diff --git "a/data/dm_maths/full_data_1/1063_11255.jsonl" "b/data/dm_maths/full_data_1/1063_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1063_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let r(k) = k**3 + 115*k**2 + 1862*k - 3553. Determine r(-95).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 240956.0005755.\nAnswer: 240956.1005755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5648671?\nAnswer: 7, 115279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = -3*d - 24 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 146*l**2 + 299*l - 72. Determine d(-75).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -7. Suppose -1242 = u*j - 74. Let v = -173 - j. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -324, -2602, -8794, -20862, -40768, -70474, -111942?\nAnswer: -167134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + s + 4, 3*a - 7*s - 20 = -2*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**3\/3 - s - 3. Let h be p(3). Let i be 2\/7 - (-141)\/21. Are i and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + -110. Let f = -159 - b. Let j = 4 + -3. Sort j, 1\/9, f.\nAnswer: f, 1\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 3955?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4432 by -1108.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 2*o - 4. Let n(k) = -46*k**2 + 20*k + 39. Give -10*l(t) - n(t).\nAnswer: 36*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135723, 135714, 135717, 135738, 135783, 135858, 135969, 136122?\nAnswer: 136323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1425) + (sqrt(1425) - -2*sqrt(1425)) - sqrt(1425) - sqrt(57)) + (sqrt(171)*-2)\/sqrt(3))\/(2*1*sqrt(75)).\nAnswer: 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36\/5*n**2 - 122\/5*n + 2\/5*n**3 - 84\/5 = 0 for n.\nAnswer: -2, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807840163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 559 - 561. Let n = 2.1 - 1.1. What is the nearest to i in 3, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 500*v**2 + 10*v + 40. Let b(w) = 167*w**2 + 3*w + 12. Let g(c) = 10*b(c) - 3*n(c). Let f(r) = 2*r**2. What is f(g(h))?\nAnswer: 57800*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - ((-6 - (-20 + 5)) + (-3 - 4))) + -30.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 246?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 500281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**8*n**(-2\/39)\/n)**(1\/4) assuming n is positive.\nAnswer: n**(155\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c. Suppose -3*u - 29 = 4*i, -2*i - 9*u + 6*u - 19 = 0. Let x(r) = -16*r + 4. Let g(a) = 31*a - 8. Let n(m) = i*x(m) - 3*g(m). Calculate y(n(d)).\nAnswer: 26*d - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 0, 1, 2, -2.\nAnswer: -2, 0, 1, 2, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bttt when four letters picked without replacement from ttbtbtbbbbbtbb.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 11:33 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/3)\/((-26)\/(-52))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 5:34 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 25 = d, -4*r + 7*r - 15 = 4*d. Suppose 3*a - 869 - 55 = d. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.62 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 - 28. What is the remainder when l is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/335232 and -121\/8064.\nAnswer: 2346624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15442488 divided by -24?\nAnswer: -643437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h. Let w(m) = -m. Calculate 10*u(n) - 5*w(n).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -7. Suppose -2*x - 21 = -t*i + 91, -i - 4*x = -28. Calculate the remainder when i is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 2*s + 3)*(10 + 6 + 24).\nAnswer: 80*s - 240","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1199.22 and -16.\nAnswer: 1183.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -16?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-450)\/(-66)*-3*((-12)\/126)\/(50\/(-70))?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -14, -7, -2 in increasing order.\nAnswer: -14, -7, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -96, -5, -3 in descending order.\nAnswer: 0, -3, -5, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(4*sqrt(225)).\nAnswer: sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*j = -109*j + 318*j - 12493 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 167*v**6\/2 + 286*v**3\/3 + 574. Find the third derivative of l(w) wrt w.\nAnswer: 30060*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-23)*c*(c*c*c**(-2\/31))\/c)\/((c**(6\/5)\/c)\/c**11))**(-3\/16) assuming c is positive.\nAnswer: c**(4773\/2480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/7, 0.05185 in decreasing order.\nAnswer: 1\/7, 0.05185, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -0.05, 2.9, -69 in decreasing order.\nAnswer: 25, 2.9, -0.05, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -354, -2446, -7936, -18522, -35902, -61774?\n\"Answer: -283*m**3 - m**2 - 108*m + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33497 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.4 times 3.2?\nAnswer: -113.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o + 21*o - 56 = -2*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/1848 and -113\/33726.\nAnswer: 134904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 - y + y - 2)*(-209*y + 259*y - 231*y)*(8*y - 23*y - 1 + 1).\nAnswer: -10860*y**4 - 5430*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1356947 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 32 (b) -1\/10 (c) 49141 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*z + 33. Suppose -m + 1 + 1 = 0, -o - 3 = -2*m. Let p(w) = 3*w**3 + w**2 - 4*w + 3. Let b be p(o). Solve b*l = -l + z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2593903, 10375613, 23345129, 41502451, 64847579, 93380513, 127101253?\n\"Answer: 2593903*o**2 + o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**4\/24 - 37*b**2. Let g(r) = -15*r**2. What is u(g(m))?\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*sqrt(242))**2*3.\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 15*u**2 - u - 4. Let c be y(2). What is the common denominator of 2475\/c*(-1)\/10 and (-35)\/18 - 1 - 2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4274.694 weeks to hours.\nAnswer: 718148.592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 12 = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 799650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3156 in 15, -2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*q**3 - 19*q**3 - 6*q**2 + 5*q**2 + q**2.\nAnswer: 27*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6082696785 to the power of 1\/2, to the nearest integer?\nAnswer: 77992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 19. Let l = -3 - g. Let q(o) = 2*o**2 + 3*o. What are the prime factors of q(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1854454.45.\nAnswer: -5563363.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9772 + 12397 + 28931 = -4096*o + 14236 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 12*x - 82. Is 7 a factor of u(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14561 and -94.32.\nAnswer: -1373393.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, 6, -1, -34.\nAnswer: -34, -1, 4, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 245.5 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 + -6. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -799 + -1?\nAnswer: -79a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/f**(-14))*f\/f**0 assuming f is positive.\nAnswer: f**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, -58, -2, 0.4, -0.109, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*f**2 - 3*f - 5*f**3 + f**3 + 3*f wrt f?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 252041*y**3 + 37*y**2 - 43*y + 4. Let l be b(1). What is l rounded to the nearest one thousand?\nAnswer: 252000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71177906*h**3 + 142484*h + 46.\nAnswer: 427067436*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 3*p. Let t be w(-4). Suppose -3*a - t*y - 16 = 0, 5*a + 2*y + 20 = -3*y. Solve 2*f - 4*i = -12, f + a*i - 6 = -2*i for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 835 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + 3*sqrt(1008) + -1 - (sqrt(1008) + 5*(sqrt(1008) + 2) - (2 + -1*sqrt(1008)))) + 3.\nAnswer: -48*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 120\/(-18)*(-96)\/10. Let w(m) = -16*m. Let a be w(-1). Calculate the greatest common divisor of a and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1553 - -1743725?\nAnswer: 1742152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + w = -170. What is the remainder when 80\/(-12)*(1020\/(-75) - -4) is divided by w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/11 and 0 + 1195\/(-50) - (-4)\/10.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 942.0833 years?\nAnswer: 94.20833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 25*j + 0*j**2 - 1\/6*j**3 + 0. Let y(d) = 2*d + 15. Determine s(y(v)).\nAnswer: -2*v - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -201803328 divided by 7104?\nAnswer: -28407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51164 divided by 1?\nAnswer: 51164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/1080 - -7979\/2160. Calculate the common denominator of i and -79\/710.\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5995 and 46325.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2.2. Let z = 0.4 - -0.1. Put z, 1, c in decreasing order.\nAnswer: 1, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -427, -1837, -5681, -13177, -25543, -43997, -69757?\n\"Answer: -203*i**3 + i**2 + 8*i - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**3\/5 - 901864*v**2\/5 + 721496*v - 3607488\/5 = 0?\nAnswer: -450936, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**3\/6 + 10*x**2 + 2141*x. Determine r(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**4 + 3 + 3*b**3 - b**3 + 2*b**2 + 0*b - 2*b - 2*b**4 as o*b**3 + f + x*b**2 + p*b**4 + q*b and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p - 48 = -804 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111010101110011001 + -1000?\nAnswer: 10111010101110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from yyyyryrr.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5045101854 to the nearest integer?\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161651256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -26, 128774 in increasing order.\nAnswer: -26, 0.09, 128774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12359489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 501946454?\nAnswer: -501946453.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-12)*12\/(-9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 + -135. Suppose -2*d + k = -3*d + 2*w, w + 17 = 4*d. Suppose o - d*a - 54 = -2*a, a + 2 = 0. What is the remainder when o is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4 - 5 + 3*o**2 + 2*o - o**2. Let k = -22 - -32. Is p(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26530 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (1 - 1 - (-9 + 11))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 - 3*k**2 - 5*k + 832. Calculate v(0).\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -5. Is 15 a factor of (14\/l - -2)*-10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.595755809 to 3 dps.\nAnswer: 0.596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13436 (base 9) in base 6?\nAnswer: 110053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2))\/(h*h\/h**(5\/2)))**20\/((h**(2\/5))**(-12\/11))**(-19\/2) assuming h is positive.\nAnswer: h**(3622\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - i + 1. Let r(l) = 2*l**2 - 98*l + 578. Let t be 1974\/630 + (-4)\/(-30)*-1. Suppose -t*o + 11 = 8. Let z(b) = o*r(b) - 2*g(b). Factor z(j).\nAnswer: 4*(j - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11451424558 + -0.05941.\nAnswer: -11451424558.05941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of (7 - 11 - 2) + 719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/67 and -25\/1474?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -6\/7, -1\/2, 20?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 394 + -411 + (2 - 1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, 5, 2 in ascending order.\nAnswer: -2, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19350523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 2:36 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246346559?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-12*35\/120)\/((-5)\/5*2\/(-4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 6:42 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -24*s + 5. Let u(g) = -60*g + 12. Calculate 5*u(i) - 12*z(i).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -3. Suppose 4*j + 10 = -4*c - j, 2*j = c + u. Sort c, -3, -4 in decreasing order.\nAnswer: -3, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -26bb?\nAnswer: -26b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.36 take away 4420066.4403?\nAnswer: -4420065.0803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.19.\nAnswer: -0.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 5:04 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 2 in increasing order.\nAnswer: -7, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 0 - 1\/4*r**4 + 8*r + 1\/2*r**2 + 0*r**3. Let w(l) = 2*l**2 - 1. Give 5*v(y) + 8*w(y).\nAnswer: y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**3 - 4 + y**3 + 2*y**2 + 6*y**2 - 3*y**3. Suppose 4*r + 15 - 11 = -28. Give g(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -347\/12 - -181\/6. What is the biggest value in 4, -2\/11, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 24127\/1610)*2.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1656543 - 48778 = -17*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (135 - 124 + 65)*(-4*i**2 + 0*i**2 + 2*i**2) as y + b*i**2 + r*i and give b.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x - 456 + 327 + 129.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 + -54. Is t != 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from yyxxyppx?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 q, 1 f, and 1 e when four letters picked without replacement from eqeevehpeeqffqqev?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 186.69438 nanoseconds?\nAnswer: 0.00000000005185955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18265134, 18265130, 18265126, 18265122?\n\"Answer: -4*n + 18265138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2.6, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8709 + -80?\nAnswer: -8789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 - 92. Let u(c) = 11*c**2 - 7*c + 7. What is the hundreds digit of u(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*(-221)\/(-459)*4 - -18)\/((-4)\/(-174))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17853 is divided by 17851?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20000122111011 (base 3) to base 15\nAnswer: -433864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -257 - -263. Let m(i) = -28*i + 196. Is m(g) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-6) + (-15301)\/22. Let k(x) = -7*x**3 + 2*x**2 - 6*x - 15. Let i be k(-6). Let d = p - i. Round d to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8\/9 + 148\/45. Calculate the common denominator of (-34)\/(-4)*(1 - -1) and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3062570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -896 - -227. Round w to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**3 + 173*v**2 - 664*v + 15. Calculate k(39).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-54)*256\/(-8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -784*i + 789*i - 3*u = -47, 3*u - 175 = 37*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23718, 23749, 23778, 23805, 23830, 23853?\nAnswer: 23874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4583 (base 11) to base 3.\nAnswer: 22020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184145078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2261572?\nAnswer: 2, 565393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*q - 11*q + 4*q**2 + 24*q to z + c*q**2 + r*q and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -60.863825 and -5.\nAnswer: -65.863825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 12 = 2*h, -h = -86*x + 40*x - 186 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**4 - 9*b**3 + 6*b**2 + 32*b - 32. Let c(k) = 4*k**4 - 10*k**3 + 6*k**2 + 32*k - 32. Let l(g) = 5*a(g) - 4*c(g). Find s such that l(s) = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -2*v**2 + 1\/12*v**4 + 0 - 1\/6*v**3 + 0*v + 1\/30*v**5. Let z be f(1). Solve 8 = -k + z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.23 * 47968.4\nAnswer: 59001.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(6*w - 2*w - 2*w) + 10 - 10 - 2*w to the form o + i*w and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 17. Solve b = o*b + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 - 3*n - 5)*(-136 + 104 + 65) in the form q*n + s and give s.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -265 + 258 - (-20)\/14*5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -367.79+0.87893926\nAnswer: -366.91106074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 11237.89842ms?\nAnswer: 0.00001858118125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 30 = 11*u. Let g = u + -1. Solve -g*w = -11 + 31 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) - (-25)\/(-10). Find the common denominator of ((-16)\/40 - 363\/(-20)) + 3 and y - -5*8\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*k + 3*k + k)*(0 + 0 + 2*k) - 2*k**2 - 8*k**2 + 7*k**2 + 12*k**2 - 5*k**2 + 4*k**2 + 2*k**2 - 4*k**2 + 0*k**2)*(0 - 1 + 2).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.74024106 rounded to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 3. Let t be z(-3). Let r = -10 + t. Suppose 13*p - r*p = -25. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/3*(-6 + 3). Suppose 0 = -3*a + 37 - 7. Calculate the greatest common divisor of c and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57631?\nAnswer: 7, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7784 and 5544?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4822 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17597, 17601, 17605, 17609, 17613, 17617?\nAnswer: 17621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*p - 8, 14*q - 11*q - 37 = -5*p. Let l be 138\/30 - (90\/25 - q). Solve b = -4*b + l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/(-30)*(-842)\/(-6)*-2. Let z(v) = -429*v**2 - y*v**2 + 856*v**2. Let d(p) = -5*p. What is z(d(j))?\nAnswer: 150*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 20*w - 15. Let c be q(18). Suppose 3*n + 3*b = c, -3*n + b = -3*b. Calculate the remainder when n is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4*sqrt(242) + 1)*-5 + 2*sqrt(242)*-1*-1 + -5)**2.\nAnswer: -4180*sqrt(2) + 349473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*r - 10 = -c, 0 = -5*c + 2*r + 14. What is the least common multiple of 32 and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from lakpa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22\/21 - 73\/210. Let y = -337 - -1686\/5. Let g = s - y. What is the second smallest value in 0, g, -0.3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 190661 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - w - 270, -5*r - 28*w + 1366 = -29*w. Does 286 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43758 and 7920?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1581 + -0.3581. Suppose 12 = 4*o - 0. Which is the closest to -3\/2? (a) -2 (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1674*p**2 + 312*p - 614*p + 302*p + (-3*p + 2*p + 0*p)*(-1 - p + 1) as d + h*p**2 + c*p and give h.\nAnswer: 1675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2853 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = a + a. Let n be 6\/(-10) - (-14)\/a. Is n*1 - 36\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -7.11405147?\nAnswer: 8.11405147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1659 is divided by 1464?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 128*l + 29. Is n(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 61\/7 - (-4)\/14. Suppose 0 = -324*u + 315*u - 63. Which is smaller: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9*c - 32. Suppose 2*h - 11 = -3*a + 5, 5*h = -a + 27. Suppose x = 1, 3*d + a*x = -3*x - 19. Is 20 a factor of p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*l**3\/4 + 15*l**2\/4 - 321*l\/4 + 105\/4.\nAnswer: 3*(l - 5)*(l + 7)*(3*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 = 125*z + 83*z - 41 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 11 = -3*g, -9*y + 6*y + 5*g = -27. Solve 0 = x - u + 3, -x = 3*x + y*u + 28 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 + (-2)\/(-6). Suppose r + 0 = -q. Let j(t) = -8*t**2 + 9*t + 17. Let g be j(-1). What is the closest to 0.1 in g, 2\/27, q?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 346 divided by 4.\nAnswer: 173\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 965854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16817 + -7615. List the prime factors of b.\nAnswer: 2, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 88*v - 356. List the prime factors of x(10).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 11:46 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -947?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.5 not equal to 7.93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 6 - 2. Let u(p) = p**2 + 3*p + 7. Let h be u(-6). Let c be ((-15)\/h)\/((-2)\/10). Solve 0 = -z*r - c*r - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 18*n - 471. Determine x(-13).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 306 and 4638943.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -32) + -11 - (8 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1065.2705 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.05, -5, -18, 44?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzjkzzjjjzzjk. Give prob of sequence zjj.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1370\/548*(-4)\/100\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3*b**4 - 2 + (18 - 18 + 9*b**4)*(89 - 346 + 130).\nAnswer: -1140*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2124)\/(-81))\/(-1) - ((-280)\/(-63))\/(-20).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1875 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.9 + -0.9. Which is smaller: y or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 911000 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/40 - 6\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-9 - (-6 + -9)) - (-4 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13714446?\nAnswer: 2, 3, 2285741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txt when three letters picked without replacement from {t: 5, x: 5, l: 1}?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3))\/((-1)\/30). Let q be (-1232)\/98 + 8\/14. Let a = q - h. Calculate the lowest common multiple of a and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 - -55. Put 0, -5, j, -4 in decreasing order.\nAnswer: j, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 4:13 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (-72)\/(-30))\/(12\/225)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006518 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + -1 + (-251 - -272)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 a when four letters picked without replacement from yaayyayaaa?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 2, v: 3, r: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0 - 7*x**2 + 0*x**3 + 0*x**5 + 0*x**4 + 2\/5*x**6 + 11*x. What is the derivative of d(a) wrt a?\nAnswer: 48*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -37*d + 140. Let k be w(-40). Suppose -9*m = -14*m + k. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 341 (b) 5\/148 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*z = -2*r - 363*z - 8, z = -5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2933*o + 17731. Determine p(-6).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 18*j**2 + 33 - 3*j + 0*j**3 + 22*j**2 - 23. What is k(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*l = -102*l - 135*l - 1320 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 - (-10)\/245*7. Let i(c) be the first derivative of -2\/9*c**3 + 0*c + k*c**2 + 2. Solve i(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -533 + 530. What is the third biggest value in k, -126, 1\/2?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23553738 divided by 53289?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 52 = 3*g. Suppose 2*x = g + 1. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1183*b - 194. What is the thousands digit of r(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -988 + 1721. Let z = -367 + l. Suppose 0 = 3*b + g - 599, 2*b - z = -3*g + 38. What is b rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/2035682 and -35\/125189.\nAnswer: 46820686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w - 5 + 5)*(1 + 4 + 0 + (-1 - 1 + 1)*(2 - 1 - 3) + 7 + 0 - 3) in the form d + h*w and give h.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbee when four letters picked without replacement from {f: 2, b: 4, e: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 17. Suppose 2*c + u = 5*c. Suppose -3*n + 53 = -c*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118003793 greater than or equal to 118003789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/5, -1, 129.3, -0.379, 1, -0.6, 5\/4?\nAnswer: 129.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h**3 + 6*h**3 + 3*h + 16*h**3 - h to w*h + v + i*h**3 + r*h**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1040\/90 + (-2 - 10) - (-3)\/(27\/67).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 4)*8\/(-32).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -22*p**2 - 1. Let s(y) = -2186*y**2. Determine k(s(v)).\nAnswer: -105129112*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 3:54 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -936 or -8428\/9?\nAnswer: -936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035595 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18334.14 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q + 43 = 21*q - 207. Sort 2, -7, q, 0 in increasing order.\nAnswer: -7, 0, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -24*k**2 + 34*k. Let g(q) = 105*q**2 - 137*q. Determine -6*g(z) - 26*u(z).\nAnswer: -6*z**2 - 62*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 14 (c) 3\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*c*i**3 + 6*a*i**3 - 2*a + 349*c*i**3 + i with respect to a.\nAnswer: -c*i**3 + 6*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86265 by 5.\nAnswer: 17253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + (-1 - -6))\/(32\/(-416))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 - 174 = -492*v - 1703 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0 (c) -264040340\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 1435 = -11666. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 388, 0.03, 6\/11 in increasing order.\nAnswer: -0.1, 0.03, 6\/11, 388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 11:25 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33931*g**3 + 527503 - 527503.\nAnswer: -33931*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33877*-9.\nAnswer: -304893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15922 + 41*j**2 - 7919 - j - 7969 to l*j**2 + z + c*j and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14884*b**4 - 146*b**2 + 4*b**3 - 1 - 1 - 14886*b**4 to w*b**4 + u + x*b + z*b**3 + v*b**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-8)\/j*j)\/(j\/j**(1\/3)))\/((j*j**2*j)\/((j*j*j**8\/j*j*j)\/j)))**(-9) assuming j is positive.\nAnswer: j**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 2960658?\nAnswer: -7\/2960658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 + 0*m**4 - 3*m**4 + (m**2 + 3*m - 3*m)*(-7*m**2 + 6*m - 6*m).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {m: 7, q: 12}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(4\/(-2) - 3). Suppose f - 1225 = -s*z, 3*z + 5*f - 700 = 35. Suppose 0 = y + y + 5*h - 105, 5*y - 5*h - z = 0. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.41 in 5, -0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d = -100. Suppose -2*p = 3*p - d. Let b = p - -9. What is the remainder when b is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 85 = 100. Find the third derivative of -39*b**2 - 5*b**3 + 7*b**t + 57*b**5 + 5*b**3 + 3*b**2 wrt b.\nAnswer: 3840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -5, -1, -35, -14.\nAnswer: -35, -14, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4302?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ottt. Give prob of picking 1 o and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1\/5, 1\/3, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -11*f**2. Let c(l) be the second derivative of 7*l**4\/6 - l + 14. Calculate a(c(m)).\nAnswer: -2156*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7201595 is divided by 438.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89.37 - -3768.37. Let a = 3662.07 - o. Let r = a - -17. Which is bigger: r or 0.04?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1278, 5, 1, -5, -4, -1 in descending order.\nAnswer: 1278, 5, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*p + 444*p + 34566 = -282*p - 26016 for p.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = q. Suppose -10*w + w + 288 = q. What is the greatest common divisor of 112 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 3*f**2 + f + 4. What is v(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -4, 2\/19, 362?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17483 + 17491. Sort 0, -0.5, -3.2, 4, n.\nAnswer: -3.2, -0.5, 0, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 29 (b) 0 (c) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 h, and 1 r when three letters picked without replacement from {r: 2, h: 1, q: 2, w: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 69 - -1fa6?\nAnswer: 200f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - ((-6)\/19 - -2). Suppose -41*q + 23 = -64*q. Which is bigger: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * -0.7\nAnswer: -0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/2*(-310)\/(-25). Suppose 3*l + f = 5*m, 4*m = 5*m + 4*l + 3. Solve 2*i + 1 = -m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.25079t to grams.\nAnswer: 30250790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 32*w + 164. What is y(-15)?\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 25 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 665?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -199*w**4 + 48*w wrt w.\nAnswer: -2388*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6*c + 11720 = 2*c, 0 = 2*y + c - 5854. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0169 - 0.9169. What is the nearest to 1 in -86, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(128)*-1 - sqrt(128)) + -2) + (5*(sqrt(128) + 3)*5)**2.\nAnswer: 30016*sqrt(2) + 85627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109221 is divided by 7116?\nAnswer: 2481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1\/3, 0.2, 17\/40?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 11*v + 7. Suppose -2*h + 15 = -h - 3*u, -2*u - 8 = 0. Suppose h*i + 8 = i. Let n(z) = -5*z - 3. Determine i*t(k) - 9*n(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473*z + 224*z + 233*z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2. Let o(b) = -2*b**2 + 505. Give f(o(h)).\nAnswer: -8*h**4 + 4040*h**2 - 510050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4043833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 144 times 9\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 172\/(-2838) - 4654\/(-62634).\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 539003668 to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -2*d**3 - 98*d. Let q(m) = -11*m. Calculate q(j(r)).\nAnswer: 132*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 1. Let q(w) = 6*w + 5 - 6*w**2 - 8 - 6*w**3 - 2. Let j(v) = q(v) - 5*u(v). Suppose 3*y = 4*y - 4*c + 15, 3*c = -2*y - 8. Give j(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0345 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + f - 5 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1463\/76 + -19)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 4, -q = 106*l - 107*l + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 29*g - 153. Let v(i) = 9*i - 50. Let s(n) = -13*v(n) + 4*z(n). Determine s(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 35. What is the second smallest value in -1\/5, d, 1\/5, 81?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10212 - 10212.000026917. Round r to six dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(1 + 1)\/4. Suppose -3*j = -k*w + 45 + 42, 4*w - j = 125. Suppose r - 1 - 10 = 0. Calculate the remainder when w is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + sqrt(1620) + sqrt(1620)*2)\/(sqrt(1296) - ((sqrt(1296) - ((sqrt(1296) - -5*sqrt(1296)) + sqrt(1296) - sqrt(1296))) + sqrt(1296)))*4)**2.\nAnswer: 361\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**3\/3 - j**2\/2 + 1. Suppose 24*f - 505 = 19*f. Let l(d) = 1 - f*d + d**2 - 94*d + 194*d. Calculate l(t) + z(t).\nAnswer: 2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -20?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 452492504*m**4*y**2 - 2771*m*y**2 - 116237*y**2 wrt m?\nAnswer: 5429910048*m**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 15 = -3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -5 + -25 + (-61 - -51).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403561105 is divided by 166.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18951.\nAnswer: 3, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 - 21*g + 26. Let r be n(5). Put 3\/4, r, -16 in ascending order.\nAnswer: -16, r, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1061 - -1057. Which is greater: 1\/50 or z?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 4*y = 73*y - 483, 3*w - 2*y = -14 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + n + 4*n + 36329*n**3.\nAnswer: 36329*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832))**2 + -2 + 2*sqrt(13) + -4.\nAnswer: 2*sqrt(13) + 826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -1\/19, -3\/182?\nAnswer: -3\/182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 225216382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 3078*m**3 + 74 - 3075*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4 + (1 + 0 + 1)*(-1 + 0 + 3) + 9 + 5 - 5 - 11 + 0 + 4)*(-4*d - 2*d + 3*d)*(d**3 + 4*d**3 - 2*d**3).\nAnswer: -63*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -75*j**2 + 10*j - 4. Let a(l) = 74*l**2 - 8*l + 3. Calculate 5*a(x) + 4*f(x).\nAnswer: 70*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 29*l**2. Let g(m) = m**2. Calculate i(g(z)).\nAnswer: 29*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*b + 165 = -415 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-6) + 1\/(-2). Let s = 307 - 922\/3. Which is the nearest to r? (a) s (b) 1\/3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 + -17 + -3 + 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 20. Let k be ((-76)\/(-6) + 2)*48\/4. Suppose k = 18*w - 14*w. Calculate the remainder when w is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = q - 13. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/39750 and -47\/77168000.\nAnswer: 231504000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {x: 5, u: 3, h: 1, d: 1, j: 4}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4752483.99959 - 4752573. Let n = 19.7 - -69.3. Let w = x + n. What is w rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -1\/8629, 5, -5, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/120*28 - (-12)\/(-6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(891)*1 - (sqrt(891)*1 - sqrt(891))*3)*3)**2.\nAnswer: 200475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 1 + 2*f**3 + f**2 - 5*f**2 + 3*f - f. Is s(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9288 + -4232. Is u a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5 + 52. Let x = o - 189\/4. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 266512417 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.23 + -2.03. Let x = c - -13.1. What is x rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * 0.3.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16789?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 + 201*q + 97067*q**2 - 101*q - 100*q.\nAnswer: 3*q**3 + 97067*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -9.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 53. Let l(x) = 8*x**2 - 2*x - 2. Let f be l(-2). Let o = -3 + f. What is the remainder when o is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53411963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -3)*1 - -225*(-36)\/(-7740).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 75 = -3*v. Let u = 15 + v. Is 24 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**2 - 3*d. Let x(n) = -50*n + 19*n + 23*n. Give k(x(v)).\nAnswer: 320*v**2 + 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 1 = -c. Are -13 and c non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 = 8. What is the remainder when 9 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tftqqqqtqqqqt. Give prob of picking 2 q.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 3*j + 6*j. Suppose 10*b + 113 = j*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/683 - -2209\/27320. What is the nearest to -1\/4 in -4, t, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24099721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 28*m**2 + m + 31. Let x be j(-28). Put -149, 2, x in ascending order.\nAnswer: -149, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*j + 5*g - 34, -55 = -5*j + 3*g. Suppose -5*v + j = -4*a, -4*v + 3*a + 8 = -a. Solve 7 = 2*s + v*t, 6*s = s - 4*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + -21. Let y = -86630 + 86581.917. Let b = y - x. Round b to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/(-66))\/(-5)*39\/(-52)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*y + 57469 = 0, -2*p - 512*y = -517*y - 28745. List the prime factors of p.\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -5*r**4\/4 + 8*r - 8. Find the first derivative of y(m) wrt m.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*r + d - 14, 3*r = 5*d - 10. Suppose -10 = p - r*y, 0 = 3*p - 4*y - 1 - 2. Solve -9 = -p*t + 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -7*w - 30. Let a be 44\/7 + 2\/(-7). Let l = a - w. Solve 0 = -0*o + 3*o + l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**3 - 3*j**3 - 4*j - 2*j**4 + 4*j + 2*j - 2*j**2 in the form k*j**4 + x + i*j + l*j**3 + h*j**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(0 + 1 - 6)*(2 - 2 + 2*t**2).\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -20*y. Let x be i(-6). What is the greatest common factor of x and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*j + 608, 2*k + 2*j = 243 - 3. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -1211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**2 + 13282210*n - 8820855124205 = 0. What is n?\nAnswer: 1328221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n**(-2\/7)\/n)\/n*n*n**(3\/5)*n)**(-1\/16)\/((n**(-1\/3)*n*n)**(-14\/5)\/(n*n**(2\/7))**20) assuming n is positive.\nAnswer: n**(50797\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 11*j + 12 = 0. Suppose 5*s - 27 = 28. Calculate the remainder when s is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from eowffcdc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (1\/4 + 182\/8)\/((-16)\/(-16)) and -1 + -1 + (6 - 0)?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-5) - (-1217)\/5 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157745773623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 8*v**2 - 2*v - 10. Calculate r(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 193*t + 191*t = -10, -i + t = 6. What is the smallest value in i, -541, 0?\nAnswer: -541","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4)\/((-7*26\/5460)\/(6\/(-5)))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3061*y**2 - 3501*y - 18. Let j(l) = 9185*l**2 + 10505*l + 51. Let g(k) = 6*j(k) + 17*q(k). What is the second derivative of g(b) wrt b?\nAnswer: 6146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/5)\/(d\/(d*d**(6\/7)*d)))**(-2\/53)\/(((d*d**(-6)\/d)\/(d**3\/d))\/((d\/(d*d*d**(2\/5)))\/d)**(-28)) assuming d is positive.\nAnswer: d**(27876\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 + 3 + (902 - 6). Calculate the greatest common factor of c and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6197038 rounded to 1 dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 264.63 + -5.63. Let a = -340 + d. What is the biggest value in -5, 2\/13, a, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/5))**(-7\/3)*(u\/(u*u**0*u))**(-48))\/((u\/u**(-1\/16)*u)\/u**(2\/23))**(30\/13) assuming u is positive.\nAnswer: u**(1541921\/35880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(1\/9))\/b**1)**(-1\/27))**48 assuming b is positive.\nAnswer: b**(16\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 533 - -678. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -326267.652 to the nearest one thousand.\nAnswer: -326000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*c = -m - 30, 0 = 5*m - 4*c - 150. Calculate the remainder when 71 is divided by (-8)\/((-48)\/m) - 15\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -99*g**3 - g + 2*g**2 + 10 + 8*g**2 + 188*g**3 + g**2 - 90*g**3. What is s(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1339300*o - 7 + 7 - 372318*o.\nAnswer: 966982*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h - 3*h + 0*h. Let p(o) = 2*o + 5. Let x(l) = -3*l - 7. Let i = 39 + -32. Let v(f) = i*p(f) + 5*x(f). Give z(v(j)).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 1 - 1)*(3 + 1 - 6) - 73*a - 2*a - 10*a.\nAnswer: -83*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.78 and -0.2?\nAnswer: -1.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1906, 4074, 6500, 9184, 12126, 15326, 18784?\n\"Answer: 129*c**2 + 1781*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 5. Suppose -f = -3*t - 405, -4*t - f - 540 = -3*f. Let r be t\/(y + 3\/60). What is r rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24503477.\nAnswer: 17, 1441381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 17320 (base 9) to base 16\nAnswer: 2e95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2. Let d(p) be the third derivative of -p**5\/40 - p**3\/6 + 2*p**2. Let a(b) be the first derivative of d(b). What is a(t(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13437912428 and 0.832.\nAnswer: 13437912428.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, w: 7}. What is prob of sequence ww?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 855 + -855.0000529. What is u rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/2 + 1563*k**2 + 12462*k - 31180.\nAnswer: (k - 2)*(k + 10)*(k + 3118)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h + 2*v + 12 = 0, 5*h - 20 = -4*v. Suppose -h*z = -3*z + 700. Round z to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54069400 to the nearest 100000.\nAnswer: 54100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 12*i - 24. Give c(12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 34206 = 13*m. Suppose 3*d - 8*d = -3*t + 3411, -5*t + 3*d = -m. List the prime factors of t\/6 + 96\/(-18) + 6.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 220 + -209. Let i be 62\/20 - ((-174)\/(-15) - o). Which is the smallest value? (a) -1\/2 (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**2 + k - 2. Let u(c) = 7*c**2 - 13*c + 3 - 7*c**2 + 4*c + 6*c**2 + 8*c. Determine 3*p(j) + 2*u(j).\nAnswer: -3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3\/2, 92, 2, 3.9, 0.2 in descending order.\nAnswer: 92, 3.9, 2, 0.2, -0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.18 + -20.82. Let r = 12 + n. Let v = -7 - r. Which is the third biggest value? (a) -5 (b) v (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 15*z**2 - z + 1. Let j be b(1). Let m be (10\/3)\/(10\/j). Sort m, -3, -1 in decreasing order.\nAnswer: m, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - -7 - (-128)\/2. What is the greatest common divisor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10b9 + 1?\nAnswer: 10ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 103349964 divided by 12?\nAnswer: 8612497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664330.\nAnswer: 2, 5, 31, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 7. Let a be t(8). Let y be a\/((-1)\/(-3)*3). Let d be y + (2 - 0\/(-3)). What is the biggest value in d, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -120*f**2 + 505 + 37*f**2 - f + 45*f**2 + 39*f**2 in the form o + m*f + n*f**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5230555 (base 6) to base 3\nAnswer: 110211221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 8. Let g = 1.04 + -0.04. Which is the second smallest value? (a) s (b) 1\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1956*r. Let z(o) = -o**2. Determine x(z(p)).\nAnswer: -1956*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)*(m\/m**(-3\/5))\/m)**11*(m\/m**(-1\/6))\/m**4*((m\/((m*m**(2\/5)\/m)\/m)*m)\/m)\/(m**(-5)\/m*m*m) assuming m is positive.\nAnswer: m**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-51)\/27 - (-3)\/(-27). Sort 2, -5, v, 0 in ascending order.\nAnswer: -5, v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (3 + -15) - 8) + 4 - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + 497. Let t = z + -331. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 10) to base 2.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1173257662 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 130 * -449.3866.\nAnswer: -58420.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -98, -108, -122?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 564 + -566. Suppose 3*z + 0*z - 150 = -5*l, 3*l = z + 76. Put l, 2, 4, n in increasing order.\nAnswer: n, 2, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 464 in -0.2611, 4, -74?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2211673?\nAnswer: 131, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8817*c - 215583 - 295803 for c.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171374?\nAnswer: 2, 3, 195229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1, 1\/2, -18452?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/13 or -3233790?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -3*a + 5*a. Let q = a + 59. Sort -5, -1, 5, q in decreasing order.\nAnswer: 5, q, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 3*p + 551. Determine k(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6520 divided by 1?\nAnswer: 6520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368403194?\nAnswer: 2, 31, 191677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3 - 286*s**2 = 0. Calculate s.\nAnswer: -143, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2599 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(252)\/(sqrt(294) + sqrt(294)*2))\/(sqrt(12)\/(sqrt(2) - sqrt(2)*2)*-1))**2.\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 17*m**2 + 15*m + 20. Let j be r(16). Suppose j*s - 66 = 30. Solve 5*p - s + 4 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 + -6a?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 5395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/35215 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(1\/(-2 - 10)). Let w = p + -8. Suppose 4*b - w*a = 7748, 5*b = b + 2*a + 7754. Round b to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18291611301 take away -1.43?\nAnswer: -18291611299.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*q + 5334 = -8967 - 3974 for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 55 + 73. Let a = 16 - l. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49378 by 14.\nAnswer: 3527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 553271, 2212852, 4978819, 8851172, 13829911?\n\"Answer: 553193*w**2 + 2*w + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(2*a - 2*a**2 - 2*a)*(33 - 26 + 13).\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s - 5. Let k(j) be the third derivative of -102*j**2 + 0*j**4 + 0*j**3 - 1\/30*j**5 + 0 + 0*j. Determine k(c(m)).\nAnswer: -32*m**2 - 80*m - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65519 is divided by 753?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2. Let c(i) = 5*i**2 + 3*i + 3. Let t(v) = 24*v**2 + 16*v + 16. Let g(l) = -16*c(l) + 3*t(l). Determine r(g(h)).\nAnswer: 64*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15125 + 41?\nAnswer: 15210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 6 = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g + 16 - 7 + g + 2*g. Suppose -3*o - 11 = -2*w, 5*w = 6*o - o + 30. What is the units digit of m(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -20. Let j = -18\/5 + 41\/10. Sort a, 0.1, j in decreasing order.\nAnswer: a, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 6:32 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 0)*3\/15. Which is the smallest value? (a) o (b) -4\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 219\/4 (b) 1\/6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*b - v, 3*b - 36 = -0*b - 3*v. Let d(t) = -t**3 + 9*t**2 - 4*t - 23. Calculate the smallest common multiple of d(b) and 93.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 6. Suppose -c = r*c. Solve -3*j - 8 - 4 = c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34710)\/52065*4\/(8\/(-87)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1834547193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17406.\nAnswer: 2, 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2481 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(28) - sqrt(70)\/sqrt(360))**2 - (sqrt(56)\/sqrt(8)*1 - (sqrt(28)\/sqrt(4) + -2))**2.\nAnswer: 703\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -11*x**6\/40 + x**5\/120 - 125*x**3\/3 + 2*x + 181. Let c(o) be the third derivative of b(o). Let n(v) = -2*v. What is n(c(p))?\nAnswer: 198*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*a**3 + 1\/2*a + 0 + a**2.\nAnswer: a*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171575 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 289, 308, 343, 400, 485?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -128875*g + 13274133. Calculate z(103).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1. Let d(v) = 16*v - 3. Calculate d(p) + 2*g(p).\nAnswer: 16*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 3)*(-3 - 3 + 3)*(-144*v**4 - 13*v**5 + 144*v**4).\nAnswer: 78*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -133, -118, 223, 1052, 2531, 4822?\n\"Answer: 27*z**3 + z**2 - 177*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6800804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 75944*a + 27415786. Determine z(-361).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11616 and 132?\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177 - 102. Let a = 451\/6 - d. Let b(u) = -u**3 + 4*u**2 + 4*u + 6. Let s be b(5). Which is greater: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 812, 2511, 5752, 11051, 18924?\nAnswer: 29887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -712, -744, -776, -808?\nAnswer: -840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = -3*y - 137. Let a = 105 + y. Determine j, given that -2\/13*j + 4\/13 - 2\/13*j**a = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1333124411 (base 5) to base 2.\nAnswer: 1101000000110100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1185 - -1185.08. What is the third smallest value in y, -13.8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Let g(q) be the second derivative of 0*q**2 - 5*q + 2 + 13\/6*q**3. Determine g(a(y)).\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4926355501 a multiple of 3361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-192091)\/(-56) - (-48)\/112. Let f = j - 3424. Find the common denominator of (3*4)\/(66\/20) and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -11*t**2 - 4*t - 3. Let j be w(-1). Is (-106)\/8*j - 87\/(-58) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36708 divided by -483\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -460.1 times 0.5?\nAnswer: -230.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -756030 + o + 473*o**3 + 2*o + 756030 - 3*o.\nAnswer: 473*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4*i - 10, -3*h + 1 + 4 = -4*i. What is the derivative of -8*l**3 + 8*l**3 - h - 4*l**4 wrt l?\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9\/50128 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**1*m))**(-11)*m**(2\/3)\/((m*m**4\/m)\/m))\/(((m\/m**(3\/10))\/m**(-3\/2))\/(m**(-2)\/m**0)) assuming m is positive.\nAnswer: m**(67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-111)\/(-111))\/((1*-2)\/((-8)\/15)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*m - 3065361 = 2126127. List the prime factors of m.\nAnswer: 2, 3, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((5\/1 - (-30527)\/(-6125))\/(-6)). Suppose -5*w = -5*c - 130, -4*w = -4*c + w - 102. What is the smallest common multiple of (-8)\/c + l\/35 and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 - 1. Let h be s(-1). What is x in 0*x**5 - 8*x**5 + 2*x**4 + x**3 + 9*x**h = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 5 (b) -3\/5 (c) -249\/5 (d) 61 (e) -1\/2 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 + -24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/((-30)\/12))\/(1 + 1). Solve 0*f + f - s = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 90, 25, -1, -13, -24 in decreasing order.\nAnswer: 90, 25, -1, -13, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/4360192 and -27\/11264.\nAnswer: 47962112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5457939 and 303?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 25, 0, -42, 1 in descending order.\nAnswer: 25, 3, 1, 0, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j. Let q be (1 - 1)*2\/4. Let r(w) = -w + q*w + w + 2*w. Determine d(r(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express t + 5*t + 5*t + 7*t in the form x + n*t and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**4\/24 + 2*c**3\/3 - 3*c**2 - 55. Let t(f) = -4. Determine 3*m(n) + 4*t(n).\nAnswer: -3*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/308 and 37\/4039696?\nAnswer: 311056592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 619\/774 + -21\/86. What is the third smallest value in f, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-5) - (2 - 2). Let w(n) = -267*n**3 + 3*n**2 + 4*n + 7. Is w(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 5*g**2 + 6*g - 26. Calculate k(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -24*b**4 - 10*b**2 - 8*b + 8. Let m(n) = -n**4 - n + 1. Let w(q) = k(q) - 8*m(q). What is the third derivative of w(u) wrt u?\nAnswer: -384*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -210*w**2 + 3*w + 2. Let r be k(-1). Let x = r - -227. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:25 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4408 + -1494. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j. Let c(u) be the second derivative of u**3 + u**2\/2 - 16*u - 7. Determine -5*c(n) + 4*l(n).\nAnswer: -10*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/115 or -1?\nAnswer: 12\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**2 - 190*b + 346. Calculate c(40).\nAnswer: 746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Suppose -a + 3*a - f - 8 = 0, 2*f = -8. Let p(z) = 18*z**2 - 7*z**2 + 34*z**a. What is o(p(t))?\nAnswer: 45*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y + 4*g - 2, -2*g = 0. Let l(n) = n**3 + 6*n**2 + 3*n - 6. Let h be l(-5). Suppose -h*j = 4*j. Solve -4*a = 4*w - y*w + 6, w - a - 9 = j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 689*t**5 - 185*t - 1 wrt t?\nAnswer: 13780*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 244788150 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than -179\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 626030 + 89220 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.53801576 to one dp.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x - 20. Let u(d) be the second derivative of d**4\/12 - 5*d**3\/6 - 2*d**2 + 8*d. Give u(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 3. Let b be (1 + k)*(-4 + 9). Let m = 7 + b. Are 0 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**6\/10 - 25*y. Factor p(u).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5.7 (b) 0.1 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2613?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, u: 4, x: 2, q: 5}. What is prob of picking 2 q, 1 u, and 1 t?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 = -r. Let z be (4\/r)\/((-20)\/(-45)). Solve 0*k + z*k = 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*o)*(-181 + 5 + 9 + o - 181242*o**2 + 167).\nAnswer: -362484*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.15 + -1.85. Which is the closest to -0.1? (a) -1\/5 (b) -7 (c) 1 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3436.\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.3 (b) -4 (c) -30\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 - p. Let o(t) = -t**3 - 7*t**2 - 2*t. Let r(a) = 6*o(a) - 15*z(a). Let g(d) = -d**3 + d**2 + d. Determine -6*g(h) + 2*r(h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/58888 and 73\/4736.\nAnswer: 34861696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/5 - 1506*w**3\/5 + 7496*w**2\/5 - 11976*w\/5 + 5984\/5 = 0. What is w?\nAnswer: 1, 2, 748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 178152, 712575, 1603268, 2850225, 4453440?\n\"Answer: -g**3 + 178141*g**2 + 7*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25628 equal to 25626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -51, -52, -69, -108?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2) + -10 + 89. Let p = m - 36. What is the highest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 12. Let u be f(-26). Suppose 20*l - 84600 = u*l. What is l rounded to the nearest 100?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2644114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039373807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -47*k + 1. Let w(j) be the first derivative of 2*j**3\/3 - 122. Give p(w(l)).\nAnswer: -94*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 14 = -2*m, m = -m - 2*q + 8. Suppose 6*h - 12 = 4*h. Suppose 5*j = 4 + h. Solve -j = m*w + 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.1 - 21.9. Let r = k + 20.5. Sort 0, r, 5 in descending order.\nAnswer: 5, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10554 - 30644. What is z rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 1\/(6 + -5). Suppose -r*j = 10, -3*c = 4*j + 19 - 2. Which is bigger: -29 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606 = -5*i - 3*t - 647, -4*i = -t + 6*t + 25 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**2\/3 + 284*a\/3 - 10082\/3 = 0?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**4 + 40*f**3 - 41*f**3 + 2*f**4 - f**2 + 5 + f to d + m*f + s*f**4 + w*f**3 + h*f**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6327, 6333, 6339?\nAnswer: 6345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -164.3 - -170. Let d = 5.725 - f. Round d to 3 dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (32 + -19)) + 37.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/10 + ((-162)\/45 - -8). Suppose m*i + 4*h - 22 = 8*h, -4*h - 8 = 2*i. Solve i*s - 1 - 13 = 4*q, -q + 5*s - 8 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -1408, -5, -4, -2 in decreasing order.\nAnswer: 2, -1, -2, -4, -5, -1408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 4:40 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**6\/15 - 5*b**4\/24 - 10*b**2 + 8*b. Let x(p) be the first derivative of t(p). What is the second derivative of x(m) wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b7d + -83eb9?\nAnswer: -84b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1561, -6, 5 in increasing order.\nAnswer: -6, 5, 1561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4074\/873*6\/(-7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -971*v**4\/6 + 4898*v. Let w(t) = t. Determine i(w(m)).\nAnswer: -1942*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114135, -456394, -1026827, -1825434, -2852215, -4107170, -5590299?\nAnswer: -7301602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 616 and 5621.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*a + 5*a. Suppose -3*g + a*f - 14 = 0, -2*f + 0 = -4*g - 2. Factor -2\/5*m**4 + 0 + 6\/5*m**3 - 6\/5*m**g + 2\/5*m.\nAnswer: -2*m*(m - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -0.4, -0.03, -2\/13 in descending order.\nAnswer: 5\/4, -0.03, -2\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 5*v - l, -5*v = -1329*l + 1331*l - 26 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 270286992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493119.\nAnswer: 3, 11, 17, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17576 (base 10) in base 9?\nAnswer: 26088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 53\/2, 684, -22 in ascending order.\nAnswer: -22, 4, 53\/2, 684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*(-2*(3*sqrt(209) + sqrt(209)) + sqrt(209)))\/(5*(sqrt(11) + -2*sqrt(11)) - sqrt(176)*6).\nAnswer: -42*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00677496239 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35512262 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4468 and -24.\nAnswer: 107232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 10. Let c be b(10). Suppose c = s - 3*s + 5580. Suppose 3*i + 1705 = 5*n, -5*i + 0*n = 2*n + s. Round i to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 32. Suppose v - 74 = 4*l + u, -5*v + 440 = 2*l. Let d be ((-15)\/(-1))\/(4 - 3). What is the greatest common factor of d and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h + 14*h + 4. Suppose 8 = h*o, -b = -5*o - 0*o + 10. Solve 4*a + 5 - 1 = b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 9) to base 14.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 - 5096*x**2 - 45986*x - 102280.\nAnswer: 2*(x - 2557)*(x + 4)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -7. Suppose 3*y = -j - j + 26, -54 = -5*y + p*j. Suppose n = 2*n + y. Let x(t) = -4*t - 2. Let f(c) = 7*c + 3. Calculate n*x(m) - 6*f(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 2. Let w be j(15). Let p = -12 - w. Suppose -33 - 2 = -5*g. What is the least common multiple of p and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 - 84. Does 21 divide (-1311)\/115*(-5 - a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 - 3*g + 3*g + (6 + 5*g - 6)*(g + 1 - 1).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, -16, -7, 5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c2 - 11d?\nAnswer: 2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 + (9 - (3 + -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3465 * 0.5\nAnswer: 1732.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 11*q + 20 = 0, 10 - 27 = w + 4*q. Let a = -5 + 2. Put -3\/4, w, a in ascending order.\nAnswer: a, -3\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(110)\/sqrt(10))*-5 + -2.\nAnswer: -5*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 108 in -4, 3\/2, -3, 0.7, 0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.53 in -5, -2\/15, -2, 2\/9, 8, -23?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 202 = -3*y, -2*k - 2449 + 2179 = -4*y. Solve -33 = -5*f - y for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1991 by -5.\nAnswer: 1991\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/14*14\/4 - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1210615086 to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + ((sqrt(75) + -1 - sqrt(3))*-6)**2*6).\nAnswer: -63528 + 10368*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, k: 2}. What is prob of sequence aa?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/19)*c*c**(-4\/7)*c\/(((c**(2\/11)*c)\/c)\/c)*c**(-3)*c*c\/c**(1\/7)*((c*(c\/c**(1\/4))\/c)\/c*c)\/c*(c**(3\/4)*c)\/c*c**(-1\/6) assuming c is positive.\nAnswer: c**(6770\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15867245 at least as big as 15867249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 42561?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, m: 2, l: 4, p: 1}. Give prob of picking 1 v and 1 p.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015297 rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*u**3 - 21*u**2 + 78*u?\nAnswer: 42*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + -1 + sqrt(171) + sqrt(171) + 0 + 1)*1)**2 - ((0 + sqrt(171))*5 + (3 + sqrt(171) + sqrt(171))*3)) + 4.\nAnswer: -81*sqrt(19) + 695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 3, o: 13, q: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a = -1876166 + 1505559 - 2104027. List the prime factors of a.\nAnswer: 2, 3, 71, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21220121 (base 3) to base 14\nAnswer: -215d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-7)\/i*i*i*i\/i**(-4\/3))\/(i**(-3)*i)**42)**20 assuming i is positive.\nAnswer: i**(4880\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = -2*q - 1, -5*q - 8 = 2*o. Let a = o - -2. Suppose -2*f + t + 3397 = -2*t, 0 = 5*f + a*t - 8503. What is f rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 4 - (1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14523433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2263*v - 15 - 31651*v - 16296*v.\nAnswer: -45684*v - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 11. Let f be y + -3 + -2 + 2. Let i(q) = -q**3 - 7*q**2 + q + 10. Let s be i(-7). Put s, 0, f in ascending order.\nAnswer: 0, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 7*f + 7*f. Suppose 4*u + 5*t + 103 - 632 = 0, -3*u = f*t - 403. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(77) - sqrt(77)*1)*1*-6)\/(sqrt(11) + sqrt(704) + sqrt(704)*-3 + sqrt(704) - (sqrt(11) + 4*sqrt(11)*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 986392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*y - 372 = 0, a + y = 3*a - 724. Calculate the greatest common factor of a and 1183.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*2*-6 - (-1*sqrt(110) - sqrt(110))*1)*-1)\/(sqrt(1210)*-1 - (sqrt(10) - (sqrt(810) - (1*sqrt(810) + sqrt(810) + sqrt(810))))).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c**3 + 30*c**3 - 29*c**3.\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3*a = 5*a + 5, -2*p - 5*a + 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 0) + -2 + 4. Let t = 196 - 199. Suppose -6 - 10 = -4*w, -w + 19 = 5*j. Put p, j, t in increasing order.\nAnswer: t, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/((-4)\/(-21))*-2. Let p be l\/2 + (1 - 4). Find u, given that p*u**3 + 0 + 1\/2*u + 5\/4*u**2 = 0.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -438 - -426. Which is greater: -4 or w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*(f**(-3)*f)\/f)\/f*f**(-3)\/f*f)\/(f**(2\/15)*f**(-7)\/f)*((((f*f\/(f\/(f*f**2*f*f*f)*f))\/f)\/f)\/f)**17*(f*f\/f**2)**(-39) assuming f is positive.\nAnswer: f**(808\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 2*w**4 - w**2)*(w + 2*w - w) - 73*w**5 + 136*w**5 + 496*w**5 - 2*w**5 - 3*w**3 + 3*w**3.\nAnswer: 561*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1, -15.9, 114\/107?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (sqrt(133) - 1*(sqrt(133) + sqrt(133)*-2 + sqrt(133))))\/(((sqrt(7) + (sqrt(28) - sqrt(7)))*2 + sqrt(7) - sqrt(7)) + sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 588*w - 1160.\nAnswer: -4*(w + 2)*(w + 145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10077 - 10074. Solve -k = -13*x + 23 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 12*v = -13*v - 2*v - 21, 0 = -9*v + 11 - 2 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.039 - 2.861. Let g = 6 + -3. Let m = g + z. Put 4, m, 3 in decreasing order.\nAnswer: 4, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -7*m + 4. Suppose -2*w + 3*w = 4. Suppose 0 = -d + w - m. Let t(h) = h**3 - 4*h**2 + 2*h - 1. Give t(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v - 4. Suppose 0 = 3*h - 8*h + 15. Suppose 3*q + 3*r - 24 = 0, 2*q = -h*r - r + 20. Calculate the smallest common multiple of q and t(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 + 341. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19528.\nAnswer: 2, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 + 2186*s**3 - 574480*s**2 + 44316832*s.\nAnswer: -2*s*(s - 749)*(s - 172)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q + 280. Let x = q - -122. What is the highest common factor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(76)*1)\/sqrt(4) - (sqrt(19) + sqrt(304) + -4))*-2)**2.\nAnswer: -128*sqrt(19) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 15*d**3 - 50*d**2 + 8*d + 20. Let o be u(3). Is -14\/71 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -248*m**3 + 2*m**2 + 2*m + 1. Calculate c(-1).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 195376, 390728, 586080, 781432, 976784?\n\"Answer: 195352*p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 greater than -4\/2365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6526\/7 - 929. Let v = -18\/7 - t. What is the common denominator of -9\/32 and v?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 205\/63506 or -1?\nAnswer: 205\/63506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 1408.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**3*l*y + 2*i**3*y - i**2*l - 51*i**2 + 2*i*l*y - i + l*y wrt i?\nAnswer: -6*i*l*y + 12*i*y - 2*l - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32944 and 5106320?\nAnswer: 5106320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 162280869115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.016583565 and 5.\nAnswer: 1.983416435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -639*y = -658*y + 2223. What is the remainder when y is divided by 109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g - 27 = -8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*sqrt(162))**2 + (sqrt(24)\/(sqrt(12) + (sqrt(12) - sqrt(192))))**2).\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -111*j**2 - 120*j - 11. Let t be f(-1). Are t and -306\/109 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/3 + 5*f**4\/3 + 7*f**3\/3 + f**2.\nAnswer: f**2*(f + 1)**2*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l**3 - 4*l**2 - 4 - 4*l**3 - 4*l**3. Let w be ((-8)\/12)\/((-1)\/3). Let v(y) = -y**3 + 0*y**2 + 1 - w*y**2 + 2*y**3 + 3*y**2. Give u(d) + 4*v(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42368.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21160, -21166, -21172?\n\"Answer: -6*p - 21154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-63))\/(2\/(-18))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 554815827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 4. Solve -12 = -3*a, 2*n + 32 = 6*n + t*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -3927.4166923\nAnswer: 3924.4166923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 4*o**2 + 5*o + 2. Let t be v(-5). Find the second derivative of -2*u**2 + 5*u**3 + u + 2*u**t + 3*u**3 wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/q**(2\/57)*q)))\/q)\/(q**(2\/15)\/q) assuming q is positive.\nAnswer: q**(174\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27874 = -43*m + 29*m. Suppose 0 = -4*k + 3*v + 9618 - m, -5*v - 5 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 (base 6) in base 3?\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from exxeoqexexqeeqxe.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z - 260600. Let k(h) = -6*h. Calculate k(t(i)).\nAnswer: -24*i + 1563600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - f + f)*(12 - 12 + 51*f) + (-4*f - 5*f + 6*f)*(f - 2*f - f) - 5*f**2 + 3*f**2 + 0*f**2 to y + o*f**2 + c*f and give o.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120645 is divided by 1915?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4336 + -3032?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**2 + 12*f**2 + 17495*f - 17495*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 107?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2. Suppose 2*c - c - 5 = 0. Let b(p) = 2*p**2 + 1. Let v = 2325 + -2324. Determine c*r(z) + v*b(z).\nAnswer: -3*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 9.57, 0.06, -1\/4, -0.2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 2*h**2 + 4*h + 3. Let o be z(-2). Let k(i) = 3*i - 6. Let b be k(7). Let m = b - o. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 - -89. Let n(i) = 5*i**2 + 20*i + 15*i**2 - 3 + 38*i**k - 22*i. Calculate the remainder when n(-1) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 0*z**2 + 3*z**2 + 0 - 6 + 4*z + 5. Let j be (1 + 2\/1)*-1. Does 7 divide f(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baabaasjyjbbjbjsjsss. What is prob of sequence sa?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-7 + 0) - 7. Sort -5, 3, -4, b.\nAnswer: -5, -4, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6 (b) 1915963 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.194 rounded to 1 dp?\nAnswer: 193.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.6 + -3.1. Which is the nearest to 0? (a) 12 (b) 2\/3 (c) i (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - (235 + -244 + 2 + -2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n**2 + 7*n**2 - 9*n**2.\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.01 + 0.01. Let w be ((-4)\/5)\/(2793\/(-1764) + 1\/4). Which is the third smallest value? (a) -2\/3 (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from wzzcdczcczdcdc.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 1 - (-5 + 664\/64)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10)*(-30)\/84?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnvv when four letters picked without replacement from hhhhvhnvhhvhhvhvhvh?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10653 plus 9?\nAnswer: -10644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -378 + 321. Let d be (g\/(-9))\/((-1 - 5)\/(-630)). Calculate the greatest common factor of 35 and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -42 - (-161 - -141)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -414 + 426. Solve -w + 4*q = w - u, w + 3*q = 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2152.42 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 + 4 = 0. Suppose -4*m + 3*m + 4*a = -31, -5*m = -j*a - 185. What is the units digit of (-12)\/(-30) + m\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1366 is divided by 86?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 263484059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-1 - 0) + 2. Suppose 9 = s*t, 3*h - 2*t = -7*t + 24. Differentiate -h*v**3 + 14*v**3 - 5 + 5*v**3 - 3*v**3 wrt v.\nAnswer: 39*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.4, -6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428691 is divided by 5567.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, 20, 4, -2, 8 in ascending order.\nAnswer: -2, 2, 4, 8, 11, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(63\/9 + 148\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4413841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z**2 - 7*z**2 + 14*z**2. Let w(o) = 2*o**2. Give d(w(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0442020252 rounded to five dps?\nAnswer: -0.0442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -86578\nAnswer: 3\/86578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 2*w - 4, 0 = 2*i - w + 3*w + 2. Let v = 2 + i. What are the prime factors of 8 - 3*v\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.3 - 0.3. Let g = 26 - 15.5. Let l = g - i. What is the closest to 0.1 in -2, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3245.\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -304 (base 7) to base 12\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 102790835*k + 106509556 wrt k?\nAnswer: 102790835","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 71. Let y be s(-42). Suppose 2*g - y*g = -20898. List the prime factors of g.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 1808?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 9*k - 5*k + 72 = 0, 5*x - 2*k - 14 = 32 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**4 - 294*f**3 + 14052*f**2 - 224960*f + 211200 = 0.\nAnswer: 1, 40, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k + 2. Suppose 2*t = -3*h + 14, 3*t + 23 = 5*h - 4*h. Let n = h - 7. Let y be n\/(((-6)\/(-4))\/3). What is l(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 20 (b) 0.2 (c) -822\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 142 = 3*y. Suppose 0 = -f + w + y + 84, 440 = 3*f + 2*w. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 10*g - 15*g = -1821079. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 191.34 + -195. Round j to one dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 4*o**2 + 15*o + 5*o**2 + o**2.\nAnswer: 6*o**2 + 15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 8. Let u be i(-4). Let h be (2 - 3) + 21 + u. Determine g so that -5*g + 15*g**2 - h*g - 4*g**3 + g**2 + 13*g = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762 is divided by 53?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 + 27439882*q - 27439882*q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/540 and -53\/20?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2015.36 + 15.4940071.\nAnswer: -1999.8659929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17666*w + 17662*w + 40. Solve w*j = 7*j, 3*t + 6 = 3*j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42010.4 rounded to the nearest 1000?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103352982 by -2.\nAnswer: -51676491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 3*v + 252146 - 252149 = 0, -u + 5*v = -5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2636553704?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 0 (c) 50 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 - (7 + -3)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*304\/64*2\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 1. Suppose 11*f = 7*f - 72. Suppose 4*s - 10 = -s. Let z(w) = -w**3 + w**2 + 9*w - 9. Determine f*k(x) + s*z(x).\nAnswer: -2*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - c**2 + 15*c. What is a(7)?\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 3*s**2 + 2*s + 4. Let x be v(-3). Let a be 5*(-1 - (2 + x)). Suppose 6 = -2*y - 0*y. Is y < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 75*v**2 - 149*v - 386. Let l be o(77). Sort -9, l, 5, 3, 6.\nAnswer: -9, l, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxqqxxxxz. What is prob of sequence xxz?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6778 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157 - 162. Let k(a) = -2 - 8 + 4*a - a + 2*a**2. Is k(b) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/(-770))\/(16\/(-22))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 9*b + 320000 = 0. Suppose -10*s - b = -0*s. What is s rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*u - 412, -3*n + 3*u - 206 = -5*n. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 32*i**6\/3 - 32*i**5\/5 - 71*i**4 + 124*i**3\/3 + 56*i**2 + 16*i + 55. What is l in g(l) = 0?\nAnswer: -2, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(1872))*-4.\nAnswer: -144*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -19093.\nAnswer: 8\/19093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 6*r**2 - 5*r + 12. Let t be j(-5). Solve -t = 5*q - q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*o = 19298 + 30150. List the prime factors of o.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -13 + 1 + 96\/6. Suppose 0 = 5*k - o + 13, 4*k = -3*o + 6*o - 6. Sort k, 5, n.\nAnswer: k, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 163 - -10135?\nAnswer: 10308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57153698?\nAnswer: 2, 7, 643, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1964)\/(-6874) + -3 + 992\/7 + 6\/(-3).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/4427 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35387540 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3 = 3*r, -13324*w = -13325*w - 5*r - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 879.7 - 880. What is the closest to 11 in 3\/2, -5, i?