n) + 5*j(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 127752 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/57160 and 43\/114320.\nAnswer: 114320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7872 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/5 - 151864*c**2\/5 - 637634*c + 6983812\/5 = 0.\nAnswer: -75911, -23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/sqrt(4) + sqrt(17))**2*-2 - (4 + (sqrt(85)\/sqrt(5))**2))*-1 + -4 + (sqrt(272) + sqrt(272) + -1)**2 + 2 + 0.\nAnswer: -16*sqrt(17) + 1244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15236 is divided by 2126?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 4*l - 682. What is the remainder when l is divided by 68?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from httttttthtnhttnntn. What is prob of picking 2 h?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9001\/44 + 819\/4. What is the biggest value in -3\/4, k, -3015?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -108*t**3 + 5*t**2 - 2*t - 1754250 with respect to t.\nAnswer: -324*t**2 + 10*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 164695620 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-3 - -2)) + -16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/1*((-6)\/(18\/(-3)))\/(-235)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Let o(x) = -2*x - 8*x**s + 2*x. Let a(d) be the third derivative of d**5\/30 + d**2 + 2*d. Calculate o(a(l)).\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -217 + 1402. List the prime factors of s.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79615 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 80*l + 2. Let k(w) = -85*w - 153. What is k(x(g))?\nAnswer: -170*g**2 + 6800*g - 323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5753, -5759, -5779, -5819, -5885, -5983, -6119, -6299?\nAnswer: -6529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 125*t**2 - 1293*t - 1574. Let l(p) = -111*p**2 + 1292*p + 1575. Let w(m) = -8*a(m) - 9*l(m). Differentiate w(y) with respect to y.\nAnswer: -2*y - 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.31 + 17537953\nAnswer: 17537953.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -318608760 to the nearest one million.\nAnswer: -319000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 897 a factor of 366466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 60 = 4*o - 16, o + 2*s = 25. Let w = 6 + o. Does 27 = w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*u**2 + 17*u**2 + 20*u**2 + u**5 wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 143, 189, 253, 335, 435?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*j**2 + 46*j**2 + 37*j**2 + 35*j**2 - 7*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*u + u - 3*u)*(u - 2*u**2 - u) + 1 - 17*u**3 - 1)*(u - 3*u + u) as p*u**3 + t*u + j*u**2 + i*u**4 + b and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c - 7. Let o be r(5). Let i be 9 + 0 + -3 - o. What is the third derivative of -3*v**3 - 6*v**2 + 4*v**i + 6*v**5 - v**3 wrt v?\nAnswer: 360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 622, 5394, 18456, 43954, 86034, 148842?\nAnswer: 236524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 4. Let f(q) = q + 3. Let x(p) = -3*f(p) - 4*z(p). Suppose -6*h + 2*h - 20 = 0. Give x(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2. Let i(b) = 500*b**2 - 2446*b - 2. Determine i(q(o)).\nAnswer: 500*o**4 - 2446*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 3*n + 820. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 4*z**2 - 1. Let y(m) = m**3 - 9*m**2 - 2 + 4*m**3 - m**3 - 3*m**3 + m**3. Calculate -7*k(i) + 3*y(i).\nAnswer: -i**3 + i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46787 = 435*k - 1202*k for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1525.674209 - -0.064209. Let r = -1532 - u. Let q = 5.4 + r. What is q rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 5) in base 15?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/7)\/m**(-2\/5))\/((m**(-8)\/m)\/m*(m**(-3\/7)\/m)\/m))**11 assuming m is positive.\nAnswer: m**(5049\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*o - 24*o + 35*o)*(4*o + 6*o**2 + 485 - 485).\nAnswer: 228*o**3 + 152*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 2*f = 16. Let s be (f - -2)\/((-12)\/(-30)). Let a = 21 + s. Calculate the least common multiple of 22 and a.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptt when three letters picked without replacement from {l: 1, t: 6, p: 10}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 22, 34, 46, 58?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 159 (b) 2 (c) 3 (d) 0.03 (e) 0.2 (f) 1350\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(10\/17)*r)**(2\/5)*(r**19)**21 assuming r is positive.\nAnswer: r**(33969\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 53 = 19. Solve 2*t - 1 + d = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2 + 3*q**3 - q - 2*q**3 - 2 + 9*q**2. Suppose -30*t - 12 = -28*t. Let j be y(t). Solve -3*n - n = j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -10406*q - 31251. What is s(-3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**4 + 5*v - 5. Let r(j) = -2*j**4 - 2*j + 3. Suppose 5*q = -2*h - 2*h - 2, -14 = -4*q + 2*h. Let s(a) = q*z(a) + 5*r(a). Differentiate s(c) wrt c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451195611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -19, -27, -27, -13, 21, 81, 173?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b - 1926 - 330 = 0. What is the highest common divisor of 376 and b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.6037048 - -10179.171?\nAnswer: 10196.7747048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -348.6? (a) -4\/3 (b) 3\/5 (c) -3\/14 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1693, 1784, 1875?\n\"Answer: 91*r + 1602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 - 28*f - 7. Let t be n(-7). Suppose -8*u + 6193 = t. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*k**4 - k**4 - 6*k**4)*(2 + 0 - 1).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5\/(45\/108) - 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -5, 14 in decreasing order.\nAnswer: 14, -0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000011120100 (base 3) in base 4?\nAnswer: -2002203303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 5. Let y be b(-5). Solve d - 16 = -2*u - 2*u, y = 4*u + 4*d - 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from {v: 1, n: 1, x: 1, g: 2, z: 1, y: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14805 = -20*q + 11*q. List the prime factors of q.\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -27, -29, -31, -33, -35?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + 3*r**4 - r**2 + (-2*r**3 + 1 - 1)*(-5*r + 2*r + r) - 2*r**2 + 2*r**2 - 2*r**4.\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 4*l**3 - 9893*l**2 + 9893*l**2 + 7*l**3 in the form d + x*l**3 + m*l + o*l**2 and give d.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -1929, -14, 8 in decreasing order.\nAnswer: 25, 8, -14, -1929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*d - 16 = 0, 4*d + 23 = 5*w + 5*d. Solve -j + w*j + 4 = -z, -j - 10 = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7421.7*-13341.\nAnswer: 99012899.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440412314 (base 5) in base 15?\nAnswer: 50d3a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4 - 14991*u**3 + 14992*u**2 = 0. Calculate u.\nAnswer: -14992, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*t**2 + 25*t**2 + 21*t**2 - 74*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvvvvvsvvvsv. What is prob of sequence ss?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a**(2\/3))))**10\/((a*a**(-3\/2)*a)\/(a*(a**(-4\/3)\/a)\/a)))**(3\/7) assuming a is positive.\nAnswer: a**(83\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 13*v. Let c(r) = r**2 - 4. Give c(n(m)).\nAnswer: 169*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1) - (-2)\/(-2). Let h = k + 5. Suppose y - h = -0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**3 + 195*m**2 + 1995*m + 1805 = 0. What is m?\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a - 2*a + 4*a - 9 + 3*a. Give d(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4d4f - -14e?\nAnswer: -4c01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 20*y**3\/3 - 71*y**2\/2 + 23*y - 92. What is the hundreds digit of s(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 4*n**2 - 4*n + 4. Let z(v) = -v**3 + 3*v**2 + 3*v - 3. Calculate -3*s(t) - 4*z(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12*9\/((-378)\/56)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 4.6. Let s = -2152 - -2148.5. Let o = s + y. Which is the second biggest value? (a) -1\/2 (b) o (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 910222803?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/6)\/(-9*80\/(-1620)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*w + 67*w - 96 = 0. Let s = w + 17\/2. Which is the closest to s? (a) 0.2 (b) 5 (c) 4 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -0*c + 12. Solve 5*i = 3*r + 2, i - c*r - 14 = 2*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 0.5, 241, 0 in increasing order.\nAnswer: -2, 0, 0.5, 4, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 8:54 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -335065 divided by 28\nAnswer: -335065\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 9*n**2 - 13*n + 9. Let a be b(-7). Solve -a*r = 4*s - 4, -s = 4*r - 0*s + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -540\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -226995 (base 11) in base 3?\nAnswer: -200022121012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z. Let q(k) = k - 9. Let m be q(10). Let i(j) be the first derivative of m + 0*j - 1\/2*j**2. Give r(i(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 97839408, 97839409, 97839410, 97839411?\n\"Answer: u + 97839407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 5. Let r be a(-5). Let q = r + 2. Suppose -40 = -5*n + j, -n = q*j + 5 - 2. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*v**2*x + 4271*v**2 + 3*v*x + 24*v + 11*x - 25 wrt v.\nAnswer: -42*x + 8542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/19, -5, 24, 784 in increasing order.\nAnswer: -5, -2, -2\/19, 24, 784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/12 - (-4)\/24. Let n(j) = 60*j**3 - 2*j**2 + 2*j - 1. Let o(d) = -338*d - 4387. What is the lowest common multiple of n(u) and o(-13)?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 1. Let c(z) = -6*z - 5. Let w(j) be the first derivative of -j**2\/2 - 7*j + 1. Suppose 0 = 11*i + 59 + 7. Let f be w(i). Give f*c(b) - 5*t(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163 is divided by 35.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -14*r**2. Let q(a) = 11*a**2 + 6*a. Let s(c) = 9*c**2 + 5*c. Let z(h) = 5*q(h) - 6*s(h). Calculate z(m(g)).\nAnswer: 196*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 64.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*(-4 + (sqrt(20) - (sqrt(20)*-3 + sqrt(20))*2)\/sqrt(10) + -2 + -4 + sqrt(2) + 5))**2.\nAnswer: -240*sqrt(2) + 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2832845039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p - 12*p - 17*p - 5*p as i + a*p and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + q + 4)*(3 - 4 + 3) + (0 - 1 + 3)*(-2*q - 2 + 2*q + 4*q).\nAnswer: 10*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17577, -37434, -57291, -77148, -97005, -116862?\n\"Answer: -19857*z + 2280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 10 + 42*i**2 - 7 in the form u*i + z + x*i**2 and give x.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -31. Calculate the highest common factor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1962, 2213, 2460, 2703?\n\"Answer: -2*x**2 + 257*x + 1707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdjjd. Give prob of picking 2 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8 - 2*r**2 + 7 - r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 2*g + 5. Let z be q(0). Suppose -4*i = -z*i - 2*i. Suppose -2*p - 2*p + 4*s + 4 = i, 0 = s - 3. Solve 4*m + 0 + p = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112220220 (base 3) to base 14.\nAnswer: 3d70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 5*o + 7. Suppose -u = 5*u - 54. Suppose -p = -4*w + 25, -w - 3*p = u + 1. Suppose 19 = -w*r - 6. Calculate l(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 544, -120.\nAnswer: -120, 2, 5, 544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2823351?\nAnswer: 3, 941117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4131131021 (base 5) to base 10\nAnswer: 8458261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3726180 divided by 254?\nAnswer: 14670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54422 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/63 of a week?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 22*k**2 + 39*k - 208. Give g(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8414495740?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Suppose 3*l - 4 = x + 4, 0 = -h*x + 2. Solve -l*q - 2*q = -25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -23. What is the remainder when 98 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/5)\/(((-9)\/(-10))\/3). Let b = 34 - 14. Suppose 2*u - 16 + 5 = 3*i, -5*i = -5*u + b. What is the closest to 0.1 in 1\/5, u, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 21252672.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 53*u**2 - 11*u + 5. Let r(n) = -26*n**2 + 5*n - 2. Calculate 7*r(i) + 3*w(i).\nAnswer: -23*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2980071 and 5960142.\nAnswer: 5960142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) -5\/16 (c) -1\/2 (d) -4 (e) -98 (f) 1 (g) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 87068 divided by -1?\nAnswer: -87068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -8*o**3\/3 + 28*o**2 - 6*o + 101. Let d be b(7). Is d != -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/21 + (-9)\/(945\/(-130)). Which is the third biggest value? (a) 2 (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-288)\/(-336)*-112.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from xlxllxllxllxllxxlxxx.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*k + 48, 3*u - u + 44 = 4*k. Let i(r) = 7*r**2 + 2*r - 2. Let a be i(2). Suppose 5*w + a = k*w. Solve -3*d + w = -0*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*k, 6 - 13 = v - 2*k. Suppose x - 3*d + 3 = 3*x, -v*x - 5 = -5*d. What is the first derivative of x*l + 4 + 2*l + 2*l**3 - 2*l wrt l?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.052*10.77\nAnswer: -43.64004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 + y. Let z(j) = j**2 - j. What is -f(d) + 2*z(d)?\nAnswer: -d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 2. Let z be d(3). Let m = 147 - 155. Let l be (2 - 7) + (-8)\/m. Put l, 3, -1, z in decreasing order.\nAnswer: 3, -1, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8*(-126)\/12 - 0. Suppose -28*b - a = -7*b. Let f = -0.3 + -0.2. Put -3, b, f in ascending order.\nAnswer: b, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 775.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -190*v**4 - v**3 - 147*v**2 - 2*v wrt v?\nAnswer: -4560*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 668813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6421408 + 1579668949\/246. Let f = 1\/123 + u. Solve -75\/2*o**3 + 24*o**4 - f*o + 3\/2 - 6*o**5 + 57\/2*o**2 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8096 > 8092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1 + 89*j**2 - 1. Let k(p) be the first derivative of -p**3\/3 - 31974. Determine z(k(w)).\nAnswer: 89*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 843 (base 13) in base 12?\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1142, 1144, 1146?\n\"Answer: 2*l + 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 363310*x**2 + 3995895*x + 6538590.\nAnswer: 5*(x + 2)*(x + 9)*(x + 72651)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*i = -25*i + 5*i + 2214 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 50822 (base 10) to base 8\nAnswer: 143206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1812 divide 165221752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 1153*m**8\/56 + 1679*m**4\/12 + 851*m. What is the third derivative of i(k) wrt k?\nAnswer: 138360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 24*v + 19. Is 14 a factor of c(40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03618 rounded to 3 dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001603058317 to six dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 3*v**2 - v - 8. Let l be b(-8). Suppose 4*f = -0*f + l. What is the greatest common divisor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2754*l**3 - 20513*l**3 + 1361*l**3 - 10008*l**3.\nAnswer: -31914*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3 - 14\/(-6). Suppose -o*m - 2 = -4*m. What is the highest common factor of 4 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13089 greater than -13090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*1\/(-1 + 2). Let z be 50\/4*60\/150. Suppose -z*u + 3*t = 0, 2*u + 2*t = -k*t. Is u at most 5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9875173*l. Let g(m) = -4*m. Give b(g(r)).\nAnswer: -39500692*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 11*n**3 + 3*n**2 + 5*n. Let q(x) = -2*x**2 + 0*x**2 - 4*x + x - 7*x**3. Let o(g) = 5*f(g) + 8*q(g). Let s be o(-2). Solve -s*p - 2*p = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 0)*-1 + 2. Let q be a\/(-4) + (-178)\/(-12). Let g = q + -206\/15. Do g and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6309 is divided by 3093.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -47. Suppose m = -3*h + 17, -5*m + m = h + x. Let q = 19 - -7. What is the remainder when q is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 n, and 1 a when four letters picked without replacement from {w: 2, b: 2, a: 3, n: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392*y + 421*y = -377 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2 (c) -4\/315 (d) 0.5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**2 - 22*g - 8. Let s(j) = -4*j**2 - 11*j - 4. Let w(f) = 3*n(f) - 5*s(f). Let r be w(-8). Solve -5*l + r = -0*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 3 (b) -74 (c) -1 (d) -3 (e) -2\/9 (f) -119\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11260968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -10110110000111?\nAnswer: 10110110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/8 - 67*b\/4 - 4489\/8 = 0 for b.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 26 = 3*o + 2*a, a = 4*o + 19. Let s be (-7 + 1)*2\/(-3). Let y(z) = -4 + 0 + s*z + z**2 - 2*z. Give y(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 80*g + 320.\nAnswer: 5*(g - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 943.60012758 + -943.6. Round i to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 388319611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3386, 6696, 9986, 13250, 16482, 19676, 22826?\nAnswer: 25926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s**2 + 18*s + 66. What are the prime factors of y(-15)?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15290 and -15285 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from mheymyyahmayayya?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 1517?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*(sqrt(672)*-1 + sqrt(672) - sqrt(672)))\/(((-2*sqrt(120))\/sqrt(4))\/((sqrt(35) - sqrt(35)*2)\/sqrt(7))).\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1100, 1094, 1084, 1070?\n\"Answer: -2*r**2 + 1102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100181 and 340051.\nAnswer: 24143621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**4 - 18*u**4 - 19*u**4 - 350*u + 35*u**4 - 568*u**5 wrt u.\nAnswer: -11360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o**2. Let y be (-2 - 1 - 1) + 120. Let v(x) = 3*x + 114*x**2 - y*x**2 - 3*x. Calculate a(v(n)).\nAnswer: -24*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1515087646?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 + 117*k - 62*k - 55*k.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 501 - -121. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h - 2*h - 3 + h**2 - 5*h - 4. What is i(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 1, u: 1, p: 1, y: 2, w: 1}. What is prob of picking 1 n and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/9 + 78\/126\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(275) - sqrt(11)) + sqrt(18) + 4 - -2*(sqrt(288) + ((sqrt(288) + 1*sqrt(288))**2 - sqrt(288))))*5.\nAnswer: 75*sqrt(2)\/4 + 11540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*i. Let b(z) = -z**2 + z + 1. Let f be b(i). Solve c - f = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 4*l - 9. What is the tens digit of r(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 84 + 110 = -20*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583*w + 1211*w = 605*w + 368 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/6020945 and -107\/3440540?\nAnswer: 24083780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 + -85. Let f(u) = -u**2 - 7*u - 10. Let k be f(-2). Put o, 0.12, k in increasing order.\nAnswer: k, 0.12, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - a**2 - 2. Let b be t(-2). Let n be 296\/(-10)*(-35)\/14. Suppose -12 = -4*w, b*o + 3*w + w - n = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -67890, -67930, -67958, -67968, -67954, -67910, -67830, -67708?\n\"Answer: x**3 - 47*x - 67844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than or equal to -260671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-1 - 1 + 0)*(10*n + 15*n - 8*n).\nAnswer: -102*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from {r: 10, i: 2, y: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 649*a**2 - 45*a + 45*a.\nAnswer: 649*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 6:04 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(2240))\/(sqrt(7) - 3*-2*sqrt(7)) + -2)*-6*1)**2.\nAnswer: 3456*sqrt(5)\/7 + 110736\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o - 23*o - 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(1020\/(-4352)*16).\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 940974 = 4*v, 3*v - 811048 = 2*m - 105293. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 152*h + 12*h - 831. Solve 5*g + 11 = 4*w - h, -5*w = -4*g - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163372240837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -22*v + 26*v. Suppose v = 2*b - b. Let z(c) = 3*c - c + 1 + 0. What is z(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from koloowoqolqoololkko?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by -1.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Suppose 3 = -q*c + 3*c. Suppose -5*o + 4 = -c. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27049 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 19*p**2 + 4*p + 3. Let s be m(-1). What are the prime factors of 8\/(-12) - (-1236)\/s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-178)\/(-1335)*(-9)\/(-2)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - 7*y + 9. List the prime factors of o(7).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 5*b = 95, -2 = m - 5*b + 13 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 241671 (base 10) in base 11?\nAnswer: 155631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324056 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.623 times -0.4?\nAnswer: -0.6492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 0*f + 11*f - 2*f**3 + 3*f**3.\nAnswer: f**3 + 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -20*k**2 - 32*k + 150. Give a(4).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100011101101 - 100010?\nAnswer: -1101100100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 295 - -418. List the prime factors of l.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 20. Let b(z) = -2*z**2 + 12*z - 7. Let y be b(5). Suppose -y*o - 6 = -2*j + 3, -o - 55 = -5*j. Calculate the greatest common factor of j and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18627 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 11 + 29. What is the remainder when 47 is divided by 8 - (-4)\/8*w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 - 6 + 4 - b**2 - b - 3*b + b**4 + 0 to the form f*b**4 + w*b**3 + c*b**2 + i*b + r and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - -13. Let b = v - 52.01. What is b rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/87, -3, 13\/4?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**2 - 127*n - 441. Calculate f(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 3:34 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 158.3652 micrograms in kilograms?\nAnswer: 0.0000001583652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 + 25*n + 120. Calculate the remainder when u(-13) is divided by 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -36. Suppose -59 = -b*m + 57. Solve -m*q + 32 = 4*u, 2*q - 17 = -u - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-600))\/(0 - 2\/9).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*z**5 - 104968*z**4 - 30494464*z?\nAnswer: 560*z**3 - 1259616*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 4 - 8 + 1 + 5*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 185246041 to the power of 1\/2, to the nearest integer?\nAnswer: 13611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 51*d - 106. Give f(-58).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1974 and 14.\nAnswer: -27636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6116*x + 1143683. Determine a(187).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwjjjwkjwkwkwkww. Give prob of picking 3 w.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/(-48 - 0))\/((-82)\/5043) and -97\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 176 = -o + 136, -k = -3*o + 936. Is o a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -409360 divided by -16\nAnswer: 25585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 173\/4 + (7\/4 - 2). Let d = -85\/2 + m. Find h, given that -d + 6*h - 45\/2*h**2 + 25*h**3 = 0.\nAnswer: 1\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5149295303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 17 + 1 = 0. Let t(n) = n**2 - 4. Let x be t(6). What is the highest common divisor of v and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, 4, -5, -2 in decreasing order.\nAnswer: 98, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -25853 divided by 17\nAnswer: -25853\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*w - 282 + 256 = -1142 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = -36*q - 109*q - 1924 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 7:13 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96140142*l**5 - 47879210*l**2 wrt l?\nAnswer: 5768408520*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 12*g**2 - 11*g + 7. Let b be k(11). Let v be 6*(0 + (-2)\/(-4)). Suppose 0 = v*o - 1 + b. Is -2 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 - 13. Let w(p) = 163*p - 172*p + 6 - 6. Calculate s(w(d)).\nAnswer: -162*d**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10841\/188 or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 4959*c**6\/40 + c**4\/6 + 173*c**3\/2 + 9291*c**2. Find the second derivative of x(y) wrt y.\nAnswer: 89262*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 1712, -1?\nAnswer: 1712","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 504199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -162791 and -0.624?\nAnswer: 162790.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-9)\/6) + (9 - 2610\/20). What is the nearest to -2\/5 in w, 1\/7, 2\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 + -91 + 15 - (27 - 3)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 344800181 a multiple of 4103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 2*n + 387 = 402, -3*a + 5*n = 22 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -9, 0.5, 4992?\nAnswer: 4992","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1209 is divided by 1149?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -331443 (base 5) to base 10\nAnswer: -11498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/13 + -35\/52. Let u = 36.039 + -0.039. Let m = u + -36.5. Sort m, 2, c in increasing order.\nAnswer: c, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqfo when four letters picked without replacement from fowozfdfzzfwddzfwqwd?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*f - 144*f + 72*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 5, 4, 3 in descending order.\nAnswer: 54, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 9:44 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87372 and 30121497?\nAnswer: 120485988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -3)\/(4\/(-42)). Let j = -17 - z. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 + 4*r**2 - 50 - 42 - 28*r - 79.\nAnswer: 4*(r - 11)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*f + 45*f = -10809. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3552 divided by 3552\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-124 - -98) + 117 + -188\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 + 6*m + 6. Suppose 5*g + 7 = 3*k - 6, 0 = 2*g - 2. Let x(j) = -4*j**2 - 5*j - 5. Let w(y) = k*x(y) + 5*z(y). Is w(-2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -3046545.\nAnswer: -2\/3046545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 607 (base 16) to base 2\nAnswer: 11000000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000376 rounded to seven decimal places?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83301497?\nAnswer: 83301497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-35)*53\/(122960\/(-140))\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 2*y**3 - 238 + 238 - 4*y**4 in the form i*y**3 + q*y**2 + a*y + m + r*y**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/156)\/(1\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5534 = 340*n - 15*n + 19948 + 2486 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-20)\/c**(-9) assuming c is positive.\nAnswer: c**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, f: 11, u: 3, t: 3}. Give prob of picking 1 f, 1 u, and 2 g.\nAnswer: 33\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*b - 2. What is the biggest value in -2\/9, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 33, 20505, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 893 = g - 180, 2*g + 5*l = 2152. What are the prime factors of g?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/(-30)*4\/(-10). Let j = -2 + 1.8. What is the nearest to t in 3\/8, j, -2\/3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 = -5*p, -u + 13 - 3 = 4*p. Let w be 8\/p + (-10)\/15. Let t(r) = -r**3 - 5 + 0*r**w + 5*r**2 - 4*r + 0*r**2. Calculate t(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 344 + 316 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 38 - 2*p**2 - 3*p**3 + 2*p**3 - 35 + 2*p**3 - 3*p. Calculate r(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 + 144\/(-73))\/(-2))\/((-620)\/(-620))?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5238 - 4165 = 185*q + 965*q - 2503 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -341 - bc14?\nAnswer: -c255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*m + 458 = -572*m - 4702 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(-2\/9)))\/x)**2*(x**6*x)**(-2\/61))**8 assuming x is positive.\nAnswer: x**(-11744\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 3 + 15)*(3 + 6 - 1)*(0 + 1 - 2)*(-y + 6*y - 4*y) to the form n + g*y and give g.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10678 divided by -10678?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 2, m: 1, c: 2, k: 7, h: 1}. Give prob of picking 1 i and 1 k.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-3) + 10)*1. Let q = w + 6. Calculate the remainder when q is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 143. Let d(t) = -4*t - 15. Let s(n) = -3*n - 12. Let p(u) = 4*d(u) - 5*s(u). Give p(f(g)).\nAnswer: g + 143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6705, 13419, 20133, 26847?\nAnswer: 33561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) -0.1 (c) -0.014 (d) -33\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 122, -1, 1, 9 in increasing order.\nAnswer: -1, 1, 9, 80, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96*i**6 - i**5 - 23*i**3 - 295*i**2 + 2*i - 1?\nAnswer: -11520*i**3 - 60*i**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 2*t**2 + 2*t - 1. Let r be m(2). Suppose 3*u - 8 = -2*o, r*o - 1 = -4*u + 9. Solve 0 = -3*p - u - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/3 - 14*v**2\/3 - 5*v = 0. Calculate v.\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (-26 - (-52 + -49)) + -22?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Suppose -2*l + l + 2 = 0. Let z = l - n. Is -1\/4 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 1, j: 2, e: 1, k: 2, f: 1}. Give prob of picking 1 e and 1 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79 or 398\/5?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t + 8. Suppose -4*o + 22 = -5*w, 5*o + 5 + 5 = 0. Let q(u) = -u - 4. What is w*n(r) - q(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -40*o**4 + 51*o**3 - 9*o**2 - 2*o = 0.\nAnswer: -1\/8, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -164\/3 - -54. Let n = -1677\/8 + 210. What is the biggest value in n, -3\/2, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -546454 - -796145. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 20.9. Let i = 1.9 - u. Let g be 57\/135 - 2\/9. What is the nearest to i in -0.3, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 + 7 = 4*c - 5*u, 2*u - 47 = -c. Let h = -79 - -54. Let w = h + c. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93140463?\nAnswer: 3, 13, 183709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -5*w + t + 305, -4*t - 212 = -2*w. Let s = 36 + -20. What is the smallest common multiple of w and s?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ookokoylorol. What is prob of sequence oyok?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36009?\nAnswer: 3, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1482000 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -226721339*c**4 - 2*c**2 + 4418589*c + 3.\nAnswer: -5441312136*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j - 1. Let u be b(3). Suppose 0 = u*s - 7*s - 32. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -162 (b) 3 (c) -4\/7 (d) 4 (e) 1\/16 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 10 + -16 + -7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 17 = -5*n, y + 2*y + 39 = 3*n. Let u = y + 18. What is the second derivative of -4*s + 0*s - s**4 - u*s**4 wrt s?\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 614 - 101. Suppose 0 = 3*s - 3*z - d, -2*s + 521 = s + 5*z. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + y + 2*y**4 + 0 + y**4 - 3 + 3 + 2*y**4 + 2*y - 2*y + (y**3 - y**3 + 2*y**3)*(-2*y + 2*y + y) + 2*y - 2*y + 2*y**4.\nAnswer: 9*y**4 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -35*t - 200. Let r be o(-7). Solve r = 5*b + 5*m, -40 = -5*b - 11*m + 7*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376183.\nAnswer: 376183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**3 - 2*p - 4*p**3 - 2*p**2 + 2 - 30*p**4 + 33*p**4 to the form d + m*p**4 + q*p**2 + u*p**3 + v*p and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*2*((sqrt(325) - 3*(sqrt(325) - (sqrt(325) - sqrt(325)*2))) + 1)*5)**2.\nAnswer: -127500*sqrt(13) + 20315101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30142744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*s + i = -176*s - 607, s - 293 = -3*i. Is 2720\/9 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 3*g**2 + 3*g + 2. Let s be r(-2). Suppose -o + 3*d - 8 - 4 = 0, 3*o - 5*d = -28. Let f be 75\/27 - o\/27. Put s, -2, f in decreasing order.\nAnswer: f, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -38309 - 0.030019\nAnswer: -38309.030019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a decade in months?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -28, -29 in ascending order.\nAnswer: -29, -28, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 917*i + 60. List the prime factors of r(1).\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 309908499 and 939.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2277114 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24104 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: Differentiate -5989099*i*n + 1764*n + 1774 wrt i.\nAnswer: -5989099*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = -q. Let z = 1 + q. Suppose 129*u + 186 = -72. What is the closest to z in u, 0.7, 4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2270, 2525, 3032, 3791, 4802, 6065, 7580?\n\"Answer: 126*t**2 - 123*t + 2267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {q: 5, u: 1, b: 2, a: 5, o: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 563*x = 559*x - 13, 0 = 3*q + 3*x - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1117861 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -182 - -256. What is the derivative of -29 + 14*t - p*t - 71*t wrt t?\nAnswer: -131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 2063.\nAnswer: 123.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l + 2. Let a be t(3). Let c(r) = r**2 - 14*r. Let v be (1 + -5)*4\/(-8). Let i(s) = -2*s + s + s + v*s. Give a*i(y) + 2*c(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + (-3)\/6)*4. Suppose -13 = z*r + 5*g, -25 = -7*r + 2*r - g. Let k(i) = r*i - 2*i - 2*i. Let d(f) = -3*f. Give k(d(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 64723626 to the power of 1\/3, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 15759*u**4 + 47*u - 15760*u**4 + 10*u**3 - 13*u as l*u + n*u**4 + a*u**3 + x + t*u**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -42. Suppose 7 = -m - 2*n, 4*m + 5*n = 7*m + a. Does 4 divide 7\/(m\/8)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 1) + (12 - 9 - 44 - -11).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3b9ad (base 14) to base 12\nAnswer: -71331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 23. Let c(u) = u**2 - u + 0 + 6 - 2. Let r be c(0). Solve -x*t = -5, -r*i + 2*t - 22 = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25942*s**3 - 15870*s - 1?\nAnswer: -155652*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -7. Let x(j) = -j**2 + 8*j - 8. Give x(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q. Let p(t) = -141*t + 9. Let d(f) = 1. Let u(c) = -18*d(c) + 2*p(c). Determine u(x(m)).\nAnswer: 282*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**5*r - 7*a**4*r - 48*a**3*r - 8*a**2*r + 9*a - r wrt a.\nAnswer: 180*a**2*r - 168*a*r - 288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 164153*x + 11326566. Give t(-69).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -11 + (45 - 12) - 34\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i - 6 = 0. Let t(a) = -946*a - 1. Let w be t(i). Let h = -26437\/14 + w. Find the common denominator of 29\/8 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (420\/(-1176))\/((-60)\/14)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -47*u**5\/20 + u**4\/12 + u**2\/2 - 2*u - 22. Find the third derivative of y(q) wrt q.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35571602 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 11409242 to the nearest 1000.\nAnswer: 11409000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -184888, -189010, -195888, -205528, -217936, -233118?\n\"Answer: -n**3 - 1372*n**2 + n - 183516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10168496 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*i = 5. Suppose -i*b = -3 - 12. Suppose 0 = -3*q - b*q + 192. Is q a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -112452?\nAnswer: 112445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**2*f*m**3 + 31*d**2*f - 7*d**2*m**3 - 3*d*m**2 - f*m**3 + 3*f + 49 wrt d.\nAnswer: -2*f*m**3 + 62*f - 14*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k = 11*k - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 476*z - 7365.\nAnswer: (z - 491)*(z + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 55142*d - 55180*d - 11.\nAnswer: -38*d - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbffdjdfbffbd. Give prob of sequence jf.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -925, -3989, -9199, -16561, -26081, -37765?\n\"Answer: -f**3 - 1067*f**2 + 144*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199196*q - q**3 + 99583*q + 99613*q.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 0 + 0*l**5 + 0*l**3 + 1\/15*l**6 - 5\/2*l**2 - 9*l + 0*l**4. Differentiate k(s) wrt s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 17. Let h be 0\/2 - (-16)\/(-2). Let v be m(h). Let n be 24\/v*6\/(-4). Solve -n*x = -4 + 24 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + 50*s**2 - 2*s + 58. Let o be i(25). Solve 4*f = 4*g - o, -g - f - 20 = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 11 = -22. Let v = 46 - l. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1738784 is divided by 395.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5131892?\nAnswer: 2, 17, 163, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 3*j + 707. Let l be u(0). Suppose -l = 6*a - 13*a. Does 25 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 945771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1067 and -0.1?\nAnswer: -106.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 222078756 to the nearest one hundred thousand.\nAnswer: 222100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33388653*n**3 - 28481696*n.\nAnswer: 200331918*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2196561 (base 10) in base 8?\nAnswer: 10302121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**2*s\/(s\/(s*s**(-2)*s))*((s*s**(-3\/4)*s)\/s)\/s*s*s*s**3*s assuming s is positive.\nAnswer: s**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2361)\/4722*3\/(-8)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92272.809 rounded to the nearest 1000?\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 5:09 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.57 rounded to 1 dp?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003914 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 23912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*m + 4*h, -m + 2*h - 6 = -4*m. Let g(o) be the third derivative of 3*o**m + 0*o + 1\/3*o**3 + 1\/12*o**4 + 0 - 1\/60*o**6 - 1\/30*o**5. Factor g(a).\nAnswer: -2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.016 and 22864.\nAnswer: -365.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3795046?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (389\/3890)\/(((-6)\/15)\/(156\/(-65))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -59, -218, -537, -1070, -1871, -2994?\nAnswer: -4493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*z + 4*z + 241, 0 = -4*z + 16. Calculate the least common multiple of 6 and k.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 24*f**2 + 25*f. Let i be u(-25). Suppose i = 7*r - 15*r + 4944. Suppose -3*a = 3*x - 381, -4*a + 4*x + r - 110 = 0. Is 39 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163 divided by -186.\nAnswer: -163\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163165, 652737, 1468709, 2611081, 4079853, 5875025?\nAnswer: 7996597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5 + -562352.5818?\nAnswer: -562348.0818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4567 is divided by 254?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.062 and 65.\nAnswer: 64.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -9 - 6) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, -19, 0.3, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2849315 to the nearest integer?\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471755188 is divided by 73129.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 11:12 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17558 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (125 - 27) + -79 + (8 - (-1 - -1))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17089 - 4164 = 25*v. Let r = v + -507. Calculate the remainder when 257 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(204)*4 + (sqrt(204)*-2 + sqrt(204))*1)\/(2*4*sqrt(1200)).\nAnswer: 3*sqrt(17)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1)*(-6*c + 14*c - 21*c + 2) in the form x*c + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 24*c**2 + 10256*c + 367. What is g(90)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5247333 by -83291.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -9. Let u = 0 + s. Suppose u = -f + 6. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/3 + 944*o**4 - 1999384*o**3\/3 - 2677184*o**2 - 8042896*o\/3 = 0. Calculate o.\nAnswer: -2, 0, 1418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43 - -4?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 182 and 1904546?\nAnswer: 24759098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l + 80. Let r be x(16). Suppose r*a - 4356 = -4*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 10*z - 35. Let b(j) = j + 10. Let n be b(-6). Calculate the least common multiple of 15 and s(n).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i - 5*x + 187 = 0, 190*x = -i + 194*x - 17 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -850835402, -1701670804, -2552506206, -3403341608, -4254177010, -5105012412?\nAnswer: -5955847814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h**2 + 4*h + 9. Suppose 5*g + 6 = -k, 12 = 2*g - 4*g + 2*k. What is the remainder when 249 is divided by i(g)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 0*x**2 + 0*x**4 - 6\/5*x**5 + 9 + 7*x + 0*x**3. Differentiate i(c) wrt c.\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -2578?\nAnswer: -12890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/25198 and -109\/11720.\nAnswer: 503960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 149?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*s - 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 611*j = 3*y + 614*j - 47145, 0 = 5*y - j - 78545. List the prime factors of y.\nAnswer: 2, 5, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 2*j = -4*i - 1, 3*i = -2*j + 17. Sort -3, -5, 7, i in increasing order.\nAnswer: -5, -3, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1161741786?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 600481 and 182.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 652754678 to the nearest integer?\nAnswer: 25549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*c + 2*q, c - 10 = -3*c - q. Let o be (c\/(-15))\/(12\/(-10)). Let m = 8392 - 8393. Which is smaller: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from zrtzrtvrtzvvvtz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**3\/3 - 3*f**2\/2 - 792. Give d(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000027463 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3))**(-34)*(y\/(y*y**(3\/2)))\/y*y**(-4))\/((y\/y**(-1\/4))**(19\/2)*y*(y\/((y*y**(-2\/17)*y)\/y))\/y*y*y**(-3\/2)) assuming y is positive.\nAnswer: y**(1907\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = r - 8. Let c(m) = 2*m - 6. Let w be c(4). Suppose 2*d = -w + 20. What is the smallest common multiple of d and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**2 - 2*t**2 + 53*t**2 + 26*t**2 in the form u*t + i*t**2 + g and give i.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 8, 2205, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183 divided by 25?\nAnswer: 1183\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.085871958 + -0.7?\nAnswer: -0.614128042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18284*s**2 - 32410*s.\nAnswer: 36568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a**3 - 2 + 16*a**3 - a**2 + 0 in the form v*a + s*a**2 + k*a**3 + n and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5370 = 3*m + f, -8*f + 7179 = 4*m - 13*f. Let c = m + -1046. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 5*s**2 + s. Let h be a(5). Suppose c = u + 1 - 13, h*c - 44 = -3*u. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*v - 29. Let p = 31 - v. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-4))\/i)\/i**(5\/4) assuming i is positive.\nAnswer: i**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 1:06 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83 and 14733413.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2918854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -25, -0.1, 0.5 in descending order.\nAnswer: 5, 0.5, -0.1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -141\/106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l + 3. Let f be g(0). Suppose 2*o + 20 = f*x, 0*o - 3*o + 65 = 5*x. What is the least common multiple of x and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -19. Let g be (-1)\/6 - (7\/2 + -4). Which is the closest to g? (a) h (b) -5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 6471894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 76207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 359268174 to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -3\/4, -184, 3\/29, -5.\nAnswer: -184, -5, -3\/4, 3\/29, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 5 - 31)*(i + 0 + 0) as y + v*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and -326594998160.\nAnswer: -326594998151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - (-6)\/42) + (-2)\/14. Factor 6 - 682*k + 6*k**3 - m*k**2 + 683*k - 5*k**3.\nAnswer: (k - 3)*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-five quarters of a minute?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + sqrt(192) + (sqrt(192) - sqrt(192)*-2)**2) + (-6*1*sqrt(432))\/(-5*sqrt(9)*-2).\nAnswer: -10392 - 252*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**3\/3 + 15*d**2\/2 - 52*d + 2. Let x = 270 - 288. Let a be m(x). Solve -a*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-960)\/1056 + 261\/33.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 m when four letters picked without replacement from mpwpppqpzzzp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (1740\/(-3))\/((-25)\/1500)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252d5 (base 16) to base 8.\nAnswer: -451325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**3 + 53*b**2 - 63*b + 649. Give f(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64112*q = -64108*q - 4*b + 96, 0 = -b + 5 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*g - 12216 + 14724 = 0 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2246883*x**2 - 561716*x**2 - 561722*x**2 - 561722*x**2 - 561720*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 247, 374, 501?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*(-21)\/(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2 - 216*t - 2798. What is a(-29)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 26*z**2 + 31456*z - 12*z**2 - 2 - 31456*z. Let f(n) = n**2 + 1. Determine -6*f(o) - 3*w(o).\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*s**5 + 4*s**3 - 793*s**2 wrt s?\nAnswer: 2520*s**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**3 + 12*j**3 - 5*j**3 - 4*j)*(-j - 44736 + 22943 + 22434) to the form n*j + r*j**4 + z*j**3 + o*j**2 + w and give n.\nAnswer: -2564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 16*b**2 + 684*b + 186. What is d(-42)?\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 265 + -142. Suppose 5*j - 4*l - l - 565 = 0, j - 3*l - y = 0. Calculate the highest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 109\/(-4) - 5\/40*-2. Is s >= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -175*c - 20740. Calculate l(-118).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 13*u + 2. What is r(-4)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*(j*j**(-1\/2))\/j)\/j))**(-5\/14)\/(j\/(j*((j*j**(-1\/2))\/j)\/j*j)*j)**(3\/20) assuming j is positive.\nAnswer: j**(-213\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 157*j - 35. Let q be z(-5). Let y = q + 1890. Round y to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1031 + -475. What are the prime factors of u?