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.75395 less than -4576.5?\nAnswer: -4575.74605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*c - 18 = 4*c, -4*c = 3*w - 33. Let z be ((-18)\/w)\/(-1)*(-80)\/(-6). Suppose 9*x = z*x + 21. Let t(o) = -o**3 - 5*o**2 - 3*o. Determine t(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + c = -13, -c = 3*y - 12 + 1. Suppose y = 3*h + 15. Let l(u) = u + 5. What is l(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/5 + 159*d**2\/5 + 3104*d\/5 - 3264\/5.\nAnswer: (d - 1)*(d + 24)*(d + 136)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2. Let j be f(-1). Suppose 0*i - j*i = -15. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1456460 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9006 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37515429 divided by 37515429.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13692040 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*d - 6, -4*q + 3*d - 4*d = -2. Let u be (8\/(-5))\/((-5)\/25). Let o be ((-4)\/u*q)\/(-2). Solve 2*i + 8 = 4*j - 4, 4*i - 8 = o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 12:27 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005970729691 to five dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 945 and 5375?\nAnswer: 1015875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 8:31 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 0 - 8*m**2 - 7*m - 1. Let v(q) = -15*q**2 - 15*q - 2. Suppose 4*n = 3*n. Suppose 3*k - 4*k + 11 = n. Give k*b(z) - 6*v(z).\nAnswer: 2*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -106 + 1?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-34)\/(-8) - (-4)\/(-16). Suppose b*a - 3*c + 22 = -2*c, -8 = 4*c. Let w(l) = -49 + 0*l + l - 64 + 116. Determine w(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2324)\/3)\/(2\/216*-3). Suppose -4*z + 28450 = -5*a, -3*z + 3*a - 6549 = -h. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*m + 4*w, -4*w = -0*m - 2*m. What are the prime factors of 10530\/72 + (-2)\/m?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00111133 rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(308\/(-275)) - -2. Let y(h) be the first derivative of 4\/21*h**3 + 0*h**2 + 3 - 3\/35*h**5 - 2\/7*h**4 + 0*h + z*h**6. Factor y(c).\nAnswer: c**2*(c + 1)*(3*c - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 28795*i - 192. Determine z(0).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 i when three letters picked without replacement from {u: 9, i: 3, f: 2, w: 4, y: 1}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w + 15 = -51 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 267827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -263*l + 4390. What are the prime factors of c(4)?\nAnswer: 2, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*h + 10, 6*f - 2*f - h = -2. Let n be ((-1)\/(-4) + f)\/((-1)\/(-4)). Let c(q) = 16*q - 23*q + n + 2*q**3 + 6*q. Give c(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + d**4 + 3 + d**4)*(1 + 2 - 2).\nAnswer: 2*d**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/8 in -2, 2, -0.19, 2\/5, -44?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3560859, -3560856, -3560853?\nAnswer: -3560850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 7:10 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-15))\/((-3)\/(-15)). Let c be 16\/2 - 3 - h. Suppose c*m = 10*m - 10. What is the highest common divisor of m and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 92, 82, 70, 56, 40?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, i: 1, u: 1, l: 3, d: 5}. What is prob of sequence dldu?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-748)\/(-4) - (0 - 1). Find the common denominator of ((-75)\/(-35) + 0)\/(r\/14) and -149\/6.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 2:33 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-343)\/588*(-54)\/63. Let 7 - d*c**2 - 13\/2*c = 0. What is c?\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 50*g - 1318. Let o be n(26). Let z = -14 - -24. Suppose 7*r - 5*r = -z. Sort r, 1, o, -2 in increasing order.\nAnswer: o, r, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v - 49*v = -20. Suppose 0 = -x + 2*o - 5, 0 = 3*x + v*x + o - 30. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - ((-28)\/(-21) + (-4)\/3). Solve 2*w + z - 8 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -394950, -789908, -1184880, -1579872, -1974890, -2369940?\nAnswer: -2765028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -704.1*-0.1913.\nAnswer: 134.69433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*o + 9, -2*t = -5*o + 3*t + 5. Suppose 16 = 2*w - 40. Solve q = -5*k + w, -k + o*q = q - 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -2 - -4) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.0062733, 0.05, -1.6 in increasing order.\nAnswer: -1.6, -0.0062733, 0, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82 + 166 + 43*w**2 - 77)*(-2*w**2 + w**2 + 3*w**2).\nAnswer: 86*w**4 + 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -84*s + 21. What is the hundreds digit of j(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Let w be (32\/(-14))\/8 + 2268\/49. Suppose -w = -6*v + 62. Solve -s - s = 3*c + 15, 0 = -q*s - 4*c - v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2. Let f = 111 - 89. Let i(y) = -2*y**2 + 6*y + f*y - 28*y. Determine n(i(g)).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from izq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 7*x + 43 = 0. Let t = -38 - x. Suppose -2*n + 3*p + 41 = 0, 0 = t*n - 2*p - 2*p - 99. Solve -r - 4*r + n = -l, 6 = -2*l + 2*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y - y**2 - 2*y + 377*y**3 + 2*y + 4*y**2 - 1. Let m be t(2). Let z = m - 1524. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 6*v - 3. Suppose 0 = f + 4*f + 10. Let u be (-8)\/(-3*f\/(-3)). List the prime factors of a(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 13 = -2*o + 19, 5*r - 19 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(1\/11)*z*z**(-1\/4)*(z\/z**(2\/5))**(-36)*((z\/((z\/z**(-1))\/z))**(-10\/7))**(1\/40) assuming z is positive.\nAnswer: z**(-4387\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1224 = 25*k - 126. Solve 0 = -13*f + 11 + k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7738454 and 214.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49229.\nAnswer: 19, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -0.035 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h - 24. Let y be i(6). Let r be (-6)\/(-27) + (2 - (-14)\/y). Is 11\/7 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1. Let f(d) = -5*d. Suppose 13*o + 6*o + 0*o - 57 = 0. What is o*i(w) - f(w)?\nAnswer: 5*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 4 + 4 - 1 - 4 + (-3 + 4 + 1)*(6 - 1 - 3))*(-217 + 41*x**4 + 217).\nAnswer: -82*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 1703*b - 91960. Determine t(54).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 1152 = 2*a - 6*n, -n = -a + 585. Suppose -3*m = -6*m + a. Calculate the remainder when m is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.5 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g*((g*g**(5\/3)*g)\/g)\/g*g)*g**(2\/23)*(g**(-1\/2)*g)\/g**7 assuming g is positive.\nAnswer: g**(-1115\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -299, -4, 4, 2?\nAnswer: -299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.63 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 309910.6ml in litres?\nAnswer: 309.9106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 y when four letters picked without replacement from {p: 1, w: 2, d: 9, y: 3, x: 2}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1241\/7 - 177. Let u = 7\/2 - 3. Which is the nearest to -1? (a) -1\/4 (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 22*g + 21. Let d be m(21). Suppose d = -29*u + 22*u - 42. What is the units digit of 234\/14 + u\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**2. Let o = 12 + -11. Let i be m(o). What is the nearest to -1 in -1\/2, i, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -382, -474, -566?\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -235879, 1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19609 + 28068. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from ggagaeggegeg?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*s*v**2*y + 44994*c**2*s*y + 7*c*s*v**2 + 93*c*v - 5*s*v*y - v**2*y wrt c.\nAnswer: -4*s*v**2*y + 89988*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 15848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4144*x**4 - 4*x**2 - 14*x + 1944603.\nAnswer: 16576*x**3 - 8*x - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + 0 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238, -236, -234, -232?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oao when three letters picked without replacement from {o: 12, a: 7}.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 32. Calculate the highest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*q*s*z**3 - 13*q + 38*s*z**3 + 12*z**3 wrt s?\nAnswer: -9*q*z**3 + 38*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2013 - 2?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 k, and 1 p when three letters picked without replacement from {g: 4, l: 3, k: 6, y: 2, p: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/135)\/((-13)\/(-22620)*29).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -76, -1, -38, -2, 6, 5 in decreasing order.\nAnswer: 6, 5, 0, -1, -2, -38, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 8:52 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -25*u + 1327. Let b be d(53). Solve 3*t - t = b*v + 2, -2*t + 4*v + 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -55912.32 and -47580883.\nAnswer: -47636795.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)\/z)\/(z**(-5\/9)\/z) assuming z is positive.\nAnswer: z**(-58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -33.8. Let u = h - -1. Which is the second smallest value? (a) -3\/2 (b) u (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108706 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m**3 + 4*m**4 + 7*m**3 + (m**3 + 0*m**3 + 0*m**3)*(1 - 1 + 2*m) + (-1 + 12 + m - 3)*(3*m**3 + 2*m**3 - 7*m**3).\nAnswer: 4*m**4 - 16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2003360.910001 - -2003362. Let u = q - 1.09. Round u to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -12, -1 in decreasing order.\nAnswer: 4, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 11*x + 2 + 1.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/(-35)*-81)\/((-6)\/20). Let w = b - -108. Solve -2*k + k - 2 = w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, -1, -460, -1103, -1930, -2941?\nAnswer: -4136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -50, -126, -272, -512?\nAnswer: -870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 10*j = -4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 3*r**5\/20 - r**4\/2 + r**3\/2 - 2*r + 32. Factor l(n).\nAnswer: 3*n*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -g - 5. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d - 38*d + 114 = 0. Solve -d*m = -115*m - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 34991211*r**2 + 69982431*r + 34991217.\nAnswer: -3*(r - 11663739)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 423\/(-1)*216\/1944?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 597166.4 decades?\nAnswer: 59716.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8550, -13885, -22780, -35235, -51250?\nAnswer: -70825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119557, 119556, 119557, 119560?\nAnswer: 119565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -149639972.8.\nAnswer: 149639971.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*w + 38*w**4 - 5*w - 31*w**4 wrt w?\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101.1 + 0.9. Let l = n - 101.973. Let y = l - 0.026865. What is y rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 3, 11 in increasing order.\nAnswer: -2, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.187 - -116.813. Let p = u + -111.3. What is p rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 1 - ((-53 - -36) + -26 + 1)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -635*v. Let i(j) = 6*j**2. What is i(n(s))?\nAnswer: 2419350*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 + (-109)\/327. Let w = -0.1 - -0.1. Let x = -0.1 + w. Which is the second biggest value? (a) t (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 10*o**2. Let g be w(-10). Suppose 2*a = 0, g = i + 3*i + 2*a - 640. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/(-33) - 4\/(-22). What is the units digit of n\/4 + (-25)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/73, 4, -1.9, 0, -931 in increasing order.\nAnswer: -931, -1.9, -2\/73, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5860330.4 - -0.01?\nAnswer: -5860330.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/465? (a) 3 (b) 2\/7 (c) -1.576\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 90.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -81*c - 3897. Let i be o(-62). Calculate the highest common factor of i and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -683987, -1367965, -2051937, -2735903, -3419863?\n\"Answer: 3*c**2 - 683987*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -6*v - 136. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(153) + sqrt(153)*-2 - sqrt(153)))**2.\nAnswer: 12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25237718864630 and 1.\nAnswer: -25237718864629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 + 2*f**4 + 0*f**3 + f - 3 + 0*f to n*f**3 + p*f + u*f**2 + h*f**4 + q and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -163 + 166. Suppose -8 - 7 = -5*j. Solve -3*r = a*t + 18, -10 = j*t + t - 3*r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 51*t**2 + 55*t + 57. Let w be a(-50). What is the biggest value in -4, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13441999 rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2416, -2437, -2512, -2641?\n\"Answer: -27*o**2 + 60*o - 2449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.3, 3\/4, 1\/2, 2\/7 in decreasing order.\nAnswer: 3.3, 3\/4, 1\/2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzqzqz. What is prob of picking 1 q and 3 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 + 13252*u**2\/7 - 26512*u\/7.\nAnswer: 2*u*(u - 2)*(u + 6628)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*b + 116*b - 44 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007576764 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 6448*d + 6699*d + 1834*d - 2171*d in the form m*d + l and give m.\nAnswer: 12810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 10)*4\/(-12). Differentiate -5*m**3 - 6 - 3*m**t + 5*m**3 + 8 wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474 a factor of 2798387526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/22 and -75\/526.\nAnswer: 5786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(3\/(-2) + 1). Suppose l = -5*p + 2*z + 23 - 6, -4*p + 4*z + 16 = 0. Suppose -p*m - c + 9 = -10, 3 = -m - 5*c. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (483\/(-14))\/((8883\/504)\/(-47))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -3, -67, 0.34, -4, -1\/3 in descending order.\nAnswer: 0.34, -0.03, -1\/3, -3, -4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4343 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -8*m**2 + 279*m + 595. What is v(37)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-49 - (-1645)\/35)*32\/(-52)\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4\/59, 5, -0.02 in decreasing order.\nAnswer: 5, -0.02, -4\/59, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56180 - 8988711\/160. Let b = g - 5\/32. What is the biggest value in 0.05, b, 0.2, 2\/15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*m**3 - 17*m**3 - 3*m**4 + m**2 - 8*m + 1 - 15*m**3 - 16*m**3 - 16*m**3 in the form f*m**3 + h*m + t*m**2 + c*m**4 + p and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 9*s**2 + 6*s + 45. Determine o(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzuuzahuvhhuahzuhar. What is prob of sequence hr?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-11))**(-28))**(-15) assuming g is positive.\nAnswer: g**(-4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**4 + h**3 + 36*h - 35*h - 2 - 2*h**3 to p*h**2 + o + m*h**4 + t*h**3 + v*h and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(243) + 0 + sqrt(243))*-4 - (sqrt(243) - ((1 + sqrt(243))*2 + sqrt(243)))))**2.\nAnswer: -648*sqrt(3) + 8784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.5648706 + -62.4350554. Let k = -70 - i. Round k to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1487*n**2 - 66*n + 6. Let r(a) = a**2 + 11*a - 1. Give f(z) + 6*r(z).\nAnswer: -1481*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 9737100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuttuuutuuuuuutt. Give prob of sequence ut.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(162) + sqrt(162)*-1 + sqrt(162) + 4)**2 + -5 + 1.\nAnswer: -216*sqrt(2) + 1470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 12:41 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1242.8897?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/2120 and 119\/3816?\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u. Let v(y) be the third derivative of -31*y**6\/360 - y**5\/120 + 7*y**3\/2 - 4*y**2 + 8. Let r(g) be the first derivative of v(g). Calculate s(r(j)).\nAnswer: 31*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 3*s - 5*s)*(-4 + 3 - 1)*(-16 + 4 - 3) to the form m*s + t and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36.281 - -0.081. Let s = w - -36. Sort -0.1, -1, s in decreasing order.\nAnswer: -0.1, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37204 is divided by 7396.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 40*t**2 + 4610 - 4611 - t**2 + (2*t + 4*t - 4*t)*(-2 - 2*t + 2) as d*t**2 + y + h*t and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 l, and 1 a when three letters picked without replacement from poatpplpa?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 2. Let l be 68\/(-20) - (-2)\/5. Let h be (10\/l)\/((-8)\/12). Solve h*z + 16 = -4*n, 0 = -n + y - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 2*k**8\/7 + 11*k**4\/12 - 22*k. Find the third derivative of z(j) wrt j.\nAnswer: 1920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31.98 + -32. Let w = -0.79 + 0.31. Let j = w + v. Which is the smallest value? (a) 3 (b) 1\/5 (c) -2\/17 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1446, -1452, -1472, -1512, -1578, -1676?\nAnswer: -1812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(7752\/(-11077)) + -16 + -18.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 4*r - 85 = 0, -2*r = -17*o + 53 - 108 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.078 (b) 0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 74 = -4*c + 493, 0 = 4*c - 5*f - 399. What is the third derivative of -74890*q + 74890*q + 44*q**2 - c*q**3 wrt q?\nAnswer: -636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/11 - 2*j**2\/11 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/13, 62, -5, -1\/2, -0.149?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (3 + -18)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14201944 at most as big as -14201944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 11:41 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140576?\nAnswer: 2, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6)*o)\/o**2)\/(o*o**(-1))**4*((o\/(o*o\/(o\/(o\/o**(-2\/7)))))**(-2\/57))**(-4\/37) assuming o is positive.\nAnswer: o**(-34471\/4921)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 585\/(-26) + -1 + 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -3, -1\/39, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54266 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15349177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 203\/(-58)*((-72)\/210)\/(-4)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 25*w**2 + 28*w - 39. Let n be f(26). Solve -n*l = 9 + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 7 - j**2)*(2*j + 2*j - 5*j) + j**3 + 0*j**3 - 7*j**3 + 3776*j**3 - 3778*j**3 + j**2 + 48*j**2 in the form t*j + z + x*j**3 + b*j**2 and give b.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -1 + q + 1\/2*q**2. Let h(g) = -g - 1. Calculate -3*h(n) - 4*i(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b - 12 = -68 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2322920 or 2322919?\nAnswer: 2322919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**6\/120 + k**5\/10 + 5*k**4\/24 + k**3\/3 + 3*k**2. Let u be o(-5). Let g(j) = -u*j - j + 6*j. What is g(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Let o be j(2). Let v(h) = -3 - 10 - o*h + 8 - h. Let n be v(-3). Solve -a + 2*a = -n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1136 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*w**2 - 26*w + 2 + 95*w**2 + 32*w.\nAnswer: 63*w**2 + 6*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 880\/12 + (-4)\/(-6). Suppose 9 + 18 = f - j, 2*f + 3*j - p = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 237499*y**2 + 8*y. Let o be q(8). What is o rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*r + 9*r - 11. Let n = 3 + r. Suppose n*j - 2*t - 366 = 0, 5*t + 208 = j + 9*t. List the prime factors of j.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 0*l - 2*l)*(-1 + 1 - 2*l + (-4 - 3 + 6)*(1 - l - 1) - 27952 - 13779*l + 27952 - l + l + l) in the form f + v*l**2 + y*l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32, 127, 284, 503, 784?\n\"Answer: 31*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10552399 to the power of 1\/2, to the nearest integer?\nAnswer: 3248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*p**2*u*x*z + 75*p**2*x - 283*p**2*z + 9250*p*u*x*z + 2*p*z - 2*u*x*z - 3*u - 3*x*z wrt p?\nAnswer: -34*u*x*z + 150*x - 566*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 220019 or 901?\nAnswer: 901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4454 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etththhh. What is prob of picking 1 e and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2835*f + 45971 = 14786 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5619 and -5?\nAnswer: 2.8095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-3)*o*o**(-13\/5))**(9\/4))**33 assuming o is positive.\nAnswer: o**(891\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 40104 (base 5) to base 12\nAnswer: 1569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39781960069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 10*l - 9. Let f be z(-11). Solve -5*g = -15, -2*o + 4*g - 12 = f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 13*j - 25*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*(sqrt(117) - (sqrt(117) + 4))*5)**2.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 552 and 3701298.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.5, 1\/21, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1566 divided by -2.\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or -249?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-9 - -21 - (5 - 4))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849375 is divided by 3725?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 701329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 178.\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0385841958 to 4 decimal places.\nAnswer: -1.0386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46355688.\nAnswer: 2, 3, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 70711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(459)\/(sqrt(9)*1) - ((sqrt(459)*-3)\/sqrt(9) + sqrt(51)))\/((sqrt(189)*1 + sqrt(189))\/sqrt(7)*5))**2.\nAnswer: 17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-33 - 0)\/((-6)\/(-4)). List the prime factors of -3*(l\/6 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 1609248?\nAnswer: 1609243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 13*h**2 + h + 11. Let z(m) = 5*m**2 + m + 5. Let q(y) = 2*p(y) - 5*z(y). Suppose -s = 4, 2*w - 5*s - 5 - 23 = 0. Calculate q(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -114951, 0.5, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from dopouoodosoudwwdopo.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1599802140 + 0.1?\nAnswer: -1599802139.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + 0 - 4) + (-12 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 177807224099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.8, -2.4865, 230?\nAnswer: -2.4865","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19161 + 19296. Calculate the remainder when n is divided by 133.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*m - 229 + 229 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/4 - 5*d**2\/4 - 3*d\/2.\nAnswer: d*(d - 6)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*x - 560 = 0, 2*g + x - 2*x = 552. Let d = g + 102. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/8 (b) -4 (c) 2\/11 (d) -0.1 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {m: 2, x: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3182 + f**2 - 22*f**4 - 3*f + 2*f + 3*f**3 + 3182 to the form t*f**3 + r*f**4 + d*f**2 + w*f + k and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, 86, -0.1, -11, 0.14, -4, 4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {z: 2, o: 1, p: 1, u: 2, r: 1, v: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21.5 and 9.35?\nAnswer: 30.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 10112102102001110?\nAnswer: -10112102102001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -339, -3\/298, -7?\nAnswer: -3\/298","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (24 + -11 + -15 + 3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 284.0000229 + -284. What is r rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64267448\/948)\/(-398)*6\/14.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -189*y. Let l(p) = 73*p + 8. Let f(a) = 1558*a + 171. Let t(u) = 8*f(u) - 171*l(u). Calculate 2*s(x) - 21*t(x).\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 8*u + 8. What is the least common multiple of v(8) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77390986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-112)\/36 + 3. Let s = -0.23 - -0.29. Let z = -0.34 - s. What is the second biggest value in z, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 - 6*f**3 - 2*f**2 + 6*f + 4.\nAnswer: -2*(f - 1)*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 661536217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -42. Suppose f + 3*v - 14 + 9 = 0, -13 = f - q*v. Let w(d) = 168*d**2 - 8*d - 19. Is w(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*r - 2*t, 0 = -36*r + 31*r - 3*t - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-2)\/(-2))*-12. Let q be (-1 + 5)*(-5)\/(-10). Suppose -f = -q*f + p. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 6*q + 4*q**3 - 20*q**3 + 18*q**3.\nAnswer: 2*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c - 2*z - 1974, 3*z + 1575 = 4*c. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0232 - 0.0232. Which is the fourth smallest value? (a) 0.3 (b) -0.3 (c) 1\/6 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175594 = 5564*n + 302910 for n.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 12*p + 304. Give x(24).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1316771?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**3*s**2 - 10615974*g**3 - 2649060*g*s**3 wrt s?\nAnswer: 2*g**3*s - 7947180*g*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose n = s, 3*s = 7*s - 3*n - 3. Suppose t + 3*t - 32 = 4*b, 2*b = s*t - 21. Put 41, -1, b in ascending order.\nAnswer: b, -1, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13196?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -370\/11, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 0*r + 2\/65*r**5 - 8\/39*r**3 + 0*r**2 + 2 + 0*r**4. Suppose c(t) = 0. What is t?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-11)*f**7)\/(f**1\/f**(15\/4)))**(-12) assuming f is positive.\nAnswer: f**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2011*n = 436*n - 29364 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -10. Which is the second smallest value? (a) 1 (b) g (c) 1\/4 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 113*l - 46. Let c(m) be the first derivative of -56*m**2 + 45*m - 160. Let k(w) = 5*c(w) + 4*z(w). Differentiate k(t) with respect to t.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/15920 and 109\/1120768?\nAnswer: 5603840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 208717513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v - 9. Let f(b) = 1. What is -5*f(h) - z(h)?\nAnswer: 5*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 6:09 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 1:00 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2514569775 + 72.2514577575. Let b = t + -72. Round b to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1113730790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1113.0193 + -0.0193. Let i = u - 1116. Let o = 14 + -12.9. Which is the third biggest value? (a) 1\/4 (b) 0.4 (c) i (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Let x be ((-5)\/10)\/((-1)\/l). Suppose -k = -5*q + 18, 2*q + 2 + x = -3*k. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) -0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4269395 or -4269426?\nAnswer: -4269426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 8*y**2 - y. Let d be v(-8). Let o(j) = j**2 + 622 + 2*j - 7*j - 613. What are the prime factors of o(d)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 762*u - 232*u + 979*u to k*u + j and give k.\nAnswer: 1509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 76786421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2bea3 - f44?\nAnswer: -2cde7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74.5 + 74. What is the second biggest value in 13, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 361*i - 315*i + 261 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-98))\/(965\/(-20)). Is p at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*j + 2 - 1, 20 = 2*j - 2*u. Let f(a) = -19*a**3 - 2*a**2 - a. Let o be f(-1). Suppose 0*l + o = 3*l. Put l, j, 5 in ascending order.\nAnswer: j, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**2 + 4*t - 1. Let d(j) = j**2 - j. Let x(z) = -z + 1. Let k be x(-3). Suppose o = 3 - k. Determine o*f(b) - 2*d(b).\nAnswer: 2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from arrdraarrrda.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31\/5 of a millimeter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 487 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 27 (c) -21 (d) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -9*c**3 + c**2 + 4*c + 1. Let r be x(-2). Calculate the greatest common factor of r and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*v + v - 14 = 0, 3 = -3*g + 3*v. Let j be 13 - ((-3)\/g + 1). Solve j = -5*d + i, 0 = -5*d + 4*d - i - 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 + 53*v + 22. Let n be k(-18). Which is greater: n or 118\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 2120002*p - 10600060.\nAnswer: 2*(p - 1060006)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*l**4 - 72*l**3 - 36*l**2.\nAnswer: l**2*(l - 6)*(13*l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 12.400028.\nAnswer: 7.400028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*g = -87*g + 3*b + 7, 2*g - 6 = 2*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 443, 506, 569, 632, 695?\n\"Answer: 63*w + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, n: 1, q: 1, l: 2, u: 1}. What is prob of picking 1 n and 1 l?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*k - 3540, -d + 1158 = 65*k - 67*k. What is the remainder when d is divided by 573?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01208444 to five dps.\nAnswer: -0.01208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1611 divide 18827757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -912, -914, -904, -876, -824?\nAnswer: -742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 172\/7 - 2566\/105. Let j(r) be the first derivative of 2 - 1\/5*r**2 + 0*r + s*r**3. Let j(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-2))*i*i)\/i**13 assuming i is positive.\nAnswer: i**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 p when four letters picked without replacement from {j: 1, y: 7, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27928 + -27925. Let z(j) be the second derivative of 0 + 0*j**2 + 24*j + 0*j**g - 1\/2*j**4. Let l(f) = 8*f**2. Calculate l(z(w)).\nAnswer: 288*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (11 + -41)) + -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 556248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.6 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3 + 5016*z**2 + 10044*z - 40144 = 0 for z.\nAnswer: -4, 2, 5018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 + -5.06. Let u = -9 - i. Let k = -28.4 - -28. Which is the third biggest value? (a) k (b) u (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1418*p + 709*p + 707*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*f - 6 = 0, -22 + 4 = -5*v + 4*f. Factor -v + 2 - 5*u**2 + 24*u + 3*u**2.\nAnswer: -2*u*(u - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 22\/(-10))*(-175)\/7. Do -30 and z have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - -2) + 27 + -32. Sort -2, 1, -41, p in descending order.\nAnswer: 1, p, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**6\/660 - 149*z**5\/66 + 1054*z**4 - 46128*z**3\/11 - 4378*z**2. Solve p(w) = 0 for w.\nAnswer: 1, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(968) + sqrt(968) + sqrt(968))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 6*h**3 + 3\/2*h**4 + 0*h - 3\/4*h**5 + 0 + 0*h**2 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 6. Let a be f(0). Suppose -a*o + 2*o = -20. Suppose -4*j - 40 = -5*l, 2*l = o*l + 2*j - 24. Solve i = 2*z + l, -2*z + 7*z + 21 = 3*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -374188.\nAnswer: 1\/187094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 15*x**2 - 6*x + 1. Let b be k(15). Let l = -61 - b. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*t + 83 = -t, 0 = -2*t + 4. Let n(j) = -7*j - 7. Let o be 1136\/56 - 20 - 4\/14. Let u(g) = 42*g - 9*g + 20 + o - 13*g. What is l*n(b) - 6*u(b)?\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*x = -93*x - 60 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**3 + 2*v**2 - 65*v + 207. Give w(3).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -18. Suppose w - 31 = -i, -14*w + 8 = -18*w. Calculate the remainder when i is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2908*s + 8678*s - 2884*s - 2881*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 4. Suppose -14*l = -97 - 1. What is the remainder when z is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxjjxxjx. Give prob of picking 3 j.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -304*t + 14. Let b(h) = -108*h + 5. Let y(n) = 14*b(n) - 5*d(n). Let g(v) = -v - 11. Give y(g(u)).\nAnswer: -8*u - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - ((-2900)\/146)\/5. What is the closest to -1 in -4, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1314 + 11830\/9. What is the nearest to 3 in -3, q, -10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 10:21 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*t = 26*t + 42*t + 3216 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - p**2 + 125*p + 505. Give i(-4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 735 and 681345.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 13 = -3, 5*j = 4*v - 193. Let z be v\/(-56) - (-2)\/4. Let y = 2 + -3. Put y, z, -0.01 in descending order.\nAnswer: -0.01, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 1184.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 16*u - 15. Let d(x) = -3*x**2 + 47*x - 44. Let h(z) = 17*a(z) - 6*d(z). Let c be h(9). Suppose c = -7*q + 8*q - 2. Solve 7*j = q*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 897a - 6?\nAnswer: 8974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 251, 584, 1061, 1688, 2471?\nAnswer: 3416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7 - 8*l - 7 + 10*l - 4*l. Let w(b) = -563*b. Calculate i(w(u)).\nAnswer: 1126*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1638738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/48696 and -49\/621.\nAnswer: 10080072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804048389 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1686 + 1691. Solve 5*q - 14 - 3 = a, -2*a + 26 = l*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1735879 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -722971 (base 10) to base 9\nAnswer: -1321651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 378 minutes after 6:40 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/2*(6\/(-9))\/((-6)\/(-9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20359\/6 + 6787\/2. Let d(k) be the first derivative of k**2 - m*k**3 - 3*k - 39. Calculate d(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/20 + (-2493)\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vogvogifgigviiivi. Give prob of sequence igvv.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is c114 (base 13) in base 16?\nAnswer: 67b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163965 is divided by 54653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21896 less than or equal to 21897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/((-675)\/(-70))*660\/(-40).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + 16\/(-6) - 304\/(-6) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 10*t**2 + 14*t + 14. Let f be h(12). Let q = f + -468. What is the remainder when 2 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -15*q + 995. Give f(67).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102\/170*-25*11\/1705.\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(((f*f**2\/f*f)\/f)\/f))*f*f)\/f*f*f)\/f)\/(f**(-2\/9)\/f)*f\/f**5*f\/f**10 assuming f is positive.\nAnswer: f**(-79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y - 29. Let l be b(-4). Let r = l - -40. Let d(u) = -78*u + 29. Is d(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26513 and -515.86903.\nAnswer: 25997.13097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1083 - 729. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 35829*z**2 - 106958520*z - 106994352.\nAnswer: -3*(z - 5972)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*w = -71, -4*w - 79 + 29 = 5*t. Suppose -300*s - 80 = -292*s. Is s greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, u: 1, y: 6, l: 3}. Give prob of picking 1 l and 2 d.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 635 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 9 = -z + 25 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8\/d*d)**5*(d**(-2\/11))**39 assuming d is positive.\nAnswer: d**(362\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1468)\/(-164) - 854\/(-17507)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 6309.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**5 - 370*z**4 + 860*z**3 + 7270*z**2 - 24855*z + 17100 = 0. What is z?\nAnswer: -76, -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**2 - 1\/15*n**6 - n**4 + 4\/3*n**3 + 2\/5*n**5 + 0 + 3*n. Let q(m) = 0. What is m?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(26)\/(5*sqrt(50)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 x, and 2 m when four letters picked without replacement from mzmmmmmmxmmmm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1937 - 2197 + 260 - 411*q.\nAnswer: -411*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 41, 1, -6394, 3, -1 in increasing order.\nAnswer: -6394, -4, -1, 1, 3, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by -57848?\nAnswer: -33\/57848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgsp when four letters picked without replacement from glgpllsslsplllsl.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78357984?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15410*b**3 - 13279*b**3 + 28691*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(2) + sqrt(32)))**2 + 1*sqrt(6)\/sqrt(3))*-2.\nAnswer: -900 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 7060747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20795, -83114, -186973, -332366, -519287, -747730, -1017689, -1329158?\nAnswer: -1682131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o*x**2 - 74577*o*z - 568956*x**2*z wrt o?\nAnswer: x**2 - 74577*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 34920*l**2 - 304816677*l + 609773042.\nAnswer: -(l - 2)*(l + 17461)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -285 equal to -1143\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**2 - 148. Let o(y) = 7*y**2. What is k(o(q))?\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52 and -0.7034?\nAnswer: -36.5768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -61*f**2 + 11 + 24*f**2 + 110 + 34*f**2 wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + n**2 - n + 44. Let k be g(0). Let y = -333\/730 + -16\/365. Put -4, k, y in increasing order.\nAnswer: -4, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 2*i**2 - i - 13. Let d be c(0). Suppose x - 3*x = -36. Let f = d + x. Solve 0 = 3*t + 3*z - 3, f*z = 4*t + 21 + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*11\/(-12) - 2\/3. Suppose -4*h + 392 = v*h. Calculate the highest common divisor of h and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58699.329 + 58741. What is i rounded to 1 dp?\nAnswer: 41.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, e: 1, u: 2, w: 10, c: 3, i: 2}. Give prob of picking 1 i, 1 n, and 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*g - 101688 = 8*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/(-14*(-48)\/896).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**3\/3 - 7*z**2\/2 + 6*z - 5. Let d be j(-9). List the prime factors of (-6)\/(-9) - 1744\/d.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002712074 rounded to 7 dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**4\/2 - 72633*r**3\/2 + 435717*r**2\/2 - 653535*r\/2 = 0?\nAnswer: 0, 3, 24205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 12:11 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -167*x**3 + 153646*x**2 - 24*x - 106771.\nAnswer: -1002*x + 307292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1919*t**2 - 1010. Let g(p) = p**2 - 1. Let c(r) = -1010*g(r) + v(r). Let n(k) = -2*k**2. What is n(c(j))?\nAnswer: -1652562*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274 by 137.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -362 + 373 + (-4 - -10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1\/4, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - (2 + 2) - (9 - (8 - 4)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 86903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:33 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b (base 15) to base 14.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m**3 - m**2 + 3*m - 6. Let y(r) = -2*r**3 + r - 2. Calculate w(c) - 3*y(c).\nAnswer: 15*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 7*y**5\/2 - 411*y**4 + 1163*y**3\/2 - 174*y**2 = 0.\nAnswer: 0, 3\/7, 1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.71 + -0.29. What is the third smallest value in 0.7, k, -3\/2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.4111 + -63.5879. Let u = q + -0.001. Let y = 65.9999898 + u. What is y rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:10 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707479\/4 < 426871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2 - 5*y + 1. What is i(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 880 and 15200.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5)\/l*l)\/l*l)**(-7)*(l*l*l\/(l**(1\/4)\/l*l)*l)**(-30) assuming l is positive.\nAnswer: l**(-1153\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = 10*y + 3*u + 2, 5*y = -2*u + 24. Let i = -2 + 6. Solve y*q - 5 = -5*v + 8, i*q - 8 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(-1)*m))*m)\/m)**29*m**(1\/6)*m*m\/(m\/m**(4\/7)) assuming m is positive.\nAnswer: m**(73\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8318.36cm?\nAnswer: 83183600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.279 plus 0.1?\nAnswer: -0.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ad2ac2 - 26?\nAnswer: -1ad2ae8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3223, -3230, -3237, -3244, -3251, -3258?\n\"Answer: -7*s - 3216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*2\/12)\/(3\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1306288113?\nAnswer: 3, 13, 83, 403549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p + 2*p**2 + (-3 + 3 - 2)*(-13 - 12*p**2 + 13) - 2*p**2 - 4 + 4)*(-5 + 6 + 1).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 1, b: 2, y: 2, z: 2, q: 1}. Give prob of picking 2 b and 1 q.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 9*j**2 - 3*j - 31. Suppose 5*q + 49 = b, -7*b = -q - 9*b - 1. Give o(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -20 + (-29 - -20) + -2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*(4 - (1 - 1)). Let x be ((-120)\/q)\/(1\/(-56)). Suppose x = -15*p + 20*p. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-17)\/(255\/175)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**2 + s. Let u(o) = -o**2 - 11*o - 11. Suppose 3*g - 96 = 9*g. Let j = g - -6. Let h be u(j). What is f(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/203 and 52\/77.\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/8 - 5*i**3\/8 - 9*i**2\/4 + 5*i\/2 + 7.\nAnswer: (i - 7)*(i - 2)*(i + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 160*b**2 - 1315*b - 1950.\nAnswer: 5*(b - 39)*(b + 2)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 5290*s**7\/21 + 1089*s**4\/4 - 88*s - 46. Find the third derivative of x(a) wrt a.\nAnswer: 634800*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*k + 7965 = -301*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**3 - 2*k**2 + 6*k - 3. Calculate m(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s - 495483 = -r, 0 = r + 5*s + 68284 - 563767. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191a37 (base 15) in base 7?\nAnswer: 13242553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 151, 205, 271, 355, 463?\n\"Answer: i**3 + 47*i + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 6. Let h be ((-2)\/4)\/((-5)\/90). Let z be (-3)\/(-2)*24\/h. Which is the nearest to 1? (a) 2\/13 (b) s (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -116*p**3 + 7*p**2 - 7. Let m(n) = 77*n**3 - 5*n**2 + 5. Give -5*c(o) - 7*m(o).\nAnswer: 41*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*3\/((-9)\/4227). Suppose g = -3, -2*f = 4*g - 1035 - p. Suppose -o + f = 3*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 0*u**2 + 4*u**2)*(3*u**2 - 3*u**2 + 2*u**3) - 11*u + 11*u - 7*u**5.\nAnswer: -3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 4:46 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 83853 = -1547. Round o to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2623 + -2613. Let v(b) be the second derivative of 1\/2*b**3 + 0 + p*b + 3\/2*b**2. Calculate v(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17\/7 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92 or 38315?\nAnswer: 38315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, s: 8, m: 7, b: 1}. Give prob of sequence mss.\nAnswer: 49\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 0*l**2 + 2 - 4 + 17*l**2. Let j be k(1). What is the greatest common factor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 592*y - 1161*y + 585*y.\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 218357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12201 (base 3) to base 2.\nAnswer: 10011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 23*c**2 + 29*c + 157. Let u be o(-22). Solve 3*x - 2*x = -u*s, -2*s - 2*x - 4 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9078267 is divided by 2741?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1400.5 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 1. Let s(d) = -1. Let f(v) = -r(v) - 2*s(v). Let w be 2\/4*(4 + -4). Calculate f(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/165 and -115\/278496.\nAnswer: 15317280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*d = -4624, 5*v + 0*d + 5*d = 4625. Calculate the greatest common divisor of v and 264.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s + 22 + 0*s**2 + 3\/2*s**3. Let x(l) = 19*l. Give x(z(b)).\nAnswer: 171*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 641*n**3*q**2 + 34*n**3 + 2*n**2*q + 10264*n*q**2 - q**2 - 2 wrt n?\nAnswer: 3846*n*q**2 + 204*n + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55753549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -20*a + 15. Suppose -5*i + 9 - 14 = 0. Let p(r) = r - 1. What is i*s(h) - 15*p(h)?\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 378259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from crrcodzwwdwowwrwwwww.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z - z**2 - 54 + 24 + 35 + (-4*z + 0*z + 2*z)*(z - 6*z + 3*z) in the form a + o*z**2 + j*z and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246*-5.\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -16*w - 1. Let i(n) = 15*n + 2. Let q(c) = 3*i(c) + 2*r(c). What is the first derivative of q(h) wrt h?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 14 - 1 = 0. Suppose 4*b - 22 = -t*x, -3*b = 2*x + x - 18. What is the units digit of (-2 + b\/3)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -56*o + 55*o, -p - o + 15 = -10 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f + 61. What is i(-3)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -663\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*b - 2 - 4 = 0, 5*w = 5*b + 15. What is the second derivative of 3*j + 12*j - 18*j**w + 4*j wrt j?\nAnswer: -216*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*g = -10094 + 472 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * -6231330.\nAnswer: -436193.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -396 divided by 4?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21545 - 21545.1. Which is the closest to -5? (a) n (b) 3\/5 (c) 71 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**3\/3 + 49644*g**2 + 506317*g\/3 + 59566 = 0. Calculate g.\nAnswer: -29783, -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 13770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -1. Let s be 2*(j\/2 - 0). Let g = -13.5 - -13. What is the nearest to s in -5, 2\/13, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1 = -4*d - 19, 0 = -4*z + 5*d + 21. Suppose 3*q + 2*l = 1841 + 590, z*q + l - 3238 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2. Let b(l) = 172*l**2 + 6*l - 12. Let v(u) = -13588*u**2 - 473*u + 946. Let w(y) = -473*b(y) - 6*v(y). What is w(a(d))?\nAnswer: 172*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = v + 23*v. Suppose 0 = -3*s + 3*o, 2*s - 5*o + 20 = v*s. Let m = 3 + -1. Solve m*n = 8 + s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0496123372 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688660887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1262548411 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -3 + (8 - ((-7 - 0) + 32)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/9)\/(-11 - 274\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 49333207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6437 and 1025?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 q when two letters picked without replacement from {n: 1, u: 1, g: 2, c: 1, q: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d = 25*d - 10. Factor -2*l**5 - 15*l**3 + 5*l**4 + 0*l**5 + 7*l**d - 1293*l**2 + 8*l + 2*l + 1288*l**2.\nAnswer: 5*l*(l - 1)**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1205, 2587, 4145, 5879, 7789?\nAnswer: 9875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -13 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4165 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9689869 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(192)*-2))\/(-6*-1*sqrt(196)).\nAnswer: -sqrt(2)\/336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1*(-59)\/60) + 6272\/5376?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 4*z = -2*b - 3, b + 19 = 4*z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**7\/210 - k**6\/50 - k**5\/10 - k**4\/30 + 3*k**3\/10 + k**2\/2 + 3053*k. Suppose d(u) = 0. What is u?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4833 and 2241?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5 + -2*sqrt(612))*-5)**2 - ((sqrt(68) - (sqrt(68) - 2*(sqrt(68) - (sqrt(68) + 3*sqrt(68)))))\/(sqrt(4) - -4*sqrt(36)))**2.\nAnswer: 6000*sqrt(17) + 20896238\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-2*-4)\/sqrt(9)*-4 + -5 + sqrt(33)\/(sqrt(3) - (sqrt(48) + sqrt(3) + sqrt(3)))*-4 + sqrt(99)\/(1*sqrt(36)))**2.\nAnswer: 307*sqrt(11) + 1039239\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 5, -2\/7, -1.4, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a8b9 - -2?\nAnswer: a8bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 428369*y**2 - 780481.\nAnswer: 856738*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkqkqkkkqk. Give prob of sequence qq.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n*n\/(n*n*n**(-3\/5))*n)\/n)\/n*n**(-3\/5))**(3\/5)*((n*n**0)\/n)**(22\/9)\/((n\/n**(-4))\/((n\/n**1)\/n)) assuming n is positive.\nAnswer: n**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 3*t - 2*t + 32 = 0, 113*y + 94*y - 212*y + 3*t = -3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4683465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.11 times -10?\nAnswer: 21.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 12*s = -6. Suppose 4 - s = p. Solve 16 = 4*o - 4*q, p*q = 4*o + 3*q - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -221 - -220.999929. Round o to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4330*f - 4330*f - 303*f**2 + (-f - f + 4*f)*(502 - 502 - 54*f) + (2*f + 4*f - 4*f)*(-2*f + 1 - 1) to the form m*f + y + g*f**2 and give g.\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 56*v**2 + 68*v - 20 - 4 + 12*v**3 - v**3.\nAnswer: 4*(v - 3)*(v - 1)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.42582924 to 4 decimal places.\nAnswer: -3.4258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 750 + -207. Let t = 532 - h. Let n(i) = i + 6. What is n(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 91\/4 of a millennium?\nAnswer: 2275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.6 - 4.2. Let k = 0.355 - v. Let t = -1.005 + k. What is t rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 960\/(-2240) - -2*(-243)\/42.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 372*g + 2940. What is the remainder when 722 is divided by s(8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a1763 (base 11) to base 12.\nAnswer: -1a851b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 9*m - 18. Let o be v(11). What is the second derivative of 4*a**4 - 6*a**4 - 7*a**o + 12*a wrt a?\nAnswer: -108*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262011848?\nAnswer: 2, 7, 4678783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.12123 centuries to months.\nAnswer: 31345.476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 74647.9 + 0.04\nAnswer: 74647.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 - 33*d + 16. Calculate o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d - 2653*d**2 + 2420*d**2 - 24*d + 11*d - 1.\nAnswer: -233*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-66)\/22 - 161\/(-49). Let l be ((-10)\/3)\/((-1)\/(-3)). Put l, -1\/3, f in ascending order.\nAnswer: l, -1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -15*j**3 - 13*j**2 - 15*j - 2. Let v(m) = 8*m**3 + 7*m**2 + 8*m + 1. Let d(l) = -6*p(l) - 11*v(l). Calculate d(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 n when four letters picked without replacement from fnfgnngnnfff.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) -0.2 (c) -1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 619*b - 68703. What is k(96)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 26*j - 57. Determine x(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a millimeter in micrometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/9)\/((-15)\/9). Which is the nearest to 1? (a) y (b) -5 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -0.793.\nAnswer: -5.551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 4*d + 3*v - 146, -4*v = 3*d - 266. Suppose 3*k + 111 = -3*x, 25 = -3*k - x - d. Let w = 34 - k. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) 5\/1032 (c) -7 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnplnnlnnnllnlnnll. What is prob of picking 3 n?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 986377?\nAnswer: 7, 29, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 84, 354, 816, 1476, 2340, 3414, 4704?\n\"Answer: q**3 + 90*q**2 - 7*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2*i = y + 4, 0 = 2*i + 154 - 146 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -16*i**3\/3 + 10*i**2 + 10*i - 138. Let z(c) = 2*c + 1. Let m(t) = -4*d(t) + 40*z(t). Let w(b) = 2*b**2. Calculate m(w(h)).\nAnswer: 256*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -23*a**2 - 8*a + 17. Calculate n(-2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 8*c**2 + 69*c + 15. Let j be q(-13). Which is greater: j or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -306436*a**4*r**2 - 92*a**4 + 2*a*r**2 - 2*a*r + 2436*a - 6*r**2 + 1786 wrt a.\nAnswer: -3677232*a**2*r**2 - 1104*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5686515, -5686529, -5686545, -5686563, -5686583, -5686605?\n\"Answer: -f**2 - 11*f - 5686503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 10*i**2 - 9*i - 14. Let a be t(10). Let n = -104 - a. Suppose -7*z - 66 + 94 = n. Solve 6 = -r + d, 0 = 3*r + 2*r + z*d + 21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**6)\/(t**16\/t))**(7\/6) assuming t is positive.\nAnswer: t**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-2) + 6 + 552\/(-78). What is the closest to -3 in d, 2, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937 is divided by 299?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -64 - 119299452.9723\nAnswer: -119299516.9723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14481\/1736 - -268\/31. Calculate the common denominator of 55\/18 and d.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167716271 divided by -491\nAnswer: -341581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - -1*sqrt(110))*-6 + sqrt(110)*-1*2)\/(sqrt(50)\/(sqrt(40)\/(sqrt(8) + sqrt(32)))*-2)*-4.\nAnswer: -28*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 + 1714*j\/3 - 5140\/9.\nAnswer: -2*(j - 2570)*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 25 = 3*y, -15 = -3*d + 2*y - 3*y. Suppose -59 = -2*w + w + 4*f, -2*w + 118 = d*f. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - w. Let b(u) = 8*u**2 + 3*u. Let t be (-2)\/(-4)*2*1. Let l be t\/4 + 11\/4. Let q(h) = l*x(h) + b(h). Let r(f) = 2*f. Give r(q(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 15) to base 10\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111010 + 111001001111?\nAnswer: 111111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111 (base 6) in base 12?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = 2. Calculate the common denominator of -3 + (81\/(-6) - y) and -39\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3213 and 153.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaajjjjjaajj. Give prob of picking 1 a and 1 j.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 11. Suppose i = k + 3*k - 20. Find the second derivative of -k*w - 2*w + 5*w**3 - w - 2*w**3 wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 26*v**2 - 25*v - 89. List the prime factors of s(-26).\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-69573)\/30 + (-2)\/(-2). Let u = k - -2324. Let h = 1\/816 - -13459\/4080. What is the common denominator of h and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/15, -156, -1\/4, -0.001?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10142359438 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3*d + 10 = -2*d, 0 = -m - 3*d - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 - 21*v + 12. What is t(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245 divided by -5.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2 - 7. Let l be (k + -4 + 2)*-11. Let m = 24 + l. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-966)\/240 + (-212)\/(-8480)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) -5 (c) 1\/5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31503328 to the power of 1\/3, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -13*z - 47. Let q(g) = -2*g**2 - g - 18. Let c be q(0). Does 11 divide v(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 12*j + 83. Let c(x) = 7*x + 42. Let r(o) = 5*c(o) - 3*z(o). Give r(-24).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10967 + -10973. Which is smaller: d or 0.33?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3250*q**2 + 3105*q**2 - 24 - 6357*q**2 - 17*q**3.\nAnswer: -17*q**3 - 2*q**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*t - 1 + (-4*t - t + 4*t)*(-1 + 1 + 2) + (-110 + 620 - 1971)*((0 - 5 + 2)*(-t - 2 + 2) - 3*t + 4*t - 3*t) as z + b*t and give b.\nAnswer: -1460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -247976 - -247772.686. Let p = s + 0.314. Let c = -202.9999787 - p. What is c rounded to six decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/114 and -37\/27?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 5)*(-3)\/12*-2. Suppose 0 = o + 3*s + 3, -i = 3*s + 7. Suppose -2*q = o - 26. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714201601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Suppose -p*w - 8*w = 24. Let j(b) = 2 + 24*b + 3*b**3 - 8*b - 5*b + 2*b**2 - 9*b. Calculate j(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by 23.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -x + 4*x - 6, 0 = -x - 5*b + 18. Suppose 3*l + x*u = 21 + 6, 3*u = 12. Suppose -123 = n - 4*n - l*c, 0 = 3*c. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 7 = -3*r, -5*r + 4*j - 9029 = -18087 + 9039 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**6\/40 + 19*p**5\/60 - 433*p**4\/12 - p**3\/6 - 2*p**2 + 427*p. Find the second derivative of v(q) wrt q.\nAnswer: -18*q + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 17 - 77 = 0. What is the remainder when 77 is divided by p\/((-125)\/(-315)) - 4\/(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4693898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/18)*g**(-4)\/g)**(-19) assuming g is positive.\nAnswer: g**(1691\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*c + 9*c - 874. Let g(k) = 5*k**2 + 9*k - 21. Let z be g(4). Calculate the greatest common divisor of c and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/17382 and -1\/225966?\nAnswer: 225966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (1 + (-1 - (-2 - -3))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -222 + -1442?\nAnswer: -1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 10:50 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50640.\nAnswer: 2, 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from zmzccmyzmmmcz?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + w + 333, 2*k = -3*k - w + 423. Let p = 29 - 17. Calculate the highest common divisor of k and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2917595, 2917594, 2917593, 2917592, 2917591?\n\"Answer: -l + 2917596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -56. Suppose 7*h = 41 + g. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9566517 - 9566517 + 8*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -13. Is 8 a factor of (s\/(-6)*1)\/((-76)\/41154)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12200 - 1?\nAnswer: 12155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 23*p - 42. Let n be b(14). What is n rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-1 + (0 - -4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-402)\/(-16) - (70 - 45)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*b, -62*i - 5*b + 165036 = -59*i. List the prime factors of i.\nAnswer: 2, 3, 89, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2533*k + 36698. Determine v(14).\nAnswer: 1236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -115\/169 + 737\/338. What is the smallest value in 2\/21, 4\/219, s?\nAnswer: 4\/219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**3 - 1554*h**2 + 191811*h + 1635480 = 0?\nAnswer: -8, 231, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115034.\nAnswer: 2, 113, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 - 4*w**3 + 5*w**2 + 4*w.\nAnswer: -w*(w - 1)*(w + 1)*(5*w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v - 32*v + 167772 = -48*v. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/27)\/z)\/z*z**(-25)\/z)**22 assuming z is positive.\nAnswer: z**(-16676\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 7*o**2 - 18*o + 14. Give f(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/402617 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -182 - 23?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -36. Let t = q + 16. Let d = -26.0000032 + t. Round d to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -36667*l**3 - 7*l**2\/2 - 12*l + 30. Let a be g(-4). Round a to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (56\/(-6))\/(6\/(-27))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((5 - 2)\/3). Sort -0.5, g, 0 in increasing order.\nAnswer: -0.5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + o = -329, 0 = -2*n + 2*o + 124 + 36. Suppose 5*h + n = 2*g, -4*g - h = -3*g - 45. Is g a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1014697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23721, -47573, -71425, -95277, -119129, -142981?\n\"Answer: -23852*h + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 3 (b) -2 (c) 35.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89076, 178188, 267298, 356406, 445512, 534616?\nAnswer: 623718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -14. Suppose -5*o + 25 = -3*x, -d*o + 2*o - 8 = 2*x. Calculate the lowest common multiple of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + h + 2)*(-4 + 0 + 7)*(32*h**2 + 97*h**2 - 23*h**2) - 8*h**3 + 31*h**3 - 8*h**3.\nAnswer: 333*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13239?\nAnswer: 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 + 8*q**2.\nAnswer: 4*q**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*m - 47 + 9, -m + 6 = r. Let f(o) = 70*o**3 - 11*o**2 + 10*o + 1. Let b be f(1). What is the highest common divisor of b and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37376.635 + -37377. What is the biggest value in d, -3, 0.1, 0.04?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-108)*(-264562)\/12. Let c = f + -4901. Calculate the common denominator of c and -109\/105.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c - 1. Let a be p(1). Let b = 10 - a. Suppose 4*o - b*o + 3 = 0. Solve 3*l - 3*r = o, 1 + 3 = 4*l + r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -16. Let k = -1 - -7. Suppose m + 3 = k. Solve b + 11 = -z + 5*n, -2*n = -m*z - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*c**3 - 336304*c**2 - 1681220*c - 2101400 = 0. What is c?\nAnswer: -21014, -5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 20709830 + 4700166 = 2*x, x = -5*w - 26682785. Let v = w + 3036558. Round v to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*3\/(18\/8). Suppose 2*s + 5*x = r, -2*x = 4*s - 6*s + 4. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -27\/8104036?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x + 63 = 27*x. Sort 3, 5, x, 1 in decreasing order.\nAnswer: x, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 7. Let x(a) = -1 + 2 + 2*a**2 - 3*a**m + a. Let w(f) be the third derivative of -f**5\/10 + f**4\/4 + f**3\/3 - 11*f**2. Calculate -w(z) + 4*x(z).\nAnswer: 2*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 - t + t + (5 + 3*t**2 - 5)*(t**2 + 0*t**2 - 2*t**2) to v*t**3 + g*t**2 + x*t**4 + b*t + c and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**4\/4 - 16*g**3 - 147*g**2\/4 - 17*g + 5 = 0.\nAnswer: -10, -2, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.12 (b) 0.4 (c) 0.1 (d) 2\/7 (e) -2\/11 (f) -240\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxxwgp. What is prob of picking 1 x, 1 g, and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from {x: 1, r: 2, j: 1, y: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*p**4 - 5640*p**3 - 105650*p**2 + 188000*p - 80000.\nAnswer: -2*(p + 40)**2*(6*p - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*j + 12*j + 40 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.82802836 - -0.6.\nAnswer: 3.42802836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16104 - -0.3464171?\nAnswer: 0.5074571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**4 + 19884*v**3 + 26269596*v**2 + 3811109940*v = 0.\nAnswer: -2403, -165, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -1. Suppose x*y - 5*y + 14 = 0. Suppose y*k - 69 = 4*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18967*j**6 + 29298*j**5 - 394708907*j**2?\nAnswer: 2276040*j**3 + 1757880*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-72)\/1080)\/((-1)\/(-3)). Let v = 12 + -5. What is the nearest to t in 2\/7, 1\/9, v?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/19)*t**(-2\/11))\/(t**(-1\/3)\/t*t\/t**(-3)))\/(t**(3\/5)*t*t*t*(((t*t*(t**(-1\/11)\/t*t)\/t)\/t)\/t)\/t)**(-13) assuming t is positive.\nAnswer: t**(52903\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -26. Which is the closest to v? (a) 0.11 (b) 1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1.145, -4, -1551\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*r**5*z - 162*r**4*z - 2*r**2*z - 373*r*z - 5*z + 47 wrt r?\nAnswer: 1080*r**2*z - 3888*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1795109 is divided by 4204.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23131605 + 4?\nAnswer: 23131612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*v - 30, 3*v - 18 = -5*p + 24. Suppose 0 = -w + 3*w - 60. Calculate the lowest common multiple of w and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/6 and -43\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*o - 2*o**2 + 135*o + 134*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12111 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*y - 42 - 14, 4*n = -12. Let m(j) = j + 20. Let i be m(y). Let v(r) = 4*r - 4. What is the tens digit of v(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196625 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5590 and 28250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 2*h**2 - 4*h + 3. Suppose 4*c - 27 = -3*u, 6*c + 6 = 3*c + 3*u. Give s(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2720 divided by -5?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.6 + 3. Let n = -890.1 - -890. Sort f, 3, -3, n.\nAnswer: -3, n, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3686 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8c (base 15) to base 12\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55832.38 millilitres to litres.\nAnswer: 55.83238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 106, 240, 420, 640?\nAnswer: 894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6886 = 6*d + 6838 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Suppose -f*o - 18 = q, -5*o - q - 27 = -3*q. Let l = 7 - o. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1531295 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.772 times 40.06\nAnswer: 30.92632","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 8*c + 12. Let v(a) = -5*a**2 + 32*a - 51. Suppose 4*p = 5*j - 7 + 13, -p = -4*j - 7. Let x(y) = j*v(y) - 9*h(y). What is x(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.177 - 3.673. Let z = n + 0.25. Round z to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 4*l**2 - 2*l - 130. Let n be s(0). Let r = -125 - n. Solve -r*z = -0*y + 4*y - 20, z - 4 = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - 82. Let m = 152 + u. Is m a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 266 + 3?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/52*14\/(((-24)\/(-4))\/3)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137044297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2. Let a(g) be the third derivative of 0 - 29*g**2 + 0*g**3 + 0*g + 0*g**4 + 1\/15*g**5. Determine a(p(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnvnvnvvvnvvnn. Give prob of sequence nn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/30528 and -77\/22160.\nAnswer: 42281280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 13, y: 5}. What is prob of sequence zd?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**5\/10 + 2*v**2. Let u(a) = 142*a - 282*a + 143*a. What is u(b(g))?\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 794 + -789. Sort -4\/3, i, 3, 16 in descending order.\nAnswer: 16, i, 3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73200*f - f**3 + 5*f**3 - 73200*f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10428057 to the power of 1\/2, to the nearest integer?\nAnswer: 3229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 3 = 2726*x - 2725*x, 5*t = -3*x - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38686689 - -0.123.\nAnswer: 38686689.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrzzzzozzzz. Give prob of picking 1 r and 1 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-777)\/4410 + (-72)\/3024\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0*d + 5\/8*d**4 + 4*d**2 + 0 - 1\/3*d**3. What are the prime factors of w(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j + 16. Let x(r) = -12*r + 64. Let l(p) = 3*f(p) - x(p). Give l(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*a + 7*a + 9*a)*(-241 + 77 + 109 - 1061) to l*a + b and give l.\nAnswer: -11160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 307, 329, 379, 469, 611, 817, 1099, 1469?\n\"Answer: 2*n**3 + 2*n**2 + 2*n + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*v**2 - 2*v + v**2 + 0*v)*(0*v**2 - v**2 + 0*v**2) in the form w*v**4 + k*v**3 + h + s*v**2 + x*v and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7482, 31377, 71210, 126981, 198690, 286337?\nAnswer: 389922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*d + 3*d - 21*d - 1.\nAnswer: -59*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-54)\/7)\/((-225)\/774 - 4\/(-14)) and 30?\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/605)\/((6672\/139)\/480)\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/20*16\/(-10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(4\/9)\/p**(-1\/11) assuming p is positive.\nAnswer: p**(53\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31713307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 34. Which is the nearest to 1? (a) x (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 - 37 + 33862*l**2 - 33863*l**2 - 2*l**3 to the form y*l + o*l**2 + j + t*l**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2. Let k(a) be the first derivative of -58*a**3 + 2*a + 666. Give q(k(z)).\nAnswer: -60552*z**4 + 1392*z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-941.\nAnswer: 376.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 14*b**2 - 16*b + 15. Let c be x(15). Let z(a) be the third derivative of a**6\/120 + a**5\/30 + 121*a**3\/6 + 8*a**2 - 2. Does 11 divide z(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from wawwhhwa.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8653844?\nAnswer: 2, 2163461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -9. Suppose r - 2*f - 46 = 0, -4*r - 2*f + 224 = -0*f. Let s be 4\/(-18) + 39\/r. Which is the closest to s? (a) 2\/5 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 6, 0 in descending order.\nAnswer: 6, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167649021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -5*l**2\/2 - 4*l + 21. Let b(r) = 123 + 107 + 11*r - 221. Give -4*b(m) - 9*q(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Let w = 9 + -10. Let y be 3\/1 + 2*w. Solve -i*p - 16 = -y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*d**2 + 2 + 55*d**2 - 2 to the form r*d**2 + h + u*d and give r.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 27*z**2 - 17*z + 496. Determine n(27).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 42*o + 245 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*s**4 - 285*s**3 - 711*s**2 - 251*s - 24.\nAnswer: -(s + 3)*(s + 8)*(5*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (-2 + (45 - 7))) + (1 - (-3 - 4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -320 (b) 175\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -332.\nAnswer: -1\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y - 28436 = 88144. Is y a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/200 - (-105)\/375. Let b be 2\/(-10) - (-2 - -1). Factor b*p**2 - t*p**3 - 4\/5*p + 0.\nAnswer: -p*(p - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 50 - 64 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9*q - 8. Let j be o(-10). Suppose j = -6*x - 44. Let l = x - -24. Solve -12 = l*w + 3*s, s = 2*w - 3*s - 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from {w: 3, z: 5, f: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((0 - 1) + (-18 + 20 - 6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g = 4*z + 484, -1808*g + 1805*g = -z - 49 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -36569502.\nAnswer: -109708506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 532, 1123, 1780, 2503?\nAnswer: 3292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*r**2 + 4 + 54*r**2 + 17*r - 5*r**2 - 5.\nAnswer: 147*r**2 + 17*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 1 + 1*sqrt(171))**2.\nAnswer: 10*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {d: 9, e: 10, g: 1}?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -810, -1142, -1494, -1872, -2282, -2730, -3222?\nAnswer: -3764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15533*j**2 - 824177 wrt j?\nAnswer: -31066*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 1:59 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/21)\/(2\/6). Which is the nearest to 0? (a) -1 (b) -2\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*b - 542 = -192 + 445 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) + (-198)\/12. Let h be (-13 - p) + 2120\/14. Let f = -151 + h. Find the common denominator of -23\/7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2202*l**2 - 8664*l + 8664*l + 3985*l**2 to the form c*l + w*l**2 + t and give w.\nAnswer: 6187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5506232 is divided by 1835313?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*q - 9*q + 115200 = 0. Round q to the nearest one hundred.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 - 45*b**2 - 1 + 19*b**4 - 10*b**4 + 1 - 40*b**3.\nAnswer: 5*b**2*(b - 9)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 minus -230808627?\nAnswer: 230808626.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14898.91303 - 14899. What is q rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - 2\/1)*-6. Let u be ((-2)\/(-3))\/((-2)\/g). Suppose 15 = 3*x + c - u, 3*c = -9. What is the lowest common multiple of x and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 7847015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7926?\nAnswer: 2, 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -b8 (base 16) in base 15?\nAnswer: -c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 - -20.9. Which is the nearest to 0? (a) -0.5 (b) -1\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 (base 6) in base 10?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 5*c - 3*c**2 - 4*c - 2 + 23. Let d be m(5). Factor -2*b**3 + 0*b**4 + 3\/2*b - d + 1\/2*b**5 + b**2.\nAnswer: (b - 1)**3*(b + 1)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 12*c - 2*i, -133*c - 3*i = -134*c - 69 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9 - -12)\/(4\/(-4)). Let o be b*((-68)\/12 - -4). Sort -3, 1, o, -2 in decreasing order.\nAnswer: o, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*u + 132*u + 39*u.\nAnswer: 150*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 60 (b) 2\/13 (c) -4\/7 (d) 1 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -21333, 0 in descending order.