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117101063*j**3 + 58550546*j**3 + 58550518*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 847234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 1266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 790 from -0.00223.\nAnswer: -790.00223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 4*n = -160 - 430, -3 = n. What is the greatest common divisor of o and 1989?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1248 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 6*6\/9. Suppose 0 = -0*b + u*b + 3*r - 1, 0 = 2*r + 2. Suppose -b*d + 4*d - 26 = 0. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 12. Let y = 0.316 - 0.346. Sort y, -0.4, x.\nAnswer: x, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -24*p + 19. Let n(t) = -5*t + 4. Let g(y) = -4*b(y) + 22*n(y). Let h be g(-6). Suppose -h = 4*v - 8*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 565*a**4\/24 - a**3\/3 - 3*a**2. Let g be r(7). Let q = 23845\/6 - g. What is the common denominator of 55\/7 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from ysynrybsrdnsnsy?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2673) - sqrt(2673)*-3)\/sqrt(11).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 14912061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 10*i**5 - 31*i**4 + 33*i**3 - 13*i**2 + i = 0.\nAnswer: 0, 1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by -81986\nAnswer: 16\/40993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 210022 (base 3) in base 12?\nAnswer: 3bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -100, -726, -2392, -5614, -10908?\n\"Answer: -86*c**3 - 4*c**2 - 12*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 7 + 7. Let f = -7 + m. Calculate the greatest common factor of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + 57. Let j = 4 - -1. Suppose -j - 23 = 4*i. Is r <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 2. Let q be i(-5). Let k(p) = -p + 2. Calculate k(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2\/17, 1, -4, -39\/4.\nAnswer: -39\/4, -4, -1\/4, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 7:48 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - i + 2. Suppose -i*b + 5 = -3. Solve -b*n = n - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 406*w**2 + 91*w - 403*w**2 + 39*w + 1044 wrt w?\nAnswer: 6*w + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 84\/20 + 2\/(-10). Is (63 - 3)*b\/(5 - 3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 0.4 (b) -1\/53 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 114185 + 26944 = 0. Is i\/(-15) - (-4)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 5*a - 45, -a + 3*a = 6. Is (-9)\/((-162)\/7410) - (-4)\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = i - 6, 0*i - 4*i = 4*j - 36. Suppose 0 = -3*f + 2*d + 1, -5*d = 21*f - 17*f - 32. Solve -f*h - h = i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * 0.215151\nAnswer: 0.01075755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 n when four letters picked without replacement from {y: 2, n: 12, m: 3}.\nAnswer: 99\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -37927, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 153 - 19 + r + 2*r + 7. What is the remainder when t(-12) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.14 + 1.45. Let f = 0.22 - x. What is the second biggest value in f, -4, 1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 63*r**3 - r**2 + 9*r - 29. Let i(k) = -125*k**3 + 2*k**2 - 18*k + 57. Let o(s) = -4*i(s) - 7*v(s). What is the tens digit of o(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 7. Let q = -27\/10 - -11\/5. Are t and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9077.751 and 0.5.\nAnswer: 4538.8755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 68 = -3*v + v, 0 = 3*s + 21. Solve 3*i - b + 4 = 9, -i = -4*b - v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1111310 - 1241?\nAnswer: -1113101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4824*g - 312 + 161 + 151 - 12141*g as h*g + n and give h.\nAnswer: -7317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**3 - 674110*h**2\/13 + 440746*h\/13 - 51852\/13 = 0. Calculate h.\nAnswer: 2\/13, 1\/2, 12963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**10\/453600 - c**9\/181440 - c**5\/30 - 2*c**2. Let a(t) be the third derivative of b(t). Suppose a(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6 - 6*q + 16*q + 2*q + 9*q.\nAnswer: 21*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-84)*3*(-1 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**2 - 5 + 5 - 7*a**3. Let h = -352 + 348. Let z(f) = 0*f**3 - 2*f**2 + f**3 + 2*f**3. Give h*n(v) - 10*z(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 207 in 5, 1\/3, -1.409?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 892 - 8?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 1. Let u(g) = 7*g**2 - 28*g + 28. Let k(w) = 28*i(w) - u(w). Let r(s) = 155 - s**2 + 155 - 310. Calculate k(r(z)).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = u - 4*f, 0 = 27*u + 123*f - 126*f + 159 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3960 divided by -6?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1060*z**3 - 535*z**3 + 2526*z**3 - 290*z**3.\nAnswer: 2761*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/114 and -137\/456.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/6 + 34940*p\/3 + 139768\/3 = 0. Calculate p.\nAnswer: -4, 69884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1339386 and 107787.\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 14*p**2 + 16*p + 32. Calculate u(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/4950*-15*3*-2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*o)*(7 - 4 - 2)*(0 + 2 - 1).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 41 = -45. Suppose -2*t - x + 2 = x, -5*t + w*x = -40. Solve -5*b - 5*o - 15 = -2*o, -2*b = 2*o + t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 2. Let d be p(0). Let x = 6 - d. Suppose x*q = -64 + 188. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, 11, -0.06, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(0 + 1 - 2)*(1 + z - 1).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -15, -19, -23, -27, -31?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241, 432, 517, 442, 153, -404?\nAnswer: -1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 9*h**2 - 19)*(24 - 34 - 14).\nAnswer: 216*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n - 24. Let h(k) = -k**2 - 8*k - 7. What is the units digit of h(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-22))\/2*13768\/(-24094).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/100)\/((-1)\/1))\/((-12)\/50)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(2448) + -1) - (sqrt(2448)*1 + 4 + sqrt(2448))) + -3)*1)**2.\nAnswer: 192*sqrt(17) + 156673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**5 - 10*u**3 - 101*u**2 wrt u?\nAnswer: 60*u**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*b + 946*b + 14*b + 5 - 2 - 1 to the form y*b + z and give y.\nAnswer: 949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151 by -4.\nAnswer: 151\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 13. Let i = u - 5.5. Which is the second biggest value? (a) 2\/3 (b) i (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffpgpgegwm. What is prob of picking 1 g, 1 e, 1 m, and 1 w?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**2 + 15*r - 2. Let k be 1\/3 + 190\/15. Let z = k - 8. Is h(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxd when three letters picked without replacement from {b: 1, y: 3, a: 3, x: 2, r: 4, d: 2}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m - 5. Let p(y) = y. Let x(f) = -2*p(f) + r(f). Suppose -u + 2 = b, 10 = b - 0*u - u. Let n = b - 2. Determine x(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**2\/3 - 32440*p - 389344\/3 = 0?\nAnswer: -4, 24334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 6:28 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3938)\/(-297) - 13)\/(8*(-2)\/(-96)). Let 4\/3 - 38\/9*b - h*b**2 = 0. Calculate b.\nAnswer: -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 184.7 in 0.1, -2\/5, -2, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v + 11 = 0. Let t = -58002 - -58211. What is the highest common factor of v and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3) + (-12)\/(-288). Let u = a + 31\/24. What is the second smallest value in 5, u, 2\/93?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -7. Let s = -0.308 - -23.008. Let o = s + -22.3. Which is the second biggest value? (a) 7 (b) r (c) o (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4 - 6 + x + 2 + x + 2. Suppose -14*q + 16 = -10*q. What is j(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 99\/7 + 24\/7*a - 3\/7*a**2.\nAnswer: -3*(a - 11)*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 + 181*h**2 - 1683*h + 196. Give y(-99).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 14*f. Suppose -57 = -3*y - 5*p, y + 3*p - 112 = -89. Calculate l(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1663*f**3 - 2*f. Suppose k + 37 = -5*i + 119, 0 = 2*i - 5*k - 22. Suppose i*u = 11*u - 10. Let x be m(u). Round x to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 41 = 4*r - 9*r, 3*r + 15 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, n: 3, y: 1, o: 1, e: 4, f: 1}. What is prob of sequence en?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78636 is divided by 50.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -13.71. Let x = 2.234 - h. Let p = x + -1. Round p to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 3 - 4 - 11 to m + f*a and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6016\/2397*-17*(-21)\/8?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*c - 5. Let g be ((-63996)\/16)\/(c\/36). Let m be 2\/4 - g\/6. What is m rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 2*u + 2. Let w be q(0). Suppose 0 = w*s - 5776 - 10224. What is s rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -329 + 495. Let m = -110 + l. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18cc (base 13) to base 4\nAnswer: 322011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5429972 a multiple of 498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19847, 19842, 19835, 19826, 19815, 19802, 19787?\nAnswer: 19770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -10.8. Let n = q - 6.2. What is the nearest to -1\/3 in 1, -4, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -1 (c) -10618 (d) -3\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**3\/3 + 6542*h**2\/3 + 4910110*h\/3 - 733196654\/3 = 0.\nAnswer: -1699, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 12*g**2 - 4*g - 11. Calculate o(4).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (1 - (-3 + 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 2 - 9 - 9 - 10 - 2*h - 37.\nAnswer: -2*h - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 2446?\nAnswer: -2444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 9 - 5. Solve -12 = -2*g - 5*q, 0 = 4*g + 7*q - c*q - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 2. Let t(s) = -2*s - 5. Let v(a) = 5*j(a) + 2*t(a). Let l = 60 - 50. Let c(g) = 7 - 4*g**2 - l + 3. What is c(v(x))?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(1 + 1 + 0)*(19121*r - 86360*r - 4884572144 + 4884572144).\nAnswer: -268956*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 44. Let k = -32 - n. Solve -5*b - k = -0*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-262*z + 55*z - 209*z - 298*z - 670*z)*(-z - 4*z + 0*z).\nAnswer: 6920*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 17 + (4 - 12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4038 and 378.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 319.986 - -0.014. Let g = 321 - i. Which is the third biggest value? (a) -0.069 (b) g (c) -3\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15.6903341*-0.03\nAnswer: 0.470710023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4493, -0.5, -5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -30. Suppose y = 5*k - 8*k. List the prime factors of k\/4 + -2 + 93\/1.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 265031 (base 11) in base 5?\nAnswer: 101313022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7511, 30027, 67553, 120089, 187635?\nAnswer: 270191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {v: 2, o: 17}.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -35. Let q(i) = x - 8*i + 0 + 7*i. Let g(k) = k - 1. Let m(y) = -16*y + 24. Let p(w) = -48*g(w) - 2*m(w). What is -2*p(f) + 36*q(f)?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -15. Suppose 2*a = -4 - 2, -k*r - a + 257 = 0. Let o = r + -36. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + 183. Let z = f + -203.7. What is z rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.34 + -0.34. Let c = 26 - t. Do c and -0.16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14874\/1091 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8595 and 3673885?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**3 + 7*p**2 - 242*p + 802. Give t(4).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**2\/3 + 155974150*f\/3 + 155974151\/3 = 0.\nAnswer: -1, 155974151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 12. Suppose -2*p + 6*p = -16. Let t be g(p). Let c(f) = 10*f - t*f - 1 - f**3 - 4*f. Let w(x) = -2*x**3 - 3*x - 2. Give 3*c(j) - 2*w(j).\nAnswer: j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(125) - 1*sqrt(125)*-1)**2 - (-4*(-5 + sqrt(180) + -2))**2.\nAnswer: -3164 + 1344*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(475)*5*-3.\nAnswer: -75*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -1\/6*b**3 + 0*b**2 - 21 + 8*b + 1\/6*b**4 - 1\/20*b**5. Let p(c) be the first derivative of y(c). Calculate p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7c40 + -1ba7?\nAnswer: 6077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**6\/120 - x**5\/15 - 5*x**4\/6 - 13*x**3\/6 - 3*x**2. What are the prime factors of d(-7)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 36*w**3 - 9 - 83*w**3 + 2*w - 4*w + 40*w**3. Let f(m) = -3*m**3 - m - 4. What is -5*f(a) + 2*h(a)?\nAnswer: a**3 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -15*(-7)\/945 - (-106)\/18. Let b = 222 + -207. Solve -k*w + w = -b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 660, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 - 3*k - 3. Let x(r) = 4*r**3 + 5*r + 6. Let j(w) = -w**2 + 4*w - 3. Let u be j(4). Calculate u*x(f) - 5*v(f).\nAnswer: -2*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a gram in milligrams?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25075.32 meters?\nAnswer: 25075320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16046 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 64717, 65243, 65769, 66295, 66821?\n\"Answer: 526*i + 64191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10*(3\/6 - 0). What is the highest common factor of 20 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let l(k) = 214778*k**2 + 7*k - 1. What is l(q(i))?\nAnswer: 214778*i**2 + 7*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 993 (base 11) to base 12\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/114*6\/40?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -75934728 - -1?\nAnswer: -75934727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(8\/(1 + 7)). Let y(j) = -j**3 - 5*j**2 - 5*j - 11. Give y(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6318429108 to the power of 1\/3, to the nearest integer?\nAnswer: 1849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 253201, 0, 4.\nAnswer: -3, 0, 3, 4, 253201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*s**3 + 1024\/3 + 128*s + 16*s**2.\nAnswer: 2*(s + 8)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (-14 - (-14 - -2 - 11)) + 67?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m - 1. Let a(i) = -103*i. Calculate a(k) - x(k).\nAnswer: -99*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5300*n - 169636. Give l(-32).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1. Let b(a) = 6*a + 6. Let k(y) = -y - 1. Let z(u) = b(u) + 4*k(u). Let x be ((-4)\/(-2))\/(2\/1). Calculate x*z(c) - 2*w(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/94 or 1\/1090?\nAnswer: 1\/1090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 232498526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0.32 (b) 5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b\/(b*b\/b**(1\/10)*b)))\/b)\/((b*b*b*b*b**(-2\/11))\/b)*b**(-2)*b*b*b**(-1\/12))**(-8\/11) assuming b is positive.\nAnswer: b**(2642\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 + 1270833*a**3 + 134578990560*a**2 - 1211313854700*a.\nAnswer: 3*a*(a - 9)*(a + 211810)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17761 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*p - 5*p - 12, 4*p + 16 = -4*z. Let s = -1.124 + 0.924. What is the third smallest value in -5\/4, s, p, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 885+549\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334996.\nAnswer: 2, 89, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -72*q*w + 1857951*q + 16777*w wrt w?\nAnswer: -72*q + 16777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -33, 5, -2, -3, -6 in descending order.\nAnswer: 5, 3, -2, -3, -6, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 904 + -908. Which is the nearest to 0? (a) -1 (b) 7 (c) f (d) -2\/125\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 16. Suppose x*g = g + 155. What is the common denominator of 6\/4*(g + -2) and 14\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: What is the next term in -51, -383, -729, -1095, -1487, -1911?\nAnswer: -2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*j + 4 + 5, -2*f + 5*j - 7 = 0. Let q(h) = -18*h - 36. What is the lowest common multiple of 36 and q(f)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/9 - 19*b\/9 - 26\/3.\nAnswer: -(b + 6)*(b + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m. Let u be p(7). Let j = u + 28. What is the remainder when 27 is divided by (-309)\/j - (-8)\/28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 3:51 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*i + 6. Suppose 3*d + 2*s - 16 = 0, -5*d = -3*d + i*s + 4. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -2299887965504.4.\nAnswer: -2299887965504.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 538.8332 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46203*s**2 + 23*s + 534 wrt s?\nAnswer: 92406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16924723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 19 = 16*s. Let k(f) = -3*f**2 - 73*f + 16. Is 35 a factor of k(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46797751 is divided by 27889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.36 and -2.948519246.\nAnswer: -2.588519246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/12 + -2*(4\/(-24) - 0). Solve -3\/4*i**4 + 0*i - 1\/4*i**f + 1\/4*i**5 + 3\/4*i**3 + 0 = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.6. Suppose -10 - 39 = 56*c - 14 + 133. What is the third smallest value in z, -2\/29, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 5*z**2 - 3*z - 16. Let g be v(6). Suppose g + 1 = -3*p. Which is smaller: p or -1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 n when four letters picked without replacement from nnvvnnnnnnn?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -31.2735 > 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.52 less than or equal to 1.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.1 - -11. Let a = 2\/3 + -5\/12. Let r = -34 - -39. What is the closest to 1\/3 in r, o, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -52*s**2 - 4*s - 34 wrt s?\nAnswer: -104*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 13. Let y be t(2). Let w(m) = m**3 - 10*m**2 - 5*m - 6. What are the prime factors of w(y)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-4))\/((-3)\/(-138)). Find the common denominator of (-2)\/(-4) + b\/(-5) and -57\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - i. Let j = 1 + -1. Let g be n(j). Solve g = h + 2 - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*x + 3787 = 3169. Let g = -4 - -6. Suppose -g = -2*t + t. Solve -t*f - f = -x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1291 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (23 + -12 + (-245)\/28)*8\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -866.1 - -872.0972. Let s = 1 - -5. Let v = s - f. What is v rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 535859*a**2 + 68*a + 568. Let w be h(-8). Round w to the nearest 1000000.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 2. Let f = n + 10. Which is the nearest to -0.1? (a) f (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + h + 2*h - 23 = 0, 3 = q - 2*h. Calculate the greatest common divisor of q and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02222 rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.756639 to three dps.\nAnswer: -2.757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5844407.9999988 - 5844412. Let s = -0.02 + -3.98. Let l = s - z. Round l to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**2*l**4 - 6*k**2*l + 3*k*l**2 + 3*k*l + 1009*l**5 wrt l?\nAnswer: 24*k**2*l + 60540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 - (-3 - (-22 + 31 + 1 + -4) - -6)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2510, -2495, -2496, -2519, -2570, -2655, -2780?\nAnswer: -2951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*a**2 - 25523 - 23*a**3 + 12*a**2 + 25523 + 7*a**4 to the form o*a**4 + g*a**3 + j + r*a**2 + f*a and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 66, 111, 158, 201, 234, 251, 246?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 4 = -13*j, 0 = 3*r - 5*j + 58 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4*y - 2 - 8 = 0, -2*y = 5*k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 8*y**2 + 8*y - 6. Let d be k(7). Let m(j) = -2*j**2. Let c(a) = 0*a**2 - 6*a**2 + 7*a**2. Determine d*c(o) + m(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172639?\nAnswer: 31, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1254984?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 529*g**3 + 490*g**3 + 113*g**2 - 1017*g**3 - 109*g**2.\nAnswer: 2*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 58. Let q = 47 + h. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130335 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 + ((-8)\/(-16))\/(4\/64). Which is greater: -1\/622 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2066*k**3*r*v - 154*k**3*r + k**3*v + 117*k**2*v + r*v - 369*v with respect to r.\nAnswer: 2066*k**3*v - 154*k**3 + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 + 0 = -42*r. Sort r, 196, -3 in increasing order.\nAnswer: -3, r, 196","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**5\/240 - q**4\/12 - 7*q**3\/24 - 10*q**2 - 2. Let y(h) = 0. What is h?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t - 19 = t + 18*t + 2*m, 2*t - 58 = 2*m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72583 is divided by 24138.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - -10 - (0 - -3). Let q = 23 - 14. Calculate the remainder when q is divided by (4\/(-3))\/(l\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 35*d**2 - 125*d - 39. Let c be t(-31). Let a(o) = o**2 - 3*o - 7 + 9*o + 1. Is 7 a factor of a(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 5*z = 12. Solve 0 = -3*g + z - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**8\/2184 + 22*k**7\/1365 + 2*k**6\/13 + 3*k**5\/5 + 45*k**4\/52 + k**2 - 88*k. Solve n(p) = 0.\nAnswer: -15, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 142 - 88. Is 33 a factor of ((-12)\/(-18) + 4)*c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -96, -141?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzmcywp. Give prob of picking 1 z and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -7) + (-14 - -14 - 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from amaaamaa?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 15. Let t = i + -6. What is the closest to t in -1, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 18*o**3 + 7 + 19 - 10.\nAnswer: -18*o**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.3619.\nAnswer: -1.4476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 17\/153*153)*(-2)\/(-14).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33426, -133721, -300882, -534909?\nAnswer: -835802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -564 or -20476?\nAnswer: -20476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 - 2 + 2 + (0*f + 3*f - 2*f)*(11 - 11 + f) + 3*f**2 + 0*f**2 + 3*f**2 - f**2 + 3 - 3.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267195?\nAnswer: 3, 5, 47, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44505 (base 6) to base 12.\nAnswer: -3735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 63265 - 524?\nAnswer: 62541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/13)*u*u**(-1\/4)\/u*u**(1\/3)\/u*u**(-2\/5))\/(u**(-5)*u\/(u\/(u*u\/(u\/(u**(-3)\/u))*u))*u**(-1\/5)*u*u\/(u**6*u)) assuming u is positive.\nAnswer: u**(8369\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 6 = -4*r, -3*r - 2 = -4*u. Let m(o) = -4*o + 10*o**u + 0 - o**3 + 0. Is 15 a factor of m(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from qqbbqqqqq?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 14*o - 37. Let r be b(5). Suppose -r*m + 75 = -28*m. Suppose 1 = -y + m. Calculate the smallest common multiple of 12 and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122392, -244799, -367210, -489625, -612044, -734467?\nAnswer: -856894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*p = 4*a + 1096, -3*p + 1097 = -4*a. Let n = a + 388. Let k = n - 80. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 63. Suppose -5*g + 3*z - 124 = -10*g, g = -z + 26. Let h be x(g). Suppose 42 = 2*t + 2*d, t - d - h = -11. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 18*x**2 - 3*x - 12. Let j be w(-18). Suppose j*u - 13*u - 15689 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 860\/(-1290) - (1\/3 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 6, 219037, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -35950, 0.13, -0.27, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -129*s - 815. Determine d(-7).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 19. Let g(s) = s - 13. Let k be g(w). Let b(i) = -i + 1. Let h(a) = -1. Give k*h(t) + 2*b(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -44, -198, -468, -866, -1404, -2094?\n\"Answer: -2*y**3 - 46*y**2 - 2*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 11:42 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4\/5 (b) -12 (c) 1127 (d) 0 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.59 - 5.13. Let w = -0.46 + f. Let m = -1 + 0.5. Which is the second smallest value? (a) 5 (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942206999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298, 577, 856, 1135, 1414, 1693?\nAnswer: 1972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 3144 = -0*m. Suppose -g = 3*g - m. Is 19 a factor of 8\/28 - g\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6756 - -9517. What are the prime factors of y?\nAnswer: 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d - 11. Let a(b) = -13*b - 46. Let h(j) = 4*a(j) - 18*c(j). Let w be h(-6). Solve 0 = -m - z + 2, -17 = w*m - z - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11.6 in -3, -5, 1.5878?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47636809798 + 0.0304.\nAnswer: -47636809797.9696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1240*c - 39986 - 96369 + 18555 for c.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-310)\/(-3100))\/(31\/(-22010)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18843569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 7562482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2422244334 - -31?\nAnswer: -2422244303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3447 - 24127\/7. What is the third biggest value in 0.07, 0.1, k, 3.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/7522503?\nAnswer: 4\/7522503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -390, -778, -1166?\n\"Answer: -388*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 8*g - 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 7184762.\nAnswer: 7\/7184762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1050*s + 413760 = -6222*s for s.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, 1146\/311, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*v + 41, -5*v - 352*a = -356*a - 70. Solve 14*r - v*r - 5*b + 5 = 0, 0 = -2*r + 2*b + 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 115*t**2 + 4408*t + 56316.\nAnswer: (t + 38)**2*(t + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -281, -359, -437, -515?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*v = 18, 4*b = -4*v + 212 - 232. Solve 3*f - 3*z - 6 - b = 0, -2*z - 9 = -3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -530 + 22. Let n = x + 347. Round n to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(4*n + 7 - 7)*(0*n + 0*n - 2*n) + 3*n**2 + 3*n**2 - 4*n**2.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(246\/(-48) - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*z)*(70 - 1 + 25).\nAnswer: 188*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/2, 4, 3, 3\/8, -0.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*v + 97289, -4*x + v + 6307 + 90962 = 0. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**6\/40 - 2*s**5\/15 - 11*s**4\/8 - 2*s**3\/3 + 5*s**2 - 13*s. List the prime factors of a(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 4*v**2 + v. Let c be b(4). Let s(o) = -1. Let n(k) be the second derivative of k**4\/6 - k**3\/3 - 3*k**2\/2 - k. What is c*s(z) - n(z)?\nAnswer: -2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16324*j**2*w*y - 1533*j**2*y**3 - 63*j*w*y**3 - 5*j*w*y + 1455*j*w - j*y**3 + 2*w*y + 36*w wrt j?\nAnswer: 32648*w*y - 3066*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -708033*y**2 - 2*y + 39698 wrt y?\nAnswer: -1416066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**4\/4 - 4*k**3 - 7*k**2 + 16*k - 13. Let c be p(13). Suppose 2*b - 2*o = 10, o + 10 + c = 5*b. Solve b*x = -1 - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5 - 75*j**4 - 414*j**3 + 804*j**2 + 1704*j - 2016 = 0. What is j?\nAnswer: -14, -12, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 11, -10349, -1, -1\/4, 4, -0.3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235466 (base 10) in base 16?\nAnswer: 12da0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*1*5 - (sqrt(130)\/sqrt(250))**2.\nAnswer: -13\/25 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 12 = -4*r - 2*x, 3*r - 3*x - 27 = 0. Suppose 0 = 3*n - 3, 3*n + r = -4*q. Is 2 + (-1 - q) - -16 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**5\/8 - 8397*u**4\/8 + 50253*u**3\/8 + 58653*u**2\/8 = 0. What is u?\nAnswer: -1, 0, 7, 2793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/12*(-1344)\/(-28). Let h(n) = 5*n + 5. Let u(y) be the first derivative of -9*y**2\/2 - 9*y + 1. Suppose 4*c - 18 = 10. Give c*h(a) + v*u(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -o - 117*a + 56*a + 57*a, -4*a = -a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddohhjjojzjo. What is prob of sequence ojz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400*d = 408*d - 16. Solve d*m - 5*o + 20 = -0*o, 0 = 2*m + 3*o - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1619, 1614, 1601, 1580, 1551, 1514?\nAnswer: 1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(2299) + 5 - (sqrt(2299) + sqrt(2299)*2)*-1))**2 - (sqrt(190)\/(sqrt(810)*-1 - sqrt(810)) + sqrt(19) + 1 + 5 + sqrt(931) + 1*sqrt(931)).\nAnswer: 227827*sqrt(19)\/18 + 1324794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.1. Let i = -0.3 - o. Let n = 22 + -19. Put n, 1\/6, i in decreasing order.\nAnswer: n, 1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 9:09 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*r + 7*r. Let d be r\/(-12)*(23 + 4). Suppose -d*w = -w - 248. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g + 24 - 35 + 3*g - g. Let u be o(-7). Let x be 52\/6 + (-2)\/3. Solve -7*p = -u*p + x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 6*w. Suppose 4*b - 81 = 3*p, 4*p + 84 = 7*b - 3*b. Suppose -21 = -3*v + b. What is the remainder when v is divided by i(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-5*v + 2*v + v)*(-7 + 27 + 24 + v).\nAnswer: 2*v**2 + 88*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -96, -98, -100, -102?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-378)*-2 + (-2)\/(-18).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -38*b + 701. Let z be n(18). Solve z*s = -27*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-152) + (-10444)\/(-7448)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -89*w - 359. Give p(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 z when four letters picked without replacement from zggggczgv?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 294\/4 + (-153)\/(-102). Let g(v) = -v**2 + 6*v - 5. Let s be g(4). Suppose s*b + t = -30. Which is smaller: b or -34?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5726758001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 10. Let g be l(-14). Is (2653 - 0)*(25 + g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27495 and 72?\nAnswer: 219960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28796?\nAnswer: 2, 23, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0*(1 + -2))\/(-1). Suppose q + 2 - 5 = z. What is the tens digit of (3\/2)\/(q\/4) - -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70751.\nAnswer: 139, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 224.91 - -5.09. Let o = n - 225.64. Let h = 5 - o. What is h rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -2 + 0 + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z = 26 - 126. Sort z, 4, 8.6 in decreasing order.\nAnswer: 8.6, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 4*a**2 - 4*a + 3. Let i be v(2). What is the tens digit of (-10 - -9) + i + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 14*r**2 - 31*r - 6. Let a be 9\/30*5*-10. Let h be t(a). Calculate the greatest common factor of h and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13022 + -1021233?\nAnswer: -1002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1761060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183075669?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18159, -36422, -54795, -73284, -91895, -110634, -129507, -148520?\nAnswer: -167679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s + 4. Determine y(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 21606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1392 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 1:13 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2 - 63*p + 30. What is x(15)?\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -27485\/6?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -941*q - 2740*q - 1398*q in the form l + p*q and give p.\nAnswer: -5079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1082 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27, -117, -269, -483?\n\"Answer: -31*y**2 + 3*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*p + 131*p + 97*p as q*p + h and give q.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 257?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-77))\/(5\/35).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/12 + (-46)\/(-8). Let h = t + -4. Suppose -h*a + 27 = -j, 5*j - 4 = -3*a + 4. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 61600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from eemmmmpqmmmemmemmme?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*p = 4*p + 165, -5*p = -5*m + 165. Let u = m - 28. Let w(v) = -v**3 + 5*v**2 - 2*v + 5. Determine w(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*p - 945 = 0. Suppose -10*m + p = -355. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2914538?\nAnswer: 2, 11, 137, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1785\/2205 + (-2)\/14)\/((-38)\/(-3)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -1 + -3)\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*s - 103*s + 192 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x**2 - 12*x. What is q(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + (sqrt(2448) - ((sqrt(2448)*3 - sqrt(2448)) + sqrt(2448)))*-3 + 2*sqrt(2448)*-5)*3)**2.\nAnswer: -124416*sqrt(17) + 12695616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3 + 2. Let j(t) be the first derivative of t**5\/120 - t**4\/12 - 5*t**3\/3 + 9. Let q(c) be the third derivative of j(c). Give q(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1000456 (base 9) to base 8\nAnswer: 2016550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-4 + 5)) + (-5 - (0 + -1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*p = -1, 2*b + 11 = 5*b + p. Suppose 0 = -b*x + 14 + 2. Solve -h + x*h + 5*z = -15, -5*z = -3*h + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/41 or -477060?\nAnswer: -5\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70202 (base 8) to base 7.\nAnswer: -146654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4710 and 165?\nAnswer: 51810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i - 10*i - i**2 + 2*i**2 + 0*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44777 or 134327\/3?\nAnswer: 44777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2292 is divided by 287.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -41.6, -1, -4, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w. Let p(z) = -60*z**2 - 21*z - 21. Let d(m) = 67 - 32 - 33 + 2*m + 6*m**2. Let n(j) = -21*d(j) - 2*p(j). What is b(n(t))?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**3 - 57*o**2 - 32*o + 66. Calculate g(21).\nAnswer: 2040","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 27*s**2 + 27*s - 28. What is f(26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11613 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 100011 (base 2) to base 9\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -117029829 divided by -4\nAnswer: 117029829\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -2517862?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - a?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 52 = 18. Let a(s) be the first derivative of 0*s**x + 0*s - 12 + 1\/3*s**3. Let m(d) = 15*d**2. Determine a(m(r)).\nAnswer: 225*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1457, -9180, -30139, -70952, -138237?\nAnswer: -238612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*m**4 + m**2 - m**2 + (3*m - 3*m + 2*m**2)*(2*m**2 - 2*m**2 - m**2) - 2*m**3 + 2*m**3 - 2*m**4.\nAnswer: -14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2044 - -20473\/10. Calculate the common denominator of 57\/(-2 - (5 + 1)) and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 1553631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13784 + -1639. Suppose -2*f + l = 3*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*c - 22, 4*z = -4*c + 2*z + 50. Suppose c - 79 = 3*p. Let y = p + 44. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (16 - 2) + (-10 - 30 - -46)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -h - 149, 113 = 3*v + 2*h + 47. Calculate the remainder when 6*(12 + 2 + -1) is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-276)\/(-14) + 6\/21. Let g(z) = -z**2 + 28*z - 71. Let v be g(25). What is the third derivative of 3*x**2 + 20 - d - 9*x**v wrt x?\nAnswer: -216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -93*u. Let h(l) = 143*l**2 - 1. What is a(h(f))?\nAnswer: -13299*f**2 + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -11011010202?\nAnswer: 11011010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*h - 126. Suppose -18 - 18 = -18*o. What is the derivative of -h*a**o + 44*a**2 - 21*a**2 + 2 wrt a?\nAnswer: -16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 6*q**2 - q - 6. Let i be h(7). Suppose -i + 26 = -l. Calculate the least common multiple of l and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(22\/243880) + 306\/561. Is d bigger than 11086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26971 and 5.\nAnswer: -134855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 283, 3, -138 in descending order.\nAnswer: 283, 3, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -6*n + 2*n. Solve n = -r + c + 1, c - 1 + 5 = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -8, -4*x + 5*o = -8 - 8. Suppose -c + 9 = m + 2*m, 0 = 3*m - 6. Sort c, -4, x.\nAnswer: -4, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 32. Let c be 0 + (-6)\/p*-6. Is c\/(-20) - 33312\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 + (2 - -2) + (-15 - -7 - -8)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101011111010010 (base 2) to base 6.\nAnswer: 1103442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (5 - 3) - (-10)\/(-20).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67 or -2019?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -5. Let x = 38 - f. Suppose 6*z = x*z. Solve z = -r + 5*r - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10881332.099 rounded to the nearest one hundred thousand?\nAnswer: -10900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 32*l**2 - 11*l - 5. Let t(x) = -129*x**2 + 45*x + 21. Suppose -21 = -v + 2*v. Let n(w) = v*q(w) - 5*t(w). Determine g, given that n(g) = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1682647 to the nearest integer?\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 6\/5 (b) -1 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15579925 to the power of 1\/2, to the nearest integer?\nAnswer: 3947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3502.\nAnswer: -10506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 6*y - 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 14. Let n = -13 + 18. Let j = n - y. Which is the biggest value? (a) 0.1 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -6. Suppose h*n - 44 = k, -n + 5*k = 4*n - 70. Calculate the highest common factor of 110 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**7\/70 - 7*z**6\/10 - 131*z**5\/10 - 231*z**4\/2 - 1089*z**3\/2 - 6*z**2 - 2*z - 77. Factor i(r).\nAnswer: -3*(r + 3)**2*(r + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - 0. Let a = -8.01 - -8. Let d = -8.01 - a. What is the nearest to 0 in d, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1326, 1327, 1352, 1413, 1522, 1691?\n\"Answer: 2*i**3 - 13*i + 1337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/5)\/3*-10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1737 divided by -5\nAnswer: 1737\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/13)*v*v)\/(v**(8\/9)*v))\/(v**(2\/9))**(3\/5) assuming v is positive.\nAnswer: v**(77\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5014 and -0.5691.\nAnswer: -0.0677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -132.493 - -62.7.\nAnswer: -69.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431180743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -71, -98, -159, -266?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + f**2 + (-9*f + 5*f - 6*f)*(0*f - f + 2*f))*(22*f - 22*f - 15*f**2) to c*f + b + u*f**4 + p*f**3 + y*f**2 and give u.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0095704 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 53180911 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 460611 (b) -3\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 13568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5) + (-188)\/30. Let o = -6 - g. Let p be -10*((-48)\/90)\/(-4). Which is the closest to o? (a) p (b) 12 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/142 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*t + 589704 - 231605 = -607733. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 3*x**5\/20 - 40*x**4\/3 + 693*x**3\/2 + 729*x**2 + 1086*x. Suppose h(v) = 0. Calculate v.\nAnswer: -2\/3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 1. Let f = 1 - z. Let o be (-12)\/(-10)*(-30)\/(-12). What is the closest to 0 in 5, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 - 273604*f**3 + 9332462514*f**2 + 1705311350288*f + 77694893607968.\nAnswer: 2*(f - 68492)**2*(f + 91)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -k + 2064, 2*i - 3*i + 2052 = -5*k. Let r = 20641\/10 - i. Calculate the common denominator of 115\/14 and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/6)\/((-1)\/3). Let h = w - -6. Let u(a) be the second derivative of -a**5\/20 - a**4\/3 - a**3\/3 - 3*a**2\/2 + 17*a. Give u(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 606\/(-60) - (-1)\/10 - 2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((-5)\/2 - -3). Suppose k*o = 64 - 4. What is the remainder when (-438)\/o*25\/(-10) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 570090530*r**4 - 75*r + 2429957?\nAnswer: 6841086360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 756734.3l in millilitres?\nAnswer: 756734300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/912*14*2\/2?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t**3 + 4*t**2 + 5*t + 1. Let g(s) = -9*s**3 + 7*s**2 + 9*s + 1. Determine -3*g(y) + 5*l(y).\nAnswer: 2*y**3 - y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2138 - 440. Let r = z + 275. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2651 is divided by 854.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0, -0.6, 3, -348?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - f**2 - 3*f**2 + 4*f**2.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*d + 203, -3*d - 4*g + 262 = -17. Calculate the remainder when 180 is divided by d.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 - 60*s**2 + 76*s**2.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 - 1 + 1 + (1 - 2 + 0)*(4*h - 6*h + 4*h)*(-2492*h + 1197*h + 998*h).\nAnswer: 592*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1 + 25*f**2 + 3 + 4*f - 23*f**2. Give s(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5830523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t**2 + 50*t - 3. What is the hundreds digit of u(-23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1742054683 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 82. Let j be t(8). What is the greatest common factor of j and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 2*g + 5. Let l(z) = -2*z**2 + z + 4. Let v(n) = 3*n**2 - n - 4. Let f(d) = -4*l(d) - 3*v(d). Let x(w) = 5*f(w) + 4*h(w). Give x(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -338, 2, -5\/17, -0.2, 5, -2\/5.\nAnswer: -338, -2\/5, -5\/17, -0.2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyy when three letters picked without replacement from {d: 5, y: 8}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/852 and -53\/994.\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/5 - 22*v**3\/5 + 6*v**2\/5 + 62*v\/5 - 44\/5 = 0.\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (sqrt(11) - (sqrt(1100) + sqrt(1100)*-3)) + 4.\nAnswer: -3 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r + r**2 - 9*r**4 + 2 - 9*r**4 + r**3 + 17*r**4 to o*r**2 + u + m*r**3 + b*r + d*r**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1632 and 5\/18?\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00375654216 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than 1756\/691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1917773 divided by -174343?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001376 rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4.619*8\nAnswer: 36.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*j - 45 = 39. Let r(n) be the second derivative of -1\/5*n**3 + 0*n**4 + 0 - 3*n + 2\/5*n**j + 1\/50*n**5. Solve r(y) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.424 times -16940?\nAnswer: -125762.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + h. Let k(w) be the third derivative of -w**5\/15 - 5*w**3\/6 - 2*w**2 - 10*w + 3. What is k(b) + 2*z(b)?\nAnswer: -2*b**2 + 2*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 28*n**2 - 240*n + 576.\nAnswer: -(n - 12)**2*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20, -43, -66?\n\"Answer: -23*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = -28*f + 2*j, 1216*f - 1220*f = -3*j - 90 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 12 = -0*g - 3*j, 4*g + 36 = 8*j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*((-168)\/9)\/4. Let p be 80\/f - 8\/28. Let z = p + 4. What is the nearest to -0.1 in -1, 2\/7, z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - o = 0, 3*l - 5*l = 5*o. Let p = -3 - -7. Solve p*k + k + 5 = l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2486699\/18 - -138192. Let y = n - 374\/9. Factor -y*s**2 + 1\/2*s + 1\/2 - 1\/2*s**3.\nAnswer: -(s - 1)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 92*p + 128*p**2 - 278*p**3 - 87 + 16 + 72*p**4 + 10*p**3 + 18 = 0. Calculate p.\nAnswer: -1\/2, 2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 5\/3*l**3 - 1\/20*l**5 - 7\/2*l**2 + 13\/12*l**4 - 4*l + 0. Is u(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i + 196 = -b, i - 98 = 4*b. Suppose 4*h + i = 2*p, 4*h = -0*p - 3*p + 137. Let q = p + -20. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2975 by 595.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -499\/5 + 18877\/190. Let y = 1\/19 - g. Let f = 0.2 + 0. Which is the second biggest value? (a) f (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -511 + 513. What is the third smallest value in 10.01, v, 4?\nAnswer: 10.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*v**2*y + c*v + 81*c*y**2 + 32*c - 757*v**2*y**2 - 3*v**2*y + 5*v**2 + v*y wrt c?\nAnswer: v**2*y + v + 81*y**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/12 - 15\/24?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156060 = 3*t + 15*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o - 5. Let m = 6 - 3. Let s(d) be the second derivative of 2*d + 0 + d**2 + 1\/6*d**3. Give m*q(r) + 8*s(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 1 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1584)*-1*-5)**2 - ((sqrt(132) + sqrt(132)*2*6 + sqrt(132))\/(sqrt(972) + sqrt(972) + -1*sqrt(972)))**2.\nAnswer: 16035844\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 46*i + 328*i + 8*i + 23. Is h(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -27, -35, -45, -57, -71, -87?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -458*i**3*o**3 + 13*i**3*o*v**3 - i**2*o**3*v**3 - 2*i**2*v**3 + 73*o**3*v**3 - 18*o*v**2 + o*v wrt i.\nAnswer: -2748*o**3 + 78*o*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-12)*-1)\/(10\/4). Let f = -0.08 - -3.08. Which is the closest to 1? (a) f (b) u (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 84. What is the common denominator of 43\/73 and j?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 363, 1222, 3009, 6192, 11239, 18618, 28797, 42244?\n\"Answer: 78*c**3 - 4*c**2 + 325*c - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 14*n + 184. What is h(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((66\/(-20))\/(2\/10)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -480065650 + -27.002?\nAnswer: -480065677.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 83?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1576084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*w**2 + 20*w**2 - 11*w**2 + 3*w**2 - 2*w**2 + 0*w**2 + (-1 - 2 + 2)*(-15 - 24*w**2 + 15))*((3*w - 2*w - 3*w)*(1 - 2 + 2) - 4*w + 3*w + 0*w).\nAnswer: -207*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 3*r - 16660000 = 0. What is r rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + w - 1)*(0 - 2 + 1) - 6 + 6 - 5*w)*(2*w - 2*w - 3*w).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4615 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -14*s + 16. Calculate the highest common factor of 536 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/168*88\/(-77).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1434117635.\nAnswer: 5, 3499, 81973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 3. Suppose 5*i - 2 + 17 = 0. Let p be t(i). Suppose 3*c - 5*b - 29 = 0, p*c - 2*b = -2*c + 26. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.199 + -4.801. Let u(l) = l**3 - 4*l**2 - l + 1. Let n be u(4). Sort 0.3, r, n in increasing order.\nAnswer: r, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089 is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x + 87 = -53*x - 11*x. Is -284\/91 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -15. Suppose 17 + 1 = h*j. Suppose 7 - 79 = -j*k. Solve 0*r = 3*r - k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 5*w + 2. Let y be a(-5). What is the hundreds digit of ((-12)\/(-4) - y) + 902 - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 336*v**3 - 36*v. Let q(h) = 48*h**3 - 5*h. Determine -5*c(u) + 36*q(u).\nAnswer: 48*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 47345703210129.\nAnswer: 47345703210128.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.6? (a) 2\/7 (b) -20 (c) -0.5 (d) 0.1875 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 816992383.9 - 26978530.9. Let k = 790013358.999749 - c. Let b = 494 + k. What is b rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17966, -17969, -17968, -17957, -17930, -17881, -17804?\nAnswer: -17693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8585, 17172, 25757, 34340, 42921, 51500?\n\"Answer: -d**2 + 8590*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 143 = 140. Solve 4 = k*v - v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3068*s**2 - 4*s - 148965.\nAnswer: -6136*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-157)\/((-1)\/(-4) + 0). Let m = h + 142. What is the tens digit of (-18)\/(-45) - m\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 1:38 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 1:11 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92139?\nAnswer: 3, 30713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(11\/5)\/(u**5\/u))\/(u**(-23)\/u*u**22) assuming u is positive.\nAnswer: u**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 21*b**2. Let a(c) = 29194*c**2 - 1. What is a(r(s))?\nAnswer: 12874554*s**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 40 = -0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 23. Let q = -273\/8 + 34. Which is the fourth smallest value? (a) q (b) 5 (c) -6 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1887 - 1687 - (111 + -3).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 14. Let v = -4\/77 + 26\/77. Which is the nearest to 1? (a) v (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 - 22 = 4*h. Let i be h\/42*8\/6. Let u = -3.94 - 0.06. What is the closest to 0 in i, u, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*g**2 + 298 - 298 - 3*g**2.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 634 = 4*a + 621, 130 = -o + 19*a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 2:30 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f**3 + 9*f**3 - 10*f**3.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 101*c**2 - 135*c - 414. Is 10 a factor of s(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/21)\/(2\/14). Suppose 0 = -c - 2, -a*c + 51 = 3*y + c. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 365\/(-25) + (-4)\/10. Let p = -7 - f. What is the greatest common divisor of p and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2\/13, 4972\/3, -1, 1.4 in decreasing order.\nAnswer: 4972\/3, 1.4, -2\/13, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 36503022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1518 and 0.1?\nAnswer: -151.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 3*a - 4*p + 104, a - 9*p + 8*p = -29 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7866759, 7866779, 7866799?\nAnswer: 7866819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241213 (base 5) to base 14.\nAnswer: 3381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1834170800?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 10 = 2*h + 3, 0 = -u + 2*h + 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20835671, 20835669, 20835665, 20835659, 20835651, 20835641, 20835629?\n\"Answer: -d**2 + d + 20835671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.062745 and 569576789.\nAnswer: 569576789.062745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(2)*-2*2 + sqrt(2) + sqrt(2)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 480862 to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-900)\/(-2550))\/((-3)\/(-51))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15.6319 and 12240.\nAnswer: 12255.6319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, 1\/3, -4, -1\/5, 29.361?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3*z*(z**2*z)\/z)\/(z**(-8\/5)\/(z*z**(-6))))\/((z*z\/(z*(z*(z*z*z**(-3\/2))\/z*z)\/z)*z*z**(-2\/19))\/(z**(-2\/9)*z)**(1\/4)) assuming z is positive.\nAnswer: z**(4787\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 - u**4 - 1 - 3*u**3 + 4 - u**2 - 4 in the form i + z*u + h*u**2 + n*u**4 + r*u**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -7*z**3\/3 - 10*z**2 + 8*z - 2. Let j be u(-8). Let l = j - -469. What is the remainder when l is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -25. Let n be (4\/14 - (-2)\/(-7))\/d. Suppose 3*k + 46 - 502 = n. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -380, -908, -1698, -2780?\nAnswer: -4184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (3 - -21) - -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, k: 9, n: 10}. Give prob of picking 3 n.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5913587 or -5913588?\nAnswer: -5913587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 2*u + 1. Let g be j(-3). Suppose 2*m - 4 = 2. Let p be 0\/5*(-3 - -2). Sort p, g, m.\nAnswer: g, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 416, 880, 1554, 2450, 3580?\nAnswer: 4956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -7. Calculate the lowest common multiple of n and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -109*k**4\/24 + 367*k**3\/6 - k**2 + 223*k. Find the first derivative of b(r) wrt r.\nAnswer: -109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((48\/30)\/1)\/(-2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2 = 2*v, -4*v = -v + l + 3. Let t be ((-5)\/(-15))\/((-49)\/(-21)). What is the fourth biggest value in 2, -0.1, t, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + a**2 + 2*a + 5. Let m be g(0). Suppose 4*d = -4*r - 44, d = 2*d. Let k = -4 - r. Solve k*s + m = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(52)\/sqrt(4))**2 + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2210334, 2210392, 2210482, 2210598, 2210734, 2210884, 2211042, 2211202?\nAnswer: 2211358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -7. Suppose 3*t - 5*t + 4*c + 38 = j, 4*c = 3*t - 63. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 18*q**3 - 2*q**2 + 2*q + 2. Let c be x(-2). Let r = c - -267. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**3 + 210 + d**4 - 4*d**2 - 199 - d + d**2 + 2*d**2 + 3*d**2 in the form g*d**2 + f + o*d**3 + z*d**4 + v*d and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 113244.175 to the nearest 1000.\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/21566 and 67\/83108.\nAnswer: 3407428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 34.23072\nAnswer: -13.692288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**8\/5040 - o**6\/360 - o**5\/30 - 2*o**2. Let r(l) be the third derivative of s(l). Differentiate r(d) with respect to d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - n**2 + 3*n - 12. Calculate u(5).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5839, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*r - 124 + 318*r - 147 - 181*r - 144 + 415.\nAnswer: -49*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e91f - 3?\nAnswer: -e922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from nvnlvlvvavvlnlzv.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4169 = -4*y + 3*w + 4196, 0*y - 3*y = -0*w - w - 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001011001 (base 2) in base 16?\nAnswer: -e59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 138 = -4*s + 210, 3*s = -p + 258. What is the remainder when 276 is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210444, 210374, 210304, 210234?\nAnswer: 210164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 10*o - 4. Let l be p(7). Let n = 25 - l. Put -1, 1, n in descending order.\nAnswer: n, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 3*m - 3*m - m**2 + 3*m - 3*m + (-2*m - 2*m + 3*m)*(57*m - 196 + 196))*(-3 + m**3 + 3).\nAnswer: -59*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -127*h**2 + 5150 - 5150 in the form p + k*h**2 + w*h and give k.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 + 1.4. Put 5, 0, j in increasing order.\nAnswer: 0, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 57, 162568 in descending order.\nAnswer: 162568, 57, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 + -0.2. Let x be ((-195)\/(-20) - 10)*-16. What is the nearest to -2\/7 in z, 10, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*l + 31*l + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -17881 divided by -17881\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2*y**2 + 12*b**2*y + 3*b**2 + 24611*y**2 - 160*y wrt y?\nAnswer: -2*b**2 + 49222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370 = -o + 374 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.12, 117, -0.02, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.3190032 rounded to two decimal places?\nAnswer: -163.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 79, -34, -225, -494, -841, -1266?\n\"Answer: -39*v**2 + 4*v + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*p + 12*p - 72. What is the lowest common multiple of p\/126 - (-44)\/7 and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/((-26)\/(-5)))\/(((-50)\/6)\/(-5)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0106 + 20.1106. Let h = -2.5 - 0.1. Let x = h + q. Round x to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 6*m**2 + 12*m - 31. Let q be l(7). Suppose -q*a + 35*a - 4092 = 0. Calculate the greatest common divisor of 297 and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 91, 3\/5, -97?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, a: 2, e: 3, n: 3, c: 10}. Give prob of sequence nea.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1196 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1 - 289.828717501?\nAnswer: -280.728717501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*f**5*r**3 + 4*f**5 - 3*f*r**2 - 30*r**3 wrt f.\nAnswer: 480*f**3*r**3 + 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 + -4.91. Let k be (1 - 1)\/(0 - -2). Suppose -5*t - 3*m - 13 = 0, 5*m - 6 = 5*t - 1. Which is the nearest to 0? (a) k (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0383*1.\nAnswer: 0.0383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/33900 and 63\/70625?\nAnswer: 847500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3233*-94.8\nAnswer: 306488.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**3 + 61*v**3 + 72*v**3.\nAnswer: 124*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 5. Let k be p(7). Let l = k - -29. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435*a = 459*a - 157*a - 19162 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 638.4 (b) 0.4 (c) -2 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31643440 + -5?\nAnswer: 31643433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 11?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbdd when four letters picked without replacement from {b: 2, d: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 2. Suppose x*o = o + 12. What is the common denominator of -55\/18 and o\/(-6) - 67\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -882 - -865 - (10 + -4 + 1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 5:42 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 9, -8, -1, -31, 4, 6 in ascending order.\nAnswer: -31, -8, -1, 4, 6, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5145.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 648\/(-78) + 28\/91.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64963.0784 - -0.146.\nAnswer: 64963.2244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11123 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.269566ng in milligrams?\nAnswer: 0.000009269566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 + 5250*y**3 - 113080*y**2.\nAnswer: -5*y**2*(y - 1028)*(y - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 575573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 465\/310 - 7*3\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3 = h, -4*h - 3*d = -6 + 1. Suppose -5*i = -5*r + 25, -i + 10 = h*r - 0. Solve -r*g - o = 29, 5*g - 4*o + 9 = -0*o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 1:39 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-4)\/(-3)))\/(264\/(-10752) - 1\/(-14)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 9:57 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-4)\/(-6) - (70 + -2). Let j = -293\/4 - y. What is the common denominator of j and (-4)\/18 - (-1054)\/(-360)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2355 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103 - 66. Suppose v = o - 128. Suppose 0 = -5*s + o + 310. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5 = -11. Let n be (-224)\/x*(-2)\/(-4). Let i(c) = 12 - 7 - n*c**2 - 5. Let f(a) = a. What is i(f(p))?\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01454009 to five decimal places.\nAnswer: -0.01454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 0*o**2 - 1\/80*o**5 + 1\/24*o**3 + 3*o + 0 - 1\/48*o**4 + 1\/120*o**6. Factor f(r).\nAnswer: r*(r - 1)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 6:52 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 157 and 15334661?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9, 26, 43, 60, 77, 94?\n\"Answer: 17*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (5 + (-3 - 1)). Sort -7, -1, u in descending order.\nAnswer: -1, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = -3*j. Let q = 29521\/8 + -3696. Find the common denominator of j\/6 + 435\/18 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -10. Let d = 18.5 - l. Let x = -18.5 - -18.9. Which is the second biggest value? (a) 5\/2 (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 - -111110110?\nAnswer: 111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 34*s - 124. Let y be j(30). Let c = 12477 - 149821\/12. Find the common denominator of y\/10 - 74\/140 and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -830893 - -1443374. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29944, -119770, -269480, -479074, -748552, -1077914?\n\"Answer: -29942*s**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 3*o = -3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 - 72111076*o\/9 - 650000910234722\/9.\nAnswer: -2*(o + 18027769)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25497, -24, 207 in decreasing order.\nAnswer: 25497, 207, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 16. Let f(h) = h**3 + 3*h**2 - 9*h - 22. Let o be f(-4). What is the nearest to -2 in o, p, -0.05?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -470 - -314. Let t = k - -170. What is the closest to t in 5, 2\/9, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-671)\/(-66) - (-2)\/(-12). Suppose -f*h + 98 = -3*h. What is the highest common factor of h and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1622960.\nAnswer: 2, 5, 20287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 250.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-30)*2 - -1\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9073753 - 9073746 + 18147499 - 17*v.\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -82*r + 13 + 47*r - 10*r**2 + 29*r - r**3. What is m(-9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -9 - 1 - -1) + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1187*o**3 + 1183*o**3 + 1190*o**3 + 1188*o**3 - 5943*o**3 + 1191*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 78?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8989313*v**2 + 9*v + 788637?\nAnswer: 17978626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 466301+29.821\nAnswer: 466330.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 1:33 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, -73, -125, -193, -283, -401, -553?\n\"Answer: -z**3 + z**2 - 38*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 14*q - 32 = 2*q - 16, 4*k + 35*q = -35 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 432 divide 419904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3990.01 rounded to the nearest one hundred?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4) - 0)*(-16)\/56?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c5 (base 16) to base 15.\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**2 + 3*y. Let u(v) = v. Let c(t) = -2*a(t) + 6*u(t). Let m(w) = -6*w + 36 + 5*w - 36. Calculate m(c(p)).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -228 + 293. What is the remainder when a is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -5c7?\nAnswer: -5c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 1. What is x(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - -1 - ((9 - 19) + -8). Let i(a) be the first derivative of 0*a**2 + 0*a - k + 2\/3*a**3. Let d(p) = 29*p. Give d(i(h)).\nAnswer: 58*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*l**5 + 0*l**4 + 0*l**4 + (3 - 3 + 2*l)*(2 - 2 + 2*l**4) + (146*l - 18*l**2 - 146*l)*(-257 + 257 - 69*l**3).\nAnswer: 1257*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*sqrt(833)*-4)**2.\nAnswer: 266560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-362*o + 3*o - 59*o)*(6*o**2 - 3*o**2 - 4*o**2).\nAnswer: 418*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*a + 18, 3*a - 5*o - 4 = 24. Sort -3, -1, a in ascending order.\nAnswer: -3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4310 = -3*v + 7. Find a such that -2*a**4 - 1439*a**3 + v*a**3 + 6*a**2 + 4*a = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brvrrbireebeer. Give prob of picking 2 r.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 47 = -7. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 - 92\/(-69)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 342 = 38*w. Solve 6*k + w = 3*o + 3*k, 2*k = -4*o - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1\/(19\/4 + -4 + (-3038)\/4056)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7317 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t + 1. Let p(j) = 2*j - 6. Let z(n) = -4*n + 13. Let f(x) = -13*p(x) - 6*z(x). Determine -4*f(u) + 3*v(u).\nAnswer: -u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -44. Let x(p) = 14*p + 11. Is x(m) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1889034, 1889065, 1889096?\n\"Answer: 31*k + 1889003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + d + 46 = 3*d, 4*v = v - 4*v - d + 68 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*j - 35, -5*c - 5*j = -3*j - 60. Suppose -4 = 2*g, 0*v + c = 2*v - g. Suppose 31 = 2*n + 3*o - 8*o, 17 = -n - v*o. Solve -n + 0 = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 2*n**2 + 4*n. Let b(q) = q**3 + 5*q**2 + 8*q - 1. Give 2*b(g) - 5*h(g).\nAnswer: -3*g**3 - 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1045, -933, -821?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.994062l?\nAnswer: 994.062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/72*(-516)\/43\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7039333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 0.224142?\nAnswer: -0.075858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -7, -15.\nAnswer: -15, -7, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + 71. Let n = p + -85.7. Which is the smallest value? (a) -1 (b) -16 (c) n (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14865.13*400.\nAnswer: 5946052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -220201201100 (base 3) in base 12?\nAnswer: -1b5839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1148*b + 1008*b = 1786*b + 209934 for b.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 72 + 93 = 27*f, 2*i + 222 = -f + 215 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = o + 9 - 4, -4*b = -o - 5. Suppose -5*n + 123 = x, 2*x + 13*n - 12*n - 264 = b. Calculate the greatest common factor of 171 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-123)\/(-7)*-2 - -11) + (-1)\/(-7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-125)\/(-35))\/(5 + (-34)\/7). Solve 33*g - 27*g = -h*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Suppose 2*l - 3*i = -0*l + 19, 16 = 3*l - a*i. What is the remainder when 3 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4322 + 5015. What is the greatest common factor of k and 308?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 348558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 2678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17964)\/(-14970)*5\/(-12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**4\/12 - 7*a**3\/6 + 9*a**2. What is the tens digit of o(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 2*l**3\/21 - 4*l**2 - 120*l\/7 + 319. Find j, given that y(j) = 0.\nAnswer: -2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**2 - 5*l**2 - 4*l**5 - 2*l**5 + l**5 - l**5 + (2*l - 1 + 1)*(0*l + 0*l + 2*l**4) - 3*l**2 + 3*l**2 - l**5 + 0*l**5 - 2*l**5 - l**5.\nAnswer: -6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 5. Let k be d(-6). Let p be 11\/2*(-1 - -3). What is the highest common divisor of k and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-63))\/((-53)\/((-2332)\/330))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 6:46 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -114*y**5 - 808*y**3\/3 + 216*y. Find the second derivative of k(x) wrt x.\nAnswer: -13680*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 = -5*d - k, d - 2*k - 368 = 5*d. Let r = -39 - d. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/(-17)*1\/(-8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10)*-140*14\/(-168).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 1. Let f(q) = 6*q**2 + 3. Suppose 0 = 5*n + 5, 3*a - 3 + 4 = 2*n. Let z(y) = a*f(y) - 4*m(y). Differentiate z(w) with respect to w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 8*a + 18. Let v be j(-10). What is the remainder when 22 is divided by 3*(1\/v - (-70)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) 7 (c) 0 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 2. Suppose -2 + 4 = c. Let u(a) = 6*a - 11. Let j(w) = c*u(w) + 11*o(w). Let d(l) = -l**2. What is d(j(r))?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9323 - -5224. Is v a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**3\/2 + 33*h**2\/2 - h + 2. Let b be m(-8). Solve b - 3 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.15936.\nAnswer: -0.15936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + 0*o**2 + 163 - 50 as c*o + h + q*o**2 and give h.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 176123 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 46*z**2 - 30*z + 113. What is the ten thousands digit of i(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s - 50 = -4*z, 0 = 2*s - 6. Suppose 0*x = -2*i - x + z, -2 = -i + 3*x. Suppose -9 - 11 = -i*l. Is l at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 253 in -0.2, -0.07, 1\/3, 1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06094 + 704.03906. Let s = x + -735. What is s rounded to zero dps?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5068 times 95\nAnswer: 481460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b - 202. Let f(n) = -2*n - 60. Give 10*f(m) - 3*u(m).\nAnswer: -2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -560 - -858. Let z(q) = -3*q - m + q**2 + 598 - 299. Let r(v) = v - 1. Give -r(h) - z(h).\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 19. Let y be (-6)\/9 - 42\/s. Solve y = h + 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9690 and 41310?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11187\/6640 + -13\/1328. Find the common denominator of f and -19\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o + 11. Let g be x(2). Does 3 divide (-46)\/713 - (-467)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 9*d + 5. Let s = 19 + -19. Suppose s = 4*c + q + 4*q - 7, 3*q = 5*c - 55. Determine u(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 632.5088 nanograms to kilograms.\nAnswer: 0.0000000006325088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o + 36 = 0. Suppose 0 = -5*m + 2*s + o, -8 = -4*m - 3*s + 13. Suppose w + 0*w = -4*j + 2, 2*w = -m*j - 1. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 9. Let t be u(-8). Let l = 21 + -21.22. Let o = -0.62 - l. What is the closest to t in -0.5, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -z, -5*r + 5*z - 4*z + 6 = 0. Suppose r*l = -2*l + 24. Suppose 0*x = -3*x + l. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2 - a - 2*a + a**2 - a. Let d(v) = -6*v**2 + 21*v + 11. Let c(g) = -2*d(g) - 11*x(g). What is c(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 709796739 to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24480, -98892, -222912, -396540, -619776, -892620?\n\"Answer: -24804*d**2 + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -13, 0, -0.2, 4.5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/27, -0.3, -5, -23, 2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 0.5, -6, -2\/73?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + x. Let i = 3 - -2. Let h(b) = -3*b**2 + 0*b**2 + i*b - b**2. Let l(q) = -q**3 + 8*q**2 + 9*q + 6. Let w be l(9). What is w*z(f) - h(f)?\nAnswer: -2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17288873743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 16\/(-18)) + -2. What is the closest to 2\/3 in b, 1, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from jujuuuuu.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = 8*z - 4*z - c, -2*z + 114 = 5*c. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7)\/j**(-3))\/((j*j*j*j**(2\/3)*j*j)\/j)**(-28)*((j*j**0)\/(j**(4\/7)\/j))**19 assuming j is positive.\nAnswer: j**(3371\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333368?\nAnswer: 2, 7, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/k**(3\/4))\/((k**2\/k)\/k*k**2)*k*k**(6\/5)*k**(-2\/15)*(k**(-1))**(7\/5) assuming k is positive.\nAnswer: k**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -218481, -438233, -657985, -877737, -1097489?\n\"Answer: -219752*n + 1271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1558372.\nAnswer: 2, 317, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1993381 is divided by 822.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 4*p - 6. Calculate h(5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28296 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 5, -8, 24, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1027 = -38*z + 10481 + 11370. Put 2, z, -5 in descending order.\nAnswer: z, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115 + 76. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x + 0 + 0*x**2 + 0*x**3 + 0*x**5 + 1\/6*x**6 + 1\/6*x**4. Find the third derivative of t(d) wrt d.\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 8*u)*(4 - 3*u + 8*u + 0).\nAnswer: 40*u**2 + 32*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 19*v + 95. Give x(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 90 - 8\/(-16)*-32. Solve 0 = u*g - 78*g - 28 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-664)\/(-2324))\/((-4)\/(-8)*(-1)\/28)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 50?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-818)\/(-7362)*(-16)\/1?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o - 2*o. Suppose -i = -2*i + 85. Suppose 4*t - 3*t - i = o. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-6) + 5\/(-15). Let a(u) = -16*u + 1. Calculate a(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 (base 9) in base 8?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4))**44\/(p**7*(p*p\/(p\/p**(-8)))\/p)*((p*p**(-5)*p)\/((p**(2\/7)\/p)\/p))\/(((p**(-2\/7)\/p)\/p*p)\/p)**(-2\/21) assuming p is positive.\nAnswer: p**(-1691\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73.5 - 16.5. Let d = y - -86. Which is the third smallest value? (a) 5 (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 76*s + 15. Let q be k(6). Let v = 1850 + q. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 + 15. List the prime factors of h.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 * -373\nAnswer: -9325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 - 11*a + 10. Suppose -4*o - 2*y + 24 = 0, -y + 16 = -o + 4*y. Let w be z(o). What is the nearest to -0.1 in 0.1, -3, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 134, -172, -1 in increasing order.\nAnswer: -172, -5, -1, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-20)*(-564)\/188.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/15918 and -59\/2653.\nAnswer: 15918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + -453b?\nAnswer: -454b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 - 20*k - 7. Let s be d(7). Suppose n - 6*n + 60 = s. Let f be (((-50)\/15)\/(-10))\/(1\/n). Let z(j) = -j**3 + 4*j**2 - 2*j + 6. Give z(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*r - 175*r - 170*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 24 = -7*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -154 - 0.05\nAnswer: -154.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/18)\/(-6 - 100\/(-16))*-1331475. Round x to the nearest ten thousand.\nAnswer: -1780000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**3 + 84*t**4 + 73*t**4 - 192*t**4)*(0 - 5 + 4 + (-5 + 1 + 2)*(13 + 22 - 8)) to m*t + k*t**4 + z*t**2 + c*t**3 + o and give c.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.6*-5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 9:04 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15510 and 2970?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 731119150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i. Suppose 0 = -7*m + 3*m - 16. Let g be j(m). Solve 0 = -g*a - 2 + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24935 is divided by 172?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w + 0*w - 3 + 7*w**2 - 8*w**2. Determine d(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 5. Let o = -44 - -49. Calculate q(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13302, 26556, 39810, 53064, 66318?\n\"Answer: 13254*p + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2 + 1\/4*w**2 + 1\/4*w.\nAnswer: (w - 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18076 divided by 4\nAnswer: 4519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from {i: 4, s: 1, d: 2, j: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 1, t: 11, v: 2}. What is prob of sequence vt?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -251.8549 + 266.449. Let r = -15.08 + 0.48. Let s = y + r. Round s to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1504*s - 1501*s + 4515*s - 1525*s.\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4148685, -8297365, -12446039, -16594707, -20743369, -24892025?\n\"Answer: 3*q**2 - 4148689*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) 0.08 (b) 2\/3 (c) -97 (d) 5 (e) 1\/6 (f) 316\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -52443 + 2?\nAnswer: -52441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 109177\/18 less than 6064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 670078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - b = -2630, -r + 4*r + 5*b - 3945 = 0. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + x - 2)*(-759*x + 396*x - 580*x) + 4*x**2 - 2*x**2 + 0*x**2 + 2*x**2 + 3*x**2 + 0*x**2 in the form k*x + h*x**2 + j and give h.\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5) - (-616)\/10. Suppose -4*j = -26 - n. What is the remainder when j is divided by (-8)\/5*(-6 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**2 - 378460*h + 1892275 = 0?\nAnswer: 5, 378455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 709 - 650. Let z be (-8)\/12*(-30)\/(-4). Sort 3, d, -4, z in decreasing order.\nAnswer: d, 3, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712 - 176 = 8*w. List the prime factors of w.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + c - 198811 = 5*a, 2*c = -9*a + 596435. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*u - 291 = -1089 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-37)\/(5\/2 + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**3 - 7*g**2 + 8*g + 12. Let p be x(-6). Let k = -499 + p. What is k rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8*i**2 - 187*i + 571. Determine l(3).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h + 2. Let s be -59 + -4 - (3 + -1). Let o = s + 63. Let j be (o\/(-6))\/(3\/(-27)). Determine n(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Let j(p) = -3*p**3 + p**2 - 5*p - 5. Let q be j(-2). Suppose 0 = 2*n - q - w. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -12*j**2 + 7. Let a(r) be the third derivative of 11*r**5\/60 - 4*r**3\/3 - 11*r**2. Let f(h) = 4*a(h) + 3*d(h). Differentiate f(x) with respect to x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72.9783002 + -0.4\nAnswer: 72.5783002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 174, 404, 696, 1044?\nAnswer: 1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6113 - -24453\/4. Which is bigger: 58.6 or p?\nAnswer: 58.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-1))\/3)\/(754\/17748*34)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1216) - (4 + (sqrt(19) - (0 + sqrt(19)) - sqrt(19))).\nAnswer: -7*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 155816 (base 9) to base 2\nAnswer: 10111011110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 7 + 5 = 0. Suppose 0 = -4*u, -z*u - 25 = -2*j - 3*j. Let i = j - -13. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26524919 to the nearest integer?\nAnswer: 5150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004639 rounded to 6 dps?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (37\/4)\/(2\/24). Suppose -l = 2*l - 3*r - p, 0 = -2*l + 4*r + 74. List the prime factors of l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8187258 centimeters to micrometers.\nAnswer: 8187.258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158213\/20 + 7907. Let h = 11396 + -114073\/10. Find the common denominator of i and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7338564?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439594182 to the power of 1\/2, to the nearest integer?\nAnswer: 37942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4953, -3, 18, -4, -2 in ascending order.\nAnswer: -4953, -4, -3, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -337565106.1443.\nAnswer: 337565104.1443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 320, 495, 688, 905, 1152, 1435, 1760?\nAnswer: 2133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(3*(-4)\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 4, -5, -4 in decreasing order.\nAnswer: 6, 4, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvvy when four letters picked without replacement from {y: 3, v: 9}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-4))\/((-6)\/(-24)). Suppose 4*n - p*h = 8, 3*h = n - 1 - 1. Solve -2*t + 7*t - 3*f = 4, 2*t = n*f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.3 and -5426119?\nAnswer: -23332311.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6) + (-6)\/27. Let z = -103\/1697 - -3703\/5091. Let z*f**4 + 0*f + 10\/9*f**3 + 0 + w*f**2 = 0. What is f?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 51, 183, 307, 423, 531, 631, 723?\n\"Answer: -4*p**2 + 144*p - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5\/37, -0.408, -8?\nAnswer: 5\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (18 - ((-5 - (5 - 11)) + -6))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*c - 5, 0*c + 4*p = -c + 17. Suppose -6*z = c*k - z + 25, -5*k - z = 5. Factor k*w**2 + 2\/5*w**4 - 2\/5 - 4\/5*w**3 + 4\/5*w.\nAnswer: 2*(w - 1)**3*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3570157.\nAnswer: 19, 41, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 + 4576*o\/3 + 1696848.\nAnswer: (o + 1908)*(o + 2668)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 299093521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**6\/120 + 3*q**5\/10 - q**4\/24 - 11*q**3\/6 - 15*q**2. Let o be x(-18). Sort 2\/17, 0.2, o in ascending order.\nAnswer: 2\/17, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.697.\nAnswer: 2.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10327*o - 1043034. Give v(101).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 1201?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2587532 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -9, -123, 0.54?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2021985 and 227547?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10*x. Suppose 0 = 30*l + 17 + 73. Let q(o) = 33*o. Let j(d) = -22*d. Let w(a) = -8*j(a) - 5*q(a). What is l*y(t) - 2*w(t)?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in months?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.82 less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35029 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 19, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282\/329*(-8071)\/(-3)?\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2*h*(h\/h**(-3\/4))\/h*h)\/(h**(-5)\/h**(2\/9)))\/((h\/h**0)**(-1\/5)\/(h**(5\/3)\/(h*h\/h**3))) assuming h is positive.\nAnswer: h**(2311\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 188 - 2?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 2*u**2 - 1. Let a(t) = t**3 - 9*t**2 + t - 11. Let f be -1*(2 - -1)*-2. Let g be ((-18)\/(-4))\/(3\/f). Let v be a(g). Calculate k(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*i**4 + 2*i**3 + 269*i**2 - 42*i - 6127498 with respect to i.\nAnswer: 132*i**3 + 6*i**2 + 538*i - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**3\/3 + 1604*n**2\/3 - 6464*n\/3 + 2160 = 0.\nAnswer: -405, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 379640 and 384.\nAnswer: 18222720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1976.33412us?\nAnswer: 0.0000000228742375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(17)*2 - sqrt(17))*-4 + (sqrt(1700) + -1)*-6 + 4 + (sqrt(153) - (-2 + sqrt(153))) + -2 + 0)**2.\nAnswer: -1360*sqrt(17) + 78708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44490163.\nAnswer: 509, 87407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 4*q + 36, 4*q = 10*x - 14*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 = 4*v, v = -4*m - 2*v + 7. Let j be 1*(3 - (m - 3)). Suppose j*c + 3*o - 137 = 0, o + 0 - 4 = 0. Solve -8*u = -3*u - c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76 + 94 + 6)*(-3*t + 3*t + t).\nAnswer: 176*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g + 70*g**3 - 6*g + 3*g**4 - 2 + 31*g**3 - 2*g + 3 to p*g**3 + d*g + v*g**4 + r*g**2 + s and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1155 and 28710.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 4. Let y be j(-5). Let f be (-3 - 5\/(-45)*51)*1\/204. Is y < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, 164.5, 0.5, 1\/8, -29, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3 - 0. Let d be (14 + (-3 - w))\/2. Solve 4*y + 20 = 2*a, -y - 2*a = 1 - d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 3*z - 4*x, -3*z - 2*z - x = 25 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (12 - 14) + -10 + 24\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.04 + -0.04. Let l(t) = -t**3 + 9*t**2 - 14*t + 1. Let p be l(7). What is the second smallest value in p, s, 3, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = s, -3*s + 5 = -5*i + 4. Put -1, -2, 4, i in ascending order.\nAnswer: -2, -1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 17*z**3 + 1292*z**2 + 5791*z - 1760. Let b(i) = i**3 - 2*i**2 + i. Let m(p) = 6*b(p) - 2*r(p). Factor m(f).\nAnswer: -4*(f + 5)*(f + 88)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2149*r. Let i(x) = -14*x**2. Determine a(i(p)).\nAnswer: 30086*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 288934 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -272 from -24413.\nAnswer: -24141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -303, -847, -1757, -3027, -4651?\n\"Answer: g**3 - 189*g**2 + 16*g - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -417201145637 and -0.5?\nAnswer: 417201145636.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*z - 50*z - 25*z)*(0 - 2 - 1)*(2*z**3 - z**3 + z**3) to the form u*z**4 + q*z**3 + l*z**2 + s*z + v and give u.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 370*i - 3825. Let r be n(174). Solve 4*p = -8*d + r*d - 19, -p = -d - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 3:43 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 14. Suppose 4*d + w = 5*p, 6*d + 3*p = 3*d + 6. Suppose 8*g = 2*u + 3*g - d, 4*g - 4 = 0. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 1864 + 933 + 931.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 12*i**2 + 6*i**2 + i + 0*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, y: 12}. What is prob of picking 2 g and 2 y?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/304838748 and 13\/15?\nAnswer: 1524193740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 x, 1 s, and 1 i when four letters picked without replacement from ixsixtyr?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 - 1.06. What is the nearest to 1 in 2, o, -6\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23\/3 in -4, 4, -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 3:27 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-56)\/2*(-5)\/(-10). Does 30 divide 2 + 7\/(t\/(-176))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-5) - ((-2)\/(-10))\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -51755692 divided by -1\nAnswer: 51755692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -0.231 (c) 1\/4 (d) -2\/9 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 718948259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 23 - 21 = 0. Suppose 0 = -101*j + 210 - 109. Which is the biggest value? (a) j (b) -3\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1810025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*u = 22, 5*q + 4*u = 7 + 15. Solve 5*c - 5*s = -q*s, 0 = 3*c + 2*s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 2 = -2*w. Let m = 206 - 203. Suppose -y = m*o + 4*y - w, 3*y = -2*o + 12. What is the least common multiple of 11 and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4))**(-26)*(b\/(b\/((b*b*b**(-18)*b)\/b*b)))\/(b\/b**(-2\/3)) assuming b is positive.\nAnswer: b**(262\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -1. Let r be (-218)\/(-10) - k\/5. Suppose 0 = -2*u + 2, 11*f - 3*u + 113 = 12*f. Calculate the highest common divisor of r and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**2\/7 - 111730*w\/7 - 335199\/7 = 0.\nAnswer: -3, 111733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2\/5)\/((-10)\/125*-40).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4020, -16093, -36216, -64389, -100612, -144885?\n\"Answer: -4025*k**2 + 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1438 + -10067\/7. Let s = -6 + 5.5. Let w = s - -0.6. Which is the closest to 2\/3? (a) w (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -119? (a) -2\/7 (b) -1 (c) -4\/7 (d) 3 (e) -3 (f) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/((-1560)\/(-80)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-66)*(924\/(-11))\/(1*-2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-378)\/(-45))\/(266\/(-665))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 22 in descending order.\nAnswer: 22, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 74*d - 66. What is f(2)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 + 61. Suppose -86 = -2*z + b*c, 2*c + 77 = -2*z + 181. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-188)\/(-462)*(-3735)\/9960 + (1 - (-21)\/(-22))?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**5\/60 - a**4\/12 - 2*a**2. Let t(r) = 31*r + 3 + r**2 - 28*r + 0. Let q be t(-3). Calculate k(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s + 15 = 0. Let o be 4 - (2 - 0 - 1). Solve 2*r**4 - 2*r**2 + 0 - 10\/3*r**o + 8\/3*r**s + 2\/3*r = 0 for r.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqvqiqqqqqqvqvvq. What is prob of picking 1 v and 1 i?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/((-1)\/4). Let y(s) = s + 3. Let o be y(-2). Sort o, -5, k in descending order.\nAnswer: o, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 9. Suppose -2*m - 6 = 0, 0 = -46*b + 47*b - 2*m. Let g be (-4)\/b*3 - (-7)\/(-1). Determine s(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112.4 + -112. Which is the closest to 1\/2? (a) -1 (b) l (c) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 71302.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5955452 micrograms to milligrams.\nAnswer: 0.0005955452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5167 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-211263)\/(-6435) - 33) + 18\/(-135)\nAnswer: -10\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f1b + -4ab8?\nAnswer: -2b9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*-1286008\nAnswer: -180041.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2e3082 (base 16) to base 15\nAnswer: 3ebd9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/85 greater than 2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2593, -1228, 4093, 13370, 26603, 43792, 64937?\n\"Answer: 1978*t**2 - 4569*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 312*l**2 - 13115*l + 67. Give a(42).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(143) + sqrt(143) - sqrt(143))\/sqrt(11) + sqrt(117)\/sqrt(36) - 2*(sqrt(1872) - (sqrt(1872) + 1 + 5))**2.\nAnswer: -72 - 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**8\/56 + q**5\/6 + 2*q**2 + 22. Let s(n) be the second derivative of g(n). What is the third derivative of s(i) wrt i?\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**2 - 3*o + 3*o)*(4 - 1 - 5) - 2*o - o**2 + 2*o - 8 + 8 + 6*o**2 - o**2 + 3*o**2 + 0*o**2 to the form b*o**2 + g*o + v and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -5. Let a = 7 - 7. List the prime factors of 22\/6*(a - o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*(v\/v**(-9))\/v)*v*v*v**(1\/3)\/v*v**(3\/4)\/(v*v**(-2\/3)) assuming v is positive.\nAnswer: v**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -274 + 327. Suppose -60*h + 693 = -u*h. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 688 = 3*p, -3*g + 149 = -3*p - 265. Suppose 5*s + 48 - 83 = 0. Suppose -s*w + g = -6*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11329334 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: b\"What is the ath term of 867, 877, 901, 945, 1015, 1117?\n\"Answer: a**3 + a**2 + 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, f: 6}. What is prob of picking 1 f and 1 h?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(1907 + 31*k - 1907)*(k + 5*k - 3*k)*(-6 + 3 + 1) - k**2 + 0*k**2 + 3*k**2 + (-k + 3*k - 4*k)*(k - 5*k + 2*k).\nAnswer: 192*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -523*z - 1685*z + 59*z - 152579 for z.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 4319729?\nAnswer: 4319733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17301298 is divided by 2073?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/3)\/(-2)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/4 - 25017*y**2\/4 - 13035420*y + 13041675.\nAnswer: -3*(y - 1)*(y + 4170)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 5*l + 0*l - 1. Let m(y) = 5*y - 1. Let x be m(-1). What is the remainder when a(x) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 57?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*(sqrt(315)\/(sqrt(605) + (sqrt(605) + (sqrt(605) - (sqrt(605)*-3 + sqrt(605))) - sqrt(605)) + sqrt(605)) + 5))**2.\nAnswer: 6*sqrt(7)\/11 + 75688\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*r**3 + 4*r + 5*r - 104*r**3 - 8*r to u*r + v*r**3 + c*r**2 + l and give v.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1549 + 704. Let d = 2504\/3 + k. Let b = 13 - 22. Which is greater: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6641630 to the nearest integer?\nAnswer: 2577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 13*o - 1. Let y(b) = -b - 9. Let j be y(-8). Let i be d(j). Which is smaller: i or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/12147 and 2\/7.\nAnswer: 85029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a**3 + 3*a**3 - 64*a - 4*a**4 + 30*a + 1 + a**2 + 32*a as w*a + t*a**4 + o*a**2 + s + c*a**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5610898 days in hours?\nAnswer: 13.4661552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 3*n**2 - n - 3. Is 45 a factor of j(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j - 2989 - 2843 = 0. Let g = j - -255. Calculate the smallest common multiple of 15 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 6 = 5*v. Let w be (-1 + v)\/((-6)\/(-12)). Find the third derivative of -16*b**4 + w*b**6 - 2*b**6 - 7*b**2 + 16*b**4 wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 5:57 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r**2 + r + 4. Let m(q) = 7*q**2 + 2*q + 5. Determine -4*k(c) + 3*m(c).\nAnswer: -7*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1857726.\nAnswer: 2, 3, 13, 17, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -53\/2 (b) 12 (c) 8 (d) -5 (e) 5 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34\/3*(-18)\/(-12). Let y = -42 - -17. Let o = y - -25. Sort d, -0.3, o.\nAnswer: -0.3, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from vjcxjxcxjjjv?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -465 in -0.1, -4\/7, 50, 11, 1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/12*-8 - 3955\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*(i*i*i**20)\/i))\/i*i)\/i*i*i**(-3)*i*(i*((i*i**(2\/7)*i)\/i)\/i)**(1\/22) assuming i is positive.\nAnswer: i**(-3533\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 69384959.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 454602517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*s + q - 10, 3*q + 648 = -5*s + 2*q + 647 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1723257, 1723259, 1723261, 1723263?\nAnswer: 1723265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 59, 60, 61, 62, 63, 64?\n\"Answer: o + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**3 + 19255*u**2 - 4693960*u - 146636560 = 0.\nAnswer: -28, 292, 3587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6891830152?\nAnswer: 2, 861478769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 2*a**2 - 17*a + 10. Let c be r(5). Solve 5*w + c*w + n = 10, 2*w + 18 = 4*n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/h**(2\/7))**(-13)\/(((h\/(h\/((h\/(h**12\/h))\/h)))\/h)\/(h*(h**(-15)*h)\/h)) assuming h is positive.\nAnswer: h**(-261\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -8, j - 3*s + 6 = 26. Let h be 0*(-4 - -1)\/3. Solve -3*t + 1 + j = h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, s: 2, f: 5}. What is prob of picking 1 k and 1 f?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/2)\/(1\/2). Let h(p) = -29*p + 618. Let t be h(21). Solve 0 = -t*r + m*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(100 + (10 - 109))*-258.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i\/(i*i*i\/i**(-6)*i*i)*i))\/i*i*i*i\/(i**3\/i))\/(i**0)**(14\/11))\/((i*i**2*i)**(-34)*i\/(i**(4\/7)*i)*i\/i**(-3\/8)) assuming i is positive.\nAnswer: i**(8187\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -11 + 0*t + 0*t**2 + 1\/3*t**3. Let j(p) = -25*p. Determine j(x(d)).\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 26*b**2 - 69*b. Let h be q(23). Suppose -22*d + 30*d - 6888 = h. List the prime factors of d.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**4 + 630*j**2*q + 9*j**2 - 37597*j*q + 2*q wrt j.\nAnswer: 24*j**2 + 1260*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 4:32 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15761522?\nAnswer: 2, 7, 1125823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 1:23 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1956*g**4 + 22*g?\nAnswer: 23472*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9515\/483 + -138\/7. Let b = -131\/483 + i. Let p be (-15)\/4*(-8)\/12. What is the closest to b in p, -2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 + 89. Find f, given that 0 + 2\/11*f**3 + 2\/11*f**2 + s*f = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -18 (c) -0.12 (d) 0.5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.684 rounded to one decimal place?\nAnswer: -16.