\nAnswer: 0, -86, -21333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9*t**3 + 5*t**2 - 6*t + 4. Let i be c(1). Let x(u) be the second derivative of 0 - 1\/48*u**4 + 0*u**2 - 1\/12*u**3 + i*u. Let x(o) = 0. Calculate o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*g - 8 = 0, 91*g = -5*t + 94*g + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzlwwwlw. What is prob of sequence llzw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -8*s**3 + 2*s**2 - 3*s - 2. Let y(k) = -23*k**3 + 7*k**2 - 10*k - 7. Let i(c) = -7*f(c) + 2*y(c). Calculate i(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 2545*q + 309540.\nAnswer: 5*(q - 308)*(q - 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (26 - 24)\/((-2)\/(-6007)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i + 1. What is s(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6\/11)\/(i\/i**7*i))**32)**(2\/7) assuming i is positive.\nAnswer: i**(448\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 686362601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -11370?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-16)*3\/9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z + 10122 - 69571. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/(-6))\/25)\/(9\/15)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*n**3*p**2*s - 14*n**3*p**2 + 25*n**3*p*s + 51*n**3*p + n*s - 1 with respect to s.\nAnswer: 15*n**3*p**2 + 25*n**3*p + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, -1, -5, 10, -175, 2 in ascending order.\nAnswer: -175, -5, -1, 2, 10, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 0*a - 11*a - 45*a + 0 + 12. What are the prime factors of l(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 2*g - 80, 5*r + 119*g + 120*g = 369*g - 126*g + 204 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 10 = -5*v + 2*a, 11838*a - 11835*a - 21 = 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Express (0*o + 6*o - 4*o - 13 + (1 + o - 1)*(1 - 1 + 1))*(-o - o + 0*o) + 6*o**2 - o**2 - 3*o**2 as b*o + a + v*o**2 and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-8)\/(-16))\/((-2)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 8 + -6 + (0 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55330 + t - 146186 + 31588 - 4*t.\nAnswer: -3*t - 169928","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + -36. Let k(x) = -5*x**3 + 4*x**2 + 7*x + 28. Let b be k(-4). Suppose -60*j + 66*j = b. Calculate the greatest common factor of j and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155174 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j. Let f = 1455 + -1456. Let l(v) = 5*v. Give f*l(z) + 6*b(z).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = g - 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 18.2.\nAnswer: 10.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 263.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -9, w + 3 = 3*w - s. Let b be (-12)\/54 - 1*(-47)\/9. Suppose b*r = w*t - 231 + 67, -4*t + 5*r + 217 = 0. What are the prime factors of t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/6)\/(3\/(-54)). Suppose -7 = -z + c. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 883768 and 488?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18167, -18175, -18183, -18191?\nAnswer: -18199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - 28. What is the remainder when 3*(2 - -24)\/2 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 11*p + 10. Let o(g) = -g**2 + 4*g - 3. Calculate -4*f(n) - 11*o(n).\nAnswer: 3*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 + 8*c**2 + 2*c - 7. Determine l(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -227349 != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 6*d**2 + 3*d - 7. Let t be v(-5). Let j(b) = b**2 + 2*b - 1. What is the units digit of j(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12117 or -12116?\nAnswer: -12116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*d + 338 = 359, -2*d - 3 = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 331.3211 millennia?\nAnswer: 3975853.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3815.8 + -3816. Which is the closest to 1? (a) 32 (b) r (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4 + 19 = 5*b - 2, -4*r - 103*b - 14 = -133*b for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 18*o**2 - 30*o - 50.\nAnswer: -2*(o - 5)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8*y**3 - 3*y - 3. Suppose 2*q = -3*w + 14, -5*w + 3*q + 59 - 4 = 0. Let u be (0 - w\/(-4)) + -4. What is the tens digit of a(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*m + 120. Suppose 70 = -h - 2*h + 5*f, 3*h + 4*f = -25. Calculate the remainder when m is divided by (-32)\/(-3) + (-5)\/h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66*f**2 - 2*f**3 + 262 + 262 - 524 + (0*f**2 + 0*f**2 + 2*f**2)*(-f - 7*f + 3*f).\nAnswer: -12*f**3 - 66*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b - 15*b - 8*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/6))\/(q**14\/q) assuming q is positive.\nAnswer: q**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 9 = 3*m - 6, -5*m - 5 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3614\/(-91) - 2\/7. Let i = l - -88. Suppose 5*q = 407 + i. What are the prime factors of q?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4408 + 4492. What is the nearest to y in -0.4, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -4 (c) 2\/603\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9663403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -28.928. Let t = a - 0.071748. Round t to five dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -205*n**5 - 3*n**3 + 142*n**2?\nAnswer: -12300*n**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 5*z**2 + 10*z + 7. Let a be 0 + -2 - 35\/7. List the prime factors of m(a).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 684 = -464. Suppose 0 = -4*n + 5*p + 244, -4*p + k = 5*n - 236. What is the remainder when 261 is divided by n?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5666066 micrograms to milligrams.\nAnswer: 0.0005666066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1*sqrt(1300) + -5 + sqrt(1300) + 3 + 2)*-5)**2.\nAnswer: 1000*sqrt(13) + 130025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2\/9 + 26691502*f\/9 + 5931444 = 0.\nAnswer: -13345749, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.9 - -0.9. Let h = d - -13.44. Let l = h + 2.26. What is l rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcbodbyjojbobybco. What is prob of sequence jj?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49.9251 + -0.0501. Let i = -46 + n. Let a = i + -3.3. Round a to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0810196 - 0.081. What is c rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77875710988389 - -0.4?\nAnswer: 77875710988389.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b - 4 = 0. Suppose b - 1 = 3*f. Suppose -4*d + 4 = 2*j, d + 88 = 2*j + 89. What is the greatest common factor of f and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(936)*1*4 - (2*sqrt(936) - sqrt(936) - sqrt(936))*-3)\/((-2*sqrt(1024))\/sqrt(8)*-4).\nAnswer: 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + (sqrt(72) + -2)*-1)**2.\nAnswer: -36*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -0.9. Let i = v - 1. Let u = 107131.2 + -107131. What is the nearest to i in u, -1\/3, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48.34 times -0.075\nAnswer: -3.6255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 34. Suppose -x - 10 + g = 0. Put 1, 4, -8, x in ascending order.\nAnswer: -8, x, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(2\/7)*b*b)**33*b**(-2\/17)*b\/(b**10\/b) assuming b is positive.\nAnswer: b**(15864\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126 - 126 - 18*s)*(-3*s**2 - s**2 + 3*s**2) + (-5 + 4 + 2)*(-s**3 + 0*s**2 + 0*s**2).\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s**3 + 18*s - 18*s.\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 149*u**2 - 3 + 12 + 10 - 94*u**2.\nAnswer: -243*u**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2502467*d**2 + 183632*d.\nAnswer: -5004934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 j, and 1 b when three letters picked without replacement from wwjwbxwbphpwjbwpww?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 56a + 0?\nAnswer: 56a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -773975115 and -47.9099.\nAnswer: -773975162.9099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34488241 rounded to four dps?\nAnswer: -0.3449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 37498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 13 = 3*q - 7*q, -5*q - 2*f = -22. Let i be (q\/(-28))\/((-6)\/42). Let m(c) = 12*c**2. What is m(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*q - 7 = 263. Let a(x) = 2*x + 4. Give a(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d - 1\/12*d**3 + 0*d**2 + 1\/24*d**4 + 1\/40*d**5 - 1\/60*d**6 + 4. Let i(v) be the first derivative of m(v). Factor i(h).\nAnswer: -h*(h - 1)**2*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/8 + (-697)\/136 + -9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 16\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 14.16, -4, 5\/3 in ascending order.\nAnswer: -4, -3\/4, 5\/3, 14.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*h + 94*h = -86*h - 1404801. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a millimeter in micrometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5129.9 or -2\/9?\nAnswer: -5129.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213820.\nAnswer: 2, 5, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from {s: 2, q: 9, u: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a decade in years?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11222992 equal to 11222991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -1*8\/4*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7124 and 53430.\nAnswer: 3562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 162 + 114 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**5\/60 - 7*i**4\/24 - 11*i**3\/6 + 3*i**2 - 53*i. Give c(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 2257?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 4*s + 8, 13*i = 16*i - 3*s + 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238467708?\nAnswer: 2, 3, 19, 348637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - k - 67 = 2*j, -k = 3*j - 59. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o. Let v(b) = 608*b. Give v(s(f)).\nAnswer: 608*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(-u + u + 2*u) + (3 + 2 - 3)*(0*u + 2*u - 4*u) + (-5*u - u + 4*u)*(-382 - 1211 - 643).\nAnswer: 4464*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 22\/(-6) - -2)*((-18)\/9 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143106\/3 smaller than 714370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(3\/5))\/(-12*43\/(-1548)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 - (-9 + 5 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -17 - (1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 - 8*z**2 + 0*z**2 + (2*z - 4 + 4)*(-2*z + 7*z - 4*z) + (-3*z + 4*z - 2*z)*(0 + 0 + z)*(-26 - 26 + 17) - z**2 - 2*z**2 + 2*z**2.\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 36 - 9. Let g(s) = -2*s + 11. Let m be g(4). Solve -m*o + 0 = -d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydccyyytdd. What is prob of sequence yc?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t - 4 = -23*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-33 - (-3 - -3)). Suppose -3*c = -0*c + 5*x + 7, -2*c + 4*x = -h. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 92*b**2 + 64*b - 173. Is 42 a factor of t(-91)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.69597 years in centuries?\nAnswer: 0.4969597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*q - 3*i, -5*q + 4*i + 20 = 7. Let f be (-1)\/((1\/3)\/((-48)\/36)). Let t be (-2)\/f + (-63)\/14. Put t, -4, -16, q in ascending order.\nAnswer: -16, t, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362 = -13*a - 505 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 13*h**2 - 3*h + 5. Let b = -11 - -23. Let w = b - 0. Is m(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**6\/180 - g**4\/8 - 9*g**3\/2 - 41*g**2. Let b(o) be the second derivative of q(o). Let d(s) = 2*s**2. Calculate d(b(j)).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28180?\nAnswer: 2, 5, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 456\/96 - 1349\/228?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-2 + (-4 - -8). Let h be (-4 + n)*4\/(-2). Suppose 0*w = 3*w - h*z - 70, -2*w - 2*z = -42. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/5)*l**36)\/((l*l\/(l*l*l**33*l))\/l**(-2\/23)) assuming l is positive.\nAnswer: l**(8132\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1623, -6950, -15987, -28734, -45191, -65358, -89235?\nAnswer: -116822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68.7 + 69. Let j = 0.8 + -2.8. Which is the fourth smallest value? (a) -1\/9 (b) t (c) j (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 13*l**2 + l - 6. Let m be ((-104)\/(-12))\/((8\/6)\/2). Calculate c(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225924149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2*sqrt(99) - sqrt(99)) + -1)**2.\nAnswer: -6*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 34 = 4*h - 0*g, h + 3*g - 12 = 0. Suppose 0 = k - 5*k + h*k. Let m(x) = x**3 - x**2 - 13. Give m(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9.7040272 and -4?\nAnswer: 13.7040272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7\/3 (b) -3994 (c) -4\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3\/2 - 21*j**2\/2 + 45*j = 0.\nAnswer: 0, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -6. Let s be (4\/(-18))\/(x\/9). Let t = 6 + -8. Is t > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30091789.\nAnswer: 7, 13, 330679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1458*x - 899*x + 1 - 973*x.\nAnswer: -414*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458814174.\nAnswer: 2, 139, 5247533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 31640*w**2 - 1. Let y(d) = -2637*d. Calculate y(h(b)).\nAnswer: -83434680*b**2 + 2637","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*n - 52, 0 = -3*n - 5*t + 105 - 32. Let q be n\/6*(-52)\/(-104). Which is the fourth smallest value? (a) q (b) 3 (c) -9 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 35*k**2 + 1 - 6 + 35*k**2 + 88*k**3 to the form v*k + x*k**3 + u*k**2 + z and give x.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 11:18 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, -5\/4, -35, -0.03, 11, 10\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/13, -0.2, 2\/11, 2\/17 in increasing order.\nAnswer: -0.2, 2\/17, 2\/11, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c - 333. Let o be j(40). Let p be (-1 + -2)\/(o\/(-36)). Solve -p*m + 5*l = 19, 3*l - 15 = 4*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -10*b**2 + b + 1. Let i be ((-4)\/(-6))\/(4\/12). Let f be h(i). Let g = -9 - f. What is the greatest common divisor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -2*s + 1, 34 = z + 4*s + 23 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21\/((-231)\/(-242)) + -4 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1237 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0.20255. Round n to 4 decimal places.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g + 2*g**2 + 0*g - 3*g + 2 + 2*g in the form c*g**2 + d*g + r and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1497*z - 1406. Calculate h(-1).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 2)*(-2 - -4). Let l = -83 - -86.01. Let i = 0.01 - l. Which is smaller: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2183678*a + 1409862 wrt a?\nAnswer: 2183678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b - 576 = -102*b + 35*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 4 = 5*l. Let g(i) = -7*i**2 + 7*i - 7. Let y(m) = -8*m**2 + 6*m - 6. Let t(o) = l*y(o) + 6*g(o). Let n(b) = -2*b. Give t(n(p)).\nAnswer: 56*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 552909 by 184303.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 4. Let y be x(-4). Suppose y = 4*f - 1018 + 254. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 5)*(k - k - 2*k)*(-k**2 - 856 - 446923*k + 446923*k).\nAnswer: -4*k**3 - 3424*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, x: 2}. Give prob of sequence jj.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*s - 74*s = 2*j + 4, 4*j - 3*s = -15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -41, 3?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1400)\/1344 + (-190)\/304. Let k = -4.3 + 4.13. Put c, -0.2, k, -0.1 in increasing order.\nAnswer: c, -0.2, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418*q + 839*q - 421*q - 5*q**3 + 2.\nAnswer: -5*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6) + 16\/6. Let s = 200.1 - 200. Which is the nearest to s? (a) 0 (b) -0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -36 + j**2 + 12*j - 12*j - 2*j**2. Let f(a) = -8*a + 19. Let m(v) = -4*v + 10. Let g(n) = 3*f(n) - 5*m(n). Give g(r(y)).\nAnswer: 8*y + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**2 + y**2 + y**2 + (-2 + y + 2)*(2*y - y + 0*y) - 4*y**2 - 3*y**2 + 2*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (1 + 2)) + 2. Suppose -7*a = -j*a + 5*l - 35, -2*a - 3*l = -19. Suppose -2*r + 273 = 5*p, a*p = r - 2*r + 110. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5655 and 552885?\nAnswer: 7187505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65608*p**3 - 32806*p**3 - 32803*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 60646 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*z - 644*z = -3*g + 4, 2*z + 22 = 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1.6 (c) -3 (d) -229.47 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.5 + -15. Let q = 15 + -11. Sort 1\/6, l, q in decreasing order.\nAnswer: q, 1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**2 + 6*y - 10. Let f(n) = 7*n**2 - 7*n + 11. Calculate -4*f(j) - 5*m(j).\nAnswer: 2*j**2 - 2*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4))**47\/((c\/(c\/(c\/c**(-8\/7)))*c)\/((c\/(c\/(c*c*c**(6\/13)*c*c)))\/c)) assuming c is positive.\nAnswer: c**(-17079\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3593 + -25150\/7. Sort -0.457, -0.2, g.\nAnswer: -0.457, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**4\/12 + 5*i. Let c(a) = 2*a**2. What is v(c(o))?\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -3 (c) -3.3 (d) 11 (e) -130\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + h**2 + 6*h + 14. Let l(m) = 7*m**2 + 121*m - 92. Let k be l(-18). Determine u(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-2) - (-2 - 0). Let r be (-43)\/(-3) + (-3)\/9. Suppose -t*u + u = -r. Solve 5*v - 2*d = 9, -5 - u = -5*v + d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7\/1639 + -296715\/13112. Let x = a - -753\/40. What is the closest to 0 in 0, 0.2, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3913*i + 1029751 - 80385 = 3933*i for i.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 27.589?\nAnswer: -5.5178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/58510 and 59\/41542100.\nAnswer: 41542100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (511\/49)\/(-1 - (-27)\/7). Let r = -13\/4 + n. Factor -7\/5*m**2 + 4\/5*m + r*m**3 + 4\/5.\nAnswer: (m - 2)**2*(2*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1192*k + 1182*k + 110 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 431 times -0.3\nAnswer: -129.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 27 = -8*s, 0 = -3*s + 5*x - 9*x + 8. Which is the nearest to -0.2? (a) -5\/2 (b) 32 (c) -6 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3905 in -9, 1, 5, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/180*2 - 2\/(-9)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (4 - -1) + 12 + -22.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 351950 divided by -2?\nAnswer: -175975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(21*(-28)\/(-7)*10\/(-120))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2893320 is divided by 964436.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -70*i - 2*i**3 - 4*i**2 + 7*i**2 + 67*i. Let n(f) = -22*f**3 + 34*f**2 - 34*f. Determine -6*n(x) + 68*s(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20294\/17? (a) -1 (b) 1 (c) -5 (d) 2\/17 (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.6 + 10.3. Let q = 11.1 - 10.1. Let s = -296 + 3254\/11. Which is the nearest to s? (a) q (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*h + 52 = 0, -84*l + 4*h = -85*l + 40. Solve -10*u = -3*d - 9*u - 8, l = -3*u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 9) in base 11?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -66945 less than -8?\nAnswer: 66937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytuhqtyyy. What is prob of picking 1 t, 1 u, and 1 y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3902 = -162. Suppose 0 = 5*h + 5*u - 3315, 63 = -3*h + 2*u + i. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 36047*u. Let x(h) = 355*h**2. Give m(x(f)).\nAnswer: 12796685*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/2 + -5 + 40. Suppose -3*g + 6*g + 564 = 0. Let m = 278 + g. Calculate the highest common factor of m and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -57*p**2 - 161 + 82\/3*p**3 + 0*p. Find the second derivative of f(l) wrt l.\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in -2\/9, 2\/757, 21?\nAnswer: 2\/757","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-11 - (5 - 25)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -297, -737, -1321, -2049, -2921, -3937, -5097?\n\"Answer: -72*u**2 - 224*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 2*o**3\/3 + 2. What is w(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4*14\/(-3) - (-15)\/45?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54340 divided by 44\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 21*h**2 + 5253*h - 29 + 5255*h - 4 - h**3 - 10481*h. Let v = 39 - 17. List the prime factors of p(v).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 15\/11 (c) -1\/124 (d) -6.1 (e) -1 (f) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -1. Let w be (-1)\/p + (-24)\/32. Let y = -14.55 - -14.5. Which is the smallest value? (a) y (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -30490?\nAnswer: -9147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7*n + 12 = 0. Let l(k) = -k**2 - k + 1. Let o = 110 - 109. Let j(i) = -i + 3. Calculate n*l(g) + o*j(g).\nAnswer: 3*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30645583 - -17804417. Suppose -6*i + 3*i + t = 0. Round i to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 4*o - 2. Let n be y(-5). Suppose 0*g - 10 = 2*g. Let c = g - n. Solve 0*h - 5*h + 2*i - 10 = 0, 0 = c*i + 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 310 + -282. Suppose 63 + 133 = k*g. What is the remainder when 60 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 7*y**2 + y + 2. Let m(b) = 2*b**2 + 6*b - 8. Let t be m(-6). Calculate the remainder when (-8)\/t + (-121)\/(-7) is divided by z(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 630.4851 litres to millilitres.\nAnswer: 630485.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -94? (a) 0.53 (b) 246 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1255 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/27)*h*h*h**(17\/6))**(-11\/3) assuming h is positive.\nAnswer: h**(-3487\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**4\/3 - 7*g**3\/6 - 5*g**2\/2 + 2*g - 13. Let b = 7 - 1. Is o(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a80 (base 13) in base 4?\nAnswer: -10232222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 9 = -0*q. Suppose -2*m = -2*v - 8, 0 = 2*m - q*m - v - 4. Let y = -0.6 + 1. Which is the nearest to 0? (a) y (b) 0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, f: 1, b: 1, q: 6, c: 2, u: 4}. What is prob of picking 1 f, 1 q, and 1 c?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 - 5*c**3 - 55*c**2 + 55*c**2.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32063 - 64283 + 32102 - 10*j**3)*(0 + 4 - 2).\nAnswer: -20*j**3 - 236","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -24, 84\/37, -13, 3.8?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, e: 1, k: 7, z: 4, b: 4}. What is prob of sequence uu?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2385*w**4 - 10*w**3 + 177369*w wrt w?\nAnswer: -28620*w**2 - 60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 2*i + 10. Suppose -4*r + 284 = -4*o, -5*o + 2*r - 142 - 222 = 0. Let t = o - i. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1328, 2662, 3996, 5330, 6664?\nAnswer: 7998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 9*p**2 + 56*p - 621. Give v(10).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 3)*(-5*m + 2*m - 7*m) + 3 - m - 3)*(-m**4 + m**4 + 2*m**4).\nAnswer: -22*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 5 - -8 - 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 4:41 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*p = 63*p - 80. Calculate the least common multiple of p and 28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 6. Let z = 8 + 9. Let y = v - z. Calculate the remainder when y is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 134*f**3 + f**2 - f + 1. Let o be z(1). Let s = -72 + o. Suppose 2*w - y = s, 2*w - 7*w - y = -168. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f - 4*k + 116 = 0, -4*f - 2*k = -110. Suppose 568 + 469 - 178 = 100*h - 641. Solve 4*a + h = b - 4, 5*a + f = -b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3)\/(o*o**(2\/7)))\/(o*o*o\/(o*o**(-2)\/o)*o**2*o))\/((o**(-2\/7)\/o)**(-2\/9)*o**(-1)\/(o*(o\/(o*o**(2\/5)))\/o)) assuming o is positive.\nAnswer: o**(-419\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((11\/(-66))\/((-1)\/(-2))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152 + -1978\/13. Let w = -5 - -7. Let a = -3.9 + 4. What is the nearest to a in w, 1\/8, g?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**3 - 2*c**2 + 1. Let u be k(1). Suppose -7*a + 1120 = -u*a. Let s = 433 - a. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869\/6853*(-1 - 9)?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -131, -124, -115, -104?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14413\/12 - -1201. Let j = 6 - 5.4. Let s = 0.2 - j. Which is the biggest value? (a) t (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, -2, 3, -5 in descending order.\nAnswer: 108, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-368)\/32 + 11 - (-2 + (-6)\/4). Solve -4\/5*t**g - 24\/5*t**2 - 16\/5 - 36\/5*t = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 - 2*z + 9 + 11 to the form g + h*z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -143073*p**3 + 2*p**2 + 3814733*p.\nAnswer: -858438*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41*z + 121*z - 208*z)*(6 - 2 - 1) to f*z + u and give f.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 14*i**2 - 10*i + 24. Let w be p(-12). Let o be (1*w)\/((-13)\/325). Round o to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -610*p**2 - 2*p - 1 - p + 1 - 445*p**2 in the form h + z*p**2 + q*p and give z.\nAnswer: -1055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + r**2 - r + 1. Let n(o) = 3*o**3 + 2*o**2 - 5*o + 2. Let u(s) = 4*g(s) - n(s). Suppose 2 = -2*v - v + 4*k, -v + 2*k = 0. Determine u(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14158636 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: What are the prime factors of 254054?\nAnswer: 2, 59, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4)*(-1788)\/(-18). Suppose -430 = 8*n + 146. Let u = n - h. What is the remainder when u is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2439*x**3 + 54333 + 3*x - 54333.\nAnswer: -2439*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-5))\/(128\/5120)*(-1)\/(-2). What is the second smallest value in 0.3, -211, -0.4, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 14) + (9 - 6) - 19?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -27, -162455?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, -5, 1.\nAnswer: -5, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -7*10*(-12)\/(-35). Which is the smallest value? (a) 0.4 (b) -1\/8 (c) -0.4 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 2*b**2 - b + 2. Let s be o(2). Let k(z) be the first derivative of -z**2\/2 + 3*z + 51. Calculate the remainder when k(s) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + 2*l**3 - 2*l**3)*(2*l**2 - 2*l**2 - 2*l**2) + l**5 + 2*l**5 - 5*l**5 + l**3 + 13*l**5 + 9*l - 9*l.\nAnswer: 9*l**5 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 221.6 - 222. Let y = 34 + -34. Suppose -5*j = -30 + 10. Which is the smallest value? (a) p (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t - 1. Let q be v(2). Let m be (-52)\/q - 2\/(-9). Let n be (-4)\/m*21\/(-2). What is n rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 4*o**2 - 2*o + 3. Let t be g(-3). Find the second derivative of -a - 12*a**3 + 13*a + t*a**3 wrt a.\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*k = 1, -5*k = -8 - 7. Suppose 4*z - 4 = -2*w, z = -p*w + 2*w + 1. Let x = w + 6. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 215*v**2 - 7*v - 6. What is the hundreds digit of a(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139326?\nAnswer: 2, 3, 11, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhohhuouuhuh. Give prob of picking 4 h.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rllshlhqmrlhlllml. Give prob of sequence mh.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 0*h**2 - 3*h**2 + 6*h**2 - 1. Let j be u(-1). Solve 3*a = -15, -r + 13 = -4*r - j*a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 18 + 16 - 34 to u*b + m and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 1. Let o(m) = 12*m**2 - 12*m - 12. Suppose -2*k + 16 = -5*r + 3*r, 3*k + 24 = -r. Let f(w) = r*n(w) + o(w). Let q(b) = 4*b. Calculate q(f(j)).\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - -32. List the prime factors of q.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - 2\/(7\/(945\/(-10))). Solve -5*a - 3 = g + 21, 3*a + 5*g = -w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, o: 8, i: 7}. What is prob of picking 1 o, 2 l, and 1 i?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*t - 45 = 0. Let l = 18 - t. Suppose 2*x + l*v = 7*v - 53984, -135016 = 5*x + 4*v. Round x to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 12*f**5 + 4*f**2 - 19*f + 4. Let y(l) = -23*l**5 - 9*l**2 + 39*l - 9. Let u(v) = -9*c(v) - 4*y(v). Find the second derivative of u(x) wrt x.\nAnswer: -320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 6*b**2 + 2*b + 8. Let s be z(5). Let j = -81 - -88. Let k = j + s. Is -1 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27137, -108152, -243163, -432170, -675173, -972172, -1323167?\nAnswer: -1728158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 6*w + 2. Let a be j(-5). Suppose 1 = -2*q - 1. Let f be (a\/(-6) + q)*-2. Is f != -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o = -64. Let g = o - -40. Let i = 22 - 14. Calculate the greatest common divisor of i and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/4*8\/6. Let c(z) = -6*z**3 + 1. Let b be c(n). Suppose t - b = -5*i - 0*t, 3*i - 5*t = 7. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -59, -76, -93, -110, -127?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178955, 178949, 178939, 178925, 178907, 178885?\nAnswer: 178859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2481 + 3496*q + 2481)*(-3 + 2 + 2) to the form z*q + o and give z.\nAnswer: 3496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*y - 21*y + 2 + y - 3 to i + v*y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a microgram in nanograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40848628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12, 44, 124, 276, 524?\n\"Answer: 4*z**3 + 4*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13438836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 3)*(-3 + 2 + 0) - 15 - 12 - 9 + 0 + 0 + 1 + (-2 - 3 + 3)*(-3 + 0 + 5))*(2 + 3*s - 2).\nAnswer: -111*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - 0 - (-6)\/(-33). Let q = -872.1 - -872. Suppose 2*l = 3 - 9. What is the smallest value in -8, r, q, l?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1274, 1270, 1266, 1262, 1258?\n\"Answer: -4*x + 1278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 47*v + 1. Determine g(1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2. Let u(z) = 56752308*z. Determine m(u(p)).\nAnswer: -6441648926653728*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000155415 to six dps.\nAnswer: 0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**5 + 15*q**4 - 20*q**2.\nAnswer: -5*q**2*(q - 2)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.053 - -2.553. Let v = 2 - 0. Let z = k - v. Which is the nearest to 0? (a) z (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 748319 and 429.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 13*g**2 + 6*g - 3. Let l(c) = 6*c**2 + 3*c - 2. Let b(h) = 9*l(h) - 4*x(h). Let q be b(5). Let i = q - 34. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 3:57 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68650 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-2)*1\/(-7). Let z = 3.8 - 7.4. Let v = -6.6 - z. What is the second smallest value in b, v, 1, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*n + 229 = 0, -13 = -c - 2*n + 30. Calculate the smallest common multiple of c and 63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 12*w - 4. Let g be x(11). Let b = g - 4. Suppose 3*u - 273 = -2*f - 1, b*f + 3*u - 402 = 0. What is f rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 21*h - 17. Is l(24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 80249 + 67817 = 0. Suppose -4*y + 12033 = q. What is y rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c - 6 = 3*z, -4*c - 5*z - 10 = 0. Suppose -5*g - 2*r - 8 = c, 0 = 6*g - 3*g - 4*r - 16. Factor g*a**3 + 0*a + 3\/5*a**2 - 3\/5*a**4 + 0.\nAnswer: -3*a**2*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2618336?\nAnswer: 2, 7, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198\/297*(-78)\/299?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2953831, -5907701, -8861571, -11815441, -14769311, -17723181?\n\"Answer: -2953870*i + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60903 is divided by 150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = -134 - 58. Suppose -241*p**3 - 236*p**3 - t*p**2 + 481*p**3 + 16 = 0. What is p?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**2. Let m(u) = -250*u**2. Determine m(y(d)).\nAnswer: -4000*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 12:33 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84641593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, -115, -9, -2273, 0.4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 680152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-4))\/(30\/(-48)). Let i = 4.98 + -5. Sort i, k, 3 in ascending order.\nAnswer: i, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9053 and 4.\nAnswer: -7.6212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (2080\/(-624))\/((-6)\/(972\/15)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(9) + sqrt(225))*5)\/((sqrt(3) + -2*sqrt(3))*2 - (sqrt(3) + 4*sqrt(3)*2)).\nAnswer: -150*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.61 - 0.39. Let i = u + 5. Let x = 13 + -9. Put x, i, 1 in decreasing order.\nAnswer: x, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19)\/38 - 1\/(-2). Sort h, -3, 0.5, 1 in increasing order.\nAnswer: -3, h, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2644, 5769, 8894, 12019?\nAnswer: 15144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/7 - 120*v**2\/7 - 6392*v\/7.\nAnswer: 2*v*(v - 94)*(v + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 838.271 and -5.\nAnswer: -4191.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-389 - 230 + 164 - 426 + 187)*(3*o**3 - o**3 - o**3) to m + z*o + l*o**2 + j*o**3 and give j.\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -96\/11, -4, 13516.2 in descending order.\nAnswer: 13516.2, -4, -96\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/6*(-2)\/(-8). Let f = -6 + 16. Let q be 3\/(-2) - f\/(-4). Is q at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -808*-228\nAnswer: 184224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -24 (c) -5 (d) -3825\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*s + 16*s + 39. Suppose s*q - 27 = n, -8*n = 4*q - 3*n - 36. What is the lowest common multiple of 11 and q?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -384*d + 13. Let h(t) = 385*t - 10. Determine 3*h(a) + 2*m(a).\nAnswer: 387*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - 2*m**2 + 5*m + 44. Calculate the remainder when f(7) is divided by 87.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5028, -5030, -5032, -5034, -5036, -5038?\nAnswer: -5040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - s**5 - 3*s**5 + (3*s + 2*s - 4*s)*(4*s**4 + 4*s**4 + 2*s**4).\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3052460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*l + 7099 - 7693 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2*-3*sqrt(14))\/sqrt(7))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9}. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 102, 5 in decreasing order.\nAnswer: 102, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/6691 and -1\/7?\nAnswer: 46837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/135 - 296\/30. List the prime factors of 25\/h*(-40)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 122, 121?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(65)*1 + sqrt(65))\/(-1*(sqrt(80) + sqrt(5))).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 66*a - 389. Give w(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + sqrt(48) + -2)**2 + 1 + -5.\nAnswer: -32*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2440693061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*w - 945 = 177*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1346517005.036 + 3.\nAnswer: -1346517002.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4955785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -12. Suppose l*s = 6*s + 131. What is the remainder when s is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/31 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -306.9777 - 0.0223. What is the third smallest value in d, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-8) + 9 + 183\/(-122)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24269 and 0.1.\nAnswer: -2426.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 14*u**2 + 3*u + 45. Let a be -2 - (24\/6 + 8). Let z be q(a). Solve -9 = -z*f - 24, 5*f = 4*k - 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1896 = 5*h - 2*h. Suppose 2*n - 10*n + h = 0. Let v = n + 1. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39, 180, 417, 750, 1179, 1704?\n\"Answer: 48*x**2 - 3*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 - (-418)\/57)*(1 + -1). Which is the second biggest value? (a) -10 (b) i (c) 0.5 (d) 5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 257742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1712?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 446.\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 = -105*k - 497 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 33. What are the prime factors of (-2 - y)\/((-9)\/801)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*l + 1938*l + 342*l + 1392*l + 672*l.\nAnswer: 4155*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482519675.\nAnswer: 5, 11, 1754617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -1\/120*u**5 - 11\/480*u**6 + 0 + 0*u + 0*u**4 + 12*u**2 - 3\/280*u**7 + 0*u**3. Solve s(w) = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1092 and 225888?\nAnswer: 1581216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200685687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1650 + 1704. Suppose -u - 68 = -5*c, u = 3*c - 0*u - 40. Calculate the remainder when r is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8 + 13 = 5*o, -o = -2*d + 1. Find the third derivative of -5*v**2 + 3*v**d + 2*v**5 + 3*v**5 - 5*v**2 wrt v.\nAnswer: 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -690 - -694. Let f(j) = 167*j + m*j**2 - 90*j - 103*j. Let a(h) = h. Give f(a(x)).\nAnswer: 4*x**2 - 26*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 382436846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 2 + -7)\/(-2). Suppose -h + l*h - 4 = 0. Suppose 2*c + 2*m - 172 = 0, 7 = -h*m + 1. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0*b**4 - 1\/2*b**3 + 0*b**5 + 3*b**2 - 1\/120*b**6 + 0 + 0*b. Find the first derivative of w(y) wrt y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 2*w**2 + 2*w. Let s be u(-1). Let a(i) = -1. Suppose -12 = -3*q + 3. Let g(t) = t + 5. Determine q*a(y) + s*g(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5715 greater than or equal to 5716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22101 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m**3 - 88*m + 158*m + 2*m**3 - 6*m**3 - 68*m.\nAnswer: 14*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + -5 - (-2 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5\/4, -97 in ascending order.\nAnswer: -97, 0.2, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttx when three letters picked without replacement from etjtxejtt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (0 + -3) - (-53 + 36 + 16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 28752?\nAnswer: -28751.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-11))\/(10\/3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100862504 by 6.\nAnswer: -50431252\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*s + 3*s + 4617*s**2 + 2*s + 13*s - 55 - s wrt s.\nAnswer: 9234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*z**2\/3 + 28*z\/3 + 2.\nAnswer: 2*(2*z + 3)*(4*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11746 - 11675 + 84*q**3 + 23421.\nAnswer: 84*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h - 78. Let g = 121 + -141. Let u be w(g). Solve -u = 4*d - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1300) + -4 + sqrt(1300) + sqrt(1300) + -1)**2 + sqrt(1300))*6.\nAnswer: -1740*sqrt(13) + 70348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utu. Give prob of sequence uu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 j when three letters picked without replacement from jcjcjcjcjjjjjjjcjj.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317172973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 - 12322?\nAnswer: -13021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aalllaaalalll. Give prob of sequence lal.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -1.1, -316, -650, -0.1.\nAnswer: -650, -316, -1.1, -0.1, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-9)\/15) + 10\/((-238760)\/119372). What is the smallest value in -0.1, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.121 - 0.091?\nAnswer: -0.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 16*g - 46. Let k be n(-6). What is the third derivative of -3*h**6 - 15*h**2 - k*h**6 - 8*h**2 + 3*h**2 wrt h?\nAnswer: -10680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 = 3*f. Suppose 0 = -5*r + 10, 5*x + r - 50 = f*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 3*g**4 + g**3\/6 - 65*g + 96. Let k(s) be the first derivative of v(s). Let c(r) = -4*r. Determine k(c(n)).\nAnswer: 576*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * -11053112.\nAnswer: 165796680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = l + d, 3*d + 369 = -49*l + 54*l. Calculate the remainder when 309 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**4\/8 - 3*y**2\/4 + y + 7. Solve s(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - 6. Let d = m - -13.1. Which is the closest to d? (a) 0.2 (b) -0.2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147*34150\nAnswer: -5020050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 44. Let z(f) = -f**3 - 14*f**2 + 10*f - 67. Let v be z(m). Solve 4*d + v = -s + 26, -3*d + 13 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840.24 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-6))\/(20\/(-50400)). Suppose 0 = -3*p - p - q. What are the prime factors of (6\/9)\/((-5)\/p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 31*o - 65. Calculate j(-27).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**2 - 5*q**2 - 2 - 3 + 3*q + 7 to the form h*q**2 + x*q + s and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00464702 to four dps.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + -3 + 21 + -32?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12930231 and 1098.\nAnswer: 77581386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37056, -75744, -116062, -158010, -201588?\nAnswer: -246796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 3*t + 3. Let i(s) = s**3 - s - 2. Let a be i(2). Suppose -214*w - 4 = -215*w. Suppose -13 = -q - 5*r, -2*r - a = -4*q + w. Calculate c(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) -1 (b) -2\/5 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmbqqhqhqqhbmhhhhq. Give prob of sequence mm.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a + 1. Let f(i) = 2*i - 6. Let g(o) = -f(o) - 12*q(o). Let l(s) = s**2 + 1. Let c(d) = -g(d) - 2*l(d). Factor c(p).\nAnswer: -2*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.099 - 43.901. Let r = w + 44.64. Let a = r + -0.683. Round a to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59419156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8105 + 4839 = 16*y. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 7. Let x(q) = -q**3 - 6*q**2 - 7*q - 12. Suppose -4*o + 38 = 54. Let h be x(o). Let t = h - -23. Determine m(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 12, -2, 1, -0.7, 48?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 292 + 4*r - 599 + 297 + (5 - 1 - 2)*(-4*r + 0*r + 3*r) + r + 4*r + 4*r + 0 + 0 - 2*r to y*r + d and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 123 = 3*v - 140, -4*v + 3*t = -8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.878927517 rounded to 3 decimal places?\nAnswer: -0.879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -78e42d?\nAnswer: -78e42d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/3)\/((-62)\/279). Suppose -2*i - 8 = -2*o, -u*o - 2*i + 14 = 2. Sort -27, -2, o.\nAnswer: -27, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -5 + -4 - -5) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54 + -15 - 146) + (3 + -5 - -20)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-35) + 272\/336\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1287\/15730)\/(1\/((-5)\/2)*93\/62)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 - 736*j\/3 - 67712\/3.\nAnswer: -2*(j + 184)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*m + 182. Calculate the remainder when 1870 is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2346352 and 4?\nAnswer: 9385408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 1:19 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3459059 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2))\/((-3)\/(-18)). Is (c - 2\/1)\/((-1)\/(-149)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 5, 2, -966, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0 (c) -1\/3 (d) -3\/7 (e) -38 (f) 153 (g) 2\/45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 b, and 2 k when four letters picked without replacement from {k: 5, l: 1, d: 2, b: 1, p: 5, u: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3 + 19 = 3*z, -3*z - 3*b + 24 = 0. Suppose z*i = 26*i - 133. Solve 3*h - i*h + 20 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/14))**(-15)\/((i\/(i*i*i**(4\/5)*i))\/i**(3\/11)) assuming i is positive.\nAnswer: i**(-10009\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/2*(-6)\/(-4))\/((-81)\/(-108)). Let q(s) = 2*s**3 + 4 - s**3 + 5*s**2 + s + 0*s**3. What is q(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -11*r + 3*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 2, p: 1, s: 2, w: 1, r: 1}. Give prob of sequence rs.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001101010010110 - 11110?\nAnswer: 1010001101001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350664 and 7752.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/2 of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7)\/(-14)*(-1 - -75)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53\/77290 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*y + 28*y + 19*y - 23*y**2.\nAnswer: -23*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062665033?\nAnswer: 1062665033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 21*n**2 - 13*n - 17. Let j(u) = -u**3 + 11*u**2 + 12*u - 9. Let v be j(12). Is x(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 1:25 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from ooeo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 23 = -4*m - 5*w, m - 3*w - 6 = 0. Calculate the remainder when m is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4*o**2 - 5682042*o**3 + 5682042*o**3 - 973*o**4)*(-1 + 1 - 2*o)*(0 + 1 + 1).\nAnswer: 3892*o**5 - 16*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1842*r**6 + 7*r**2 + 20*r.\nAnswer: -221040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 51\/4, 3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v = 940. Let h = 330 - v. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-17)\/(-4))\/(-21*6\/(-25704)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 2 - (23 + -33 + (3 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5471\/3102 - 50\/141. Let v = a - 21\/11. What is the nearest to 60 in v, -4\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**8)\/w)\/w**(-3))\/(w*w**(-1\/6)*w)**39 assuming w is positive.\nAnswer: w**(-121\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*z + 4*z - 8*z)*((4 - 3 + 1)*(-6 + 29 - 8) + 3 - 3 - 1) to r + f*z and give f.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/3 - 1872*n**3 + 7838908*n**2\/3 + 43862016*n - 6629359616\/3 = 0. Calculate n.\nAnswer: -38, 22, 2816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-228)\/(-42) + -5 - 70569\/21. Calculate the remainder when (2\/(-2))\/(32\/r) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/5, -162, 4, -0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 13*p**3 - 6*p**2 + 8*p - 5. Let b(m) = m**3 - m**2 + m - 1. Let o(y) = -6*b(y) + z(y). Let x(r) = r. Let w be x(-1). Give o(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 18*o**2 - 46*o + 15. Let g be i(15). Suppose s = 3*y - 4, -2*s - 5*y + 5 + 9 = g. Solve 0*t - 3 = s*t - 3*z, 0 = -z + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/(5*(-4)\/(-240))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/416922 and 17\/4479?\nAnswer: 622464546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 201 + -192. Solve -3*c = -8*c + 4*r + 13, 3*r - w = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5\/8 - 67*t**4\/8 - 1287*t**3\/8 - 6101*t**2\/8 + 2042*t - 1110 = 0. Calculate t.\nAnswer: -37, -20, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15, 24, 37, 54, 75, 100?\n\"Answer: 2*s**2 + 3*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + c + 21, 2*f + 0 = 3*c - 2. Let i(a) = -12*a - 892. Let x be i(-74). Sort -42, f, x, -2.\nAnswer: -42, x, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3987*-6*1\/9)\/(12\/(-8)). Does 1771 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163532520 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*h**3 + 68*h**3 + 7*h**2 - 90*h**3 + 11 - 2*h - 87*h**3 in the form l*h**3 + n*h + r + p*h**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.2 + -111.2. Let h = -230 - -134. Let k = h - j. Which is the fourth smallest value? (a) -0.5 (b) k (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -579*a = -552*a - 1752057. List the prime factors of a.\nAnswer: 64891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10033799 is divided by 1643?\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56609531*g**4 + 6666233*g.\nAnswer: 679314372*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 6. Let m be v*-5*4\/(-1). Let p(f) = -23*f**3 + 2*f**2 - 1. Let b be p(-1). What is the greatest common divisor of b and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**2 - 4139520*g + 33116416 = 0. What is g?\nAnswer: -1034888, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -147.296202 to the nearest integer.\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -8*k. Let j = 156.87 - 157. What is the biggest value in k, 2\/9, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 2 = -6*i - 2*t, -4*t + 10 = 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-10) + (-241)\/442. Let p = r - -2280\/1547. Factor -2\/7*f**5 + 2\/7 + 10\/7*f**4 + 20\/7*f**2 - 20\/7*f**3 - p*f.\nAnswer: -2*(f - 1)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*u - 181*u - 341*u + 34*u - 21886 = 0 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 7*p + 2. Suppose 0 = -k - 15. Let b = -11 - k. Suppose 5*i - 26 = -3*o + 12, 0 = b*o - 4*i - 8. What is u(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2\/7 - 74478*y\/7 + 74481\/7 = 0 for y.\nAnswer: -24827, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 78\/21 - 8\/28. Are l and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.89242 nanometers to centimeters.\nAnswer: 0.000009489242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 274.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -98568, -98268, -97794, -97152, -96348, -95388, -94278, -93024?\n\"Answer: -u**3 + 93*u**2 + 28*u - 98688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1328621487?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 4 + 4)*(0 - 11 + 4)*(0*o + 0*o - o**2).\nAnswer: -14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -757*r - 836*r - 47545 = -86*r - 3842 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1383 is divided by 680.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = h - 3*k - k, -2*h + k = -13. Suppose -2*g + h = -g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3\/(n**(2\/11)*n)*((n*n\/n**0)\/n)**43)**(-22))**50 assuming n is positive.\nAnswer: n**(-49300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-203))\/(21\/(-14))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -27. Let y = -8 - v. Let o = -3 - -8. What is the smallest value in y, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 3 = 5*c. Suppose l + c*l - 2004 = 0. Suppose 41 = -5*k + l. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 + 6.6. Which is the biggest value? (a) -4 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -262 - -274. Suppose -n - 3*n + z = 0. Solve 7*c - 2*c + h + 3 = 0, 2*c - 4 = -n*h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 5:02 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3. Suppose r = -2*k + 11. Let q(b) = 2*b**3 + 98*b**2 + 190*b + 96. Let h be q(-47). What is the nearest to 2\/11 in 0.4, h, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_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: What is the value of ((809\/(-1618))\/(2\/3))\/((-4)\/528)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**7\/490 + 9*r**6\/280 + r**5\/140 - 9*r**4\/56 - r**2 - 30*r. Factor i(l).\nAnswer: -3*l*(l - 9)*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 2:04 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3544, -7443, -11328, -15193, -19032, -22839, -26608, -30333?\n\"Answer: d**3 + d**2 - 3909*d + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h*s*u**2 - 196*h*s*u + 138897*h*u**2 - 188*h*u + h - 2*s*u**2 - 6*s*u + 5*u**2 + 2*u wrt u.\nAnswer: -4*h*s + 277794*h - 4*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - (3 + (60 - 65))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4016821 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0, -3\/4, -31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 2*n**2 - 6. Let c be m(3). Suppose -2*v - 11 + 79 = c*b, 5*b = -3*v + 113. What is the remainder when 65 is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/(4\/(-36)). Sort 4, y, -1.\nAnswer: y, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**5 + 4*x**4 - 21*x**3 - 52*x**2 + 20*x + 48 = 0?\nAnswer: -6, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 267888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 710 + 1221?\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 8:12 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144 + 35 - -101) + 49 + -1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36995699 divided by -1.\nAnswer: -36995699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 391 (b) 7799 (c) 1\/7 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -971 or 175?\nAnswer: -971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 101*d + 990 - 1091 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7396 and 1548?\nAnswer: 66564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-468)\/(-90) + (-7 - -1)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1096, 0.061, -3\/7, 5\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -521 divided by -358335?\nAnswer: 521\/358335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14922, 14915, 14908, 14901?\nAnswer: 14894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -206035.7 + 231911\nAnswer: 25875.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 8, 2*v - s + 0*s = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 3:41 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = v + 4*v - 4*i, -5*i + 25 = 5*v. Suppose -7 = -v*d - 23. Which is the nearest to 0.1? (a) d (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-3))\/((-2)\/(-10)). Let a(g) = -g. Let z(s) = s**2 + 11*s + 10. Let b be z(-10). Let p(d) = -5*d + d**2 + b*d**2 + 0 + 0. Determine h*a(i) + p(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5021 + 4988 + (-1 - -94).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.86 + -1.14. Is 8 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millisecond in microseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 6*c - 150. What is the highest common divisor of c and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1659 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 131*a**3 - 91*a**2 - 4*a. Let k(b) = 262*b**3 - 181*b**2 - 9*b. Let q(h) = 4*k(h) - 9*m(h). Find the third derivative of q(c) wrt c.\nAnswer: -786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - 10*i + 5*q + 5 = 0, -2*i + 4*q = -18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3087143691.\nAnswer: 3, 2777, 370561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**7\/105 + 55*b**3\/6 - 29*b**2\/2 - b + 4. Let y(n) be the first derivative of x(n). What is the derivative of y(a) wrt a?\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 47. Which is the smallest value? (a) 3 (b) 1 (c) 0.5 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -70 - 36?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 36*c - 9. Let b(w) = 28*w + 31. Let i(a) = 15*a + 19. Let o(k) = -3*b(k) + 5*i(k). Calculate -9*o(u) - 2*y(u).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-7)\/(-28)) + -1 + 4700 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**4\/3 - 118*p**3\/3 + 736*p**2 - 2976*p - 9216 = 0.\nAnswer: -2, 12, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3463144, 3463145, 3463146, 3463147, 3463148?\n\"Answer: j + 3463143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/6*50\/15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.66 - 25.16. Let o = 1.3 + -0.3. Let z = o + 0. What is the closest to z in 1, 5, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7703.\nAnswer: 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -6)\/6*1\/(-2). Let k = -80.3 - -80. Is k != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-3 - (9 + -6 + 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1837, -33703, -120195, -288625, -566305, -980547?\n\"Answer: -4552*a**3 - a**2 + a + 2715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -64237218?\nAnswer: -64237213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + (1 - 10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34047?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*w = -72219, 17737 + 78541 = 4*r - 2*w. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 11:52 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1240 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2921, 5544, 8167, 10790, 13413, 16036?\n\"Answer: 2623*d + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -723, -921, -1131, -1359, -1611?\nAnswer: -1893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3262.8683 to the nearest 10.\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (3 - -11) - ((-1 - -11) + -12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*u - 2, 2*l - 2 = 2*u - 0*u. Calculate the least common multiple of l and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1794*v = 387*v + 22*v + 79308 for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -598 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2223\/4 - 1063\/2. Let d = -1\/1160 + 18567\/8120. Find the common denominator of d and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**6\/60 - 7*a**5\/40 + a**4\/8 + 55*a**3\/12 - 25*a**2\/2 - 53*a. Factor p(d).\nAnswer: -(d - 2)*(d - 1)*(d + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5104418 + 289815*a - a**3 + 8604749 - 2108641 + 2085*a**2 + 1827569 + 6*a**3.\nAnswer: 5*(a + 139)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15099251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*g - 2532, 3*q - 3*g + 2532 = -0*g. What are the prime factors of (-6)\/8 + q\/(-16)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**(-14)*p**7\/p**(-2) assuming p is positive.\nAnswer: p**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**3 - 1475*w**2 - 1490*w + 2960 = 0.\nAnswer: -2, 1, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 520984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 21007, 6, -3, -5 in descending order.\nAnswer: 21007, 6, 5, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 52186*i - 313140. What is f(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3719142*i**2 + 2868525.\nAnswer: 7438284*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -a - 6, -w + 47 = -0*w - 13*a + 2*a - 42 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 274*k**3\/3 - 97. Let b(r) = 5*r. Give b(x(m)).\nAnswer: 1370*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43373*i + 9*i**2 - 43373*i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 127289502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 958769107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4530200 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 75*i - 316 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 7) in base 4?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*((-6)\/15)\/(-1). Let t be 3*1\/w*4. Suppose o = 0, -4 = -3*l - t*o + 89. List the prime factors of l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4451, -5, -10 in descending order.\nAnswer: -5, -10, -4451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from uguummjgjmu.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 395\/45 - (-22)\/99.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 28*f**2 + 27*f + 23. Give i(27).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221831 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -37, -14, 21, 68, 127?\n\"Answer: 6*y**2 + 5*y - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255744, 511489, 767234?\nAnswer: 1022979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**5 + 40052*g**4 + 39980*g**3 - 680756*g**2 + 600720*g = 0. Calculate g.\nAnswer: -10012, -5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -19) + (0 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 116 = -11*i. Let c be (58\/(-4) + 1)*-2. Let u = c + i. Let k(w) = w**3 + 2*w**2 + 3*w. Determine k(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**4\/5 + 596*l**3\/5 + 10264*l**2\/5 - 234704*l\/5 + 907392\/5 = 0.\nAnswer: -278, -34, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19, -73, -173, -325, -535, -809, -1153?\n\"Answer: -y**3 - 17*y**2 + 4*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*231\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2103\/(-12))\/((-9)\/(-72)). Is i != -1404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90740 divided by 1.\nAnswer: -90740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1335 - -225.9?\nAnswer: 225.7665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27961 is divided by 76.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1798083916.\nAnswer: 2, 271, 1658749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**7\/105 - g**6\/5 - 37*g**5\/25 - 21*g**4\/5 + 9*g**3\/5 + 189*g**2\/5 + 148*g. Determine r, given that m(r) = 0.\nAnswer: -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -8e38d?\nAnswer: 8e38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52273 (base 11) in base 16?\nAnswer: 1299d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*q - 3780, 3*q = 7*s - 2*s - 3780. Calculate the least common multiple of 3 and s.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135 + -1621\/12. What is the third smallest value in -5, 5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**8\/6720 + u**7\/1260 + u**6\/720 + u**4\/4 + 2*u. Let g(b) be the third derivative of h(b). What is l in g(l) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 710373 - 262194. Let o = l - 1313477. Let y = 1735298 + o. What is y rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + -3*(sqrt(98) + 1))**2 + 1 + ((sqrt(22) - sqrt(88)\/sqrt(4))*5)\/(sqrt(121)\/sqrt(99) + sqrt(11)).\nAnswer: 84*sqrt(2) + 402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*l = 117*l - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.808 + -0.692. Let d = a + 4.3988. What is d rounded to 3 dps?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231469 and 2546159?\nAnswer: 2546159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 40*d**2 - 443*d + 45. Calculate t(49).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -100, -197, -288, -373?\n\"Answer: 3*d**2 - 106*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 + 26*z**2 + z - 10. Give b(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -11*q + 12. Let k be (-15)\/(-10)*(1 + 4\/q). What is the closest to -0.1 in k, -0.5, 4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 24*y - 48. Give x(-7).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**3\/6 - 4*r**2 + r. Let i be s(6). Is 4 + 1 + i + 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) 0.02 (c) 358\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -153\/1009 (c) 2 (d) 3\/2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 4*m**2 + 26*m - 3. Give f(6).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15350143 (base 7) in base 12?\nAnswer: 5b121a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4542 divided by 1514.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2 + 1366*h - 12132 = 0?\nAnswer: 9, 674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 703821218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2726 and 846.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 2210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 - -0.74. Let i = -0.46 - w. Which is the closest to -1\/2? (a) i (b) -2\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62*m**2 + 70*m**3 + 20*m**4 - 318*m - 2*m**4 - 656 + 692.\nAnswer: 2*(m - 2)*(m + 3)**2*(9*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-64)\/4))\/((-13)\/676).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 less than -739861?\nAnswer: -739861.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1443433 is divided by 2231.\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 39 - (-11 + 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -114.0400275 - -114.04. Round y to 6 decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324505 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*m - 4*b + 12, -b = -3*m + 22. Let k be -3*(-1)\/(m\/(-4)). Let p be 1 + -1 + (2 - 3). Sort 4, k, p in ascending order.\nAnswer: k, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 + 2*u + 8. Let w be -7*(-1)\/((-2)\/2). Suppose -524*m - 3762 = -18958. Calculate the remainder when b(w) is divided by m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1063777 and 81829?\nAnswer: 1063777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 - 26*p**2 - 935*p + 12683. Calculate i(14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 4, 3 in ascending order.\nAnswer: 2, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a + 20. What is h(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -1302*h + 3. Let t be r(-1). Suppose v - 3*x = -2*v + 1962, x - t = -2*v. What are the prime factors of v?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16680687 and 193?\nAnswer: 16680494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -697.6 - -698. Let i = -3.1 + 2.97. Let o = 0.07 - i. Which is the nearest to -1? (a) 1\/3 (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -545, -1364, -2491, -3914, -5621?\nAnswer: -7600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/128560 and -1\/88?\nAnswer: 1414160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-12) - 3\/(-6). Which is the nearest to -1? (a) -0.4 (b) -2\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5356.93ml?\nAnswer: 5.35693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27d29 (base 16) to base 13.\nAnswer: 59322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/12)\/((-1)\/(15\/5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**2 + 2 + h + 4\/3*h**3 + 1\/4*h**4. What is the remainder when 14 is divided by i(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -171, -306, -437, -564, -687, -806?\n\"Answer: 2*k**2 - 141*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 + 9. Let t(g) = 7*g + 30. Let h(m) = 13*m + 55. Let c(o) = 6*h(o) - 11*t(o). What is u(c(p))?\nAnswer: -2*p**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222215163 (base 7) to base 16.\nAnswer: cd3a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 112 - 6986a6?\nAnswer: -698594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1065800280.8 rounded to the nearest one million?\nAnswer: -1066000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 10*y - 1. Suppose 5*c + 4*q + 10 = 0, 0*q - 15 = 3*q. Suppose -2*t - 1 = -l - 2*l, c*l = t + 1. What is r(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2674 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 1000010100100?\nAnswer: 1000010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 - 174?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4)\/q**30*(q\/(q\/q**(-10\/3)))\/(q**1*q*q) assuming q is positive.\nAnswer: q**(-121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**2\/2 - 3*o - 350. Determine r(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -166\/5. Which is the fourth biggest value? (a) 0.1 (b) 5 (c) z (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 5*z**2 - 3*z - 5. Let h be a(4). Let p be ((-2)\/((22\/(-11))\/(-1)))\/((-14)\/8). Put h, 0, p in decreasing order.\nAnswer: p, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 7*a - 4*a. What is a rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2248.1859 hours?\nAnswer: 93.6744125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 23) + -26 - (-3 - 1 - 6).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -67 and -575.208.\nAnswer: -642.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 1:55 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-4))\/3)\/((-7)\/6).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.604903*-1.\nAnswer: -8.604903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 330356 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5204290 is divided by 181.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2*b + 8 = 0, 11784*a - 5*b - 40 = 11779*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1668, 23, 22, 0, -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = -21*m + 1272. What is the third derivative of 3*o**4 - 3*o**2 - 8 - m*o + 212*o - 3*o**5 wrt o?\nAnswer: -180*o**2 + 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 4)*(5*n + n - 5*n) + 2*n + 0*n - n + 2*n + 0 + 0)*(-3 + 3 - 1) - 6*n + n - 2*n + (2*n - 3*n + 0*n)*(-2 + 2 + 2) - 5*n + 3*n + n - n - n + 4*n.\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694591509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1527627*p**5 - 3*p**3 + 5*p**2 + 133599219*p - 1?\nAnswer: -30552540*p**3 - 18*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 35671, -6, 112?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*u**3 + 5230*u**2 + 14885*u?\nAnswer: -30*u + 10460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*2\/2*1. Let z be (2\/s)\/(4\/(-18)). Find the second derivative of 2*n + 0*n - 6*n**3 + 5*n**z wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3046 + -5.3046. Which is the fourth biggest value? (a) n (b) 1\/5 (c) 5 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 + 52 - 29 - 15*r - 5*r**2 = 0 for r.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 15*d + 11*d + 17 + 6*d. Give l(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 + (-15 - -15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2226 and 29\/105?\nAnswer: 11130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 9:21 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/17)*b\/b**(-2\/61))\/(b**1*b)**(2\/103) assuming b is positive.\nAnswer: b**(200410\/106811)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -2. Let v = w + -8. Factor 0*a**3 + 2\/5*a**4 + v*a + 2\/5 - 4\/5*a**2.\nAnswer: 2*(a - 1)**2*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-490)\/5*3\/(-2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*f + 32. Let m(b) = 4*b**3 + 5*b - 5. Let v(u) = -6*u**3 - 7*u + 7. Determine f*m(n) + 5*v(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6732)\/(-14) - (-11)\/77 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 529557 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 1d2?\nAnswer: -1d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 + 440\/(-20) - -16. Solve 2*s - 19 = -5*l, -10*s + 5*s + d*l = 35 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 - -86. Solve -2*z - 4*w - w - 22 = 0, -3*w - o = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 0*y**3 - 14 - 7*y**2 + 8*y + 6 - y**3 + 3. Let g be h(-8). Let t(k) = 2*k**2 - 5*k + 1. Let u(m) = -3*m**2 + 7*m - 1. Determine g*u(c) - 7*t(c).\nAnswer: c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -50, 6, -1, 3, 0.03, 115 in decreasing order.\nAnswer: 115, 6, 3, 2, 0.03, -1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*c + 1157 - 8923 - 2101. What is the remainder when c is divided by 94?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w + 8. Let x(y) = -3*y - 3. Let b(v) = 4*v + 4. Let u(z) = 2*b(z) + 3*x(z). Calculate -3*j(f) - 24*u(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -546 + 576. Suppose -4*b + 180 = 20. Calculate the greatest common divisor of b and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 1498411620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-2 - 1) + 1 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/4)\/(9\/96). Let v = b - 14. Factor -12*a + 4*a**2 - v*a**2 + a**2 + 12.\nAnswer: 3*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -444534.\nAnswer: 5\/148178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 163 (c) 5\/2009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1513*g + 184*g + 108750 = 192*g - 670*g for g.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17784, 32704, 47620, 62532, 77440, 92344, 107244?\nAnswer: 122140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/96 and 61\/24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 13.56053.\nAnswer: 13.16053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002333 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67.9 + -14.1. Let v = -102 - n. Let s = v + 20.00000065. Round s to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7924613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 221873680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -c - 2, -5*s - 1125 = -5*c. Let o be s\/(-3) - 4\/(-6). Let x = o + 132. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 3*q - 2. Let i(u) = -2*u + 1. Give -3*g(z) - 5*i(z).\nAnswer: -3*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l + 2*l - 33 - 15*l + 14 + 19.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -143, -145, -147, -149?\n\"Answer: -2*t - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 8 = -4*h, -2*f = -259*h + 256*h - 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450998 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 203 - 313300?\nAnswer: -3130b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*f + 1 + 0 + 88*f)*(-f**4 - 2*f**4 + 2*f**4).\nAnswer: 17*f**5 - f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2339?\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45 or 1?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c22 (base 13) in base 2?\nAnswer: -11101110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13*(-378)\/(-1365))\/2.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 10. Let x = -3290 + 3291. Which is the nearest to x? (a) 2\/7 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-18) - -3)*3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 303 in 3\/5, -0.2, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5288851741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*p**2 + 0 + 0 - 35*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m + 2. Let g(z) = -z**3 - 6*z**2 + 7*z - 2. Let v be g(-7). Calculate d(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (68 - 5) + -5 + -1 + (7 - 3) + -5\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.2688 - 0.2?\nAnswer: -8.4688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-8) + -3 - 4\/24?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/45)\/(4472\/260)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 284 + -274. Suppose 14 = -8*m - i. Let r(f) = -f**3 + 4*f**2 + 5*f - 2. Let n be r(5). Sort m, 5, n in descending order.\nAnswer: 5, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/9 + 806*m**4\/3 - 9640*m**3\/9 - 32*m**2\/9 + 4288*m - 38560\/9 = 0. What is m?\nAnswer: -2, 2, 1205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o + 19*o - 7*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/17)\/k*k*k)**(-1\/60)*(k\/((k\/(k\/((k\/((k*k**(3\/8)*k)\/k))\/k))*k)\/k))**50 assuming k is positive.\nAnswer: k**(30278\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -205 - -349. Let i be -2 - (2043 - (1 + 0)). Let n = o + i. Round n to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.6*5369.\nAnswer: -142815.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 364935491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5 + 1. Let z be (-8)\/(-3)*(-2 + -1). Let v(m) = -m - 5. Let q be v(z). Sort q, -5, f.\nAnswer: -5, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138154 and 3093?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from fffllfffffffflf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, -76\/2273, -75?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrx when three letters picked without replacement from xxxrxxnnrxxxxnxxnnxx.\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19716)\/(-15) + (-6)\/15. Calculate the greatest common factor of z and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26631, -53372, -80217, -107166?\nAnswer: -134219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12440441 (base 5) in base 6?\nAnswer: -2400212","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: -0.02 - 199467\nAnswer: -199467.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - 17. Let j be (-13)\/q + 26\/(-6). Let r be 1\/((-8)\/6)*j. Sort 5, -3, r.\nAnswer: -3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 + 94.928. Let j = -4.928 + o. What is the nearest to -0.06 in -0.5, j, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -277, -1\/155, 0.4?\nAnswer: -1\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-6))\/m**(3\/2))**(-10\/3)*((m*m**(-4)\/m)\/(m\/(m**(-4)\/m)))**(-39\/7) assuming m is positive.\nAnswer: m**(785\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500023025 (base 6) to base 8.\nAnswer: 40030671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, k: 2, s: 3, a: 1}. What is prob of picking 2 u and 1 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*g + 4 = 0, t + 2*g = -3*t + 4. Suppose h - 3*f + 83 = t*h, 3*h - 124 = -4*f. Let p = 56 - h. Calculate the greatest common divisor of 40 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 32*n - 85\/2*n**2 - 1\/2*n**3 + 0. Let m be o(-29). Solve 0*i + 8 = -m*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 401*p**2*v**2 + 2*p*v**2 - 95*p + 2*v**2 wrt p?\nAnswer: 802*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/108*135)\/((-1)\/14)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21ccd (base 14) in base 2?