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/18*-3)\/(332\/747)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, y: 2, g: 4}. Give prob of picking 2 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -5, 212?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pihpishhphi. What is prob of sequence pps?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -355\/6. Find the common denominator of ((-106)\/(-16) + (-16)\/4)*(-748)\/(-297) and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18.4052 nanograms?\nAnswer: 0.0184052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 388 + 1349. Let y(r) = q*r + 1745*r - 3455*r. Let w(m) = -4*m. What is y(w(u))?\nAnswer: -108*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6288963 - 3804*j**2 - 6288963.\nAnswer: -3804*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 989 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5291 + 5354. Let c(r) = 9*r. Let w be c(3). Calculate the greatest common divisor of w and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/3)*m**(2\/9))\/((m*m**(-7)\/m*m)\/(m*m**(-5\/4)*m*m)) assuming m is positive.\nAnswer: m**(347\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 4436667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 4. Let q(a) = a**3 - 1. What is 4*q(l) + x(l)?\nAnswer: 4*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2287 and 0.2.\nAnswer: 457.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llklzllklzllllz. What is prob of sequence zl?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 18519*q + 38. Calculate i(0).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*i - 5. Let o(b) = 5*b**3 - 7*b**2 - 7*b + 15. Let v(x) = -2*x**3 + x**2 - 2. Let r(k) = o(k) + 2*v(k). Is 17 a factor of r(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1367*l - 2 - 213*l + 2.\nAnswer: -1580*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + 32. What is the common denominator of 21\/4 and -10*(-1)\/t + 99\/(-390)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 876 divided by -3?\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**7\/2520 - 7*m**6\/720 - m**5\/120 - m**4\/12 + 7*m**3\/6 - 110*m**2. Let s(f) be the second derivative of d(f). Give s(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14725 (base 12) to base 4\nAnswer: -13000031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-3)\/27)*760\/570?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11330433 is divided by 73574?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(243))**2 + sqrt(243) - (sqrt(3) + -1)*-5)*-6.\nAnswer: -1428 - 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34896, 34240, 33584, 32928?\n\"Answer: -656*s + 35552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7094 - 7082. What is the greatest common factor of c and 220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670584217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j - j + 2*j + (37 - 37 - 19*j)*(1 - 3 + 9) to z + x*j and give x.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 372912, 745799, 1118686, 1491573?\nAnswer: 1864460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -467482 + 209370. What is the units digit of 2\/(-8) + d\/(-256)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -2*g + 6428, -6440 = 2*g - 4*g - c. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -22765 in decreasing order.\nAnswer: 1, -1, -22765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 10. Let s = t + 0.1. Let q = 3.6 - -3.4. Which is the closest to 0? (a) q (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 3) to base 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*y = 621, 3*x + 471 = 3*y - 162. Is x less than -206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62202974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b - 6*b**3 + b + 5*b**3 - 3*b wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10590 is divided by 424.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178281?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 + 7*u**2 - 6*u + 1. Let y = 1867 - 1873. Let i(t) = -10*t - 8*t**3 + 20*t**2 + 3 + 2*t**3 - 7*t. What is y*i(o) + 17*z(o)?\nAnswer: 2*o**3 - o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -8*o - 13. Suppose 5*c = 3*l + c - 76, 4*c = -5*l + 148. What is the remainder when u(-12) is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 274*z**3 + 74*z - 11. Let b(c) = 55*c**3 + 14*c - 2. Give -22*b(j) + 4*d(j).\nAnswer: -114*j**3 - 12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1330880?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5411752?\nAnswer: 2, 676469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 253347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**4\/12 - z**2 - 6*z. Let f(s) = -42*s - 38*s - 12*s. Give y(f(u)).\nAnswer: 184*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 + 4*b + 16. Let o(g) = 5*g**2 + 5*g + 17. Let m(n) = 3*o(n) - 4*t(n). What is m(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -37\/5, -0.6, 2, -4, 3 in increasing order.\nAnswer: -37\/5, -4, -0.6, -1\/6, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 352693833 or 352693832?\nAnswer: 352693832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 7 = -h - 22, 5*g - 12 = -h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1767 - 1762. Let x(q) be the second derivative of 0 + 9\/100*q**p + 7\/10*q**3 - 3\/5*q**2 - 2\/5*q**4 + 8*q. Factor x(j).\nAnswer: 3*(j - 1)**2*(3*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + (sqrt(1216) - (sqrt(1216)*2 + sqrt(1216)))))**2 - -2*(sqrt(1216)*-3 + -2).\nAnswer: -304*sqrt(19) + 19468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 4)*(-642*l**2 + 2 + 5*l**3 + 6*l**3 + 641*l**2 + (-4*l + 4*l - l)*(-2*l**2 + 0*l + 0*l) + l**3 - 2*l**2 + 2*l**2).\nAnswer: 42*l**3 - 3*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 130*i - 268.\nAnswer: 2*(i - 67)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - -5*-2*sqrt(847))**2 + (sqrt(7) + sqrt(28) + -1)*-4.\nAnswer: -12*sqrt(7) + 68611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 44 = 302. Is s a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/9)*f*f\/(f*(f**(8\/3)*f)\/f))\/((f**(-2\/41)\/f)\/(f\/(f*f\/(f\/(f*f**1))))) assuming f is positive.\nAnswer: f**(-1007\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 1 (b) -2\/15 (c) -0.1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365*f - 232 + 52*f + 12*f.\nAnswer: -301*f - 232","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-196)*32340\/1260.\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -22. Let f be 100\/40*g\/1. Suppose -5*z + 59 = -r + 16, -4*r = f*z - 28. Is z <= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/4 (b) -8 (c) 1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/42 + (-40)\/140. What is the nearest to 0.02 in -3, -4, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*n + 13 = 2, 4*n - 14 = 5*f. Let i be 17\/f + 3\/6. Let v = i - -5. Which is the nearest to -2\/9? (a) v (b) 8 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385968 minus 0.2?\nAnswer: 1385967.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-66)*(-2)\/(-8)*22\/(-374)\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 280 - 307 = -4*y, -3*y - g = -29. Which is the third smallest value? (a) y (b) 0 (c) 0.1 (d) -1 (e) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (9\/3)\/((-3)\/(-173))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 + 6*c**2 - 7*c + 1. Let n be y(-5). Let i = -35 - n. List the prime factors of i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**5 + 15*f**4 + 17*f**2 - 3*f - 2. Let q(a) = a**4 + a**2 - 2*a - 1. Let y(c) = -m(c) + 2*q(c). What is the third derivative of y(h) wrt h?\nAnswer: -60*h**2 - 312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7229.\nAnswer: 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -9109 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 1:43 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 4:10 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -9, 437 in descending order.\nAnswer: 437, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10569 divided by 813\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - m + 10*l - 121 = 13*l - 37, 4*m - 5*l = 19 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fiii when four letters picked without replacement from {i: 5, h: 4, f: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -2*a**3\/3 + 3*a**2 + 8*a - 12. Factor n(s).\nAnswer: -2*(s - 4)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18889798 to the power of 1\/2, to the nearest integer?\nAnswer: 4346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200010102200010 (base 3) to base 14.\nAnswer: 13caa6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 46*u**2 - 92*u - 23. What is the hundreds digit of t(43)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*x = 880. Let g be x\/(-10) + (-1 - 1). Suppose 5*t - 49 - g = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2, 6, -1\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - 0.03. Let w = v + 0.38. Let q = -1978\/9 + 220. Which is the nearest to 1? (a) q (b) 1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1050 or 1199?\nAnswer: 1050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2588 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + 2*sqrt(405) + -4*(4 + -1*sqrt(5) - sqrt(5))*-6)**2.\nAnswer: -6000*sqrt(5) + 14500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 262*j**2 + 1043*j - 19. Give b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*t = 159, 253 - 7 = 3*b - 3*t. Suppose -5*k = -4*g - 137, 3*g + 41 = 3*k - 40. What is the greatest common factor of b and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 2:56 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-65)\/(-260))\/(-3 + 2). Let h be 51732\/(-176) + 2\/(-8). Let k = -294 - h. Which is the third biggest value? (a) k (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**4 - 1 - 2*d**4 + 0*d**4 + 110*d**2 + 2*d**4 + 0*d**4 - d**3 - 2*d as f*d**4 + v*d**2 + q*d + s*d**3 + w and give v.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uts when three letters picked without replacement from {u: 2, t: 2, s: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*x + 218, 0 = -4*t - 678*x + 676*x + 174. Solve -o = t*b - 41*b, o + 2 = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3 = 3*p + 2, 5*p + 27 = -i. Sort p, -10, -1, -3 in ascending order.\nAnswer: -10, p, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.706 + 5.706. What is the closest to -1\/4 in -0.1, u, -1, 24\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349434.\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 10 + -10 + -3\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 2*h - 8. Suppose 3*z + 40 = -2*z. Let s be q(z). Calculate the greatest common factor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 18. Let i be v(-9). Suppose -k = i + 9. Find the common denominator of k and 20\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2423*x - 4870*x - 7136*x - 1443*x + 6*x as c*x + g and give c.\nAnswer: -11020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36443 at least as big as 36445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42871, -42503, -42135, -41767, -41399?\nAnswer: -41031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 68*v - 144.\nAnswer: 2*(v - 36)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.7160632 and 1.94276?\nAnswer: 5.7733032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-4) + (-1411)\/1972. Let a = 59 + -59. Which is bigger: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67\/974 + 82427\/58440. What is the common denominator of -99\/50 and w?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -151 - -1813\/12. Let h(q) be the second derivative of 1\/6*q**3 + 0 + u*q**4 + 0*q**2 + 2*q. Find the second derivative of h(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 211 - 57 = 7*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3074\/(-38425)*(-20)\/6.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19 - 0)*(-3 - (-9 + 8)). Suppose -4*q - 2*z + 142 = z, 2*z = -q + y. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -173*b**5\/20 - 25*b**4\/6 + 10*b - 3. Find the third derivative of k(w) wrt w.\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w. Let b(x) = -3*x**2 + 3. Let a(m) = 6*m**2 - 7. Let o(s) = 3*a(s) + 7*b(s). Determine o(h(l)).\nAnswer: -147*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7176*q**4 - 8424 wrt q?\nAnswer: -28704*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 - 616?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000021895245 rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 139 + 117 = -4*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 10*z - 5. Let t be x(9). Let p(k) = -31*k + k**2 - 34*k + 61*k. Give p(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -48 (b) -0.3 (c) 4 (d) 1\/10 (e) 0 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 - 14*m - 3. Let y be 1\/(2 - 42\/20). Let n be t(y). Is (-927)\/n - (-4)\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 173870, 347741, 521612?\n\"Answer: 173871*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (729\/15)\/(-9)*(-50)\/(-30)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 492, 1, 1\/7, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 134299 and 110780.\nAnswer: 513022180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**5\/10 - 417*n**4\/16 - 11125*n**3\/6 - 53457*n**2\/8 - 10609*n\/2 + 1726. Solve h(j) = 0.\nAnswer: -103, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 3*i - 1. Let a(o) = -4*o**2 + 3*o + 9*o**2 - 7*o**2 - 2 - 11*o. What is -3*a(y) + 8*u(y)?\nAnswer: -2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/(l**(3\/7)*l))**5 assuming l is positive.\nAnswer: l**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 924 and 2094708?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 7*r + 4. Let v = -59263 - -59264. Let k(f) be the first derivative of -f**2\/2 + f - 1. Determine v*d(p) - 5*k(p).\nAnswer: p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12226, -24436, -36656, -48892, -61150?\nAnswer: -73436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*(-4 + sqrt(468)) + -5)**2 + -3 + sqrt(468) + (1 + sqrt(468))**2 + 4.\nAnswer: -1482*sqrt(13) + 12797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.88 + -0.084. Let s = z - 0.036. Which is the nearest to 4? (a) 3 (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/6)\/(1\/2)*(1196\/(-13))\/23.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = 10*a + 24*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3421, 3423, 3425, 3427, 3429?\n\"Answer: 2*f + 3419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71? (a) 0.4 (b) -2\/7 (c) 0 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2, 0.13, 1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*q + 4*v, 4*q = -2*v - 0*v + 10. Suppose 1319 = q*x + 127. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139918307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/10)\/y)\/(y*y**(-1\/3)))\/(y*y*(y*y**1*y)\/y)**(-2\/7) assuming y is positive.\nAnswer: y**(-131\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**5\/5 - c**4\/12 - c**3\/3 - c**2\/2 - 2*c. Let k be x(-1). Solve -18 = k*q + 4*i + 18, 4*q + i + 21 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 4, -2, -2018, -5\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 10*x**2 + 7*x**2 + 153*x**3 - 18*x**2.\nAnswer: 153*x**3 - x**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41\/1567 + 5274317\/7835. Let f = s - 676. Let z = f - -3. What is the common denominator of 11\/9 and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -16\/2896753?\nAnswer: -16\/2896753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 8 - ((-1 - -4) + 33\/(-5)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.714941437 - 236.285024363. Let s = -238 - o. What is s rounded to six dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13927 is divided by 253?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -342989 and -342987 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**6\/120 - t**5\/30 - t**4\/6 + 5*t**2. Let z(k) = -k**3 - 9*k**2 - 8*k + 4. Let w be z(-8). Give c(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3 = -2*i - 5, -10 = 5*o - 2*i. Let b be (-5)\/o*(-112)\/70. Let h be (-16)\/(-2) - 2 - b. Solve 6 = -4*l - h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 177710.67 months?\nAnswer: 14809.2225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*l - 10, 3*l = 5*j - 53 + 37. Let o(p) = 12*p**j - p - p**2 + 9*p**2 + p. Let h(f) = 12*f**2. Determine h(o(i)).\nAnswer: 4800*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 18*d**3 + 7*d**2 - 6*d + 6. Let q(k) = -17*k**3 - 7*k**2 + 5*k - 5. Let g(c) = 6*q(c) + 5*r(c). What is the third derivative of g(f) wrt f?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -465774, -465771, -465768?\nAnswer: -465765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 3*k + k)*(-10*k + 18*k + 20*k) to the form u + c*k + t*k**2 and give t.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 5:44 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 3 = z, -2*z = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100.931 - -0.831. Let h = -147 + 51. Let z = i - h. What is z rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 485263\/3 - 161750. Factor -10 - 1\/3*d**2 + j*d.\nAnswer: -(d - 10)*(d - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 91 = -2*p - p, -4*p + 98 = 2*j. Calculate the highest common factor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.335 + 3.735. Which is the closest to 2\/29? (a) -24 (b) u (c) -4\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3244 and -47711.\nAnswer: -50955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/25209 and -97\/5540378.\nAnswer: 49863402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1775641 (base 9) in base 13?\nAnswer: -28aab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 13618*b**2 - 544*b + 34. Let o(h) = 1238*h**2 - 48*h + 3. Determine -6*f(s) + 68*o(s).\nAnswer: 2476*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 9*j - 306 - 264 = -0*u + 9*u, -2*u + 18*j - 1124 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 11. Let m be (-208)\/6*12\/(-8). Let r = -363\/7 + m. Which is greater: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/6)\/((-6)\/(-16)). Let k = -10104\/5 - -2078. Let v = k + -57. What is the second biggest value in s, v, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.319 - 1387868.2397.\nAnswer: -1387865.9207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*g = -48491, -5*v + 2*g = -8*v + 72739. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/14403 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 657112, 657115, 657120, 657127?\nAnswer: 657136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -133*m**2 + 16. Let h(x) = -44*x**2 + 6. Give 8*h(z) - 3*k(z).\nAnswer: 47*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -265 (b) 1 (c) 198\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a*f**3*q - 8*a*f**3 - a*f**2 - 2*a*f + 65*a*q - 7*f**3*q - 60*f**2 wrt q.\nAnswer: -a*f**3 + 65*a - 7*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7*(2*(-243)\/126 - -3). Solve 20*n - s = 21*n + 5*b, 4*n - 4*b = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, k: 5, b: 1, z: 1}. Give prob of picking 1 z and 1 b.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d*h**3*x**2 + 22*d*h**3*x - 10*d*h**2*x + 25*d*h**2 - d*x**2 - 33*h**3*x**2 - 8 wrt h?\nAnswer: -6*d*x**2 + 132*d*x - 198*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 13665 = g, -50*g + 5*u + 41037 = -47*g. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1340 or -1338?\nAnswer: -1338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 1701061?\nAnswer: -1701056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -89988370 divided by -70690?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-18))\/(9\/(27\/(-6)))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u - 6*u + 2*u)*(-1 + 41*u + 39*u - 25*u) to c*u + q + a*u**2 and give a.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Let d be (1 + 3)*s\/1. Let c be 39\/12 + (-3)\/d. Solve 0 = -5*w + 2*n - 6, w = c*n - 3 - 9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9521763 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 309 + 129 = 0. Let f(u) = -11*u - 3. Let l be f(-3). What is the highest common factor of p and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 216 + -1510\/7. Let u = -10 - -10.5. Which is the closest to -1\/4? (a) r (b) 4 (c) u (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3 = -f + 2*v, 3 = -f - 3*v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b. Let x(h) = 9*h - 9. Let p(s) = 4*o(s) - x(s). Let r(j) = -j + 10. Determine 5*p(d) - 4*r(d).\nAnswer: -d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1271, -1280, -1289, -1298, -1307?\nAnswer: -1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 47*y**3 + 10 - 126*y**3.\nAnswer: -173*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 6:46 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1132230, 1132231, 1132220, 1132191, 1132138, 1132055, 1131936, 1131775?\n\"Answer: -h**3 + 8*h + 1132223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 33700936.87 to the nearest one thousand.\nAnswer: 33701000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/35 and -47\/1280.\nAnswer: 8960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 165 - 131 = 16*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*g - 23*g - 3 - 5 - 142*g**5 + 0 + 48*g**5 wrt g.\nAnswer: -1880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-319 + (-12)\/4). Let w = a - 297. Calculate the remainder when w is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4*l + 16, 3*b - 4*l + 8 = -2*l. Suppose -3*c - o + 4*o + 3 = 0, b = -2*c - 3*o - 18. Sort -2, 0, c.\nAnswer: c, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197744127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000530997 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 639154 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w - 3. Let d(x) = 144 - 71 + 2*x - x - 74. Let u(j) = 3*j + 12. Let k be u(-2). Calculate k*d(c) - 2*y(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*s + 14. Suppose -5*x + 70 = 5*m, 2*m - s*x + 2*x - 31 = 0. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 4:18 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13826 + 13826 + 12*x**2 - 18*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96311216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -11*k**2 - 40752*k. Let h(z) = 3*z. What is b(h(i))?\nAnswer: -99*i**2 - 122256*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 0 - 0) + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3328 - 3327. Which is bigger: m or 2\/481?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 3941439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 666, -982, 2, 5.\nAnswer: -982, -4, 2, 5, 666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10312\/24441 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(600)*4)\/sqrt(12) + sqrt(50)))\/((sqrt(120)\/sqrt(2))\/sqrt(6) - 1*sqrt(250)) + -2.\nAnswer: -2 + 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 + 2088*m\/5 + 2086\/5.\nAnswer: 2*(m + 1)*(m + 1043)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5201224 divided by -262\nAnswer: -19852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1479 - 1478. What is the fourth smallest value in -5, -13, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c - 4ad?\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 95.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - r + 28, 0*n = n + 4*r - 7. Calculate the greatest common factor of 14 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/161969 + 18303537\/84223880. What is the common denominator of x and 99\/40?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, p: 6, d: 5, h: 1, g: 1, n: 3}. What is prob of sequence nxn?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -3, 2, -10 in descending order.\nAnswer: 3, 2, -3, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621 is divided by 607.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 4. Solve 2*a**2 + k - a**3 - 3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34940.12 to the nearest ten.\nAnswer: -34940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 417186 and 3865708?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*c - 4410 = 0, 7*c = -3*f + 10*c + 13185. Suppose f = 4*h - 4326. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*(f**(6\/7)\/f)\/f))*f)**(-45)\/(f*f\/(((f\/(((f\/(f*f**(2\/7)))\/f)\/f))\/f)\/f)*f**(-4)))**(7\/5) assuming f is positive.\nAnswer: f**(-247\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2757711 divided by 11.\nAnswer: 250701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*q)*(1 + 11 - 7 + 2*q)*(3*q - 7*q - 8*q).\nAnswer: 48*q**3 + 120*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o**2 - 2 + 2)*(-o + o - o**2) + (3*o**3 + 2*o**3 - 4*o**3)*(-4 + 2*o + 4) in the form j*o**2 + v*o**4 + n + t*o + y*o**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 19*w**2 + 312*w + 416. Give b(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 2*z + 1. Let s be k(-2). Suppose y - 5 = -4*y. Let j be (y + 8)\/((-1)\/(-13)). What is the greatest common divisor of s and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2993841, -2993837, -2993833, -2993829, -2993825?\n\"Answer: 4*u - 2993845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 1:02 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/2*(-89)\/6. Suppose 86*y + 15 = q*y. Solve -2*k + 4*o - 6 = 0, -y*k - o - 3 - 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*l**3 - 3214*l**2 + 221005.\nAnswer: 51*l**2 - 6428*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 98 = 2*y, -r = y + r + 69. Let n = y - -63. Let f = -179 - -194. Calculate the remainder when f is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-167)\/(-5) + 4\/(-10). Suppose 16*t = s + 15*t + 3, -4*s + 5*t = 9. Does 18 divide (0 - f)*4\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 5. Let b be i(0). Solve -b*h + 7 - 22 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3.3959\nAnswer: 2.3959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12991482 divided by 54\nAnswer: 240583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((123\/32)\/(24\/32))\/(((-14)\/112)\/(-1))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 6:06 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -1*0\/1. Let b(m) = -643*m + 16. Let w(u) = 124*u - 3. Let q(y) = -2*b(y) - 11*w(y). What is the tens digit of q(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 10\/17*u + 2\/17 + 8\/17*u**2 = 0. What is u?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48e4 (base 15) to base 14\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 14 - 26. Suppose g*o = -24 + 96. Solve -2*z = z - o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 + -3a7?\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-6) - 2660\/(-120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 238*d**3 - 2*d**2 + d + 2. Calculate w(-1).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6537 is divided by 382.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42807 and 1444.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**3 - 838*h**2 - 8319*h + 5378. Give g(-269).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -304*z + 912. Let f be o(3). Is f less than -23\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 92 - 302. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 89*z - 101*z + 24. Solve 6*i + 8 = z*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -11 (c) 5 (d) 48771\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5552*m + 464334.\nAnswer: 5552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s*v**3 + 3*s*v**2 - 7*s*v - s - 1020*v**3 + v**2 + 158778 wrt v.\nAnswer: 18*s*v + 6*s - 6120*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1104 is divided by 224.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 18082488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**4\/12 - g**3\/6 + 2*g**2 - 2*g. Is l(9) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*k**3 - 22*k**2 - 484*k - 10648\/3 = 0 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/2 + -2 + 85.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -18 - 64 - 12?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 69541, 139084, 208627, 278170, 347713, 417256?\n\"Answer: 69543*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-57*12*(-11)\/4488*-34?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/1)\/(-26 - (23 - 6888\/144)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1)\/(-3876 - -4033).\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -7.25?\nAnswer: 12.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*h - 35 = 0, 3*j = -2*h + 7 + 2. Suppose -3*n - 172 = -j*n. Suppose -a = -12 - n. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9275 is divided by 4359.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1539) + -1 + sqrt(1539) + 3)*-1)**2 - (sqrt(1216)*-1*-6 - ((-2 + sqrt(1216) + sqrt(1216))**2 + 2)).\nAnswer: 536*sqrt(19) + 60310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 112*x**2 + 457*x - 153. Is 40 a factor of y(-116)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1 + 2 + 2*u**2 + 3*u**2 + 7*u**2. Is k(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297\/(-132)*600\/(-270)*63\/(-5).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -20. Let j(p) = -p**2 - p + 1. Let r(x) = -3*x**2 - 3*x + 4. Determine g*r(d) - 2*j(d).\nAnswer: -d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 8:15 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -9*i**2\/2 + 3. Does 11 divide l(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*c + 3. What is the second derivative of 0*z**3 + 2*z**5 + 2*z - z**3 + z**c wrt z?\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r + 398. Let b(h) = 47*h**2. Determine l(b(d)).\nAnswer: 235*d**2 + 398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -6)*12\/(-15). Let i be ((-6)\/(-14) - 1) + 9 + (-28)\/(-49). Solve 0 = -q*y + y + i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -490 - 43. Let h = g - -797. Does 33 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**3*o*o*o*o\/(((o*o**(-5\/2))\/o)\/o)*o**(2\/31)\/o*(o*o\/(((o*o**(6\/11)*o)\/o)\/o))\/o)**(-50))**(-1\/26) assuming o is positive.\nAnswer: o**(204925\/8866)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 5*s - 9 - 20, -s - 1 = 0. Let u be (9\/j)\/((-6)\/(-8)). Find the second derivative of 3*y**2 - 4*y - 6*y**u - y + 4*y wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 11*p - 1160.\nAnswer: (p - 29)*(p + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 1.07, 21, 0, -78?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 21223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14757, 29510, 44259, 59004, 73745, 88482?\n\"Answer: -2*l**2 + 14759*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363 is divided by 1270?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v - 7. What is the tens digit of k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1569 divided by 1?\nAnswer: -1569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 7*d + 14. What is y(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 11, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133756, -267513, -401268, -535021, -668772, -802521, -936268?\nAnswer: -1070013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539202?\nAnswer: 2, 3, 89867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 5*g - 10 = 0, -2*j - 4*g + 74816 - 74814 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 9 = -0*p, -3*r = 2*p - 18. Let l be (-1 - 0)\/(r\/620). Let f = -93 - l. Calculate the remainder when f is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2946, 5895, 8844, 11793?\n\"Answer: 2949*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/45, -2\/9, -7?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 5. Let c be t - 3 - (3 - 2). Let w = c + 9. Solve 2*a - w = 1, 4*o = -5*a - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*k - 18, 30 = 5*d - 6*k + k. Let q be d\/(-20) + (-3)\/(-18)*3. Factor q*y**2 + 2\/5 - 4\/5*y.\nAnswer: 2*(y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138941719 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than -549257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 g when three letters picked without replacement from {s: 1, w: 2, h: 1, g: 10}?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**3 - 8*z**3 - 17*z**3 + 279*z**2 + 56*z**3 - 8*z**3 - 16*z**3.\nAnswer: -z**3 + 279*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 15 = 2*f, 3 = -3*f - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 188 + -188. Which is the closest to k? (a) 4 (b) -7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -588 + 192. Let z = -390 - m. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 7 + 0*a - 25 + 10 + 16. What is c(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1291 bigger than -1292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/7 - 216\/(-56). Let k be (-24)\/28*2\/y. What is the fourth smallest value in -1\/4, k, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/11, -0.5, 0.4 in ascending order.\nAnswer: -0.5, -5\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmb when three letters picked without replacement from {b: 7, z: 9, m: 2}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23374, -23363, -23346, -23323?\n\"Answer: 3*n**2 + 2*n - 23379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 30*s. Let l(j) = -4*j**2 + 10*j - 12759. Determine l(t(b)).\nAnswer: -3600*b**2 + 300*b - 12759","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9965*r**3 - r**2 - 9 - 381 - r + 9965*r**3 + 2004*r**5 + 19 wrt r?\nAnswer: 120240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 10801159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -1.1, 0, -0.1, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1020*p + 1. Let u be s(-2). Let v be 6\/(-5)*49000\/42. Let i = v + u. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19606.78 to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2205\/49*(-9)\/45)\/((-5)\/((-650)\/(-15)))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2356 is divided by 235?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 0*c + 92. Suppose -5*w + 5*i - c = -3, -4*w + 4 = i. Suppose -x + 5 = -2*o - 0, -4*x + 4*o + 32 = w. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 - 15*f**2 - 7*f - 10. Let m be p(8). Sort -2\/11, m, -5, -4\/11, -0.3 in descending order.\nAnswer: -2\/11, -0.3, -4\/11, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**5 - 69*o**3 + 198*o**2 - 204*o + 72 = 0. Calculate o.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*r + 56 = -133. Solve r*i - 1 = -c - 3, 4*c = i - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 divided by 123.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*w - 310 - 1898 = 6*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -0.3, 0.4, -0.06, -3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 6:30 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - 32 = 3*s + 2 + 25, -23 = 3*s + 2*i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-48)\/(-18)*18\/4. Suppose -3*o - u = -3*p, -3*p + 0*o + 5*o + 20 = 0. Suppose p*z = -4*z + 12. Solve 10 = 2*q + z*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 6. Suppose 5*s = -2*a - 293, 0 = -0*a + u*a - 4*s + 320. Let g = a - -1080\/7. What is the closest to 0 in g, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41217201 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -z + 21, -2*z + 55 = -2*x + 73. Let a(c) = -c + 1. Let q(r) = 15*r + 10. Give x*a(t) - q(t).\nAnswer: -25*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*a**3 + 36*a**3 - 80*a**3 + (1 + 3 - 5)*(2*a**3 + 2*a**3 - 6*a**3) + 10*a**3 + 13*a**3 + 13*a**3.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -2122012111313?\nAnswer: -2122012111310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*o**2 - 711 + 12*o**4 - 8*o - 32*o**3 + 711 = 0. Calculate o.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -34. Let v = c - 6. What is the remainder when 31 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/5 in 2\/9, 6, 2\/5, -2\/9, 0.8586?\nAnswer: 0.8586","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/176 and 71\/93024.\nAnswer: 1023264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 570.2657ml to litres.\nAnswer: 0.5702657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 2. Suppose -30 = -5*f + 5. Let i(r) = -r**2 + 7*r - 2. Let n be i(f). Let z be c(n). Let b(u) = u**3 - 4*u**2 - u + 4. What is b(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 2*y + 2*y + (-1 + 1 + 2)*(y - 4*y + 4*y))*(-35*y + 146*y + 10*y) to j*y**2 + q + h*y and give j.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39960 - 18317. List the prime factors of c.\nAnswer: 23, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5 = 4*j, 0 = -2*j + 4*s - 2 + 10. Let c be (-23)\/j*-16*-1. Suppose c = 2*f + 2*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 0 + 0)*(0*z + 2*z - 3*z) + 2*z - 2*z - 5*z + 32 - 9*z - 32 + 2*z + 3 - 3)*(-5*z**2 + 4*z**2 + 0*z**2) to g*z**3 + t*z**2 + x*z + h and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 33*c**2 - 4*c + 3. Let l be r(1). Let j = l - -116. Calculate the highest common factor of j and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 33*b - 43. Determine s(33).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -801*s - 790*s + 44 = -1580*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35962*b**4 - 10297*b.\nAnswer: 431544*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*i**3*v**2 + 54*c**3*i**2 - 81*c**3 - 483*c**2*i**3*v**2 + 4*c**2*i**3 + 2*c**2*i*v**2 wrt c.\nAnswer: 6*i**3*v**2 + 324*i**2 - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (3 + 0)) + 1. Let p = -39908\/471 - -10\/157. Let g = 84 + p. Which is smaller: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.2, -1\/7, 73?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2460.768 kilograms?\nAnswer: 2460768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -360*q**2 - 46*q - 363*q**2 + 728*q**2 - 44. Let j be u(10). Which is smaller: 29 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*m**2 - 549*m**2 + 321*m**2 - 3 + 6 - 3.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -c224 (base 15) to base 8\nAnswer: -120030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11408673 = 90*b - 11400213 for b.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 2*i - 10. Suppose i*z = 2*z + 57. Suppose -3*p - z = 5*n, 0 = -4*p - 2*n - 0*n - 2. Solve 0 = -5*s + p*s + 4*f - 29, -4*f = -20 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -20*z. Let r(f) be the first derivative of f**2\/2 + 16. What is k(r(o))?\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -123781701, -123781699, -123781695, -123781689?\n\"Answer: a**2 - a - 123781701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -107 (b) 4 (c) 11 (d) 3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(2*-1) - -4. Let u(d) = d**2 - 18*d + 213. Let s be u(21). Suppose j*p = 9*p - s. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.24 (b) 1\/5 (c) 2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from {j: 4, q: 6, g: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 24*n + 50. Let b be l(-2). Suppose 8*p - s + 16474 = 13*p, 0 = -b*p - 3*s + 6587. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102711.\nAnswer: 3, 7, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10 = -4*a, -6*q = -3*q - a + 11. Let n(r) = -r**2 + 3*r. Let i be n(4). List the prime factors of 0 + q*1 - i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 418.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 349 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -9*h + 11. Let w(b) = -4*b + 5. Let x be 1 + 0 + 16 + -14. Give x*t(m) - 7*w(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -731*u**2 + 45*u**2 + 195*u**2 + 49*u**2 - 81*u**2.\nAnswer: -523*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 g when two letters picked without replacement from ajwwcggwjababg.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62632*b**3 - 31900*b**3 - 30745*b**3.\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 497665 and 28704305.\nAnswer: 8435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 10:16 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86325087*j**4 - 3*j + 6920381.\nAnswer: -1035901044*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 5. Let p(v) = -v + 15. Is 7 a factor of p(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 831 + -831.766. Let v = -0.7 - o. Let j = v + -0.036. What is j rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -167 - -185. What is the remainder when 586 is divided by (12 - x)*(-3 - 10\/6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 12, -6, -1, 4 in decreasing order.\nAnswer: 12, 4, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 6*m**2 + 5*m - 3. Let a be k(-5). Let l(r) = -r**3 + 4*r**2 - 3*r + 2. What is the least common multiple of l(3) and (-1)\/a - (-5)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 0*b**6 - 7*b + 0*b**5 - 13\/3*b**3 - 15*b**7 + 0*b**4 + 0*b**2 - 133. Find the third derivative of w(y) wrt y.\nAnswer: -12600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 195550 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z = -2. Suppose -5*b - 3*u + 3 = -3, 0 = -2*b - z*u. Let h(o) = o - 5*o + 6*o. What is h(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 19, 4, -56, 2, -8, -2 in increasing order.\nAnswer: -56, -8, -4, -2, 2, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -9*b**3 - 6*b**2 + 237*b - 573. Let s(u) = 2*u**3 - 2*u**2 + u - 1. Let a(f) = -d(f) - 3*s(f). Solve a(n) = 0.\nAnswer: -12, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**6\/40 - 57*b**5\/40 - 15*b**4\/2 - 61*b**3\/4 - 123*b**2\/8 - 3248*b. Factor l(z).\nAnswer: 3*(z - 41)*(z + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 - 48*y - y**2 + 2 - y**4 + 0*y**4 + 48*y in the form k + t*y**3 + a*y**4 + f*y**2 + z*y and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -11836*g**2 - 1247*g**2 - 8554*g**2 - 447*g**2 + 2504*g**2 as m*g**2 + x*g + j and give m.\nAnswer: -19580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13064999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -162287*b**2 + 19013*b + 2.\nAnswer: -324574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*a - 8 = -203*a + 406*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -4. Let h = r + 29. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 273.61 * -0.4.\nAnswer: -109.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 839, 840, 841, 842, 843?\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**5\/20 - 3*s**4\/8 - 13*s**3\/12 - 3*s**2\/2 - s - 946. Factor k(u).\nAnswer: -(u + 1)**2*(u + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and (-15)\/(-6)*(5 + -1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 19459242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 32 - 35. Let k be (-1 - c\/6*0) + 8. Let w(v) = v - 12. Determine w(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10265, -10647, -11269, -12131, -13233, -14575, -16157?\nAnswer: -17979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5876497*u - 8391. Let v(m) = 8407*m - 12. Determine 12*s(g) - 8391*v(g).\nAnswer: -25173*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130229.\nAnswer: 11, 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*m + 220*m - 122 + 3788. What is the second biggest value in 26, -1\/3, -2, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 744 and 119226.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47848 or -47839?\nAnswer: -47848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 - 920*k - 95039. Determine a(-301).\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 1:35 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6789141080 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d - 31*d - 22*d)*(0 + 2 + 0 + (-1 - 1 + 4)*(-1 + 0 + 2)) to the form x + q*d and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 90 = -290. What is u rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 - y**2 - 8*y**2 + 8*y**2 + 15*y**2 - 22*y**2 + (1 - 2*y - 1)*(4*y - 5*y - y) as q + d*y**2 + t*y and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524174145 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o - o - o)*(-15 - 43 - 5) as k + i*o and give i.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 235459 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/526, -4.78, -0.5, -0.2, 8 in decreasing order.\nAnswer: 8, 3\/526, -0.2, -0.5, -4.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 23*x - 110. Calculate the remainder when 515 is divided by v(8).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 919*j**4 - 3*j**2 - j - 102 wrt j?\nAnswer: 22056*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4818?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 444028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 14, i: 4}. What is prob of picking 2 i and 1 b?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22702 is divided by 398.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/(-168) + (-4)\/(-14) - (-19662)\/(-1044)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5655 + -2096. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000043048247 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000707572368 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 10:34 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 7, -0.4, 10, 560, 0, -4, 3\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*k = -q + 30, 2*k = 2*q - 20. Find the second derivative of -3*n**5 + 4*n - 8*n - 2*n**q + 6*n wrt n.\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 952534967?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/19, 2, -1\/3, -6 in decreasing order.\nAnswer: 2, 2\/19, -1\/3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 6)*(0 + 0 + 2*i) + (-i - 3*i + 2*i + i - 8*i - 3*i + (i + 2*i - 2*i)*(-2 - 4 + 4) + 0 - i + 0)*(-2 + 0 - 1).\nAnswer: 71*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*v = -1346, -2*s = 2*s + 2*v - 1824. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 3, -1\/4, 18, 47, -0.2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/(-160) + -1*(1 + 0).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3724 less than or equal to 3726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 40 = 4*z - 87, -5*z + 4*r + 120 = 0. Let w be 60\/(-14) + 8\/z. Are -5 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6499661 divided by 928523.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2*q = -2*f - 8, -4*f - 5*q = 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 12) in base 6?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*b + 62 = 0, 16*h - 13*h + 2*b - 42 = 0. Solve 0 = r - g - 5, 2*r - h = -2*g - g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 9*x**2 + 4*x + 10. Let b be d(10). Let p = b + 73. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06271984378 rounded to 5 dps?\nAnswer: -0.06272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -40*p - 154. Give y(-29).\nAnswer: 1006","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 771a?\nAnswer: 7721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 257759 divided by 12\nAnswer: 257759\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 + k**2 + 6*k**3 - 23*k**4 - 3 + 2 - 31*k**4 + 56*k**4 to u*k**4 + w*k + b*k**2 + v + j*k**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**16))\/(q\/q**10)*(q**(-4)*q*q)**48)**46 assuming q is positive.\nAnswer: q**(-3266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 390\/54 - 3 - 4\/18. Let h = -46 + 78. Calculate the highest common divisor of h and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-30))\/((-3)\/36*-2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gww when three letters picked without replacement from {r: 1, t: 1, g: 1, w: 2, k: 1, c: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 1:05 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3199\/4 + 787. Let s be 606 - -2 - (-1 + 0). Let l = -5459\/9 + s. Find the common denominator of l and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-22))\/(2 + -1). Let f = 11.8 - 12. Which is the second smallest value? (a) 1 (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Let u(i) = 5856*i**2. Determine h(u(l)).\nAnswer: -5856*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 18, f: 2}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 0*k - 4*f, -3*k - 2*f = 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 164 + 276. Let i be (-2)\/((-64)\/q + (-2)\/(-11)). Suppose -i*x + 172 - 52 = 0. What is the highest common divisor of x and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 223213, -3, 0, -15 in increasing order.\nAnswer: -15, -3, 0, 223213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2576 = -39*x + 55*x. List the prime factors of x.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -500, -753, -876, -827, -564, -45?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**3 + 2 - 4*u**3 + 2*u**3 + (-29*u**3 + 6*u - 6*u)*(1 - 3 + 1) to f*u + a*u**2 + x*u**3 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.44 + -0.44. Let j be -1 - ((-5)\/4 - 0). Which is the nearest to j? (a) -1 (b) 2\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 + w**2 - 4*w**2. Let a(b) = 2*b**2 - 5*b - 5. Let m(l) = -l**2 + l + 1. Let f(u) = -a(u) - 5*m(u). Give f(t(j)).\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 2*c - 20, -5*h = -7*c + 2*c - 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 9:42 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53342 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y*y*y*y**(-10)*y)\/y)\/(y*y*y\/(y\/y**(1\/5))))\/(y**2)**(22\/7) assuming y is positive.\nAnswer: y**(-472\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/8 and -59\/256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38727.\nAnswer: 3, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2604*g**5 + 57296*g**4 + 315260*g**3 + 968*g**2 = 0.\nAnswer: -11, -2\/651, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 9:06 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -11*w**3 + 6*w**2 - 1162*w - 4677. Determine v(-4).\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/19, 0.03, 5954, -2\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-6)*2\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/1 + 59148\/31?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105*b**3*n**5 + 2*b**3 - 315*b**2*n wrt n.\nAnswer: -2100*b**3*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by 12\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344475445.\nAnswer: 5, 569, 121081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6907481.\nAnswer: 7, 29, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 19. Solve 6 = -n + 2*b + k*b, 2*n = 3*b - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 + 73.4. Put p, -2\/9, -0.4, -1\/10 in descending order.\nAnswer: p, -1\/10, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*z = -190, 5*z - 67 = 3*r - 272. Suppose -f = 2*i - 15, r = 4*f - 3*i + 2*i. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186a8 (base 16) in base 14?\nAnswer: 28636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 6:50 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47*s**4 - s**3 - 162 wrt s?\nAnswer: -188*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)*4 - sqrt(250))\/(5*4*sqrt(2)).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3662 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -219 + 224. Suppose 4*p + 2*h - 22 = 0, 3*p - 6 = -3*h + 15. Sort p, z, -5 in descending order.\nAnswer: z, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Suppose -24*t + 27*t - 405 = l. Let g = t + -122. Calculate the remainder when 205 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 5 = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-212)\/2*(-13)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 417 = 3*u - u, 4*u = 5*n - 419. List the prime factors of n.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.374 + 0.248. Let i = -0.125967 - o. What is i rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102.928 + 107.2. Let q = -22.082 + l. Let j = q - -15.6. What is j rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*n + 35*n + 146*n - 1242 = 0 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1686 - 3?\nAnswer: -1700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18 - 96658.\nAnswer: -96658.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2243*l + 2*l**2 + 0*l**2 + 0*l**2.