\nAnswer: -10100000010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.457196 millimeters in micrometers?\nAnswer: 4457.196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -171.9501 + 172. What is m rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r + 37. Let n(t) = 394*t - 259. Let p(h) = -21*a(h) - 3*n(h). Let l(v) = -v**2. What is l(p(o))?\nAnswer: -1498176*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (35 + -47 + -3 + 37).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 3:27 AM?\nAnswer: 499","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*(-11)\/(-22)*-4*6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*o = -o. Let v be 0 + 0 - (1 - 5). Suppose -2*a - 84 = -p - o*a, -284 = -v*p - 5*a. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3219 = 3*z + g, -3038 = -4*z - 3*g + 1259. What are the prime factors of z?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)*l\/(l**3\/l)*l**(-6)*l*l*l**(-4\/3)\/l)\/(l\/(l\/(l\/(l\/(l\/(l*l**(3\/4)*l)))*l)*l)*l**3*(l**(-1)*l)**(1\/4)) assuming l is positive.\nAnswer: l**(-115\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -3*o**5\/4 - 3*o**4\/8 + o**3\/3 + 6*o**2. Determine i so that g(i) = 0.\nAnswer: -1\/3, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48168960.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -2*r + 3*c - 4, 4*c + 28 = 2*r. Let t be (20\/15)\/(4\/r). Let m = 3 + t. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 4. Suppose h*m = m + 24. Suppose n - m = -3*d, 0 = 3*d + 2*n - 1 - 12. Which is the nearest to -1\/4? (a) d (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a century in months?\nAnswer: 12480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 - 144 = -2*s - 4*q, 3*q = 0. Suppose 2 = -b + 2*b. What is the smallest common multiple of b and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -1\/2*r**2 + 0*r - 10. Let i(l) be the third derivative of l**5\/4 + l**2. Give i(x(z)).\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5341, -10696, -16051?\n\"Answer: -5355*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 304, 58468?\nAnswer: 58468","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a**4 + 1006*a**2 - 369*a + 15297475 wrt a?\nAnswer: 12*a**3 + 2012*a - 369","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2736109.\nAnswer: 1601, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026916137 rounded to three dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -17. Let p(h) = h**2. What is the units digit of p(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*x**2 - 36*x**2 - 87*x**2.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1340)\/(-268) - ((6 - -1) + -1). Which is smaller: -88\/19 or z?\nAnswer: -88\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - n**2 - 5*n + 3*n + (n - 4 + 4)*(-n + 4*n - n) to the form k + t*n**2 + o*n and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -1)\/((-4)\/6 - -1). Sort 1, -0.22, l in descending order.\nAnswer: 1, -0.22, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95485 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 15. Let r be y(11). Let t = r - 16. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-3*2 - sqrt(84)) + sqrt(84) - sqrt(84)*4*6)\/(3*4*sqrt(12) - 6*5*sqrt(12)).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26962*n - 26963*n = 12 + 9 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-6))\/(2\/4). Let t = m - -6. Let i(y) = -2*y + 2. Determine i(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6687 and 18.\nAnswer: 13374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2. Let z(c) be the third derivative of -475*c**4\/2 - c**2 + 4638. Give z(j(f)).\nAnswer: -5700*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1664 and -99\/10132.\nAnswer: 4214912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 105, 81, 31, -57, -195, -395?\n\"Answer: -2*v**3 - v**2 - 7*v + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -5\/3 (c) 2 (d) -653\/23 (e) 0.056\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 2 - 9*p**2 + 2*p**3 - 4*p**3 + 5*p**2 - p**4 as v*p**3 + t*p**4 + k*p + h + y*p**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 2:42 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - c - 94 = 0, 3*n + 0*n + 54 = -3*c. Let s = n - -34. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 - b + 2. Let z be w(1). Solve -u + 3 = 5, -30 = 4*t + z*u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s. Let v be c(-2). Suppose -3*y - 3 + 11 = q, -5*q = -5*y - 20. Solve v*i - y = -5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**6\/180 - l**5\/24 + l**4\/24 - 5*l**3\/6 + 4*l**2. Let o(b) be the first derivative of c(b). Give o(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -31*y + 289. What is x(4)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/(-1))\/(17\/(-1547))?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 389*y - 54*y + 602*y - 79*y + 153*y + 488 wrt y.\nAnswer: 1011","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssrk when four letters picked without replacement from {v: 1, r: 1, x: 1, k: 1, s: 2, j: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.8571 - 698.\nAnswer: -667.1429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2 + 12. Suppose t*k + 0 + 2 = -2*r, -r + 4*k = -12. Solve 4 = -3*f - 0*f - r*j, 0 = -5*f + 2*j + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4\/3)\/(v\/v**7*v))\/(v**(-1\/6)\/(((v*v**(4\/3))\/v*v)\/v)))\/((v*v**1)**19\/(v*v**(2\/7)\/v)**(-17\/5)) assuming v is positive.\nAnswer: v**(-7099\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1013085.\nAnswer: 3, 5, 47, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4\/13 - 686*j**3\/13 - 9948*j**2\/13 - 17136*j\/13 = 0. What is j?\nAnswer: -12, -2, 0, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/1028 and -20\/4369.\nAnswer: 17476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -2872?\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122736266 is divided by 12273626.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14263 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10877469 is divided by 1899?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.079 (b) 69 (c) -920\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.01954264 rounded to 2 dps?\nAnswer: -60.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1083461 divided by -2771?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(76) + 2)*-3 - 6*2*sqrt(76)*-3.\nAnswer: -6 + 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 6. Let m be (4\/w)\/((-1)\/2). Solve -2*z - 8 = 3*q + 7, 4*z = m*q - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/(-8 + 5). Let m = 0.81 + 2.64. Let r = 0.55 + m. What is the nearest to r in -1, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, -4, 1 in decreasing order.\nAnswer: 7, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 - 2*y**5 - y**2 + (-y**3 + 1 - 1)*(-1 + 1 + 2*y**2) - 2*y**5 + 10 - 10 - 2*y**5 - 3*y**4 + y**3 + 3*y**4.\nAnswer: -8*y**5 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**5\/10 - 3*v**4\/8 - 3*v**3\/2 - 5*v**2\/4 - 90. What is k in j(k) = 0?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**2\/2 + p - 7. Let o be q(-1). Let f be o - ((-10)\/6 + 4). What is the closest to f in -0.4, 3, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348340389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is -15524186 minus -1.7?\nAnswer: -15524184.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 148 - 146. Let y(p) = 40*p + 36*p - 112*p - w + 34*p. Give y(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 27257609 to the power of 1\/3, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 13 - 3. Let u be l - 0 - (-3)\/2. Let q = 18.75 + -10.75. What is the closest to 0.1 in u, q, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 6*m + 3. Let f = 3 + -1. Suppose 8 = -2*c + 4*x, -f*c = 3*c + 3*x + 33. Is 2 a factor of i(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 - -231. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 289216224 and 1584.\nAnswer: 289216224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.1 - -28.1. Let l = -0.59 + -21.41. Let s = l + d. Which is the nearest to 1? (a) -4 (b) s (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tggrtrggrgrggrrtgtgg. Give prob of picking 2 g and 1 r.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 91585?\nAnswer: 91585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106660128 and 288?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1121 (base 3) to base 6\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -229, 3, 4 in descending order.\nAnswer: 4, 3, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -17*w - 99. What is i(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -30. Suppose 0*b + 5*b = 110. Suppose b*q - r*q = 24. Calculate the smallest common multiple of 2 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5582421?\nAnswer: 3, 13, 47713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) -2257 (b) -2\/15 (c) 61\/5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 40*y**2 - 2*y + 2. Let q be v(3). Suppose 2*s - q = -2*f, 0 = -2*f - s - 4*s + 353. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3622546488 to the nearest integer?\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 33*c**3 + 163*c**2 - 1036*c - 5121. Give k(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 3712*d**2 - 26021*d + 44628.\nAnswer: (d - 4)*(d - 3)*(d + 3719)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -206889822*i**2 - 22*i - 10583504 wrt i?\nAnswer: -413779644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61725.83917 rounded to the nearest 100?\nAnswer: 61700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*k + 43 + 12 - 371 = 0. Factor 1\/7*v**2 + 0*v + 1\/7*v**k + 0 - 2\/7*v**3.\nAnswer: v**2*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*7\/(14\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425069685?\nAnswer: 3, 5, 9445993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - c**2 + c + 3. Suppose -7 = -3*h + 5. Suppose 4*v - 4 = h*j, j - 2 = -4*v - 3. Determine f(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*t + 7*t - 703248 = 0. Let q be (3\/(-4))\/(46\/t). What is the highest common factor of 63 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -738*r - 10. Is q(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -21. Let w(b) = 2*b**2 + 2*b - 1. Let a be w(1). Suppose a*o - 4*o - 1 = 2*g, 4*o = -2*g - 16. Are x and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.088 + 48.088. Let z = -48.46 + j. What is z rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1400 divide 369022409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/9)*u*u**8)**(-2\/71)\/((u\/(u*u**(-1\/3)))**(-31)\/(u**1*u*u*u**(2\/7))) assuming u is positive.\nAnswer: u**(59812\/4473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-21)\/(p\/(p*p**15*p)))\/(p\/p**(9\/4))**36 assuming p is positive.\nAnswer: p**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 297656601 to the power of 1\/4, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5))**(-17)\/(h**(2\/29)*h*h**(-2\/13)) assuming h is positive.\nAnswer: h**(31700\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 21 = -h, 174*q = 169*q - 4*h + 21 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-97)\/1746*-2*-630.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -0.3, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 - 5*g**3 + 3*g**3 + (22*g**3 + 2 + 6*g**3 + 5*g**3)*(0 + 0 - 1) to s*g**2 + l*g + n + a*g**3 and give a.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 769 * 0.073\nAnswer: 56.137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 0*l**4 + 1\/360*l**6 + 0 - 1\/1008*l**8 + 0*l + 0*l**3 + 3*l**2 + 0*l**7 + 0*l**5. Factor w(n).\nAnswer: -n**3*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 5. Let f be c(3). Suppose -4*l - 22 = -d - 3, -f*l = -2*d + 8. Which is greater: d or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 343902 and 144?\nAnswer: 8253648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1 + 5*v**2 - v + 3 - v**3 + 2*v**2 + 9*v - 3. Determine h(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from {k: 1, t: 4, u: 1, r: 2, x: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -18021903.\nAnswer: -18021902.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 997 is divided by 194.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 12:20 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 424929*m - 21573500*m.\nAnswer: -21998429*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7285\/2 or 3644?\nAnswer: 7285\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13352 and 4056.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -14. Suppose -4*f = 8, y - 5*f = 711 - 698. Suppose 2*i - y*l = -4 - 0, 0 = -4*i + u*l. Solve 1 - i = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*q + 17 = -2*g, -3*q + 7 = 2*g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 12, o: 3}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 25. Let g be w(23). Is 11 + 10 + -23 - (-75250)\/g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = 8*m - 12*m. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -55.\nAnswer: -47\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 12*c - 1026. What is the greatest common divisor of c and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 5, -3*n - 3*t = 2*n - 40. Let v = 2 - 1. Let h = -1.3 + 0.3. Which is the second smallest value? (a) n (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 - (2 + -6) - -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-w + 3*w + 0*w)*(4 + 0 - 3) + 0*w - 3*w + 23*w)*(-1 + 3 - 4) - 2*w + 0*w + w + (-3 - 4 + 4)*(w + 9*w + w) to q + c*w and give c.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (-4 + sqrt(36)\/(sqrt(60)\/(sqrt(5)*1)) - (1 + sqrt(3888) + sqrt(3888))*5))**2.\nAnswer: -386839 - 10052*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1322754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 - -56. Which is the closest to -1\/3? (a) -2 (b) h (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 46*t - 468. Let c be f(20). Let g = -416 + c. Solve -5*u - 16 = -g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*v - 12, 20 + 14 = 3*v - 2*l. Let p = v - 7. Suppose p*c - 93650 - 32350 = 0. What is c rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*d**2 + 2)*(-2 - 3*d**3 + 2).\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (258\/(-8))\/((-2)\/(-112)). Let f = -975 - v. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1909*k - 1130*k - 794*k.\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22996.648 less than -6177?\nAnswer: -29173.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1235 * 0.2.\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 3:30 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 29*w**2 - 4*w + 4. Let z(s) = -s**3 - 29*s**2 + 5*s - 5. Determine -5*h(o) - 4*z(o).\nAnswer: -o**3 - 29*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 722208314.3 rounded to the nearest ten thousand?\nAnswer: 722210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11023222 (base 4) to base 12\nAnswer: 1034a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddyyyyddyyyyddydydyd. What is prob of picking 2 d?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-70))\/((-15)\/21)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22329060650 and -4.\nAnswer: 22329060646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3\/3 + 143590*x**2\/3 - 4599488*x + 110424576 = 0. What is x?\nAnswer: -71891, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2 - 21*k - 11. Suppose 2*r + 18 = -r. Calculate the remainder when w(r) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 1, 0.4, 137 in descending order.\nAnswer: 137, 5, 1, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/((s**(-1\/6)*s)\/s)))\/s)\/s)**2*(s\/s**(-6\/5))**(-48) assuming s is positive.\nAnswer: s**(-1649\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q - 20. Let z be y(7). Is (-1 - (-4011)\/z) + 15\/25 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2579, 5156, 7735, 10316, 12899, 15484?\nAnswer: 18071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/8)*o*o\/(o**(4\/17)\/o))\/(o**(-2\/97))**(-26))**(1\/11) assuming o is positive.\nAnswer: o**(31049\/145112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 411 - 348. Suppose l*w = -10*w + 3306. Is w a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (61 - 58) - (-3 - (1 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/8)\/(5\/(-40)). Let d(a) be the first derivative of -a**2\/2 + 21*a - 19. Let h be d(t). Sort h, 5, -5 in ascending order.\nAnswer: -5, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 6 - 0. Let q be (0 - -15)*((0 - -5) + 1). Suppose -w*s = -s - q. Calculate the highest common factor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (15 - 143) - -61?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34355780 by 4.\nAnswer: 8588945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 14, s: 5}.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92.93660125 + 0.06425875. Let m = 93 - h. Round m to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-45)*3*-1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1388243130.\nAnswer: 2, 3, 5, 46274771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 291, 1\/18, -1\/3, -2?\nAnswer: 291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - 7.2. Let i = -7.8 - j. Which is greater: -0.2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**3\/3 - 9*t**2 + 81*t + 42. Factor u(w).\nAnswer: (w - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30.36 - 30.31. Let v = 1 - 1.3. Let s = -0.8 - v. Which is the smallest value? (a) 5 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-2\/27)\/f)*f**(3\/8))**(-5\/12)\/((((f**3\/f)\/f*f)\/(f*f\/f**(-2\/5)))\/(f**0)**(2\/49)) assuming f is positive.\nAnswer: f**(-8041\/12960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -342*i**3*k + 2055*i**2 - 49*i + 135*k + 21 wrt i?\nAnswer: -2052*i*k + 4110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9820405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/180)\/((-72)\/20)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 21855.\nAnswer: 437.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + z + 16, 3*i + 24 = -95*z + 99*z for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2*w**2 + 2*w**2 - w**2.\nAnswer: 3*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 1. Let h = b + 17. Solve 2*f + 2 = 0, 3*y + h*y + 21 = -f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 8*g - 2. Let x be o(6). Suppose 4*s = -j - x, -2*s - s = -4*j + 17. What is the greatest common factor of 8 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 8064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 13*i**2 + 3*i + 189. Let c(z) = 13*z**2 + 3*z + 191. Let n(v) = 6*c(v) - 7*p(v). What is the first derivative of n(t) wrt t?\nAnswer: -26*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35067 + -35074. What is the nearest to -2 in b, 6, 1\/10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12 of a millennium in months?\nAnswer: 13000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 7*o**2 + o - 6. Let z be t(7). Is (-1909)\/(-46)*z*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -1, 1, -132172 in descending order.\nAnswer: 5, 1, -1, -4, -132172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20560*t - 34911*t + 19854*t.\nAnswer: -35617*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45a6 (base 11) in base 10?\nAnswer: 6045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80421449 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -330336 divided by -666.\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 408\/19195?\nAnswer: 408\/19195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*k + 18, -2*k + 13 + 5 = -2*l. Suppose -2*f + k = 5. Calculate the greatest common divisor of 16 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*v**4 + 1345*v**3 + 1714*v**2 + 336*v.\nAnswer: -v*(v - 42)*(v + 1)*(33*v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s + 4*s - 2*s**3 + s**3 + 10*s**2 - 4*s. Let m be v(4). Calculate the greatest common factor of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.006665*0.4\nAnswer: 0.002666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77 - -23)\/(-527 + 572).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a + 5*a - 3*a + (-5*a + 5*a - a)*(-1 - 4 + 2) in the form d*a + b and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -615772 times 0.7\nAnswer: -431040.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/7 - 12\/42. Suppose m*y - 6 = 0, -2*y + 27 = 3*t - 9. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 134111 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -4, -29, -74, -145, -248, -389?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 7:26 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4886584?\nAnswer: 2, 610823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzzzzznnm. What is prob of sequence zm?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.08 + 3. Let u = -3.08 - a. Sort -0.07, u, 4 in ascending order.\nAnswer: u, -0.07, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.2, -764\/3, 2\/29 in descending order.\nAnswer: 0.2, 2\/29, -1\/4, -764\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 - 5331*i\/2 - 64836.\nAnswer: 3*(i - 1801)*(i + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + a + 777. Let s be i(0). Suppose -b = -3*d + s, 0 = -8*d + 9*d + 2*b - 266. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19626 - -69651. Is (5 - (-172)\/(-36)) + y\/27 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*m - 3, -2*w - 4*m = -5*m - 7. Let b be 7\/2 - 3\/w. Solve -5*c = 23 - b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132241363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -748 - -1437. Let a = c - 437. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1467*s + 8 - 8 - 22*s to h*s + w and give h.\nAnswer: 1445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + 25. Suppose -v + 3 = -4*w - 5*y, -3*y = -3*w + 48. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 529, 527, 525, 523?\n\"Answer: -2*k + 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*((0*o - 3*o + 2*o)*(0 + 1 + 0) + 11 + 2*o - 11 + (67 + 23 - 51)*(2*o + 3*o - 4*o)).\nAnswer: -80*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 + 47. Let c be (6*(-3)\/15)\/(d\/5). Solve -4*j + 8*j - 2*f - 12 = 0, c*f + 3 = 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*h**4 - 14 - 27 + 36 + 6 + 66*h**3 in the form v*h**4 + f + c*h**3 + w*h**2 + l*h and give c.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24664038?\nAnswer: 2, 3, 7, 151, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyoywyyajy. What is prob of sequence aoj?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*y**2 - y + y)*(2 - 1 - 2) + 5*y**2 + y**2 - 3*y**2.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 18128.\nAnswer: 54384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - -2. Let w be 1\/((-854)\/214 - -4). Let c = 108 - w. Solve c = 5*g - 5*l + y, -g - 11 = 2*l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17135976541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -2 (b) -3\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 746 and 583.248.\nAnswer: 1329.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 117 = -c + 109, -3*c = -5*a - 48 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5551 - -568. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.5946044077 less than 0.09?\nAnswer: -80.5046044077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -19*s + 19. Let a be v(-9). What is the greatest common factor of 38 and a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 498 = -0*b. Find the common denominator of (4\/(-8))\/(2\/b) and 9\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21221200102 + 1?\nAnswer: -21221200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -18611?\nAnswer: -18610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-117)*(-132)\/16.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:52 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 - (-1 + 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 339 = 5*b. What are the prime factors of b?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -154*s. Let u(p) = -3*p. Determine u(f(w)).\nAnswer: 462*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 15 = -12. What is the greatest common divisor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2055, -4115, -6175, -8235?\n\"Answer: -2060*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/6553616 and -45\/1192.\nAnswer: 6553616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018871119 rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1118\/(-22) - 10\/55. Let m = 52 + w. Suppose m - 3\/4*d**4 - 5\/2*d**3 - 7\/4*d**2 + d = 0. Calculate d.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 76009396*c + 722178535035602.\nAnswer: 2*(c - 19002349)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t**2 - 6*t - 1. Let b(f) = -13*f**2 - 11*f - 2. Let a(g) = -6*b(g) + 11*s(g). Suppose 5*q - 2 = 3. Let d be 0 - (q - 0) - -1. What is a(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 - 0.18. Let x = n - 5.75. Let k = x + 6. Which is smaller: k or 20?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84 + 337 - 2*d - 990*d**2 + 1418*d**2 + 152 with respect to d.\nAnswer: 856*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197076468 to the power of 1\/3, to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -661*w**6 - 71*w**5 - w**3 - w**2 + 26*w - 1597?\nAnswer: -79320*w**3 - 4260*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 3*w + 5*w)*(6 - 2 + 3).\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6517 + 6323. Which is the third biggest value? (a) 0.3 (b) 10 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + 1 + sqrt(3))**2 - ((sqrt(30)*3)\/sqrt(10) + 0).\nAnswer: 9*sqrt(3) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(2 - 84\/40)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 3. Let s be c(0). Let k be (s\/2)\/((-1)\/6). What is the units digit of (-2)\/8 - k\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + 2\/(-8) + 161\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 115, 168, 205, 220, 207, 160, 73?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3204*q + 3181*q = 0. Sort -5, -106, q.\nAnswer: -106, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -15*x**3 - 5*x**2 + 11*x + 34. Let n be w(-4). What is n rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*u + 13 - 5654 - 4838 = 8301 for u.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**2 + 13*w + 11. Let p(r) = 5*r**2 + 13*r + 11. Let x(b) = 6*n(b) - 5*p(b). List the prime factors of x(10).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 57, 129, 229, 357?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.9 - 4. Let m = 0.08 + 0.32. Put m, 4, f in decreasing order.\nAnswer: 4, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.8 - -386. What is h rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 8 = -4*q. Let z(o) = -2*o + 2. Let c(l) be the third derivative of -5*l**4\/24 + 5*l**3\/6 - l**2. Let v(f) = q*c(f) + 8*z(f). Give v(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -32.\nAnswer: -31.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/3))**29\/((v\/((v**2\/v)\/v))\/(v*v**(1\/4))) assuming v is positive.\nAnswer: v**(467\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1 + 4*y**2 + y**2 + y - 2*y + 0*y. Calculate l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -3434?\nAnswer: 3442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 23*d**2 + 2*d - 38. Let z be s(23). Solve 5*i = 2*k - 7, i - 5*k + z - 25 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 49, -872.\nAnswer: -872, -11, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11697 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o + 10. Let j be b(-6). What is the highest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57477 (base 8) to base 6.\nAnswer: -304515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 342838001?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7177 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*u**3 - 575*u**2 - 2625*u = 0. What is u?\nAnswer: -105\/2, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**2 + 2620*y + 28. Let q(o) = 9*o**2 + 2620*o + 35. Let g(j) = 5*l(j) - 4*q(j). Factor g(n).\nAnswer: 4*n*(n + 655)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 5:15 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*q - 72*q + 4866862 = 0. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.23 + -9.23. Let t = 28 + -50. Let j = t + 32. Which is the smallest value? (a) -1 (b) k (c) 3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 14. What is f(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.391645 months?\nAnswer: 0.0019930375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -24. Let d(u) = 3*u**3 - 4*u**2 + 5*u + 4. Let q(t) = -t**3 + t**2 - t - 1. Let r(n) = x*q(n) + d(n). Factor r(f).\nAnswer: -f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10571*z**5 - 18507*z**4 + 5976*z**3 - 540*z**2 = 0.\nAnswer: 0, 6\/31, 15\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(4 - 4 + 2*h) - 75 + 52*h + 75 as q*h + k and give q.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 27 = -2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 18 + 18 + (2*w + w - 5*w)*(4 - 1 - 1))*(-26 + 9 + 8)*(-7*w**2 + 3*w**2 + 57*w**2).\nAnswer: 1431*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7 of a week in hours?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10191227 by -4.\nAnswer: -10191227\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-66)*(-7)\/(238\/51).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5945, -11892, -17839, -23786?\n\"Answer: -5947*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 960 and 244685040?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/9137 and -47\/32?\nAnswer: 292384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1848, -3739, -5630, -7521?\nAnswer: -9412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 + -346\/5. Let k(d) = d**3 + 1. Let f = -13 + 13. Let g be k(f). Which is greater: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17536 - 9903. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/((b**(-26)*b)\/b)*b))\/b)\/(b*b**(-3\/5)) assuming b is positive.\nAnswer: b**(-142\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4104 divided by 36.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*-1*sqrt(57)\/(sqrt(3) + sqrt(27)).\nAnswer: -3*sqrt(19)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 2. Let n(s) = s**2 + s - 16. Let i be n(0). Let l be ((-2)\/(-6))\/(-17 - i). Which is the smallest value? (a) l (b) f (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19545556 to the nearest 100000.\nAnswer: -19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -4*h - 58. Solve 4*s - 3*s + 3*p = h, -16 = -4*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.2, -11, -0.4, 0.0576, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*v - 35 - 1, 5*v - u - 39 = 0. Solve v*o - 5 = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**6\/840 - 9*o**5\/140 + 37*o**4\/84 - 8*o**3\/7 - 99*o**2 - 13. Factor g(a).\nAnswer: (a - 24)*(a - 2)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107773 to the power of 1\/2, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -12. Let d = x + 6. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**3)\/(y\/(y\/y**(-4))))\/((y*y**(2\/21))\/y*y**(-1\/8)) assuming y is positive.\nAnswer: y**(341\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/1)\/(77\/33). Let w be 2\/10 + 2\/(-5). Sort 2, w, z.\nAnswer: z, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/14, 0.6, -6, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-51)*2\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-9)*12\/(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = 133*t + 290 + 339 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 515751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 0*z**4 + 5*z**3 - z**4 - 13*z**3 - 1 + 12*z**3 + 2*z**2 to h*z**4 + i*z**3 + u + t*z + y*z**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvqbvvvvmvmwwvqtqv. What is prob of picking 1 v, 1 w, and 1 m?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4014 a factor of 157926816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 428 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, e: 2}. What is prob of picking 1 e and 3 w?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 9:35 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 4*o**2 + 8*o - 10. Let m be r(5). Suppose -2*j + 31 = m*s, 5*s - 21 - 19 = -5*j. Let q(d) = -9*d + 3. What is q(j)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6.278227 weeks?\nAnswer: 3797071689.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4.7, -1\/6, 4, 286?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 0 + 0 + -1. Let z(u) = -u**2 + 6*u - 3. Let f be z(5). Suppose -5*c = f*a - 51, -c = -1 - 4. Solve -4*w = -m - 16 - 0, -w - j*m = a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 3*l**5\/20 + l**4\/3 + l**3\/2 + l**2 + l. Let w be i(-2). What is the tens digit of 1*17 - 0\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5206898m to micrometers.\nAnswer: 520689.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 8:26 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -288*i - 28. Let v(m) = 96*m + 9. Let z(f) = -2*r(f) - 7*v(f). What is the units digit of z(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1225) - (sqrt(1225) - (sqrt(1225) + sqrt(1225)*-1 + sqrt(1225))*-6))\/(sqrt(25)\/((sqrt(50) - sqrt(200))\/sqrt(10))).\nAnswer: 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61583 + -61580.4. Let l = 0.07 + -0.37. Which is the smallest value? (a) l (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 500 and 1840.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -c + t, 0 = 3*c - 2*t + t + 16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75.30000377 - 75.3. What is b rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -2, -9 in increasing order.\nAnswer: -9, -2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-2)\/(-16))\/((-3)\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 2)*(25 + 9975\/(-400)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 418414 or 418416?\nAnswer: 418414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.73077 minutes in milliseconds?\nAnswer: 2203846.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4525260 (base 7) to base 3\nAnswer: 1001111221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-1) + -3)\/(-1). Let b = -16 + 18. Let a(o) = -b*o + 2*o + 45*o**u - 44*o**2 + 1. Calculate a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4 - 6893\/244. Put -3, j, 1 in descending order.\nAnswer: 1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -29634, -26717, -23800, -20883?\n\"Answer: 2917*q - 32551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 12:37 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(j - 2*j + 2*j) - 4 + 3 + 0*j - 17*j + 0*j - j + 4*j + 2*j + 2*j - 3*j + (1 + 0 + 1)*(j + j - j) + 1 - 1 + 2*j.\nAnswer: -7*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**5\/12 - 5*r**4\/6 + 5*r**3\/2 - 6*r**2 - 6. Factor q(y).\nAnswer: 5*(y - 3)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3308 and -87\/2.\nAnswer: 3308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 21 + 52. Let o = a - -89. Let r(t) = -t**2 + 15*t + 18. Let h be r(o). Solve 30 = -5*u - n, h*u - 5*n = u + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - -37. Let u be (-4)\/3 + (-68)\/(-6). Let s(w) = -3*w + 38. Let m be s(u). Calculate the greatest common divisor of m and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 415*w**2 + 2*w + 415*w**2 - 3*w**4 - 3*w**3 as s + n*w**2 + b*w**3 + p*w**4 + k*w and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240992.\nAnswer: 2, 17, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*t - 976 = 342*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.02, -1\/3, -2\/5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/15 + 7\/15. Let q = 1 + -1\/3. Let v = -2 - -4. What is the nearest to -2 in z, q, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2661703 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 812000 by 14000.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(7) + sqrt(252)))\/sqrt(2).\nAnswer: sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -6. Let q be (-104)\/(-546)*-32 + 5 + 1. Which is the third smallest value? (a) q (b) -3\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*o**3 - 3*o**3 + 2*o**3)*(40 + 68 - 141) + 6*o**3 - o**3 + o**3)*(-3*o + o**2 + 3*o).\nAnswer: -126*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 70*d + 66*d + 17468, 5*q - 87388 = -4*d. List the prime factors of q.\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11868896 a multiple of 1648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000736169 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*y - 66*y + 3 = 0. Let j = -3 + 4.3. Sort j, y, -1 in decreasing order.\nAnswer: j, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9 - 4. Let f = 78\/497 - 1\/71. Which is the biggest value? (a) j (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 8*z - 9. Let j be k(-9). Solve j = -2*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 28*s**2 + 407 + s - 39*s**2.\nAnswer: -11*s**2 + 4*s + 407","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 9. Suppose 5*x - 8 = x. Is f*x\/(-8)*36 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 5:14 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 15. Let o = -3 - m. Let r = 2.25 + -2.45. What is the second smallest value in r, -1\/2, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x - 3*x - 2*x)*(3 - 1 + 0)*(4*x**2 - 1 - 4*x**2 + x**2) in the form a*x + f*x**2 + n + h*x**3 and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 279, 675, 1229, 1941?\nAnswer: 2811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123499\/39380 - -1\/3580. Let u(b) = b**3 + 6*b**2 - 11*b - 32. Let v be u(-7). Calculate the common denominator of (-1)\/(-6)*v*447\/(-12) and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0059111629 to 6 dps.\nAnswer: -0.005911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11073256316 - -658\nAnswer: 11073256974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*a = 18, 3*q = a - 3 + 1. Is (1 + (q - 4 - -4))*-1481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, n: 1, j: 1, t: 1, c: 4, e: 1}. What is prob of picking 1 p and 1 e?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 + 414?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 6*o**2 + 3*o**2 - 8*o**2 - 2*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3807, 3802, 3797?\nAnswer: 3792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4088253.71 and -0.2.\nAnswer: 4088253.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261384811.\nAnswer: 23, 11364557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*y + 184, -119 - 101 = -5*y + 5*r. Let f = -59 + 75. What is the highest common factor of f and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4395 is divided by 2832?\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00438646 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**4\/12 - t**2. Let v be 4\/(-14) - 18\/(-14). Let q(p) = -p**2 - v + 1. Determine z(q(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104966, 209962, 314958?\nAnswer: 419954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 2:08 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1\/7, -0.044, 0.1, -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n**2 - n - 11. Suppose w - 2 = 3*y, -2*w + y + 3*y = -4. Let h = -62 + 64. Let m(u) = u**2 - h*u + 3*u - u + w. Determine 2*f(g) + 11*m(g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -155*y + 158*y - 18, 4*w = -3*y + 23. Solve 47*u = 51*u - w*d + 7, 2*u - 2*d = -4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110 a factor of 34152480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*f = -75*f + 4*o - 60, 5*o = 4*f + 57 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oox when three letters picked without replacement from uonxosoo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 d when three letters picked without replacement from lldd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 - -137. Suppose r - j = -2*w, -r + 4*r - 52 = -w. What is the lowest common multiple of r and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 d when four letters picked without replacement from {d: 3, k: 2, j: 5, l: 7}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 9*n - 20. Calculate f(10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -283*n**3 - 1776*n**2 - n?\nAnswer: -1698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1825840 and 464?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33320 - -11?\nAnswer: 33331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/35 and (1 - -1) + (-252)\/110.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1347230 by 6770.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-3))\/((-3)\/(-9)). Let w = -24.01 - -2.31. Let o = -22 - w. Which is the nearest to q? (a) 0 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-14))\/(5\/((-40)\/(-16)))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((1 - 3) + (1 - -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-43815)\/(-1127) - 39)\/(1*(-2)\/14)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -811*p - y = -808*p - 13, 2*y + 4 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 429*5\nAnswer: 2145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -11*w**3 + 44*w**2 + 2. Let i be c(4). Let n be -4*(2 - 10\/4). What is the highest common factor of n and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*c - 72*c + 3*x + 142, 5*c - 4*x - 341 = 0. Solve -15 = 10*k - c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 - 804*s**3 + 2433*s**2 - 1626*s.\nAnswer: -3*s*(s - 2)*(s - 1)*(s + 271)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/8 and 49\/312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2) - 2 - (-5 + 2). Let m(u) = 777*u**2 + 0*u + u - 2*u**3 - 782*u**q. Let k(i) = i + 2 - i**2 - 2 - i**3. Give -3*k(b) + m(b).\nAnswer: b**3 - 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*u = 365, -c - 2*u + 36 = -83. Let a be c - 8\/(4 + -2). Suppose m - 5*z - a = 0, -189 = -2*m - 0*m - 5*z. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001000 - 1?\nAnswer: -1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 15 = 3*k - d, -k - 2*d = 1. Suppose -m**4 + m**3 + 0*m - m**k + 16 - 16*m + 4*m**3 = 0. Calculate m.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 18*v - 21. Is z(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -a838?\nAnswer: a838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 0, -3 in descending order.\nAnswer: 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13677 divided by 1.\nAnswer: 13677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6) - (-3)\/((-36)\/82).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -67, -118, -187, -280, -403, -562, -763?\nAnswer: -1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-25) - (-103 - (-59179)\/575).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 496 = 204. Let y be 5*(p\/25)\/(-7). Suppose -5*k - 36 = -2*x - 0*x, -3*x + 20 = k. Calculate the greatest common factor of y and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/35? (a) -1\/138 (b) -0.2 (c) 1 (d) -0.1 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100100 (base 2) to base 7.\nAnswer: -1016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (110 - 0)\/(84\/(-36) + 3) is divided by 57?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1872) - (sqrt(13) + (sqrt(13) - (sqrt(325)*-2)**2)).\nAnswer: 10*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621026 plus -0.038?\nAnswer: 1621025.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -1, 10, -34\/7, -8?\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2010 - -1033. Let y = 1714 + r. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 d when three letters picked without replacement from mmdvxddvxvvwuxv?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by -1 + (77 - (11 + -6))?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 19*a**2 - 3*a - 24. Let u(q) = 10*q**2 - q - 12. Let x(f) = -3*o(f) + 5*u(f). Let g be x(-8). Suppose g = 4*z - 0*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -0.02601.\nAnswer: 0.17399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 4, -2.08, -0.4, 4.93 in descending order.\nAnswer: 4.93, 4, 2\/9, -0.4, -2.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -28 (b) -2\/9 (c) -1\/4 (d) -486\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = y + 15, -5*y + 0*v + 3*v = 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 77*x. Let l(w) = -14*w. Let b be (1\/((-7)\/2))\/(182\/(-637)). Let m(a) = 28*a**3 - 5*a**2 + a + 4. Let n be m(b). Calculate n*l(h) + 5*q(h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/9 - ((-25)\/(-9) - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.017 rounded to 1 dp?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 64 - 41*b - 102)*(-128 + 2*b + 128).\nAnswer: -82*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/3, 4, 2, -7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 10:42 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16025 + -7703. Suppose -k = -16*r - 3*r. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-10)*(12 + -17). Let f be 3\/x*(-2 - -2). Solve -3*v - 9 - 6 = f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - 2. Which is the smallest value? (a) 2\/9 (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 17*d - 11. Let y be t(-16). Suppose 61 = y*z + 51. Suppose -3*k + z*r = -3*r - 4, 0 = 5*k + r - 16. Solve -k = -3*j - 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-6))\/((-6)\/(-45)). Let c(s) = -8*s**2 + 5*s - 4. Let m(f) = -13*f**2 + 8*f - 7. Let z(d) = 8*c(d) - 5*m(d). Is z(p) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5) + 918\/(-30). Let i = 27 + u. What is the common denominator of -103\/20 and i\/(-6)*(-1116)\/32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 133209, 266418, 399627, 532836, 666045, 799254?\n\"Answer: 133209*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.05 and -8833.\nAnswer: -8833.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 divided by -28236.\nAnswer: -67\/14118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3*(-4 - 11). Solve x*w = -2*o - 33, -2*w = o - 0*o + 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**6\/660 + q**5\/165 - q**4\/132 - 2*q**3\/33 - 3*q**2\/2 - 12. Let b(l) be the second derivative of h(l). Solve b(g) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4944 and 1202640?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.511147 years?\nAnswer: 0.01511147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 998 + 257. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25200 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 19*u**2 - 16*u + 18. Give x(-18).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623322 = 132*l + 623454 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + q + 12. Let o be ((-2)\/(-10) + (-26)\/130)\/(-2). Give n(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11740 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - l + 13 = 0, -u - 2*l - 4 = -5*u. Suppose u*j = -5*q + 25 - 10, -4*j + 20 = 0. Which is the closest to q? (a) -5 (b) 3 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5)\/b)**(-42)*(b\/b**1)**(4\/7))\/(b**(2\/21)*b\/((b\/(b**(-1\/11)\/b*b))\/b))**35 assuming b is positive.\nAnswer: b**(3902\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = -88 + 133. Let z be -6 - (-1)\/v*(12 + 6). Which is bigger: z or 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 11*l + 23. Let z(t) = -1. Let x(k) = -y(k) + 4*z(k). What is the tens digit of x(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**4*(p\/p**6*p)\/p*p**1\/(p*p**2\/p))\/((p*p**(-1\/4))**(-1\/34))**(-5) assuming p is positive.\nAnswer: p**(-15\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71681230 divided by -35840615.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5329 + -16a3?\nAnswer: 3736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*h - 3. Let i be 6*h*(-1)\/(-3). Solve -d - 18 = 4*b, 2*d - i*b = 4*d + 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/22 + (-228)\/(-132). Solve -2*x + 6 = 0, 4*p + p = -4*x + r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7813*a - 30861. Give u(-4).\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -25. Let n = i - -33. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 28, 32?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9155260 divided by -452?\nAnswer: 20255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 202 (c) -0.08 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29849?\nAnswer: 19, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*f + 13 = 0, -3*y - 4*f + 4 = -1. Suppose y*u - 6 = -0. Suppose -2*l + 2*j + 28 = 0, -u*l + 2*j = l - 39. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(8) - (-1*sqrt(648) - sqrt(648))) + 5*(-2*2*sqrt(5))**2.\nAnswer: sqrt(5)\/19 + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(sqrt(1331) + 5*1*sqrt(1331) + sqrt(1331)))**2.\nAnswer: 326095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4\/5 + 33*b**3\/5 + 253*b**2\/5 - 357*b\/5 - 578\/5 = 0 for b.\nAnswer: -17, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p. Let j(h) = -9*h. Let a(v) = 4*v - 103. Let m be a(26). Let q(k) = m*j(k) - 5*o(k). Let l(r) = 10*r. Give q(l(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -1768.846\nAnswer: 353.7692","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -19*o + 111 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46965 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66260590, -265042359, -596345308, -1060169437, -1656514746, -2385381235, -3246768904?\nAnswer: -4240677753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 23 = -4*x + 3*d, 2*d - 8 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 2*p - 4*p + (0 + 0 - 1)*(-2*p + 2 - 2).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 180*w - 22. Let m(n) = 355*n - 49. Give 9*g(v) - 4*m(v).\nAnswer: 200*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20798 - 20801. Let y be 2\/(1 - (-6)\/(-3)). What is the nearest to m in -1\/4, y, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3170 and 32507716.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23096, 23100, 23106, 23114?\nAnswer: 23124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1123848, 1123834, 1123820, 1123806, 1123792?\n\"Answer: -14*d + 1123862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -48295, -48203, -48111, -48019?\n\"Answer: 92*b - 48387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13117793658.5 + 13124496061.499896. Let n = t - 6702328. Let y = 75 - n. Round y to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26621*b**3 + 316*b + 7242387 wrt b.\nAnswer: -79863*b**2 + 316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6*((-38)\/19 - -3). Sort -0.08, y, -1\/3 in descending order.\nAnswer: y, -0.08, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-137 - -124) + 108 - (11 - 1)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -29\/2 (c) 0.07 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -55*u - 18. Let b be d(-6). Calculate the highest common factor of 39 and b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 - w + w + 0 - 3*w**3 + 0 + (3*w - 3*w + 2*w)*(5*w**2 - 6*w**2 + 3*w**2) - 61*w**2 + 61*w**2 - 14*w**3 + w**3 - 5*w - 2*w + 3*w.\nAnswer: -13*w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 8, 2, 5, 3 in ascending order.\nAnswer: 2, 3, 5, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5807.09157 - 5807. Let h = 0.092 - i. Round h to five decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6750196, -13500396, -20250596?\nAnswer: -27000796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2759 + -1893. Let g(v) = v**2 - 6*v - 15. Let t be g(7). Is (-3)\/(-4) - l\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 11:58 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f. Let q(w) = 2 + 0 + 0. Let u(g) = 18 - 11 - 5 - 2*g**2 + g**2 + 3. Let y(i) = -5*q(i) + 2*u(i). Give o(y(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p + 6 = 0. Let w = -3 - -6. Solve u - 5 = -6*i + p*i, -5*u + 13 = w*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106408861?\nAnswer: 151, 7327211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -15) + -32 + 21. Let g(b) = b - 2. Let z be g(6). Solve a*h + 3*d = 2*d - 4, 3*h - 11 = -z*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 18 times 147.9\nAnswer: 2662.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 188942331*a**3 - 5500*a**2 - 116*a + 26?\nAnswer: 1133653986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 0*l + 2*l + 6, -2*b = l - 11. Let t(g) = 908*g**2 - 13*g + 13. Is t(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*a - 5*b = 607*a + 5 - 28 - 12, 2*a + 5*b - 15 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -187192*x**3 + 514*x**2 - 906934577?\nAnswer: -561576*x**2 + 1028*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10748?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**9\/1512 + d**7\/210 - d**5\/60 + 5*d**3\/6 + d**2. Let p(g) be the first derivative of k(g). Factor p(i).\nAnswer: -2*i*(i - 1)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.176984 millennia in decades?\nAnswer: 17.6984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202673032?\nAnswer: 2, 25334129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -9239*c + 6105*c + 5677*c as k*c + x and give k.\nAnswer: 2543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j**3 - 90*j**2 + 12*j + 14. Give x(-18).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1049, 1049, 965, 755, 377?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(3\/7)*o)\/o)\/o**21)\/((o*o**(-2\/11)*o)\/(o\/o**(1\/2))) assuming o is positive.\nAnswer: o**(-3371\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1472960315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 2*m. Let t be n(1). Let y be (-9)\/3*(-15 + t). List the prime factors of y + (-1)\/1 + 2.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -439949\/21 - -20946. Find the common denominator of 71\/21 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = -c. Let z be 9\/(-24)*c\/(-12). Let 0*b**2 - 1\/4*b**3 + z*b + 0 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m. Let a be 3\/(-15) + (-199)\/5. Let j = a - -18. Let s(w) = -2*w**2. Let b(h) = 7*h**2. Let g(p) = j*s(p) - 6*b(p). What is g(d(c))?\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 108 = -4*m, -3*m - 219*c - 55 = -6*m - 431*c + 216*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 9:34 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0205692597 to 6 decimal places.\nAnswer: -0.020569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {r: 4, o: 7, s: 3}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 994950 divided by 18090.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(143)*2*6)\/(sqrt(55)\/(sqrt(5)*2)).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (105\/77)\/(108\/(-396))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/7)\/(m*(m\/m**21)\/m))\/(m*(m*m\/(m**(1\/34)\/m))\/m)**(13\/2))**(-13) assuming m is positive.\nAnswer: m**(-6045\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 12) to base 7\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147707\/690 - 1659\/46. Let h = -287 - -537. Let s = k + h. What is the common denominator of -10\/9 and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**4\/90 - 2*v**3\/9 + 13*v**2\/5 + 112*v. Factor x(h).\nAnswer: -2*(h - 3)*(h + 13)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 58*c**4 - 4*c**3 + 4 + 57*c**4 - 14*c**2 to k*c + n*c**3 + m + i*c**2 + g*c**4 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-5307)\/4758*260\/(-30)\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -632876 divided by -316438\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -50504, -1 in increasing order.\nAnswer: -50504, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t - 6. What is the least common multiple of 9 and j(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/6 and 554\/(-80) - 1\/5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 - ((47 - 76) + 39).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 18*i - 26. Find x such that 0*x**2 + x**i - 7 + 14 - 6 - 10 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22808266+9211.1\nAnswer: -22799054.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1872)*6 + sqrt(1872))**2 + (sqrt(1872) - (-2 + -2*sqrt(1872)))**2.\nAnswer: 144*sqrt(13) + 333220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 106?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-16 + (123 - 78))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-273)\/6)\/(3\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1869.4 + -2138. Let a = 269 + b. What is the nearest to 1 in a, 56, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -117 or -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*b**3 + 8*b**3 + 4 + b**3 - 20 - 33*b**3.\nAnswer: -2*b**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**5\/48 - 5*d**4\/32 + 5*d**3\/12 - 14*d**2. Let p(u) = 0. What is u?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8162298?\nAnswer: 2, 3, 453461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.072, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -44\/213, -90, 1\/5, 0?\nAnswer: -44\/213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -567.07 + 567. What is the fourth smallest value in -2, 2\/17, f, -17\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5370 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -z + o + 24, 3*o = 4*z - 59. Let f(n) be the first derivative of -n**3\/3 + 7*n**2 + 4*n - 36. Let r be f(z). Solve 0 = k - 0*k - r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2870 is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 102308 (base 12) in base 4?\nAnswer: 331230320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2957385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 36\/42 + (-6324)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -6166.\nAnswer: 1\/6166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*k = -89*k - 53895. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -274?\nAnswer: 26f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - 0.2. Let u = -20455 + 20448. Which is the third biggest value? (a) w (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39342542?\nAnswer: 2, 431, 45641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.1 - 1.1. Let o = -6 + g. Let s = -0.073 + 4.073. Which is the third smallest value? (a) -3 (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c + 38. Let b(j) = 5*j + 38. Calculate 2*b(u) - 3*g(u).\nAnswer: u - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36745520.\nAnswer: 2, 5, 7, 65617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**6\/120 - 8*x**5\/15 + 23*x**4\/12 - 61*x**3\/6 - 6*x**2 + 7*x. What is the hundreds digit of n(-34)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4936428, 9872854, 14809276, 19745694, 24682108?\nAnswer: 29618518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**4 + 5*b**3 - 110*b**2 + 220*b - 120 = 0. What is b?\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13889 and 979583?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -57. Let w be (6\/4)\/((-9)\/l). Suppose 10*u = w*u + 205. Calculate the remainder when u is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -6*h - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 7*c - 52 = 0. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(5\/3))\/g*g**0)\/(g**(-1\/2))**11)\/(((g**(-1)*g)\/g)**(4\/27))**(2\/3) assuming g is positive.\nAnswer: g**(637\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/630904 and -101\/92780.\nAnswer: 3154520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96201 - 52244. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnt when three letters picked without replacement from {n: 4, t: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubnu when four letters picked without replacement from {q: 11, e: 2, b: 1, u: 2, n: 1, g: 2}.\nAnswer: 1\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from hklhhrnhlnvnhhl.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5*f = -10, 2*s - 4*f = -0*f + 22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17028 = -309*s + 298*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcjx when four letters picked without replacement from xqxxppxpxxjcppaj.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -961*t - 253 + 513 - 260.\nAnswer: -961*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1787, 33, -1, 3, 3\/2, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 725998806 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0377682132 to 5 dps.\nAnswer: 0.03777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9 + 15*k**3 - 17*k**2 + 8*k**2 - 3*k**4 - 15*k + 3.\nAnswer: -3*(k - 4)*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -365049412 + -0.2\nAnswer: -365049412.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(18) + -1)*4 - (-3*(sqrt(72) + 0)**2 + sqrt(72) - (sqrt(72) + (sqrt(72)*-2*6)**2)).\nAnswer: 12*sqrt(2) + 10576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 399 = 3*q, -4*q + q = -2*u + 374. Suppose 27*p = -4054 + 571. Is q greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 607477736*y**4 - 116241492*y.\nAnswer: 7289732832*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - i)*(-i + 3*i - 4*i) + (2*i + 3 - 3)*(-1 + 2*i + 1) + i**2 - 12 + 12 - 3*i**2 + 2*i**2 + 0*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 325557.4 meters?\nAnswer: 325.5574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a millennium in years?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1119 + 0.109495. What is m rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3*v - 6 = 0, 3*v + v + 28 = -5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + -23. Let a be 66\/(14\/(-4) - -5). Suppose -16*d - 620 = -a. Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**4\/24 + n**3\/2 - 51663*n**2. Suppose 4*o + 4 = -2*j, 4*j + o + 1 = j. Calculate b(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2525 (base 8) in base 2?\nAnswer: -10101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -14, -2 in increasing order.\nAnswer: -14, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 581, 1261, 2095, 3089, 4249, 5581, 7091?\n\"Answer: f**3 + 71*f**2 + 460*f + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b56da + 2?\nAnswer: -b56d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 7321.9 to the nearest one hundred.\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 24 = 12*q. Factor 8\/5*c + 8\/5 - 6\/5*c**q.\nAnswer: -2*(c - 2)*(3*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*z - 40, 0*z = f + 5*z + 5. Let q = f + 21. Let y = -3268\/3 - -1080. Are y and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i - 80 - 5*i + 79 + i**2 + 0*i. Determine l(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s**2 - 2*s - 5. Is v(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11440156 divided by -91?\nAnswer: 125716","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*k - 40*k - 3 + 3.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Let t be (-11 - -9)*q\/(-4). Solve -6 = -5*a - t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*r**2)*(-4 + 4 + 12) + (8 - 8 - 4*r)*(0*r - 2*r + r) - 87 + 29*r**2 + 87.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 2*y. Suppose 0 = 90*v - 97*v + 140. Suppose v*z + 18*z + 152 = 0. Give i(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) -34\/13 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - v**2 - 3*v. Let o(x) = -71*x**3 - 6*x**2 - 21*x + 2. Calculate -6*h(j) + o(j).\nAnswer: -77*j**3 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*c, 4*v - 15 = -0*c + 3*c. Suppose 2 = -b - 1. Sort b, v, 1.\nAnswer: b, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13877 greater than or equal to 13882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by -11\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, f: 5}. Give prob of picking 1 f and 1 p.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -263.2 smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 12200233?\nAnswer: -12200231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrnrnnnppnwnpnnnnnwn. Give prob of picking 1 n and 1 r.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 20*b - 19*b + 226, 4*j = 5*b + 440. What is the remainder when 687 is divided by j?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -531.4 - -532. What is the closest to 0 in m, 2, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 505 = -2*h, 2*z + 2*z = 2*h + 386. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2156494 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57236.88 millennia to months.\nAnswer: 686842560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -52.\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-51)\/8670*205\/(-3). Let r = o - 7\/102. Let c = -0.1 + 0. Sort r, 11, c in decreasing order.\nAnswer: 11, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7086 + 1474 = 244*r for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 i, and 1 p when four letters picked without replacement from pprarpjjifai.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2. Let k(w) be the first derivative of -5*w**2\/2 - 2*w - 66. Give t(k(s)).\nAnswer: -50*s**2 - 40*s - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, j: 13}. What is prob of picking 1 f and 3 j?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -126206321 - 65.\nAnswer: -126206386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 2*q - 18. Let l = q + -97. Which is the nearest to -1? (a) 5 (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**6\/60 - 4*w**5\/3 - w**2 - 98*w. Let b(u) = 0. Calculate u.\nAnswer: 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1258 - l**2 + 1256 + 2*l**3 - 3*l**3 + 26*l + 41*l to x*l**2 + j*l**3 + y + u*l and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/15 - 948*v**2\/5 + 341704*v\/5 - 1993744\/3.\nAnswer: 2*(v - 706)**2*(v - 10)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*l**2 - 2*l**3 - 2*l**3 - 4*l**2 wrt l?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8342663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21033 + -303230031?\nAnswer: -303202332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3218241 times 287\nAnswer: 923635167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 23. What is the closest to -2\/3 in 1, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129764\/5 + 25953. Let c(z) = -2*z + 5. Let g be c(4). Let l(o) = 2*o + 2. Let x be l(g). Sort 3\/7, u, x in increasing order.\nAnswer: x, u, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -5 - (113 - 106) - (-2 - (6 + 14))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**24\/((c\/(c\/(c*c*c\/c**(-16)*c)))\/c)*(c**(-2\/41))**(-19) assuming c is positive.\nAnswer: c**(243\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 835054521 to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 43*f**2 + f. Let v(t) = 5*t**3 - 174*t**2 + 5*t. Calculate 9*m(b) - 2*v(b).\nAnswer: -b**3 - 39*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -4795256.44 to the nearest one hundred thousand.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2111053 (base 6) to base 15\nAnswer: -20623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70281 and 47054979?\nAnswer: 3699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -113?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -24. Let h be 3\/2*12\/z. Suppose 4 = 4*x, -3*x + 17 = 4*f + 2*x. Solve f*a - 6*a = -2*v + 19, -a - h*v = 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**3 - 3*t**2 + 3*t - 2. Let y be 1\/(-4) - 45\/(-20). What is x(y)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + s - 2*s + 5827, 3*d + s - 8742 = 0. Suppose -8153 = -9*y - d. What are the prime factors of y?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 at least 172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 74\/(-26) + 8\/(-52). Let h be 0\/(-6*m\/6). Let i be (2 - h)\/(2 - 0). Are i and 1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3 - 7. Calculate the lowest common multiple of 33 and (-6)\/((-4 - u)*1\/6).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0023308 rounded to four dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/35 - (-180344)\/(-14). Let o = -9079 - u. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-15)\/18) - 6. What is the closest to h in -0.3, -27\/4, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2 + 3*q. Let f(a) = 9*a**2 + 7*a. Let s be 1 + 17 + (0 - 4). Let p(k) = s*d(k) - 6*f(k). Let v(c) = -15*c**2. What is p(v(h))?\nAnswer: 450*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.1 and -1.8692.\nAnswer: 31.96332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -210529, -421055, -631581, -842107?\n\"Answer: -210526*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2 - b - 2*b**2 - 2 + 6*b in the form u + o*b + c*b**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-2 - (-352)\/(-324)). Let q = w + 143\/405. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*q + 2*r, 2*q + 4*r + 0*r - 16 = 0. Factor -m - 3\/2*m**3 + 0 + 1\/2*m**5 + 1\/2*m**q - 5\/2*m**2.\nAnswer: m*(m - 2)*(m + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -877527\/50 smaller than -17550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*l - 11 = 5*i, -5*l = -i + 17. Let u be (0 + -1)*(i + 0). Solve r - u*r = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41021760*o**2 - 29217190*o?\nAnswer: 82043520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1)\/4*-1844 - (-16)\/2 and 670.\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2489554 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1 - -2) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 623053000?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.99 + 0.01. Let g = f + -2. Suppose 3*x - 14 + 2 = 0. What is the third smallest value in g, 0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4702294937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 2)\/(-1) - (-2 + 2). Let i(p) = -3*p. Let a(b) = -b. Let c(l) = 8*a(l) - 3*i(l). Let h(m) = -7*m. Give o*h(y) - 6*c(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 128561*a + 1285514. What is u(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/5260136 and -149\/1974560.\nAnswer: 4523716960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 12*p**2 - 1. Let r be y(-12). Is (r + 480)*(-4 + 5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**2. Let l(t) = -31*t**2. Let b(g) = 11*f(g) + 2*l(g). Let k(i) = i**2 - 1 + 0 + 1. Determine b(k(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 31 + 34 - 1.\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**4\/16 + 3*n**3\/2 + 27*n**2\/2 - 14*n - 14. Let q(h) be the first derivative of p(h). Solve q(o) = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2424 (base 14) to base 5.\nAnswer: -200204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6) - (-10)\/18. Let h be (-2 - -2 - -1) + -5. Let o = 6429 + -19288\/3. What is the fourth smallest value in v, h, o, -2\/19?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*z = -23. Suppose -z*m + 20 = -19*m. Solve -3*n = b - 13, m*b - 2*n = 2*n - 30 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*c = 12512, 0*n - 5*n = 5*c - 12510. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-15)\/o**(-1\/7))\/((o\/(o\/o**(1\/15)))\/(o*o**8)))**(-2) assuming o is positive.\nAnswer: o**(1244\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(10\/7)*d*d)**43*(d*d**(-2\/17))**(-9\/2) assuming d is positive.\nAnswer: d**(34143\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i - 4. Calculate the remainder when 37 is divided by (-19)\/(i\/2*-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 333, -2\/3, 40 in descending order.\nAnswer: 333, 40, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 730\/(-70) + (26 - 16).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000114775956 rounded to seven dps?\nAnswer: 0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 + -2.02. Let i = -601\/7 - -85. Which is the third smallest value? (a) g (b) 0.1 (c) 0 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v**(-1)*v))*v**(3\/2))\/(v*v\/(v*v*v**(-7)\/v*v)*v*v**8) assuming v is positive.\nAnswer: v**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -20 (c) 1\/33 (d) 0.01 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/2)\/(81\/12906).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-2\/29)*v*v))\/v**(8\/13))\/(v*v**(2\/13)\/v)**26 assuming v is positive.\nAnswer: v**(-2468\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -2\/3, 0.5, 4, -0.5, -3\/4, 2755\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-350)\/(-45) - 8) + 29\/9. Solve -h*o - 2 = 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 18*v - 4367. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b + 12. Let l(n) = n - 5. Let w(y) = -5*h(y) - 12*l(y). Let o(z) = -24*z**2 - 1. Calculate o(w(p)).\nAnswer: -96*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/66 + (9 - 1212\/770) + -8.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -3 - (1 + 0). Let s = 10 + -10. Suppose s*j - 2*j + 6 = 0. Put h, j, -2 in increasing order.\nAnswer: -2, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alaaeaeeeaalsaalpas. What is prob of sequence pl?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -125*b**3 + 3*b**2. Let o(x) = 1000*x**3 - 25*x**2. Determine 25*f(y) + 3*o(y).\nAnswer: -125*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1575 + -1575.0142. Which is greater: s or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*o - 4402 = 10*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 7, 0, -1, -9, -4 in ascending order.\nAnswer: -9, -4, -1, 0, 3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1182334244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 138571060447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1)\/f)\/(f\/(f**(-3\/4)*f)))\/(f**(1\/2)\/f*f\/(f\/(f**(-1)*f))) assuming f is positive.\nAnswer: f**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-186)\/12 - (-3)\/2. Let h be ((-6)\/7)\/(8\/y). Let d = -104 + 105. Which is smaller: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m**3 + m**2 - 15*m + 13. Give v(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4.6 (b) 76 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 71238*u - 54. Determine p(0).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t - 2*w = -13*t - 10, -5*w + 25 = -5*t. Solve t = 10*z - 2*z - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -4, -2 in increasing order.\nAnswer: -4, -2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1185354885*q**3 + 232*q - 902815?\nAnswer: 7112129310*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-120))\/((((-294)\/(-216))\/49)\/(-1*4)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (49 - 61)\/(-3 + 1). Let y(x) = 120*x - 2. What are the prime factors of y(g)?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + n + 11 = 0, 13 = 4*f + 2*n - 1. Let m(c) = -3*c + 4*c**2 - 2*c**3 + 0*c**2 + c**3. Let p be m(f). Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 u when four letters picked without replacement from upuupupu.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -116\/65 + 18\/13. Let j = 11.9 - 11. Let o = j - 1. Sort -4, o, u in decreasing order.\nAnswer: o, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188 and 21347036.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 10*k**6\/3 + 23*k**5 + 105*k**4\/2 + 140*k**3\/3 + 5*k**2 - 15*k + 42. Factor z(w).\nAnswer: 5*(w + 1)**3*(w + 3)*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-431)\/(-5)*2 + (-118)\/295. Do 0 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4, -235, 72, 3 in descending order.\nAnswer: 72, 3, -4, -11, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1122 and 1309.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7692.79985 - 7693. Let x = -0.2 - n. What is x rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 31, 30, 27, 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**3\/3 - 4*d**2 - d + 1. Let f be l(-7). Suppose 0 = 3*v - 4*v + f. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 623*o + 25556. Calculate w(-41).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - i)*(0*i + 4*i - 2*i) - 2*i**2 - i + i - 445 - 50*i + 222 + 225 - 2*i**2.\nAnswer: -6*i**2 - 50*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/(-15))\/(4\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**3 - 79*t**2 - 96 wrt t?\nAnswer: 3*t**2 - 158*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2 + sqrt(13))*-5)**2.\nAnswer: -200*sqrt(13) + 850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 5*t + 8. Let h be l(5). Suppose 2 = -2*m + 2*a, h*m - 3*m - 3*a - 1 = 0. Solve -2*o + o + m = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.24 + -10.34. Let y = -10 - g. Which is the third biggest value? (a) y (b) 0.4 (c) 0 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*u = 9. Let j be (u - 0)\/3 - -6. Solve -y + 2 = l, -4*l - y = 2*y - j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o - 2. Let y(v) = v**2 - 3*v - 3. Let h(f) = 3*s(f) - 2*y(f). Let n(i) = -2*i. What is h(n(c))?\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17834*0.4\nAnswer: -7133.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 19*m**2 - 17*m + 11. Let s be w(-18). Let d(x) = x**3 + 7*x**2 + 2. Let v be d(s). Let f = v - -18. Solve -2*r = 3*r - f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11898215 = -116*x - 1849483. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 175?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 2*q**3 - 9123. Let n(b) = -1211*b**2 + 2. What is j(n(r))?\nAnswer: 8799126*r**4 - 29064*r**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23644941713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.76123 * -2\nAnswer: -1.52246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 563268172 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*k = 30, 5*k - 3 + 13 = q. Let t(p) = -p**2 + 12*p + 10. List the prime factors of t(q).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.24 - 0.2. Let s = 0.1 - q. Let o(g) = 62*g + 62. Let h be o(-1). Which is smaller: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/9 and 38\/689935327?\nAnswer: 6209417943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 12:17 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9754.4 - -2.\nAnswer: -9752.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by -208533\nAnswer: 40\/208533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 119, 116, 0.46?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**5 + 16*s**4 - 16*s**4 + (-5*s**2 + 0*s**2 + 3*s**2)*(-2*s**3 - 4*s**2 + 4*s**2) + 0*s**5 - s**5 - s**5 - 84*s**2 - 50*s**5 + 84*s**2.\nAnswer: -44*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -20*x - 17. What is the remainder when 77 is divided by y(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 6:24 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 6*x - 10. Let f(o) = -3*o**2 + 13*o + 21. Suppose -14*i - 75 = i. Let g(d) = i*h(d) - 2*f(d). Factor g(v).\nAnswer: -4*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-550)\/(-330) - ((-4)\/(-4) - -1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2800 divide 12191200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91454 is divided by 30297?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1846377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/7)\/((-84)\/294)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6318291, 12636588, 18954885?\nAnswer: 25273182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2338 - 2314. Let r be 20\/50 + (-146)\/(-10). What is the greatest common factor of f and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 350 - 70. Let n = y + -81. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*g + 6*g - g)*(0*g**2 + 2*g**2 + 0*g**2) to z*g**3 + c*g + x*g**2 + s and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7027 is divided by 867.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (87\/58 - 2\/1)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30798233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2872 + 804. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2742, -5315, -7868, -10395, -12890, -15347, -17760?\n\"Answer: h**3 + 4*h**2 - 2592*h - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 29*a = 85350. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 116856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 10:52 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2 + 41610788*a + 41610789 = 0 for a.\nAnswer: -1, 41610789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**2 + y**2 - 5*y**2 + (-5*y**2 + y**2 + 3*y**2)*(-6 + 1 + 4) - 3*y**2 + 2*y**2 + 3*y**2 - 168*y**2 - 46*y**2 + 13*y**2.\nAnswer: -197*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 4. Let h(c) be the second derivative of -c + 0*c**4 + 0*c**b + 1\/3*c**3 + 1\/15*c**6 + 0*c**5 + 0. Find the second derivative of h(s) wrt s.