\nAnswer: 2*l**2 - 2243*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2289*t + 1618. Is g(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v + 330 = 38*v - 55. Let a(i) be the first derivative of -7\/4*i**4 + 7\/2*i**2 + i**v - i**3 - 2*i + 6. Determine x, given that a(x) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -583 = 4*g - 47. Let c be 120\/(5 + 674\/g). Round c to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 231.1328um?\nAnswer: 0.2311328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p + 34*p + 168 = 0. What is the remainder when 165 is divided by p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from {k: 1, n: 3, m: 1, l: 1, v: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjbrcpprpp. Give prob of sequence pjr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -315c9?\nAnswer: 315c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*w - 15 = 0. Let b = -114 - -453\/4. Suppose -z - 3*p = 3*z - 12, 0 = -p. What is the third smallest value in z, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.59423 rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -465161, -930291, -1395421?\nAnswer: -1860551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**7\/210 - 13*x**6\/480 + x**5\/240 + 13*x**4\/96 + x**3\/8 - 891*x**2. Let z(p) = 0. What is p?\nAnswer: -3, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 + -157. Let g = 611 - x. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/16 and 29\/29136?\nAnswer: 29136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 15*h = 14*h + 917, 2*h = -5*d + 1529. Let j = d - 242. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.719 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -775*x + 25572. Give m(33).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1104 and -1.\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 5, 167 in descending order.\nAnswer: 167, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.89 + -19.59. Sort -69, 7.6, t in descending order.\nAnswer: 7.6, t, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - 4*t**2 + 4*t**2)*(283 + 32 - 47).\nAnswer: -536*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-16 + 5))\/(-1*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 55\/4 of a tonne?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*l**4*y - 183*l**2*y**2 + l*y**2 + 1025*l - 3*y + 1 wrt l.\nAnswer: 72*l**2*y - 366*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.2 + -4. Let g = -0.7 + -4.3. Sort g, 2\/3, q in increasing order.\nAnswer: g, q, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 411*-1 + (-56)\/14. Let l = -235 - j. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -868*0.4\nAnswer: -347.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1156788 is divided by 821.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**2 + 2*r - 4. Let y = 12 - 19. Let p(l) = 9*l**2 + 3*l - 7. Let g(d) = 2*d**2 + 2*d + 4. Let u be g(-1). Calculate u*p(f) + y*z(f).\nAnswer: f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/1541? (a) 1\/7 (b) 149 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433036 is divided by 82.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9134 rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**7\/50 - 107*n**6\/200 - 111*n**5\/20 - 205*n**4\/8 - 25*n**3 - 34*n**2. Let a(f) = 0. What is f?\nAnswer: -5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/15 of a day?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/3)\/(9\/(-27)). Let z(u) = 10*u + 1. Let y be z(s). Let n(t) = -t**3 - 19*t**2 - 2*t + 18. Calculate the remainder when n(y) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -563?\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7696, 61388, 207120, 490912, 958784, 1656756?\n\"Answer: 7670*o**3 + 2*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879679533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -31470 + 277966. Suppose -414*d = -418*d + k. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddddxxdxxddxdddddddd.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1615944\/5 + 715998931301\/2215420. Let v = 2438291267\/6646260 - s. Let d = 367 - v. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 4439358?\nAnswer: 39954222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 < -230\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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: List the prime factors of 960636471.\nAnswer: 3, 320212157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l + 11*l + 9*l + 2 - 2*l**4 - l**3 - 34*l + 0*l**3 as i*l**2 + p*l**3 + n*l**4 + z*l + h and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1070*y**3 - 1 + 2138*y**3 + 592*y**2 + y + 2031*y**2 - 1066*y**3 to the form x*y**2 + u + i*y + r*y**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*t = 18616 - 5512 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 6 + -7 - 5 - 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9013.983 micrometers in meters?\nAnswer: 0.009013983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -16 + 12 + (-42)\/(-2). Suppose 0 = -5*t + 2*c - 76, -c = -5 + 2. Let l(o) = 2*o + 30. Let w be l(t). Solve w*q + 4 = -h, 0*h - 3*q - p = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, q: 1, b: 3}. What is prob of sequence qbb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 88750 and 88743 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112308794 + -0.06.\nAnswer: 112308793.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001091845 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 907872?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/318390 and 113\/2356086.\nAnswer: 11780430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**4 - 280*n**3\/3 - 882*n**2 + 4210. Factor i(m).\nAnswer: -4*m*(m + 7)*(m + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1417*c*v**3 + 732*c + v**2 wrt v.\nAnswer: 8502*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4652074 divided by 3.\nAnswer: -4652074\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/2 + 115*r\/12 + 19\/12 = 0 for r.\nAnswer: -19, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v**3\/v*v)\/v)*(v\/(v*v*v**2\/v*v)*v)\/v*((v*v\/v**25)\/v*v*v)\/(v\/v**(6\/11)) assuming v is positive.\nAnswer: v**(-291\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131102012 + 1202202?\nAnswer: 132310220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -109618? (a) -0.4 (b) 3 (c) 2 (d) -1\/7 (e) -0.1 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -870.2 - -121.2. Let m = 754 + s. Which is the second smallest value? (a) -0.006 (b) m (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7 + 4\/7*j**3 + 4\/7*j**2 - 4\/7*j.\nAnswer: 4*(j - 1)*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from aeaaseea?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59916750?\nAnswer: 2, 3, 5, 79889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -100*y + 98*y - 7 + 3. Let q(l) = 4*l + 8. Let j(w) = 7*a(w) + 3*q(w). Determine j(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350865 and 8487?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 0 - 14\/3*z**3 + 22*z**2 + 0*z + 5\/12*z**4. What is the tens digit of k(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 2. Let y be r(2). Suppose b + 3*b + q - 13 = 0, -5*q + 27 = b. Find the third derivative of f**y + 2*f**2 + 4*f**2 - 4*f**b wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t - t - 3*t**2 + 0*t**2. Let j(x) be the first derivative of -x**3 + 3*x**2\/2 - 567. Determine -3*b(w) + 2*j(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/3 - 8*a**3\/3 - 2*a**2\/3 + 8*a\/3.\nAnswer: 2*a*(a - 4)*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.018 and -1?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 43242 = 5*w, 4 = 422*w - 423*w. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 3:17 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87501 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fssfffsssffsbssff. What is prob of picking 2 f and 1 b?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((50\/(-42))\/((-13)\/((-2340)\/(-150))))\/((-3)\/105)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by ((-26)\/8)\/(5\/(-20)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1146 + -1144. Suppose 0 = 5*r - 2*a + 54, -3*r + a - 52 = 2*r. Let x be (18 + -3)*(y - (-16)\/r). Solve 5*l = -14 - x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-20)*3450\/368)\/((-2)\/(-8)). Which is the third smallest value? (a) -0.1 (b) s (c) -0.5 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14426 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 20*v**2 - 18*v - 15. Let i be c(19). Suppose 0 = 3*y + 15, -x + i*y + 37 - 13 = 0. What is the least common multiple of x and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/8, 0.2, 2\/9 in increasing order.\nAnswer: -4, -1\/8, 0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -371270 and -0.34.\nAnswer: -371270.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.95 * 27.\nAnswer: -52.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 7*b**2 - 4*b + 1. Let m be n(6). Let h(g) = -162*g - 311. Let w be h(-2). Calculate the greatest common factor of w and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133 + 127. Is 35 a factor of (o - -15 - 16)*(1 - 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 1. Let k be h(4). Let w = k - 1. Suppose -t - 23 = 2*y - 6*t, 27 = w*y + 5*t. Is 0 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -5. Let w(h) = 102*h - 2*h**2 - 97*h + 3*h**2 + 5. Determine w(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -923621449 - 47*a**2 + 923621449.\nAnswer: -47*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4641*j + 5406 with respect to j.\nAnswer: -4641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 0*o + 8. Let s(q) = q - q - o*q. Let w(g) be the second derivative of 2*g**3\/3 - g. What is s(w(a))?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47043 is divided by 46973.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 + 4) - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -195 + 205 - (1 + -11).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34371?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*a + 12 - 62 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.502229 to 1 dp.\nAnswer: 17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*s**2 + 6*s**2 + 8*s**2)*(-3*s + s + s)*(-1 + 1 + s) in the form d*s**4 + n*s**3 + v*s**2 + u*s + t and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -48*w**3 + 3*w**2 + 7*w + 85. Let m be f(-6). Let d = -62971\/6 + m. Find the common denominator of 19\/24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/12 - 7\/(-3). Let w be -3*4\/s*1. Is 6 a factor of (-1)\/w - 201\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v**4 + 11410*v**3 - 1417196*v**2 + 1621760*v - 216000 = 0. Calculate v.\nAnswer: -540, 2\/13, 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 940, -4, -2 in decreasing order.\nAnswer: 940, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5)*d)**(9\/5)\/(d\/((d*d\/(d**(1\/2)*d))\/d)*d**(5\/3)) assuming d is positive.\nAnswer: d**(-313\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + sqrt(208)*2 + (sqrt(208) + -1 + sqrt(208))*-4 + -3*1*(1 + sqrt(1573) + sqrt(1573))**2.\nAnswer: -18871 - 156*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*l**2 - 186*l**2 + 215*l**2 + 0 + 211*l**2 + 0 - 446*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5259623 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 418\/95 + -2 + (-8)\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b - 7. Let l = -9 - -20. What are the prime factors of a(l)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*t - 29*t - 29*t - 58*t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -15.7. Let a = 22.5 + p. What is a rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-34)\/(-4 - (-8)\/4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1679 + 1678.679. What is t rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139463*p**3*w - 948*p**3 - 14*p*w + 2*p + 2*w - 4223 wrt w.\nAnswer: -139463*p**3 - 14*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-4 + 2)) + -58 + 43\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 2*d**2 + d + 1. Let t(h) = -2*h**3 + 15*h**2 + 6*h - 34. Let o(s) = -3*r(s) + t(s). Let b be o(-8). Factor 0 + 1\/9*q**b - 2\/3*q**2 + q.\nAnswer: q*(q - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88148 (base 10) to base 12.\nAnswer: -43018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 4. Let k(n) = -59*n + 25*n + 33*n + 1. Give 4*k(f) - m(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-7)*14\/(-16).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 7*a + 20. Let k(p) = -p**2 - 9*p + 15. Let r be k(a). Let n = 5 - r. Solve n*u + 5*u - 5*b + 20 = 0, -5*u - b - 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599677759 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6543767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/174566 and 25\/16.\nAnswer: 1396528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*j - 21528 = -4*c - 70*j, 2*c = -5*j + 10792. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 14*b + 18264 = 15*b, -4*r + 73062 = 2*b. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -271, -940, -2055, -3616, -5623, -8076, -10975?\n\"Answer: -223*i**2 - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2143322569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2133345 (base 10) to base 5.\nAnswer: -1021231340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/34 + 34\/289. Suppose 0 = -l*s + 3*s - 2*d - 6923, s = d + 2307. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.400846 - -3.5991572. Let u = -4 + m. What is u rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 9. Let o be j(-7). Suppose o = -0*h - 2*h. Let i be (h + 3)*(-2)\/(-2). Solve -4*w = -i*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2 + 8*g - 81. Let h(u) = -u**2 + 3*u - 27. Determine 8*h(y) - 3*n(y).\nAnswer: y**2 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10 + 0*j**2 + 387*j + j**2 - 393*j. Suppose 2*k - 16 = -0*k - 4*g, 4*k - g = 23. Calculate the smallest common multiple of m(k) and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-8))\/((-43875)\/(-9000))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2319, 9138, 20503, 36414, 56871?\nAnswer: 81874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -34*r**2 + 8*r + 31. Let v(j) = -32*j**2 + 10*j + 31. Determine -5*c(f) + 4*v(f).\nAnswer: 42*f**2 - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 i when four letters picked without replacement from uaxiuiaxaxaxx?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 6*c - 4. Let u be n(-6). What are the prime factors of u*3\/((-48)\/100)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 453.0006 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(-24\/7)*j\/(j\/(j*j*j**3\/j))*j**(2\/7))\/((j**(1\/4)*j)**0*j**(1\/14)\/(j*j**(-1\/5)*j)) assuming j is positive.\nAnswer: j**(421\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 342821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**5\/20 - a**4\/2 + a**3\/6 - a + 108. What is w(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or 221088828?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 16\/10 - ((-7364)\/(-490) + -15). What is the third smallest value in c, 3, -3\/349?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*d**3*h**5 + 6*d**3*h - 2*d**3 + 13*h**5 + h + 136 wrt h?\nAnswer: 380*d**3*h**3 + 260*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2 + 7 = 0. Suppose 0*s - n*s + 9 = 0. Let k = -33 + 32. What is the closest to 0 in k, s, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/17 and -109\/408.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 596248 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*z = -46*z + 36. Suppose -z = -9*k - 66. Let m(d) = 5*d + 8. Let c(u) = -u - 1. Let s(b) = -b + 2. Let a be s(3). Give a*m(r) + k*c(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (4 + 1 - 5) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*b**3 - 750 - 140*b**2 + 5412*b - 125*b**2 - 9745*b + 5328*b.\nAnswer: 5*(b - 6)*(b - 1)*(4*b - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -16. Calculate the smallest common multiple of b and 6*(-2)\/4*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1 - 28\/(-26)). Let g = 17 - z. What are the prime factors of (2\/4)\/(g\/80)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/18, 5, -2\/11 in decreasing order.\nAnswer: 5, 1\/18, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -336 - -360.9. Let k = 648 - 673. Let x = n + k. Which is the second smallest value? (a) 2\/3 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 - 52*u**3 + 58*u**2 + 108*u.\nAnswer: -2*u*(u - 2)*(u + 1)*(u + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277129473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*d + 10. Suppose -d + 15 = 3*k. Let m(y) = 11*y**3 - 3*y**2 + 5*y - 5. What are the prime factors of m(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 368 = 504. What is the third derivative of -f*a + 143*a + 150*a + 143*a + 63*a**2 + 31*a**4 wrt a?\nAnswer: 744*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -29*m**5\/20 + 11*m**4\/2 - 15*m**3\/2 + 4*m**2 - m\/4 + 126. Factor o(x).\nAnswer: -(x - 1)**3*(29*x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-774)\/13416)\/(((-84)\/(-280))\/((-5)\/(125\/4))).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 142\/4 + (7\/(-2) - -4). Suppose 0 = 4*g + 12, -4*z - 28*g = -24*g - s. Solve 0 = -z*p + 14*p - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 57. Suppose -7*n + m = -2*n. Let j(f) = 18*f + 21. List the prime factors of j(n).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -65*i**2*z**2 - 4*i*z**2 - 3850*z**2 wrt i.\nAnswer: -130*i*z**2 - 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 8:14 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4*s = 45, 25*s + 25 = -p + 29*s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8304 divide 902763696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 1903.\nAnswer: -9\/1903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 17*g - 19. Let t be s(13). Let d be -7*(-8)\/308 - (-185459994)\/t. Round d to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w - 49 = -56 + 196 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/36783 or -1?\nAnswer: -2\/36783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = 0, 3*n - 3*i - i + 25 = 0. Let o be n\/(-28) - 6\/(-8). What is the greatest common factor of o and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 13.08062.\nAnswer: 209.28992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-390)\/(-273))\/((-2)\/(-56)) and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11226 + 0.01226. What is the closest to o in 13, 0, -1\/3, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/4 + 15619*s\/4 - 15617\/2 = 0. What is s?\nAnswer: 2, 15617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 6*v**2 + 30*v - 34. Let g be (-2*1 - -1)*(-21 - -6). Is h(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 227 = f, 528 + 193 = -3*f + 2*k. Let s be (-6)\/4*9\/f. Which is the biggest value? (a) -4 (b) -3 (c) s (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avv when three letters picked without replacement from vava.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*sqrt(17) - -2*sqrt(1700))**2.\nAnswer: -190*sqrt(17) + 6162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9936786 is divided by 1104084?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-28)\/(n\/(n**(-1\/37)*n)))\/((n*n**(1\/80))\/(n*n*n**(-33))) assuming n is positive.\nAnswer: n**(-177717\/2960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 8 (c) 0.5 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/2 - 1) + 1. Suppose d = -g + 2, 2*d - d = -3*g + w. Suppose d*r + 32 = 6*r. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1754, 17, 1\/6 in decreasing order.\nAnswer: 1754, 17, 4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -369 + 489. Let x be -1*-6*(-5)\/(-2). Calculate the greatest common divisor of n and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3 - 46*l)*(370 - 2*l - 2*l - 376).\nAnswer: 184*l**2 + 268*l - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**5\/7 + 38370*u**4\/7 + 5727326*u**3\/7 + 320701110*u**2\/7 + 1137760496*u + 73978994520\/7 = 0.\nAnswer: -19035, -41, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 26 + 5*o)*(-o - 1 + 1 - 4 + 2*o + 4 + (4 - 1 - 1)*(0 - 2*o + 0) + 4*o - o - 2*o - 1 + 1 - o).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/18*33\/44?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2679*q - 3 + 2 + 4 + 2681*q - 5. Determine t(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12 = 4*u, -2*o - 6*u = -u - 18. Let g be (117\/(-6) - o)*-2. Solve 5*p - 3*z = -g, 0 = -p + 2*p + 5*z - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = m + 2*h, -m + 4 = h + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 749872 + 23*r - 749872 - 42*r + 21*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z + 315. Let f(i) = 13*i. Determine j(f(a)).\nAnswer: 104*a + 315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13664605 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 448 and 25312?\nAnswer: 50624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/15 - 8894*k**2\/15.\nAnswer: -2*k**2*(k + 4447)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, n: 4, f: 5}. Give prob of picking 2 z and 2 f.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + 235*c + 17. Give y(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 375*a**2\/2 - a + 2182. Let l(t) = 4*t**2. Determine l(y(f)).\nAnswer: 562500*f**2 - 3000*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -17*s**3 - 3*s**2 - 22*s + 1. What is the tens digit of f(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(12\/10) + (23 - 14)\/(-9). Let t(l) be the first derivative of -41 + 0*l + o*l**3 + 0*l**2. Let y(f) = -79*f**2. What is y(t(j))?\nAnswer: -316*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 30. Suppose 90 = 7*r + 76. What is the highest common divisor of r and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686937253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 + 63*j + 89*j - 133*j)*(4 + j**2 - 4) to d*j**3 + c + m*j**2 + g*j and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*h - 4516, -h + 550 = 3*s - 583. Calculate the smallest common multiple of 113 and h.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 v when three letters picked without replacement from {y: 5, v: 7, c: 4}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2448213*v**3 - 10649*v**2 + 2*v - 12333 wrt v?\nAnswer: -14689278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24141?\nAnswer: 3, 13, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 7*w**2 - 2*w + 7. Let i be c(5). Let k = -25 - i. Calculate the highest common factor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**5 - 4*w**5 - 3*w**5 + (56*w**5 - 344*w**3 + 344*w**3)*(-3 - 3 + 4).\nAnswer: -115*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)\/w)**(-20) assuming w is positive.\nAnswer: w**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (6 - -7 - (20 + -3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4712*x - 4610 + 350932 = 3342*x for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 1 = -55. Is 10 a factor of (277\/9 - 1) + 2\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + sqrt(1900) + 3 + sqrt(1900) + (-5*sqrt(1900)*2 + sqrt(1900) - sqrt(1900)) + -5)**2.\nAnswer: 1280*sqrt(19) + 121664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((sqrt(64) - -2*sqrt(64)) + sqrt(64))\/sqrt(8) - (sqrt(24)\/sqrt(3))**2*-4) + -4 + -4)*-5.\nAnswer: 80*sqrt(2) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12554 or 0?\nAnswer: 12554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 4. Let m = -1 - b. What is the units digit of ((-6)\/10 - m)*25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-3 - (-39 - -15)) - (1 - 0)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y + 1. Let h(f) = 1. Let v(r) = 2*h(r) - q(r). What is v(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39222\/25 or -1569?\nAnswer: -1569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wufyfddyyd. Give prob of picking 1 u and 1 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/6*(19 + (-4417)\/49). Calculate the highest common divisor of m and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 10 + 2 = 0. Let a be (g\/(-4))\/((-10)\/120). Solve b - 2 = -a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-445)\/(-712)*2\/5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((-11 - 0) + 19).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/16 - 1)\/(6\/16). Suppose 1\/3*d**4 + 0*d**3 + 1\/3*d**5 + 0 + 0*d + 0*d**m = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 15 = 0, -5*q = -5*a + 2*a - 6. Solve -5*n + 3*r = -16, 3*n - a*r = -0*r + 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -24?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 4*a - 16, 4*q + 0*a + 2*a + 6 = 0. Let p be 0 + ((-13)\/8 - -2). Let m = 0.18 + -0.1. What is the fourth biggest value in p, q, m, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**3 - 28818*o**2 + 32920947*o - 32892132 = 0.\nAnswer: 1, 1324, 8281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 718.5669859 - 0.0019.\nAnswer: 718.5650859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 2*r + 4. Let p = 2 - 5. Let w be (0 - p)*(3 + -4). List the prime factors of v(w).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*t - 2038, -3*t + 144 = 2*w - 667. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 3*s)*(11*s + 23*s - 32*s - 68) in the form r*s + u + h*s**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -290\/7*h + 2\/7*h**3 - 2\/7*h**2 - 286\/7 = 0. Calculate h.\nAnswer: -11, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p - 1 + 2 + 4*p**2 - 2*p**2 - p**2. Let z be l(-4). Which is the closest to -2\/3? (a) z (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 199788949\/528 - 378388. What is the common denominator of z and 46\/55?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 10*r = 3, 3*h - 30 = 5*r. Suppose -160 = 8*m - 12*m. Calculate the greatest common factor of h and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 4*v - 24 = -2*g, 0 = -3*g + 4*v - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14344 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4176.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94 - -138. Suppose 82*z + 2802 - 10288 - 1534 = 0. What is the highest common factor of v and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6149 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, s: 7}. What is prob of picking 4 s?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 - 14*f**2 + 5*f + 10. Suppose -27*n = -28*n - 13. Is m(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/60)\/((-5)\/100)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -19. Let m(u) be the second derivative of 3\/2*u**d - 1\/2*u**3 + 3*u + 0. What is m(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 0*k + k)*(-6360 - 7994 + 3338).\nAnswer: 22032*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2848840 and 1675.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -89, -104, -189, -380, -713, -1224?\nAnswer: -1949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2167\/134645 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1451 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(16\/4)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 105573501562948.\nAnswer: 105573501562948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(0\/(-6) + -2). What is the greatest common factor of 568 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -104830400 to the nearest 100000.\nAnswer: -104800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*c**2*z**2 - 3*c**2*z + 605*c**2 + 3*z**2 wrt z?\nAnswer: 24*c**2*z - 3*c**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 9\/5, -3, 357, 1\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) - (-34)\/4. Let w(g) = g - 6. Let m(j) = -2*j - 1. Calculate the remainder when w(x) is divided by m(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -2*x**3\/3 - x**2\/2 + 5*x + 10. Let n(m) = -1. What is a(t) + 3*n(t)?\nAnswer: -2*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*w**2 + 0*w + w**3 + w + 5*w**2 - 1)*(-22 - 41 + 19)*(-w + 1 - 1) in the form l*w**4 + a + j*w + z*w**2 + d*w**3 and give z.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.9 from 1366.\nAnswer: 1368.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2 + 6*q. Let o(x) be the third derivative of 8*x**2 + 65\/24*x**4 - 3\/4*x**5 - 12*x + 0*x**3 + 0. What is 6*o(p) - 65*s(p)?\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*d - 2338 + 2390 = 0, 2*d + 12 = 3*z. Suppose 3*y - 9 = -3*o, y + 3*y - 2*o = 42. Suppose 5*t - 7 = y. Solve -5*s + t = z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -273992271.8 to the nearest ten thousand.\nAnswer: -273990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18962 - -758567\/40. Find the common denominator of 83\/3232 and k.\nAnswer: 16160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(968) + sqrt(968) - sqrt(968)) + sqrt(8) + sqrt(512))\/((sqrt(4) + (sqrt(4) - (sqrt(4) - (4*sqrt(64) + sqrt(4)))))*6))**2.\nAnswer: 961\/5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - 8\/(-1) - (-12)\/(-4). Suppose 5*g + j*a - 948 = 0, -421 = 4*g + 2*a - 1179. What are the prime factors of g?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y. Let n(p) be the third derivative of p**5\/60 - 2*p**2. What is s(n(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3. Let a(b) = 2*b**2 + b**2 - 4*b**2 + b + 4*b**3 - q + b. Let p be a(1). Solve 0 = p*g - 5*g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w - 2*w + (2 + 2 - 5)*(2*w - 3*w + 2*w))*(9*w + 6*w - 3*w)*(w**2 - w**2 - w**3).\nAnswer: 48*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 2*r**2 + r - 2. Let f be (1 - 0 - -14)*(-188)\/141. Let d(i) = 5*i**3 + 55*i**2 - 40*i - 20. Let a(p) = f*o(p) + d(p). Factor a(x).\nAnswer: 5*(x - 1)*(x + 2)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from crcrcccccccwrocrcrc.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 773*u + 1 = 774*u. Let t = -279\/28 - -45\/4. Are t and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**3 + i**2 + 63*i + 61. What is x(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*x. Does 13 divide 29 + (x - -3) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*g = 5*j + 73*g + 23, 0 = -j - g - 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from zzblvbbzzlb?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 0*s + 2*s = -14, -4*d = 3*s + 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 112*i**2 - 196*i + 3677. Calculate t(-114).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 23040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -18. What is the tens digit of 2\/(-2) - u - -39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72555.0509 + 72552. Let t = w + 0.0509. Put -0.09, 2, t, 2\/5 in increasing order.\nAnswer: t, -0.09, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 2449 - 1198 - 1180.\nAnswer: -o + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7)*g**(1\/9)*g)\/((g**(-20)\/g)\/(g*g\/(g*g**(-18\/5)))) assuming g is positive.\nAnswer: g**(887\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 841.\nAnswer: -5, -4, 841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*f + 35 = 0, -f = -4*h - 3*f - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 5*f + 3, -2*f - 21 = 3*t - 5*f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v + 70. Calculate the remainder when 103 is divided by v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -602.19 - -602.69967. Let h = 6.49 + -7. Let y = h + i. Round y to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 5*q**2 - 3*q - 11. Let v(u) be the second derivative of 1\/3*u**3 - 28 + 0*u**2 - u. What is v(m(a))?\nAnswer: 20*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359852 is divided by 786.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 1, -l - 5*t = l + 3. Let s(y) = 4*y + y**2 - 11*y + 6*y. Let m(p) = 7*p**2 - 6*p. Give l*m(q) - 6*s(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 128145638*o**3 + 38481506.\nAnswer: 384436914*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38635*o**2 - 38604*o**2 + 243*o - 243*o - 9*o**3 + 77239*o**2.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38043568 and 170514?\nAnswer: 342392112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 186099767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2992925187?\nAnswer: 3, 7, 15835583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 times 317303?\nAnswer: 53306904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttvcoeq. Give prob of sequence veo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 2*a**3\/3 + 86*a**2 + 174*a - 2. Give r(-36).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4, 2*c + 3 = -3*f + 7. Let u = 41 - -25. Calculate the smallest common multiple of 6 and c\/((-3)\/u)*1.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -841, -1271, -2437, -4705, -8441?\nAnswer: -14011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7724 divided by -3.\nAnswer: -7724\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 2. Let k be o(-3). Suppose -2*t + 107 = -5*r, -5*t - k*r + 2 + 283 = 0. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -2*-10*(-4)\/(-16) and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, 242, 723, 1428, 2363, 3534, 4947?\nAnswer: 6608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8774828218 + -8774828207.319999098. Let l = 10.68 - v. Round l to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -4*i**3\/3 - 9*i**2\/2 - 5*i. What is the remainder when 68 is divided by g(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*d + 17799*w - 17800*w + 5, 3*d = -5*w + 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 160 - 156. Suppose 0 = -4*p + i - 189, -p + 143 = -v*p + 2*i. Put p, 0, -4 in decreasing order.\nAnswer: 0, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/3 (b) 2\/89 (c) 287.9 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.196408 + -0.23373. Let p = -0.807 - -0.77. Let v = p - k. Round v to five dps.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161405 - 1219*l - 161405.\nAnswer: -1219*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 34 + 104. Calculate the smallest common multiple of 4221\/402 + (-51)\/6 and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*v + v = 18, 0 = -4*j - 3*v + 7. Let w = j - -4. What is the third derivative of -w*a**3 - 3*a**2 + 4*a**3 - a**2 wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.5708 times 0.3\nAnswer: -2.87124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 9:35 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63189 is divided by 231?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 15. Suppose 4 - q = -2*p. Suppose 2*k - 19 = -3*n, -5*k + 61 = p*n - 0*n. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27780000 rounded to the nearest one hundred thousand?\nAnswer: -27800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 760960360?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 - 45*f - 202. Let y(w) = -w**2 + 23*w + 102. Let a(v) = 3*k(v) + 5*y(v). Factor a(t).\nAnswer: 4*(t - 8)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 50141, 100290, 150453, 200636, 250845, 301086?\n\"Answer: s**3 + s**2 + 50139*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 10*q**2 + 2*q - 23. Let u be x(10). Put -4, -5, u, 4 in descending order.\nAnswer: 4, u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29988 and 9384?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 457649?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*p + 223 - 8*p**2 - 223 + 4*p**2 + 5*p**2.\nAnswer: p**2 - 30*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(3\/11)*v*v)\/v*v)\/v)\/(v*v**(3\/4)*v*v)*(v**0)**(-1\/7) assuming v is positive.\nAnswer: v**(-65\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -9. Let r be b\/(-6) + 4\/6. Let p = r - -10. Solve 3*u - h + 5*h + 23 = 0, 5*u = -h - p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*(sqrt(228) - -1*sqrt(228) - sqrt(228)))\/((sqrt(84)*1*3)\/sqrt(7)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41134 - -2?\nAnswer: 41136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33431 minus -109.117708?\nAnswer: 33540.117708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-1 + -1 - -4). Suppose 6 = 3*a - 2*a + 3*l, 2*a + 5*l - 11 = 0. Let n be 8 + -3 - 9\/a. Solve -p - 7 - 1 = -2*k, -8 = -y*p - n*k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/4 - 63*j**2 - 1383*j\/4 + 819\/2.\nAnswer: -3*(j - 1)*(j + 7)*(j + 78)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-4)*(-5 - -1). Let a(r) = 9*r + 3. Let h(d) = -d**2 + 7*d + 11. Let t be h(8). Let n be a(t). Calculate the highest common divisor of p and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 457915414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5815.694309 rounded to the nearest integer?\nAnswer: 5816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 7:15 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 12:15 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) - (sqrt(3872) + -1*sqrt(3872)))\/sqrt(2))\/(3*sqrt(16)\/(sqrt(4)\/sqrt(2))).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-3))\/((-2)\/(-3)). Let y(o) = -1 - 1 + 6*o**t - 6*o**2 - 8*o + o**2. Let q be y(8). Sort -4, 0, q.\nAnswer: -4, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*c**2*t**3 - 2*c**2*t - 1101*c**2 + 4629*c*t**3 + 6*c - t**2 - 2*t wrt t.\nAnswer: 42*c**2*t + 27774*c*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -14*t - 8. Suppose -300*a + 40 = -290*a. Let c(k) = -5*k - 3. What is a*y(x) - 11*c(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-42))\/(8\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*f**2 + 0 - 3\/4*f.\nAnswer: -3*f*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -209.17338013309.\nAnswer: -209.27338013309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-497)\/49 + 10 + (-142998)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139 + -3.431\nAnswer: 135.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -22*a + 25*a + 40, 2*a = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 189 + 96. Let p = 116870 - 116846. What is the lowest common multiple of s and p?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*f - 34*f + 80*f - 29*f.\nAnswer: -47*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 5*w - 4. Let r be f(7). Let o(x) = -2*x - 32. Let t be o(r). Solve t = g + g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1219 and 111\/530.\nAnswer: 12190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**3 + 246*f**2 = 0.\nAnswer: 0, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 11 - 18 + 210923*b + 0 + 6.\nAnswer: 210923*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114.3 + 1456.\nAnswer: 1570.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + g + g**2)*(-5*g - 3*g + 4*g) + (-2 + 2 - g)*(9*g - 9*g - 10*g**2) to o*g**2 + w + u*g**3 + s*g and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 12, n: 1}. What is prob of picking 2 w?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 20 + -2 - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -9 + 105. Suppose 2*z + m = -3*n + 3*z, -3*z = -12. What is the common denominator of -31\/9 and (-1)\/n - 468\/80?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2. Let c(a) = 2343*a**2. Calculate w(c(l)).\nAnswer: -5489649*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 53, 44, 29, 8, -19?\n\"Answer: -3*t**2 + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221 + -32031202?\nAnswer: -32032023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 932405830 rounded to the nearest one million?\nAnswer: 932000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74026 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2130746.1 rounded to the nearest ten thousand?\nAnswer: -2130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + 0.8. Let m = 18572.2 - 18572. What is the nearest to 1\/3 in -0.2, j, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.59257 to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 3*v**2 - 4*v + 12. Suppose -4*p = -133 - 47. Calculate the remainder when p is divided by s(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 16 - 1 = -d, -5*d + 4*b + 20 = 0. Suppose d = -6*t + 2*t. Let v be -7*(-1 + t\/2). What is the highest common divisor of 14 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21987457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l**3 + 13068 - 25668 + 32*l**3 - 60*l**3 + 12600.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 83*u + 1165 = 81*u + 1157, 0 = -5*i + 5*u + 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 6868\/467?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 85197.09 decades?\nAnswer: 851.9709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**6\/120 - m**5\/12 + 2*m**2 + 2. Let o(f) be the second derivative of q(f). What is the third derivative of o(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892394.\nAnswer: 2, 446197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1205, -9496, -31983, -75758, -147913?\n\"Answer: -1182*u**3 - 6*u**2 + u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 + 1101010011?\nAnswer: 1100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(343) + sqrt(343))**2 - sqrt(343).\nAnswer: -1029 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 3 (c) 2 (d) 3\/268 (e) 4\/5 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + -5.02. Suppose 1 = 3*i - 3*a - 20, 4*a = 3*i - 24. Suppose -i*n + 20 = 4*h, 8*h + 4*n = 3*h + 21. What is the smallest value in h, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from fgcttfvtccvc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -909 + 35?\nAnswer: -874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*u**2 + u**2 + 0*u**2)*(33 - 97 - 43) + 2*u**2 + 0*u**2 + 0*u**2)*(-3*u - 2*u**2 + 3*u).\nAnswer: -218*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 11:51 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 3*s - 20 = -s + 2*s + a, -7*s - 142 = 8*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 52.31 and 65013.\nAnswer: 65065.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*t - 254, 2*v - 3*v - 129 = 4*t. Let m = v + 253. Is 64 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-27))\/((-21)\/9 - -2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2 - 3*o - 4. Let g(k) = -5*k**2 - 5*k - 7. Let j(h) = 6*g(h) - 11*p(h). Is 7 a factor of j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 7. Suppose 4*x + 2*c - 7 - 1 = 0, x + 5*c + 16 = 0. Let i be p(x). Suppose -8*y + 53 = -i. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2255.\nAnswer: 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -182*j - 930. Give z(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -48*z - 527. Let n be a(-12). Calculate the highest common divisor of 5096 and n.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 27*j - 71. Suppose 678 = -9*a + 462. Let y be q(a). Put y, -6, 5 in descending order.\nAnswer: 5, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 + 466*d + 8*d**3 - 466*d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329360 divided by 920.\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1316734166 to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9596 - -9603. What is the highest common factor of 4557 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(3\/4)\/m))\/m*m*m**6*(m*m\/(m**(4\/9)*m))**7)**(-2\/7))**(2\/9) assuming m is positive.\nAnswer: m**(-401\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1209\/(-26))\/((-2)\/(-4)). Let p = 25 + a. What are the prime factors of p\/(-7 + 3 + 2)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + -6 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**4 + j**2 + 2*j - 6. Let q(d) = -3*d**4 - 295*d**3 - 10*d**2 - 10*d - 11963. Let z(u) = -5*f(u) - q(u). What is the first derivative of z(x) wrt x?\nAnswer: -8*x**3 + 885*x**2 + 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -231*z + 91. Is k(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1153*v + 72 = 1152*v + 9*a, 8 = a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 o, and 1 p when three letters picked without replacement from opbegoe?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -140, -8, 4\/5, 5 in decreasing order.\nAnswer: 5, 4\/5, -8, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**2)\/c*c)**(-32)*c*c**2*c*c*c\/c**(-1\/4) assuming c is positive.\nAnswer: c**(153\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*q + 52 = 333*q. Put -126, q, 3, 0 in descending order.\nAnswer: 3, 0, q, -126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 56950.538427\nAnswer: 56951.038427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**2 - 2 + 6 - 4 in the form s + z*g**2 + b*g and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 2. Suppose 9 = b*p + 4*m - 3, -m + 3 = 0. Suppose p*c = -c + 5. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 801 and 30171?\nAnswer: 90513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -12*d**3 - 165*d**2 - 498*d + 135 = 0.\nAnswer: -9, -5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 23791265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 888\/19 or -8934?\nAnswer: 888\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 13. Let h be i(0). Suppose a - h = -11. Let q = 7 + a. Calculate the smallest common multiple of 2 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14232916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/5 - 128*g\/5 - 52 = 0. What is g?\nAnswer: -2, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*w - 20 - 24 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus -0.05371?\nAnswer: 6.05371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 186 and 4.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 441733.8 less than -11523148?\nAnswer: -11964881.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = 4*z, -3*z - 5*g = 8 - 3. Suppose z = 2*u - 3 + 1. Which is the third biggest value? (a) -1\/6 (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-60))\/(6\/16)*-50. Let u(o) = -73*o + 32*o + y*o. Let k(w) = 42*w**2. Calculate k(u(n)).\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, j: 2, p: 8}. Give prob of sequence oo.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 130\/3. Suppose 12 = 53*u - 47*u. Suppose g + 8 = -u. Which is the fourth biggest value? (a) 0 (b) k (c) g (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/120 and -53\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887 = -89*q - 270 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnln when four letters picked without replacement from llnlnrrr?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.97902 and -52.\nAnswer: -102.90904","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 757, 1743, 3123, 4897, 7065, 9627?\nAnswer: 12583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h + 6*h - 10*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-12)\/(-120)*2\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 + 0*f**2 + f**2 + (-11*f - f + 3*f)*(f - 4 + 4) - 13*f**2 - 32*f**2 - 5*f**2 + (-2 + 0 + 4)*(2 - f**2 - 2).\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 2*i**2 - 5*i + 1. Let r be p(4). What is the greatest common factor of 26 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2\/183, -2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25 + -1 + -3 + 3 + 2. Suppose a - 38 = -3*d. Let j(w) = 2*w**2 - 6*w + 9. Is j(d) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154609381 rounded to the nearest one hundred thousand?\nAnswer: -154600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -149 + 144. Is (-6 - c)*-2 + 4367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19287, 77297, 174011, 309429, 483551, 696377?\n\"Answer: 19352*a**2 - 46*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7696.926 kilograms in micrograms?\nAnswer: 7696926000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 + -2210572?\nAnswer: -2210622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from mlemhir?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7452 is divided by 3715.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -506a + -1?\nAnswer: -506b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8528 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 292*a**2 - 17*a - 5. Let j(q) = -145*q**2 + 8*q + 2. Let x(d) = 2*h(d) + 5*j(d). Let x(m) = 0. What is m?\nAnswer: 0, 2\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12317279 by 5.\nAnswer: 12317279\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39266 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45*-3*(-14 - (-29 - -1) - (-244)\/(-18))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -2. Let p be (-5)\/(-15)*x*2. Solve -3*b + 2*b + p = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/5754 and -83\/42.\nAnswer: 5754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 10*l**2 - 11*l - 27. What is o(11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -24*q - 147. Let s(u) = 215*u + 1325. Let z(v) = -35*l(v) - 4*s(v). Let b be z(-8). Let g(k) = 5*k + 4. Determine g(b).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {k: 1, m: 12}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - ((-162)\/(-24) + -1))*-4. Suppose -15964 = -49*c - z*c. What are the prime factors of c?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**11*d**(3\/7)\/(d*d\/(d*d**(-1\/2))*d)*((d\/d**(-2\/7))**(2\/63))**6 assuming d is positive.\nAnswer: d**(-179\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2. Let h = -0.06 - -18.96. Let b = -19 + h. Sort 4, m, b in increasing order.\nAnswer: b, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 13) to base 10.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 0 + 0*n**5 + 5\/42*n**7 - 3*n**2 + 0*n**6 + 0*n**3 + 11\/24*n**4 + 0*n. Find the second derivative of p(a) wrt a.\nAnswer: 300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 38966480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 16 + 1 + -2 - 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7509 and 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/564*136\/34*-1.\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11312716, 22625455, 33938196, 45250939, 56563684, 67876431?\n\"Answer: y**2 + 11312736*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (14 - -1)) + (10 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*n**2 + 28*n**2 - 300*n**2 + 41*n + 3 - 3 wrt n.\nAnswer: -410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -428.064 + 3.\nAnswer: -425.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 5. Let q(h) = 0*h - p + 13 - h + 2*h**2. Let a(c) = -4*c**2 + 2*c + 4. Calculate 4*a(g) + 9*q(g).\nAnswer: 2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 29\/10236?\nAnswer: 29\/10236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001650910157 to 7 dps.\nAnswer: -0.0001651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*s + 4)*(-5*s + 3*s - s + (3 - 3 + 2)*(0*s - 2*s + s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 1\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, 0.5, -1\/3, -6\/7, -2\/11, -2057?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 36*s - 161. Calculate j(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**2\/2 + 11*z - 8. Let y be j(-7). Suppose -y*t = -3*v - 24, 20 = 5*t - v + 1. Solve 2*i - 4 = -0*i + 3*a, -t*a = 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*i = 114*i + 17052. List the prime factors of i.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 17*l**2 + 5*l + 16. Let h be k(17). Let w = -44 + h. Let u = 31 - 12. Calculate the greatest common divisor of u and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 7*j**2 + 40*j + 63. Let g(t) = 5*t + 13. Let r(i) = -8*g(i) + 3*o(i). Determine r(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 43, 61?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/21 (b) 57\/47 (c) -0.5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/1 + (-5 - -5). Let f be (148\/(-28) - -5)\/((-1)\/14). Put 2, f, o in ascending order.\nAnswer: o, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 2)*(-3 + 4 + 1) + 0 + 3 - 5)*(-5 + 2 + 1)*(-83*s + 62*s - 66*s)*(5 - 2 + 6).\nAnswer: 3132*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**3 - k**2 - 21*k - 20. Let z be t(-1). Let d(b) be the second derivative of -b**5\/20 - b**4\/2 - 2*b**3\/3 - 7*b**2\/2 - 6*b. Determine d(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142188339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.94 + -0.47. Let x = o - -3.53. Let t = 2.5 - 0.5. Which is the third biggest value? (a) -5 (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 24 (c) 37 (d) -0.1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 9. Let s(c) = -c**3 + 12*c**2 + 13*c + 1. Let h be s(13). Let r be 4\/(h\/(-3) - 4\/(-48)). Is 13 a factor of j(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 2 + -14 - -4) + (6 - 11).