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001873 rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -7. Suppose -30 = -x*d + 14. What is the third derivative of -d*t**3 + 11*t**3 + 2*t**2 + t**6 wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 10:21 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**3*j**3 + 15*f**3*j**2 - 3*f**3*r + 8*f**2*j**3 + 7*f**2*j**2*r - 2*f*j**3*r + 6*f*j*r wrt f.\nAnswer: 12*j**3 + 90*j**2 - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36654588?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -13065*r**2 + 8*r - 32. Let z(k) = -2179*k**2 + k - 5. Give -2*l(f) + 13*z(f).\nAnswer: -2197*f**2 - 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 21.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4198 a factor of 50710614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 1470?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l - 1. Let q be g(-3). Let s = 35 + q. Calculate the highest common factor of s and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466262 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 39, 84, 157, 264?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*s**3 - 61*s - 5437 with respect to s.\nAnswer: -15*s**2 - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*c**5 + 208*c**5 + 362*c**5)*(-1 + 1 + 1) + 2*c**4 - 2*c**4 + c**5.\nAnswer: 507*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2395446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/2 + 3\/(-6). Suppose -k*r = -13 + 10. List the prime factors of r - -33*(-4 + 6).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 4 = 4*z, 967*g - 966*g - 416 = -103*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 14.42724 micrometers?\nAnswer: 0.00001442724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6546623 is divided by 189?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/42 + 0 - 10\/(-35)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -38, -10\/13, -0.009?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 453222176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 5143\nAnswer: 1\/5143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -175 in -3, -0.2, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 436.6246 nanograms?\nAnswer: 0.4366246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6637080 and 1214100.\nAnswer: 99556200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1896027 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2. Let s(i) = -i**3 + 4*i**2 - i + 112. Let q(j) = -4*o(j) + s(j). Let w be q(0). What is the highest common divisor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 21*w - 54. Let b be a(-18). Suppose 17*c - 19*c = b. Solve c = -2*x - 3*x - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, m: 13, q: 2, b: 1}. Give prob of picking 1 b and 2 m.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2236445.288 to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*c - 119*c + 108*c.\nAnswer: 29*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Suppose o*u = -2*u. Suppose -3*m + a + 8 = u, -7 + 3 = 3*m - 4*a. Solve m*n - 12 = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*6\/63*70\/60?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(-1 + 1 - b**2).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 1064?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 345*b**3 - b**2 + 1. Let a(r) = 345*r**3 - r**2 + 1. Let c(q) = 5*a(q) - 4*m(q). List the prime factors of c(1).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 0*c**3 - c**3)*(0 + 2 - 1).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137446667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191436215 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqr when three letters picked without replacement from rqqqqqrrqrqr.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5b4 - 2?\nAnswer: -5b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u**5\/5 - 34*u**4\/5 + 84*u**3\/5 + 396*u**2\/5 - 118*u + 30 = 0. What is u?\nAnswer: -5, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-40)*1*-4. Let f be -2 + (-3)\/(-12)*4 + -1. Which is the closest to s? (a) f (b) 2\/15 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2068 and 99264?\nAnswer: 99264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 861578165?\nAnswer: 5, 7, 24616519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4\/5, -2\/7, -4754, -3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 1264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 3*q - 1. Let f(c) = -6*c**3 - 21*c**2 - 99*c + 531. Let n(j) = f(j) - 9*o(j). Factor n(p).\nAnswer: 3*(p - 6)**2*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c + v + 9136 = 30*c, -2*c + 5*v = -3636. List the prime factors of c.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -72\/268265?\nAnswer: -72\/268265","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + 14. Suppose 3*x + 5*p = j, 2*x - 4*p + 20 = -x. Let v be (-6)\/9*60\/(-2). Solve x*d - v = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 57478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 203368\/(-240) + 2\/(-15). Let g = 6807\/8 + v. What is the common denominator of 13\/5 - (-1 - 0) and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 24*i - 8 + 32*i - 135*i + 84*i + 9*i**2 - 4*i**3 to the form j + x*i**2 + h*i**3 + a*i and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g + 30. Give c(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-290)\/(((-1095)\/75 - -15) + (-12)\/5). Solve g = 121*k - 150*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/387 and -103\/91762?\nAnswer: 825858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 257 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -10*b - 501. Let q(s) = 2*s + 49. Calculate q(i(c)).\nAnswer: -20*c - 953","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4394 * 2.025.\nAnswer: -8897.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/4770 and -28\/454369.\nAnswer: 40893210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide -5*(-4 + 3)*6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/195)\/(1\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-2)\/(-1) - -1. Let k = -2 - p. Let b(t) = 43 + 5*t - 88 + 47 + t**2. Give b(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -11*l + 6*l. Let v = -550 - -552. Factor -12 + 0*q + 32*q - 7*q**v + 4*q**4 + 2*q**2 - 19*q**l.\nAnswer: 4*(q - 1)**3*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 0.019374.\nAnswer: -18.019374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53369441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 34*i**2 + 204*i + 17. Determine j(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((4 - 6) + 13)*(6 - 5). Solve -b = 3*s + 8*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 10240010?\nAnswer: -10240022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-2 - (-4 + 0)) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 12:31 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 108445 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (7 - (1 + 0 + 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 5:34 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 - 5623*d + 2476*d + 1428*d to the form u*d**2 + l + q*d and give q.\nAnswer: -1719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (50 + 14 - 40)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59770801, 119541600, 179312399?\nAnswer: 239083198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (31\/(-2))\/(14\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v - 7. Let p be x(-5). Suppose -6 = -o - p. What is the units digit of -1 + 6*o\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a6222 (base 15) to base 8\nAnswer: 12546563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7266480 rounded to the nearest one hundred thousand?\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-18)*x*x**(1\/2))\/((x*x**(25\/3)\/x)\/((x**(-31\/2)*x*x*x)\/x)) assuming x is positive.\nAnswer: x**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90716, 92067, 93418?\nAnswer: 94769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2190303266 to the power of 1\/3, to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - -18 - (-9 + 8). Suppose g + 10 = 5*x. What is the smallest common multiple of 1 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 72.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67927252 times -17?\nAnswer: -1154763284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/43967745 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 10:37 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -32.4 and -0.0236.\nAnswer: -32.4236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3\/5 - 33792*i**2\/5 - 95124471*i\/5 + 190384134\/5 = 0.\nAnswer: -5633, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**5\/20 + 11*s**4\/12 - 13*s**3\/6 - 7*s**2 + 513*s. Determine t(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932972 (base 10) in base 6?\nAnswer: 105232540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 14 + 11 = -u, 2*u = -c - 1. Suppose 5*p + 2*z - z - 10799 = u, 0 = 4*z - 16. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*o + 58 = 0. Let h(d) = -d + 22. Let k be h(10). Let g = 42 - k. Are g and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from seessyseese. What is prob of picking 1 s and 2 e?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 - b - 3*b**4 - 2*b + 4*b**4 - 2*b**2 + b**4 as g*b**4 + x*b**2 + r*b**3 + u*b + f and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + 3*j**3 + 3*j**3 + (2*j**2 - 2*j**2 - 3*j**2)*(2*j - 4*j + 4*j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -72, 443.\nAnswer: -72, -3, 443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43613*i**3 + 9*i**2 + 931?\nAnswer: 261678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 27*u - 43*u. Solve 3 = -m + u*c, 5 = 12*m - 9*m + 2*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 52*j**4 - 5*j**2 + 55*j**4 - 2*j**3 - 2*j**2 in the form m*j + c*j**3 + o*j**2 + y*j**4 + f and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1042926 divided by -6?\nAnswer: 173821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4785566139 to the power of 1\/3, to the nearest integer?\nAnswer: 1685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52761588 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -179.756596 and -0.218.\nAnswer: -179.974596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 8:35 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j**3 - j**2 + j. Let t(x) = -49*x**3 + 7*x**2 - 6*x - 137. Determine -6*b(w) - t(w).\nAnswer: w**3 - w**2 + 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42462433*x**5 - 35492912*x**2 wrt x.\nAnswer: 2547745980*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -193.915284471 less than 1.7?\nAnswer: 195.615284471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 23 = -2*j, 5*j - 3*r - 59 = j. Suppose 16*i - 12 = j*i. Solve 0 = i*y - 0*y + 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -44. Let v be 16*6 + 4\/c. Let p = -93 + v. Solve -i - 10 = p*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u - 5*s - 9, -u - 4*s = 2. Find the third derivative of 91*z**6 - 17*z**u + 4*z**2 - 79*z**6 - 7*z**2 wrt z.\nAnswer: 1440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*c - 940 = 0, -3*c - 495 + 1670 = 5*g. Let k = g - 2583\/11. Suppose 2*r + 0*r = 2. Put k, 2\/13, r in decreasing order.\nAnswer: r, k, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 + 4.3. Let i = 48.2 - b. Let r = i - 45.2. Which is greater: r or -16?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435223955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Is p smaller than 1\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-32)\/14)*2\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-27) - 104\/(-36). Suppose w + 6 = v + p*w, 3*v - 4 = w. Suppose -v*t + 0*t + 2*d + 92 = 0, -t - 5*d = -64. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2204 (base 7) to base 4\nAnswer: 30110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-16)*(16\/3)\/(35 - (-2 + 38)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*1\/(-8)*-4. Let t(x) be the second derivative of -3\/2*x**2 + 13\/6*x**y + 0 + x. Let b(d) = 4*d - 1. Give -7*b(i) + 2*t(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**2\/5 - 9411*y\/5 + 18818\/5 = 0.\nAnswer: 2, 9409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1950003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 46925 - 46886 = -3*w, 2*a = 6*w + 70 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(2 - 2 - 2*b) + 2 + 4 - 5 - 3*b.\nAnswer: -5*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 14889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 9*x**5\/5 + 3*x**4\/2 - 11*x**3\/3 - 2*x**2 + 4*x - 2. Let l(m) = 0. What is m?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (16 - 5)) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 11:12 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100001100 - 1101000?\nAnswer: 100010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/2106 and 10\/3?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1071 - -767. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 + (106 - 41) + (3 - (3 + -12))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 11) + 107 + -105?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-168)*3*1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c**3 - c**3 + 5*c**3.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1259*y**2 - 2306 wrt y?\nAnswer: 2518*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -2*l**2 + 163*l - 70. Calculate the remainder when c(25) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 13*i = 192. Suppose -13*x = -7 - i. Solve -f + x*f = 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5099600?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -493174 by -3.\nAnswer: 493174\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**4 - 977*j**3 - 22913*j**2 + 188173392*j.\nAnswer: 48*j**2 - 5862*j - 45826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(136)*-1*6)\/(2*sqrt(24)\/sqrt(3) + sqrt(8))*4.\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.748812 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -201376 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -168*m + 167*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1211291 and 2319.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2346365, -2346379, -2346397, -2346419, -2346445, -2346475?\nAnswer: -2346509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*g - 16*g**2 + 2*g + 42*g + 7*g.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3.4. What is the third smallest value in s, 4, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -11211?\nAnswer: -11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 3, u: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -30489 divided by 10\nAnswer: -30489\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from {u: 2, e: 2, l: 1, f: 1, n: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -14472, -540, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*o = 2*o + 75, -4*o - 153 = 5*y. What is the common denominator of -9\/20 and (-8 - -6) + y\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 3:53 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 0)\/(15\/45). What is r in 53*r**4 + 519*r**3 + 294 + 9*r**5 - 185*r**4 - p*r**3 - 162*r**2 - 525*r = 0?\nAnswer: -1, 2\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-9)*594\/132. What is the nearest to 0.2 in t, -0.6, 3, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6*f**2 - 1. Let y(i) = -59*i**2 + 6*i - 23. Let s(l) = -10*k(l) + y(l). Determine s(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -117.2011969 to the nearest integer.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -13*b**3\/3 - 1. Let v(i) = 2*i - 8*i + 8*i - i. What is c(v(w))?\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -201 and -1.2.\nAnswer: -202.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-9)*(7\/(-168))\/((-26)\/(-104)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -24*j - 1. Let m be w(-4). Suppose 0 = -s - 26 + m. Let g = s - 29. What is the greatest common factor of 16 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/7)\/i*i\/(i*i**(-1)*i))\/(i*i*i**(-1))**(-22) assuming i is positive.\nAnswer: i**(156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 23 + 28 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -93?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9581976.\nAnswer: 2, 3, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -9. Let u be ((-12)\/9)\/v - 1. Let w be 2*33\/(-24) + 3. Which is the biggest value? (a) w (b) 1\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777698 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 10:18 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6749?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 16 = -6*g. Suppose -3*t + g*t - 2 = 0. Suppose -i + s - 3*s - 10 = 0, -5*s - 24 = t*i. Let y(m) = -m**2 - 3*m + 1. Give y(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21066, 168571, 568942, 1348611, 2634010?\nAnswer: 4551571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g**(5\/4))))\/g*g**(4\/5))**(-42) assuming g is positive.\nAnswer: g**(-861\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhri when four letters picked without replacement from immmmqhmgiqrrgiirm?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**2 + 3\/7*s**3 - 36\/7 + 48\/7*s = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z**(-2\/9))\/z**(17\/4))\/(z*z**15*z*z\/z**(7\/4)) assuming z is positive.\nAnswer: z**(-319\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8798 + -8797. Let w(z) = 5*z**3 - z**2 + 1. Let l(v) = -v**3. What is g*w(p) + 3*l(p)?\nAnswer: 2*p**3 - p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.5 and 9869.\nAnswer: 9873.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 11:57 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 - -92. Let h = i + 7. Let b be 21 + 1 + (-7 - h). Solve 3*k + k - 16 = -y, -5*k = 2*y - b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-21)\/7 - ((-25)\/175 - (-126964)\/(-14))?\nAnswer: 2, 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2571 (base 8) to base 11\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91997692271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 6*c + 6. Let p be k(3). Sort -5, p, -1, 90.\nAnswer: -5, p, -1, 90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191344, -383235, -575126?\nAnswer: -767017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1741 + -1236. Is 28 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135372000 rounded to the nearest one million?\nAnswer: -135000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t + 4*h + 18, 5*t + h = 100. Calculate the greatest common factor of 475 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5299233 * -0.4\nAnswer: -2119693.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -842 + 843 + 0*v - 3*v.\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 317.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 918390 and 31944?\nAnswer: 3673560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7075 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by 362488.\nAnswer: 13\/181244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980308500.\nAnswer: 2, 3, 5, 653539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + 4*s**3 + 2*s**4)*(3*s - 4*s + 2*s - 1) - 25*s**5 - 56*s**5 + 36*s**5 + 3*s**4.\nAnswer: -43*s**5 + s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(448)))**2 - -4*(sqrt(448) + -2) - (sqrt(448) + (sqrt(448) - (sqrt(448) + 0)) + -5 - (1*-2*sqrt(448) - sqrt(448)))**2.\nAnswer: -800*sqrt(7) + 9071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122 - -120. Let q(i) = i**3 - i**2 - 3*i - 1. Give q(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*u + 16, b + 5*u = 3*b + 20. Let y = 5 - 6. Let a be y - -1 - (-1 - b). Calculate the highest common divisor of 4 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 143 = -4*b, -471 = -5*x + 3*b + 152. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*4*109\/1744.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.174 and 196?\nAnswer: 34.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -15*u - 23. Determine w(-8).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(-5 + (380960\/(-12))\/(-10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 0 + 0)*((s - s - s**2)*(-2*s + 2 - 2) - s**3 - 3*s**3 + 6*s**3).\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, z: 6, q: 4}. What is prob of picking 1 p and 2 q?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 289 - 206. Let m = 1646 + p. Suppose 3*f = -4*x + m, 3*f + 2 = 11. What is x rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522157 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 59, 147, 281, 467, 711, 1019, 1397?\nAnswer: 1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + h + 1. Let v(s) = -s**2 - 6*s - 2. Let m be v(-6). Let z be l(m). What is the remainder when 29 is divided by 7 + -2*z\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*c + 3*u - 626, 5*c - 1010 = 5*u. Let l = c - -33. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n + 5*n + 4*n)*(-2 - 1 + 5).\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.8, -3\/46, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 12*v + 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or -8320.23?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 26)*(10*t**3 - 4*t**3 - 2*t**3).\nAnswer: 104*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 25546 - 328569\nAnswer: -303023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g, -32 = -7266*c + 7265*c - 11*g for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 79 (c) -550\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 14 = -2*b, -164*b - 2*g = -167*b - 20 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 + 61. Let d be k - ((-6)\/(-4))\/(9\/(-1860)). Suppose 3*s + d = 771. What are the prime factors of s?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2760*r**4 - r**3 + 274*r**2 - 4*r + 886957?\nAnswer: 33120*r**2 - 6*r + 548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19944\/(-504) + (-1287)\/(-33).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 13627521 to the power of 1\/2, to the nearest integer?\nAnswer: 3692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 4 - 8 - 2)*(-x**3 - 2*x**3 + 5*x**3 + (-3*x**2 + 4*x**2 + 0*x**2)*(5*x - 3*x - x)) as q*x**4 + f*x**3 + a + d*x + m*x**2 and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5115.0561 days to weeks.\nAnswer: 730.7223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4217*l**2 + 11*l - 5. Let o(p) = 4215*p**2 - 9*p + 4. Give -5*o(c) - 4*y(c).\nAnswer: -4207*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -6*t + 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12386.66 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 1248 and 39979\/32 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 4:50 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 642378766 to the power of 1\/3, to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b = -25. Let n be 2\/7 - 228\/(-84). Suppose -3*i - n*t = -24300015, 0 = t - 0 - b. What is i rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -3, -305, -0.47, -3\/4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*l - 2*l + 3*c, 2*l + 8 = 3*c. What is the second derivative of -5*g**l - 12*g**4 + 17*g - 9*g + 5*g**2 wrt g?\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027962 to six dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -1947?\nAnswer: 1952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**3 + 3*g**2 - 90*g = 0.\nAnswer: -6, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 240\/(-40)*(-1)\/(-4)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1060402 to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68840*z + 68581*z = -12432 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70992\/(-29580))\/(-3*3\/150)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18b (base 14) to base 4.\nAnswer: 10333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - z + 26, 3*z - 10 = -a - 2. Calculate the highest common factor of a and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323 = 3*v + 2*g, 8*v = 3*g + 229 + 599. Suppose -t + 10 = 1. Calculate the remainder when v is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 580 - 580.14. What is the third biggest value in 0.1, -0.02, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**4\/8 - 7*x**3 + 441*x**2\/4 - 177. Factor u(h).\nAnswer: h*(h - 21)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0 (c) 3\/8 (d) -1\/4 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-two fifths of a centimeter?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*((-13)\/(-3) - (-32)\/(-8)). Suppose x = a - 4*a + 6. Suppose -r + 2*w = 158990, 0 = -w + a*w + 5. Round r to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -248, -379, -512, -647, -784, -923?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o**2 - 48*o**2 + 8*o**2.\nAnswer: -54*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 18*s**2 + 13. What is a(18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in 1, -0.3672, -3, 3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3064.38 - -3064. Put 2, g, -0.09 in increasing order.\nAnswer: g, -0.09, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 7:59 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -366 >= -366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528896276.\nAnswer: 2, 3, 47, 359, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 4*s + 9, 11 = a + s + 9. Which is smaller: -7\/26 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.227972 to 2 decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 6*u - 1. Suppose 2*f + 5*d + 0*d = 31, -4*f + 2*d = -2. Let j(y) = 3*y. Give f*a(c) - 6*j(c).\nAnswer: -3*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -849c2?\nAnswer: 849c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*i = -52*i + 4. Which is bigger: i or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50.1 + -12.9. Let c = j + 58. Let i = -66 - -58. What is the third biggest value in 0.1, i, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-14)*n\/(n**(2\/9)*n) assuming n is positive.\nAnswer: n**(133\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 102?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -11*j - 66. Let i be d(-6). Let g(p) = -p - 2. Let h be g(-4). What is the third derivative of i + 2*u**2 - 4*u**6 + 2*u**h + 0 wrt u?\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 + 1 + 36*i + 3 + 1.\nAnswer: 36*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -8. Let w = 6 + t. Let l = 2.91 - -0.09. Which is the second smallest value? (a) w (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109417 and 84?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + (4 + 3 + -2*sqrt(192) - 3*-3*sqrt(30)\/(-3*sqrt(10))).\nAnswer: -19*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110603 less than -1117?\nAnswer: -111720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from aioooakioko?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 102577042?\nAnswer: -5\/102577042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Find f, given that 4\/5*f**d + 2\/5*f**4 + 2\/5 - 4\/5*f**2 - 2\/5*f**5 - 2\/5*f = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 103.8 or 2\/5?\nAnswer: 103.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 43086*c**2 - 43107*c + 258534.\nAnswer: 3*(c - 14363)*(c - 2)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19253561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 12575175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1121, -2031, -2943, -3857?\nAnswer: -4773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64431707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 6 (b) -5 (c) -0.4 (d) -0.1 (e) -11\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48967717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -23*l - 100. Calculate g(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-62*y**2 + 104 + 19*y - 17*y - 102)*(-8 + 33 + 37) as u*y + k*y**2 + j and give k.\nAnswer: -3844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/3)\/o)**19 assuming o is positive.\nAnswer: o**(-133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*y = -612 + 643 + 1297 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10*q**2 + 2*q - 8. Let a be c(-3). Let o = a + 421\/4. Let z = 3 - 4. Which is greater: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26763 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -113 - -113. Solve k - 2 + 0 = f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 3*v + 21, -3*l + 10 + 1 = v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100671 by 33557.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -8, 3*k - 9 = -5*d + 215. Let p = d - 43. Suppose -5*g - p*t + 24 = 0, -2*t + 0 = -5*g + 9. Solve -g*n + 2 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 30965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 96 + 34872?\nAnswer: 34928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91 or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14255265, -28510528, -42765791, -57021054, -71276317, -85531580?\n\"Answer: -14255263*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -255*s + 15. Let v be k(-4). Suppose 6*m = 3*m + v. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (935\/(-340))\/(33\/(-75)).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = 24*a - 85 + 23 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-6) + (-10)\/4. Let k be (-26)\/(-6) + p\/12. Solve k*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*d - 5933 = 205. Calculate the lowest common multiple of d and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65038*a + 8228 = -65280*a for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/45)\/((-24)\/(-1008)*14)*5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1073.25 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 6*n**2 - 2*n + 4. Let t be s(-6). Let d be (2\/t)\/((-2)\/(-804)). Let k = -50 + d. Are 0.1 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, p: 3, h: 4}. What is prob of picking 1 p and 2 h?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - b)*(-13 - 14 - 2).\nAnswer: -58*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246919.\nAnswer: 246919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c. Let o(y) = -15463*y - 2. What is m(o(u))?\nAnswer: -30926*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2466 + 2a8?\nAnswer: -21ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i*v**3*x - i*v*x**2 - i*v*x - 2766655*v**3*x**2 - 100*v**2*x + 17845*x**2 wrt v.\nAnswer: -24*i*x - 16599930*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v + 9*v = 246. Solve 2*z = v*z - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s - 25 = -13*s - g, 2*g = 3*s + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i - 10 = 0. Suppose -2*p = -2*p + i*p. What is the first derivative of -9*y**4 + p*y**4 - 9*y**4 - 13 + 3*y**4 wrt y?\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4972260?\nAnswer: 2, 3, 5, 79, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 1:59 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 10*v**2 + 10*v - 9. Let s be q(9). Let c = -841\/221 + 66\/17. Are s and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 11*r = -14*r + 1782, -1782 = -3*s + 5*r. Calculate the lowest common multiple of 594 and s.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**5\/120 + m**3\/6 + m. Let r(g) be the second derivative of j(g). Let u = 2026 + -2024. Calculate r(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*s**2 + 390 + 2*s + 60*s**2 + 63*s**2 + 45*s**2 - 223*s**2 as a*s + f*s**2 + b and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1000)\/240*(-4)\/10*-3*2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 54390 = 4*q, n - 5315 - 12815 = -8*q. Is 74 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 6*m + 8 = 5*m, 4*s - 3*m + 8 = 0. Let b be (-5)\/s*(-353 - 1). Let p = 1400 + b. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6700*s**3 + 23 - 55*s**3 + 35*s**2 - 27 + 4.\nAnswer: -6755*s**3 + 35*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6939 and 621.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*k + 30. Let m(v) = v. Calculate the remainder when 11 is divided by m(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360640 and 2156.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1245)\/(-96)*1 - (-1001)\/(-77)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21022*w - 21055*w + 627 = 0 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22502 is divided by 7026?\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 2*c**2 - 2*c - 3. Give i(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -7*s - 0. Suppose 0 = -4*b + 3*k + 64, -s*b = k - 29 - 19. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**6\/96 - 41*k**5\/80 + 15*k**4\/8 - 13*k**3\/6 - 434*k**2. What is t in g(t) = 0?\nAnswer: -26, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -44. Suppose 0 = 10*s - 70 - w. Solve 5*x = s*x + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 3*b**2 - b - 2. Let x be y(2). Let o be (-15)\/2*x\/20. List the prime factors of (0 - -6)\/(o\/21).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - v = 2, -6 = -4*g + 2*g + 3*v. Solve -5 = t - g*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2 - 102*d + 222. Give l(27).\nAnswer: 1113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/l**13))\/l*l)\/(l*(l\/l**5*l)\/l))\/(l**10\/(l**6\/l)) assuming l is positive.\nAnswer: l**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 201962 and 1413726\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(10\/9)\/z*z)\/(z\/(z\/z**(8\/5))*z)*(z**(-4)*z)**(-1\/38) assuming z is positive.\nAnswer: z**(-701\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 197\/62542 or 0?\nAnswer: 197\/62542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20*1*8\/3540. Let d = 3089\/1770 - t. Find the common denominator of -13\/16 and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3))**(2\/35)*l*l*l\/((l*l**13*l)\/l)*l*l**10 assuming l is positive.\nAnswer: l**(-6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 7*h**2 + 6*h + 5. What is p(7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/9)*t**29 assuming t is positive.\nAnswer: t**(260\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/22720807 or -1?\nAnswer: -4\/22720807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53382 is divided by 13345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -35.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 272 + -248. Suppose 4*j - 7731 = d*b - 29*b, 3*b - 5*j - 4609 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16.7 and 0.793414?\nAnswer: 17.493414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14900, -0.45, 0.06, 2 in ascending order.\nAnswer: -0.45, 0.06, 2, 14900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2346 + x - 1188 - 1185 in the form n*x + v and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/4 - (-175)\/70 - -2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20279 is divided by 102?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/4))**(4\/15)\/((h*h*h**(7\/5))\/h**(-3\/14)))**35 assuming h is positive.\nAnswer: h**(-689\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 26. Let c be r\/(-2)*(-4)\/(-12)*6. Suppose -5*g - 3*j + 362 = 0, -3*j = -g - c*g + 268. Calculate the remainder when g is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 41 = -f, -68*f + 73*f + 2*r = 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112423729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**2 + 26*v**2 + 16*v**2 + 27*v**2.\nAnswer: 56*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 19. Suppose 4*n + a*n = 45. Suppose -5*z + 28 = 3*l - 6, z = n*l - 10. Put -17, l, -3 in decreasing order.\nAnswer: l, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2738 = -2*b, r + 4*b = -2*r + 2768. Let h be r\/8*(4 + -2). Let f = h + -162. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/3)\/(1\/(-15)). Let l = -64 + 66. Let x be (4\/(-6) - (-14)\/(-42)) + -3. Sort u, l, x, -3.\nAnswer: u, x, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 22 + 6. Suppose -s*m + 18 + 74 = 0. What is the remainder when 90 is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 f, and 1 e when four letters picked without replacement from {e: 7, f: 5, r: 1}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 238703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 - 10*f**3 + 10*f**2 + 3*f**3 + 3*f to i*f + n + t*f**2 + m*f**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/9 - -2) + 6\/27.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3 - 8*l**2 - 1 as z*l + v*l**2 + i and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/6)\/p*p*p**1*(p*p**(-7))**(-1) assuming p is positive.\nAnswer: p**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*d**4 + 14*d**2 - 10*d**4 - 6*d**4 wrt d.\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 8*q + 2*f, 2*q = 3*f. Suppose q = 3*y - 6*y + 6843. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 24*m + 85 - 25 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 7.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77*h**6 - 3*h**4 - 339*h**2?\nAnswer: -9240*h**3 - 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 409257139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let p(y) = 527279*y. Give p(q(x)).\nAnswer: -527279*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 10*r**2. Let q(h) = -40*h**2 - 70*h + 73*h - 3*h. Give n(q(o)).\nAnswer: 16000*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {e: 4, n: 10}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1264 - 1255. Solve -n*o - 12 = -5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-1*sqrt(286) + sqrt(286))\/sqrt(11) - (sqrt(260)\/sqrt(5))\/sqrt(2)))\/((-5*(sqrt(162)*6 + sqrt(162) - sqrt(162)) + sqrt(162))*-2).\nAnswer: sqrt(13)\/261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 11.979869\nAnswer: 179.698035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48236 rounded to 3 dps?\nAnswer: -0.482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-160)*32\/36?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3 = -a + 8, 5*b - 20 = 5*a. Suppose 9*y - 5*y - 20 = -4*j, 2*j + 15 = b*y. Factor 3\/5*m**4 + 6\/5*m**3 - 3\/5 + j*m**2 - 6\/5*m.\nAnswer: 3*(m - 1)*(m + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105777 is divided by 11728.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14630 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/42 - (-7)\/21. Suppose f = 4*v + 5*f, -2*f = -4. Let m be (2\/(-24))\/(v\/18). What is the closest to w in m, 3, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 - 10*j**2 + 8*j**2 - 3*j**2 - 154*j**3.\nAnswer: -154*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 3. Let h = -10 - g. Suppose 0 = h*b - 0*b - 100. Does 25 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 0*c**2 + 0*c**2)*(-2*c**2 - 3*c**2 + 3*c**2)*(-2 + 13*c + c + 6*c).\nAnswer: 40*c**5 - 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -2. Let x(j) = -7*j - 40. Let l be x(-6). Sort l, 5, b, -3 in decreasing order.\nAnswer: 5, l, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/630 and 133\/355140?\nAnswer: 2485980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**6\/80 + s**4\/16 - 7*s**2\/2 + 7. Let b(h) be the second derivative of f(h). Factor b(t).\nAnswer: -3*t*(t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/5))\/(g**(-5)*g))\/(g**(1\/2))**(-6\/7)*(g**(-2\/11)\/g**(1\/5))\/(g**(-2))**(-33) assuming g is positive.\nAnswer: g**(-23313\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(2\/15)*a**(1\/2)*a**(-2\/3)*(a*a*a**(-1\/4)\/a)**(-15\/2)*(a\/a**5)\/(a**(-7)\/a) assuming a is positive.\nAnswer: a**(-43\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 0.4, -172\/17, 4\/3 in increasing order.\nAnswer: -172\/17, -3, -1, 0.4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/8)*u)\/u**(2\/37))\/(u\/(u*u**(2\/49))*u**10) assuming u is positive.\nAnswer: u**(-125289\/14504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3901 is divided by 1941?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6140 - -14) + 1 + -5. Let u = -4 + 9. Let z be (b - 0)*100\/u. Round z to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -41. Let y(p) = 5*p + 1. Let j(r) = 70054 + 34*r - 10*r - 70050. What is b*y(s) + 3*j(s)?\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2. Let c(o) be the third derivative of 0 + 0*o - 82*o**2 + 0*o**3 + 59\/12*o**4. Calculate k(c(w)).\nAnswer: -13924*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**8\/840 - h**5\/24 - 2*h**3\/3 + 8*h. Let j(a) be the second derivative of y(a). Find the second derivative of j(o) wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.28 * 2.\nAnswer: 6.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -63 + -1?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (120\/57 - (-20)\/2470*-13). Factor w - 1\/4*j**2 + j.\nAnswer: -j*(j - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 11) in base 4?\nAnswer: -110303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -856045270720.9?\nAnswer: 856045270721.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -60\/529 bigger than -5794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*o + 92*o = -983 + 4875 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18674241*c - 151066.\nAnswer: -18674241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from zzdzdzd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41982 is divided by 977.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/39)*m)\/(m\/m**(3\/20)))\/(((m\/((m**(1\/4)\/m*m*m)\/m))\/m)\/(m\/(m*(m*m**22*m*m)\/m))) assuming m is positive.\nAnswer: m**(-4397\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/11 (b) 0 (c) 14 (d) 2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -20 + 146. Let s = p + 82. Does 20 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v**2 - 3. Let j(k) = -105*k**2 + 40. Let z(w) = 3*j(w) + 40*y(w). Let f(g) = -7*g + 17*g - 4*g - 7*g. What is z(f(b))?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**3 + 0*l + 0*l)*(-311 - 128 + 91)*((-3 + 1 + 1)*(5 - 5 + 1) - 4 + 1 + 2) to the form o + c*l**2 + v*l**3 + u*l and give v.\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 922230 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 73. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*z - 3487*z - 6141*z - 3510*z + 2965*z)*(0*z**3 + 0*z**3 - z**3).\nAnswer: 10110*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -20 + 14 + 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 3:00 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75944, -151888, -227826, -303758?\nAnswer: -379684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(19) - (-4 + sqrt(19) + -1)) + (-1 + sqrt(19) + 3)**2 + 1.\nAnswer: 4*sqrt(19) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 5:34 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q - 3. Suppose -5*h + 4 = -6. Suppose c - 3 = -l, -h + 3 = 2*c + l. Let x be s(c). Solve -2*g - 5*p + 18 = 0, 3*g - x*p = -g + 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 30045820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2202.7 - -2203. Put 1.4, 0.1, q, 4\/7 in increasing order.\nAnswer: 0.1, q, 4\/7, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 418117 - 174084. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, 29, 149, 269, 389?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2552.6 and -0.3.\nAnswer: -765.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/18)\/((-1)\/(-2)). Suppose 0 = -2*s + 2*f - 4, -2*s = f - 5 - 3. Suppose -6*y = -7*y - s. Sort y, o, 2 in increasing order.\nAnswer: y, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 - 2*u**2 + 1. Let c be r(-2). Let b(l) = -l + 7. Let k be b(c). Which is smaller: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide ((-195)\/26)\/(((-4)\/2)\/28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -247, -369?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.85972 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3584 at least -3445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757381829.\nAnswer: 47, 281, 57347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7090 - 9?\nAnswer: 7081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/4 and -112243 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10628254 by 33007.\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 122366767?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6250278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -d + 2. Let g(c) = 8*c**3 - 3*c**2 - 3*c - 3. Is g(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4 + 2. Let c = -7 - q. Is -1\/6 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 30*y**2 - 12*y + 1. Let g(x) = -26*x**2 + 10*x - 1. What is -5*g(v) - 4*u(v)?\nAnswer: 10*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.08 times 0.2?\nAnswer: -1.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 3, -14, -0.1, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**3 - z**2 - 109*z + 495. Calculate l(4).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 159390 and 121716?\nAnswer: 6694380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 1 - 10260*s.\nAnswer: -10260*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5509 - 5508. Let m(n) = -3*n**3 + 6*n**2 + 6*n + 6. Let s(a) = -a**3 + a**2 + a + 1. Determine y*m(i) - 6*s(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1703\/20 greater than or equal to -86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**3 - 784*x**2 - 40388*x - 245672 = 0. Calculate x.\nAnswer: -107, -82, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -98*h + 294*h - 49*h - 83*h. Let u(l) = -l**2. What is j(u(x))?\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) 5 (b) 2016.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/11 + -17\/22. Let f(j) = -8*j + 129. Let i be f(16). Which is the third smallest value? (a) -0.21 (b) p (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1992 and -13\/32?\nAnswer: 7968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 372020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.1368?\nAnswer: -0.01368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jemmemmjemmm. What is prob of picking 2 j?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49838 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 1747?\nAnswer: 1746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -4*c**7\/21 - 7*c**4\/4 - c**2\/2 - 43. Let j(g) be the second derivative of k(g). Find the second derivative of j(l) wrt l.\nAnswer: -480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 11:49 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**3 - 2*x**3 - 2*x**3 + (4*x - 4*x - 2*x)*(-2*x**2 - 3*x**2 + 0*x**2))*(-1 - 2*x + 1).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 137985600 and 38760.\nAnswer: 137985600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -439, -875, -1307, -1735, -2159?\nAnswer: -2579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-3)\/o*o**(-4\/3)\/o*o*o)**33 assuming o is positive.\nAnswer: o**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 5, v: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 69*j - 73*j, -5*r + 9 = -4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/7 + 195*y**2\/7 - 1608*y\/7 + 464 = 0.\nAnswer: -203, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from lslllbbsbn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 6:50 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 6. Let t be (2 + k\/6)*-2. What is the tens digit of (-1*5)\/(t\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -19. Suppose 2*l + 40 = s*x - 2*l, 2*x = -2*l + 22. Suppose 0 = -x*o + 7*o + 28. Which is the nearest to -0.2? (a) -3\/2 (b) o (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + v - 1. Let q(g) = -10*g**4 + 6*g**2 + 6*g - 9. Let n(z) = q(z) - 6*x(z). What is the derivative of n(a) wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Suppose -4*u = 5*m - 50, 2*m - u = -2*m + 40. Let b = 145384 + -145388. Is m at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*o**3*z - 567*o**3 - 2*o**2*z**2 - 105*o**2 - 2849*o*z**2 + o wrt z.\nAnswer: 5*o**3 - 4*o**2*z - 5698*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10470 - -0.1.\nAnswer: -10469.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7707, 26034, 56579, 99342, 154323, 221522, 300939?\n\"Answer: 6109*z**2 + 1598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26542654 by -4.\nAnswer: 13271327\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 545?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*b + 4*b + b as d*b + u and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -387, -388, -389, -390, -391, -392?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 16*w + 48. Suppose 0 = -3*r - 5*b + 21 + 7, 0 = 5*r - w*b - 96. Solve 14 = f + r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + g = -6*l, -3*l = -3*g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 6*d = x + 3*d - 41, 2*d = x + 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 t when four letters picked without replacement from {t: 8, o: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.4 - -17. Sort 2, 2\/11, g.\nAnswer: g, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4384\/(-112) - -37)\/((-4)\/(-56))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -12*z - 13 + 10*z + 3*z. Let q be g(15). Let l(s) = 4*s**2 + s + 3. Let r be l(q). What is the greatest common divisor of r and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -0.4, -9\/4, 0.5, 3, 1 in decreasing order.\nAnswer: 3, 1, 0.5, -1\/8, -0.4, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 17, -4, 26283, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(-4*sqrt(60)\/sqrt(5)) - sqrt(70)\/(sqrt(1210) + 2*sqrt(1210))) + 1.\nAnswer: -37*sqrt(7)\/132 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8376195 millilitres in litres?\nAnswer: 0.0008376195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*n + 312 = -161*n. Let f(d) = -d**3 - 12*d**2 - 13*d - 9. Let v be f(-11). Calculate the highest common factor of v and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -75, 572, -7 in increasing order.\nAnswer: -75, -7, 0, 1, 572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/7)*m)**(4\/3)*(m**(-2\/11)*m)**35 assuming m is positive.\nAnswer: m**(2425\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 18. Let q(x) = -6*x - 1. Let n be q(2). Let p = n + 8. Which is the second biggest value? (a) -0.4 (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282755621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 7) to base 3\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8232*i + 8207*i + 425 = 0 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-15)\/z*z)\/(z*z*z*z\/(z\/z**(-3\/2))*z))\/((z\/z**(3\/2))\/z**14) assuming z is positive.\nAnswer: z**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -7*v**4\/12 - 31*v**3\/3 + v**2. Let u be 3762\/(-693) - 8\/14. Calculate the remainder when 63 is divided by r(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53013847?\nAnswer: 53013847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 331 + -524. Let y = i - -194. What is the second smallest value in 4\/65, y, 0?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 14*x + 197 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -1 - (-4)\/((-20)\/25). Let f be ((-14 - -12) + 27)*(c - -175). What is f rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**5\/105 + a**4\/42 + 3*a**2\/2 - 3. Let c(n) be the second derivative of r(n). Factor c(y).\nAnswer: 4*y*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (6 - (8 + -58 + 12 + 1))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*d**2 - d*v**2 - d + 488*v**2 with respect to d.\nAnswer: -40*d - v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*s + 69 = 0, a + s + 12 = 2*a. Let q = 307 - 142. Calculate the highest common factor of q and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**4\/12 - i**3\/6 - 3*i**2\/2 + 11*i. What is the remainder when 30 is divided by l(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 21*v + 106. Give k(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37.171 and -1512.6?\nAnswer: 56224.8546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.164624061 - 7.\nAnswer: -7.164624061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 12:21 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 12*f**2 - 1. Let b be t(-1). Calculate the greatest common factor of b and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 14*z**3 - 9*z**2 + 165*z - 9. Let n(m) = -m**3 + m**2 + m + 1. What is 9*n(t) + x(t)?\nAnswer: 5*t**3 + 174*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3791*w + 49236. Determine o(13).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -11*g**4\/12 - 154*g**2. Let j(t) = 12*t**2. What is j(r(b))?\nAnswer: 5808*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 452 - 380 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3719*f + 32026 = 49842 + 186729 for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from ajlllxllllllxx?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/((3*sqrt(12))\/sqrt(6))*-3 + (sqrt(75)*-4 + -4)**2 + sqrt(75) + -5.\nAnswer: 164*sqrt(3) + 1211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**4 + 127755*a**3 - 842539715*a**2 + 335439826245*a - 334597414280 = 0?\nAnswer: 1, 424, 12563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8848 and 3792?\nAnswer: 26544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21190110?\nAnswer: 2, 3, 5, 706337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4579, -17779, -39779, -70579, -110179, -158579?\n\"Answer: -4400*z**2 - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 4*l**2 - l - 1. Let j = 9 + -5. Suppose i + 8 = -5*h, 3*h + 5*i = -0 + j. Determine f(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31\/2 - -15. Let s be (2\/(-3))\/(4848\/27270) + (2 - -2). Which is the second biggest value? (a) s (b) -0.1 (c) 0.5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-6))\/(6\/(-9)))\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4468\/15 + -58054\/195. Which is the fourth smallest value? (a) u (b) -0.09 (c) -1\/50 (d) -0.1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 928 and 0.04.\nAnswer: 37.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*j + 154*j = 78. What is the second biggest value in j, -3, -0.3, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3311596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -54*b**3 + 225*b**2\/2 - 240*b. Differentiate u(t) with respect to t.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3983539108.\nAnswer: 2, 59, 16879403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -21, -14, 2, -3, -10 in decreasing order.\nAnswer: 6, 2, -3, -10, -14, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5710 is divided by 238.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497*f**2 - 605*f**2 - 1 + 91*f**2 + 1.\nAnswer: -1011*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -33\/139?\nAnswer: -33\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h + 13*h - 4*h. Let s(l) = 4*l + 5*l**2 - 4*l. Determine m(s(b)).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 114210213?\nAnswer: -114210142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 643 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1606983 to the nearest integer?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3 - 4*f + 0 + 3 + 10*f. Let v(x) = 2 - 2*x + 0*x + 4*x. Determine -5*u(b) + 14*v(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -8, -0.045, 1\/7, 2\/3, -353?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 3 + 2*l - 5 + l. Let y be a(6). Suppose -3*n + 5*g = -432, -3*n + y*n + 2*g - 155 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - j**2 - j + 1. Suppose -1 = 3*a - 4. Let f be k(a). Suppose 2*h + 2 = f, 4*d - 17 = -h + 26. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93295.19 minutes in seconds?\nAnswer: 5597711.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nennneyynnynny. What is prob of sequence yeey?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4))**32\/(r**(-7)*r**(-2)*r))**(9\/10) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1818 and 162?\nAnswer: 16362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h. Let b(p) = 3*p + 24. Let a(o) = -b(o) + 2*t(o). Calculate the lowest common multiple of a(-8) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613.4573ng in tonnes?\nAnswer: 0.0000000000006134573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5911)\/(-99) + (-8)\/(-72) + (-13)\/((-143)\/2).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 8) to base 14.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 4:52 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 95968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*s + 5*r - 783, -2*s - 4*r + 778 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-16)\/144*-36)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, u: 7}. Give prob of sequence uggg.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*x - 15*x**2 + 26*x - 56*x + 32*x**2.\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11b2c (base 14) to base 8.\nAnswer: -124534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 1603e4?\nAnswer: -1603e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.54 + -18?\nAnswer: -13.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**4 - 192*r**3 + 46*r**2 + 43*r wrt r.\nAnswer: -48*r - 1152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0*h - 1 - 38\/3*h**3 + 41\/24*h**4 - 66*h**2. Find the first derivative of n(x) wrt x.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 336*n**2 - 337*n.\nAnswer: n*(n - 1)*(n + 337)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2415253 and 1155121.\nAnswer: 26567783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/3)\/(20\/30))\/2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = -2*c + 3505908. Factor 3*q**4 - 250422 - 45*q**2 + 12*q**3 + c - 54*q.\nAnswer: 3*q*(q - 3)*(q + 1)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.592 (b) 157646 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13841820 take away 134?\nAnswer: 13841686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 578696801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20022020211210 - 0?\nAnswer: 20022020211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 251*g**2 - 3517*g - 39. Determine w(14).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 420349031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91041 by -3.\nAnswer: -30347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 612*l**2 - 356*l**2 - 3*l - 312*l**2.\nAnswer: -56*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.139544 to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/7 + 1984*j\/7 - 9820\/7.\nAnswer: -4*(j - 491)*(j - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 356*d + 1613*d - 37.\nAnswer: 1257*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 220322 (base 4) in base 14?\nAnswer: d50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 46\/5 of a centimeter?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134 (base 5) in base 11?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.1, 3\/5, 52, 2, -3?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*(-630)\/42\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3140?\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3663 and 594.\nAnswer: 21978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.1. Let b = f - -0.5. Let v = 1.1 + -0.1. What is the closest to 0 in v, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -117*g**3 + 12*g - 4371 wrt g.\nAnswer: -351*g**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.913 - 0.047. Let q = -47.16 + 47. Let z = q - k. Round z to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*t + 13, a - 1 = 2*t + 6. Let y be 0\/(1 + t + 1). Suppose y = -2*s - 5 + 1, -2*l + 4 = s. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28855 - 0.0129074.\nAnswer: 28854.9870926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 45 - 9 = 0. Let v(m) be the second derivative of -3*m + 1\/20*m**5 - 1\/3*m**3 + 0 - 1\/2*m**4 - 4*m**2. Give v(j).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.4300934 - 3.43. What is o rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-6)\/27*180. Let h = 23 - i. Let s = -10 - h. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140598 and 25404?\nAnswer: 8154684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*(j*j**(-20))\/j))**(-27)*(j\/(j*j\/((j**(1\/6)*j)\/j)*j))\/(j*j**(-18\/11)*j*j) assuming j is positive.\nAnswer: j**(-34069\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -5*q - 14*q**3 + 59 + 9*q - 33. Find the first derivative of m(r) wrt r.\nAnswer: -84*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**6\/40 + c**5\/20 + 5*c**4\/8 + 3*c**3\/2 + 13*c**2. Find n, given that r(n) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 19*o**5 + 200*o - 13. Find the first derivative of p(t) wrt t.\nAnswer: 380*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -321, -1273, -2861, -5085, -7945?\n\"Answer: -318*a**2 + 2*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 21 = b + 13, 3*b - 7 = -5*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.97 - -0.03. Let w = -39\/22 - -307\/198. What is the second smallest value in 8\/7, a, -1\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62181 a multiple of 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -13 (c) 1\/7 (d) -98\/3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 582990 divided by 30?\nAnswer: 19433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.81 and 0.22?\nAnswer: -0.1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -282899851 or -282899853?\nAnswer: -282899853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 4, -6417 in decreasing order.\nAnswer: 17, 4, -6417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77 and 121.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**4 + 4*y + y**3 + 2*y**4 - 4*y**4 - 2*y**2 - 3*y in the form z*y**2 + a*y + r*y**4 + s + m*y**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 24*i + 183. Let d(o) = 2*o**3 + 50*o**2 + 45*o - 66. Let z be d(-24). Calculate m(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64.5 + -68.5. Let l = 0.1 - -0.4. What is the smallest value in 0.12, k, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.43 and 73 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + n - n)*(-226 - 15*n**2 + 226)*(2*n**2 + n**2 - n**2).\nAnswer: -30*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -61140.\nAnswer: 1\/12228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -14 + 12 - (0 + -4). Let k be 0 - 0 - p\/7. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19922882 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: Let s(j) = 9*j + 23. Calculate s(15).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z + 19*z + 91*z.\nAnswer: 96*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 7*t - 72. Suppose -t*f = -14*f. Solve f = -3*i - 0*i + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*s - 17*s - 3*s.\nAnswer: -46*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 3 - 19 = 0. Let i = 24 - 9. What is the second derivative of i*s**u + 0*s - 2*s - 4*s - 20*s**2 wrt s?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65876, 65928, 65984, 66050, 66132, 66236, 66368?\nAnswer: 66534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -40*q - 143. Determine z(-5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Suppose -310 = -b*m - 3*m. Suppose 3*t + 18 = n - 5, m = 4*n + 3*t. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 9*b - 3. Calculate the remainder when 3 is divided by k(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 23 + 5 = -3*v, -v - 2 = -3*u. Solve -4 = -r, 7 = -5*d + 5*r + u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 52.3494 minutes?\nAnswer: 0.03635375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -3*f, 0*f - 2 = -4*f - 2*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 12:46 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a meter in millimeters?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 3*f**2\/2 + 1. Let r(d) = 12*d**2 - 2. Let b(z) = 43*z**2 - 7. Let q(n) = 2*b(n) - 7*r(n). Give a(q(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086240 is divided by 2282.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**2 + 3 - 3)*(2*f + 0*f - 4*f) - 1232*f - 3*f**2 - 3 - 1176*f + 372*f**3 + 2413*f to r*f**2 + l*f + s*f**3 + m and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 + 42876*m + 3*m**3 - 42876*m.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122344, -122355, -122382, -122431, -122508, -122619, -122770, -122967?\nAnswer: -123216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (12 - -1) + (0 - (-10 - (-8 + 13)))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14520?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42\/72*5\/(-7). Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, j: 1, l: 7, w: 4}. Give prob of sequence wlwn.\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*m**2 - 1271747*m + 1271747*m.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 357.45 + -1.45. Let p = n - 350. Which is the nearest to 0? (a) p (b) -0.4 (c) 2\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2\/(-18)*3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 78*h**2 - 65*h - 188. What is the thousands digit of a(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 1:28 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(76))\/(sqrt(576)*1).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (-1 + sqrt(12))**2 + sqrt(108)\/sqrt(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 361 - 75. Let v(b) = -4*b + 2. Let m be v(-6). What is the greatest common factor of x and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w**2. Let c(y) = 2*y + 3. Let n(q) = -q - 2. Let g(o) = -2*c(o) - 3*n(o). Calculate g(u(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 20. Let a(d) be the second derivative of d**3\/2 - 41*d. Calculate a(k(i)).\nAnswer: -3*i + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 6*g**2 + g**2)*(-5*g + 5*g - 2*g**3 + (2*g + 1 - 1)*(4*g**2 - 3*g**2 + 2*g**2) - 127 + 127 - 18*g**3).\nAnswer: -42*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -20102000010?\nAnswer: -20102000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*z - 31 = 166 + 107 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2. Suppose -5 + 95 = 10*s. Let l(u) = -5*u + 11*u - u - s*u. Determine l(q(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 3 = 3*u + 6, -3*u = d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.5, -3\/4, 927, 0, -3267 in descending order.\nAnswer: 927, 3, 0.5, 0, -3\/4, -3267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 26*t**3 + 10*t**2 + 78*t + 33. Is n(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/32 and -105\/2332.\nAnswer: 18656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, n: 5, c: 3}. What is prob of picking 1 n and 1 h?\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvxvxxvvxduxvvvxa. Give prob of sequence dv.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 683220.8 nanometers to meters.\nAnswer: 0.0006832208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**5 + 104*j**4\/5 - 158*j**3\/5 + 64*j**2\/5 + j = 0 for j.\nAnswer: -1\/15, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 78725 = -32704. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - 0) + 2 + (8 - -11) + -15\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + 1.55. Let f = m - -0.5. Which is the closest to f? (a) 0.4 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 26. Suppose -p*b + 71 - 21 = 0. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-3 - (-11 + 4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n + 7. Let z(g) = -4*g + 4. Let h(r) = -3*b(r) + 5*z(r). Let l = 16 - 10. Let q(t) = t**2 - 5*t - 2. Let o be q(l). What is h(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4542 (b) -21613 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/4612 and -51\/142472.\nAnswer: 164270216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 10*n**2 - 5*n - 89. Let f be r(8). Put f, 2, 392 in increasing order.\nAnswer: f, 2, 392","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7944992 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - j + 8. Let f be c(0). Let o(i) = 14*i**3 - 4*i**2 + 8*i. Let k(t) = -9*t**3 + 3*t**2 - 5*t. Let v(a) = f*k(a) + 5*o(a). Factor v(s).\nAnswer: -2*s**2*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)\/(sqrt(1200)*-1))\/(sqrt(55)\/(sqrt(20)*2 + sqrt(5))))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*s = 5, 0 = -4*s + 2*s - 6. Suppose -w*d = d. Suppose d = -0*q - 3*q + 48. What is the remainder when 31 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from efeeeeefeeffefeffeff?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -100 - 2\/3*z**6 + 3\/2*z**2 + 0*z**5 - 5*z + 0*z**3 + 5\/4*z**4. What is the second derivative of c(p) wrt p?\nAnswer: -80*p**3 + 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -3. Let p be (-3 - f\/(-3))*-3. Determine d, given that p + 0 + 2*d**2 - 5 + d**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*k - 41 = 0, 147 = -3*a + 3*k - 5*k. Let b = a - 9. Let l = 81 + b. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211, -204, -193, -178?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 6. Suppose 0 = u*q + q. Sort 2\/3, 2, q.\nAnswer: q, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30170148 to the nearest integer?\nAnswer: 5493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 k, and 1 a when four letters picked without replacement from bwkqqakqquwbaqau?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(75)*3)**2 + 4.\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -5 (c) 2\/9 (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3320182 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 69*q - 167. Let a be l(3). Solve a*p + 18 + 22 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 94733 from -10.388.\nAnswer: -94743.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - 6. Let h = 31.0181 + x. Round h to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 40c301?\nAnswer: -40c302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 0.2 (b) 7 (c) -6 (d) -5 (e) -1\/121\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 17140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 869025 or -31?\nAnswer: 869025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 131*p + 76*p - 11*p. Let z(j) = -j. Calculate i(z(b)).\nAnswer: -196*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24531 - 45?\nAnswer: 24453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1730 + -1736. Let o = 143\/5 + -28. What is the closest to 2 in o, -0.3, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9\/196 + -6771\/196. Calculate the common denominator of d and -63\/415.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5 + 5*j**4 - 21*j**3 - 113*j**2 - 148*j - 60 = 0.\nAnswer: -6, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + j - 18. Let r be m(-5). Solve 2 = r*k + 4*d, 17 = 7*k - 2*k + 4*d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(175) + -3 - sqrt(175)) - (sqrt(175)*2 + 5))**2 - 5*(-1*sqrt(1008) + -5 + (sqrt(1008) - 1*sqrt(1008)*6))**2.\nAnswer: -180336 - 3140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/4 of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 37\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12180.49 meters in micrometers?\nAnswer: 12180490000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + m - 4*m)*(-4 + 1 + 2) + (-3 + 0 + 2)*(-m - m + 4*m) + 5*m - 3*m + m + (0 + 6 - 4)*(-1 + 1 - m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -11 + (-8)\/(-12)*-3 - -5. Is z\/20*-10 - (-52239)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*j**2*n*v + 9*j**2*v - j*n*v - 3*j*n - 8*j*v + j - v wrt j?\nAnswer: -164*n*v + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8)\/((5\/(-30))\/((-23)\/207))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4529644 and 864.\nAnswer: 978403104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6428 rounded to one decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1015031.9 and -13059287.\nAnswer: -14074318.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 11}. Give prob of picking 3 s.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2667, 2, -2381, -2 in decreasing order.\nAnswer: 2, -2, -2381, -2667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 113, 116, 119, 122, 125?\n\"Answer: 3*x + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22184, -44503, -66952, -89531, -112240, -135079, -158048?\n\"Answer: -65*i**2 - 22124*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7982550 and 30?\nAnswer: 7982550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/5*s**4 + 0*s - 1\/5*s**5 + 0*s**2 + 0 + 2\/5*s**3 = 0. What is s?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -1)\/(1\/(-3)). Let k = -21.5 - -17. Let g = k + 4. Which is the second biggest value? (a) g (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 810?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 6*h**2 - h. Let w be j(6). Let u = w + 11. Suppose -5*p - u = 0, -m + 2*m + 2*p - 23 = 0. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 26982 + 29375*r + 26982.\nAnswer: -2*r**2 + 29375*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/38 - 49567\/(-3686)*2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*u - 4*o - 1, u - 3*o - 18 = 0. Solve -4*w - 3*i = -19, -4*i + u = w - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1584) + 1*(1 + sqrt(1584)) - sqrt(1584)) - ((sqrt(110) + sqrt(110) + (-1*sqrt(110) - sqrt(110) - sqrt(110)))*1)\/(sqrt(60)\/sqrt(24)))**2.\nAnswer: 368*sqrt(11) + 23292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-825 + 30*h + 823 + 31*h)*(-1 + 1 + 1)*(-185*h + 388*h - 158*h) to the form c*h**2 + i + q*h and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 338 - -120502.98875.\nAnswer: 120840.98875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -1040331305?\nAnswer: -1040331301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 27*j**3 + 52*j**2 - 160*j - 5. Is 4 a factor of x(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 4*d**2 - 4. Calculate n(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3 + 5*l + 97*l**3 - 98*l**3 in the form t*l + z + b*l**3 + y*l**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*y - 3*t, 4*y - t - 14 = -0*t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6962 - -6974. What is the smallest common multiple of t and 604?\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Let j(t) = 14*t + 26. Let b be j(-1). Suppose 32 - b = k*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2287326277?\nAnswer: 2287326277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**8\/1176 + q**6\/140 + q**5\/105 - 3*q**2\/2 + 2. Let b(i) be the second derivative of o(i). Factor b(t).\nAnswer: -2*t**2*(t - 2)*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 2*p**2 + 3*p - 2. Suppose -17*q = -19*q + 4. Let k be j(q). Suppose 0*d = 77*d - 2772. Calculate the greatest common factor of k and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 - (57 + -54)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**3 + 3*o**2 + 7*o. Let m be h(6). Let u = m + 905. What is the greatest common divisor of 37 and u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48968000 to the nearest one hundred thousand.\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 17*u + 13. What is w(-17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 7 - 16. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1 - 0)*-2)\/(16\/10). What is the smallest value in 2, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/70 - 36771\/(-70). Let l = 12 - 5. Suppose -2*b + p = -l*b. Round b to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*h**2*r**2*w + 17*h**2*r*w**2 - 216*h**2*w**2 - 7*h**2 + 13*r**2*w**2 + 2*r**2 + 281*w wrt w.\nAnswer: 34*h**2*r - 432*h**2 + 26*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4731\/1245)\/(4\/(20\/(-1))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (4 + -104 + 54)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647422?\nAnswer: 2, 323711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*b + 5*b + 144. Suppose -92*y = -88*y + b. What is the nearest to -1 in 2\/9, -4, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -17\/7, 5, 16, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 15. What is the smallest common multiple of 5 and (0 + o)\/(2\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -700*m - 2097. Give f(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a = -80. Solve 3*l - a = -5*f, -5*f - l = 4*l - 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + p + 3 = 8, 0 = 2*f - 2*p - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 646 = 3*t - 2056, 0 = -t - 3*w + 886. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-702)\/105 + (-2)\/(-7). Let n = 105194 - 4208021\/40. Let m = n - g. Is -1 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u + 102 = 0. Suppose 0*r + 5*q + u = 2*r, -5*q = 5*r - 185. Let k = r - 37. Put k, -7, 0 in decreasing order.\nAnswer: k, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 364359 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1118910 and -51\/1208.\nAnswer: 4475640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvpvbp. Give prob of sequence vp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -7, -1 in increasing order.\nAnswer: -7, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 3 - ((11 - 6) + -15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.47? (a) -0.1 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1860*y = 1859*y - 4*s + 16, -2*s = -2*y + 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2\/273 (b) 149 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -377075, -375727, -374391, -373073, -371779, -370515, -369287?\nAnswer: -368101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 46 = -5*c + 34, 0 = -2*y. Suppose 27*d - 12*d + 6444 - 6519 = 0. What is the remainder when c is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45115 (base 7) to base 12\nAnswer: 6704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 2, 1, 4, -7, 8 in increasing order.\nAnswer: -7, -1, 0, 1, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4438717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 8*n + 9. Let m be d(-9). Solve -6*o + 4*o + 8 = m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3\/13 - 22808*b**2\/13 - 45622*b\/13 - 22812\/13 = 0.\nAnswer: -1, 11406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - z**2 + 9 - 5 + 33*z to the form u*z**2 + i*z + c and give i.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(288)*-2 + -1) - -5*-1*sqrt(288)*-2)**2.\nAnswer: 672*sqrt(2) + 56452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*h + 3*h - 23, 0 = 2*w - 2*h - 2. Suppose 0 = -w*a + a. Solve -4*l = -2*i - 22, -4 = 2*i - a*i + 2*l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27067 or 29053?\nAnswer: 27067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 4. Let q(w) = -w**2 - 5*w + 16. Calculate -9*a(y) - 2*q(y).\nAnswer: 2*y**2 + y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(-4*n**2 - 10 + 10) + (-2 + 5 + 2)*(n + 2*n - n)*(-4*n + 6*n + 0*n) in the form c + r*n**2 + j*n and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -8784 bigger than -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-17)\/o)\/(o**(2\/5)\/o))\/(o**(-13)*o*o**34\/o*o*o) assuming o is positive.\nAnswer: o**(-202\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 27, 34, 45?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -7862899119706.\nAnswer: -7862899119705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 99 + 29 = 0. Let a = r + -28. Solve 0 = -2*n - 6, -4*m + a*n = -m - 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in years?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8587.614 years to millennia.\nAnswer: 8.587614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*b**2*o**3 - b**2*o**2 - 53*b*o**3 + 113*o**2 wrt o.\nAnswer: -42*b**2 - 318*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(77) - sqrt(77) - sqrt(77))\/sqrt(7) + sqrt(11) + sqrt(55)\/sqrt(5) + -4)*5)**2.\nAnswer: -400*sqrt(11) + 1500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1159 and -5?\nAnswer: -5795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mammvissamivsmasvvao. What is prob of picking 1 s and 1 v?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -27. Solve -2*m = s - 9, m - 3*s - r*s - 10 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/2371?\nAnswer: 1\/2371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -164*x**4 + 2*x**3\/3 + x**2\/2 - 12*x - 25. Let h be q(-4). Suppose -d = -9*d + h. What is d rounded to the nearest 100?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*f + 4*i, -2*f - i = 3*f + 13. Let j be 3 + (f - (-2)\/(-3)). What is the third biggest value in j, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k*k**(2\/25))\/k)*k**(2\/31)*k*k**1*k*k*k**7 assuming k is positive.