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2. Let g(m) = m**2 - 5333. Determine d(g(k)).\nAnswer: -k**4 + 10666*k**2 - 28440889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24227 - -23730. Which is the closest to -2\/3? (a) -3 (b) 0.4 (c) m (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 483*t + 2467. Let u be s(-5). Suppose g + 5 = 8. Solve -g*m = -u*j + 1, 0*m - 5 = 3*m - 4*j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**2\/2 + 51*p - 7730. Give g(-20).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3 + sqrt(637)*-2)**2 + 0 + -4*sqrt(637)*-1*-3)*-4.\nAnswer: -10233 + 672*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -410*n + 411*n - 6*s + 26, 5*n - 5*s = -30 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -14*m - 8. Let v be d(9). Let o = v + 148. Which is smaller: o or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 5)*(0 + 0 - 3*d) - 67*d + 157*d + 516*d.\nAnswer: 612*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3673.847 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -237 + 1235?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from kukdudaj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.63913 months in millennia?\nAnswer: 0.0109699275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2706920 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 28 = 8. Find the common denominator of 23\/8 and (a\/(-10))\/(108\/(-5715)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 3. Let j be (-13)\/(-4) + (-4)\/16. Let r be v(j). Suppose 5*p + 2 = -2*l, 2*p = -r*l + 4*l - 20. Round l to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1989113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**3 - 50168*i**2 - 100348*i - 50176 = 0.\nAnswer: -1, 12544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -490*r**2 - 18492*r + 18492*r as d*r + h + x*r**2 and give x.\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26574 + -12330. Is x\/180 - 2\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264, -269, -204, -63, 160?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3166*f*r**3 + 19457*f + r**3 + 1 wrt r?\nAnswer: -9498*f*r**2 + 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 1011011101100001000100?\nAnswer: -1011011101100001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60039328*b**6 + 28*b**2 + b - 49 wrt b.\nAnswer: -7204719360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.713580767 + 304220\nAnswer: 304220.713580767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 = 2*k - 5*t, -k + 4*t + 18 = 0. Let h be k\/(-3)*(-30)\/20. Is 48\/(-16)*h*11 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/105)\/(1\/5*7)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 4. Let q(x) = x**2 + 6*x - 21. Let d be q(-9). What is the units digit of (a - (d - 2))\/(2\/(-28))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3402*f - 2435*f - 9*f.\nAnswer: -5846*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62830 divided by -34.\nAnswer: 31415\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 316*i**4 + 153088*i**3 - 111887862*i wrt i.\nAnswer: 3792*i**2 + 918528*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*a - 1. Suppose -a*k + 4*t = -14, 2*t + 3*t + 1 = -2*k. What is the highest common factor of k and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115 - 18. What are the prime factors of c?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + 4.9155353315552.\nAnswer: -2.0844646684448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/6864*22\/4 - (-3)\/(2 + -41)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 178 - 177.432. Let f = -0.6 + j. Round f to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 69959484.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 19 = -7*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(24)\/sqrt(2))*-6.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -7. Suppose 5*p - 3 - 2 = 0, 4*p = m + 145. Let h = m - -140. What is the closest to h in 4, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 196.5 - 179. Let m = -17 + o. Which is the smallest value? (a) 0.1 (b) m (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -14*s**2. Let h(f) = 4 - 4 + 4*f**2 - 3*f**2. What is h(o(y))?\nAnswer: 196*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 12:57 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/19)\/j**(2\/25) assuming j is positive.\nAnswer: j**(12\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 + 16.4. Let m = -19 + v. What is the closest to 1\/3 in -5, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8900 (base 10) to base 12.\nAnswer: -5198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 - 30211345*l**3 + 422959565*l**2 - 1480359335*l.\nAnswer: -5*l*(l - 7)**2*(l + 6042283)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -668\/1067?\nAnswer: -668\/1067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -351838976*w**4 + 340238376*w.\nAnswer: -4222067712*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 4*h = 5*z - 6, 0 = 3*h - 6. Suppose -z*l + 10 = 0, -4*l + 2*l = -5*g + 90. Calculate the least common multiple of g and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2 - 25\/(-10). Let x(g) be the second derivative of 2*g + 1\/6*g**3 + 0 + i*g**2. What is x(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.9654522 nanometers?\nAnswer: 0.0000000009654522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8 - 15*t - 3*t**5 - 18 + 12 - 7*t**2 wrt t?\nAnswer: -60*t**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -727*q + 3 - 737*q + 1469*q - 1 - q**2. Determine z(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 835 + 834 - 1217*c**3 - 1670 as j*c + v*c**2 + p*c**3 + d and give p.\nAnswer: -1217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 - 9*r - 2. Let v be 6\/(-1 + 2 + 2). Let h(p) = -27 - 2*p**v + 17 + 10*p + 11 - 2*p**2. Let i(x) = 4*h(x) + 5*m(x). Factor i(c).\nAnswer: -(c + 2)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k - 544 = 0. Suppose -8*x = 13*x - 54*x. Suppose x = -3*m + z + k, 198 = m + z + 2*z. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 659404 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7614881?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 24\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from urnvyzy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -13. What is the smallest common multiple of 11 and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-501*p**2 + 9*p**3 + 501*p**2)*(-p + 3*p + 2 + 0*p) to m*p**3 + v*p + z + n*p**2 + y*p**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 34*o + 49, 4*i + 7884*o = 7888*o - 24 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 104, 192, 270, 332, 372?\n\"Answer: -t**3 + t**2 + 92*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -551\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/35)\/((-3)\/21) + -9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a2 (base 15) in base 2?\nAnswer: 101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 3:12 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3762 and 23562?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 13*b**2 + 905*b - 8771. Give w(10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Suppose -20 = -0*d - u*d. Calculate the remainder when 38 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - q = -n + 11, 0 = 2*n - q - 6. Suppose 884 = -40*p + 53*p. Suppose 3*f - 74 = -p. Solve n = 5*a - z - 1, -8 = -f*a - z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 466\/(-10) + 6\/(-15). Calculate the remainder when (-1)\/(-1 + (-46)\/f) is divided by (-4)\/5*(-11 - 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905290747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 624 and 360?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (162\/4)\/(1\/2). Round k to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*o = 25, o - 11 = 4*h - 40. Suppose -42 = -3*s + 2*k - k, s - 5*k - 14 = 0. Calculate the highest common divisor of s and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 65.38848 millilitres?\nAnswer: 0.06538848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7919716.32 - 452356040.68. Let u = w - -460276165.999763. Let n = -409 + u. What is n rounded to five dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 47*t - 384. Determine h(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15866 divided by 3\nAnswer: 15866\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -62, -160, -290, -452, -646, -872?\n\"Answer: -16*i**2 - 50*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -112*i**3 - i**2 + 4*i + 11. What is the tens digit of g(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 66609 + 66432 for d.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n = 3. Let w = 0 - n. What is the units digit of (12\/(-3))\/(w\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 4?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/1968948 and -97\/60.\nAnswer: 9844740","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 700 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40912008?\nAnswer: 2, 3, 503, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**4\/4 - 4*m**3\/3 - 3*m**2\/2 + 2*m - 9. Let h be r(-3). Find the second derivative of q + 12*q**h - 2*q - 14*q**2 wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(2) - sqrt(24))\/sqrt(3) + sqrt(8) + sqrt(40)\/(sqrt(5) + sqrt(80)))\/((-1*sqrt(240)\/sqrt(5))\/sqrt(12)*5)*4.\nAnswer: -24*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbofbbf. What is prob of sequence ffb?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.4 + 39.6. Let n = a + -47. Let s = -116\/3 - -39. Put n, -0.09, s in increasing order.\nAnswer: -0.09, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 6\/24)\/((-2)\/2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 + -284. What is the second biggest value in -1\/8, t, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -2*v**6\/15 + v**5 - 184*v - 138. Let p(z) be the first derivative of u(z). Factor p(q).\nAnswer: -4*q**3*(q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -247, 2, 3, 0.\nAnswer: -247, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/52 and -73\/5236?\nAnswer: 68068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 313*k - 23785. Let x be p(76). Suppose 14 - 60 = -2*d. Let h be -1 + (d - 2) + -1. Solve 4 - h = x*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2325\/1953)\/(120\/72).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(324)*-2).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1100*z**3 - 24*z + 1114*z**3 - 73*z - 2213*z**3.\nAnswer: z**3 - 97*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1. Let b(n) = -21*n**2 - 25*n + 10. Let q(t) = -b(t) - 4*p(t). What are the prime factors of q(-7)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 0.4 (c) 322 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*p = 777 + 1581 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/2, -0.04, 0.3, -767?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3317*a - 15055. Give w(-6).\nAnswer: 4847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + 0 + 1 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 988752143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2554, 0, -3, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**5 + 2024*j**4 + 150244*j**3 + 436504*j**2 + 288288*j = 0. Calculate j.\nAnswer: -63, -2, -1, 0, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*z**2 - 441*z**2 + 1094*z**2 - z.\nAnswer: 208*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4293 - 0.2\nAnswer: 4292.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 27 - 1. Let l(b) = -588*b**3 - 10*b**2 + 9*b - 29. Let i be l(x). What is i rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670 is divided by 76.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) -55\/4 (c) -9525 (d) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 + 5. Let g be 1*21*1\/(-3). Does 26 divide w(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 5*s = -0*k + 10, 0 = -2*s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + (-4 + (sqrt(7) - (-1 + sqrt(700))) + 4)**2)*-2.\nAnswer: -1138 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2101 - 3?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017161032 rounded to 7 dps?\nAnswer: -0.0001716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-3)*(a\/(a*a**(1\/2)))\/a*a)\/((a\/a**(2\/9))\/(a*a**(2\/9))))**10)**(-29\/5) assuming a is positive.\nAnswer: a**(1595\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/21 + 6943\/(-371)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 569 + 545 - 1675 - 4*t + 561 + 7*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*(-3)\/(360\/(-16)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*i + 48. What is the smallest common multiple of i and ((-1)\/2)\/(1\/(-24))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/((-156)\/12)*((-11)\/6)\/11*25?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 239*w**3 + 2*w**2 + 7*w + 4. Suppose -10 = -3*p + 2. Let k be f(p). Let z = -25660 + k. Round z to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2. Suppose 4 = 5*x - 3*w, 4*x - 6*w - 2 = -3*w. Suppose -1 = 3*t - 3*n + x, -2*n = -8. Let p(d) = 25*d**2. Give t*p(f) + 35*u(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100101000 (base 2) to base 4.\nAnswer: 110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 56, 89, 134?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240359516, 480719036, 721078556, 961438076, 1201797596, 1442157116?\nAnswer: 1682516636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 484, -2, 5, 4, -21 in descending order.\nAnswer: 484, 12, 5, 4, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, e: 2, s: 1}. What is prob of sequence les?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 14 = 5*t - f, 2*f = -4*t. Calculate the highest common factor of t and 6243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -16 - (-1109)\/5 - 3\/(-15). Which is bigger: 212 or i?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 44074.22 hours?\nAnswer: 158667192000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167294 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-50 - (-54 + 141)) + (10 - 3)\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = 2. Suppose 12 = q*s - s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2.5, 3, 6\/43?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 10 - (16 - 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 15) to base 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 45 + 24. Let p = f + -38. Is p a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590 is divided by 153.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 683429833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40779929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -147 - -156. Suppose -7*k = 5*q - l*k - 50, 2*k = -q + 10. Solve 0 = 4*p + 4*s + q - 2, 4 = -2*p - 5*s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -1)*-5*(-2)\/25. Suppose q*c = -b + 7 + 2, 0 = c - b. Solve 0 = 2*u - c - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 3*l**2 + l + 1. Let v be r(3). Suppose v*s = 3*c + 452, -2*c = -0*c + 8. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 9) to base 8\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 4*j**2 + 4*j - 1. Let v be t(-3). Let r(x) = -6*x - 2. Let h be r(-2). Let p = v + h. What is the remainder when 22 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7\/3, -8535, -325 in descending order.\nAnswer: -7\/3, -3, -325, -8535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 12*r**2 + 13*r - 16. Let u be l(11). Let n be (-15)\/25 - u\/(-10). Let t be (0 + 1)\/(n + 1). What is the third smallest value in -0.5, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(931) + sqrt(931) + 1))**2.\nAnswer: 1008*sqrt(19) + 134100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4*1)\/(6\/(-36)). Let m be (-9)\/j*-2*-60. Suppose 0 = 4*k - 16, 3*p + k - 9 = 22. Calculate the highest common divisor of p and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340104 divided by 1532.\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -5. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 - (-3 - 11))\/(2\/5). Suppose -u*i = -4*k + 694, i - 4 = -i. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 35*c - 19460 = 38*c, -3*i + 3*c + 11670 = 0. Is 3895 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 7*o - 2 + 3 to the form z*o + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 4*u**2 + u - 1. Let f be q(2). Let v = f - 6. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.656 + -0.22. Let x = p - -2.5. Round x to two dps.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/13, -76, -4, 20, -4\/5 in descending order.\nAnswer: 20, -6\/13, -4\/5, -4, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 2:58 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 + 53. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1615 - -94?\nAnswer: -1551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 2, k: 4, w: 2}. Give prob of sequence rw.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbzqtzfbh. Give prob of picking 1 z, 1 b, and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 113149019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2) + 16\/(-14)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1\/9)*a))\/a**5)**(-42) assuming a is positive.\nAnswer: a**(616\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2 - 2)*(9 + 5 - 2).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - 2*o + 2*o + 2*o + (-6 + 3 + 1)*(-4*o - 8 + 8)*(326*o - 134 + 134) + (0*o - 3*o + 5*o)*(o - 5*o + 5*o) in the form s*o**2 + f + a*o and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 17*s**2 + 10*s - 23. Determine d(17).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 plus 446834?\nAnswer: 447104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2428*y + 90. What is the ten thousands digit of k(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -8*f**2 - 7*f - 5. Let c(o) = -15*o**2 - 14*o - 9. Let h(w) = 6*c(w) - 11*r(w). Let v = 2 + -5. Let u be h(v). Solve 2*n + 6 = u*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2812\/39537?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3)*5 + (-1 + sqrt(396) - sqrt(11)) - (sqrt(440)\/sqrt(200))\/sqrt(5).\nAnswer: -1 + 49*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -957 + 956.9. Put -5, x, 0.1, -1\/7 in decreasing order.\nAnswer: 0.1, x, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 18*c + 4 + 2*c + c + 3. Let s be n(-7). What is the tens digit of (-8)\/20*(s + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -1.6, -3, 0.19, 0?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.87 - -25. Let m = 1.87 + l. Let v = -3 + 2.8. What is the second smallest value in m, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 17 = 4*r, 7*r - 4*t = 2*r + 60. Suppose 391794 + 3144206 = r*k. What is k rounded to the nearest ten thousand?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 648213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3*sqrt(28)\/sqrt(2) - ((sqrt(112) + sqrt(112)*2 + sqrt(112))\/sqrt(8) + sqrt(14)))\/((2*sqrt(1400))\/(sqrt(8)\/sqrt(4)*3)))**2.\nAnswer: 12*sqrt(2) + 697\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a - 16. Let q = -2 - -4. Suppose a*u = 3*u + q. Solve -2*y = u*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45604820?\nAnswer: 2, 5, 29, 61, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**1)**(-6)\/(s*s**(-4)*s*s**(-7)\/s))**2 assuming s is positive.\nAnswer: s**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.44 + 2.21. Round d to one decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 13. Let a = j + 14. Is a + (866 - (-8)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 855797 > 855843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**1\/u)\/u)**(-34)\/(u\/u**(-3)*u**(1\/9)*u))**(-6\/5) assuming u is positive.\nAnswer: u**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -29194527 divided by 6\nAnswer: -9731509\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 2*h**2 - 15*h + 24. Let x be q(5). Solve x*n - 6 = 21*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*a - 1306, j + 15 - 352 = -3*a. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 185522005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*u + 1424708, 5*u - 784282 - 165508 = 2*f. What is f rounded to the nearest 10000?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 20*s - 2. Let m = 37 + -35. What is the tens digit of l(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**2 + 4*d + 2. Let n = 10 - 8. Let a be r(n). List the prime factors of (-5)\/(a\/168) - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 - 4471*o - 58625. Calculate h(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1211 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3521 minus -1.769?\nAnswer: -3519.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1195, 2378, 3559, 4738?\n\"Answer: -d**2 + 1186*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 68.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 401754864 + -0.4\nAnswer: 401754863.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) -11\/7 (c) -0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 898959?\nAnswer: 3, 299653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56.8 - -57. Let z be 2\/1 - 14\/6. Put z, -5, u in decreasing order.\nAnswer: u, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.82623 + -61857187\nAnswer: -61857187.82623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 38*g - 30. Let o = 143 + -140. List the prime factors of j(o).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 647\/15 - 43. Let z(k) = -34*k + 1704. Let y be z(50). Which is the second smallest value? (a) q (b) 14 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003216443 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1117261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605*k + 4*d + 36 = 600*k, 3*k - 6*k - 4 = -2*d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v - 112. Let i(p) = -p - 5. Let w(r) = r - 2. Let g be w(-6). Let u be i(g). Solve 0*m + u*m + 6 = 0, -5*k = -4*m - v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/2 - (-115)\/(-23)) + -6. Let c(d) = -13*d + 21. Let h(a) = 7*a - 11. Let j(g) = 6*c(g) + 11*h(g). Give j(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, z: 7, m: 4, o: 2, d: 3}. What is prob of picking 1 o, 1 m, and 2 w?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-48)*(-4)\/(-5)*-2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2422 divide 293886575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 126*k - 972.\nAnswer: -2*(k - 54)*(k - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/4*(0 - (-10)\/(-5)). Suppose 2*n = 5*n. Sort n, o, -12.\nAnswer: -12, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 + 13*j + 5. Let m be q(-5). What is the greatest common factor of 15 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/4)\/(-8 + (-525)\/(-60)). Let y = 6 - 5. Let m = y + -1. Which is the closest to d? (a) -2 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -15 - j - 5*j + 161*j**2 + 13 + 2*j. Is d(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -454399 by -1.\nAnswer: 454399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2083 at least as big as 2121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/18 and -11\/338?\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvp when three letters picked without replacement from tpvtvvvvvrvvvptttt?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/6498 and -31\/13644.\nAnswer: 4925484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z + 9 + 2*z**2 + 4 - 7. Let o be x(-2). Solve 5*d - 3*p = -0*d + 21, -4*d = 3*p - o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6811712 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**5\/8 + 21*w**4\/4 - 27*w**3\/2 + 51*w**2\/4 - 33*w\/8 = 0.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1. Let x(p) = -p - 11. Let a(t) = -4*u(t) - x(t). Give a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 2:42 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**3 - 2*b. Let j(z) = 27*z**2 + 12. Let r(q) = -11*q**2 - 5. Let u(l) = 5*j(l) + 12*r(l). Determine u(o(n)).\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (0 - -14) + (-22 - -19).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*f - 4*f - f - f**3 to x*f + b + m*f**2 + l*f**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 3, w: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 118802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2 - 57714*t + 48487316 = 0.\nAnswer: -29674, 817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*l = -160*l - 32 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -201*r**3 - 2 + 482*r - 469*r + 175*r**3 to the form w*r**2 + k*r**3 + p*r + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 + 2 - 70466*b + 1 + 70468*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - -4 - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 10:25 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45171441 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*t**5 - 2*t**4 - 15*t**3 - 6*t - 4041 wrt t.\nAnswer: 1220*t**3 - 24*t**2 - 90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-3)\/3)\/(-3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276869 is divided by 10636.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 892 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, 243, 305, 399, 531, 707, 933?\nAnswer: 1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1331 and 671?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 3*f + 3*f)*(8 + 1 + 1).\nAnswer: 40*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 179068.\nAnswer: 1969748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218437 is divided by 72808.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2. Let w(i) = -27*i + 47*i - 8*i + 1 + 2. Calculate a(w(c)).\nAnswer: 288*c**2 + 144*c + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 21 + 19 - 20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 4245?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*a + 1196 = 240*a + 11868 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 4*p + 120. Let z be 875\/14*-3600*p. Round z to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 5 = 2*p + 1, 30*p - 51*p + 22*p = -140*l + 567 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37408566 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144 - 139. Sort l, -17\/4, 1 in decreasing order.\nAnswer: l, 1, -17\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -24. Let m = 122.1 - 100.264. Let k = z - m. What is k rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from mccccmccycccmjccccj.\nAnswer: 13\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 245773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4, -4*d - 188 = -2*d + 4*n. Let l = -72 - d. What is the remainder when 23 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000056807 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 67760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and (-1)\/(21\/(-2)) + (-1884)\/(-63)?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 0)*(2 + -1). Let h be 2\/11 - (-8)\/(-44). Let u be h\/(5 - (-9)\/(-3)). Which is the third biggest value? (a) u (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 93520741 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3964413 and 2123?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -242*t**4\/25 + 66*t**3\/5 - 96*t**2\/25 + 8*t\/25 = 0?\nAnswer: 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 2152\nAnswer: -17\/1076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28\/2403 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + sqrt(13) + sqrt(26)\/sqrt(2) + 2.\nAnswer: 1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546311263.\nAnswer: 546311263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3410123.\nAnswer: 163, 20921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101 (base 2) to base 8.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.94 - -24.64. Which is the nearest to 0? (a) r (b) 3 (c) 4 (d) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 156 - 8*h - 156 + (2 + 7 + 2)*((-1 + 1 + 1)*(-4*h + 3*h + 3*h) - 2 - 4*h + 2).\nAnswer: -30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49046 divided by -2072.\nAnswer: 24523\/1036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3*((-102141)\/(-6))\/(-9). Is 15 a factor of (-26)\/39*(1 + 0 + b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -5. Suppose 0 = v - 0*o + o - 5, -2*v + 3*o - b = 0. Calculate the highest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31911282 to the power of 1\/3, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72783 is divided by 10370.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 144*v**2 - 3628*v + 1202. Calculate m(-33).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - (4 + 27)) + -7 + 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 28\/16 - 51\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 87 + 4*w**2 + 253 - 80 - 94 - 3*w.\nAnswer: 4*w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-3 - -7) - (3 + -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1656259*-0.6.\nAnswer: 993755.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -273 - -4093\/15. Let n = 1.3 + -3.3. Which is the nearest to n? (a) 3 (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 9 = -5. Let q be 2\/7 + (-4)\/p. Let g be (q - (-2)\/(-4))*-2. Put 3, g, 5 in descending order.\nAnswer: 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 3*u - 8*u + 15, -b - 5 = -2*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3014 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*a*b*s**2 + a*b*w + 4*a*s**3 + 213*a*s*w - 2*a*w - 626*b*s**3*w + 3*b*s**2 - 35*s**3*w - s**3 - 33*s wrt s.\nAnswer: 24*a - 3756*b*w - 210*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655423?\nAnswer: 163, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11797792*d. Let a(o) = 14*o**2. Calculate s(a(r)).\nAnswer: -165169088*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**5\/450 + 11*z**4\/180 + 145*z**2\/2 - 65*z. Let o(t) be the first derivative of g(t). Determine x so that o(x) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*r - 19. Suppose -4*z - r - 9 = w, 5*z = -5*w - 5. Let b = -3 + 23. Calculate the greatest common factor of w and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51823*r + 805 = 51708*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 11222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + -8. Let p be (v\/(-39))\/(2\/(-27)). Let h(n) = 5*n - n + 3*n. Let c(l) = -3*l. Calculate p*c(s) - 4*h(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 + 6)*16\/(-40). Let a = 5 + 2. Sort -2\/3, s, a in descending order.\nAnswer: a, s, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -96, -192, -290, -390, -492, -596?\n\"Answer: -x**2 - 93*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010101 + 11?\nAnswer: 110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*c + 228 = 3*f, 3*f = 2*c + 157. Suppose -4*b + 4 = -16. Let s = b + 0. Calculate the greatest common divisor of s and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(1573) - (sqrt(1573) + -1*(1 + sqrt(1573)) + sqrt(1573))) + 1) + -1 + -5 + sqrt(1573)*-2 + -1)**2*-6.\nAnswer: -37806 - 792*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/1 + (10 - 14). Suppose -d = -2*l - o*l - 126, 4*l + 492 = 4*d. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64193026291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/7 + 8818*p\/7 - 391864\/7 = 0 for p.\nAnswer: -4453, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-16) - 5 - ((-198)\/(-462))\/((-7)\/98).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 20 in increasing order.\nAnswer: 2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o. Let n(j) = 195*j. What is n(m(h))?\nAnswer: 1755*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*b - 4*b = 415, -5*f - 2*b + 395 = 0. Suppose 14*k + 140 = 518. Calculate the highest common factor of f and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 + 4*c**3 + 4*c**5 + (-c**4 - 2*c**5 + c**4)*(41 + 10 + 27).\nAnswer: -152*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*q**2 - q**2 - 238*q**2 + (-6 + 0 + 0)*(0*q + 2*q**2 + 0*q).\nAnswer: -203*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 82996409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37876 times -1.9?\nAnswer: -71964.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**2*w**3 + 71147*g**2*w + 3133211*g*w**5 + w wrt w?\nAnswer: -12*g**2*w + 62664220*g*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.08, -12.7, -0.19 in decreasing order.\nAnswer: 0.08, -0.19, -1\/2, -12.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.6 and -20.4.\nAnswer: -53.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from wwwddxxxxdxxddxdxd?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 900 - 900.34. Which is the second biggest value? (a) 3\/2 (b) -0.2 (c) -4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5973, 6033, 6111, 6201, 6297?\nAnswer: 6393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -669193 < -669192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 555089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 70 (b) -3\/4 (c) 167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35270026 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 - -478\/7. What is the third biggest value in d, -6, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 6*n**2 - 6*n - 7. Let z = 18 - 23. Let y be c(z). Let b be ((-10)\/(-30))\/(y\/(-12)). Solve -v + 0*v - 3*i = -19, -b*i = -4*v + 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -3*h**5\/40 - 167*h**4\/16 + 257*h**3\/8 + 255*h**2\/4 + 435*h. Let c(g) = 0. What is g?\nAnswer: -85, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**2 - 124*x - 1908. What is f(-17)?\nAnswer: -956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 1, y: 8, z: 2, g: 3, e: 3}. What is prob of picking 1 z and 1 g?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 - 101. Let l = 0.355 + 0.145. Which is the third biggest value? (a) l (b) -12\/19 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -83353, -83404, -83511, -83692, -83965, -84348, -84859?\n\"Answer: -3*v**3 - 10*v**2 - 83340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, -0.3, 0.2, 4.82, 0.06 in descending order.\nAnswer: 11, 4.82, 3, 0.2, 0.06, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (80\/(-5 - -13) - 9)*0. Solve -3*f = -n - 1 - 1, 5*n + 4*f - 28 = q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 4, f: 1, i: 2, c: 3, o: 2}. What is prob of sequence cc?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t - 4*t - t)*(2*t**3 + 2 - 2 + (-t**2 + t**2 + t**3)*(0 - 1 + 2)) as i*t + f*t**3 + b*t**2 + p*t**4 + u and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36950)\/44340*72\/830?\nAnswer: -6\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110002011122 - -220?\nAnswer: 110002012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3\/7, 1\/2, -1 in ascending order.\nAnswer: -1, 0.3, 3\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6189627749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, a: 1, w: 1, p: 1, k: 2}. Give prob of sequence pakw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -568227, -1136395, -1704563?\n\"Answer: -568168*g - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -553*t**3 + 321*t**2 - 5*t - 10. Let o(d) = 10*d**3 + d**2 - d - 2. Let n(v) = -15*o(v) + 3*u(v). Find the third derivative of n(s) wrt s.\nAnswer: -10854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2028, 8067, 18132, 32223?\n\"Answer: 2013*s**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 26798*v - 3216*v + 4169*v as n*v + i and give n.\nAnswer: 27751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 2\/7, -2\/23, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 120 - (4 - 0)\/(-2). Let j = 124 - c. Let b(u) = 2*u - 3. What is b(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 p, and 1 l when three letters picked without replacement from {p: 4, u: 4, y: 2, l: 6, o: 1}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 4. Let a(s) = -10*s - 12. Give -2*a(b) - 7*q(b).\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2 + 0*h**2 - h + 2 + 3. Let x(f) = 3*f**2 + f - 4. Suppose 2*z + 4*v - 11 = -1, 4 = 2*v. Let j be -5 - -1 - (z - 0). Calculate j*r(c) - 6*x(c).\nAnswer: 2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x. Let j(n) = -3*n + 1. Suppose -10*g + 190 = 28*g. Suppose 4*f + 6 = -f + d, -d = -1. Determine f*j(l) + g*i(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -2*1\/(-2) + 1. Solve 3*j - 3 = -r*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6684 + -0.4684. Let f be (2\/(-5))\/((-1)\/(-5)). Let g = -8 - f. What is the nearest to 0 in b, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert be7e76 (base 15) to base 8.\nAnswer: 42527371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 6 (c) 3\/8 (d) -3 (e) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2368, -2240, -1978, -1588, -1076, -448, 290, 1132?\n\"Answer: -b**3 + 73*b**2 - 84*b - 2356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.4 (c) -10 (d) -5 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntyonyyy. What is prob of sequence no?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 8*d**2 - 3*d - 2. What is the remainder when 131 is divided by t(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 70884612, 141769216, 212653818, 283538418, 354423016, 425307612, 496192206?\n\"Answer: -y**2 + 70884607*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.45492 and 8.4.\nAnswer: 3.821328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -830*c + 158*c - 611*c - 10 + 189*c.\nAnswer: -1094*c - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4082583.\nAnswer: 3, 1360861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.997 - -9.167. Let t = v - 0.17. Which is the second biggest value? (a) 0.3 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67.99 + -68.1. Sort 1.2, x, 0.5.\nAnswer: x, 0.5, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03607 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -99908, -99921, -99934, -99947?\n\"Answer: -13*a - 99895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {j: 2, f: 3, o: 1, y: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 15*q + 4 + 1 - 6. Suppose 0 = 3*x + 2*x - 25. List the prime factors of y(x).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28884 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z = 25*z - 582. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-2\/9)*g*g**22 assuming g is positive.\nAnswer: g**(214\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 341a (base 12) in base 5?\nAnswer: 141112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 9. Let r be y(-7). Suppose r*p + 0*p - 4 = 0. Let o(l) = -2*l + l**3 + l + 4*l + 4*l**p. Calculate o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, q: 3, v: 3, j: 3}. Give prob of picking 2 q and 2 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = 5*h + 228, 2*d + 0*d + 17 + 37 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 + -124. Let u(p) = -41*p**4 - p**2 - 3. Let k(x) = -40*x**4 - x**2 - 3. Let z(j) = r*u(j) + 6*k(j). Find the third derivative of z(q) wrt q.\nAnswer: -840*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3237756876?\nAnswer: 2, 3, 2083, 43177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:18 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h + 14. Let z be t(-6). Suppose -4*k - 10 = -0*y + z*y, -k - 15 = 3*y. Solve -3*a + 3*f = -9, a - 4*f = -k*a + 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**3 + 40*v**2 + 188*v + 43. Calculate the least common multiple of 980 and l(17).\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -302 - -13421741?\nAnswer: 13421437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13809927.6 rounded to the nearest 10000?\nAnswer: -13810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7212 and 1172847894.\nAnswer: 3606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5005 + -5537. Is s less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -0.3, -0.23582 in ascending order.\nAnswer: -5, -0.3, -0.23582, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 212804 (base 15) to base 6\nAnswer: 53453121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**4*d + 3411*b**3 - 19*b**2 + 2*d + 2482129 wrt b?\nAnswer: -4*b**3*d + 10233*b**2 - 38*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -8080356.\nAnswer: -1\/2693452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 5*z + z)*(4*z**2 - 4*z**2 + 2*z**2) + (2*z**3 - 3*z**3 + 3*z**3)*(-3 + 3 - 1) + 9*z**3 + z**3 + 3*z**3 + 6 - 6 + z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/((-18)\/3)*5\/(-15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1124\/61 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 185*v + 5528. What are the prime factors of f(73)?\nAnswer: 7, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 680 and 844560?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 84\/5, -0.5 in ascending order.\nAnswer: -4, -0.5, 84\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1933866 divided by -3?\nAnswer: 644622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - -21. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o = -22*o + 145. Suppose -w = -3*y + 27, -3*w + o + 2 = 5*y. Let j(k) = -k**3 + 9*k**2 - 7*k - 1. Determine j(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/9, -0.9, 4\/3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, y: 1, c: 1, d: 3}. What is prob of picking 1 y and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.017 + -5.117. Let y = 5 + l. What is the second biggest value in 0.3, y, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -208 + 362. Let f be 177\/7 - 44\/u. What is the greatest common divisor of 200 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 46?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -10. Suppose -m - 8 = -3*j, -3*j = u*m - m - 4. Let t(n) = -n**3 - 2*n**2 - 2*n - 2. Let r be t(m). Solve -r*v - 6 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 12 = -2*f. Suppose -f*y = -3*y. What is the third smallest value in -0.4, y, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k + 80. Let p be (2\/(-8))\/((-11)\/(-836)). Let n be c(p). Solve 34 = -n*y + 30 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - i + 3 = 4, -4*k - 5 = 5*i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 2*x + 31. Calculate q(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2744 and 1652.\nAnswer: 161896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-2))\/(70\/(-280)))\/(1\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10 + (-1881)\/(-95). Let y = -38 + o. Let h be 300\/14 + y\/42. What is the highest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**5\/120 - 25*n**4\/48 + 2*n**3 - n**2 + 206. Factor i(p).\nAnswer: (p - 24)*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63590 + 63590 + 32553*h**2 to m + z*h + b*h**2 and give b.\nAnswer: 32553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1997316 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -22621 divided by -6449?\nAnswer: 22621\/6449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h = -16*h - 19915. Let l be (4\/4 + 3)*h. Suppose -2*v = 3*p - l, -4*v = -p + 7172 - 1866. What is p rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k**2. Let r(l) = -91*l**2 + 27. Let v(h) = -272*h**2 + 72. Let w(u) = -8*r(u) + 3*v(u). Give w(n(t)).\nAnswer: -5632*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) -2 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 - i + 4. Let o be u(-3). Let d = 1 - o. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9\/43 - -70\/129. Is j > -1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**2 + 14*w + 24 = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(567) + (sqrt(567) - (sqrt(567) + sqrt(567)*1))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-8) - 1\/(-2). Suppose f = 90*w - 86*w - 688. Is 43 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*k - 635, -j - 16*k = -14*k - 121. Which is smaller: j or 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/8 - 9\/8. Which is the nearest to 1? (a) w (b) 0 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62399, -62415, -62455, -62531, -62655?\nAnswer: -62839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-6)\/(-5))\/((-9)\/(-375)) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iiiizzzzziizzzzi?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 + 77. Solve -4*i - 20 = -4*k, a*k - 4*i - 5 = 6*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10514 = 499*l + 2530 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-2296\nAnswer: -229.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 12 - 12 + 78*o - 13 + 54 in the form w*o + v and give w.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 132418?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 4*x**2 - 5*x + 67. List the prime factors of n(-9).\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5812\/17 + 342. Let i = -0.4 + 4.4. Let q = 4.2 - i. Which is the third biggest value? (a) q (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**5\/4 - 41*w**4\/2 + 112*w**3 + 539*w**2\/2 - 4671*w\/4 - 1305 = 0.\nAnswer: -87, -3, -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -778 (base 12) in base 10?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 140018.\nAnswer: 140018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*m**2 + 8028985*a*m - 203941857*a + 4*m**2 + 3 wrt m?\nAnswer: 4*a*m + 8028985*a + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h**2 + 0*h - 2*h - 4*h**2 + 5*h**2 as f + w*h**2 + l*h and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/16 equal to -0.126455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 185, -270, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18225 and 77707755?\nAnswer: 3645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 5, 2\/7, 0, -3\/10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, r: 7}. What is prob of picking 2 y?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 (base 15) in base 13?\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -514*f + 3087. What is i(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 7*s**2 + 5*s + 6. Let h be q(6). Let j = h + 1\/4. Which is the nearest to j? (a) 3 (b) 7\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*t - 27540*t**2 + t - 43*t**3 + 13770*t**2 + 13769*t**2 - 4*t to the form u*t + z*t**2 + v*t**3 + m and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -6\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 16 = 2*l. Solve 2*v = 6*v + l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:55 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2592204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -45*h**2 - 4*h - 4. Let t(m) = -47*m**2 - 6*m - 5. Calculate -3*n(p) + 2*t(p).\nAnswer: 41*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1576 divide 16545326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2 - 39*d + 23. Let z be n(-10). Suppose 15*g - 3*t - 17 = z*g, 0 = 3*g + 2*t - 6. What is the smallest common multiple of g and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**6 + 717*o**3 + o**2 + 22165?\nAnswer: -240*o**3 + 4302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*u - 8557 - 3927 - 15 = 301 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yssbaakaya?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 88.6, -0.05, 0.3, 0.42?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59902743?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (4 - (7 + -33 - -8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -298 (base 11) to base 10\nAnswer: -349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027859 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 1, -3 in decreasing order.\nAnswer: 1, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/19 (b) 5 (c) -1 (d) 4\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -1, -2, -23 in ascending order.\nAnswer: -23, -2, -1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-538)\/(-132) - (-2)\/(-4). Let d = -5843\/19 + 1558835\/5016. Let q = k - d. Find the common denominator of 93\/2 and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.1285 minutes in seconds?\nAnswer: 23827.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a**3 + a**2 + 2*a + 10. Let d be r(0). Suppose -d = -18*j + 80. Solve z + 4*c + 4 = -j, 0 = 5*c + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/8 - (130\/(-40) - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/(-8)*4*7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 88 = 12. Calculate the lowest common multiple of k and (88\/14)\/(1 + (-20)\/28).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245 + -256 - (-2 - (-2 + 22))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 + 871*f + 92745. Determine q(-250).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -435*k + 478. Is f(-29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 15 = 7*s - 4*s, 0 = -4*s + 4*o - 4. Suppose 5*y - 7*y + 158 = 5*u, s*u - 170 = -2*y. Calculate the remainder when y is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j*p*t**2 + 2*j*t**4 - 2*j*t**2 - j - 15*p*t**3 + 3*p - 1515*t**4 + 219*t wrt t?\nAnswer: 48*j*t - 90*p - 36360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 2*q - 4. Suppose -3*j + 4*v + 28 = -j, 0 = 3*j - v - 17. Let u(a) = 5*a - 4. What is the remainder when f(8) is divided by u(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -27*m - 15. Let a be q(19). Find the common denominator of 6 - 9320\/a - 4\/(-22) and 89\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1383325320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12286*t + 105 = 12301*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1129*q**3 + 42928 + 446*q**3 - 41639 wrt q.\nAnswer: 4725*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36025 and 825.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + b + 9. Suppose n - 26 = -0*n. Let g be (-2)\/7 - n\/(-91). Calculate k(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 2:30 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 - 3 + 3)*(-2 + 2 + 2 + 1 + 1 - 1 + (1 + 1 + 0)*(6 - 2 - 2)) as h*g + d*g**2 + q and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108758, -108772, -108784, -108794, -108802, -108808?\nAnswer: -108812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-66)\/21 + 3)*3. Suppose -6 = -4*k + k. Let y = 1 - k. What is the nearest to 0.1 in y, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 - -210100?\nAnswer: 211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 + -0.1. Let k = -1358 + 1361. Put 4, k, h in ascending order.\nAnswer: h, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*f - 38448 = -2177*f + 44259 for f.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 114224289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 207 - 405\/2. Let k = -0.303 - -7.733. Let h = -9.43 + k. What is the second smallest value in h, m, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23940413 + -33?\nAnswer: -23940446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -71 in ascending order.\nAnswer: -71, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -64*6\/(-72)*-3*-1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4832 and 25368.\nAnswer: 101472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3278, -3277, -3274, -3269?\n\"Answer: p**2 - 2*p - 3277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 235 - 98. What is the derivative of -a - 185*h + 73*h - 58 wrt h?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 6*i**2 - 3*i - 5. Let w be (2\/(-6))\/((-3)\/45). Suppose q = -w*q + 36. Let d(r) = -4*r + 19. Let v be d(q). What is y(v)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 9*h**2 + 2*h - 11. Let f be u(9). Suppose 384*q - 375*q = 0. Suppose 7*l - f - 7 = q. Calculate the highest common factor of 14 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3993 is divided by 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 - -2 - (-2 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 3855*z**2 + 549810*z.\nAnswer: -5*z*(z - 894)*(z + 123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 35. Let l be m(14). Suppose l*z = 4*z + 105. What is the remainder when z is divided by 45*(-1)\/((-10)\/4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 7*p - 3*x - 31, 0 = -2*p + x + 42. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-27)*-21)\/(456\/(-684))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9637124?\nAnswer: 2, 7, 49169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -41 divided by -11\nAnswer: 41\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3015208.\nAnswer: 2, 7, 23, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1518*b*v**4 - 52364*b*v + 7*v**4 wrt v.\nAnswer: 18216*b*v**2 + 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131 by -8.\nAnswer: -131\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 43*j + 245. Let v be u(-5). What is the highest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.84 - 7.84. What is the fourth biggest value in x, -2, -10, -1\/9?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 7\/2, -0.3 in descending order.\nAnswer: 7\/2, 3, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (606 - 752 - 1187 - 1537 - 4478)*(-5*k + 3*k + k).\nAnswer: 7348*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9b24 - -24?\nAnswer: 9b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*(((b*((b\/(((b*b**(-1)\/b)\/b)\/b*b))\/b)\/b)\/b)\/b)\/b*b*b*b\/b**(-11)*b assuming b is positive.\nAnswer: b**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-18)*1*-2*(-3819)\/1083*19.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 151*f**4 - 2*f**3 + 309*f**2. Let h(i) = -2*i**4 + 2*i**3 + i**2. Let n(j) = h(j) + z(j). What is the third derivative of n(u) wrt u?\nAnswer: 3576*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -47938423, -95876848, -143815273, -191753698, -239692123, -287630548?\n\"Answer: -47938425*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -775\/3 or -259?\nAnswer: -775\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.97 - -16.2. Let m = f - 1. Let d = m + 0.07. Sort 4, 0, d in decreasing order.\nAnswer: 4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29128, -57238, -85348, -113458, -141568, -169678?\n\"Answer: -28110*h - 1018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 11 = -2*o - 0, o = 2*l - 13. Suppose z + 575 = l*d - 0*z, -z + 337 = 3*d. What are the prime factors of d?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*n - 994 + 994 as k + d*n and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 23 = 4*r, -3*p + 0*p + 2*r = -13. Which is the closest to 0.1? (a) p (b) 4 (c) -1 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-6)*40\/(-35).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**5\/5 - 56*b**4\/5 - 12*b**3 + 184*b**2 + 1024*b\/5 - 4224\/5 = 0. What is b?\nAnswer: -11, -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {n: 4, p: 1, i: 8}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1611403 and 345.\nAnswer: 24171045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 2, -26, 6, 0.1, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1454.75228 rounded to the nearest 10?\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3018.\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, x: 1, u: 2, a: 2, n: 2}. Give prob of sequence wn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 961*d - 850*d + 2249 + 4411 = 0 for d.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iccy when four letters picked without replacement from {g: 5, y: 6, i: 1, c: 3}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -11. Suppose -2*h - 3*h - 5*f = r, 0 = 2*h + f + 1. Suppose -2*x = h*x - 12, 138 = 3*v + 5*x. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.76 rounded to zero decimal places?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9717178 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15722 - 94331\/6. What is the second smallest value in -31, -0.2, s, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - (-288)\/(-56))*7. Find the third derivative of 244*j**2 - 6*j**6 - 32*j**s - j**4 - 30*j**5 + 30*j**5 - 13*j**6 wrt j.\nAnswer: -6120*j**3 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -4\/3*m**3 + 104*m - 133 + 22*m**2. Factor u(g).\nAnswer: -4*(g - 13)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 - 50 = -2*b. Let f = b + -488\/5. Let t be (-9)\/15 - 1\/5. Sort -14, t, f.\nAnswer: -14, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 2:59 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/(-91)*4*14\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011111111100101 (base 2) in base 16?\nAnswer: 1bfe5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 5*r**2 - 5*r + 5. Let b(f) be the third derivative of f**5\/20 - f**4\/8 + f**3\/2 - 5*f**2. What is 5*b(z) - 3*l(z)?\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 1. Let o(n) be the second derivative of 2*n**3 + 11*n**2\/2 - 4*n. Give 2*o(m) + 22*p(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 14. Suppose 25*k = 18*k - 18 + 172. What is the lowest common multiple of t and k?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 29. Let n = -4 + 6. Is n\/t - (-2153)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)*q**(-1\/5))**(-4)\/((q**0)**(-21)\/(q**(-1\/4)*q\/(q\/q**6))) assuming q is positive.\nAnswer: q**(691\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/2 - 51*r + 105\/2.\nAnswer: -3*(r - 1)*(r + 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 364\/130 - (4\/(-5))\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/309250 and -97\/22.\nAnswer: 3401750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 17 = 2*h - 2*c, -18 = -4*h + 2*c. Suppose 5*i + 23*j - 24*j = 25, 0 = h*i + 4*j - 50. Solve 4*v + i = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/7876, -2 in decreasing order.\nAnswer: 1\/7876, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 186 = -5*f + 195, -150 = -2*f - 2*m. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113 + 1324 - 502)*(0*u - 3*u - u).\nAnswer: -3740*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3838, 9, -64, 4 in increasing order.\nAnswer: -3838, -64, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1056 = -5*g + 13*g. Suppose -3*s + 153 = 3*r - r, g = 2*r - 4*s. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 399 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 44*v - 1 - 11 = 40*v, -3*v = 49*n - 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m - 7. Let t(h) = 5*h - 8. Let a = 20 - 14. Let o(x) = 18*x - 131. Let z be o(7). Determine a*w(d) + z*t(d).\nAnswer: 5*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a gram in milligrams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.45 (b) -681 (c) 2\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -11.03. Let g = 1086556\/7281 - 23\/2427. Let m = 149 - g. Which is smaller: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2285.1237 to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3098 = -2*y - u - 3094, 5*u - 38 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 13*d**2 + 18*d + 60. Let a be m(-14). Suppose a*g - 45 = 471. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002721425 to 7 decimal places.\nAnswer: -0.0002721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 164*m**2 + m. Let x(d) = -169*d**2 - 2*d. Give -3*q(u) - 2*x(u).\nAnswer: -154*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gozrvo. Give prob of sequence vggv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Express 7*t**2 - t + 0*t**2 - t**2 - t**2 as k + u*t**2 + g*t and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -75. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - h**2 - 1. Let q(n) = -50*n**3 - 75*n**2 - 25. Let a(g) = 75*b(g) - q(g). Differentiate a(p) with respect to p.\nAnswer: 375*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -20.6. Let m = 5 + -4.7. Let t = 7.371 - 2.371. Which is the closest to -1\/2? (a) w (b) t (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2620743109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 - 776*n**3 - 37620*n**2 + 3104*n + 150544.\nAnswer: -4*(n - 2)*(n + 2)*(n + 97)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12107, -10081, -8041, -5981, -3895, -1777, 379, 2579?\nAnswer: 4829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 0. What is the remainder when ((-240)\/(-5))\/(-8) - -15 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-9)\/6*-2. Let q(z) = -2*z - 1. Let t(r) = 3*r + 2. Let x(p) = m*t(p) - 5*q(p). Let c be x(4). Solve 5*y - 5*i + i = 7, 0 = 2*y - c*i - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17507 and 45018?\nAnswer: 315126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1088)*2 - (0 + sqrt(1088)*-2)) + 3 + 5*(-1*sqrt(1088) - sqrt(1088)) + -4 + sqrt(1088) + -5.\nAnswer: -40*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 38*c**2 + 193*c + 67. Let p be k(32). What is the greatest common divisor of p and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104495003 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4040099*d**4 + 2997388.\nAnswer: -16160396*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50328191 and 607?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11068452007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 2*p + 2*p)*(863 + 702 + 3002 - 468).\nAnswer: -8198*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1750 and 686?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -12443 less than -37327\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + (12 - -30) + 2 + (-5 - -3) + -63.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11554 is divided by 375.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.2 + 7.6. Let l = g - 0.9. Let w = -4.5 + l. Which is the nearest to w? (a) 2\/15 (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 0.08 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + m = -0*m + 27, -2*g - 4*m + 18 = 0. Suppose g*v - 49 = -19. Suppose 0 = v*h - 5*h - 3919. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/18*18\/27*6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + 2*b**3 - 3*b**3 + (0*b**3 - 3*b**3 + b**3)*(-1 + 5 - 2) - 3*b + 3*b**3 + 3*b.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 6:09 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10019 + 299 = 4*n - 139*n for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -671*h**3 + 15*h**2 - 109*h + 809. Let w be d(13). What is w rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -378905, -378798, -378691, -378584?\nAnswer: -378477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2107908499 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 3\/7 (b) 3 (c) -2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4568221*k**6 + 3*k**2 + 25178?\nAnswer: 548186520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from keiac. Give prob of sequence ikc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17247 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -567, 20, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - 8360\/247 - (-1 - (-8)\/52))*-71.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + 79364?\nAnswer: 79370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 5*f - f)*(-10*f**2 + 11*f**2 + 7*f**2) + 6*f**3 + 2 - 4 + 4.\nAnswer: -34*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.84 + -1.03. Let y = -0.62 + 0.53. Let u = c - y. Which is smaller: 1\/3 or u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 6:19 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/7*1\/(-35))\/(27\/(-126))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.90765919 + 450415?\nAnswer: 450414.09234081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 87 = -117. Calculate the remainder when 303 is divided by c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -223 + 39. Let t = -145 - a. Let j(r) = -2*r**2 + 15*r + 6. Calculate the remainder when t is divided by j(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 8*v**2 - 2*v + 1. Suppose 9*p = 11*p - 12. Is 32 a factor of c(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/3)\/((-8)\/(-12)). Let u be -2 + (6 - (-2)\/j). Suppose -10 = -4*z + 2, 7*h = 4*z + 9. Solve -h*r = -r + u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*1\/5*5. Let j be 12\/(-8)*8\/u. What is the smallest value in 0, j, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-142)\/(-46) + 0. Let b be (18*(-24)\/(-108))\/(6 - -1). Let q = 30.1 - 30. What is the smallest value in b, s, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*j - 2 + 3, 2*j = 2*a - 6. Let w be (-1)\/a + (-1)\/(-4). Let i = 0.1 - -0.9. Which is greater: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2 + 1 - 8 + 2 - 4*x. Let j(n) = -3*n - 6. Let r be 4\/(-8) - (-11)\/2. Give r*j(s) - 4*c(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-159)\/24 - (247\/(-13) + 12)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387660799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -17. Suppose 2*g + 0*g - i*k - 4 = 0, -5*k - 5 = -4*g. Solve -o - 2 + 7 = g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4221 = 2217*v + 65926 + 16316 for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 10*w + 56. Let u be c(4). What is the greatest common factor of u and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*n + 11 - 50, -5*a = -5*n - 55. Let t be (-9)\/a*2 - -8. Suppose 0*s = -t*s + 40. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 4*l - 52. Calculate the remainder when 51 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 59420735\nAnswer: 1\/11884147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/8 + -1 + -5. Let y = q - -8. Suppose 0 = -6*u + y*u + 16. Calculate the remainder when 45 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.19 and -1.13228.\nAnswer: 0.2151332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-353)\/140 + 120\/(-1260) and 127\/1960?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(200)*4)\/sqrt(8))\/((-5*sqrt(360)\/sqrt(6))\/sqrt(12)))**2.\nAnswer: 64\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*h**3*z**3 + h**3 + 172*h*z**6 - 6*h*z**2 - 13*z wrt z.\nAnswer: 48*h**3 + 20640*h*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7*t - 30 = 5*x, -10 = 5*x. Suppose 7 = 5*q - 13, -3*q - t = -2*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12.6, 5, 1 in increasing order.\nAnswer: -12.6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + 1*(-4 + 3*-2*sqrt(153) + ((sqrt(153) + -1 + sqrt(153))*-1 - ((2*sqrt(153) - sqrt(153)) + sqrt(153))*-6)))**2.\nAnswer: -120*sqrt(17) + 2468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3794130 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7753*i - 104 = -7745*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -287 (base 9) to base 13.\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by 19?\nAnswer: 117\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001819 to 5 dps.\nAnswer: 0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 53 + 38 - 5*f + 35 - 89. Let h be g(6). Solve -h + 23 = -16*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 803 - 1597 + 799 + m**3. Let i(k) = 3. Calculate -5*i(f) + 3*x(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 8*g**7\/21 + g**6\/60 - 23*g**5\/10 + 304*g**2. What is the third derivative of w(h) wrt h?\nAnswer: 1920*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 + 162*t + 5. Let j be h(-54). Solve 0 = 4*g - g + j*w, 5 = -2*g - 5*w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l**2 - 206*l + 324. Determine y(-53).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -16. Solve -3 = z - l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.35 to the nearest integer.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 5*b - 2, -d + 12 = -2*d + 4*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1233?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-70))\/(72\/180)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3 + (-62)\/(-1320). Let s = o + 2\/55. Let k(y) = -310*y - 48980. Let n be k(-158). Which is the closest to n? (a) s (b) 2\/7 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(330\/(-36)) + (-63)\/7 + 17\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**2. Let k be j(1). Let r(t) = -2*t + 16. Calculate the remainder when r(k) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/100 - -4\/25. Let v(a) be the second derivative of 0*a**4 - z*a**5 + 0*a**3 - 1\/2*a**2 - a + 0. Find the first derivative of v(i) wrt i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1 = 6. Let m = -2 - z. Let b be 2 - m*(-2 + 3). Solve b*a + 4 = 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/40*(-10)\/4. What is the nearest to 4 in -9, 2\/3, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -45. Suppose -7*c - 4 = k. Let l be 5\/(-10) + c\/(-12). Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*q = 0, 4*d - 6 = 6*d - 4*q. Which is the closest to d? (a) 0 (b) -8 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -0.3 (c) -3\/2 (d) 0.04 (e) 375\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - 31. What is the highest common divisor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -6 - (-8 - -1 - -8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**2 - 1. Let z be p(1). Suppose z*v + s = -45, -4*v + s - 60 = 2*s. Let w be ((-2)\/12)\/(v\/18). Which is the closest to 0.1? (a) -5 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3276 bigger than -3276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210\/(-9)*(4 + (-104)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-18)\/(-282)))\/(((-1690)\/52)\/65).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 2. Let y be i(0). Let d = y + 3. Let a = d + -1. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 13*d + 3. Let y be u(9). Let b be y\/(-1 + (-4)\/(-8)). Let f = -10 + b. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(5\/3))\/(a*a**(1\/2)*a)*a**(-1)*a**(-4)*((a\/(a*a**(-1)*a))**(-4\/3))**16 assuming a is positive.\nAnswer: a**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-1 - -1) + -23. Let o = k + 35. What is the remainder when 39 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 12128?\nAnswer: 133408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgkj. What is prob of sequence jg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-368)\/(-14) + (-8)\/28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15 - (15\/3 + -2). List the prime factors of i - (-3)\/((-3)\/(-2)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*t - 108. What is the highest common factor of t and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, s: 3}. What is prob of sequence os?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 128, 281, 448, 635, 848, 1093, 1376, 1703?\n\"Answer: l**3 + l**2 + 143*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -206 - -205. Let r = -30917\/6013 - 1\/859. Let c = r + 5. Sort n, -3\/5, 4\/5, c in decreasing order.\nAnswer: 4\/5, c, -3\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4391 = -5*j, 9*w = 8*w - 4*j + 1124. Calculate the remainder when w is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115798\/10 - 572\/715 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611.3993l in millilitres?\nAnswer: 611399.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 + -102. Find m, given that 10\/7*m**s + 0 - 6\/7*m**3 - 4\/7*m = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*u + 3*j + 38 - 167 = 0, 2*j = -5*u - 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - a**2)*(0*a - 4*a + 2*a) - 2*a + 2*a + 2*a**3 + (-5*a + 2*a + a)*(2*a + 0*a + 0*a)*(2*a + 4*a - a).\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y. Let r(p) = 15*p + 4. Suppose 6 = 4*u - 10. Let o(g) = 13*g + 3. Let k(j) = u*r(j) - 5*o(j). Give 2*k(l) + 9*n(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + (sqrt(2448) - 1*sqrt(2448)))*-2)**2 + sqrt(2448) + ((sqrt(2448) + sqrt(2448)*2)*6)**2.\nAnswer: 12*sqrt(17) + 802944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.588 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5385622 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -780.7 - -781. What is the nearest to 3 in -0.5, v, -5.7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16.565 and -184.\nAnswer: 3047.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-1 - (-2)\/3). Let a = z - -20. Solve -2*k - a*k + 16 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(84)\/sqrt(7)))\/(-2*1*sqrt(1152)).\nAnswer: -sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-6)*x)*x\/x**(-7))**(-19\/5)*((x*x*x**(-3))\/(x**(-3)\/x))\/(x**3\/x**(-1\/8)) assuming x is positive.\nAnswer: x**(-2133\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 30 = 5*l. Let n = 12 - l. Calculate the smallest common multiple of n and (2\/6)\/((-4)\/(-48)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 4a?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwwnwwwwnnwwwww. Give prob of sequence wpn.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(3) + sqrt(13) + 5 - (sqrt(13) + (sqrt(832) - 1*sqrt(832))))**2.\nAnswer: 10*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -292.81 + 295.81. Which is the closest to -9? (a) 0.1 (b) 2\/7 (c) q (d) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 66?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 6*a**2 - 2*a - 7. Let y be g(-6). Let r = y + -3. Suppose 10 = r*j + 3*j. Solve 5*n - 4*v + 28 = 0, j*v = -0*n - 5*n - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, 76, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 2*u + 3*u)*(-7 - 9 - 6).\nAnswer: -66*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 723800 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56402.9 grams to tonnes.\nAnswer: 0.0564029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*((-4 + 5 + 7)*(3 - 2 - 2) - 2 + 0 + 4)*(5*j**3 + 0*j**3 - 4*j**3).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -22. Let r = x - -6.9. What is the second biggest value in -0.2, 1\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - 174\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x. Let s(b) = -12*b + 51 - 23 + 0 - 1. Calculate s(i(g)).\nAnswer: -12*g + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3033 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 2:43 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6)*((-1428)\/(-816) + (-2)\/1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from qrqdmm.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58\/(-12) - (-3 + -2))*(-77 - -2).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:37 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, -162, -496, -1118, -2124, -3610, -5672, -8406?\n\"Answer: -16*y**3 - 30*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*p - 84 = -18*p - 27*p. Let g(o) = -7*o**3 - 4*o**2 - 42*o. Let w(l) = 4*l**3 + 2*l**2 + 21*l. Give p*g(b) - 11*w(b).\nAnswer: -2*b**3 + 2*b**2 + 21*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) 0.1 (b) -22\/43 (c) -0.2 (d) -0.4 (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 f when three letters picked without replacement from {y: 4, i: 5, f: 5}?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**5\/15 + 10012*l**2 - 4. Let o(h) = 18*h**2 - h + h. What is o(d(x))?\nAnswer: 288*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -3*b - 51, -7 = -4*b - q - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -15 + 11 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -4. Suppose 0 = i - l - 3, -3*l = 2*i - 4*l - 8. Let r(f) = -f + 4. Let s be r(2). Solve -i = s*h - d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006 take away 21132.33615?\nAnswer: -20126.33615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -896572*f**3*h**3*m**2 + 2*f**3*h**3*m + 894*f**3*h**3 - 26*f**2*h**2*m + 2*f*h*m - h**3*m**2 + h**3 wrt m.\nAnswer: -1793144*f**3*h**3 - 2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.123610858 + -0.141225.\nAnswer: 0.982385858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -360 + 364.93. Let t = p - -0.07. Let z = -50 + 45. Which is the nearest to -1? (a) z (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 4*y**2 + 2*y + 5. Let f be j(-4). Let m = -749 + 751. Let k(x) = 133*x**3 - 132*x**3 - 3*x**2 - 4 + 1 + 3*x**2 - x + 5*x**m. Calculate k(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35*y**3 + 9*y**3 - 75*y**3)*(-3 + 3 + y) - y**4 - 2*y**3 - y**4 + 0*y**3 to f*y**2 + i*y**4 + m*y + l + b*y**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47378657*k**3 - 7206311*k - 3.\nAnswer: -284271942*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 12 = -2*l, 0 = -2*l - 2*t - 14 - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwywywwwwww. Give prob of sequence wy.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6*v + 56 = 3*v, 2*w + 5*v = 10. Let l = 4 - w. Let y be 5\/l*(-11 + 5). Solve 0 = y*r - 8 + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 129399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x = -16*x - 128 + 303 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -204 and -45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*c**3 - 3*c**4 - 3 + 0 + 2 as x*c**3 + w*c + i*c**2 + o + q*c**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -32449, -129794, -292037, -519178, -811217, -1168154, -1589989?\n\"Answer: -32449*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/15*20\/4. Solve -n - p*n + 20 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1751404823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.4 + -2.95. Let g = 0.25 + j. Let q = -183\/4 + 46. Sort g, q, -3 in decreasing order.\nAnswer: q, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166214, -332229, -498244, -664259?\nAnswer: -830274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-380)\/(-8)*(15\/3 + 5) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264 + 639 = 174*l - 1602 - 285 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 46*l - 85. Let x be r(17). What is the units digit of (-108)\/(-12) + -1 + x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 9*l**2 - 2*l + 4. Let a be v(9). What is the units digit of (-4)\/(-14) + (-10)\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.11 - 0.11. Suppose -2*c + 12 = -5*c. Sort l, c, 5, -2\/27 in descending order.\nAnswer: 5, l, -2\/27, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -3, 6, 3, 2, 105, -40 in decreasing order.\nAnswer: 105, 6, 3, 2, -3, -40, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18653.32421 rounded to the nearest ten?\nAnswer: -18650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1048 + 33 = 7548*x - 20805 - 46046 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*g**5 - g**4 + 2586700*g**3 + g**2 - 41649603?\nAnswer: 420*g**2 - 24*g + 15520200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(1\/2))**(-19))**(-39))**(-27))**(1\/50) assuming z is positive.\nAnswer: z**(-20007\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 - (-35 + 32)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(3456))\/(sqrt(144)*2 + sqrt(144) - sqrt(4)))\/((-2*sqrt(108)*-2 - sqrt(108)) + -3*(sqrt(108) + -2*sqrt(108))))**2 + 3.\nAnswer: 7805\/2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + sqrt(1216) - sqrt(1216)) - -4*(-1 + sqrt(1216)))**2.\nAnswer: -448*sqrt(19) + 19505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (4 + 13 + -5 + 6).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4\/7, 9\/5, 0.5, -5\/4, 1\/310 in descending order.\nAnswer: 9\/5, 4\/7, 0.5, 1\/310, 0, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 19*r**3 - 13*r**2 - 8*r - 3. What is the units digit of q(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - l - 7. List the prime factors of p(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 219? (a) -0.5 (b) -58\/9 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.9 (b) 1 (c) -5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1385208 divided by -159?\nAnswer: 8712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 75, 74, 73, 72, 71?\n\"Answer: -m + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -768, -1548, -2326, -3102, -3876, -4648, -5418?\n\"Answer: h**2 - 783*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**(1\/24)*n)\/n)*n**19)\/(((n*n*n*n**(3\/13)*n)\/n*n)\/n*n**22) assuming n is positive.\nAnswer: n**(-1957\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d - d)*(-9*d - d - 3 + 8*d + 5*d**2).\nAnswer: -5*d**3 + 2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4616 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1408.2284 and 0.4?\nAnswer: -563.29136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(7\/(-9)) - -2. Which is smaller: -0.3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.27 (b) 1 (c) 1\/2 (d) 19 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(6) + 5 - (0 + sqrt(175))**2) + ((sqrt(7) + sqrt(28)\/sqrt(4))**2 + 5 - 3*sqrt(28)\/sqrt(4))*2.\nAnswer: -104 - 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4349*c**4 - 22*c**3 + c**2 - 2*c - 1630872 wrt c.\nAnswer: -52188*c**2 - 132*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**6*w + 650*u**6 - 478*u**2*w - 2*u**2 wrt u.\nAnswer: -120*u**3*w + 78000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.105, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9678*x - 9676*x + 19349*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -25.5. Let r = l - 7.50043. Round r to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1992738 and 316301868?\nAnswer: 3479320548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 31.1, 2\/9, -0.06?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k = 24*k + 5, -37 = -3*b + 5*k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*t + 114 - 187*t + 100*t - 122.\nAnswer: 4*t - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*k - 7*k + 13*k)*(0*k - 2*k - 5*k)*(-3 + 0 + 1) as w*k + i*k**2 + v and give i.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 247, 451, 641, 811, 955, 1067, 1141?\n\"Answer: -c**3 - c**2 + 214*c + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(-39*(-14)\/(-28))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72412586 is divided by 677?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-6))\/(3\/(-36)). Let d be (2 + 1)*(-4)\/v. Solve d*p = p + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/4))**46 assuming d is positive.\nAnswer: d**(-115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -873 - -871. Let n be (-1978)\/483 - 1*-4. Let h = 6 + -5.7. Sort n, w, h in decreasing order.\nAnswer: h, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 568\/(-72) + (-52)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*a. Suppose 0*o - 5*o - 2 = -2*y, 2*o - 5*y + 5 = a. Let k(s) = -2*s + 18 + o*s - 17 + 3*s. Give k(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17849\/8392 + 2\/1049. Find the common denominator of m and 10\/17.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 43730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6526, 5037, 1086, -6557, -19122, -37839, -63938, -98649?\nAnswer: -143202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97408.89ml in litres?\nAnswer: 97.40889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h - 20. Calculate u(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -191*b + 1. Let f be g(-1). Suppose -3*d - s - 2*s = -f, -4*d - 5*s + 261 = 0. What are the prime factors of d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 8*j + 86. Calculate w(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2078 + 2074 - (1 + (0 - 9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (5 - 10) + 32 + (-12 - -6)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/9720 and 101\/26730.\nAnswer: 106920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*c - 0*c. Let i(r) = -r + 5. Determine i(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(36\/6)*2\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308885580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2234 + -2?\nAnswer: -2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(85\/15))\/(13 - 16)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*v - 221*v + 246 = -525*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1331008646 to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*r - 1270 = -6*m, 3*m - 770 = 5*r. Round m to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -169 by -1120626.\nAnswer: 13\/86202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0596 + -14.0596. Which is the smallest value? (a) -1\/6 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1370274 and 1667.\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 352?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 8*s**2 - 8*s - 6. Suppose -186*i + 99 = -175*i. What is a(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 47*g**3 + 5*g**2 - 29*g - 46. Determine l(-2).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -1. Let f be ((-46738)\/(-140))\/(l\/15). Let j = 1976\/7 + f. What is the common denominator of 43\/14 and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 4\/9, -1\/6?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54039\/6530 - 16\/653. Find the common denominator of b and -11\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -165009 and -1620.\nAnswer: 267314580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -10.13. Let r = 0.63 - g. Which is the closest to -1? (a) -5 (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 38*t**2 - 8 + 21*t - 5*t**2 - 9 - 4. Let m(j) = -8*j**2 - 5*j + 5. Let x = 4 - 25. Determine x*m(w) - 5*d(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwwb when four letters picked without replacement from ppppwbwpbbpppppppp?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + 102111122000?\nAnswer: 102111121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 16*k**2 - 4*k - 112. What is u(15)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 43052*d**2 + 172152*d - 516528.\nAnswer: 2*(d - 2)*(d + 6)*(d + 21522)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 124526846 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-1*(-1 - -2). Let m(b) = 5*b**2 - 1. Let f be m(1). Let a be 6\/4 - (-56)\/16. Put f, a, u in increasing order.\nAnswer: u, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (253*w - 301*w - 303*w)*(2 + 3 - 4)*(-2*w - 5*w + 0*w) to the form j + s*w + v*w**2 and give v.\nAnswer: 2457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, s: 9}. What is prob of sequence nnss?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/20 - (-161)\/28?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6099595742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 4*l + o, -o = 3*l - 0*l + 26. Let u be (-39)\/9 - 3\/l. Which is the third smallest value? (a) u (b) -1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u - 12. Let w be n(3). Let b be w\/(-2)*(-9)\/27. Suppose -b*i = i - 774. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x. Let m(j) = 9*j**2 - 15*j + 122. Let c(n) = 2*n**2 - 3*n + 1. Let q(v) = 5*c(v) - m(v). What is l(q(k))?\nAnswer: -k**2 + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r*r*r\/(r\/(r*r**(1\/2))))\/r)\/r)*r*r)\/(r*(r*r**3)\/r))\/((r**2*r)\/(r\/(r\/(r*r**3))))*((r**(-1\/2))**(30\/13))**(-49) assuming r is positive.\nAnswer: r**(1431\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*p + 849*p + 7788 = 409*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvxvvvvvxvxvvvxxxv. Give prob of picking 2 v and 2 x.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76151?\nAnswer: 271, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -142*i - 11. Calculate q(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = b. Suppose 5*p + v = -4*v + 65, -2*p + 8 = -4*v. What is the smallest common multiple of b\/(-3)*30\/(-4) and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 243167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 14*r**3 - 4*r**2 + 4*r + 2 + 1 + 11*r**3 - 5. Let j = -42 + 45. Is y(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y + 28. Let r be j(-8). Solve r = 3*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*a**4 + 0*a**3 + 1\/5*a**5 + 2\/5*a**2 - 1\/5*a.\nAnswer: a*(a - 1)**3*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 g when four letters picked without replacement from ogggggoggggo.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 328977638 divided by -83?\nAnswer: -3963586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6973887713303910053\/1461708 + -4771053940530. Let n = m - -139\/2137. Let c = n + 3\/76. Put c, 2\/3, -4\/7 in decreasing order.\nAnswer: 2\/3, c, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k**3\/17 + 6*k**2 + 214*k\/17 - 60\/17 = 0.\nAnswer: -10, -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 1 (b) -0.5 (c) 6\/5 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*f - 4*f + 13*f - f.\nAnswer: 76*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -2*a**3\/9 - 2*a**2\/3 - 2*a\/3 + 8. Suppose t(c) = 0. What is c?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519142573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 0*y**4 + 18*y + 0*y**3 + 0*y**2 + 22\/5*y**5 + 29. What is the first derivative of a(f) wrt f?\nAnswer: 88*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52, 111, 184, 277, 396, 547, 736?\n\"Answer: q**3 + q**2 + 49*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 18 = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1650372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -3 (b) 0.3 (c) -6\/199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4144669\/22 + 188084. Let h = 3356\/11 + p. Find the common denominator of h and -43\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02178488696 rounded to six decimal places?\nAnswer: -0.021785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 13*p. Solve -8 = 2*y - 6*y, p = -2*t + 4*y - 14 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**5 + 2095*k**4 + 160220*k**3 + 1273280*k**2 - 7082400*k + 7756560 = 0?\nAnswer: -57, -14, 2, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-7\/5)*b*b)\/b)\/((b*b\/b**(-4\/9))\/b)*b\/b**(-6)*b**0)**38)**(25\/3) assuming b is positive.\nAnswer: b**(44080\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -48 (b) 1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 4*y**2 + 6*y - 2. Let m be s(4). Let i = m + 4. Suppose 3*k + i = 3*b - 79, 4*b = k + 128. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15566 and 50396?\nAnswer: 9121676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 605461125 by 254931.\nAnswer: 2375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*k + 169 = 0, 5*o + 5*k + 47 + 158 = 0. Let p = -6 - o. What is the remainder when 87 is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v - 10. Let m be u(-9). Let f = m + -34. Which is the second smallest value? (a) f (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7345 and 59890.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7\/8, 9.1, 0.2 in descending order.\nAnswer: 9.1, 3, 0.2, -7\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3+-333027805.71\nAnswer: -333027808.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1421*v**2 - 1823 + 916 + 411*v**2 + 907 to k*v**2 + m + b*v and give k.\nAnswer: 1832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, -0.4, 10.\nAnswer: -125, -0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1925.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m - 22. Let j be h(7). Put -1\/4, j, 4\/9, -0.5 in increasing order.\nAnswer: j, -0.5, -1\/4, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/(-4)*(-124)\/(-32) and (-69)\/60 - (-9)\/(-3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2432823491?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*((l*l*(l*l**2)\/l)\/l)\/l))**(2\/5)*(l\/((l\/(l*l\/l**(2\/7)))\/l))**4 assuming l is positive.\nAnswer: l**(366\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7418, -7343, -7222, -7055, -6842, -6583, -6278?\nAnswer: -5927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -114?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -489*g - 3550. What is u(-7)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 8*y. Let p be v(-8). Suppose -5*b - 20 = p, -466 = 3*n + 2*b - 1280. Suppose 4*u + 0*u + 3*f = n, f - 270 = -4*u. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**2 + 328440*l + 328444 = 0.\nAnswer: -1, 82111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, 404, 454, 344, 20, -572?\nAnswer: -1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*r + 50*r + 26*r + 46*r**2 + 45*r**2 - 85*r**2 to the form d + c*r**2 + y*r and give y.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 7:34 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**2\/5 - 88*s\/5 = 0?\nAnswer: -44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3d80 (base 14) to base 5\nAnswer: -322032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 1486.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 112 = -11*n. Let x(w) = -w**2 + 55 - 3*w + n + 3*w. List the prime factors of x(0).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 68130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-15)*(7 + -5)*-5. Let v be (3 + 0 - (-13 - -14))*m. Solve -3*l + 4*n + 3 + v = 0, n = 4*l + 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*g = 19, -f + 12 = -g + 4. Let h(i) be the second derivative of 0*i**2 + 1\/6*i**f + 0 - i. Let m(z) = -3*z**2. What is m(h(u))?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8*(7216\/(-132) - -44)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -90ec8b7?\nAnswer: -90ec8b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 28. Suppose 2*w = -3*k - 3, 0 = 4*w + 2*k - i. Solve 0*x - 3*x + 13 = t, -t - x = -w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31706197 is divided by 2350?\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61.3 - -52. Let a = 0.4 - h. Round a to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 352 and 9196.\nAnswer: 73568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -299 - -543. Suppose -5*b = -n - 526. List the prime factors of b.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - 2)*1 - 2. Let t be (-33)\/c - (-4 + 2)\/8. Solve 2*i = -t*i + 10, 20 = -2*s + 5*i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246 + 145 = 26*i - 49*i for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140.89 - 0.11. Let k = p - -140.99999805. What is k rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/23)\/(-3 + 10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 16*g**2 + 127*g - 90. Calculate v(-21).\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.639 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -829\/321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 193 = 3*k, -8 = b + b. What is the remainder when k is divided by -17*(-6 + (-2 - -7))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeteeegeetet. Give prob of picking 1 t and 1 e.\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/3 + 151*b**4 + 19677*b**3 + 1685939*b**2\/3 + 503700*b - 1085508 = 0. Calculate b.\nAnswer: -207, -38, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**5 - 125*o**3 + 324*o**2.\nAnswer: -60*o**2 - 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -319333872*o*x**2 + 8*o*x - 2699*o - 3076 wrt x?\nAnswer: -638667744*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.214*488.\nAnswer: -592.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73.5 + -591.5. Let n = -502 - x. Which is smaller: 8 or n?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97512594 and 1518?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**5\/n)\/n)**(-1\/2))**(-1\/61) assuming n is positive.\nAnswer: n**(3\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -3, -2, 57.\nAnswer: -4, -3, -2, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 6*c**2 - c - 4. Let n(z) = -z**2 - 6*z + 5. Suppose 2*v = 1 - 13. What is the remainder when n(v) is divided by l(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**3*o**2 - 191*k*o**3 + 8*o**3 - 10 wrt k.\nAnswer: -3*k**2*o**2 - 191*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-9) - ((-179)\/(-45) + -3)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 613818018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-539)\/(-14)*2672\/1837.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3958\/24 - (-48)\/576. Suppose -n = v - 169. Solve -4*t = -2*x - 18 + 10, 0 = 3*t - v*x - 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -64\/5. Which is the closest to 1? (a) 0.7 (b) r (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhgqvhghhqhhgh. What is prob of sequence vhg?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + -1 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -0.3, 6, -0.4, -85, 1\/2 in decreasing order.\nAnswer: 6, 1\/2, 0.02, -0.3, -0.4, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -510 - 2?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/(-546))\/(-10*(-6)\/(-56)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -476576, -476575, -476574, -476573, -476572?\n\"Answer: x - 476577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)*y*y**(-1\/15))\/(y**(1\/4))**47 assuming y is positive.\nAnswer: y**(-629\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 501 = 3*c - 4*c, 849 = 5*f + 3*c. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 45271564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 30*z + 92. Let k be p(11). Solve 2*q = g - 0 + 4, k*g = -5*q + 36 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s + 5. Let n = -32290 - -32291. Let o(k) = 9*k. Let w(v) = 5*v. Let j(m) = 4*o(m) - 7*w(m). What is n*p(y) + 3*j(y)?\nAnswer: -2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*i - 2684, 0 = 69*b - 74*b + 2*i + 6742. What is b rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*n = -27 - 121. Suppose 5*p - 25 = 2*a - 17, -p + n = 0. Solve -a - 2 = -3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.7 + -5. Suppose 0 = -2*l + 111 - 263. Let m be l - -82 - (-94)\/(-16). Which is the closest to m? (a) 1 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*h**4 - h - 126 with respect to h.\nAnswer: -24*h**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 0 + 7\/6*t**3 + 0*t - 1\/8*t**4 + 5*t**2. Let q be (-10)\/4*(-17 + 15). Give z(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12973 a factor of 912086279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 163*x + 178. Let v(w) = 81*w + 103. Give 4*t(y) - 7*v(y).\nAnswer: 85*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 254536? (a) 3 (b) -2 (c) -13 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*((-2)\/(-5))\/((-12)\/(-10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*j + 8*j**2 - 15*j)*(j**3 + 3*j**2 - 3*j**2) - 4*j**5 - 3*j**5 + 4*j**5.\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 5*f**2 + 6*f + 3. Let t be z(6). Suppose -g - t = -2*i, -3*g = -i + 2*g + 6. Find the first derivative of -u**4 - u**2 + u**2 - i wrt u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjjjerejdj. Give prob of sequence dm.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-5\/6)\/t)\/(t\/(t**9\/t)))\/((t*(t\/t**(-9))\/t*t*t)\/(t*t*t**(-5\/3))) assuming t is positive.\nAnswer: t**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 671660771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -229646 or -229656?\nAnswer: -229656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and -19158279901044.\nAnswer: -19158279901044.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 39\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58198027 and 10756?\nAnswer: 2689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*x**6 + x**5 - 6520*x**4 + 72011*x**2.\nAnswer: 600*x**3 + 60*x**2 - 156480*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8351083 is divided by 168.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -27. Find the first derivative of -10 + 11 + 11*p**2 - l*p**3 - 9 wrt p.\nAnswer: -6*p**2 + 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19448\/(-208)*(-20)\/110.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -15*v - 4\/3*v**4 - 1\/7*v**8 + 0*v**3 + 0*v**6 + 0 + 0*v**5 + 0*v**2 + 0*v**7. Find the third derivative of j(n) wrt n.\nAnswer: -960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 13 = 107. What is the lowest common multiple of 121\/6 - 4\/g and (-44)\/(-7) - (-4)\/(-14)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 29. Suppose -36 = -k - 2*j, -d*j - 148 = 2*k - 5*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3021102014 (base 5) in base 11?\nAnswer: -3451a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-60)\/(-8)*51\/30 and -57\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 1:38 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 793.9 + -701. Let m = 17.9 - f. Let p = -74 - m. Which is the closest to p? (a) 3 (b) 21\/5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m + 5*m - 68470 - 21710 = 0. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(27\/102) - 6\/(-9). Suppose -14*a + 2778 = -f*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28063 + 78289 = 68*o. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 11:51 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 1 + 1)*(48*u**2 + 69*u**2 - 135*u**4 + 138*u**4).\nAnswer: 6*u**5 + 234*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -43*o. What is w(1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 621?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -8, 5, -3, 4, 11 in increasing order.\nAnswer: -8, -3, 4, 5, 11, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -494039.77 + 496061. Round a to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 1\/3, -0.1, 5\/3, 4.57, 2\/7?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sacbooabbbsccccvcao. Give prob of sequence acs.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -6)\/(34\/(-34)). Solve -4*r + 4*l = r + 17, -2*r = -q*l + 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -17451, 1, 5.\nAnswer: -17451, -3, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -418 by 6.\nAnswer: -209\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Suppose -18 = -a - 5*a. Differentiate 2*w + n*w + 0*w - a*w + 2 wrt w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*x - 193 = 0, -t - 5*x - 94 = -3*t. Suppose v + 0*v - t = 0. Which is greater: v or -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 8. Let a be p(-3). Suppose 3*o = -o - 4*m + 308, -417 = -5*o + 3*m. Suppose -o - 21 = -a*h. Calculate the greatest common factor of 17 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46591252?\nAnswer: 2, 41, 284093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3693150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 101*g + 2040. Let t be o(-20). Suppose j - 40 = -0*j. Suppose -j = -4*v - 0*v. What is the highest common divisor of t and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 318 + -313. Calculate the remainder when 383 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -143 + 66455?\nAnswer: 66312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (-2)\/2*-2. Let t(w) be the second derivative of w + 0*w**n - 1\/2*w**3 + 3\/20*w**5 + 0 + 0*w**4. What is the second derivative of t(c) wrt c?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*d**3 - 612*d**2 - 1635*d.\nAnswer: -3*d*(d + 5)*(19*d + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6105 + 8878. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2282 by -13265.\nAnswer: 326\/1895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - 3 - (0 + 0)\/1. Let z be (-24)\/(-16)*b\/2. Put z, 0, 5, -4 in increasing order.\nAnswer: -4, 0, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/2, -5, 0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -11*o + 55. Let j be f(13). Let w = -24 - j. Calculate the remainder when w is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80727*l + 40365*l + 40364*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 5*q - 3. Let n be h(-3). Suppose 10 = n*y + c - 9, y = -3*c + 9. What are the prime factors of 6\/(-4) + 39\/y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5 = 50. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147.014 rounded to the nearest integer?\nAnswer: 2147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 94659.6 litres in millilitres?\nAnswer: 94659600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50215426?\nAnswer: 2, 25107713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*b + 184 = -0*b, 5*c = b + 200. Let g = c + -37. Let o(q) be the second derivative of q**4\/6 - 5*q**3\/6 - 2*q**2 + 3*q. Calculate o(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itebbqqeeiim. What is prob of sequence iqtm?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 2315\nAnswer: -92.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/70 - (-2)\/(-5). Let o = -2454 - -2454.2. Which is the biggest value? (a) 1 (b) r (c) -1 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347016710 a multiple of 1118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -9*j**8\/56 + j**4\/12 + 10*j. Find the third derivative of f(p) wrt p.\nAnswer: -1080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**5\/30 - 59*s**4\/6 - 232*s**3\/3 + 560*s**2 - 2. Determine d so that i(d) = 0.\nAnswer: -116, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -33?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1893 + 10806 = -249*b for b.