\nAnswer: k**(9288\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 234*n**2. Let u(g) = 21*g**2. What is u(f(j))?\nAnswer: 1149876*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121659 - 21*b**2 + 121659.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*9\/(-1260)*40?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 3 + 0 - 7 + 5*j - 6*j**2. Let h be u(-7). Solve 4 = -h*g - 2*m, 2*m + m - 12 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 704 + -23463?\nAnswer: -22557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30915, 61941, 92967?\nAnswer: 123993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*s**4 + 37*s**2 - 618.\nAnswer: -44*s**3 + 74*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p + 4843. Is c(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4*4\/(-3). Let d = 199333 - 1598219\/8. Let n = d - -445. Which is smaller: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c + 14. Let j be t(10). Does 17 divide j\/(-56) - 248\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2068437 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 2 (b) 4 (c) 0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123 - 106. Solve 2*j - 14 = 2*t, j = -0*j + 3*t + f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdu when three letters picked without replacement from {b: 1, m: 2, d: 1, u: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 2196*q**2 + 421*q**2 + 2*q + 484*q**2 + 428*q**2 + 426*q**2 + 438*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (34\/(-85))\/(36\/20)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*r - 2*r + 2*r as p*r + w and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/4 - 3115595*g**2\/4 - 606684431098*g - 1820046283212.\nAnswer: -(g + 3)*(g + 1557796)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 60869160?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.055 (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-243)\/(-84))*(-42)\/18*-20\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 26, 41, 3, -421.\nAnswer: -421, 1, 3, 26, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 239, 565, 1015, 1589, 2287, 3109?\nAnswer: 4055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) 0.2 (c) -3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 10:59 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/13)*o*o*o**4*o)\/(o**(6\/13)\/(o\/(o\/o**(1\/8))*o)))**(-2\/17) assuming o is positive.\nAnswer: o**(-773\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 8:28 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -b78?\nAnswer: -b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.004335 + 0.781315. Let m = c - -78.26002. Let p = m - 79. What is p rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 - 4*f**2 + 4*f**2 - 2*f - 8*f**2 + 2*f**2 + f**2 + (f + 0*f + f)*(f - 3*f + 3*f).\nAnswer: -5*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2488 - 1480. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-315)*9*(-15)\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 34. Let x be f(-12). Let w = x + 602. Is 36 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.081154 + -29.9517.\nAnswer: -29.870546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c - 17. Determine p(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccxqux. Give prob of picking 1 q and 1 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 19*a**2 + 33*a + 22. Let q be f(-16). Let c = 268 - q. Let b(w) = -w**2 - 1. Let p(u) = -4*u**2 + u - 6. What is c*b(h) - p(h)?\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11110003231 (base 4) to base 9\nAnswer: -2552601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, y: 1, t: 1, w: 1, m: 11, g: 2}. What is prob of sequence gt?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 10*t. Let j be l(11). Let a(y) = j*y**2 + 9*y - 7 + y**3 + 4 - 9. Calculate the remainder when a(-5) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m + 12 = 3*f, -2*f = 2*m. Solve 0 = h + 4*l - 13, -5*h - 2 + f = 4*l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 576?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10239904 is divided by 1186?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 take away -0.3755?\nAnswer: -47.6245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -4*d, 0 = 4*z - 9*z + d - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 339515 or 339507?\nAnswer: 339515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -3*b + 74, -20*a - 67 = -5*b - 24*a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 3*l - l)*(0*l**2 - l**2 + 3*l**2) + l**3 - 2*l**3 - 2*l**3 - 2*l**3 + 2*l**3 - 4*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1524608*g**3 - 2*g**2 - 14194549?\nAnswer: 4573824*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 3*o + 84 - 7 - 121 + 2*o.\nAnswer: -o + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-3\/4)*i*i)\/i**(2\/33)*i**(-2\/11)*i*i*i**(-3)*i*i)**(-2\/11) assuming i is positive.\nAnswer: i**(-727\/726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/28539 and -101\/7248.\nAnswer: 456624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**27)\/n*n*n**(-40) assuming n is positive.\nAnswer: n**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x + 10. Let j(w) = -3*w - 9. Let g(r) = 2*b(r) + 3*j(r). Is g(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47882, -102464, -157046, -211628, -266210, -320792?\nAnswer: -375374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-915)\/35 + 6\/42. Let r(x) = x**3 + 26*x**2 - 24*x + 35. Is r(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 274, 82, 0 in ascending order.\nAnswer: -45, 0, 82, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*m**3 - 232*m**2 + 420*m - 26?\nAnswer: -198*m - 464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 4 = 28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -11*a - 15. Suppose a*i = 8*i. Sort i, -50, -2 in decreasing order.\nAnswer: i, -2, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3268709.\nAnswer: 17, 47, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5402005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0 + 0)*(3 - 3 + 1)*(-388*g + 438*g - 409*g).\nAnswer: -718*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87636167 and 43567?\nAnswer: 2293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 9226.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12958730*h**2 - 4319564*h**2 - h**3 - 4319584*h**2 - 4319582*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13*-62\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -2404.\nAnswer: -480.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahlllallhllllhlalh. What is prob of picking 1 a and 1 h?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**2 + 715950*u + 715955 = 0 for u.\nAnswer: -1, 143191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -8181010 bigger than -8181009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u - 2. Let d be p(5). Suppose d = -3*k - 4. Let a be k\/(-10)*(0 + 5). Sort -4, 0, a in descending order.\nAnswer: a, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5174 - -22543?\nAnswer: 27727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 + 3*d - 2. Let g be c(-3). Let m = -17 - 7. Let f = m + g. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100709, -100693, -100677?\nAnswer: -100661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156241 (base 7) in base 6?\nAnswer: 3104102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2. Let q(o) be the third derivative of 0*o**3 + 0 - 1\/8*o**4 + 0*o - 27*o**2. What is q(y(n))?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i + 6. Suppose -5*z + 15 + 0 = 0. Suppose 3*v + z*y - 18 = y, 2*v - 12 = 4*y. What are the prime factors of j(v)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 71*u**2 + 8. Let f be s(4). Suppose 4*b - f = -64. Suppose -3*i = -3*l + b, i = -3*l + 4 + 266. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = 6. Suppose 4*y + 3*w = -2*w - 41, -d*y - 7 = -w. Let i(r) = -2*r**2 - 2*r + 1. Let f be i(1). Sort y, 5, f in ascending order.\nAnswer: y, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -16*j + 24. Let g(b) = -b + 1. Let o(r) = g(r) + h(r). What is the first derivative of o(i) wrt i?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 814, 872, 1026, 1324, 1814, 2544, 3562?\nAnswer: 4916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 49. Let d = 27 + x. Suppose -d*u = -2*s - 718, 552 = 3*u + s + 130. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2. Let t be (166 - -3)\/(s + 0). Is t\/(-9) + 6\/27 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316923208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*t + 64*t - 50*t.\nAnswer: 159*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 2316?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + -0.4. Suppose 64*z - 11 = -5*j + 72*z, 3*j - 5 = 4*z. What is the nearest to j in -0.3, u, -0.024?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 22 + 6*d**2 - 14*d**2 as g*d + s + b*d**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20402, 20381, 20360, 20339?\nAnswer: 20318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 769, -3, -48, 5 in descending order.\nAnswer: 769, 5, 4, 3, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -8, 18 = -3*z + 2*f + 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7c443 + 9?\nAnswer: -7c43a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1869 divided by -7\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/6*3 - 144\/32. Which is the third smallest value? (a) 0.1 (b) r (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(1508\/(-26))*10\/4*-4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24990.64 years to decades.\nAnswer: 2499.064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8.5 * 129\nAnswer: 1096.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 5, p: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k**3 + k)*(-2*k**2 + 2*k + k**2 - k) + (-3 - 2*k**2 + 3)*(-10*k**3 + 0*k**3 + 7*k**3).\nAnswer: 5*k**5 + k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2 - (-105)\/49)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409162 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 128180 <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-222)\/((-18)\/9)*160\/(-720))\/(2\/(-3)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10 - 4*p + 7 - 6. Let m(d) be the second derivative of -d**3\/3 + 3*d**2 - 6*d. Give 5*m(h) - 3*s(h).\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -849 + 1316. Let w = 832 - q. Suppose -4*z - 3*k = -w, 0 = -2*z - 4*k + 64 + 126. Is 1 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143 - 893*t**2 - 2*t - 287 + 143 + 2663*t**2 to v*t + d*t**2 + q and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 201229529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -p - 0. List the prime factors of p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1762285 and 245?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 4154 - 217*d**2 + 196*d**2 + 4157. What is z(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -145 - 1380. Calculate the common denominator of -73\/8 and ((-1)\/25)\/(10\/j).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 372 and 1178.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 5*o + 9*o)*(0 + 0 + 2*o) + 3*o**2 - 5*o**2 + 3*o**2 + (-4*o - o + 4*o)*(-2*o + 3*o + o).\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -160 - -165. Solve 5*h - 13 = 4*z + 2*h, -q*z + 4*h = 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o + 4*i + 13, 0 = o - 5*i - 2. Suppose 2*w + 3*j + 40 = 17, -j - 1 = -w. Put w, o, 8 in descending order.\nAnswer: 8, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21388495\/27 or -792165?\nAnswer: -792165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 3*t**2 + 3*t - 5. Let r be i(0). Let d be ((-14)\/(-7805))\/(1\/r). Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 10:39 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, s: 3, d: 2, g: 13}. Give prob of picking 1 g, 1 u, and 2 s.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*5\/(-150))\/(-3*(-1)\/(-63))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20002 = x - 4*y, -4*y + 1 = 17. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 29 - (-73 - -92).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c + 10. Let d be z(7). Let w = 981 - 972. Suppose w = 4*r - d. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73590 is divided by 2227?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-211 - -222)*(-2 + ((-4)\/(-10) - 18\/(-12)))?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 2*n = -20. Suppose 7*x**4 - 3 - x**5 - n*x**4 + x**2 + 3 - 3*x**3 = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48106 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.05 (c) -1\/349\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 222802122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47.2 - 44.2. Let f be (3\/8)\/(2\/8). Let h = -6 - -4. Put f, h, g in ascending order.\nAnswer: h, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*o + 2489 - 2413. Solve 3*k - 21 = 4*k + o*z, 2*k = 2*z + 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -8. Solve -y + 4 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*y + 64 - 64)*(-3*y + 2*y - y + (0 + 0 - 4)*(0*y + y - 3*y) + 3*y - 5*y + y) in the form k*y**2 + l*y + j and give k.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 570179290*f**6 - f**2 + 7377*f - 6504 wrt f?\nAnswer: 68421514800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c. Let g be 3\/(-1) - (-95)\/19. Let l(h) = 4*h - 2*h + 1 - 5*h. Let b(z) = g*l(z) + 5*n(z). Determine b(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmeqeeeemelqlbeebee. Give prob of sequence qbq.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 3*t - 4. Let h be q(-3). Let i(k) = k**2 + 6*k + 6. Let v be i(h). Let p = v - -7. Solve -4*g = g + p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133510 - 70319. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-14) - (-990)\/42. What is the greatest common divisor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13020 and 996016.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*((-1449)\/(-28))\/(-23).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 10:01 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/10))**(-26) assuming c is positive.\nAnswer: c**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6)*612\/544)\/((-15)\/(-25)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/6, 3, -5, -8\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1262351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -0.4, 2\/415, 2\/7, 3 in ascending order.\nAnswer: -5\/2, -0.4, 2\/415, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 6) to base 13.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -227*o - 2873. Let q(m) = -231*m - 2876. Let f(d) = 9*q(d) - 8*z(d). What is the derivative of f(p) wrt p?\nAnswer: -263","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.2 - 4.1. Is 0.1 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1485*a + 121616. Determine g(-82).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p - 4. Let t(j) be the second derivative of -j**3\/6 + 4*j. Let r(x) = n(x) + 4*t(x). What is r(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396311264?\nAnswer: 2, 12384727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtw when three letters picked without replacement from twwtgwtwwwt?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -619, -2239, -4849, -8449?\n\"Answer: -495*p**2 - 135*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 3:05 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13738 take away 1043302?\nAnswer: -1057040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*v**5 + v**4 + 1712*v**3 - 27*v**2 + 50 wrt v?\nAnswer: -240*v**2 + 24*v + 10272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 498 + -501. Sort -2, 4, a in decreasing order.\nAnswer: 4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-520) - (-49128)\/152490?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**5\/2 - 52*t**4 + 57049*t**3 + 212336*t**2 - 3861591601*t\/2 + 156208854788 = 0 for t.\nAnswer: -287, 136, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 3}. Give prob of picking 2 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14457 and 45822765?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664646 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-5\/7)\/(b\/(b**12\/b)))\/(b*b*(b**(-2)*b)\/b)**(-6\/13))**(-30))**(1\/22) assuming b is positive.\nAnswer: b**(-975\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 1:21 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**2 - 5*x - 7. Let i be h(-4). Let o = 78 - i. Let k(c) = 3*c**2. Let j be k(o). Solve -4*t + j*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66546 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 0)*-2*-5)**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 40*l. Let f(y) = 5007*y**2. What is f(a(m))?\nAnswer: 8011200*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -12*h**3 + h + 1. Let v be p(-1). Suppose 5*b - 2*b - 9 = 0. What are the prime factors of (b - (-28)\/v)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -495398 or -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*f**2 + 69*f**2 - 18 + 11 + f**5 + 12 + 5 + 16*f wrt f?\nAnswer: 20*f**3 + 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 + -0.2. Let y = -0.3 + 0.4. Let h = -0.27584 - -0.47584. Which is the third biggest value? (a) y (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 45403.86 and -0.18.\nAnswer: 45403.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/275885018 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15934, 47151, 78368, 109585, 140802?\n\"Answer: 31217*t - 15283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**3 - 20*p**2 - 10*p + 17. Determine i(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -3*z - 6*p, 578*p - 72 = 5*z - 581*p + 1156*p for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3893 divided by -5.\nAnswer: 3893\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j + 1 - 27*j - 2 - 98*j.\nAnswer: -111*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57348 = 2740*f - 39425 + 171137 for f.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2258 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 9*l - 4*r - 27 = -2*l - 71, 3*r = -3*l - 21 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 6, -1, -2, -327?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4 + 1)*(-1 + 2 + 2)*(-h + 5*h - h).\nAnswer: 54*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(1125))*2.\nAnswer: -150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*w**3 + 332*w**2 - 101*w**3 - 690*w**2 - 4*w**4 + 42*w**2 - 240*w.\nAnswer: -4*w*(w + 1)*(w + 4)*(w + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - n**2 - 2*n + 1. Calculate u(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24683.4 + 24078. Round c to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**4\/48 - 9*n**3\/4 - 85*n**2 - 190*n + 5. Determine t so that i(t) = 0.\nAnswer: -34, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 + (-3 - -5) + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*i**6 + 80713*i**5 + 7685686*i**2 wrt i?\nAnswer: 1560*i**3 + 4842780*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -180*x**2 - 3279*x**2 - 431*x**2 as h + n*x**2 + t*x and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 45 = 2*l, 0 = 4*l - 2*o - 2*o - 88. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9, 32, -1679 in ascending order.\nAnswer: -1679, -9, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-390)\/(-13)*6\/(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**6\/72 + 5*v**4\/24 - 2*v**3\/3 + 4*v**2. Let a(x) be the first derivative of h(x). What is the derivative of a(t) wrt t?\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -83\/4 (b) -20 (c) 17 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**5\/25 - 96*b**4\/25 + 1326*b**3\/25 - 1216*b**2\/5 + 8736*b\/25 = 0.\nAnswer: 0, 3, 4, 13, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1456 and (-23 + 9)\/(1\/(-5))?\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1236 or -1239?\nAnswer: -1236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(2299) + -5)**2*-3 - sqrt(2299)).\nAnswer: -1276*sqrt(19) + 27888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(136) - (sqrt(136) - -1*sqrt(136))) - sqrt(136)) + (1*sqrt(136)*1 - sqrt(136)))*2)\/(-2*(sqrt(200) - (sqrt(200)*2 + sqrt(200))*3)).\nAnswer: -3*sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27532 minus 1307909290?\nAnswer: -1307881758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-760)\/(-55) - ((-16)\/22)\/4 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z = 0. Suppose z*w = 2*w - 2*h - 22, 2*h - 8 = -3*w. Let r be (-3 - -56) + 1 + 0. What is the highest common factor of w and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 7*q + 6. Suppose 0 = 3*g - d - 8 - 8, 2*g = d + 10. Suppose 48 = -2*f - g*f. Determine j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -411, -525, -713, -975?\n\"Answer: -37*v**2 - 3*v - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 46374 divided by -15\nAnswer: -15458\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 2:54 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 376 and -1295.8.\nAnswer: -487220.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -3*q + 115 - 140, 0 = 46*q + 19*q for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -246967.2029693 and 11?\nAnswer: 246978.2029693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-5 + 17 + 4*d - 9)*(1 + 1 - 4).\nAnswer: -8*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 820165*t**3 + 5 + 820182*t**3.\nAnswer: 17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21863 + 109319\/5. Sort r, 0, -2\/205, 0.2 in descending order.\nAnswer: r, 0.2, 0, -2\/205","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - -87. Calculate the highest common divisor of 20 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5958 - 5954. Let y = 4 + -9. Let a(i) = 10*i**2 + 4*i. Let o(w) = 11*w**2 + 5*w. What is x*o(d) + y*a(d)?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2 - 96*n - 504 = 0.\nAnswer: -42, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85 + -74. What is the second biggest value in 1\/4, a, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -83*p**3 + 4*p**2 - p + 9. Let n be w(-3). What is the highest common factor of 42 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**(-14)*a)\/a)**12\/(a**(1\/14)\/((a*a\/a**(-8\/7)*a*a)\/a)) assuming a is positive.\nAnswer: a**(-2127\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by (2 + -3)\/((-12)\/(13 - -803))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + 2*z**2 - 2*z**2 + (-2 - z**2 + 2)*(-2*z - z + 4*z) - z**2 + 2*z**3 + z**2 + (-7*z**2 + 3*z**2 + 27*z**2)*(3 - 3 - 3*z).\nAnswer: -69*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 204*q**2 - 123*q + 1350. What is the tens digit of g(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/10 - (-12)\/15) + 13. Suppose -u - 3 = 2*b - t, 3*b = u + 8. Let c(d) = -28 + 31 - b*d - 3*d. Determine c(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.328495 micrometers in kilometers?\nAnswer: 0.000000009328495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58126.19ml in litres?\nAnswer: 58.12619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x + 20 = 0. Suppose 0 = -s - x*s + 20. Suppose 2*f = -s*i + 214, 2*i = f + f + 110. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 + 1.94. Let w = o + -3. Let t be (-8 - (-68)\/(-16)) + 12. Which is the biggest value? (a) t (b) 4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -554 - -550. Let f be (-72)\/21 - (s - 2 - -3). Which is the third biggest value? (a) 3 (b) -2\/3 (c) f (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 2 = 8*y. Let z(o) = 19*o - 29. Calculate the remainder when 11 is divided by z(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 320*r + 23655. Determine a(-204).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4993 divided by -4?\nAnswer: -4993\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 10 = 6*l. Suppose -5*k = 3*g + 18, 3*k + l*k + g + 16 = 0. Let j be (0 - 0\/k) + -2. Put 3, j, 1 in decreasing order.\nAnswer: 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1310, 5129, 11468, 20309, 31634?\n\"Answer: -3*c**3 + 1278*c**2 + 6*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**2 + 4*i - 4. Let b(o) = o**2 - o + 1. Let w(y) = 4*b(y) + c(y). Let d(k) = -55*k. Give d(w(z)).\nAnswer: 55*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (37141\/6 - -7) + 2*(-4)\/48 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 36*d**2 - 36*d - 1727. Calculate the remainder when j(-35) is divided by 249.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795*y + 12201 = 5230 - 13382 - 317 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z**2 + z - 4. Let t(i) = 25*i**2 + 6*i - 126. Let f(s) = 13*s**2 + 3*s - 59. Let m(r) = -13*f(r) + 6*t(r). What is 2*m(h) + 7*p(h)?\nAnswer: 4*h**2 + h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21 + 29*u**3 - 16 + u**2 + 37 wrt u?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.76, -1\/2, -71.\nAnswer: -71, -0.76, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -22*n**3 + 42*n**2 - 18*n + 22. Let t(p) = 9*p**3 - 17*p**2 + 7*p - 9. Let b(v) = 12*t(v) + 5*w(v). Solve b(d) = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51779 and 13087?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -159*h + 167*h - 1096. Let q = h + -134. Solve -5*s = -5, p + 3*s + 1 - q = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -195 - -191. Sort -0.01, -1\/3, m.\nAnswer: m, -1\/3, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 5.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1978965 by -659655.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4767870979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2999 - 1431. Is 27 a factor of (250\/75)\/(a\/783 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 2, -2, 5780585.\nAnswer: -4, -2, -1, 2, 5780585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3214057 divided by -9.\nAnswer: 3214057\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135 + -88. Let c = h + -46. Which is smaller: 4\/13 or c?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79*b**2*c*g + 20*b**2 - 2*b*c**2*g - c**2 - 2 wrt g.\nAnswer: 79*b**2*c - 2*b*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-318)\/(-12296))\/((-33)\/176)?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48573961 or -48573965?\nAnswer: -48573965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 95 = 3*m - 11, -33 = 2*m - 5*d. Is 6 a factor of 1\/(-6) + 2\/m*-362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abbaqqxbqbaaaqbbaqbq. What is prob of picking 2 q and 1 x?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*h + 29*h + 107 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000022619279872 to 7 decimal places.\nAnswer: -0.0000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (1 - -13) + -39 + 1 + 76.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/((-216)\/(-90)))\/((-85)\/(-68))*15\/2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85753, -171230, -256153, -340246, -423233, -504838?\nAnswer: -584785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(13 - (0 - -11)). What is the highest common factor of 68 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68172989.\nAnswer: 23, 797, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 699403418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4482)\/5229*35*1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1500 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 19796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421452092?\nAnswer: 2, 23, 251, 18251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29 - 4*j + 8*j + 5 + 26 + 57 wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 722045*k + 8664546. What is a(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -13*f**2\/2 - 13*f - 1. Let u = -1296 + 1290. Is p(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 7 = 3*p, -3*p = -3*m - 4*p + 11. Suppose 0*a = m*a - 20448. Let w = 30791\/6 - a. Calculate the common denominator of 61\/14 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3373240 and 12455040?\nAnswer: 161915520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 1. Let t = a - -28. Let h be 0 + 2 + t + 3. What is the greatest common factor of 75 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/33)\/x**(-12))\/((x*x**(-2\/29))\/x**12))**(3\/17) assuming x is positive.\nAnswer: x**(22019\/5423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t = -35 - 85 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -276\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*((-248)\/(-20))\/((-220)\/825)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292287 is divided by 36238.\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 100, 201, 304, 409, 516, 625, 736?\n\"Answer: h**2 + 98*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 3.9. Let n be ((-14)\/4*108\/(-168))\/(114\/16). What is the third smallest value in l, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 40126\/9 (c) 0.052\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 537436602*d**2 + 531471995.\nAnswer: 1074873204*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*p - 37353, -5*g = 42*p - 44*p - 62255. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ififffiififfi. What is prob of sequence fffi?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1112221 + -2333?\nAnswer: 1103222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 811624.\nAnswer: 7304616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 114 - 112. Let u be (j\/(-4))\/(4\/(-48)). Solve -5 = g - u*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 596605831?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(27)\/(sqrt(3)*-3)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 140, 134, 128, 122, 116?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 4)*(0*d + 0*d - 3*d) - d + 4 - 4 to u + l*d and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xssxxssxxsxx.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 65 = -5*k, -2*k = -0*k - 5*b + 3. Suppose h + 3*c + k = -h, 3*h - 3*c = -54. Let r = -10 - h. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -129*o - 7. Let p(h) = -123*h - 6. Determine -4*g(z) + 5*p(z).\nAnswer: -99*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48839*a + 10504*a**3 - 48839*a.\nAnswer: 10504*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30061 is divided by 235.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q + 6. Let p(x) = 88 - 32 - 2*x - 30 - 30. Let u(m) = -m**2 + 7*m - 2. Let c be u(5). Give c*p(t) + 5*f(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286096\/9 smaller than 142899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -683, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (2 - 3))\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*i + 8104 + 287288 = 0. Calculate the remainder when i is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.53911 rounded to 0 decimal places?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.149 and -6?\nAnswer: -0.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**19\/(b*b**(-4\/5)))\/(b*(((b\/(((b*b*b**(3\/11)*b)\/b*b)\/b))\/b)\/b)\/b)**(-3\/10) assuming b is positive.\nAnswer: b**(196\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*s + 780, 12*j - 10*j = -s + 520. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 19 = 19. Let j(y) = -y**3 + 4*y**2 - 3*y + 4. Let t be j(v). Solve 0*g - 13 = 5*x + 3*g, -3*x + t*g = 31 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 264966789, 1059867151, 2384701087, 4239468597?\n\"Answer: 264966787*g**2 + g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (8 + -6 + -2)) + -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 1\/4 (c) -1 (d) -0.06 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 118+-0.5\nAnswer: 117.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47678856*b**5 - 445*b - 48587 wrt b?\nAnswer: 953577120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -428 + 610. Let v be r\/(-39)*72\/(-14). Suppose o - v = -2*h + 36, h = 4*o + 30. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence teh when three letters picked without replacement from tthethhtt.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-25)*(-295)\/1239.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -7 (c) 8 (d) 0.03 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1287 divided by 1?\nAnswer: -1287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 39\/8, 0, -0.4, -0.3, -26, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -2332 (c) -18 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 4*q = -0*p - 26, 0 = -5*q - 35 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -394*(18\/4)\/(-3). Let a = -406 + w. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-8 - -1) - (-256 - 124). Solve -14*y = -429 + a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + x. Let a(z) = -7*z**2 - 44*z - 21. Let n(p) = a(p) - 3*t(p). Let f be n(-11). Solve f = -m - 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n**3 + 3*n + 3. Let q(g) = -g**2 + 20*g + 24. Let b be q(-1). Let x(f) = 54*f**3 + 14*f + 14. Determine b*x(d) - 14*s(d).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 242343 (base 8) to base 11\nAnswer: 57540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 36. Let d be (-1 + 3 - 1) + 2. Which is the nearest to -2? (a) 0.1 (b) r (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 12*o + 2. Let c be w(-11). Let y = -4 - 0. Let l = y + c. Do 9 and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 3*l - 9. Let v be s(-6). Find the third derivative of f**2 + f**2 - v*f**5 + 11*f**5 wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j. Let q(k) = 19*k. Let c(b) = 60*b + 7. Let m(v) = -40*v - 5. Let a(t) = -5*c(t) - 7*m(t). Let y(z) = 6*a(z) + 7*q(z). Give i(y(s)).\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + -136023005?\nAnswer: -136023022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -2334214223?\nAnswer: -2334214220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509 = -61*u + 467 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 84?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 587069541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -83*v + 2697 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 687836 by -783.\nAnswer: -687836\/783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36b - 1?\nAnswer: -36c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7647 - 2718. What are the prime factors of u?\nAnswer: 3, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-156))\/((-12)\/(-39))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -10. Let r = n + 12.5. What is the closest to -1 in 2\/27, 4, r?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 42*a - 482. Calculate u(14).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 5) + (-11 - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -33 - (-1072 - -1081).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**4 + y**3 + y**2 + y - 1. Let v(h) = -260*h**4 + 196*h**3 + 64*h**2 + 8*h - 4. Let p(m) = 4*b(m) - v(m). Factor p(d).\nAnswer: 4*d*(d - 1)*(8*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 + 1\/(-4) + 266\/(-56) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -82, -101, -128, -163?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -247, -489, -721, -937, -1131, -1297?\n\"Answer: g**3 - g**2 - 246*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a millennium in years?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 10*f - 8. Calculate the remainder when 51 is divided by p(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.801035t to micrograms.\nAnswer: 1801035000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.3 (b) -1 (c) -1\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710517.\nAnswer: 3, 163, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -2\/7749821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6229425 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**3*l**2 - 21*i**3*l - 391589*i**3 - 109*i**2*l**2 + 40*i*l**2 - 9*i*l - 4 wrt i?\nAnswer: 18*l**2 - 126*l - 2349534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/552 and 49\/276.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2169856.\nAnswer: 2, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6308 to one decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/94)\/(17829\/(-93107))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 0 + 18\/(-9) - 1. Suppose 0 = -r - 5*l + 12 + 3, o = -2*r - 2*l + 14. Calculate the highest common factor of 40 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1049*f**5*h**2 + 127*f*h**2 - 6*f*h wrt f.\nAnswer: -20980*f**3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m**3 - 46*m**3 - 8*m**3 - 10*m**3.\nAnswer: -43*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 - 4*b**2 + 2*b. Let f be o(2). Let w = 4 - f. Suppose 5*q - 2*a - 70 = 0, w*q + 5*q + 3*a = 45. Solve 3*j = -j - q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56.8 times -4\nAnswer: 227.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + z + 5 = 0, -v = -0*v - 5*z - 3. Let k be 303*(-3)\/45 - v\/10. Let l be 4\/5*k\/(-8). Solve -1 + 3 = -3*q - r, l*q + 8 = r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -359\/301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 4. Let f be s(-3). Suppose 0 = -y + f + 84. Calculate the remainder when y is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 202 + -113. Let i = s - 87. Factor 0*m - 2\/3*m**4 + 0 + 1\/3*m**3 - m**5 + 0*m**i.\nAnswer: -m**3*(m + 1)*(3*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -660077, -660082, -660093, -660110, -660133, -660162?\nAnswer: -660197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 80 = -15*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398862?\nAnswer: 2, 3, 22159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3358 is divided by 125.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 153242 divided by -6?\nAnswer: -76621\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4681 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 524*c - 4. Let q(t) = -131*t + 1. What is 9*q(v) + 2*x(v)?\nAnswer: -131*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*d + 158*d - 4 + 241*d + 157*d + 2 + 9 - 719*d.\nAnswer: -3*d + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o\/(o*(o*o**(3\/5)*o*o)\/o))*o))\/o)\/o*o\/(o\/((o*o**(2\/3)*o)\/o)*o)*(o\/o**(-2))\/o**(-3\/4) assuming o is positive.\nAnswer: o**(-11\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -89. Suppose -4*l = -l + p, 200 = 5*m + 5*l. Suppose -4*v = -7*v + 258. Calculate the remainder when v is divided by m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3520 and 1980.\nAnswer: 31680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-64823)\/249)\/(-1 - -1 - (-4)\/3). Which is greater: v or -194?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 2 = 5*f - 37 - 1 - 24, 0 = -3*f + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1972135003?\nAnswer: 59, 33426017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 14 = -b, -2*f - 26 = 72*b - 76*b. Sort -26, 2, 6, b, -1 in increasing order.\nAnswer: -26, -1, 2, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-161)\/483)\/((6\/2)\/18*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*h - 2109 = 5*h, -5*h = 2*u - 2101. Suppose -5*l - u = -8*l. Suppose -l = -3*j + 4*s, 0*s = 3*j - 3*s - 351. What is j rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3\/2 + 18*b**2 - 210*b + 784 = 0?\nAnswer: 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 23 = -3*n - m, n - 5*m - 19 = 0. Let p(r) = r + 4. Determine p(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2817 and 11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*x**5 - 20943*x**3 + 17*x**2 - 5873*x.\nAnswer: 300*x**2 - 125658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 351060864 a multiple of 2604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*k - 4*k + 16*k)*(-2*k**3 + 2*k**3 - k**3)*(3 + k - 6*k + 8*k).\nAnswer: -159*k**5 - 159*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 1281.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81951520.\nAnswer: 2, 5, 7, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10193 + -10193.3. Which is the closest to -9? (a) 0 (b) 1.3 (c) j (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16946, 16953, 16980, 17033, 17118?\n\"Answer: t**3 + 4*t**2 - 12*t + 16953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n. Let m(j) = 730*j. Calculate s(m(v)).\nAnswer: -4380*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = 4*h + 27, 3*h + 16*p - 18*p + 17 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m. Let n be c(-3). Let w(x) = -14*x - 42. Let s be 292\/(-365) - (-11)\/(-5). Let o be w(s). Solve d - n*d = o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-154)\/(-42))*30?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -6. Let s = -41 - -42.8. Let u = n + s. Put -0.5, -3, u in increasing order.\nAnswer: -3, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1900)*-3 + sqrt(1900))*-2 + 2)**2 + -2*((0 + sqrt(1900))**2 + sqrt(1900))*-4)*3.\nAnswer: 720*sqrt(19) + 136812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 69\/4 - 2\/8. Suppose 7*w - q = 81. Calculate the greatest common divisor of 35 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 4818?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99*w**5 - 969*w wrt w?\nAnswer: -1980*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 21\/(-12))\/((-15)\/10). What is the fourth biggest value in 3, 0.05, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -0.18 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y**2. Suppose 2*f - 3*b = b, b = -2*f. Let c(q) = -q + f*q - q + q. What is c(p(i))?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 6*z - 24 + 10*z.\nAnswer: 12*z - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49\/24 + -11\/8. Let x = -9.2 - -8. Let g = -0.7 - x. What is the third smallest value in g, a, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 6:32 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 7*y + 4. Let s be g(7). Suppose 4*d + 42 = -t - 2*t, -t = 5*d + 3. Let f be t\/15 + 1\/1. What is the biggest value in 2, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*i**2 + 143*i**2 - 17*i**2 to t*i**2 + r + n*i and give t.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11*17\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 3654*r - 18345.\nAnswer: 3*(r - 5)*(r + 1223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2*s = -0*s - 6, 0 = -4*q - s - 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2311 - 21003132?\nAnswer: -21012103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*x + 5 - 17, 0 = -4*o. Let q(d) = -x*d + 1 - 2*d + d. What is the units digit of q(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - c + 24. Let y(z) = 133*z + 4. Let i be y(-4). Let p be ((-2)\/4)\/(2\/i). What is the highest common factor of c and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2084 (base 10) to base 11.\nAnswer: -1625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 - 17*b**2 + 27*b**2 + 0*b**4 + 5*b**3.\nAnswer: -5*b**2*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 5 = -8*q. Let n be (-8)\/q*(-15)\/6. Suppose n*f + 39 = -2*u + 449, -214 = -u + f. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 119*n + 19567. Calculate the remainder when 1136 is divided by h(-162).\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304138 is divided by 241.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8.01. Let b = l + 2.01. Let i = -1.9977 + b. Round i to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*y - 575*c + 574*c, c = 5*y - 3. Solve -15*u + 74*u + 354 = y for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -5053*u**5\/60 + 11*u**4\/3 - u**3\/6 + 3*u**2 - 3*u + 18. Find the second derivative of s(k) wrt k.\nAnswer: -10106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8074?\nAnswer: 2, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m**2 + m)*(2 - m**2 - 2) - m**2 - m**3 - 9*m**4 - 3*m**4 + 216*m**4.\nAnswer: 206*m**4 - m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/h**(3\/2))*h)\/(h*h**(-25)\/h))**(-9) assuming h is positive.\nAnswer: h**(-513\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -22?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -488 + 722. Suppose -l = -4*k + 2*d, 9*d + 5 = 4*d. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139 - -136. Let w be 2\/(-24)*8\/(-6). What is the nearest to -2\/9 in 2, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8103 = x, -4*x + 0*x = 3*k - 24311. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 7. Let w(u) = u - 23. Let r be w(6). Let j be n(r). Solve 2*y - 3*i = -11, -2*y - 2*i - j = -4*i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180140964.\nAnswer: 2, 3, 3119, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2 - 7) + 3 + 13 - 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/21*6*52\/(-52)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - d = 1, 0 = -5*w + d + 3*d + 8. Solve -2*o = 5*y, w*o + o + 3*y = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -23. Calculate the highest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 13 = -2*s, -24 = -60*s + 64*s + 4*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 67.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 2:31 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416245 = 7*f + 10*f. Suppose 0 = 5*i - 10*i + f. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/8)\/(-1) - 9\/(-4). Factor 2*s**x - 9*s**2 - 4*s**3 + 3*s**3 + 8*s**2.\nAnswer: -s**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 1, 0, 56, -138?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - q**2. Let o = -37 + 35. Let b(y) = 8*y**3 + y**2 + 2. Let m(j) = o*b(j) - 2*f(j). Differentiate m(t) with respect to t.\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -459.21716?\nAnswer: 459.21716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1208*g**2 + 65*g**2 + 241*g**2 + 121*g**2 + 764*g**2 + 2354*g wrt g?\nAnswer: 4798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3306, 6613, 9922, 13233, 16546?\nAnswer: 19861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*r**3\/4 - 3165*r**2\/2 + 1269*r - 254.\nAnswer: -(r + 254)*(5*r - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121330 and 9927.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**2 + 12*r**2 - 2*r**2 - 2*r**2 to n*r + b + q*r**2 and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = -3. What is the second derivative of 0 + 24*v + 0 + 55*v**4 - 76*v**q wrt v?\nAnswer: -252*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 188*d**2 + 2*d - 4. Suppose 5*j = 3*q - 18, q + 4*j - 3*j = -2. What is the units digit of k(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -22. Let f(a) = a**2 - 10*a + 18. Let r be f(z). Suppose 665 = r*l + 3*l. List the prime factors of l.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 28. Let i(z) = -17*z + 65. What is the units digit of i(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 706207*a**4 - 6076*a**2 - 4*a - 8 wrt a.\nAnswer: 16948968*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109 - -108.82. Let k = 176 - 171. Put b, -1\/3, k, -4\/3 in descending order.\nAnswer: k, b, -1\/3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 7*t + 1. Let o(i) = i. Let c(a) = -k(a) - 2*o(a). Let w be c(4). Suppose -x + 176 = w*b, 2*x + 2*x - 3*b = 779. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -9 - (-1 - (3 + -2 - -1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**11\/t)\/t**(-12)*t**2\/(t*t\/(t*t\/(t\/t**(1\/14))*t*t)*t) assuming t is positive.\nAnswer: t**(337\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/421218 and 91\/20058?\nAnswer: 421218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 + 8*c**2 - 20*c - 7. Let v(u) = -u**3 + 3*u**2 - 7*u - 2. Let t(z) = -3*q(z) + 8*v(z). Let r be t(-4). Is (-1)\/1*r\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 8:07 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -40, -96, -186, -310?\n\"Answer: -17*p**2 - 5*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3118444, 3118415, 3118386?\n\"Answer: -29*c + 3118473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20952519487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51952018 to the power of 1\/3, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*z = 690 - 2410 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -61 - 21 - 24\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000021492355 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, -7, -32, -79, -154, -263?\n\"Answer: -s**3 - 2*s**2 + 4*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times -27.3393\nAnswer: 2.187144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8372, -8370, -8368, -8366, -8364, -8362?\nAnswer: -8360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30449 and -0.15.\nAnswer: -4567.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/52 - 113\/156. Let g = 5 - 3. Let p be -5 + 3 + 4\/g. What is the third smallest value in p, c, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(13\/6)*a\/((a*a**17\/a)\/a))\/(((a\/(a*a\/(a*a*a*a**(2\/19)*a*a)))\/a)\/(a\/a**(-20)*a)))**(-43) assuming a is positive.\nAnswer: a**(-29713\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212093 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 972 and 3015468?\nAnswer: 9046404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3153 and 468358181.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -5*j**4\/2 - 19*j**2\/2 + 26*j. Differentiate n(i) with respect to i.\nAnswer: -60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/16 of a day?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - l**2 + (-1 + 1 - l)*(-2*l + 0*l + 0*l) + (-14 + 14 - 5*l**2)*(-6 - 6 + 9).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 24.02. Sort 2, b, 3 in decreasing order.\nAnswer: 3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 + 86 = 8*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4, 9, 10, -7, -48, -119, -226?\n\"Answer: -s**3 + 20*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.0987116 plus -20074.9?\nAnswer: -20041.8012884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205512 (base 7) to base 10.\nAnswer: 35583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1174\/63 + 132\/7. Let q = 118\/45 - 12\/5. Find j such that -b*j**3 - q - 2\/3*j - 2\/3*j**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from {r: 1, g: 1, m: 1, d: 4, i: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppvvvpvpvvvppp. Give prob of picking 2 v.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 5:22 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 514 + -336. Suppose i - 55 - 109 = -3*p, i - 4*p = h. Suppose 0 = -v - 4*v + i. Round v to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 19 = -3*q + 5*k, 0 = 2*q - k - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -635?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1200.192 meters?\nAnswer: 1200192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Let w(q) = -q - 5. Let z be w(-8). Suppose 4*p - z = 1. Which is the third smallest value? (a) -0.1 (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*d, 168*d = -3*r + 163*d. Suppose 0*k = 3*k. Solve k*z - z = r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + (-32 - -34 - 11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**3 - 3*o**5 + 0*o**3 + 31*o**4 - 2 + 2*o**3 + 0*o**3 + 6*o**5 - 33*o**4 - 14*o**5 + 23*o**5 - 18*o**5 + (-5*o**2 + 3*o**2 + 3*o**2)*(1 - o**3 - 1).\nAnswer: -7*o**5 - 2*o**4 + 2*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67 or 7.87?\nAnswer: 7.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47860?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u**2. Let d(x) = -2232*x - 2210*x + 4485*x. Give d(v(q)).\nAnswer: -215*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367, 362, 347, 316, 263, 182, 67?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 12 = -6*z. Suppose z*y = -y + 152. Suppose 3*h + 2 = y. Calculate the least common multiple of h and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24397 + -1?\nAnswer: -0.75603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(400) + sqrt(25) + (sqrt(25) - (sqrt(2025)*-2 - sqrt(2025))))\/(sqrt(500) - -3*2*sqrt(500)))**2.\nAnswer: 5\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zccgcvcx. Give prob of sequence vxgc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -120010012 (base 3) to base 12\nAnswer: -6465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48893554*u**4 + 2*u**3 - 296918043*u?\nAnswer: 586722648*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 22*f + 1. Let x(n) = -5*n**2 - 154*n - 7300. Determine 7*a(r) - x(r).\nAnswer: -2*r**2 + 7307","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5963*k**2*z**3 + 237*k**2*z**2 + 2*k**2 - 2*k*z + z**2 wrt z.\nAnswer: 35778*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*((t*(t*t**2)\/t)\/t)\/t*t)\/((t\/t**(-5))\/t))\/((t\/(t*t**(-1)*t))\/t**3))**(14\/11))**11 assuming t is positive.\nAnswer: t**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(2\/9)*(w*w*w**0*w*w)**(-33) assuming w is positive.\nAnswer: w**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 27157385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 30*w = 8*w + 144 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18586226 less than 0.0617275?\nAnswer: 18586226.0617275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m. Let n(p) be the third derivative of p**4 - 4*p**2. Give y(n(b)).\nAnswer: 48*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*k**2*r**3 - 36*k**2*r - k**2 - 25*k*r**5 - 45*k*r wrt r.\nAnswer: -330*k**2*r - 500*k*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -3 - (11 - 16). Solve 0*k = -k - b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -316448 in decreasing order.\nAnswer: -1, -2, -316448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0043413 to four decimal places.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y - 58. Let x be f(-8). Calculate the highest common factor of 938 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*g**4 + 14466*g**2 - 11902896*g.\nAnswer: 1632*g**2 + 28932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 0 - 3\/2*s**3 - 1\/12*s**4 + 11*s**2 + 0*s + 1\/120*s**6 + 1\/10*s**5. Determine m(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, n: 2, r: 4, p: 12}. What is prob of picking 1 r and 1 n?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102 + 2868 + 2744 + 224 - 1180)*(-8*a + 3*a - 2*a + (2 - 2 + 2*a)*(-3 + 4 + 1) + 4*a + 0*a - 2*a).\nAnswer: -4554*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-483)\/(-198) - (-4)\/(-6). Let c = -102\/11 + z. What is the common denominator of c and -97\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -2. Let n = 10 - v. Let d = -0.2 + 0.1. Which is the nearest to n? (a) -3 (b) 1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.024 - -0.006. Let p = 0.33 - k. Which is the nearest to 4? (a) -9 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1268*o**2 + 14*o + 47. Let c be v(-3). Suppose -2*h + 5*j + c = -8680, -5*j = -4*h + 40219. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81866 (base 11) to base 6\nAnswer: -2321123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**4\/6 - 35*i - 86. Let o(t) be the first derivative of f(t). Let n(h) = -46*h. Give o(n(d)).\nAnswer: 4232*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 297 + -118. What is the remainder when r is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 32, 50, 68, 86, 104?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7 - 2 - 6*y**2 - y - 1 + 4 + 3*y**3 + 1. Let p(s) = -3*s**3 + 7*s**2 + s + 6. Give -5*p(l) - 6*x(l).\nAnswer: -3*l**3 + l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -58*g**3 - 6*g**2 + 3*g - 2. Let i(d) = -59*d**3 - 7*d**2 + 3*d - 2. Let p(w) = -7*b(w) + 6*i(w). What is the units digit of p(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -158839.\nAnswer: 31767.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*d + m, d + 2*d = -m - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10808 - 10808 + 78*i)*((0*i + 4*i - 2*i)*(2 - 6 + 1) - 4*i + 2*i + 0*i).\nAnswer: -624*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 1\/18*z**3 + 1\/120*z**5 - 1\/24*z**4 + 0*z**2 + 0 - 10*z. Suppose x(s) = 0. What is s?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -774585 divided by 16\nAnswer: -774585\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 180 - 125. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 11 = -37. Let v be (-80)\/12*24\/(-5). What is the greatest common divisor of v and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 4674 = -756. Suppose 2*u = -4*w - w + c, 0 = w + u - 108. Calculate the smallest common multiple of 16 and w - (-4 + 21\/3).\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + ((-4)\/(-2) - 2). Suppose s = -3*b - 0 + 6. Let h(c) = 0*c + b*c + 0*c. Let i(f) = f. Calculate i(h(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 430730627001 plus 5?\nAnswer: 430730627006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 798980.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (132\/(-54))\/(28*22\/132)*-9\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 73?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 163810, 163722, 163632, 163540?\n\"Answer: -x**2 - 85*x + 163896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17227232917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 75 = 7*d. Suppose -10 = 2*l - 2*n + 4*n, -n = 5. Suppose -9 = -m - 2*m, 5*j + 3*m - 309 = l. Calculate the highest common divisor of j and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6) - (-4)\/6. Let f(p) = -p**3 - 24*p**2 - 7*p - 37. Let k be f(-24). Let x = k - 143. Which is the smallest value? (a) x (b) y (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -2669, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-24) + 290\/12. Let q be (r\/(-42))\/(1\/2). Is 0 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 0 - 4)\/(10 + -12). Solve -p + 5 = g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -823 + 823. What is the nearest to t in 2\/65, -0.5, -0.1, -3\/2?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 3, p: 2, u: 1}. Give prob of picking 1 u and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/72 and 64\/816111?\nAnswer: 6528888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, 0.3, -0.11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1707949 * 7.\nAnswer: 1.1955643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 741195*h**3 + 36623927310*h**2 + 603171662396900*h - 1809844622549160.\nAnswer: 5*(h - 3)*(h + 49414)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 6*i**2 + 6*i. Let n be (-5)\/(7\/(-7)) + 65. Let q = n + -57. Let h(r) = -2*r**3 - 13*r**2 - 13*r. Determine q*d(m) + 6*h(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jaedaeaejeelaeedldj. What is prob of picking 1 a, 1 e, and 1 d?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82 + 90. Suppose 11 = z + 4*y, 4*z + 4*y = -z + 23. What is the remainder when r is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153299?\nAnswer: 41, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1428584428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (0 - 2)\/(-1). Suppose 0 = l - 2*o + 2, 2*l = 7*l + 4*o + 10. Is (l\/g)\/((-2)\/152) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 472, 911, 1364, 1837, 2336, 2867, 3436?\n\"Answer: p**3 + p**2 + 429*p + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -32707 divided by 32707\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 4*u + 5. Let x be a(-5). Let d be 4 + (0 - 3) + x. Solve 0 = -l - d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.0052, -5, -2\/7, -0.4 in decreasing order.\nAnswer: 7, 0.0052, -2\/7, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499*t + 4655*t - 105835 = 72318 + 91987 for t.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -730, -2050, -4908, -10072, -18310, -30390, -47080?\nAnswer: -69148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 13*c**2 - 13. Let j be a(-13). Let q = -11 - j. Put -1, -5, q in increasing order.\nAnswer: -5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-621)\/36)\/(12\/(-1264)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1765\/46 - -2090\/23. Suppose 45 - 5\/2*c**2 - 5\/2*c**4 + f*c - 25\/2*c**3 = 0. Calculate c.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**3 + 13*k**2 - 16*k - 27. Let f be p(-5). Suppose 0 = -2*s + s - 3*w - 7, s - 5*w - 25 = 0. Solve s = -2*q + f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(3*o - 2*o - 3*o) + (25 - 25 - 5*o)*(4 + 3 - 5) in the form h + i*o and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -0.18, 0.3, -0.433?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*c**3*s**3 - 132*c**3 - c**2*s**3 - 2*c**2*s - c*s**3 wrt s?\nAnswer: -90*c**3*s - 6*c**2*s - 6*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 55351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 0, -32, -4, -2, 3, 1 in descending order.\nAnswer: 87, 3, 1, 0, -2, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 275*n + 2 - 169*n as y + c*n and give c.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3572698\/36344 + -1 + 0. Let o = f - -4803\/413. Let x = -1080\/11 + o. Find the common denominator of x and 91\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 30*q - 9900. Let p = -329 - q. Sort -3, -2, p, -16.\nAnswer: -16, -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -21721\/2 (b) -0.3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -66607.2078 to the nearest 100.\nAnswer: -66600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**5 - 8*a - 4*a**2 + 4*a + 3*a + a**5 + 0*a**5 + a**5 + (2*a**4 - a**3 + a**3)*(a + a - 4*a).\nAnswer: 2*a**5 - 4*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -2\/20836249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135.63 - 135. Let p = v + -0.6259. Round p to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -713 * 0.047\nAnswer: -33.511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.073 + 1.207. Let z = -0.44 + n. Round z to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 6:22 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -893 = 14*r + 2383. Are -233 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3 - 3)*(-2112584*h + 5055*h**2 + 2112584*h).\nAnswer: 5055*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3744605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9 + (-3 - 99\/81). Put 1, 0, v in decreasing order.\nAnswer: 1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380200 to the power of 1\/2, to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 5)*(-3 + 4 - 3)*(2*c**3 - 2*c**3 + 2*c**3).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3931*i**2 - 17*i - 13. Let a be z(-1). Let t = -3 + 6. Let y be (9748\/6)\/((-22)\/a) - t. Round y to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 2*v + 3. What is y(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c33 (base 14) in base 12?\nAnswer: 13819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 562641 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -372 and -2.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1001011110100000010010?\nAnswer: -1001011110100000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.2 - 3. Let n = 3 + -17. Let m = -10 - n. Which is the third biggest value? (a) 5 (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/(-8))\/(2 + 973\/(-488)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-122) - (-86163714)\/(-22509). Which is smaller: d or -3829?\nAnswer: -3829","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -773661*o - 17836. Let m(v) = 13573*v + 312. Give -6*a(u) - 343*m(u).\nAnswer: -13573*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4836 + -4831. Which is the smallest value? (a) k (b) 14 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + c?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 4*s + 5*l - 12, -s + 2*l - 10 = 0. Let q(v) = v + 1. Let j be q(s). Let k = 1 + j. Is 0 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/1435 + 34719\/2870. Find the common denominator of d and -99\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2. Let t(k) = -10*k + 5*k + 0*k. What is t(p(c))?\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-52)\/5*(-1105)\/884. Let v(a) be the third derivative of -a**4\/12 + 19*a**3\/6 + a**2. Determine v(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94612?\nAnswer: 2, 7, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/(27\/45). Let t be 2 + ((-11)\/(-10) - 3). Which is the third smallest value? (a) -5 (b) o (c) t (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/(-21))\/(-10) + (-103)\/(-21). Solve -d + 1 = 4*p - 15, d = -x*p + 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -9. Let n = 4163 + -4140. Suppose 37 = q*m - n. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 - 608\nAnswer: -606.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*r**2 + 104*r + 90*r + 2 - 232*r wrt r.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -60408 and -60408 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*z + 6698 + 4*z**2 + 210*z - 20080 + 6686 + 6696.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 841 + -a6770?\nAnswer: -a5a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 8 + 8. Solve -2*i - i - 15 = k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1206328 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a + 3 = -3*m, 0 = 3*a - 3*m - 3. Let i(c) = -2*c - 5*c**2 + c**3 + a*c**3 - 2*c**2 + 7 + 9*c. What is the tens digit of i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381351 + -35347198?\nAnswer: -34965847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -577*q - 561*q + 1127*q + 5 in the form a*q + f and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/344 (b) 1 (c) -0.148 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9584591*r*y**2 + 4*r*y - r - 143*y + 279 wrt y?\nAnswer: -19169182*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81230?\nAnswer: 2, 5, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 2\/7 (c) 0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/1804 and -57\/287.\nAnswer: 12628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 3*n = 5*u + 6, -5*n + 2*u = -16. Suppose -5*x + 15 + 0 = 0. Suppose j - 4 = x*j. Put 3, j, n in decreasing order.\nAnswer: n, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 32 = 4*i, 3*i - t + 18 = -2*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -201, -308?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 - 185*a**2 - 274*a - 92. Give x(-91).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 3:51 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*h + 16 = 141*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o - 41*o - 1028 = 6755 - 1843 for o.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-8))\/((-6)\/(-16)). Let n = g + 7. Let p be 0 + (-2)\/(-3)*n. Solve -3*k - 11 = -p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, 15, -1, -2, 1 in ascending order.\nAnswer: -2, -1, 1, 15, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28 and 1876473.\nAnswer: 52541244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 31912400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28341*m = -28338*m - 44121. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-16) - 108\/16. Let x(a) = 14*a**2 + 13*a - 8. Is x(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**4\/12 - 5*j**2. Let i(z) = 52*z**2. Calculate i(l(p)).\nAnswer: 208*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15 - 14 - (1 + -1024). Is 0 - 3 - (27\/9 - f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.037, 1\/38, 0, 5, -1?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -847.95545557443 - 0.04448072557. Let r = 848 + t. Round r to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1025 + 1024.8993. Round d to three decimal places.\nAnswer: -0.101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7716 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -462 + 881. Let w = 421 - p. Solve w*z - 4 = -3*y, -z - 4*y + y + 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.142547 times 0.4\nAnswer: 6.8570188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*1*97716\/31614?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1466, 1472, 1482, 1496, 1514?\nAnswer: 1536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1.8, 1, -1, -4, 820?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 31*w - 222. Determine m(37).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1311 = 676*t + 22349 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 6:48 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1347 and 3807.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/146837 or 19?\nAnswer: -10\/146837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -3\/5 (c) 161 (d) -22 (e) 2 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-9) + 7102\/3. Is 18 a factor of k\/65 - 4\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 50 = -b + 2*b, 0 = -4*b + 16. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 212376, 849482, 1911318, 3397884, 5309180, 7645206, 10405962?\n\"Answer: 212365*n**2 + 11*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 3*w = -14, -2*v - 1 = 259*w - 262*w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136\/3 + -45. Factor -c + t + c**2 - 1\/3*c**3.\nAnswer: -(c - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upjp when four letters picked without replacement from {j: 2, x: 3, k: 1, r: 1, p: 3, u: 3}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*0.13.\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) 4 (c) 2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33763.2818 rounded to zero dps?\nAnswer: 33763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5746 is divided by 1903.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -12223 != -12222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3*m**2 - m**2 + 2*m**2 + m**2.\nAnswer: 5*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2251203 (base 8) to base 15\nAnswer: -c104c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -0.4. What is the biggest value in 1\/3, p, -0.06?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, x: 2, f: 2, c: 4}. What is prob of picking 1 f, 2 c, and 1 j?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5. Suppose -3*x - 10 = -4*j, -t*j = -2*x - 0*x. Which is the third smallest value? (a) x (b) 5 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*u - 5*p + 5, -5*p = 2*u - 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 14*a**2 - 2*a - 4*a**3 - 39*a**2 + 51*a - 33. Let g(p) = 2*p**3 + 12*p**2 - 24*p + 16. Let c(i) = 13*g(i) + 6*x(i). Determine b, given that c(b) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2054*f + 1007*f + 1017*f + 144 as t*f + z and give z.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3421050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -517696.\nAnswer: 9\/258848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6531 is divided by 814.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -9. Let x be -3 - (4 + b)*-1. Solve 0 = 3*c + 6 - x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 224\/9, -33, -1.2, 2\/9 in increasing order.\nAnswer: -33, -1.2, 2\/9, 224\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.163.\nAnswer: 0.489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211544 - -5?\nAnswer: 211553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42399103 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + 5 + sqrt(208) - ((sqrt(208) + -2 + sqrt(208))*-3 - sqrt(208) - (sqrt(208) + 1*sqrt(208)*-1 - sqrt(208))))**2.\nAnswer: 504*sqrt(13) + 10273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5770 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 445346, 445336, 445326, 445316, 445306?\nAnswer: 445296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/29130 and 143\/116520.\nAnswer: 116520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 26*d**2 + 38 + 3*d**2 - 21.\nAnswer: 29*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 4*f**2 + 6*f - 1. Let h be l(5). Let v(y) = y**2 - 2*y - 4. Let i be v(h). Solve 0*r = i*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**35*h*h\/(h*h**45*h*h*h)*h)**(5\/2) assuming h is positive.\nAnswer: h**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 74 = -493. Suppose 2*j + 10 = 5*t, 2*t + 6 = 5*t + 3*j. Let q be 10 - (2 - t) - 1. What is the highest common divisor of q and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**4\/6 + 4*m**3\/3 + 6*m**2 + 30*m. What is the least common multiple of p(-4) and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7645 - 17?\nAnswer: -7661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 0*k + 2*k + (-3*k - k + 2*k)*(-3 + 6 - 2) - 4*k - 2*k + 5*k - 27 + 27 + 8*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-56))\/(2\/(-4)*-8)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2187)\/81*(-22)\/6237?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 10*s = -11*s + 26764, 17834 = 2*m + 5*s. What is the thousands digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 424 a factor of 463432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 1. Let w be ((-6)\/3)\/((-2)\/7). Suppose 3*y - 1 = -5*a, 6*a - w = -y + a. Are o and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9549934 is divided by 4509.\nAnswer: 4381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10914757, 10914758, 10914759, 10914760, 10914761, 10914762?\nAnswer: 10914763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1193 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2144 and 5963?\nAnswer: 190816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -154217, 1, 40 in decreasing order.\nAnswer: 40, 1, 0, -4, -154217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5332 (base 10) to base 5\nAnswer: 132312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2264, -1545, -5354, -9163, -12972?\nAnswer: -16781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94*r**3 + 531138 - 531138 + r**4 + 16*r to the form v + o*r**2 + i*r**4 + w*r**3 + j*r and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 53658259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -18 + -3 + 4\/1. Let o(q) = 3*q**3 - 6*q**2 + 17*q + 17. Let f(t) = -t**3 + 2*t**2 - 6*t - 6. Calculate v*f(s) - 6*o(s).\nAnswer: -s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + -1*sqrt(77) + sqrt(77))*-3)\/sqrt(11)*1)**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1753570?\nAnswer: 2, 5, 7, 13, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6791?\nAnswer: 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2050118347.\nAnswer: 2050118347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 161 + 41 + -1 + -2. Let c(x) = 11*x + 2. Let q be c(4). Let i = u - q. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(3\/(30\/28) - 3). Which is smaller: h or -5\/154?\nAnswer: -5\/154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**4\/7 - 116*s**3\/7 - 412*s**2\/7 - 300*s\/7 = 0.\nAnswer: -25, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-7 - (2 + -13) - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 3\/2*b**2 - 3*b + 5 + 4\/3*b**3. Let y(v) = -v**2 - v + 1. Let n(w) = -2*h(w) - 6*y(w). Let a(u) = 2*u. Calculate n(a(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*((sqrt(176) - 1*sqrt(176)) + 1)*4)**2*3.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 20*a**3 + 4*a**2 - 11 - 11*a**2 + 9*a**2 - 15.\nAnswer: -20*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10546 (base 9) in base 8?\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 279 - 35*p - 279 in the form g + r*p and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/16835 and -23\/1456.\nAnswer: 269360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 201.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3962082km to nanometers.\nAnswer: 396208200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46, 28, 102, 176, 250, 324?\n\"Answer: 74*n - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-21) + 304\/(-14). Let c be 2\/(-4) + (-77)\/s. What is the third derivative of 1 + 6 + 12*h**c + 6*h**2 - 7 wrt h?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4408.446 tonnes in grams?\nAnswer: 4408446000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/15*(3 - 1 - -3). Let j(n) = -u*n**2 - 4*n + 29*n**2 - 6*n**2 - 14*n**2. Let i(q) = -q**3 - 3*q**2 + 4*q + 1. Calculate -2*i(a) - 3*j(a).\nAnswer: 2*a**3 + 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1502 + 1491. What is the smallest value in -1, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 22 = -5*a, -u - 2*a = -4*a - 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**5\/120 - 5*p**3 - 22*p**2. Let u(c) be the first derivative of j(c). Let m(i) = -14*i + 4. Determine u(m(k)).\nAnswer: 14*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v**3 + 14. Let m(o) = 11*o**3 - 29. Determine -6*m(j) - 13*n(j).\nAnswer: -j**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38750*f**5 + 17295*f**5 + 17651*f**5 - f + f + f**5 + 3*f**3 - 3*f**3 + f**5 + (-f**4 + 0*f**4 + 3*f**4)*(-3*f - f + 2*f) + 0*f**3 - f**5 + 0*f**3.\nAnswer: -3807*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0 = -12. Suppose 0 = t*w + w. Factor w + 1\/3*v - 1\/3*v**2.\nAnswer: -v*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 3387, 6488, 9589?\nAnswer: 12690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (19 - -1)\/(26\/65)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/12*1\/5\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 0*n**5 + 17\/6*n**6 - 16\/3*n**3 + 0*n + 29 + 0*n**4 + 0*n**2. What is the third derivative of k(w) wrt w?\nAnswer: 1020*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**5\/60 - h**4\/6 - h**3\/3 + 2*h**2. Let y be f(4). Calculate the remainder when y\/4 + (-87)\/(-6) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102) - 2*sqrt(102))*6)\/((sqrt(6) - sqrt(18)\/sqrt(3) - sqrt(6))*-2).\nAnswer: 7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4664284*i**2 - 4664286*i**2 - 2 + 9328545*i**2 - 152*i + 152*i + 2.\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 10:18 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 193*j**2 + 6*j - 14. Let g be m(5). Let h(i) = -i - 19141. Let t be h(0). Let o = g + t. What is o rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1848277 > -1848392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 72*v + 61 = -67*v, 5*h - 20 = -0*v + 5*v for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {f: 9, d: 4, u: 2, b: 4, l: 1}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -329, -1 in ascending order.\nAnswer: -329, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 61 + 141)*(0 + g + 0)*(2 - 2 - 1) as z*g + o and give z.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37239363 and 6502111?\nAnswer: 409632993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 8:49 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*m - 100*m + 1309*m**3 + 1271*m**3.\nAnswer: 2580*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (4 - (1 - (3 + -2 + -4)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b + p = 2*b + 69, 0 = -3*p + 1 + 26 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -18, 0, 17, -411 in decreasing order.\nAnswer: 17, 0, -1, -18, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + v - 11 = -0*v, 3*f + 4*v - 4 = 0. Let b(i) = i**3 - 7*i**2 - 8*i - 2. Let g be b(f). Let s(r) = -16 - r + 9 + 3. Calculate s(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -39.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 36*h**2 - 64*h - 118. Let x be m(34). Solve x*r = 35*r - 51 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-2) - (3 + -9 + 9). Solve 0 = u*v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/87 and 89\/19372?\nAnswer: 58116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1393754 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, z: 5, s: 4, v: 1}. Give prob of picking 1 v, 1 m, and 2 s.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 5*y + 5. Suppose 22*i - 32 = 14*i. Let t be f(i). Solve o = 4*o + t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 x when four letters picked without replacement from {o: 3, x: 2, k: 10}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 31?\nAnswer: 20\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h**2 - 2. Let f(o) = -36598*o**2 + 7572. Determine -f(p) - 3786*l(p).\nAnswer: -1262*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 r, 1 k, and 1 l when four letters picked without replacement from rkttlrlltrtfttrt.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 4:38 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 12*d + 19*d - 29*d - 122. Let r(y) = -3*y + 8. Let b(m) = 2*m - 6. Let v(g) = 4*b(g) + 3*r(g). What is n(v(w))?\nAnswer: -2*w - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 9. Let g be m(6). Let x(r) = -r**2 - 2*r + 5. Let k be x(g). Let t be k + 0 + (1 - -2). What is the nearest to -1 in -0.2, t, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5010 != -4977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1496 = -4*y + 2*x, -9*x + 10*x = -3*y + 1122. Does 34 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(2\/3)*b)**47*(((b\/(b\/b**(-1)*b*b))\/b)\/b*b)**19 assuming b is positive.