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*f**6 + f**5 + 325*f**3 + 3096*f**2 - 131*f?\nAnswer: -1800*f**3 + 60*f**2 + 1950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39498 + 39757.99. Let m = 260 - z. Let x = -6.8 + 7. Are x and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8f + -26455?\nAnswer: -263c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12959431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(0 + 2)*-1. Let z be 16*t - 2 - -1. Suppose 2*n - d + 10 = z, 2*d = -5*n + 57. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141213320434 + -11?\nAnswer: -141213321000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6473 by -30.\nAnswer: 6473\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4 + 92*k**3 + 168*k**2 - 368*k - 704 = 0. What is k?\nAnswer: -44, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 10*u - 351 - 279 = 0 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -133\/3, -2\/7, 0.4, 8\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7434346*a**5 - a**3 - 3222771*a**2.\nAnswer: 446060760*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -558*j. Let s(h) = 2*h**2. Calculate s(n(l)).\nAnswer: 622728*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2605, -199\/5 in ascending order.\nAnswer: -2605, -199\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -4, 130, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 182\/9. Let b = 39.76 + -40. Let f = -4.24 - b. What is the smallest value in -5, f, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 9 = -7*p. Suppose -3*s + 10 = -b, 31 = p*s + 4*b + 11. Suppose -4*j = -12 - s. Put 3, -5, -4, j in increasing order.\nAnswer: -5, -4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c7 + 559?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28797475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.33548314 to two dps.\nAnswer: 6.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 1:49 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7373 by 3.\nAnswer: 7373\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25083 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2670 - -3?\nAnswer: -2666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x = -4*r - 3, 2*x - r - 3 = 0. Let j(p) = -1 + 2*p + x - 2. Let h(d) = 6*d. Calculate h(j(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13381636, -13381641, -13381648, -13381657, -13381668, -13381681, -13381696?\n\"Answer: -n**2 - 2*n - 13381633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 6 + -10 + 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, i: 8, u: 1, t: 2, h: 1}. Give prob of sequence iii.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -54)\/(-7) - (3 - -2). Suppose -g + y = -36. Solve g = 4*o + 35 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + v + 38 = 0, 30 = 4*o - 0*v + 3*v. Let a(f) = 2*f**2 - 8*f + 5. Let w be a(o). What is the greatest common divisor of w and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -1994996*o - 8. Let p = -73 + 75. Let x be f(p). Round x to the nearest 100000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxx when three letters picked without replacement from sxffxzxkffsz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 209*(-18)\/99?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 3*m**5\/20 - m**2\/2 - 12*m. Differentiate o(i) with respect to i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -2\/5, 5, 1\/2, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 10:28 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -134?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18, -36, -184, -474, -954, -1672, -2676?\n\"Answer: -8*m**3 + m**2 - m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1506 and 73\/189729?\nAnswer: 95243958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - f**2 - 53*f + 960. Let n be i(0). What is the greatest common divisor of 210 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 159 = -s. Let k be (s - -7)*(1 - 3). Let x = k + -57. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 - 2*b**2 + 4*b + 3. Let i be n(3). Calculate the remainder when 14\/2 + 2 + 0 is divided by i\/9 + 5\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -0.344?\nAnswer: -0.344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(-1\/5))**(35\/6) assuming q is positive.\nAnswer: q**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24308 and 1854?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97025751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 5 + 8)*(2 - 2 + 1 - 5 + 4 - 1 + (3 + 0 - 1)*(-2 + 1 + 3))*(-3 + 14 + 0)*(-4 + 3 + 3)*(2 + 4*y**2 - 2) in the form d*y + q + a*y**2 and give a.\nAnswer: -2112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/24 + 81\/12. Suppose 2 = j + q, -2*j = -u*j + 3*q + 18. Suppose 0 = w - 3*k - 54, 4*w = j*k - 2*k + 183. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-21)*3 + 3196\/14. Suppose n = 5*p - v, 5*p - 5*n - 248 = -8. What is the highest common factor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-10) - (-66)\/15. Let x = -8 + p. Let r(c) = -c - 8. Let i be r(-6). Which is bigger: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*s - 4*d - 32, -s + 2*d + 12 = 0. What are the prime factors of (-6 + 39\/s)*96?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - (7 + -3)) + (1 - (-10 - -19)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4530928 or -4530927?\nAnswer: -4530928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*g + 4067224, -4*g - 5*s = -3492520 + 238703. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i\/(i**(-2\/11)*i*i))\/i)**(-1\/12)\/(i\/i**(-3\/4)*(i\/i**(1\/3))\/i))**(-1\/20) assuming i is positive.\nAnswer: i**(63\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -437\/3 - -146. Let o(f) be the first derivative of 4 + 0*f - u*f**3 + 0*f**2. Let n(s) = -7*s. Give n(o(a)).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 326, -1, 1310, 0, 2 in increasing order.\nAnswer: -1, 0, 2, 326, 1310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 344072669 divided by -491?\nAnswer: -700759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10995012 divided by 119511\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82101721 is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let g(t) = t**2 - 1. Let q(a) = 5*a**2 - 6*a - 1. Suppose -5*w = -4*w - 1. Let b be 20\/2*6\/(-15). Let i(h) = b*g(h) + w*q(h). Give i(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 11*b - 7. Calculate c(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/70*(-120)\/(-16)*(-2)\/(-10). Which is the fourth smallest value? (a) 4\/9 (b) 12 (c) u (d) 0.3 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2926280800 rounded to the nearest 1000000?\nAnswer: 2926000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*3\/9)\/((-372)\/63 - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**2 + 621940*b + 19340468180 = 0 for b.\nAnswer: -62194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.135 - -81.865. Let y = 82.037 - l. Let x = y + 25.963. Is x at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 3*y + 2*k, 2*y - 83 = -k - 30. Let v = 23 - y. Suppose l + 0*l = 5*i - 50, 0 = 3*i + l - 30. Which is smaller: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*b*d - 3*b - 162744*d - 2287984 wrt d?\nAnswer: 12*b - 162744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1638, 1868, 2262, 2820, 3542?\n\"Answer: 82*k**2 - 16*k + 1572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -579*v - 3485. What is n(-7)?\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*h - 14, -4*n + 511*h - 514*h + 101 = 0. Suppose i - 2 = -0. Suppose -i*v - n = -v. Is v at most as big as -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16975000 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 451 + -8571\/19. Which is the nearest to 1? (a) -3 (b) -0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 1023?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o + 2*o + 3*o)*(464 - 464 - 682*o) + 3*o**2 + 2*o - 7*o**2 - 4*o**2.\nAnswer: -6828*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2875)\/116375*19*(1 - 8)?\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.97 + -9.7.\nAnswer: -4.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 + 37. What is the fourth biggest value in 0, 2, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-2 + 6 + 2 + -8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6)*(-6)\/1. Solve -f*b = -3*x + 2, -12 = x + 5*b - 0*b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8623 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 4*c**3 - 3*c**3 + 3*c**3 - 1.\nAnswer: -c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/25 in -46.4, -1, 34\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2547 + -961. List the prime factors of f.\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147 and 637.\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 72857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -150, -309, -642, -1239, -2190?\n\"Answer: -15*u**3 + 3*u**2 - 63*u - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1771 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377, 378, 379, 380, 381, 382?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 12:11 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -4449, 19, 2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-14))\/(4\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 1. Let v be k(-1). Let h be (90\/12)\/(3\/4). Suppose 3*n = 5*n - h. Solve 4*c - 15 - n = v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 55 = -9*j. Sort -88, 3, 5, j in increasing order.\nAnswer: -88, j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-16)*f*f*f)**(-17)*(f\/(f\/(f*f*f*f\/(f*f\/((((f**10\/f)\/f)\/f)\/f))*f*f))*f)\/((f\/f**(-2))\/f) assuming f is positive.\nAnswer: f**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000105685516 rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c1 + 3292a0?\nAnswer: 329381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, q: 2, c: 7}. What is prob of sequence qq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 11. Let p = 0.323 - -2.677. Let z be -1 + ((-40)\/(-18) - 1). What is the third biggest value in p, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 219 - 218.99. What is the nearest to l in -5, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30479, 30546, 30659, 30818?\nAnswer: 31023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122 + 141. Suppose -j*h + 48 = -7*h. Find the second derivative of 5*o**5 - o**5 + 21*o - 64*o**h + 64*o**4 wrt o.\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*t**2 - 13*t**2 - 46*t**2 + 16*t**2 as a*t**2 + q*t + g and give a.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/((-7)\/(-14)). Which is the closest to j? (a) -1 (b) 5\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4030456.\nAnswer: 2, 521, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddxdddx. Give prob of picking 1 x and 2 d.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6670.7 - 6675.7. Suppose -4*j = -j + 6. Let u = -16\/21 - -3\/7. Which is the second smallest value? (a) u (b) v (c) j (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22713 is divided by 11337.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**3))\/h**(-18))\/(h*h**(6\/11)*h*h*h**(-13)) assuming h is positive.\nAnswer: h**(269\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7296 is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/175 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 z when four letters picked without replacement from {z: 9, h: 11}?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/14 - 103\/(-7). Let i = o - 11. Let h = 0.096 + 1.904. What is the biggest value in h, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 25 + 8*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -5*r**4\/24 + 31*r**3\/2 + 168*r**2. Let c be n(20). Let m(o) = o + 5. Give m(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 360 = 50*t + 3*t. Solve 26*h = t*h - 20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 255*z - 3392. Give l(-17).\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12*(2 + -3) + 4. Suppose 3*g - 29 = q. Solve g = -4*x + x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 4*h**2 - 2*h + 3. Let z be p(-4). Calculate the remainder when 65 is divided by (-4)\/(16\/z)*-8.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12680404 by 288191.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*(4 + -9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfnnfnnnnnfnfnnffn. What is prob of picking 3 f?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-260)\/(-22) - (-2)\/11. Let h(y) = 211*y + 2. Let w be h(-1). Let s = w - -317. Calculate the highest common factor of v and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 888292 is divided by 30630.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1320172199 to the nearest integer?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 294*n + 7497.\nAnswer: -3*(n - 119)*(n + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23267514 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 525 = 40*y. Put 8, y, -4 in descending order.\nAnswer: 8, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8603 + -8079. What is the remainder when k is divided by 269?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5402 - 5403. Suppose t - 3 = -k, 1 = -5*k - t + 12. Suppose 4*n - u + k*u + 29 = 0, -2*n + 4*u = -8. Sort 1, n, 4, p in descending order.\nAnswer: 4, 1, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 6*h**2 - 2. Let i(o) = -o**2 - 5*o. Suppose -4*q - 30 = -10. Let x = 2 + q. Let z be i(x). Calculate r(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from vsmwnkm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 6. Suppose -5 = q*p + d, -d - 10 = 4*p + d. Suppose -2*x + 38 = 2*z, p = 2*z + 4*x - 53 + 5. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k**2 + 3*k**3 - 3*k**2 + 3*k**3 + 3*k**4 + 6*k**2.\nAnswer: 3*k**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 6:03 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - z = 22 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -1\/12*h**4 - 1\/10*h**5 + 0*h - 1\/120*h**6 + 0 - h**2 + 7\/6*h**3. Let r be 5*(-1)\/(-2)*-2. Give y(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*k)*(-2*k**3 + 0*k**3 + 4*k**3) + 3850*k**4 + 4997*k**3 - 4997*k**3.\nAnswer: 3854*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -789, -1578, -2369, -3162, -3957, -4754, -5553?\nAnswer: -6354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2110423 + -3310?\nAnswer: -2114233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41501 and 2585.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/105*(-12)\/68. Is -1 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3553*k + 1440 = -3733*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 3 = -d. Suppose -8 = -7*t - d. Suppose t = -4*a + 21. Solve -f + 0*f + a = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/15)\/(3\/(-15)). Let m = -8 + a. Suppose m*r + r - 1 = 0. Solve 0 = 4*z - 3*z + r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/6 (b) 0.9 (c) 0.09 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/7 + 1468*t + 61800\/7.\nAnswer: -4*(t - 2575)*(t + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -5. Which is bigger: l or 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58140047 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/17 - 16256*s**2\/17 + 146466*s\/17 = 0.\nAnswer: -8137, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53637*n = -53563*n + 962 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 5:15 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 1. Let s be d(7). Let r(o) = -o**3 + o**2 - 4*o + 1. Let a(h) = -h**2 - h. Let f(c) = -5*a(c) + r(c). Calculate f(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 0 + 0*t**4 - 1\/6*t**3 - 3\/20*t**5 - 1\/2*t**2 - 3*t. Give d(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j - 1. Suppose -24 = 4*s - 10*s. Suppose -78 = -s*c + 42. What is the remainder when c is divided by q(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.01619717 and -4?\nAnswer: 3.98380283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 25*v**2 + 15*v - 12. Let u be d(4). Calculate the greatest common factor of u and 320.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*f + 1)*(-4458*f**4 + 3*f + 299*f**3 - 299*f**3 - 3*f).\nAnswer: -8916*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 + 2499*q + 12425. What is c(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2610*z - 3656*z - 17782 = 0 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -80 + (9 - -47 - (87 - 58))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*1\/15 + 81\/555\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2 = -4*w, -2*w + 2 = -2*h - 6. Let o(q) = 3*q**2 + q**3 - 3 + 3 - w + 2. What is o(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11, 20, 25, 20, -1, -44?\n\"Answer: -c**3 + 4*c**2 + 4*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 2\/19 (b) -1\/4 (c) -2\/17 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, -1254593 in descending order.\nAnswer: -5, -10, -1254593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 25. Suppose -4 = 3*b - f. What is the smallest common multiple of b and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m - 3. Let o(k) = -16*k + 10. Let n be (-5 + -1)\/(-1 + 0). Suppose -10 = n*s - s. Let c be (53\/(53\/(-2)))\/(2\/7). Give c*r(l) + s*o(l).\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 60 = 11*k. Suppose -k = -8*m + 12. Differentiate -18 + 26*d**3 - 24 + m - 2*d**3 wrt d.\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1689135, -3378271, -5067407?\nAnswer: -6756543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.1 + 16. What is the third smallest value in 2\/19, a, -14?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by -1.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/5 + 10297308*a\/5 + 13254319005858\/5.\nAnswer: 2*(a + 2574327)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2650? (a) -1\/6 (b) 0.5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 15, 3*q = 7*q - 30*u + 32*u + 22 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**3 - 9*l**2 - 7*l + 138. Let k(y) = y**3 - 3*y**2 - y. Let n(v) = -3*k(v) + o(v). Differentiate n(b) with respect to b.\nAnswer: -27*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**2 - 2970*m + 440440 = 0.\nAnswer: 286, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12807\/(-49805))\/(3\/14).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/5 - 51808*u**3\/5.\nAnswer: -u**3*(u + 51808)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 1\/7, 1.8, -6, 4\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, u: 13}. Give prob of picking 3 u.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 650455955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y + 18 - 78 = 0. Suppose -y*a + 2625 = 48. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 973018*m**6 - 641509*m**2 - m - 2?\nAnswer: 116762160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 893?\nAnswer: -888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - -63. Suppose l*d + 8 = 0, -7*g - 665 = -2*g + 5*d. Let u = -71 - g. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4410263 (base 7) in base 12?\nAnswer: 220868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*j + j - 12, 5*d = 5*j - 40. What is the highest common divisor of 2 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 2 + -1 - (-8)\/(-64). What is the third smallest value in -4, m, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 2*m + 2. Let r(i) = 2*i**3 - 8*i**2 + 2*i - 3. Let l(k) = -r(k) - 3*u(k). Let o be l(-5). What is the highest common divisor of o and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -979020 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 at most 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3*-1692\nAnswer: 5076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y + 224. Find the common denominator of 53\/2 and y\/(-24)*50\/(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7980 divided by -20\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 24. Suppose -j = -t + 19, 0*j = 4*j - t + 85. Let h be g(j). Suppose -3*d = -h*o + 2*d + 1900, -5*d - 945 = -o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 457, 0, 5, 1 in increasing order.\nAnswer: -7, 0, 1, 5, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1295549 is divided by 14082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47928 by -11982.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/2*(18 - -4). Let z = c + 142. Suppose -x = 3*x - 5*u - 33, -3*u - z = -3*x. Let s(m) = 3*m**2 - 2*m + 2. Calculate s(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/121 - 26\/121. Let n be (10\/4)\/((-3)\/(-6)). Suppose -x + 12 = -n*x. What is the third biggest value in c, x, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/10 + 2\/4. Suppose -y + 3 = q. Solve y*c + 4 = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -7 - 1 - (-81 + 90 + 13)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 5*a. Let g be i(5). Let l be 6\/3 - g - -31. Solve -b + 5 = -6*b - s, -5*s + l = -4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 - 78*u\/5 + 1312.\nAnswer: -2*(u - 41)*(u + 80)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1851*n - 982 - 484*n - 836 + 391 wrt n.\nAnswer: -2335","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -3. Let a(z) = -6*z**2 - 3*z - 7. Suppose -4*f = 8, -4*r + 2*r = 5*f. Let n(y) = -y**2 - y - 1. Let p(j) = r*n(j) - a(j). What is p(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -15*i**3 - 15*i**2 + 37*i + 7. Let g(y) = 10*y**3 + 10*y**2 - 25*y - 5. Let w(f) = 7*g(f) + 5*s(f). Find p such that w(p) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.5 + 42\nAnswer: 37.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 6.12 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -n - 12, -4*i + 3*n + 8 = i. Suppose w - 7 - 5 = 2*s, 0 = 5*w - i*s - 30. Solve -x - 24 = w*x + 3*g, 4*x - g + 17 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00119222826 rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4*f - 17, 4*w - 4*f - 2 = 2. Factor -a**w + 0*a + 0 - 3\/2*a**4 + 0*a**2.\nAnswer: -a**3*(3*a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82 + 82.000083. What is r rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*(-55)\/(-44)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -31086 less than or equal to -31122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((21\/70)\/((-22)\/110))\/(4\/16*7).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 637 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 223 - 390. Let b = n + 170. Solve a = -b*k + 13, -a - 4 = 4*k - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28464173?\nAnswer: 28464173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a meter in millimeters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4115.\nAnswer: 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -24. Let u(z) = -10*z**3 + 18*z**2 - 18 + x*z**3 + 3*z - 23*z. Let s be u(-19). Which is the nearest to -2\/7? (a) s (b) -1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175674 (base 9) to base 10\nAnswer: 109174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) 0.4 (c) -40.1 (d) -23\/4 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**3 - 5. Determine y(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7092\/(-126))\/((-2)\/(-14)*-1).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 19\/2*d**2 + 1\/3*d**3 - 37*d + 0. Let u(c) = -c**2. Determine w(u(m)).\nAnswer: -2*m**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2) + -1 - (sqrt(18) + sqrt(2))*4 - (sqrt(6)\/sqrt(3)*1 - (-5 + sqrt(32)))**2)*-5*5.\nAnswer: -375*sqrt(2) + 1050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 - -198. Suppose 551 - 56 = 5*z. Suppose a*t - 6 = z*t. Calculate the least common multiple of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -256*k + 70. Let a be d(2). Let z = -405 - a. Calculate the remainder when 121 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**4\/4 - 17*h**3 + 66*h**2 - 14. Find the second derivative of f(n) wrt n.\nAnswer: -6*n - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/7725?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j**5 + 3*j**4 + 18*j**3 + 3*j - 3. Let h(a) = -a**5 + a - 1. Suppose -c - 4*w + 11 = 0, 2*w + 3*w = 10. Let z(r) = c*h(r) - i(r). Factor z(s).\nAnswer: 3*s**3*(s - 3)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/245*(-50)\/(-4)*(-1329)\/19935?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 30519198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 3)\/(6\/9). Solve 0 = -12*v + 15*v + l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14, 45, 122, 269, 510, 869?\n\"Answer: 4*r**3 - r**2 + 6*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*f + 146 - 146 + (3 - 2 - 2)*(0*f - f + 0*f) + 0*f - 3*f - 2*f - 2*f + 5*f + 0*f.\nAnswer: 19*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -17 - (41 + -46)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -421 + 30112?\nAnswer: 25251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -55565951 <= -55565950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, k: 2}. What is prob of picking 1 k and 1 h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1343 and 23324?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -364596985 by 72919397.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -412 minus -350523703.33?\nAnswer: 350523291.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 4*l**2 - 3*l. Let i be y(-4). Suppose -405 = 12*o - 27*o. Suppose -s - i + o = 0. Solve -2*h + 3*p = 1 + 8, h + 5*p - s = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3610\/365 + -10)*1. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 2*o**2 + 2*o**2)*(-4 + 1 + 2 + o) + (2 - 2 + 2)*(4*o**3 + 0*o**3 - o**3).\nAnswer: 4*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 21*w = 22*w - 560, -2*w = 3*p - 420. Calculate the remainder when p is divided by 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 - -72. Let o(i) = i**2 + 8*i - 31. Let q be o(3). Solve -12 = -n + q*h + r, -2*n - 5 = 3*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence va when two letters picked without replacement from nvnnnvhnnnnannhvnnn?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2302 - 2317. Which is the second biggest value? (a) 11 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - 5*j**2 - j - 3. Determine x(-4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -22. Suppose 4*i = y + 887, 5*i = 6*i - y - 224. Calculate the greatest common factor of i and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/11 or -2739899?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 510 (base 7) to base 2\nAnswer: 11111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 2, -4, 0.06, 7\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*l - 30 = 0, -12*l + 16*l = 2*n - 26. Find the third derivative of 155*p**5 + 340*p**2 + 4*p**3 - 196*p**2 - 4*p**n wrt p.\nAnswer: 9300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*x**2 - 60*x - 9*x**3 + 207*x**2 + 33*x - 418*x**2.\nAnswer: -9*x**3 - 27*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*y - 25*k + 113, y = k - 77 + 66 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8238621, -16477329, -24716037, -32954745, -41193453, -49432161?\nAnswer: -57670869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -44. What is the closest to 0.1 in 0, i, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2.709912 nanograms?\nAnswer: 0.000000002709912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616304762.\nAnswer: 2, 308152381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (2 - (1 + 8)). Suppose -s*u = -3 - 17. Suppose 2*d = -u*x + 1536, 0*x + d = -x + 385. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 10 = 468*a - 465*a - 4*u, -5*a + 4*u - 9 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 310 (base 10) to base 7\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**3 + 22632*y**2 - 12232164*y + 1741704512 = 0.\nAnswer: 293, 5072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156877*q**6 - 98467*q**2 wrt q?\nAnswer: -18825240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - 3*((sqrt(242) + 4)**2 + sqrt(242)) - (1*4*sqrt(242))**2) + 3.\nAnswer: -4643 - 286*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4000 - ((-75)\/(-100))\/(1\/8)?\nAnswer: 2, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and -20333687 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 50*k**2 + 25 + k + 98*k**2 - 44*k**2. Let w be g(-5). Suppose -10 = -2*c + 4*y, 2*c + 5*y = 3*y - 20. Is c equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1857384 and -81\/2?\nAnswer: 1857384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -237*(-1)\/(8\/(-8)). Is g greater than or equal to -1186\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8101 - 8100.86. Which is the nearest to f? (a) -0.4 (b) -5 (c) 1\/3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008613788083 to seven dps.\nAnswer: 0.0000861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a6c - -427?\nAnswer: -2645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 27*b**2 + b - 19 - 13\/2*b**3. Differentiate d(y) with respect to y.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/8 - (-117453)\/(-4284))\/((-6)\/(-9)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 399768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -30. Suppose -f*o + 3 = -4*o. Solve 0*z + z = -o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 10*w + 2. Let r(b) = 73*b + 10. Let c(g) = -8*d(g) + r(g). Calculate c(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 3*f + 1. Let q be u(2). Let x be (36\/(-87))\/((-200)\/2900). Solve 21 = -4*r + c, 7 = -q*r - 2*c - x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 723*m - 31219. Determine g(43).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 102 or -92\/15?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**5 - b**5 - 2*b**5)*(-1 - 2 + 2 + (3 - 5 + 4)*(-1 + 2 + 0) - 3 - 2 + 4 - 1 + 2 + 0 - 2 - 2 + 6 - 3 + 1 + 0) - 301*b + 57*b**5 + 301*b.\nAnswer: 58*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (924*j - 872*j + 1 - 3 - j + 0*j + 2*j + (0 + 0 + 2)*(-2*j - j + 2*j))*(5 - 1 - 3)*(-1 - 2 + 4) as x*j + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1207\/4 and -301 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1888*g + 11328. Let u be x(-6). Factor 0*s**2 + 1\/2*s**5 + s**3 + u*s - 3\/2*s**4 + 0.\nAnswer: s**3*(s - 2)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 + 3 - 3 - 71*h**3 + 55*h**3 - 151*h**3 + (-h**3 + 4*h**3 - 4*h**3)*(-1 + 0 + 2) + 3*h - 2*h**3 - 3*h as p*h**3 + s*h**2 + x*h + r and give p.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 244529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/70 and -117\/1019290?\nAnswer: 7135030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-10 + 91)) + 57?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7243\/20 + 362. Let y = 6.46 + -5.46. Which is the second biggest value? (a) y (b) m (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56181762 divided by 91?\nAnswer: 617382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 4*k**2 - 2*k + 14. Determine x(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 328*u + 5. Let l(j) = -j**2 - 5*j - 4. Let k be l(-5). Let i be h(k). Let b = -867 - i. Round b to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25674252 from -2.\nAnswer: -25674254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*1*sqrt(120))\/(sqrt(30)\/(sqrt(5) + sqrt(5)*1)))\/(-6*sqrt(80)\/(sqrt(128)*-4)))**2.\nAnswer: 8192\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1272*w - 1469*w = 18912 for w.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -17*k - 13. Is a(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 936546 to the power of 1\/2, to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 = -4*n, -4*g + 5*n = -2*g - 14. Suppose -g*i - 3 = -i. Does 14 divide 28\/i*(-5 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(3\/(-630)*-8)\/((-2562)\/305).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 11 + 11)*(24 - 3*q**3 + 23 + 5*q**3)*(0*q + 3*q + 3*q).\nAnswer: 12*q**5 + 282*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4427353?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2442 and 6327?\nAnswer: 139194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 10, 83, -1 in ascending order.\nAnswer: -1, 0, 3, 10, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*(-4 + sqrt(288)*-2) + 1*(sqrt(288) + (sqrt(288) - (sqrt(288) + 2 + 2) - sqrt(288)))**2 + 0.\nAnswer: -48*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*s. Suppose 44 = 2*b + 4*q, -b + 77 = 3*b - 3*q. Let t be 8\/b - 16\/15. Is s bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -11*u**2 - 6*u + 16. Suppose -16*q - 9 = -41. Let a(d) = -12*d**2 - 5*d + 17. Let y(g) = q*b(g) - 3*a(g). Is y(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17648\/(-3) - (-116)\/(-87). Let m = p + 19743. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*d + 11*d**3 + 0*d**3 - 149 - 90*d + 149.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 79769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**2\/2 - 231687*p\/2 + 115844 = 0.\nAnswer: -231688, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*d**2*k**2 + 936*d**2 + d*k**2 + d*k + 3854*k**2 - 9*k wrt d.\nAnswer: 16*d*k**2 + 1872*d + k**2 + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/13)*(r**(-6\/11)*r*r*r)\/r)\/((r*r*r**(-3\/5))\/r*r*r*r**6))**(-24) assuming r is positive.\nAnswer: r**(121824\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from nhnaaaannhahahaahn?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjw. What is prob of sequence jj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -5*x**4\/4 - x**3 - 3*x**2\/2 + 3*x + 2600. Let h(y) = y**3 - y**2 - y + 1. Determine 3*h(c) - o(c).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117157 is divided by 232?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3868*f**2 + 34*f + 3868*f**2 - 2 + 3*f**4 - 2*f**4 to the form m*f**4 + x*f**3 + h*f**2 + q*f + l and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -6*l - 24, 0 = -1135*p + 1134*p - 5*l + 12 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 113054 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43208212.\nAnswer: 2, 149, 72497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38593645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + y - 7 = -0*y, 5*y = -4*n - 1. Let t be (-65)\/(-39) + (-4)\/n. Let o = -16\/11 + 113\/55. Which is smaller: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/43818 and -87\/160666.\nAnswer: 481998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1584))**2*-6 + sqrt(1584) + (sqrt(1584) - 1*sqrt(1584)*1) - (-3*(sqrt(891) + -1)*-6)**2)*6.\nAnswer: -1791072 + 35064*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 1, -4*g + 55 - 43 = -2*j. Is ((-111)\/2 - j)\/((-1)\/82) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32052093 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {q: 2, i: 1, a: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 25 = -15. Let s be 0\/m - (-12 - -7). Let g(t) = -6*t + 5 - t + s*t + 0. Determine g(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/40*-15 + (-3)\/(-8). Suppose 6*l = 3*l + 144. Suppose 7*z - 398 + l = c. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8*(-12)\/(-45) + (-1956)\/(-180)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -2, 3, 15, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13527886 to the power of 1\/2, to the nearest integer?\nAnswer: 3678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 729 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/1*(-2093)\/4485.\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znlunzznuunuzul. Give prob of sequence luzz.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16568.906 * -0.5.\nAnswer: 8284.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 130737*w**2 - 4272713931*w - 21366838205.\nAnswer: -(w - 65371)**2*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439704953.\nAnswer: 439704953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(-2*o - 2*o - o) - 4*o + 5*o - 3*o + (-3 + 3 + 5)*(-o - 4*o + 3*o).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 113.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/((((d\/d**(-1\/5))\/d)\/d)\/d))*d*d**2\/d*d)\/(d**(-1\/5)\/d*d*d**(-3)))**(-15) assuming d is positive.\nAnswer: d**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1836 - 1837. Which is smaller: -2\/4881 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 3 - 7 - 1635*t**3 - 50*t + 52*t + t**2 as c*t**3 + u*t + k + w*t**2 and give c.\nAnswer: -1635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n = -60. Let o be 4\/(-35) + 6\/n. Let z be (-1)\/2 - 1\/(-2). Which is smaller: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.2, 2\/21, 2\/11, 7\/6 in increasing order.\nAnswer: -1\/3, 2\/21, 2\/11, 0.2, 7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 14 = 2*p, 2 = 2*p - 2. Suppose 0 = -4*z + q + 7. Let x be (-4)\/(-6) - 16\/(-3). Solve -z*t - x = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33975391, -67950786, -101926181, -135901576, -169876971?\n\"Answer: -33975395*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.896 to 1 dp.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -19*t**5\/60 - 38*t**2. Let y(q) = -2*q. Give y(g(k)).\nAnswer: 38*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - d**2 - 3*d + 44. Is w(0) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49350 or 98699\/2?\nAnswer: 98699\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-294)\/728 + (-2)\/(-13)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/3)\/(((-21)\/(-560)*-24)\/(9\/(-12))).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/67507, -0.2, -0.3, -2\/7 in descending order.\nAnswer: 2\/67507, -0.2, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozoo when four letters picked without replacement from ozoozzz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -27 - (3 + -2 + 0). Let k = o + 34. Let y be (((-3)\/11)\/(k + -5))\/(-3). Is 1 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 + 28*s - 76. What is the remainder when 105 is divided by d(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171472\/353 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -101 in 2, 1\/6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 350 by -10.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34\/5 of a millennium?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2524*c**2 - 3 + 3 + 4776*c**2 as k*c + i + m*c**2 and give m.\nAnswer: 2252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 945587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d**4 + 5*d**4 + 1 - 4*d**4 - 7*d**4 - d as n*d**2 + z*d + p + h*d**4 + i*d**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h - 6. Let g = 308 - 306. What is r(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21230573 or 21230592?\nAnswer: 21230573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 + 94\/(-4))*(-3 - -1). Solve 2*q = -2*c - 16, -10 + n = -c - 4*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2289*l - 543*l + 348170 - 7462 = -2737*l for l.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7))**(2\/19) assuming b is positive.\nAnswer: b**(-4\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g - 22 - 68. Let q(n) = -n**2 - 10*n - 4. Let x be q(g). Solve -x*i + l = -0*l - 23, 5 = 2*i + l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25264739.\nAnswer: 25264739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*c + 5*j = -52*c - 44, 28 = 3*c - j for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-4) - 1\/(-4). Let h(w) = 636*w**3 - w**2 - w + 1. Let s be h(t). Let y = s + -412. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 2*z - 2. Let v be (9\/(-4))\/((-4)\/(-16)). Let f be -9*(-4 + (-33)\/v). Let r be u(f). Sort -2, -1, r in ascending order.\nAnswer: -2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25843 or 25842?\nAnswer: 25843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 766, 1407, 2032, 2641, 3234, 3811?\nAnswer: 4372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 214 = 4121. Let y = -7187\/5 + p. Factor 8\/5 - 2\/5*l**5 - 32\/5*l + 14\/5*l**4 + 10*l**2 - y*l**3.\nAnswer: -2*(l - 2)**2*(l - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -8*o - 4. Let r(h) = h + 1. Let x(k) = n(k) + 4*r(k). Let t(d) be the third derivative of d**5\/30 - 3*d**2. Calculate x(t(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.0439, -21, 1\/3 in descending order.\nAnswer: 8.0439, 1\/3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7813560 and 596?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -1, -23, -247, -2 in decreasing order.\nAnswer: 1, -1, -2, -8, -23, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7634.039um?\nAnswer: 7.634039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-170))\/(-6*(-1)\/(-10)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-12 - (-7 - -8) - -7) - (-20 - -2)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 174642876 to the power of 1\/2, to the nearest integer?\nAnswer: 13215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + -0.33. Let m = -639\/5096 + 1\/2548. Which is the closest to 1? (a) m (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(-35)*(1 - (-30)\/12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**3 - 3*y**4 - 5*y**3 - 13*y**4 + 15*y**2 - 15*y**2 + 5 - y**4 - 5 + (-2*y**4 + y**4 + 2*y**4)*(0 - 1 + 0) - y**4 + 0*y**2 + 0*y**2.\nAnswer: -19*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -683394.208 rounded to the nearest ten thousand?\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 504\/6*49\/(-294).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 343, 14 in ascending order.\nAnswer: -4, 3, 14, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = -85*d - 33 - 16. Put 4, -3, d, -16, -2 in decreasing order.\nAnswer: 4, -2, -3, d, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x**3 - 9*x**2 + 5. Let k(z) = 4*z**3 + 5*z**2 - 3. Calculate -6*f(u) - 11*k(u).\nAnswer: -2*u**3 - u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*t**2 - 6*t**2 + 6*t**2)*(-31*t - 8 + 8) + t**2 + t**3 - t**2 as b*t**2 + q*t**3 + w*t + p and give q.\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/21)\/(30\/(-210))*-3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1451346 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -3*g - 15, -8*s = -4*s + 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472196126.\nAnswer: 2, 421, 560803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*f + 9, -5*f + 3*d - 500 = -491. Solve f*x = 2*x - 5*t - 10, 0 = t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -1. Let g be (-8)\/(-2) + (0 - -1). What is the nearest to d in -4, 3, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-15)*6)\/((-304)\/40)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Let g(o) = -3*o - 1. Let s(x) = 11*x + 2. Let j(d) = -5*g(d) - 2*s(d). Give j(z).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 36.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10063, 10072, 10081, 10090, 10099, 10108?\n\"Answer: 9*s + 10054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 - 73. What is the nearest to 3 in -0.4, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -853, -1692, -2529, -3364?\n\"Answer: l**2 - 842*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 13*c + 3. Let z be t(17). Let k = z + -56. Solve 0*f + k = 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6 + 264\/99. Suppose -24*q = -c*q - 308. Calculate the greatest common divisor of 266 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*n = -0*n + 220, 0 = 3*w - 4*n - 160. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.32 + 1.32073. What is b rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1466280 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -11*l + 1272. What is the tens digit of 10441\/l - 5\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 129, -521, -1967, -4221, -7295, -11201, -15951, -21557?\n\"Answer: -2*b**3 - 386*b**2 + 522*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 3. Let p(o) = -17*o + 23 - 7 + 7*o. Calculate 11*b(f) - 2*p(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.21444\nAnswer: -0.021444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 3*l**2 + 6. Let j be r(3). Let v(t) = -7. Let d(a) = -3. Let p(b) = -5*d(b) + 2*v(b). Let g(i) = 2*i**3 - 2*i + 6. Give j*p(k) - g(k).\nAnswer: -2*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410542851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 39*v**2 + 5*v - 5. Let i(g) = -g**3 + 9*g**2 + 2*g - 6. Let o be i(9). Suppose 0 = 4*n + 2*n - o. Is r(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 3. Let n(m) = 2*m**2 + 5 - 4*m + m**p + m**2 - 5*m**2. Determine n(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.363033ml to litres.\nAnswer: 0.001363033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4*q + 11 = -0*g, -q + 4 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -40 and 128 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 7:02 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*z + 46906 - 41992. Solve -252 = 7*h - z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1\/6 (c) -2\/13 (d) -1.74 (e) 2\/5 (f) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-106)\/(((-57)\/(-6) + -2)*(-2984)\/(-11190))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 10 + 12)*(0*m**3 - m**3 - 2*m**3 + (-2*m**2 - 3 + 3)*(0*m + 3*m - m)) - m**2 - m**2 - m**2 - 2*m**3.\nAnswer: -142*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -1)*(-100 - -99). Sort 20, q, -11 in ascending order.\nAnswer: -11, q, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68747458 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 202 = b, 5*b - 654 = 4*c + 314. Suppose -2*o = 21*n - 23*n + 22, 2*o + 6 = 0. What is the greatest common factor of b and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 13652 = -5*z, -5*a - 50*z = -46*z - 68323. Is a a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, 4, -19, -2 in ascending order.\nAnswer: -61, -19, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*g + 26 = 0, 8*b + 28 = 3*b - 2*g. Let j(l) = -4*l - 1. What is the units digit of j(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2\/7, -0.1, -3, -41, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -57, 0, 250 in increasing order.\nAnswer: -57, 0, 1, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2348803 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 11*u - 7. Let o be n(12). Suppose 91 - 25 = 3*t. Let b be ((-30)\/45)\/(1 - t\/18). Solve -5*s = -3*k - 23, -o = -b*s + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1023, 1024, 1025, 1026?\n\"Answer: l + 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-22)*(-37)\/(-5920)*20?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -16*s - 11. Determine a(-4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38873 = -9052*b + 370490 + 456408 - 141611 for b.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 0. Is 13 a factor of g\/21*(-90)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -5, 3, -7 in descending order.\nAnswer: 3, -5, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 85 = 2*j + 351, -5*j = -3*q + 405. Calculate the greatest common divisor of q and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9880\/110 + 2\/11?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112540277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k. Let g(n) = -n - 2. Let a be g(-4). Let v(u) = u - u + a*u. Calculate t(v(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16977216?\nAnswer: 2, 3, 88423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 6, 80, -3 in descending order.\nAnswer: 80, 6, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42204079*g**5 - 383*g**2 + 4633*g.\nAnswer: -2532244740*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1253232 and 54152.\nAnswer: 8772624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -29*t - 76. Calculate the remainder when 372 is divided by p(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y - 2. Let q be o(-3). Let f(m) = 29*m**2 - 4*m - m - 2 - 28*m**2. Let n be f(q). Solve 0 = -5*i + 8 + n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120573 (base 11) to base 10.\nAnswer: -191018","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is (-1152)\/(-336)*(2016\/(-135))\/8?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 5*g - 2*g)*(-5*g**3 + 2*g**3 + g**3)*(g - g + 2*g).\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47443 and 114?\nAnswer: 284658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 37*d**3 - 90 + 61.\nAnswer: -37*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 34 * 25547\nAnswer: 868598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39039 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 0.3571\nAnswer: -3.3571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -55, -95, -161, -259?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5769, 5197, 4621, 4041, 3457?\n\"Answer: -2*q**2 - 566*q + 6337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28130 + -309436\/11. What is the second smallest value in 37\/4, -3, 2\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-112)*-3)\/((-7)\/(-28))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p + 4 = 28*p. Solve -5*t - p = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -5, -4, -26?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**6\/40 + d**5\/10 - 6*d**2. What is the third derivative of t(i) wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 302196.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 932?\nAnswer: 932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + m + 0*m + (150 + 138 - 277)*(4 - m - 4) + m - 2 + 2 to c*m + t and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - 2*b + (4*b + 0*b - 2*b)*(0 - 5 + 3))*(2 + 0 + 0)*(-2*b - 3 + 3)*(3*b**3 - 6*b**3 + 6*b**3).\nAnswer: 72*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/8 - 1\/8. Let i = 14.7 + -15. Put i, u, -1 in decreasing order.\nAnswer: i, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = 2*t - 7*t. Let h = -5 - t. Calculate the smallest common multiple of 4 and h.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37499, 0, 1\/346.\nAnswer: -37499, 0, 1\/346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(2\/14 - 0). Let g be (-58)\/1711 - (1058\/118 + -1). Put g, -2, k in decreasing order.\nAnswer: -2, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 13. Let v be d(-9). Suppose 2*m = 3*m - v. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3478335672 to the power of 1\/3, to the nearest integer?\nAnswer: 1515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.940947 - -3.94. What is p rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -4349a83?\nAnswer: 4349a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*j - 16 - 36, 3*t + 2*j - 41 = 0. Let u be (13 - -1) + -2 - 3. Let y = t - u. Solve 0 = -y*x + x - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*h**4 + 10435*h**3 - 5216*h**3 - 14*h**2 - 5216*h**3 + 8*h**2 - 18*h**2 to the form b + p*h**3 + k*h + j*h**2 + a*h**4 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 5, h: 6}. Give prob of sequence dh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 12*b. Let t(m) be the second derivative of -19*m - 1\/6*m**4 + 0*m**2 + 0 + 0*m**3. Calculate g(t(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m**3 - 41*m**2 - 4*m - 6. Is 27 a factor of n(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 1:03 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*h + 92 = 0, 79 = 3*i + h + 2. Let l = i - 15. Let n(o) = -o. What is the least common multiple of l and n(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * 21.502.\nAnswer: 1.50514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -21011112221?\nAnswer: 21011112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12944, -51793, -116606, -207437, -324340, -467369, -636578?\n\"Answer: -9*c**3 - 12928*c**2 - 2*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15.778203+-411573\nAnswer: -411588.778203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2865, -2862, -2853, -2838?\n\"Answer: 3*m**2 - 6*m - 2862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/(-176) + 3\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 3*n + 9*n)*(0*n - 3*n + n).\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*n + 13*n + 284954. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**5\/6 + 65*u**4\/3 + 1034*u**3 + 65180*u**2\/3 + 564800*u\/3 + 544000 = 0.\nAnswer: -40, -34, -10, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}