\nAnswer: b**(289\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (10 + (-18 - -10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/152 in 0.4, -0.3, -2, 143, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 64759*k - 2653433. Calculate u(41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.001 and 5884?\nAnswer: 5.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 131715 and 11466?\nAnswer: 167804910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(88)*-3*-2)\/(2*sqrt(512) - 2*2*sqrt(8)).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 4*r + r)*(69 - 69 + 57*r)*(3*r**2 - 3*r**2 - 5*r**2)*(2 + 1 + 0).\nAnswer: -1710*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 0*b + 1\/12*b**5 + 2*b**2 + 5\/24*b**4 + 0 + 0*b**3. What is the second derivative of n(w) wrt w?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**5 + m**5 + 2*m**5 + (0 + m**2 + 0)*(m - m + m**3) - 4*m**5 - 3*m**5 + 2*m**5 + (-m + m - m)*(3*m**4 - m**4 - m**4) + 2*m**5 + 3*m**5 - 3*m**5.\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.561 minus -10?\nAnswer: 10.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 18. Let y = u - -14. Let k = -3 - y. Does k = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 877346500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 36 = -w, -48*l + 105 = -5*w - 53*l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -618648*f**2 + 2*f*t + 1196699*t wrt f.\nAnswer: -1237296*f + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 1 - 11. Solve -6 + 4 = a*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/10708 + 63441\/2880452. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45.6 - 45.7. What is the nearest to 1 in 0, r, -0.2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 4 = 5*c. Let a = 25 + -22. Let s(o) = -1 - 1 - a + c*o**2 + 0. Let v(r) = 9*r**2 - 9. What is 11*s(p) - 6*v(p)?\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -3. Let t = -7768 + 7769. Solve -t - q = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 5*t**2 + 4*t + 5. Let x be v(-4). Let l = x + 15. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/14022 and -197\/1659270.\nAnswer: 4977810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 - x - 2. Let w(h) = -8*h**2 - 5*h - 9. Give 9*a(g) - 2*w(g).\nAnswer: -2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -4.95. Let b = r - 0.05. Let a = 125 - 140. Which is smaller: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 2*g - 3*g)*(g - g - 2*g)*(-3 + 3 + 1 + 20 + 28 - 12 + (-2 + 0 + 4)*(3 + 1 - 2)) to the form k*g + n*g**2 + j and give n.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1102*b - 122114. Calculate r(-109).\nAnswer: -1996","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.828 - 10.988. What is the nearest to n in 11, -3\/2, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8589505 to the power of 1\/2, to the nearest integer?\nAnswer: 2931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 108079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 48*p - 397. Determine l(4).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 1\/120*o**6 + 0*o**4 + 0 - 5\/6*o**3 - o**2 + 0*o + 1\/60*o**5. Suppose -5*n + 2*a - 9 = 1, -4*a + 20 = 0. What is y(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2218, -8744, -19614, -34822, -54362, -78228, -106414?\nAnswer: -138914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(4\/7))**(2\/37)\/(b*b**(-5\/4)*b)**(3\/13))**(3\/5) assuming b is positive.\nAnswer: b**(-3561\/67340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + ((-3 + 2*sqrt(605) - -2*sqrt(605)*2) + 0)**2)*-3.\nAnswer: -65369 + 1188*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120 - 1110212112001?\nAnswer: -1110212110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 257760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 5:49 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -90, -153, -216, -279, -342, -405?\n\"Answer: -63*i - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1 + (0 + 3 - 4)*(1 + 2 + 1) + 0 - 4 + 2)*(-12*t**2 + 12*t**2 - 5*t**3).\nAnswer: 35*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/7)*y*y*(y**(-5)\/y)\/y)\/(y*y\/(y\/(y*y**2*y))*y**(-2\/9)\/y) assuming y is positive.\nAnswer: y**(-472\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + (-4 - 9 - -7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 8*g - 5. Let x be f(7). Let z be (6 + -1 + -5)\/((-4)\/x). Find the third derivative of z*w**2 + 26*w - 26*w - w**2 - 12*w**4 wrt w.\nAnswer: -288*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 10*d**2 + 19*d + 16. Calculate z(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/(t\/(t*t**(-1\/3)))))**45*(t\/t**(-2\/7))**(-40))**(13\/2) assuming t is positive.\nAnswer: t**(-3705\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(85) - 1*sqrt(85)) - 6*((sqrt(85)*-1 - sqrt(85)) + sqrt(85)))*3)\/(sqrt(30)\/sqrt(216) + (sqrt(5) - sqrt(40)\/sqrt(8)*3) + sqrt(5)).\nAnswer: -108*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15978005721*w**3 + 15978005711*w**3 - w + w.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -77. What are the prime factors of 1\/(21\/d)*35?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (9 + (-12 - 3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 16895011?\nAnswer: -4\/16895011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61773438*s - 61773580*s = 568 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**4\/12 + 2*a**3\/3 - a**2\/2 - 3*a. Let k be l(2). Suppose -3*n + y + 20 = 0, 25 + k = 5*n + y. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -288077955*i + 204557560?\nAnswer: -288077955","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 2\/7, 999, 0.03 in increasing order.\nAnswer: -28, 0.03, 2\/7, 999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 71*t**3 + t**2 + 5*t + 1. Let a be b(-2). Let m = a + 587. Let h = -11 - -63. What is the least common multiple of h and m?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/3))\/j**7)\/(j**11*((j*j\/(j*j*j**(-3\/5)))\/j)\/j) assuming j is positive.\nAnswer: j**(-239\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -403 divided by 231?\nAnswer: -403\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*b = 7*b - 6, 5*w = -5*b - 20. Let u be (w\/5)\/(54\/30). Is u at most -116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + 24*r + 31. What is the remainder when 13 is divided by b(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 16\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62307 and 26289?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, q: 2, c: 10}. What is prob of picking 3 c and 1 s?\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5143307?\nAnswer: 13, 383, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 5.00000146. What is b rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.0604 to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v. Let u be (-5)\/(-1) - (6 + -6). Let c(s) = -6*s + 9*s - u*s. Calculate c(y(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-7)*a)\/a)\/((a*a\/(a\/((a*(a*a**(-2\/9)*a)\/a)\/a)))\/a)*a**0\/a*a*a**(2\/7) assuming a is positive.\nAnswer: a**(-472\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 26*p**2 + p + 40. Suppose -11 = -h + 12. Suppose -52 = -h*c + 25*c. List the prime factors of y(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3718 - 3718. Which is the closest to k? (a) -522 (b) 2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -529 - 0.5.\nAnswer: -529.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 2133.\nAnswer: 2132.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t + 2*t + (-14*t + 6*t - 9*t)*(-2 + 0 + 3))*(-2*t**2 + 4*t**2 - 3*t**2).\nAnswer: 15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64112, -256444, -576998, -1025774, -1602772?\nAnswer: -2307992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 17 = -6*z + 27, 3*r + 17 = 5*z. What is the third smallest value in r, -17, -40?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -811 + 835 - (1 + -3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 6764*r - 81744.\nAnswer: 4*(r - 12)*(r + 1703)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Let h(v) = 3*v + 2. Let l be h(2). What is the highest common divisor of n and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -k + 2, -b - 4*k = 4. Suppose 3*z + 3*x = b, 0 = 2*z + x + 2 - 5. Solve 0 = -z*w - 1 - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-6)\/2241) - 4\/8. What is the remainder when (d - -33)*(-2 - -1) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 684*(-31)\/(-5394) + 0 + -4. What is the biggest value in -2, 106, 0, n, -3?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 5421.51?\nAnswer: 325.2906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 35499 to the nearest one hundred.\nAnswer: 35500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/8*(2320\/36)\/29.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*k + 19 - 19 + (3 + 4 - 5)*(-5*k + 6*k + 0*k).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 17*s**2 - 2*s - 32*s**2 + 14*s**2. Let a be m(0). Let f(l) = l**3 + l**2 + l + 7. Determine f(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 8. Suppose -2*d - 67 = 5. Let a = d - -54. Calculate the highest common divisor of a and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.2, 3658, -5, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01082058947 to 4 dps.\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -13*j**3\/6 - 3*j**2\/2 + 797*j. Let y(o) = 13*o + 2. What is -2*u(r) - 3*y(r)?\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -228, -181, -102, 9, 152?\n\"Answer: 16*z**2 - z - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370621.\nAnswer: 73, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2093 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 3c7223?\nAnswer: 3c7222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*r - 12*r - 76 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15337498 and 25097724?\nAnswer: 276074964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -15. Let k = 8 + h. What is the second smallest value in -1, 1\/7, k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -98 (b) 2.268 (c) 0.4 (d) -1 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 9*d - 7. List the prime factors of r(-12).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1318 divide 455155484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 12, 3*s - 3*c = -0 - 3. Solve 0 = -s*i - 7 - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -2. Let i be 717\/5 - 2\/y. Suppose 4*k - 5*h - i = 0, -3*k = -4*h + 29 - 136. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4566*l - 14534. What is n(-5)?\nAnswer: 8296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 20 = 2*b, -4*b + 0*b + 8 = 4*x. Is 6 a factor of (5\/(40\/(-6)))\/(b\/(-240))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 h when four letters picked without replacement from {h: 3, w: 4, a: 1}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 55 (b) 2 (c) -991204 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -6. Is -0.1 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1000 and 5080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 133*n**3 + n**2 - 4*n + 2. Is q(1) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 4*w - 86 + 95 = 0, 5*v + 6 = w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 3458364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 2*l + 4*n, -8*l - 63*n + 64*n = -251. Solve 0 = 6*v + 8 - l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7809842843?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6*0)\/1. Suppose r = -4*k - k. What is the nearest to 2\/9 in 3, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1)*d)\/d**(-2))\/(((d**(-1\/2)\/d)\/d)\/d**(5\/2))*((d**(-1\/3)*d)**(-15))**(-45) assuming d is positive.\nAnswer: d**460","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -342586*c*g**3*m - 2*c*g*m**2 - 6*g**3*m**2 - 59164*g*m**2 wrt c?\nAnswer: -342586*g**3*m - 2*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 192396.9843 + -192371. Let r = w + -26. Let s = -0.011 - r. Round s to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1345 + -1342. Let z(a) = a**3 - 2*a**2 - 2*a - 2. What is the remainder when g is divided by z(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -60 - 202*z - 4*z**3 + 5*z**3 + 206*z - 24*z**2. Let x be p(24). Calculate the greatest common factor of 18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 23. Let j be i(30). Let q = j + 371. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33157567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from {m: 1, i: 6, s: 1, p: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -3, -2, 779 in decreasing order.\nAnswer: 779, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 1\/3 (c) 0.01 (d) 1\/4 (e) -3\/16 (f) -1524\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 6733 + 6733 + 14*i**2)*(427*i - 427*i - 21*i**2).\nAnswer: -294*i**4 + 63*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from {b: 4, s: 2, g: 3}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -177573155, -177573156, -177573157?\n\"Answer: -f - 177573154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-15*1*(-12)\/18. Solve q + 0 = -5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3773 + -7)\/7)\/((-9)\/12). Let b = r - 720. Solve b = -s + 4*j - 18, 0 = -3*s - 2*j - 8 + 24 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*d**2 + 6*d**3 + d**2 - 12*d**2 + d**3 + 2 to r*d**2 + x*d + p + w*d**3 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 81799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/147*(-106)\/265.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*t - 19, 0 = -3*i + 2*t - 5 + 25. Suppose -14 = 5*u + i. Which is bigger: -11\/4 or u?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 10*j - 13*j + 34*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g + 2*g**2)*(-2 + 2 + 3) + (-1 + 1 + 3*g**2)*(0 - 5 + 3) - 2*g**2 + 3 - 3.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 8:22 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1274 is divided by 1095?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 - 4*r**4 + r**2 - 3*r**4 + 2*r**4 + 6*r**4 - r in the form x*r**2 + d + g*r + c*r**3 + z*r**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cooooooowooooooooo. What is prob of sequence woo?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-13))\/(f**(1\/8)\/f))\/(f*f*f**(-3\/8)\/f*f\/f**(-18)))**19 assuming f is positive.\nAnswer: f**(-361\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 54094, 54156, 54282, 54472, 54726?\n\"Answer: 32*b**2 - 34*b + 54096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -415*y + 20. Let t be f(3). Let g = 1847 + t. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a7 + 8?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9813\/21 - 8\/28 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (3*sqrt(44) + sqrt(44) - (sqrt(11) - 2*sqrt(891)))*-3).\nAnswer: 450*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + -3 - (-4 + sqrt(44))) + -1)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*k + 2*a, 12*k - 13*k = 2*a - 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 1. Let x(i) = 7*i - 1. Let s be x(-2). Let b be z\/(s\/6)*-2. What is the second biggest value in 0.1, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4673 divide 944103750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 + 299*z**3 - 297*z**3 + 0*z**2 - 3*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7480 by 5.\nAnswer: 1496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31020 (base 9) in base 2?\nAnswer: 100111111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4 = 4*y, 0*y + y + 5*s - 24 = 0. Suppose -72 = -5*i + i - y*q, 4*i = 5*q + 36. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 546226*v**4 + 406039 wrt v?\nAnswer: 2184904*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 201 - 212.3. Let t = 3.7 - q. Let p = 12 - t. Which is smaller: -2\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13836 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: Let c = 21.103 - 3.103. What is the nearest to c in -2\/15, -2\/3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (178\/1)\/((-6)\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence esi when three letters picked without replacement from stsseeistsesiss.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6013333985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 20*o + 2. Let z be v(-20). Let k be (-5865)\/(-10) - z\/4. Suppose w - k = -w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1236 + 2012 = -203*x for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -12*n**3 - 3*n**2 + 34*n + 229. Is c(-12) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -205859*l**5 - 1440*l**2 - 175 wrt l?\nAnswer: -12351540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -5 (b) 0.1 (c) 0.16 (d) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 371 - 247. Suppose 10*p - 12*p = -i. What is the greatest common divisor of p and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/128844 and 25\/1193.\nAnswer: 128844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -45. Let y = s + -5. Is y at least as big as 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 108 - 67. Let v = a - 17. Let j(u) = -u + 1. Let h be j(-3). What is the greatest common divisor of h and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67686 or -67675?\nAnswer: -67675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - p - p + 0*p)*((-2 + 3 + 0)*(0 + 0 - 2) + 0 + 1 + 7 - 3 + 6 + 0 + (0 + 3 - 2)*(-4 + 1 + 1) + 1 + 1 + 0 + 1 + 0 + 0)*(3 - 4 + 2).\nAnswer: -20*p - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffa when three letters picked without replacement from {s: 4, j: 2, q: 1, f: 7, a: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -996, -1952, -2910, -3870, -4832, -5796?\n\"Answer: -o**2 - 953*o - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 11:42 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(2) + -6*sqrt(2)*4.\nAnswer: -23*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 915 and 12?\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 110 - 30 = 0. Let r be (-1)\/((-18)\/n) - -2. Is r bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-955)\/(-4) + (-44)\/(-176) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = f - n, -n - 4 = f + 3*n. Suppose 3*u - 3*s - 5 = -2, f = 5*u + 2*s - 19. Suppose -u*b + 5*b = 4462. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -139 + 141. Which is the fourth biggest value? (a) -3.5 (b) w (c) -1\/4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 924066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnyb. What is prob of picking 2 b and 1 y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**5 + 2*h**2 - 4. Let d(s) = 3*s**5 + 5*s**2 - 9. Suppose 2*a + 2*a - 16 = 0. Let z(j) = a*d(j) - 9*r(j). Find the third derivative of z(t) wrt t.\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2 and (30\/(-16))\/(((-2925)\/(-20))\/15).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -282*k + 645 - 1209 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 86209509 and -4.\nAnswer: 86209505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2001877 to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 451631, 8, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1105 and 3575.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5749948.\nAnswer: 2, 37, 38851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-22) - -1*(-6450)\/(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 772\/(4*6\/42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Suppose 0 = l - 5*m - 2, -n = 4*l + 5*m - 36. Let c be (-4)\/(-14) - (-33)\/l. Let s(t) = t**2 - 4*t - 6. Determine s(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.24 (b) -5 (c) 1\/388 (d) 32\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-3 + (-252)\/3)*66\/(-22) and 18?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198112161 to the power of 1\/2, to the nearest integer?\nAnswer: 14075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4 = -r, 0 = -4*r - r + 2*v + 56. Suppose 2*j = -4*t - 0*j - r, 0 = t + 2*j + 6. Let l(y) = 8*y + 1. Determine l(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101691 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 - 1.48. Which is the nearest to 2\/5? (a) 5 (b) 2\/11 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 2*k**2 + 4*k - 4. Let o be w(-2). What is the greatest common divisor of o and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 14*w + 4. Let y be b(16). Let m = y + -27. Solve 2*u - 5*u - m = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111011001110101100101 (base 2) to base 13.\nAnswer: ab4c57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1552740 to the nearest 1000.\nAnswer: -1553000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -34*g + 2*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*q**3 - 31*q**2*r - 4*q**2 - 2*q*r + r + 99286 wrt q?\nAnswer: 18*q**2 - 62*q*r - 8*q - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 6, 32?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 12 = 10*t, 7*t + 479*d - 40 = 2*t + 469*d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -34775, -4, -423 in ascending order.\nAnswer: -34775, -423, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 5. Let j = 24 - 48. Let v be 4\/j + 1 + 50\/12. Suppose 0*h = v*h. Give o(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 93998156 + 5?\nAnswer: 93998161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13846997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 54490488360 and -0.4?\nAnswer: 54490488360.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 15, p: 4}. What is prob of sequence kpkk?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t**3 + 2*t**2 + 43*t - 4. Let h(l) = -28*l**3 - 9*l**2 - 165*l + 17. Determine 9*c(k) + 2*h(k).\nAnswer: 7*k**3 + 57*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - n**2 - 5*n - 2. Let h(m) be the first derivative of -m**2\/2 - m + 4216. Calculate -6*h(q) + 2*l(q).\nAnswer: -2*q**3 - 2*q**2 - 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, m: 1, p: 2}. Give prob of picking 1 p, 2 d, and 1 m.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 1400909.\nAnswer: 1400908.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -28999700 to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1646809000 rounded to the nearest one million?\nAnswer: -1647000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -516276, -2064921, -4646000, -8259513, -12905460?\nAnswer: -18583841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = h + 2*h + 8, 10 = -3*h - i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 549035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6315315900 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2 - 24*i + 20 = 0. What is i?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6460 and 11?\nAnswer: 71060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2667228*k**5 - 52*k**2 + 46138*k?\nAnswer: -160033680*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10*f**2 - 197*f + 14. Let y(a) = -4*a**2 + 98*a - 6. What is 6*d(x) + 14*y(x)?\nAnswer: 4*x**2 + 190*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 124*l**2*w**2 - 66*l**2*w + l**2 + 3600*l*w**2 - 3*l + w**2 wrt l?\nAnswer: 248*w**2 - 132*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1182, -4737, -10664, -18963?\n\"Answer: -1186*f**2 + 3*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, l: 1}. Give prob of picking 1 l and 1 p.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + -4*sqrt(243) + -1 + 3*sqrt(243))**2 + -3.\nAnswer: 36*sqrt(3) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence keb when three letters picked without replacement from {e: 2, b: 3, k: 4, t: 2, n: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*(sqrt(153) - -1*sqrt(153)) + 1*sqrt(153)*-6)\/((sqrt(9) + sqrt(63)\/(sqrt(7) + sqrt(63)) + sqrt(9))*-3).\nAnswer: 32*sqrt(17)\/27 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*-91*20\/34320*6\/2.\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3609 or 3610?\nAnswer: 3609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-364))\/(-1*(-4)\/(-32)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00227503311 rounded to five decimal places?\nAnswer: 0.00228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hixh when four letters picked without replacement from {x: 2, i: 5, h: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 133 = -2*l - 2*g, -4*l = -2*g - 496. What is the remainder when 141 is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b. Let h(y) = y**2 + 4*y. Let k be h(-4). Let g be w(k). Solve 0 = -n + 4*n + 3, g = -5*f - 4*n - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 128 - 125, 4*q - 2*g - 15650 = 0. What are the prime factors of q?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34765 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 7*k**2 - 13*k + 27. Let u be i(7). Which is bigger: u or -65?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + u - 2 = -u, -u = -3*g - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njnaajaatajjaaajja. Give prob of picking 2 n.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 564 and 7968?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v + 100. Let n be h(20). Factor -2\/3*f**5 + 0*f**2 + 0*f**3 + n + 0*f - 2\/3*f**4.\nAnswer: -2*f**4*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*u + u = -9, u - 36 = 4*z. Let m be (z\/(-3) + 2)\/1. Solve -2*h - h - 3*g + 3 = 0, m*g + 5 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**2 - 630*d + 33075 = 0.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtx when three letters picked without replacement from dtxxixxmixxmmxxdmmxx.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-6))\/(54\/4).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 + 79 - m**2 - 170.\nAnswer: -m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 122*f**4\/3 - 1112278*f**3\/9 - 737830*f**2\/3 - 362894*f\/3 + 12164\/9 = 0. What is f?\nAnswer: -1, 2\/183, 3041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/((n*n\/n**(1\/32)*n)\/n))\/n*n**(-2\/7)*(n**(-1\/4)\/n*n)**(1\/29))**(-7\/8) assuming n is positive.\nAnswer: n**(8205\/7424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 61 - 61.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 597.7252l?\nAnswer: 597725.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17075 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*(5*(sqrt(363) + sqrt(363)*6) + 1 + sqrt(363) + 2))**2.\nAnswer: 109296*sqrt(3) + 16936657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 24. Let k be ((-2)\/(-36))\/((-3)\/z). Is k bigger than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6\/936*20*(-7695)\/(-8550)\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**4 + 65*t**3 - 49*t - 4?\nAnswer: -24*t**2 + 390*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-2) + 1 - -1. Suppose 0 = d - 0*x - 2*x + 2, -22 = -d - n*x. Is 6 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33610*v = 33609*v - 2*m - 54, -19*v - 142 = 4*m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0096 and 549.\nAnswer: 548.9904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5283643388.\nAnswer: 2, 1320910847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2 - 3*g + 18 = 0.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34593914?\nAnswer: 2, 41, 101, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 423 - 421. Which is the closest to n? (a) -1 (b) -0.04 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -109515\nAnswer: 1\/15645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.08 + -0.12. Let u = a - -1.5. What is the second biggest value in u, -3, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l. Let j(g) = -207 - 203 + 35*g + 611 - 200 + 5*g. What is j(u(q))?\nAnswer: 80*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -2. Let a = 41 + -36. Let z = 0.23 + -0.03. Put a, z, i in ascending order.\nAnswer: i, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/8 and -13\/8868.\nAnswer: 17736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 16 = n, -3*n + 258 = n + 3*g + 269 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668728 is divided by 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 432145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -28*a. Let s be d(-1). Let t = s - 26. Let x be 3\/t*-2 - -16. Which is smaller: 12 or x?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -4, -193, 0.0112?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3640397?\nAnswer: 17, 214141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, c: 6}. What is prob of sequence eec?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1. Let h = -47 + 46.8. Let x be (-4)\/(-12)*-2 + 1. What is the nearest to h in x, f, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 2*j**2 + j**2 + (-3 - 2*j + 3)*(-9 + 9 - 8*j) + j**2 - 2*j**2 - j**2 + (-j**2 - 4 + 4)*(-1 - 1 + 3) to m*j**2 + y + x*j and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (149\/(146616\/384))\/8.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqrrrhhq. What is prob of picking 2 r?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from {m: 3, a: 3, w: 1, k: 4, d: 2, u: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*p + 173*p - 156*p - 3960 = 464*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -225 + 202.9. Let b = t - -22. Put b, -4, 28, -2 in ascending order.\nAnswer: -4, -2, b, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1968, 1636, 1298, 954, 604?\n\"Answer: -3*l**2 - 323*l + 2294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovomxomxxmo. What is prob of sequence mv?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5482+-8780\nAnswer: -14262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2 - 3*g + 5 + g**2 - 3. Is 21 a factor of i(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 724*i**2 - 3096*i + 788. Give p(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1847342 and 91567.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m = 322. Let h be m\/(-5) + 22\/(-110). Suppose 3*v - h - 22 = 0. Calculate the highest common factor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*d - 8 = 0, 5*d + 16 = c + 8*d. Solve -c = 2*p, -4*f + 14*p = 18*p + 12 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {n: 3, u: 13}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 80*f + 129. Give s(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = 5*t - 140. Let x(d) = 10*d. Let y(z) = -2*z. Let u(l) = t*y(l) - 3*x(l). Suppose 0*v - 5*m + 2 = 2*v, 0 = 3*m. Give u(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*v + 52*v - 4*v**3 - 53*v**4 + 26*v**4 - 2 - 32*v**4 as j*v + m*v**4 + b*v**3 + o*v**2 + y and give m.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4609*s**3 + 74*s**4 + 2*s**2 - 4609*s**3 + 1 + s to the form n*s**4 + w*s + d + g*s**3 + q*s**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (690\/(-276))\/((-2)\/12*-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 16*q**2 + 11*q + 11. Let l(j) = 3*j**2 + 2*j + 2. Let c(x) = -11*l(x) + 2*m(x). Let o(v) be the second derivative of -v**4\/12 + 2*v. What is o(c(a))?\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 38. What is the third derivative of 41*v**3 - 25*v**3 + 2*v**2 - u*v**2 wrt v?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**3\/6 + i**2\/2 - 45*i. Let p(s) = -3. What is -2*h(d) - p(d)?\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j**3 + 24*j**4 + 19*j**3 - 2*j**5 + 16*j**2 - 7*j**5 + 0*j**3 = 0 for j.\nAnswer: -2\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 0.4, 3\/5, 0 in increasing order.\nAnswer: 0, 2\/15, 0.4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*d + 2*d + 3*d)*(-1 + 0 + 0)*(47*d**3 - 8*d**3 - 2*d**3) - 5*d**4 + 3*d**4 + d**4 to w*d**3 + u + k*d**4 + f*d + y*d**2 and give k.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -46 + 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449 + 1551*l**3 + 2*l**2 + 139*l**3 + 1091*l**3 + 449.\nAnswer: 2781*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -13. Let d = m - 4. Solve 3*r - 2*r + d*i = -5, -2*r - i = 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + -3 - (sqrt(88)*-5)\/sqrt(8).\nAnswer: -3 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*x - 156*x + 6408 = 0. Let i = x + -707. Solve 0 = y + i*j + 3, -y = -6*y - 2*j - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-18))**36\/(d**(1\/45)\/(d*d\/d**34)) assuming d is positive.\nAnswer: d**(29339\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -45. Suppose -l*z - 4*j + 24 = 0, -5*z - j = -4 - 14. Suppose 58*g**z - 32*g**3 - 29*g**3 + g**5 + 2*g**2 = 0. What is g?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -75. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 16.11, -404.\nAnswer: -404, -0.2, 16.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from idcocizdoizocddd?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/9)\/d)**(-41)*(d*(d*d\/(d*d\/d**(-1\/23))*d*d*d)\/d)\/((d*d\/(((((d\/((d\/d**(2\/11))\/d))\/d)\/d)\/d)\/d))\/d*d) assuming d is positive.\nAnswer: d**(16507\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z - 2. Let m = -13636 - -13639. Give k(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/74254890 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-104)*-6)\/((-12)\/(-96)*6).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (912\/(-209))\/((-60)\/330)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 13*x**4\/6 + 356*x**2. Let v(t) = -29*t. Give c(v(g)).\nAnswer: -1508*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v - 4*v + 0*v.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q - 45. Let z be (8\/6)\/((-10)\/q). What is the greatest common divisor of z and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21844.78 rounded to the nearest one hundred?\nAnswer: -21800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 683973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 67281.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -339, -1368, -3083, -5484?\n\"Answer: -343*b**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -174 + -221. Let t = o + 793\/2. Find l, given that -1\/2*l**2 - 1 + t*l = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4\/3 - s**3 + 10*s**2 + 128*s\/3 + 32 = 0. What is s?\nAnswer: -4, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.2739 + -136.7261. What is the biggest value in v, 1\/4, -2\/5, -8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171110 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.8 - 5. Let n = 3 + -2. Which is the nearest to 1? (a) n (b) 3\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.06 - 426?\nAnswer: -328.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-95) + (-2345)\/(-209) + -11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 1\/5 (b) -29 (c) 0.3 (d) 3 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -14 + -33 + (-6608)\/(-140). Let s be ((-2)\/(-14))\/((-2)\/2). Which is the closest to s? (a) -0.4 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/10*7\/((-56)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - 19*r**5 + 2*r + (0*r**4 + 0*r**4 - 2*r**4)*(-3*r + 33 - 24 - 12).\nAnswer: -13*r**5 + 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-66) + 136\/22. Solve 5*w - x + 5 = 23, -x = w - g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -2*x - 13, 0 = 2*x - 4*f - 12 - 8. Suppose -252 = -x*y - 2*v, -v - 122 = 4*y - 6*y. Solve -41 = -7*t - y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 2*a + 3. Let w(m) = m - 1. Determine v(c) + 3*w(c).\nAnswer: -2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 15 - 16 + 88*l**3 + 7*l**2 + 39.\nAnswer: 88*l**3 + 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 0.0915, -4, -261, -4\/3 in increasing order.\nAnswer: -261, -5, -4, -4\/3, -1, 0.0915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -252.9 and 2.0064.\nAnswer: -507.41856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -5*t + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and -5792.\nAnswer: -6950.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 1. Let x(i) = 3*i + 6 + 2*i**2 - 4*i**2 - i. Let b(o) = -2*f(o) + x(o). Differentiate b(c) wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 65*v - 3. Let a be y(3). Suppose 3*j + a = 39. Does 17 divide (-3 + (j - -3))*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1482402?\nAnswer: 2, 3, 247067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4380.3 + 4380.08736. Round w to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 + 134. Is 43 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1363*s + 16343. What is l(-12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*p + 32, -m + 3*m + 3*p = 14. Suppose 2*f = f + 6. Calculate the smallest common multiple of m and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 9 = -l. Suppose -8 - l = -x. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*j + 3*n + 9, j - 3*n + 9 = 0. Solve r = -2*r - j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = q + 1, 3*q + q + 4*t = 20. Let u = -0.35 - -0.85. What is the third smallest value in 1\/7, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1198888 divided by -3.\nAnswer: 1198888\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 692 and 0.2.\nAnswer: 138.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729700212?\nAnswer: 2, 3, 113, 538127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/(p\/p**(-2\/5)))*p)*p)\/p*p)**22\/(p*p**(-3\/5))**(4\/3) assuming p is positive.\nAnswer: p**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)*f**(2\/15)\/f)\/((f*f**(-1\/7))\/(f**(-2\/19)*f)) assuming f is positive.\nAnswer: f**(-989\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -145061062\nAnswer: 1\/72530531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 + 2*h. Suppose 4*v - 4 = -2*f, v - 1 - 3 = -2*f. Let t be m(f). Is 2\/(t\/(-27))*8 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*y**2 - 2*y**2 - 7*y - 917927 + 917024 with respect to y.\nAnswer: -68*y - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/8976*24*22)\/((-53)\/1).\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 1:07 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = k + 4*k. Suppose 3*u = -k*u + 55. What is the remainder when u is divided by 30\/7 + 6\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157908.66 rounded to the nearest one hundred?\nAnswer: 157900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2005 (base 12) to base 6\nAnswer: -24005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*s - 13 = -39, 0 = -j + 5*s - 10. Solve j*y = -12 - 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12193 is divided by 155?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -33198\nAnswer: -9959.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*33\/220)\/(1\/5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a + 62. Let z be p(19). Put z, 3, 1, 0 in descending order.\nAnswer: z, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 18*c**2 - 80*c - 16. Let u(n) = -15*n**2 + 83*n + 15. Determine 4*a(l) + 5*u(l).\nAnswer: -3*l**2 + 95*l + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*s + 77*s + 1989 + 2295 = 0. Suppose -j = 3*j - 1400. What is the greatest common factor of j and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(2*b + b - 4*b) - 5*b + b + 3*b + (0 - 6 - 1)*(11*b + 4 - 4).\nAnswer: -77*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*t - 144, 18*a - 20*a - 214 = -5*t. Calculate the lowest common multiple of 484 and t.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.96 + 0.04. Let p = 188132.2 + -188134. What is the nearest to 2\/3 in s, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*y + 1245 = 209 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l - 8 = g, -4*l - 2*g = -14. Let x(p) = 9*p + 3. Let z(m) = 10*m + 4. Determine l*z(r) - 4*x(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-968)\/(2816\/64))\/((-2)\/4).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. Let f = 263245\/41 - 3414641\/533. Factor f*k**j + 900\/13 + 1470\/13*k + 6\/13*k**3.\nAnswer: 2*(k + 15)**2*(3*k + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -39*f**2 - 833*f - 279. Determine o(-20).\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a. Let x(s) = -2*s - 26. Let u be x(-14). What is w(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -154\nAnswer: -15.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -69.\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14131997 is divided by 5351.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09 - -0.91. Is 1 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5\/7 - 48*s**4\/7 - 30*s**3 - 12*s**2\/7 + 123*s - 84 = 0.\nAnswer: -7, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-1816)\/740) + (-1476)\/615.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -426.0511825 to one decimal place.\nAnswer: -426.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7248 and -0.049?\nAnswer: 0.0845152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/12*(-8 + (-63)\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 32, 38, 44?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 243 + -211. Let i be (-3 + 0 + 2)*-50. Suppose 4*g = u + 2*u - h, -i = -4*u - 2*g. Solve 2*y = -2*y - u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 divided by 3.\nAnswer: -85\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 2*t - 12. Let b be q(5). Suppose -2*s = -4*u + 210, b*u - s - 158 = -0*u. List the prime factors of u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 4*y - 3. Let v be b(-4). Let a(x) = 13 - 9*x + 3 - 17. Let m(u) = 1. Let f(t) = -a(t) + 2*m(t). Let z(k) = -4*k - 1. Give v*f(o) - 7*z(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5179 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 383*o**2 - o + 118. Let f(n) = -69*n. What is f(y(q))?\nAnswer: -26427*q**2 + 69*q - 8142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 41.82579 millilitres?\nAnswer: 0.04182579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 201 divided by -6\nAnswer: -67\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 249490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1300224122 - 14?\nAnswer: -1300224141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**6\/a)\/a**(-1))\/((a*(a**(-1\/39)\/a)\/a*a)\/(a\/(a*(a**(-14)\/a)\/a))) assuming a is positive.\nAnswer: a**(859\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68*(4015\/(-572) - -7) + 42\/42.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14))\/((-2)\/(-13))*(-40012)\/(-5716)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*d - 45*d + 130*d to the form q*d + p and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107 - 106. What is the units digit of 0 - -697 - (1 - n)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.145? (a) 0.3 (b) 0 (c) 755 (d) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**9\/72 - g**5\/20 + 30*g**2. What is the third derivative of r(h) wrt h?\nAnswer: -840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**4\/12 + h**3\/3 - 8*h**2 + 4*h - 23. Let t(x) = -x**2 - 3*x + 19. Let p(u) = -6*a(u) - 5*t(u). Give p(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358773 is divided by 71744?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -84*s**3 - s**2 + s + 1. Calculate the remainder when a(-1) is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36159, -72359, -108559, -144759?\nAnswer: -180959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 6\/(-1))\/(-1). Let s be 1210\/30 + (-1)\/3. Let y(b) = b**2 - 40 + s. Let m(j) = 2*j**2 + 2*j + 1. What is c*y(x) + m(x)?\nAnswer: -2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trn when three letters picked without replacement from tndreenrnrzet?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 65 = -2*a. Let w = -2 + a. Suppose i - 10 = o, -i + 2*o - 3 + w = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0700064 - 0.07. Let p = 0.4 + -0.4. Let z = g + p. What is z rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -772?\nAnswer: -231.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 1 - 26. Let q(s) = -3*s**2 + 12*s - 17. Let l be q(7). Let g = l + 125. Calculate the highest common factor of r and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 806 and -1.93.\nAnswer: 804.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - -6.6. Let s = 23.5 + -31. Let j = h + s. What is the third biggest value in -5, j, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w + 31*w**2 + 8*w - 30*w**2. Let v be (-2)\/7 - (-78)\/(-21). Determine f(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - g = -122, -g = -1787*l + 1791*l - 50 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 356991617 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**2 - 1. Let t be j(-1). Let v = 7 + t. What is the derivative of -1 - v + a + a + 0*a wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k + 6*k**3 - 6*k + (0*k + 2*k - 3*k)*(-3*k**2 - 2*k**2 + 3*k**2).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s = 12*s + 16. Calculate the smallest common multiple of 31 and s.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61126 is divided by 831.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 7) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8239792 by -22.\nAnswer: -374536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32.2 + -9.2. Let l = r - 22. What is the closest to 0 in 12, 0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 4. Let v = i - 11.15. Let m = -4.85 + v. What is the second biggest value in 4, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163 + 163 - 6*w + 5*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 30 = -10. Suppose 4*u - 3*u = 78. What is the remainder when u is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n - 175 - 280. Let k = -40 - n. Suppose -3*a - a = -5*o + 19, a - k = -3*o. What is the highest common divisor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26\/3*w + 14\/3*w**3 + 10*w**2 + 8\/3 + 2\/3*w**4.\nAnswer: 2*(w + 1)**3*(w + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1683*n**5 - 2*n**2 - 7*n + 107. Let z(r) = 2*r**5 + r**2 + 2*r - 1. Let q(p) = f(p) + 2*z(p). Find the second derivative of q(o) wrt o.\nAnswer: -33580*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002931 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*s - 105. Calculate the highest common factor of 231 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**2 + 197*p - 2. Let l(o) = -13*o**2 - 789*o + 9. Let y(c) = 9*g(c) + 2*l(c). Find the second derivative of y(b) wrt b.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6 = -6*w. Let x = w + 1. Let r = 10 - 10. Sort 4, x, r in descending order.\nAnswer: 4, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**3\/2 + 3*o**2\/2 - 4*o. Suppose x + 4*x - 10 = -2*b, 0 = -4*b - 20. List the prime factors of v(x).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 376888 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 9*z + 7. Let v be j(8). Let a be (1 + 2*-1)*v. Let s be (-2)\/(a\/9 + 1). Solve s*g - 20 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 19*m + 3836. Let t(n) = -7*n - 1278. Calculate -11*t(l) - 4*x(l).\nAnswer: l - 1286","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -40*(-3 - 36\/(-16)). Suppose -5*j + o - r = 0, 0 = -3*j + o - 14 - 6. Let b(v) = v - 20. Let d be b(16). Sort d, 3, j.\nAnswer: j, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 588*11\/20790*(-20)\/(-14).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/18)*((o\/(o*o*o**(-27)*o))\/o*o)\/o*(o**(-8)\/o*o)\/o**(-11) assuming o is positive.\nAnswer: o**(487\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 4*t**2 - t - 1. Let l be m(3). Let f(v) = -v + 5. Give f(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1077)\/(-3) - (-2 + 1). Suppose 7*u - 3*u = z. Suppose 5*j - u = 2*j. Calculate the smallest common multiple of 16 and j.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*s**2*y**6 + s**2*y**2 - 17*s*y**2 + 6*s wrt y?\nAnswer: -6720*s**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 56 + -61 + -84 + 48\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -30. Sort u, -4\/5, 1.\nAnswer: -4\/5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38776 and 444?\nAnswer: 116328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 30*h**2 + 169*h - 7093. What is z(20)?\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k + 3*m = -3, -2*m = -k + 16. Suppose -k = -s + 5. Calculate the greatest common divisor of s and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -20*t + 37. What are the prime factors of m(-9)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o + 1. Suppose 5*z + 5 = l + z, 3*z = 3*l - 15. Suppose r = 5*x + 18, -22 = l*x + 4*r - 3*r. Let b(t) = -5*t - 1. What is x*c(h) - 5*b(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (208\/46 - (6 - (-2 - -9))). Which is smaller: n or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/10))**(6\/19)\/(l\/(l*l**(2\/15))*l*l**18\/l) assuming l is positive.\nAnswer: l**(-5101\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/109 and 3 - (-335)\/10*14\/28?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*w + 81*w + 82*w - 328*w + 83*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 738 a factor of 12265560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 28*f**2 + 0*f**2 + 8 + 4.\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5460)\/(-1680))\/((-2)\/(-16)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f - 23. Let u be k(12). Let r = 18 + u. List the prime factors of r.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from gggxsrffg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 148.4, 0.04, 1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766*v + 998*v + v**2 - 671*v.\nAnswer: v**2 - 439*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3501, 0 in ascending order.\nAnswer: 0, 13, 3501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b + 124b9?\nAnswer: 1248d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12\/959 + -16783\/38360. What is the common denominator of u and -3\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64682*y + 64557*y - 76*y**2 + 0*y**3 + 5*y**3 - 44*y**2.\nAnswer: 5*y*(y - 25)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/((v*v**0)\/v))\/v**6)**(-1\/8))**49)**(6\/29) assuming v is positive.\nAnswer: v**(735\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157\/37 + 7249\/444. Calculate the common denominator of 126736\/(-6048) + (-2)\/(-27) + (-6)\/21 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 4*s - 11*c - 4175, -4*c - 12 = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64519337 - 64519360 + 129038697 + 3*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-35)*7\/2. Let d be 4 - (-1 + 2 - -3). Suppose -4*u + 5*g - 1 = -d, 5*u - 6 = -g. Solve 5*z + k*l = -0*l - 22, l = -u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2569 + (-21*6\/(-18) - 6\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 4*r - 2392, -13*w = -14*w - r + 608. Calculate the lowest common multiple of 402 and w.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 - 15*w - 33. Suppose 68*z + 76*z - 1008 = 0. What is s(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/5 + 1285\/25?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 6.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from dmmmvvddmd.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3253731.\nAnswer: 3, 13, 19, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, d: 2, e: 1, j: 1, r: 3, x: 3}. Give prob of sequence jxe.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36101503853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**4\/24 + k**3\/6 + k**2. Let l be g(-1). Let n be (0 - (2 + 0)) + (0 - -6). Solve n*d = -l*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.556 - -1.88. Let i = m + 0.7049. Round i to three decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1158*w**4 - w**3 + 46*w**2 + 13*w. Let k(f) = 3*f**4 - f**2. Let o(r) = -3*k(r) + m(r). Find the third derivative of o(p) wrt p.\nAnswer: -28008*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/11))**48 assuming w is positive.\nAnswer: w**(480\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 245 = -3*s. Let f = s + -4. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241 + -241.2. Which is the second smallest value? (a) 0.5 (b) 3\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l*l\/(l*l**(-1\/8)*l))\/l)*l)**(-10)\/((l\/(l**16\/l))\/(l*l**(-40))) assuming l is positive.\nAnswer: l**(-175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/4 + 3759*t**3 + 6304896*t**2 + 3580182528*t + 69111644160.\nAnswer: 3*(t + 20)*(t + 1664)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 7422*n**2 - 501192*n + 5113368.\nAnswer: -2*(n - 9)*(n + 78)*(n + 3642)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -5. Let m(u) = 4*u. Let l be m(0). Which is the closest to s? (a) 2 (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001729449 to six dps.\nAnswer: -0.000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3 - 1207074*a**2\/7 - 4138686*a\/7 - 1552014\/7 = 0. Calculate a.\nAnswer: -3, -3\/7, 86223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 7*f**2 - 7*f - 39. Calculate d(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*u - 44*u - 24 = 0. Suppose -4*p - u = -0*p, -3*f = -4*p - 920. 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: What is the thousands digit of 2527865?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**17)**(12\/7) assuming h is positive.\nAnswer: h**(204\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 0 - 4)*(0*t - 9*t + 5*t) + (-6 - 2 + 2)*(0 + 0 + 2*t) to the form i + p*t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-13 - -44) + 4*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**2\/2 + 5*r - 8 = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from ggggvvggggvgvgggggv.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -5*y - 136, 0 = 5*y - 3*h + 20039 - 19907 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 504 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16331 + -16139. Solve 24 = -195*a + x*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*j + 3628, 3*j + 1805 = t + 6*j. Suppose 9*d - t - 2239 = 0. Does 32 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34801450 divided by 5?\nAnswer: -6960290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 5. Let x be y(-6). Let t = x + 2. Suppose 0*m = -t*m. Solve -k + 3*s + m*s + 12 = 0, -4*k + 8 = -2*s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1399 - -1512. Calculate the remainder when 779 is divided by k.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -90, -379, -870, -1569, -2482?\n\"Answer: -b**3 - 95*b**2 + 3*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eemeeeee. Give prob of picking 3 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 4 - 1)*(-2 + 3 - 3) + 4 - 3 - 3)*(-3*w**4 - 29*w + 29*w) in the form n*w**4 + g*w + s + t*w**2 + o*w**3 and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, y: 3, m: 13}. What is prob of picking 2 y?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2087311, 2087242, 2087129, 2086972, 2086771?\n\"Answer: -22*s**2 - 3*s + 2087336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 4) to base 15.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j**2 + 16*j + 128. Let x be k(-8). Let v = -572 - x. Let q = 1 - 1. Which is the fourth biggest value? (a) q (b) v (c) 10 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107 by 107.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x. Suppose 4*k - 12 = 4. Suppose 0*c - 2 = -c. Let h(j) = k*j**2 - 2*j**2 - 5*j**c. Determine s(h(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8733.6 - 0.0118\nAnswer: 8733.5882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 374666 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: Round 169500 to the nearest one thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*a - 10, 4*t + 6 = 6*t. Let q be 0\/2*1\/a. Suppose -2*x - 2*c + q = -8, x = c + 8. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -2. Suppose 6*q + w = n*q, 0 = -3*q - w + 2. Find c, given that -1 + c**2 + 2*c**q - 1 + 4*c - 5*c**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 894071453351 + -4.88.\nAnswer: 894071453346.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -10. Solve -5*m = 3*o - 11, 2*o - 7*o + 7 = -u*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*u**2*w**4 + u**2*w**2 - 16*u**2 + 2*u*w**4 + w wrt w?\nAnswer: 168*u**2*w + 48*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21 - 3.35553.\nAnswer: -3.14553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28504535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -20*l + 1188. Suppose -4*a - l = -6*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 17*o - 7. What is t(-17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 327440860 to the power of 1\/2, to the nearest integer?\nAnswer: 18095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 227 - 227. What is the nearest to 2 in -0.4, -1\/4, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1758*a - 5220 = -1763*a. Calculate the greatest common factor of 1160 and a.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007 a factor of 1209419767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 49853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 6*p**2 - 7*p - 7. Let k be t(-5). Let o(z) = z - 5*z + z - k + 0*z. Let m(q) = -q - 1. Give -10*m(h) + 4*o(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 27*a**5 + 2868*a**4 + 52557*a**3 + 183096*a**2 + 160596*a + 27216 = 0.\nAnswer: -84, -18, -3, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/2)\/i**(-29)*i**26\/(i**(-16)\/i*i) assuming i is positive.\nAnswer: i**(143\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f - 963 = -45*f. What is the remainder when 1388 is divided by f?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125460*r**3 + 10968*r**2 + 9*r = 0. What is r?\nAnswer: -1\/1230, 0, 3\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7362, 14241, 21158, 28131, 35178?\n\"Answer: 3*m**3 + m**2 + 6855*m + 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 24 - 29 + 107 + m**2 - 29 + 2*m**4 - 70*m**3 as r*m**3 + k + o*m**4 + u*m**2 + c*m and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*b + 1. Suppose 3*l = -0 + b. Let u be (-2)\/(-4)*(-2)\/l. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 47, 87, 163, 287, 471, 727, 1067?\nAnswer: 1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.07 (b) -1.4 (c) -2 (d) 140622 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/155 and 1\/2418.\nAnswer: 12090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1052 + -520. Let j = -540 + u. Sort 2\/11, j, 1 in descending order.\nAnswer: 1, 2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11704, -23399, -35094, -46789?\nAnswer: -58484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10334\/(-258350)*-1*160?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 17. Suppose -4*p + 6*p + 24 = 0. Give m(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*b - 77 + 252, -5*w + 47 = -b. List the prime factors of (3 - 6)*b\/9.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.4 (b) 1\/51 (c) -22 (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-28))\/((-6)\/42). Solve 3*k = w + 20, 0 = -u*k + 5*w - 9 + 44 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fh when two letters picked without replacement from xzfht?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 106. Suppose 873 + 150 = -31*p. Is i(p) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) -54 (c) -13.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15711 - 89?\nAnswer: 15644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 35\/3 (b) -14\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 140*t - 19315. Give r(138).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 8 + 0 = 0. Suppose h + 30 = a*h. Suppose -4*b + 45 + 15 = 0. Calculate the greatest common divisor of h and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 370 + -372. Let c(v) = -33*v + 16. Is 8 a factor of c(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 0 - 2*a + 6 + a.\nAnswer: -a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 1 - 15)*-1. Let n be 2\/1 - 25\/s. Which is the second smallest value? (a) -14 (b) 0 (c) n (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 108, -2, -0.2?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.6 or -37749867?\nAnswer: -37749867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4 - 155*d**3 - 396*d**2 - 319*d - 80 = 0.\nAnswer: -1, -1\/2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + 25. Suppose 4 - 2 = b. Let f be 1\/b + k\/(-6). Solve q - 8 = f*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/636 and 39\/13144.\nAnswer: 39432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 45476*q**3 - 12*q**2 - 6*q + 16. Let d be n(-6). Let r = d + 6413196. What is r rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31572 and 4.\nAnswer: -126288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1488, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2755\/988 - (1595\/(-20))\/(-29)\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -9*u - 3*u. Is ((-3)\/u)\/(42\/(-28))*-3814 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -122?\nAnswer: -73.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*d - 14994 = 219*d. Is -442 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3 = -h, -4 = -5*h + 4*w + 25. Calculate the least common multiple of h and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6063, -0.1, 7\/4, -5, 0.08 in descending order.\nAnswer: 7\/4, 0.6063, 0.08, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.70810194 rounded to one dp?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 10*h + 13*h. Suppose -h*q - 74 + 462 = 0. What is the remainder when q is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {l: 1, v: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -630, -1529, -2788, -4407, -6386?\nAnswer: -8725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1272 + 6361\/5. Let b(z) be the first derivative of 2\/5*z - 16\/25*z**5 + 7\/30*z**6 + 14\/15*z**3 + v*z**4 - 11\/10*z**2 + 7. Factor b(k).\nAnswer: (k - 1)**3*(k + 1)*(7*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.4, 6957, -538?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*u - 71182 - 73292 + 146837 = 0 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7369*s - 697*s**2 - 82*s**2 - 7366*s + (s - s - 2*s)*(2*s + 3 - 3) in the form m*s + x + b*s**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 78\/5 + 60\/150. Suppose -f = 4*x - 96. Solve 2*u + 3*u = x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3*(-6 + -18). Let f(v) = -v**2 + 7*v + 9. Calculate f(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1240822 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 29.999962. What is d rounded to six decimal places?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*n - 143782 = -5135*n for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*n, 4*q - 1072 = 3*n - 7*n. Calculate the highest common factor of 20 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-68)\/(-12410))\/((-24)\/(-1510)) and 53\/6.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-6) - 20) + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10029830\/738 + 8\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 6*j + 48. Suppose -2*r = -5*r + 12. Suppose -r*u = -j - 4. Solve 0 = -u*t - 0*t - 12, 5*n = 3*t + 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 536 + -305. Suppose n = 3*d - 0*d. Let i = d - 45. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 383*p - 387*p - 20, 5*o = -4*p - 32 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -19. Solve -4*d + 27 = 4*k + 7, v*k - 4*d + 6 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21734.94 years in months?\nAnswer: 260819.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 1\/(-1)) + 5. Suppose -2*p = -7*p + 5*w + 5, -34 = -4*p - 2*w. What is the greatest common divisor of p and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*j + 98*j - 52*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(57)*1 - sqrt(57)) + (sqrt(2793) - (sqrt(2793) - (sqrt(2793) + sqrt(2793)*1 + sqrt(2793)))))\/((2*sqrt(2304))\/sqrt(12)).\nAnswer: 21*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.69 + -19.89. Let y = -19 - r. Which is the nearest to 0? (a) 4 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/3 + 1*13. Suppose 0*v - 5*v = -w. Differentiate 2*y**2 + 4*y - 4*y + 2*y**v - 2 wrt y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 2:37 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*h - 4 = -3*z, -3*z + 2*h + 11 = 0. Let x be 2 + 17\/z + (-8)\/2. What is the second biggest value in -3\/2, -2\/9, x, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -159 - -295. Let i = -190 + l. Let c = i + 53.8. Is -1\/5 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159417, 159193, 158969, 158745, 158521?\nAnswer: 158297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*v + 1625 - 3242 + 1624)*(-v**2 + 0*v**2 + 0*v**2).\nAnswer: -39*v**3 - 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6 - (-26)\/(-6). Let g be -10*(-2 - (-3)\/2). Sort s, -2, g in descending order.\nAnswer: g, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491264 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2315*u - 2516*u + 12370545. What are the prime factors of u?\nAnswer: 3, 5, 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*m**4 - 22*m**3 - 32*m**2 + 8*m.\nAnswer: 2*m*(m - 2)*(m + 1)*(9*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/((-1)\/(-2)*1). Let z be 14\/r + 2\/15. Factor -4\/5*j - 4\/5 + z*j**2.\nAnswer: (j - 2)*(3*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8309339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.48548ml in litres?\nAnswer: 0.03748548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 260 - 13. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -592254*d**2. Let h(f) = 11*f + 10. Determine h(k(m)).\nAnswer: -6514794*m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*y - 59*y + 28*y + 236*y**2 to s*y + d*y**2 + a and give d.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 20.43. Let w = -0.07 - n. What is the nearest to 4 in -0.2, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**7\/1260 + o**6\/720 - o**5\/360 - o**4\/144 + 7*o**2. Find h, given that c(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/5))**(6\/13)*k**(-6\/11)*k\/(k\/k**(1\/33)*k*k) assuming k is positive.\nAnswer: k**(-4207\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + 2*p + 4821*p**2 + 3930*p**2 - 1662*p**2 to the form x*p**2 + j + d*p and give x.\nAnswer: 7089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 4:01 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**4 + 2 + 4*r**2 - 97*r + 2*r**2 - r**2 + r**2 + 96*r to t*r + s*r**2 + p + n*r**4 + j*r**3 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 8. Let w = y + 0.000056. What is w rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**6\/60 + 19*i**5\/60 - i**4\/12 - i**3\/3 - 7*i**2 - i. What are the prime factors of m(9)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 + 27 = -11*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2131 - -2133. Put -2, b, -47 in decreasing order.\nAnswer: b, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 715\/4 + -179. What is the fourth biggest value in -201, -5\/2, 0.2, x?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 862385 divided by 6\nAnswer: 862385\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*v**4 - 2*v + 15 - 29*v**4 - 180*v**5 - 51 wrt v.\nAnswer: -3600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 8\/((-64)\/(-616)). Find the third derivative of s*n**2 - 2*n**6 + 13*n**3 - 13*n**3 - 34*n**5 + 137*n**5 wrt n.\nAnswer: -240*n**3 + 6180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30929.9 + 28783. What is g rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14779*d = -11665*d + 115218 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127 - 695 = -27*x + 404 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + -1*sqrt(2299)) + 0 + -5)**2*-3.\nAnswer: -7044 + 462*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18906\/7 - 2701. Let z = -7 - -4. Let q = z - -3.2. What is the second biggest value in 5, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z**2 - 27*z - 49. Suppose 13*f + 31*f = 836. What is the hundreds digit of j(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15042 is divided by 3526.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.7 and -0.11?\nAnswer: 1.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -348 - -349. Suppose -5 = 2*b - 3*b. Suppose 0 = -3*l + b*l + 6. What is the third smallest value in l, y, 2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*s = 46*s + 3304. Does 29 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2766*m - 1673. What is the hundreds digit of c(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (5 - -4) - 1 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3603176 - 17*n + 3603180 - 7206356.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/(-20))\/((7\/(-10))\/(-7)). Solve 192*k - 198*k = -u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 8*f**2 - 12*f + 2. Let t be l(6). Suppose -t*g + 485 = -2229. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 10) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/((-5)\/(-15)). Let b(c) = -2*c - n*c + 3*c. Let h(f) = -7*f. Determine b(h(v)).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/4, -16, 5, 11, -0.2, -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703635?\nAnswer: 3, 5, 61, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 317 in -2, -5\/2, -0.1, 1\/38, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 599480*a - 600731*a + 108837 for a.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 825711773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -831*p - 8. Let f(k) = 2503*k + 25. Determine 4*f(c) + 13*h(c).\nAnswer: -791*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {g: 2, q: 10}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239, -952, -2139, -3800, -5935?\nAnswer: -8544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 - 10201221?\nAnswer: -10201323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 8:53 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 60171259.1 to the nearest one million.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 26, -63, -154, -247, -342, -439?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 19, 75, 165, 295, 471, 699, 985?\nAnswer: 1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 3408.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/10260 and -59\/540.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18421788019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 150*m**2 + 92*m - 475. What is the thousands digit of v(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 3*l - 16. Determine g(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/s**(-3)*s*s**(-4\/5))\/(s\/s**(4\/3)*s*s**(-7\/2)\/s)*(s**(2\/3)*s**(-4\/3))**(2\/5) assuming s is positive.\nAnswer: s**(293\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 28 = 4*w, 5*k - 2*w - 2 = 17*w - 17*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c + 6. Let n(x) = -x**2 + 4*x - 2. Let s be n(5). Let m = 10 + -7. Let q(g) = 4 - 2*g + m*g - 3*g. Calculate s*q(a) + 5*u(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3241220 - 3?\nAnswer: 3241212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 9:17 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 7, -2 in descending order.\nAnswer: 7, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 0 + 5. Suppose l - 11 = -2*d. What is the remainder when 14 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 85 + -27 + 10 + 8 + 0?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**8*t)\/(t\/t**(-2\/15)))\/(t\/(t\/(t\/t**(-1\/4))))**(-22\/3) assuming t is positive.\nAnswer: t**(511\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4136 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v + 5*k + 60, 0 = -3*v - 2*k - 112. Let h be -2 - (v\/(-6))\/(-4). Which is the closest to 0? (a) 4 (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010000011111 - 1111?\nAnswer: 11010000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 30*f + 254. Let k be w(37). Let t = -0.28 - -0.4. Put t, 0.2, k in ascending order.\nAnswer: k, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {c: 5, t: 8}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (22\/(-4))\/(-1*(-1)\/(-4)). Suppose -a = -3*r + 5 + 5, -3*r + 4*a = -z. Let t(y) = 78*y + 3. Is 10 a factor of t(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3046.6 - 3047. Let y(u) = -u - 2. Let k be y(-2). Let v = 8.3 - 8. Which is the smallest value? (a) m (b) k (c) -2\/9 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -24. What is the units digit of ((-21)\/p)\/(1\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**5\/2 - 174*h**4 + 2250*h**3 - 6864*h**2 + 6144*h = 0.\nAnswer: -128, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w. Let s(q) = -122*q + 219*q**2 + 4 - 211*q**2 + 3. Let z(n) = -2*n**2 + 41*n - 2. Let h(k) = 2*s(k) + 7*z(k). Determine j(h(t)).\nAnswer: -4*t**2 - 86*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -159.8 - -160. Let r = 4 + -3. Put c, 0.4, r, -1\/5 in decreasing order.\nAnswer: r, 0.4, c, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**3\/2 - 7869*s**2\/2 + 7686756*s + 210420504 = 0?\nAnswer: -27, 3948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 5*s**2 - 3*s + 5. Let r = -54879 + 159539\/3. Let m = -1717 - r. What is the common denominator of m and w(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.062194*-21\nAnswer: 1.306074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + x - 2. Let c be r(-2). Solve -20 = -c*q - 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 + 7 = 24*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/27)\/(-1*(-3)\/(-1197)).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4203671.333 rounded to the nearest 1000?\nAnswer: 4204000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38093 + 38113. Solve 0 = o - 3*w + d, 10 = 478*o - 479*o + w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**5\/4 - b**3\/6 + b**2\/2 - 2*b. Let t be c(1). Sort 1, t, -8 in increasing order.\nAnswer: -8, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 r when three letters picked without replacement from {o: 9, r: 11}.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 313 = -3*p + 401, 3*a = -2*p - 2142. What is the tens digit of (a\/(-12))\/((-75)\/(-18) + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34 - 515*o + 307*o**3 - 7*o**4 + 32 + 17*o**4 - 9*o**4 wrt o?\nAnswer: 12*o**2 + 1842*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -145 + 198 - (0 - (3 + 0)). Suppose 3*o - 36 = -12. Calculate the highest common divisor of v and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 60 and -4.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -304936\nAnswer: -609872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 86 or -0.136?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4bb7b (base 12) to base 10\nAnswer: -103631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(24)\/sqrt(144) - sqrt(6))*-5 + -3*(sqrt(288) + (sqrt(288) + -2 - sqrt(288)) - sqrt(288)) + 3)**2.\nAnswer: 108*sqrt(2) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 10:44 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 161.\nAnswer: -1, 3, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6\/10*(-140)\/(-504)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 - 204. Let x = y + 131. Solve g + 7 - x = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -158*z + 140*z + 1404*z**4 - 100*z**4 - 10*z**2 wrt z?\nAnswer: 31296*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4674\/(-3895))\/((-14)\/25).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1049459 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) - (-3*sqrt(216)*-1 + sqrt(216) - sqrt(216)) - (sqrt(216) + sqrt(216) + sqrt(216)*1*6))\/(3*(sqrt(128) + sqrt(8)) + sqrt(56)\/(1*sqrt(7))).\nAnswer: -15*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442 divided by 7?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 40 = 6*f. Let s(q) = 12*q + f*q - 21*q. Let z(g) = -16*g. Determine s(z(y)).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33853, 34117, 34381, 34645, 34909, 35173?\n\"Answer: 264*l + 33589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - (0 + sqrt(2448)) - sqrt(2448) - sqrt(1224)\/sqrt(2)) + -3.\nAnswer: -18*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 135, 129, 121, 111, 99, 85, 69?\n\"Answer: -y**2 - 3*y + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7334 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669228755?\nAnswer: 5, 13, 619, 16633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7235, -28965, -65187, -115901, -181107?\nAnswer: -260805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 8:12 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0047 + -0.0316. Round o to three dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839596198 is divided by 237.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 324034211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57.5 + 57. Put k, 6\/11, 0 in increasing order.\nAnswer: k, 0, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h. Let r be l(-5). Let y(t) = -t**3 + 7*t + 4. Let x(s) = s**3 + s**2 - 7*s - 4. Let u(i) = 4*x(i) + 3*y(i). What is u(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*z**3 + 5*z**3 - 3 + 0 + z**4 in the form g + d*z**3 + i*z + n*z**4 + a*z**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1332 - -1336. Sort -3, 39, l in ascending order.\nAnswer: -3, l, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1626181, 1626003, 1625825, 1625647, 1625469, 1625291?\n\"Answer: -178*o + 1626359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**4\/4 + j**3\/12 + 27. Suppose r(b) = 0. What is b?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482588205.\nAnswer: 5, 7, 42359663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2567126 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90153 and 20169.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1688 + -1686. Which is the second smallest value? (a) -11 (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116 - -123. Which is the nearest to 1? (a) 0 (b) 1\/6 (c) -4 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*h - 34 = 3*h. Which is the nearest to h? (a) -11 (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -0.4 (c) -3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**5\/6 - h**2. Let l(d) = -1290*d**2 + 2529*d**2 - 1251*d**2. What is w(l(j))?\nAnswer: 1440*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*4*sqrt(99)*1)\/(sqrt(324)*-2 + sqrt(27)\/sqrt(12)))**2.\nAnswer: 11264\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 13*p - 8. Let i be w(-12). Suppose 13 - 5 = i*d. Suppose 2*g + 2*m + d*m = 0, 0 = g + 4*m. Solve 2*c + g*c = -4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y + 7. Let i(r) = -2*r + 2. Let k(a) = 3*d(a) - 7*i(a). Let s(m) = -2*m - 3. Calculate 6*k(n) + 14*s(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.062 - 0.112. Let g = 1501 - 1500.7. Which is the nearest to -5\/2? (a) y (b) 2\/15 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2096416039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99705\/4 + -24926. What is the nearest to m in -4\/3, 1, -4.65?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1 + 5 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 4*y**2 - 5*y - 10*y + 11*y + 0*y**2. Let h be w(-2). Solve 0 = -5*k - 4*d - 7 + 19, h = 3*k - 2*d - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1213806154?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 + 56. Calculate the smallest common multiple of 6 and (-2)\/f*6*10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0462974 rounded to 4 decimal places?\nAnswer: -0.0463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21719419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2001.\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.42 + 0.72. Let j = p - -6. Let l = -0.2 + -0.1. Which is the smallest value? (a) j (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1057 rounded to the nearest 10?\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 + z. Let y = 84 - 82. Let c = 0 - 5. Let a(k) = 4*k**3 + k**2 + 2*k. Determine c*x(t) + y*a(t).\nAnswer: -2*t**3 + 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94207 + 48902. Round a to the nearest 1000.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 42747?\nAnswer: 42749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(635*d - 279*d - 304*d) to w + f*d and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/1)\/((-2)\/(18052\/2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-3 + 20 - 7) + -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 805303917?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/19, -2, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -12*j - 3. Let f(c) = -3*c. Let t(z) = -5*f(z) - v(z). Let i(k) = 4*k**2. Calculate t(i(l)).\nAnswer: 108*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - x + 0*x)*(14*x - 60 + 60) + 4*x**2 - x**2 - 2*x**2 + 0*x**2 - 4*x**2 + x**2 in the form i + k*x**2 + t*x and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqhddwbwddbdd. Give prob of picking 1 h, 1 d, and 1 w.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 158507, 317021, 475535?\n\"Answer: 158514*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = -7*g + 27. Let p(x) = 4*x + 85. Let t be p(g). Solve 8 = 5*i + t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1785560 and -121\/692360.\nAnswer: 33925640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36.99996555 + -37. Round a to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4 + 2 + 59*s - 58*s + 1. Let y(l) = 3*l**2 - 1. Let x(m) = 13*m**2 + m - 5. Let k(v) = -2*x(v) + 9*y(v). Give -3*g(p) - 2*k(p).\nAnswer: -2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 91, 2, 5 in increasing order.\nAnswer: -5, 2, 5, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 6\/5, 2\/22067803?\nAnswer: 2\/22067803","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00087980494 to 5 decimal places.\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2999 = -4*h, 18*h = -3*t + 13*h + 2995. Solve -g + t = 1011 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Let g(f) = f - 2*f**2 - f + 5*f**m. Let w(p) = -2*p**2. Determine g(w(n)).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28256 + -51621. What is h rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 222184074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -189, -157, -103, -27, 71?\n\"Answer: 11*q**2 - q - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160149399 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**4 + 14*m**3\/3 + 2*m**2\/3 - 14*m\/3 + 4\/3 = 0.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 473, 865, 1193, 1421, 1513?\nAnswer: 1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1316)\/(-110) - (2 + (-30)\/(-3))\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 402, -2153, -4708, -7263?\n\"Answer: -2555*r + 2957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*a + 5*s, 17*s - 44 = -4*a - 19*s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -106*j - 185. Let m(a) = 27*a + 46. Let x(o) = -9*m(o) - 2*p(o). Let u(z) = 16*z + 22. Let g(h) = -5*u(h) - 2*x(h). Differentiate g(l) wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (10 + -4 + 5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116790.3*8.\nAnswer: -934322.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*g - 2*g. Put -3, -5, g, 3 in increasing order.\nAnswer: -5, -3, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*t + 357 - 357)*(0*t**3 + 2*t**3 - 2*t + t) - 27*t**4 - 24*t**4 + 16*t**4.\nAnswer: -89*t**4 + 27*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8995.2 + 8995.1959989. Let f = -33.004 + 33. Let a = f - p. What is a rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 + -0.3. Let z = -120 + 123. Sort z, 1, c in descending order.\nAnswer: z, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = 14. Suppose -8*t + 4*t = -m. Suppose 3*o - 46 = o + 4*y, -86 = -4*o + t*y. 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: 264\/(-1452) + 554\/22\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4*q - 12, 4*q = -h + 2*q - 6. Suppose h = 4*v - 0 - 4. Suppose -2*j + 0*j - 4*o - 10 = 0, 5*j = 5*o - 25. Put j, 0, v in increasing order.\nAnswer: j, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 0.16 (c) -3 (d) -23 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from moomooozowmmdm. Give prob of picking 1 z, 1 w, and 2 m.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*n + 4*q, -32 = 3*q - 38. Which is the smallest value? (a) 6 (b) 1\/18 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10355671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -166, -1311, -4406, -10423, -20334, -35111, -55726?\n\"Answer: -162*a**3 - 3*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137\/184 + 3\/23. Calculate the common denominator of z and -21\/13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002112046 rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 196823 at most as big as 196823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22989a (base 15) to base 13.\nAnswer: 45b107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**2*s**2 + 916882*l**2 - 6058143*s**2 wrt l?\nAnswer: -2*l*s**2 + 1833764*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000027963604 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -7. Suppose 20 = -n*y + 2*k, 2*y + 18 = k + 2. Let w be (-5816)\/y - 2\/(-3). Round w to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -16*g + 11*g, 0 = -4*a + 8*g + 28. Solve 1 - 78 = a*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130.609 + 129.609. Let h = 0 + 0.2. Let s = 2.8 + h. Which is the closest to y? (a) -2 (b) s (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/sqrt(2)*1 + 3*sqrt(180) + -2.\nAnswer: -2 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105046, -209972, -314902, -419836?\nAnswer: -524774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*i = 50, z - 4*i - 54 = -7*z + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -17. Which is the biggest value? (a) p (b) 2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 1, -35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*2*2 - sqrt(65)*2*-2)\/(-5*sqrt(25)\/sqrt(245)) + 1.\nAnswer: -56*sqrt(13)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114718 is divided by 2389?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2. Let k(i) be the second derivative of i**4\/6 - 2*i. Calculate k(l(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9455\/137 + 9592\/(-657052).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*f - 200, -5*k + 4*f - 115 = 50. Let u = k - -34. Let v(g) = -g**3 - 2*g**2 - 3*g - 2. What is the units digit of v(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**3\/6 + 3*r**2 - 3*r. Let x be n(-3). Which is smaller: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2984746 divided by -2984746?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1266 + -1262. What is the nearest to -1\/2 in n, 0.54, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n. Let h = -1493 + 27977. Let g be (-6)\/(-2)*h\/36. Let u(y) = 2207 - g + 4*y. Determine u(i(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 5*n + 5*n)*(-2 - 1 + 4 + 2 + 1 - 12 + 2 - 3 + 2 + 3 + 3 - 5 + (0 - 1 + 0)*(-2 + 0 + 0) + 1 + 3 - 1)*(-2 - 3 + 4)*(-2 + 2 + 2)*(3*n + 0*n - 4*n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.96 - -0.04. What is the nearest to 0.1 in -4\/7, 5, p?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 274*t**2 - 2*t. Let y(b) = -b**2. Calculate h(y(a)).\nAnswer: 274*a**4 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l**2 + 19*l + 4. Let d be x(-3). Solve -o + 6*s = 5*s - d, -5*o + 3*s - 1 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 235500, 236946, 238392, 239838?\n\"Answer: 1446*n + 234054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, -0.4, -3, -0.2 in descending order.\nAnswer: -0.2, -0.4, -3, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence piti when four letters picked without replacement from {i: 2, p: 1, t: 5, n: 1}?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4\/3 + 47510*f**3 + 1012599545*f**2\/3 - 14920515500*f + 493137012500\/3.\nAnswer: 5*(f - 22)**2*(f + 14275)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.836726 milligrams in kilograms?\nAnswer: 0.000002836726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -237*z + 10. Let x(o) = -473*o + 17. Determine -5*h(u) + 3*x(u).\nAnswer: -234*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23734*q**2 - 2*q - 48623 wrt q.\nAnswer: 47468*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/6596800 and 127\/4080.\nAnswer: 336436800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -7267.35 to the nearest 100.\nAnswer: -7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -2*c + 23, -3*g + 3*c + 7014 = 7026 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 - (400\/60 - 6\/9). Factor 1\/2*c**4 - 2 + 2*c + 3\/2*c**k - 2*c**3.\nAnswer: (c - 2)**2*(c - 1)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**3 - 16*g**2 + 8*g + 4. Give p(-7).\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/168 - (3012\/616 - 5).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 2 + j + 0*j - 40*j.\nAnswer: -38*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*s = -135*s + 4213 + 4066 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15519884 is divided by 44.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4 - 5. Is -1 + 48\/((-3)\/z)*19 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 107846, 430773, 968774, 1721849, 2689998, 3873221?\n\"Answer: 107537*v**2 + 316*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 3588467251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 34\/8 - 1\/4. What is the common denominator of -41\/9 and 44\/(-312)*-21 - i?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -947586 and -17.\nAnswer: 16108962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 less than 68851?\nAnswer: 69125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2.2, 3\/5, 0.07, 0.7, -37.8?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 5:03 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14561 - -14554. Which is the third biggest value? (a) s (b) -0.2 (c) -1 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32798213*b - 88466092.\nAnswer: -32798213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -12. Let j = -1 + k. Let p = 1 - j. Which is the biggest value? (a) -2 (b) p (c) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110092\/11 + -10010. Sort 0.5, 0.6, t, 2\/3 in ascending order.\nAnswer: t, 0.5, 0.6, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 7*t**2 - 7*t - 15.\nAnswer: -(t - 5)*(t - 3)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.85994ng to grams.\nAnswer: 0.00000005185994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z + z + 0*z + (-6 - 4*z + 6)*(-1 - 1 + 4) + 2*z + 0 + 0 - 102*z - 69*z + 223*z in the form w + j*z and give j.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x**3 + 4947*x**2\/2 + 1235*x = 0 for x.\nAnswer: -2470\/7, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3753066689 and -2.\nAnswer: -0.7506133378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9062820 and 3942?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 54 and 0.0127.\nAnswer: 54.0127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*u + 500*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaayy. Give prob of sequence yyy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 10:31 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r + 0*r)*(2 + 0 + 0) + 4*r + r - 4*r + (4*r + 0*r - 5*r)*(-5 + 2 + 1).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*h - 928 = 10*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 0, -2*z = -4*m - 3*z + 4. Let s be 3 - (0\/m)\/(-1). Solve n + 1 = 4*i - 6, s*n + 14 = 5*i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.26129 - -0.03871. Put -1, k, 3\/8, 1.7, 3\/5 in descending order.\nAnswer: 1.7, 3\/5, 3\/8, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -770725.3 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 129 - 58. Suppose 0 = 6*o - 4*o - 6. Suppose o*s - m = 3*f + 160, -263 = -3*s - 5*f. Calculate the remainder when s is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169566933 is divided by 40?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96013054.\nAnswer: 2, 1051, 45677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 217982 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*g - 96*g - 40 = 4*d, -2*g - 16*d + 36 = 0 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2507 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, c: 1, l: 1}. What is prob of sequence mc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3238 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -738735 + 1?\nAnswer: -738734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 8*z = 12*z + 12, 0 = 5*x - 4*z - 26 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 - -2125626.8574?\nAnswer: 2125624.9574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.781 - -5.781. What is the closest to -0.08 in 9, 1, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2 + 639*a + 33990 = 0. Calculate a.\nAnswer: -110, -103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112 + 62. Suppose n - 5 = -3*m, 4*m = -5*n + 3 + 11. Put n, -2, c in increasing order.\nAnswer: c, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 768 - 516. What is the second derivative of -51 + 250*h + 4*h**2 - k*h - 6*h**2 - 46*h**3 wrt h?\nAnswer: -276*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -99*g - 1398. Determine c(-15).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r + 20*r + 17*r - 7*r.\nAnswer: 41*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06207 - -0.06212069. Round g to 6 dps.\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-14))\/((-6)\/(-42)). Suppose -r*d = -4*o + 1207 + 141, -4*d - 680 = -2*o. Does 48 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 7:15 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 4138, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/((-2)\/7 + 10\/(-14)). Let n be 11 + h + (1 - -55995). Suppose -n = -m + 3*p + 63991, 359996 = 3*m - p. Round m to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + n + 0*n)*(7*n - 3*n + n) - 7 + 2*n**2 + 7.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 1:51 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d - 3*a + 11120 = -23*d, 3*a = 0. Is 47 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120101 - 222101000?\nAnswer: -221210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k**3 - 36*k**3 - 108*k**3 + 149*k**3 + 60*k**3 - 32*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/4)\/(90\/(-240)). Let c(i) = -i**3 - 4*i**2 - 3*i - 4. Let o be c(-4). Let p be (1 + -7)\/2 + o. Solve -b*z + p = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -120? (a) 8\/37 (b) -2\/19 (c) 16 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1038 + -1.8962. Is g at least as big as 0.2739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 1256524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 67921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 a when four letters picked without replacement from rhauraa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {v: 6, q: 1, z: 3, d: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -1002?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 2:45 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24629 + 24608. Suppose 0 = 3*x + 3*a - 27, 4*x - 4*a = -2*a + 12. Sort -2, z, x, -5.\nAnswer: z, -5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d - 5. Let y be t(-7). Let i = y + -12. Let l = i - -4. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -5*z**4\/4 - 5*z**3 + 28*z. What is the second derivative of h(w) wrt w?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86\/7 + -12. Which is the biggest value? (a) 1 (b) 5\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1, -11, 0.2, -0.04336, -8?\nAnswer: -0.04336","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -18*g**2 + g + 1. Let r be v(-1). Let i be (-48)\/r*18\/3. Suppose i*s = 13*s + 165. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.3 - 0.4. Let k = -91.79 - -86.5. Let s = k - m. What is s rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -4*v**2 + 0*v**4 + 0*v + 0*v**3 - 1\/30*v**5 + 9. Let f(p) = -33*p. Give f(b(q)).\nAnswer: 66*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2970766.\nAnswer: 2, 1485383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1330712.09000035 - -1330712. Let y = c + 0.09. Round y to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 96 = 0, 85*i - 90*i - 92 = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 1\/2 (b) -0.469 (c) 4\/3 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*d*m**2*u - d*m - 657887*d*u - m**2*u + 2499417*m*u - m + 1 wrt d?\nAnswer: -3*m**2*u - m - 657887*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 f when four letters picked without replacement from {m: 2, f: 7}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 13*g = 11, 63 = -4*a - 5*g + 72 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2942701 + 183931.\nAnswer: 3126632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149\/2 + -77. Suppose 5*k = -0*k. Put 4, k, t in descending order.\nAnswer: 4, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-4)\/22 - (-45)\/66)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**3 - 2*p**2 + 2*p - 1. Let l be x(1). Let m be (-32)\/(5\/(-3) + 1). Find the second derivative of 8*d**l + m - 48 + 3*d wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*sqrt(605) + 4.\nAnswer: 4 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3139466 - -639466. Round l to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97 + 108. Solve 0 = -5*c + 1 - p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from {r: 1, o: 5, w: 1, y: 8, c: 3, u: 2}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.82 - 1.78. Is t less than or equal to -0.64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*g = -441*g + 5*l - 13, -g - 6 = -2*l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6482, -6429, -6376?\n\"Answer: 53*u - 6535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 6 = -6*z. Solve -4*h = -z*h + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 5, g: 10, t: 4}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**2 + 282*p**3 - 6 - 135*p**3 + 2*p - 143*p**3 to n*p**2 + a + l*p + g*p**3 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**(1\/4))\/w*w*w)**8*(w\/w**(-2\/19))\/(w*w**(-1)*w) assuming w is positive.\nAnswer: w**(496\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103531*j**2 - 338604*j wrt j.\nAnswer: -207062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, e: 3}. What is prob of sequence ek?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26196.80396 + -679.79876. Let t = -25490 + w. Let v = t - 27. What is v rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 16281?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**6\/70 + 9*r**5\/140 - 3*r**4\/28 + r**3\/14 - r + 1. Factor y(u).\nAnswer: -3*u*(u - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0137778 rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-7)*s))\/(s**(3\/16)*s))**(-18) assuming s is positive.\nAnswer: s**(-837\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -603220*l + 603219*l + 235 = 8*s, -15 = -5*l for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (15 - -23)) + 17 + -15.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 2\/7, -2\/53, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.6. Let a = 0.15 - 0.05. Let m = 0 - -1. Put w, a, m in decreasing order.\nAnswer: m, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13b2 - -275?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 - 128 - 42 - 20)*(-2*z**2 + 0*z**2 - 4*z**2).\nAnswer: 1638*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.44 + -10.44. Put 3\/2, -0.73, n, 1 in ascending order.\nAnswer: n, -0.73, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3092, 2759, 2416, 2063?\nAnswer: 1700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 481 and 14235.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11387\/5 - -2258. Which is smaller: -19 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avoqovqavvvqvooqvov. What is prob of picking 2 o, 1 v, and 1 q?\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7598537?\nAnswer: 19, 47, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and -4.6967.\nAnswer: -3.75736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 + -69. Let f be -1 + (-10 - -3)*-918 - d. Suppose u + 3*u - 2*m - 12828 = 0, 2*u - 4*m - f = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10188734.\nAnswer: 2, 2087, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, e: 1, l: 3}. What is prob of picking 2 u and 2 l?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 10*s + 10*s.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 9:22 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -62, -86, -110, -134, -158?\n\"Answer: -24*i - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnslninlf. What is prob of sequence fsi?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 807303142*j**3 + 438417027*j**2 wrt j.\nAnswer: 4843818852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -269*h + 54. Does 80 divide l(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 429, 969, 1725?\nAnswer: 2697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*u - 0*j - 10, 2*j = 4*u + 2. Suppose 0 = -2*q - 4*o + 24, -q = -4*o + u + 5. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/61? (a) -0.4 (b) -0.15 (c) 0.4 (d) 0.1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/9 (b) 3 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4641.\nAnswer: 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 times 20086?\nAnswer: 5985628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2\/3 (c) -360\/17 (d) 27\/110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -169b301?\nAnswer: -169b304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.08, 3, -4, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 8. Suppose 2*y + 3*k = -24, -y = -0*y + 2*k + 14. What is the units digit of (39\/(y\/o))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**6\/135 + 7*h**5\/270 - h**4\/54 - 8*h**2. What is p in g(p) = 0?\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -293789343*n**3 + 622555927 wrt n?\nAnswer: -881368029*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, a: 1, z: 2, j: 3, p: 7}. What is prob of sequence jrz?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 8:54 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 961 = 6*j - 2*j, 0 = 5*i + 3*j - 1621. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45321134 (base 6) to base 15\nAnswer: 1c39cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -752200.5 and 0.051649.\nAnswer: -752200.448351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j - 26. Let p(g) = -g + 1. Determine -m(a) + 4*p(a).\nAnswer: -2*a + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2*sqrt(147)*6 - (sqrt(147) + 2*sqrt(147) + -1)))**2 + sqrt(36)\/(sqrt(108)*2) + -5*(-1*sqrt(300))**2.\nAnswer: -5039*sqrt(3)\/6 + 31591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13 - (-4 - -8)) + -17. Let b be n - (-8 - (-4 + 7)). Let 2\/3*v - 1\/6*v**b + 0 - 1\/2*v**2 = 0. Calculate v.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 1, p: 5, c: 3, t: 4, a: 1}. Give prob of sequence pt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*z**3 - 34659*z**2 - 292146*z - 111312.\nAnswer: 3*(z - 2319)*(z + 8)*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -315354.\nAnswer: 157677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -95248 divided by 3\nAnswer: -95248\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3729884, -3729826, -3729768, -3729710?\nAnswer: -3729652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1645 and 74\/1785?\nAnswer: 83895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -10 + -6 + (-6 - -5) + -2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15271360 rounded to the nearest one hundred thousand?\nAnswer: -15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*2 + -2 + -1 + ((sqrt(3) + -2)*-6 - sqrt(3)) + (sqrt(27) + sqrt(432) - sqrt(3)))**2.\nAnswer: 270*sqrt(3) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -46 (c) 562 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6130 and 89498?\nAnswer: 447490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a + 116. Let i be p(-6). Let k = 6 + i. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - c + 0*c + (1 + 2 - 1)*(c + 5 - 5))*(27620*c - 70548*c + 32582*c) to x + r*c**2 + q*c and give r.\nAnswer: -10346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000037129 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/17 - 3\/(816\/(-172)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, -151, -138, -109, -58?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/6260 and -73\/728038.\nAnswer: 7280380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/16 or 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1385362261 to the nearest integer?\nAnswer: 37220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = 2*m, -158*r + 2 = 4*m - 157*r. Factor 15\/8*z**4 + 0 + 3\/4*z**2 + 21\/8*z**3 + m*z.\nAnswer: 3*z**2*(z + 1)*(5*z + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4191)\/1270 + (5 - (-27)\/(-6))\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1076, -1082, -1088?\n\"Answer: -6*f - 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by -2\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 4*h + h. Let t = h + -29. Calculate the greatest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i**2 + 28 + 26*i**3 + 36*i + 2*i**4 + 3*i - 65*i - 16*i**2 = 0 for i.\nAnswer: -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 22. Let v(c) be the first derivative of c**4\/4 - 2*c**3 - 16*c - 4. What is the units digit of v(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4360.2482 to the nearest integer.\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.543 - 25.8. Let p = 0.25541 + n. What is p rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 29227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0, 4, 3\/7, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2684 and 3172?\nAnswer: 34892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {u: 4, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2186826g in kilograms?\nAnswer: 0.0002186826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3014*m + 1524*m + 1499*m.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 36*g**2. Suppose d + 18 = 20. Let h(i) = 4*i**2 + 4*i - 4*i - d*i**2. Determine h(n(q)).\nAnswer: 2592*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 535273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -7.98201?\nAnswer: -8.08201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 339 and 452.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 96*s + 2. Let x(d) = 145*d + 3. Let h(p) = -8*n(p) + 5*x(p). Let w(v) = -26*v**2. What is w(h(z))?\nAnswer: -48074*z**2 - 2236*z - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -1 - 3. Let j(f) = -2*f**2 + 6*f + 9. Let a = 253 + -255. Let w be j(a). Put -5, b, w in ascending order.\nAnswer: w, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-744)\/(-682) - (-42766)\/22. Which is smaller: p or 1943?\nAnswer: 1943","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/618 and -1 + 7 - (-8 + 246943\/17613).\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 645.3 + -644.7481. What is o rounded to 2 decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + (-33)\/(-9))*(-2 - 1). What is the common denominator of 16 and (-64)\/(-96)*c\/((-4)\/(-31))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 times -0.3095\nAnswer: -22.5935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 4. Let w be y(2). Let z be w\/21*(-14)\/6. What is the third biggest value in 1, 1\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2187102 divided by -5\nAnswer: 2187102\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10728572*a**3 + 348*a - 2351 wrt a?\nAnswer: -64371432*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-12)*(-2)\/((-90)\/(-9)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 124 = 28. Suppose 17*z - 6 = p*z. Solve -4*o + 2*c + z = 0, 15 = c + 4*c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -49287, -98955, -148623, -198291, -247959?\n\"Answer: -49668*y + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 3*x + 3. Let y(w) = 6*w - w + 0*w + 5 + 3*w**2. Let u(i) = -5*g(i) + 3*y(i). Let o be u(1). Put o, 2, 3 in descending order.\nAnswer: 3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3 - 11161*x**2 - 31069307*x + 405789397 = 0. Calculate x.\nAnswer: -5587, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 997 (b) -2\/7 (c) 170 (d) -0.4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 133*v + 26. Let r(p) = p. Let u(x) = f(x) - 6*r(x). Let q be u(-2). Find the common denominator of 3 + -13*(-54)\/q and -121\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**3\/2 - 17*v**2\/2 - 32*v - 24 = 0.\nAnswer: -12, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 - 3*j**2 - 2*j**2 + 10*j**2)*(-3*j + j + 0*j).\nAnswer: 6*j**4 - 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 0*w - 11*w - 4*c - 4 = 2, 0 = -4*w - 323*c - 1671 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 231076 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-9)\/15 - (22 + -20). Let u = -0.18 + 0.55. Let l = u + -0.45. What is the smallest value in l, 1\/4, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(0 - -20) - (-10 + 37848\/(-10)). Does 3794 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 9*q - 12. Let r(h) = -4*h**2 - 37*h + 49. Let v(s) = 2*r(s) + 9*z(s). Calculate v(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11616 and 67230.\nAnswer: 130157280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -3)*(4 + -1). Suppose -52 = -d*n - n. Calculate the remainder when 24 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 26*f + 16. Let p(r) = r - 1. Let i(y) = y + 7. Let j(o) = -i(o) - 4*p(o). Suppose z = 3*b - 9, -2*b + b - 2*z + 3 = 0. Give b*w(l) + 16*j(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 22986?\nAnswer: 114930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqklgqqttklt. What is prob of picking 1 m, 1 t, and 1 l?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrwzwiiirwwwpi. Give prob of sequence pz.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 v when three letters picked without replacement from {r: 6, a: 4, v: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1081399 and 407.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 4*a - 4. Suppose 0 = 4*r - 2*f + 8, -r - 5*f - 25 + 1 = 0. Let d(c) = -c**3 - 5*c**2 - 5*c. Let h be d(r). Give z(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 1 + 5. Let w be g\/9 - (-40)\/18. Find the first derivative of 2*v**3 - 2*v**3 - 4*v**4 - 1 - w wrt v.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 212 = -5*z. Let q = -38 - z. Suppose q*s = 10*s. Is -2\/15 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8012 - 47951\/6. Find the common denominator of 49\/10 + (-3)\/(-6) and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 28 = -2*k, 13 = 2*k - 5*c - 16. Let u = k + -10. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-2\/9)*r)**(2\/19)\/(r\/(r*r**(-16)\/r)*r*r**(8\/7)) assuming r is positive.\nAnswer: r**(-22508\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 0.2, 2673, -1715?\nAnswer: -1715","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*u = -0*w - 6, -5*u = 3*w + 11. Let l(i) be the first derivative of -1\/2*i**2 - w - i. Determine l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r = 12*r - 33*r + 70 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, c: 9}. Give prob of picking 2 q and 1 c.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 17*i + 17. Is 7 a factor of p(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 7:49 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((17 - 20 - 3) + -50 - 6).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -715\/9 (b) -1\/2 (c) 0.4 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - 111*n + 758. Let k be j(9). Which is the closest to k? (a) -0.1 (b) -2 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 31. Let w = 5 + k. Put w, 1, 5 in increasing order.\nAnswer: w, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 102*(40\/(-12) + 4). Let h = w - -245. List the prime factors of h.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(5 + 0 + -4). What is the second derivative of 18*o**3 - c*o**4 + 21*o**3 + 8*o - 39*o**3 wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 9827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 5:44 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 464 = 5*g. Calculate the remainder when (3\/(-6))\/(4\/g) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 3*y + 3. Let n(t) = t + 1. Let x(b) = 3*n(b) - q(b). Let o(z) = -9*z**2. Determine x(o(v)).\nAnswer: 81*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 505866055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + i - 2*i)*(-3 + 2 + 3)*(-108 + 19 + 48).\nAnswer: -164*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11217 - -11307. Calculate the lowest common multiple of t and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddcddddddcd. What is prob of picking 2 c and 1 d?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/10 and -59\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3 = -5*p, -99343*i + 3*p - 11 = -99348*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -48828 rounded to the nearest 1000?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/121784 and -33\/4267124.\nAnswer: 110945224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 8\/119?\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 62909 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -16. Let f be 54\/21*280\/m. What is the highest common divisor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.97 - 0.9?\nAnswer: -1.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -462 at most as big as -460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amaaattattanmntmtta. What is prob of sequence nt?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2654237 take away 0.13429?\nAnswer: -2654237.13429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1474, -2, -155 in increasing order.\nAnswer: -1474, -155, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5116, -10193, -15256, -20299, -25316?\n\"Answer: w**3 + w**2 - 5087*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73301 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 3*a**4\/4 - 4*a**3\/3 - 495*a**2\/2 + 144. What is the second derivative of p(b) wrt b?\nAnswer: 18*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 32\/501 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3947 and -5.\nAnswer: 3942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4 + 399*o**3 - 12966*o**2 + 81664*o + 218400 = 0. Calculate o.\nAnswer: -2, 12, 25, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 3919084.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m**3 + 62*m**2 - 54*m - 28. Let q be b(11). Sort q, 1, -8 in ascending order.\nAnswer: -8, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.48? (a) 82 (b) 1922 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2430*x**3 - 35*x - 104. Let n(t) = 405*t**3 + 6*t + 16. Determine 13*n(y) + 2*v(y).\nAnswer: 405*y**3 + 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/32)\/(9*1\/36).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 7*t**2 - 7 + (-2*t - t + 4*t)*(-2 + t + 2) + (4*t - 2*t - 4*t)*(0*t - 2*t + t) + 2*t**2 + 5 - t - 1 + 2 to g*t + z*t**2 + u and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from sgeqgsqssggggsggsgt?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = j, 4*j - 5*r = j - 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7737 + 23a04?\nAnswer: 2b43b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 6. Suppose -y*b = -0*b. Let v be b*((-18)\/8)\/9. Solve 5*n + 5 = v, 4*s - 2*n + 6*n = -20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1 - j**2 - 3*j**2 + 2*j**2 + j**2. Suppose -3*k + 5 = -h, -2*k + 22 = 5*h - h. Let q = -2 + k. What is m(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 142028 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/234 and -31\/6?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2350551 is divided by 3633?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -2 (b) 6 (c) 55\/578\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-5)*(-5)\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5856397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2696 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 35*q - 17*q + 5*q**3 - 1 - 1 - 16*q + 3*q**2. Calculate the lowest common multiple of z(2) and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -4130?\nAnswer: 4124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15242535 (base 7) to base 14\nAnswer: 29c855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -8) + 5 + -7 - 5. Suppose -3*j + 7*j + s - 15 = 0, -4*j + 40 = -4*s. Let x = 8 - j. Is b bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -1, 0, -418, 3, 9, -2.\nAnswer: -418, -2, -1, 0, 3, 9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zczzczszzscsszc. Give prob of picking 1 z and 2 s.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-5) + 4\/20. Let w be (-3)\/(o + (-21)\/6). Let s = -4 + 3.9. Which is the nearest to s? (a) 0.1 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/525*21*5\/(-2))\/((-315)\/14).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3579 divided by -1\nAnswer: -3579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 3. Suppose 2 + 13 = -3*l. Let u be w(l). Let z = u - -14. 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: Let q(w) = 3*w**2. Let k be 1\/2 + (-1725)\/30. Let m = k + 61. Let x(h) = 2*h**2. Determine m*x(s) - 3*q(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-25))\/(115\/575).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + -1. Let u(r) = -7*r**3 - 5*r + 7. Let s(h) = 13*h**3 + h**2 + 10*h - 13. Let x(d) = -6*s(d) - 11*u(d). What is x(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 46*o**2 + 201*o - 179. What is x(-41)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 52 = -3*i, -4*h + 39 = -4*i + 3*i. Let o = i + 25. List the prime factors of 8\/3*o\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23.47 - -4.53. Let s = c + -28.00682. Round s to 4 decimal places.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(704) + -1*sqrt(704)) + sqrt(704) + (sqrt(704)*-2*2 + sqrt(704) + sqrt(704) + sqrt(704))**2.\nAnswer: 8*sqrt(11) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 7:50 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*o**5 + 63*o + 6?\nAnswer: -160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-269 - -165) + (7 - 2) + (6 - -7).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 18, 9, -0.3, -2\/5, 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 4*r - 3*g, 43*r + 2*g = 42*r - 30. Sort 33, -1, -4, r in descending order.\nAnswer: 33, -1, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + i = -84, -g + 5*i + 6 = i. Suppose -2*b - 13 = -4*c - 1, 2*b - 3*c + 8 = 0. Let j(t) = 7*t**2 - 8*t + 8. Let y be j(b). Is y < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*p**2 + 0 - 6*p**3 - 1 + 5*p**2 + 3*p**4 - 19*p**2 - p**4 to the form j + o*p**4 + q*p**3 + d*p + c*p**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 1. Let t(i) = 8*i**2 - 16*i + 5. Let c(b) = -t(b) + 5*x(b). What is the second derivative of c(f) wrt f?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/6)\/((-695)\/1946)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j + 2*j - 5*j + (1 - 1 - 2)*(-2*j - j + j))*(10*j - 15*j + 4*j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(-5))\/(391\/115 + -3). Solve -576 = v*f - 584 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367487, -367688, -367889?\nAnswer: -368090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*2 - ((-20)\/(320\/504) + 20)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = -v, 2*v - 7*v = -n - 10. Suppose 0 = -9*y - n*y. Find the common denominator of (-16)\/(-56) + (-456)\/518 + y and 37\/7.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 26 - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68836215 to the power of 1\/3, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1332 and 89\/1332.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + (-2*sqrt(147) + 1 - 3*(sqrt(27) + 1))))**2.\nAnswer: 1472*sqrt(3) + 25456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6695 - -184?\nAnswer: 6869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 7) in base 12?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7430163*n - 11*n**3 + 7430163*n - 3*n**3 + 3*n**3 + 2*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 - 54025.4?\nAnswer: -54222.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2320.71mg to kilograms.\nAnswer: 0.00232071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 11*b**2 - 8*b + 28. Let d be m(-12). What is d rounded to the nearest 10?\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12062 + -2939. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 0, -4, -2 in descending order.\nAnswer: 0, -2, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*h - 23 = 0, h - 42 + 15 = -5*t. Suppose c - 33 = -t. Solve -2*s + 6 = 2*p, -4*p + 8 - c = -4*s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451522293 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 2, 899651 in descending order.\nAnswer: 899651, 2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*r = -5*p + 1753, 4*p = 5*r + 1392. Is p a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25)\/66 - (-2)\/(-12) - 0. Let o = -2391\/2 - -1196. What is the smallest value in o, 2\/9, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -3, 0.1, 3\/5, 41\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-54)\/18*2\/(-6)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -200 - -298. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (262\/(-131))\/(1 - (-16)\/(-12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/3 - (9 + -4 - -9) - 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tlllltllllltll. What is prob of picking 1 l and 3 t?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -870.947 - -2.047. Round x to the nearest ten.\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 22 in ascending order.\nAnswer: -1, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4521613.\nAnswer: 227, 19919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2035 = -36*o - 1423 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = h + 2*q, h + q - 15 = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hootohhoooohhhth. What is prob of picking 2 h, 1 o, and 1 t?\nAnswer: 21\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 16.5, 14440 in ascending order.\nAnswer: -2, 16.5, 14440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5482 (base 16) in base 11?\nAnswer: -15288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320 divided by -30.\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 75 = 12*a - 11*a, v - 2*a = 10. Let w be 2\/v*4*45\/18. Let i(n) = 2*n**3 + 2*n - 1. What is i(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5.8. Let s = g - 0.2. Let n = s - -1.5. Which is the nearest to -2\/3? (a) -0.3 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2065 + 16?\nAnswer: -2046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-10 - -3) - -9. Let k(p) = p**3 - 8*p**2 - 10*p + 8. Calculate k(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 16*f**5\/5 - 7*f**4\/4 + 1844*f**3\/3 - 905*f. What is the second derivative of a(t) wrt t?\nAnswer: 384*t - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -139*u + 133. Let g be y(-12). Suppose 6*m - g = 5*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 3*x - 6 = -4, 10 = -l + 2*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3. Let n = 5 - 9. Is s at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 350511 - -11?\nAnswer: 350522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2*(-4)\/24)\/(-1). What is the second smallest value in 1\/5, r, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azcrrrazczczz. What is prob of picking 1 a and 2 r?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3118*b**3 + 0*b + 0*b + 0*b + 1595*b**3.\nAnswer: 4713*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3371\/3 + -3370\/3. Let k = -2 - -6. Let p = k + -4.5. What is the closest to 6 in p, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -12.4, -0.1, 7 in ascending order.\nAnswer: -29, -12.4, -0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**7\/210 - 7*y**5\/60 + 6*y**2. What is the third derivative of p(h) wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4 = 4. Factor -6 + 0*h**2 - 3*h**2 + 9*h - 2*h**2 + z*h**2.\nAnswer: -3*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 - -123. Solve y = -6*d - 7 - 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5\/4 + 219*c**4\/4 + 1197*c**3\/2 + 1968*c**2 + 1992*c = 0.\nAnswer: -4, -2, 0, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -65. Let j(i) = -2*i**3 + 2*i**2 - 2*i - 1. Let q be j(2). Let d = y + q. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v + v + 85 - 88. Let y be ((-22)\/(-55))\/(3\/(585\/6)). Let s(n) = -2 - 8*n - y*n + 24*n. Calculate 2*p(h) - 3*s(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1379239 (base 13) to base 3.\nAnswer: -102120222222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84.3 + -82. Let z = -2.7 - j. What is the second smallest value in 1\/5, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.34734034 to 2 decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**15\/c)\/(c**(-13)\/c))\/(c*(c\/(c*c*c*c\/(c*c**20)*c*c))\/c*c*c**(3\/14)*c*c*c) assuming c is positive.\nAnswer: c**(123\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, l: 1, k: 2}. What is prob of sequence lkk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2484 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 4. Suppose -c*b = -0*b - 12. Calculate the remainder when b is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**5 - 1168*d**4 - 125232*d**3 - 5844328*d**2 - 101713612*d - 95993352 = 0?\nAnswer: -91, -63, -46, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-198)\/4*87104\/(-239536)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 924\/3850*375\/100.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3604070 is divided by 1802030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*x + 2058 = -49*x + 11*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/18152 and 113\/816840?\nAnswer: 816840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, q: 2, u: 5}. Give prob of sequence qbuu.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2973, 6168, 9425, 12774, 16245, 19868, 23673, 27690?\nAnswer: 31949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.18 + -0.18. What is the second smallest value in 0.1, -0.2, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 7. Let u(r) = 1. Let y(i) = -k(i) + 5*u(i). Let d(t) = -t + 1. Let b = 19 - 18. Calculate b*y(c) + d(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23969\/5 <= 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/70 and -47\/240.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.28 - -3.68. Let l = -4 + 1. Which is the closest to -2\/13? (a) -2\/17 (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**3 - 4*p**2 - 31*p - 8. Let z(i) = -i**3 - i**2 - 1. Let v(b) = d(b) - 6*z(b). Find the second derivative of v(w) wrt w.\nAnswer: 18*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-51)\/(-12) - 2\/8. Let y(t) = 9 + 0*t**2 + 7*t - 5 + t**2 + x. Is y(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3616503607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2066605*w**6 - 1548893*w**2?\nAnswer: -247992600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, k: 11}. Give prob of picking 2 u and 2 k.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -320, -339, -350, -353?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 12*t + 228*t + 395*t.\nAnswer: 3*t**2 + 635*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 12. Let k(o) = -o**3 - 4*o**2 + 5. Let h(n) = n + 1. Let z be h(-5). What is the remainder when y is divided by k(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*a**3*v - 4*a**3 - a*v + 53*v - 232 wrt v.\nAnswer: -30*a**3 - a + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avyaaaayyqyqqaaqxqqa. What is prob of sequence yy?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -731, -1\/2, -0.31, -0.4 in ascending order.\nAnswer: -731, -1\/2, -0.4, -0.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3\/17 - 3628*p**2\/17 + 1634360*p\/17 + 9937200\/17 = 0 for p.\nAnswer: -6, 910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 5*q = 4*k + 47, 3*q - 57 = -3*k. Calculate the remainder when k is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 25. Suppose 4*r = -0*r - f. Let s be (0 - 0) + r + 5. Is 3\/2 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyybbyyb. Give prob of sequence bbyb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = -7*u + 10*u - 4*i, 4*i = -3*u + 228. Suppose 0 = 4*z + 2*o + 2 - u, 0 = -z + 4*o + 4. Calculate the remainder when 71 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456 divided by -3.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*x - 2*y, 3*x - 5 = 4*y. Let a be 1\/x - 304\/80. Let b = 4 - 7. Put 4, a, b in descending order.\nAnswer: 4, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33832909 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 27, 0, -1, 3, 8, 2 in descending order.\nAnswer: 27, 8, 3, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5107616 is divided by 1164.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -121240 - -3647?\nAnswer: -115371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 - r**2 - r. Let s be f(-1). Let w(t) = t**2 - t. Let z be w(-1). Let p be ((32\/4)\/z)\/(2\/(-3)). Is p greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, y: 2, g: 3, r: 6}. What is prob of picking 1 r and 2 g?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -728433*g - 337064 wrt g.\nAnswer: -728433","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.136 (c) 2\/3 (d) -2\/9 (e) 5\/167 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/11 + 3056*q**4\/11 + 106918*q**3\/11 - 755024*q**2\/11 - 9720*q + 751968\/11 = 0. Calculate q.\nAnswer: -1492, -42, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 + 13241*o**2 - 52967*o\/2 + 13242.\nAnswer: (o - 1)**2*(o + 26484)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 - 4 - (-2 - -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.35 + -0.65. Suppose -j - 1 = -5. Suppose 0 = -2*s - 5*m, j*s = 3*m - 7*m. What is the second smallest value in s, x, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q + 3*q - 50. Let w be 14\/((-2394)\/(-837)) + (-4)\/(-38). Solve w = 4*y - q*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4 (b) -110 (c) 2\/85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**4*w**2 - 27567*l**4 - l**2*w**2 - 3*l**2 - 288*l*w + 24*w**2 wrt l.\nAnswer: -72*l*w**2 - 661608*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3 - 14*c - 7*c - 13*c + 21*c + 11. Calculate l(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3279080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7075.\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 = -10. Suppose 6 = -3*n - 0, 3*p = 3*n + y. Suppose 0 = -p*h + 457 - 118. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 0 + 293*o - 292*o - 1. Let z(l) = 4*l - 6. Calculate -3*n(d) + z(d).\nAnswer: d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2224d - cd?\nAnswer: -2233c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*m**2 + 3877410*m - 7754688.\nAnswer: -3*(m - 2)*(11*m - 1292448)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 8, u + 3*c = 22 + 3. Suppose 0 = 5*v + 2*d - u, 5 = -2*v - 3*d + 8*d. Solve l = v*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5186\/7 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - 2*p + 2*p)*(-3 + 3 + 2) + (3*p + 0 + 0)*(-5 + 0 + 3) + 5 - 5 + 2*p - 24*p - 1675 + 1675 to f + q*p and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*v - 3*r, r + 4*r = -v - 36. Let t(i) = -i**3 - 7*i**2 + 3*i - 8. Let x be t(-7). Let p = v - x. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 3*f - 23. Calculate l(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*s**3*w*y - 946*s**3*w - 2*w*y + 1332*w wrt s.\nAnswer: 6*s**2*w*y - 2838*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*j**5*u - j**4*u + j**3*u**2 + 109*j**2 - 2*u**2 wrt j.\nAnswer: 1620*j**2*u - 24*j*u + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 80 + -106 + 55.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231620 - 232095 - 32*i + 463713.\nAnswer: -32*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 33*o**2 + 63*o - 29. Let h be a(31). Let y(b) = b**2 - 4. Let c be y(3). Differentiate c + 3 - 2*t**3 - h with respect to t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-2 + 3 - 2)*((1 - 5 + 0)*(0 - n + 0) - n - n + n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 2\/23179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - j - 2*s - 2, 5*s = -5. Which is the smallest value? (a) -4 (b) j (c) 0.5 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 413 - 305. Suppose 2*q - o = -7*q. Solve 16 - q = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, t: 5, p: 1, y: 3}. Give prob of picking 1 c, 1 p, and 2 y.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 11*f - 264 = -19*f - 28*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234395, 468945, 703495?\nAnswer: 938045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -571\/5 - -115. Let b be ((-2)\/10)\/(-5 - 238\/(-49)). Sort v, b, 1 in increasing order.\nAnswer: v, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3505707 divided by 1.\nAnswer: -3505707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 63*y + 30. Calculate l(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9151574 and 764.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 >= -521379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 92805 to the nearest 100.\nAnswer: 92800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 102217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 12:58 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**5*y + 43*s**4*y - 4*s*y + 4*s - 2*y wrt s.\nAnswer: -20*s**3*y + 516*s**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*a + 645 = h, 4*h = a + 496. Let t = -96 + 171. Calculate the highest common divisor of t and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-27)\/15 + 2). Suppose 0 = 7*o - y*o + 2. What is the units digit of o*(-148)\/(1 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 6, -4*o - 125 = 1088*n - 1095*n for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49976029?\nAnswer: 1097, 45557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 468*o**2 - 16*o - 16. What is f(-1)?\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, l: 7, u: 1}. What is prob of picking 1 j and 3 l?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156091.\nAnswer: 13, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*k**3 - 51*k**3 - 48*k**3.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 196, 424, 650, 874, 1096?\n\"Answer: -q**2 + 231*q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 7*n + 21. Let m be o(-9). Let v = m - 35. Solve -2 = 2*x - v*d, d - 3 = -x - d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(88)\/sqrt(8) - 5*(-2 + sqrt(11)))**2 - (3 + 3*(sqrt(99) - (sqrt(99) + (sqrt(99) - -4*sqrt(99) - sqrt(99))))**2).\nAnswer: -3764 - 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9629*o - 587327. Give c(61).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 6:24 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeet when four letters picked without replacement from {e: 2, o: 1, t: 9, w: 6}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1305013 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 546708 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-315)\/36)\/(-10)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -763124 - 3?\nAnswer: -763127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 16 = 6*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3344 is divided by 59?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**4 + 4*g**4 + 0*g**4 + (3*g**3 + 3*g - 3*g)*(-4*g + 3*g + 0*g))*(-170 + 117*g + 170).\nAnswer: -234*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-5)*2*12\/(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*r - 213*r + 12 - 125244*r**2 + 125246*r**2 to t*r**2 + u*r + h and give u.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 28 - 7)*(-u - 2*u**2 + u).\nAnswer: 94*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 30*b**2 - 18*b - 109. Determine v(31).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.4678139 to 3 dps.\nAnswer: -20.468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 5 (c) -15 (d) 345 (e) 23\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12531 + 13275. Calculate the highest common divisor of t and 648.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20615 + 20615. What is the biggest value in -3, 2\/31, k, -5, -1?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c (base 13) to base 10.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, 13, -5, 2, 5 in ascending order.\nAnswer: -5, 2, 5, 13, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, v: 5, o: 3, g: 7, b: 2}. What is prob of picking 1 o, 1 g, 1 b, and 1 p?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 12 = -12*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 8*w - 7. Let l be d(7). Suppose b - 5 + 3 = l. Suppose -4 = -2*q - b. What is the highest common divisor of q and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2322.1 - -311.1. Let m = -2011.00001519 - z. What is m rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1612 and 1344?\nAnswer: 541632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 9. Let r be l(0). Let o = r - 6. Solve 4*f - 2 = -2*w + 2, -2*f - 2 = o*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 12*j + 63 = 0. Solve -r = -5*h + 5 + 7, 2*r = -5*h + j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 9) in base 12?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j. Let t be c(-5). Let o = 9 + t. Suppose -n = o*n - 20. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/(1740\/30)*(-2)\/((-2)\/(-53)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53526*l + 53478*l = -384 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 2*b + b**3 + (b - 2*b + 3*b)*(0*b + 0*b - 2*b**2) + 3*b**3 + 3*b**3 - 4*b**3 + 0 + b**3 + 0 - 22*b + 21*b**3 - 44*b**3 + 25*b**3.\nAnswer: 2*b**3 - 22*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**5\/4 + 279741*m**4\/4 + 12862353*m**3\/4 + 57318615*m**2\/4 = 0?\nAnswer: -93201, -41, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16119?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31 - 36 - 10 - 47)*(5*n - 4*n + 3*n) to the form h*n + c and give h.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27\/4 + 11\/2. Which is the smallest value? (a) 1 (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1734 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 4 - -3)*16\/(-28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnexvreemmmm. Give prob of sequence ev.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 8) to base 14.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1550*x - 1716*x + 5810 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-5)*(-2 + -13). Let d(q) = -2*q**3 + 8*q**2 - 15*q + 4. Let p be d(m). Does p = -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-16 + 13)) + (-1 - (4 - 8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 41*v + 84. Let c(b) = 42*b + 101. Let g(k) = -5*c(k) + 6*w(k). Let x(p) = 2*p. What is x(g(u))?\nAnswer: 72*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 + 0 + 0)*(-2*m + 2*m + m**2) - 543*m**2 - 20*m**4 + 543*m**2 in the form v*m**4 + g*m**3 + j*m**2 + t + y*m and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + sqrt(1100)))**2 + 4*(sqrt(11) - (sqrt(11) + sqrt(55)\/sqrt(5)))*-4.\nAnswer: 76*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*l - 19. Let k = 45 + -40. Suppose -k*q - 2*q = 70. Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3434, 3889, 4670, 5783, 7234, 9029, 11174?\nAnswer: 13675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 4:16 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 35 = 3*i - 5, -5*i = 2*b - 76. Solve -2*l - 8 = 2*k, 2*l + k = -2*l - i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 7:56 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -4. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(-3 - 1 + 2)*(-2*q - 2*q + q).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 7:07 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 67544808.3 to the nearest one million.\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12473 is divided by 4152.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 135*l + 135*l - l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32191012*r**2 - 53216327*r?\nAnswer: 64382024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -423545?\nAnswer: -423545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 11 + 7)*(-2 + 5 - 1)*(15*a**5 + 52*a**5 + 10*a**5).\nAnswer: 770*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2263*p + 4522*p - 2281*p + 251)*(4*p**3 - p**3 - p**3).\nAnswer: -44*p**4 + 502*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * 0.23.\nAnswer: -4.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 16.1438 weeks?\nAnswer: 9763770240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1430*l**5 - 582*l**3 - 2*l**2 - 43676803*l wrt l?\nAnswer: 28600*l**3 - 3492*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8 + 2 + 16*p - 4 + 2. Is 25 a factor of z(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**5 + 24840*l**4 - 51369096*l**3 - 205774560*l**2 - 205873968*l = 0.\nAnswer: -2, 0, 4142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 29683 (base 13) to base 6\nAnswer: 1401104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -191 + 191. Suppose 3*y + n*y + 4*h - 311 = 0, 5*y - 2*h = 553. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 9*x**2 + 12*x - 1. Let z be (-1)\/((-2)\/8*(-8)\/(-18)). What is the tens digit of p(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95588.828726257 minus 0?\nAnswer: 95588.828726257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 70*x + 415. Let b be a(-6). Put b, 4, -4, 0 in descending order.\nAnswer: 4, 0, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 371 and 6\/15*6\/4 + (-624)\/(-10).\nAnswer: 3339","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 36 = z + 4*u, 114 = 5*z - 2*u. Let p be -25*(-1 + -2 + 2). Let t = p - 12. Calculate the remainder when z is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfi when three letters picked without replacement from {f: 5, i: 2, j: 1, s: 1, h: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 551298 a multiple of 636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121 - -116. Which is the fourth smallest value? (a) -0.5 (b) -2 (c) y (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*f - 70 = 0, 3*f - 2*f + 18 = s. Suppose 0*c + 2*c = 90. What is the remainder when c is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3338?\nAnswer: 2, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*z**5 + 9*z**3 + 649170*z**2 - 23*z - 1734538 wrt z.\nAnswer: -100*z**3 + 54*z + 1298340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3591724928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 18*j**2 - j - 1. List the prime factors of t(2).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-18)*k)\/k**(-7\/2)*(k\/(k*k*k**(-7)))\/k*k**1 assuming k is positive.\nAnswer: k**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 3*s - 5*s + 6.\nAnswer: -2*s + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -214\/3 not equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -12. Let o(a) = -7*a - 2. Let q(u) be the first derivative of -2*u**2 - u + 20. Give b*q(d) + 6*o(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/2))**(-50)*i\/(i*(i\/i**(4\/7))\/i)*i*(i\/(i*i**(-3)))\/i*i*(i*i**(-2\/5)\/i)**(-1\/16)*i**(-5)\/(i\/i**5*i) assuming i is positive.\nAnswer: i**(-20273\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**2 + 14*v - 6. Let x be h(-5). Let w be -2 - 1 - x\/(-21). What is the second smallest value in 1\/10, w, 3\/8?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, y: 4, s: 6, g: 4}. What is prob of sequence ysy?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3356126509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -530, -7, 1, -6, 5, -1 in decreasing order.\nAnswer: 5, 1, -1, -6, -7, -31, -530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + l**2 + l + 55. What is the remainder when q(0) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10113 <= 111255\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 4:37 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 a, and 1 c when four letters picked without replacement from {w: 1, h: 2, c: 5, k: 2, g: 1, a: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -377*o + 630 + 6565 + 8262 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -160 + 142. Is 52 a factor of ((-3816)\/v)\/(3 - (0 - -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67902.\nAnswer: 2, 3, 11317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 229, 235, 253, 289, 349, 439, 565?\n\"Answer: c**3 - c + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 k, 1 t, and 1 r when four letters picked without replacement from ddbtwtkrtdb.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7*(2 - (-40)\/(-14)). Let t be (2\/a)\/((-3)\/4383). Suppose 3*v = -2*v - 15, 5*s - 4*v = t. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 8 = 34. Let n = 8 - k. Solve -2*p = -4*o + 18, 8 = -n*p - o - 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 * 5\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 243738?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1*5\/(-15))\/((-3)\/2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**3 - 309*l + 619. Determine v(2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 - -88. Let u = -5 + 8. Let w = u - 6. Which is greater: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31642 and 1127854.\nAnswer: 1372598318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/1558 + -14507\/755630. What is the common denominator of s and 50\/9?\nAnswer: 4365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -34*b + 12. Let x be k(6). Let m be (x\/10)\/((-5)\/25). Suppose -3*h + 180 + m = 0. Does 23 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 8. Suppose 44 = 4*r + 3*c, -4*r + 2*r = -5*c - 22. What is the remainder when r is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 12 = 2*u, -3*u = 4*n - 3 - 7. Find the third derivative of -11*r**6 + 2034*r - 2034*r - n*r**6 - 15*r**2 wrt r.\nAnswer: -1800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 29.6. Suppose q = 86*g - 90*g + 4, -2*g = -2*q - 2. Are q and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(-2)\/64 - (-99)\/(-24). Let m be 4\/(-48)*-9*4. Suppose -5*b + 1 = m*c, -2*b = -3*c - 6*b - 4. Which is greater: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k - 28. Let h(r) = -8*r - 23. Let z(o) = 3*c(o) - 4*h(o). Determine z(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 13*g**3 + 9*g**2 + 18*g + 5. Let j(k) = 39*k**3 + 26*k**2 + 48*k + 14. Let y(m) = 4*j(m) - 11*p(m). Give y(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 1 (b) 3\/2 (c) -1\/3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2418\/9*(-9)\/6. Does 13 divide (1*a)\/(25 + -26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(448) + 1 + 2 + ((sqrt(448) + 1)*-4 - sqrt(448)))**2.\nAnswer: 64*sqrt(7) + 7165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 35 = -2*v, 11 + 9 = 3*u + v. Let m(g) = 267*g + 50. Is m(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + -1 + -2)*-55*4. Let r be 7\/((-315)\/i) - (-15)\/(-3). Which is smaller: r or 12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -273*u - 1. Let x be q(7). Let g = x + 1112. What is g rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 1. Let g(l) = 4*l**2 - 11. What is -3*g(x) - 15*s(x)?\nAnswer: 3*x**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102213 (base 4) to base 14.\nAnswer: -611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 463 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (576\/20)\/((-40)\/(-300)*-3). Sort 5, -5, 3, 14, y in increasing order.\nAnswer: y, -5, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-25) - 120\/(-25). Suppose -d*w + 7773 = -3*p, -12*p - 4643 = -3*w - 5*p. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czzczczzzczzc. What is prob of picking 1 c and 1 z?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -32*r + 5. Let u be p(3). Let k = u + 199. What is the greatest common factor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let w(n) = 4*n - 3*n - 4*n + r*n. Calculate w(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*15\/30*180\/50\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (sqrt(20)\/(sqrt(16)\/sqrt(4)) + sqrt(5))) + sqrt(10)\/(sqrt(8)\/sqrt(4)) - (2*sqrt(5)*6 - (-2*sqrt(320) + sqrt(5))))**2.\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3 + 871*t**2 + 9 + 18*t - 560*t**2. Is m(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/2 + 263*c**3 - 4020*c**2 + 20225*c - 67625\/2.\nAnswer: (c - 5)**3*(c + 541)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 3:06 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 take away 1361286599?\nAnswer: -1361286743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 38, 0 in ascending order.\nAnswer: -44, 0, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((1 + sqrt(612) - sqrt(612))*6 - (sqrt(612) - ((sqrt(612) + (-2 + sqrt(612) - sqrt(612) - sqrt(612)) - sqrt(612)) + 1 - sqrt(612)))))**2.\nAnswer: -2880*sqrt(17) + 88528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 166562 (base 7) in base 14?\nAnswer: c332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2577 = -3*n, -4*n - 4*j + 862 = -2574. List the prime factors of n.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -959 and -0.19636581.\nAnswer: -959.19636581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7495097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + (56\/63)\/(-8)*(-2242)\/(-59).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w - 7. Give m(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2781 at most 2778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 141792936*c**2*x**2 + 468*x**2 - 8897*x - 4 wrt c.\nAnswer: 283585872*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82315 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: Which is the fourth biggest value? (a) -0.8 (b) 20\/53 (c) 4 (d) -4\/3 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/5)\/q)\/q*q*q**(-3\/4))**(-39)*(q*q*q**0)**5*(q*(q**(-1\/3)*q*q)\/q*q)**(2\/33) assuming q is positive.\nAnswer: q**(170699\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 62 - 446. Let d = 2157\/17 - q. Suppose w + 4*p = 11, 2 = -5*w - 2*p + p. What is the biggest value in -5, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1860\/(-273) - (-850)\/2210 - (96\/21 - 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1985821?\nAnswer: 17, 199, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -1)*7\/14. Suppose i - 4*i = b. Solve i = -3*a - 2 - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442430101.\nAnswer: 442430101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - (2 - (4 + -2)). Let l = c - -7. Solve -5*h - 10 = -a, -6*h = -3*h - l*a + 18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 0 + 7*n + 1\/3*n**3 + 0*n**2 + 1\/12*n**4 - 1\/30*n**6 - 1\/10*n**5. Factor s(t).\nAnswer: -t*(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107*f**4 + 3540*f**3 - 3540*f**3)*(0*f + 3*f - 4*f).\nAnswer: -107*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3558658, 7117327, 10675996, 14234665?\nAnswer: 17793334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b + 4. Let g(o) = 60*o - 70. Let m(r) = -4*r + 4. Let u(c) = 6*g(c) + 105*m(c). What is f(u(p))?\nAnswer: 180*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3678 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 5, d: 4, l: 8}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8 and 64?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2\/9, -9, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 10:36 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.663 + -0.733. What is p rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**3\/7 - 202*m**2\/7 + 5888*m\/7 - 38088\/7 = 0.\nAnswer: 9, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 2*a - 23 = 0, 3*s - 3 = 3*a - 0*a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 561384 and 1276776.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3313*s + 13875 = 538*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1 + 2 + 0. Let n(y) be the second derivative of y**5\/20 + y**2\/2 + y + 1504. Let v be 2\/(-4)*(-4 + 2). Determine v*q(h) - n(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 - 0.7. Let z = -6 - -6.4. Let x be 0 + 4 - 1\/(-7)*0. Which is the second biggest value? (a) q (b) z (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1\/231 (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1330\/28*(-36)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4*d + 6 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - -88. Let m = d - 19. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -53 - z**2 + 212 - 2*z + 0*z. Let r be p(0). Let b = r - 106. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*z + 30, 16 = 5*z - 5*g - 34. Let k(o) = o**2 - 2*o - 1. Let f be k(3). Which is the closest to 0? (a) z (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63326 - 5803 = 3*h + t, 19166 = h + 2*t. List the prime factors of h.\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -143, -488, -1147, -2222, -3815?\nAnswer: -6028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 227 + -250. Let i(p) = p**3 + 22*p**2 - 25*p - 2. Let s be i(y). Solve 40 = 4*t + s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**5\/24 + r**3\/3 - 9. Let h(y) be the third derivative of v(y). Let s(w) = 3*w. Give h(s(z)).\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -46*o + 7171. Calculate w(156).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-20)\/(p*p\/(p\/(p*(p*p*p\/(p**(-7\/5)*p))\/p*p))) assuming p is positive.\nAnswer: p**(-127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, -10\/13, 0, 95\/2, 0.052.\nAnswer: -10\/13, 0, 0.052, 0.3, 3, 95\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + b0?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110100101111000010 (base 2) to base 5.\nAnswer: -142142130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18176 - 18161. Calculate the lowest common multiple of 352 and b.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*g - 16 = 0, 2*g - 6 = -g. Let f(a) = -a - 11. Let c be f(-12). What is the closest to 0.1 in c, y, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f. Let z(s) be the second derivative of s**6\/720 + s**4\/6 + 3*s. Let k(o) be the third derivative of z(o). Give k(j(c)).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4414814839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 - 5*a - 9. Let w be q(-7). Let b be 0 - (50 - 4\/2). Let g = b - w. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(5*v**2 - 5*v**2 + v**2 + (4*v - 4*v - v)*(-5 + 3*v + 5)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3 + 64*j**2 - 2851*j - 2914 = 0. Calculate j.\nAnswer: -94, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/42 + 38\/(-5) + 5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16029156.6 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 725105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*q - 5*k, -q - 6*k = -5*k - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -303716 (base 8) in base 3?\nAnswer: -12002120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1429\/20 + -356\/5. Let k = 0 + 2. Let y be 1\/(0 - (-3 + k)). What is the closest to m in 3, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 + 350. Let w = s - 143. What is the highest common divisor of w and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 11*b**2 + 11*b - 3. Let q be w(-12). Suppose 3*l - 2385 = -3*s, -q*s - 4*l + 810 = -8*s. Is 42 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/52917857 or 0?\nAnswer: 2\/52917857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -132*p**2 - 397*p - 9. Give g(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -0*x - 24. Solve -5*r + x = 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2 = 5*w, -3*b = 2*w - 4*b - 2. Suppose 19 = 3*i - w*i. Suppose -1 = -2*j + i. Solve -4 = 2*g, 0 = 3*h + 5*g - j*g - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.11 from -1037.\nAnswer: -1038.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1249 is divided by 409?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/27 + (-11)\/9. Let m = u - -5. Factor w**m - 3*w**2 - 6*w**4 - 8*w**3 - w**5 - w**2 + 0*w**2.\nAnswer: -w**2*(w + 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 616 and 70442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985730 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1571*g**6 - g**4 - 2043*g**2 wrt g.\nAnswer: 188520*g**3 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**3 + 16*a - 16. Let b(i) = -3*i**3 - 5*i + 2*i**3 + 2*i + 3. Suppose -2*v + 17 = -2*k - k, -3*v - 2*k + 58 = 0. Determine v*b(r) + 3*s(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**3 - 10*m**2 - 32*m - 134. Let v be p(17). Calculate the highest common divisor of v and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 2*g**7\/105 - g**5\/6 + 5*g**2. What is the third derivative of a(s) wrt s?\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491686163?\nAnswer: 157, 1471, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 182.626 hours?\nAnswer: 10957.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28 - 54 - 58)*(3*j**2 - j**2 + j**2) to h*j + q*j**2 + v and give q.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -18. Let n = 153\/92 + 1\/276. Which is the nearest to -1? (a) y (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.555 (b) -148 (c) 4\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -161166 and -0.3899?\nAnswer: 161165.6101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + -11.7. Let i = h - -7. Let f = 6 + i. Which is the biggest value? (a) 0 (b) f (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 627987 (base 11) to base 7\nAnswer: 11360130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86493817957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.998763 tonnes in grams?\nAnswer: 5998763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 6 + d**2 - 3 + 12 + 3*d**2 in the form y*d**2 + s + m*d and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 296398518 to the nearest one hundred thousand.\nAnswer: 296400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 699287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -739239113, -739239114, -739239115, -739239116, -739239117, -739239118?\nAnswer: -739239119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*d + 112 = 104, 5*d = -2*n - 9. Let j be (-90 + 85)\/(n\/148800). Round j to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 666*z = -667*z + 16, 5*z = s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 264, 856, 1850, 3246, 5044, 7244?\n\"Answer: 201*m**2 - 11*m + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**2 - 3*w**2 - 4*w**2)*(-2*w + 2*w + 2*w) - 2 - 2 - 2*w**3 + 8.\nAnswer: -4*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2030 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i - 320*i**2 + 164*i**2 - 9*i**4 + 8*i - 2*i**3 + 157*i**2 to the form p + f*i**3 + s*i**4 + l*i**2 + o*i and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((k*k**(-1))\/k*k)\/k)\/k)\/k)\/(k\/(k\/(k**(-4\/3)*k))))**11 assuming k is positive.\nAnswer: k**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juujjuuujjupjujpuuj. What is prob of picking 1 p, 1 j, and 2 u?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s = -1722. Let p = 625 - s. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1621.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - 206*b - 3 + 2 - 2*b**3 - 3*b**3 + 202*b to the form x*b**3 + m*b**2 + n*b + j and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1228*b**2\/9 - 274964*b\/9 + 2688.\nAnswer: -4*(b + 224)*(307*b - 27)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 12*g**2 - 14*g - 29. Give s(13).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1405161 is divided by 1586?\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13620 and 1020?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -3. Suppose -b + q - x = -3*b, -7 = b + 3*q. Suppose -3*s = -3*t + 28800003, -b*t = -t - 3*s - 9600003. Round t to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9*c = 20. Let u be (8 + -6 - 10) + 7 + 6. Solve u*s = s + c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + 1\/((-4 - -7)\/(-15)). Solve -3\/2*w + 81\/8*w**z + 21\/8*w**4 - 3\/2 - 39\/4*w**3 = 0 for w.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 39*b**2 + 94*b + 18. What is the tens digit of t(39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 466 - 3735\/8. Let j = -4 - 24. What is the common denominator of 14\/10*35\/j and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-1)\/(-5)*39\/(-78)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 447*m + 120*m + 69*m - 151*m + 585*m as o*m + f and give o.\nAnswer: 1070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 minus 1.38?\nAnswer: -232.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -2 - 6 - (1 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 - -2 - ((-119)\/(-35) - 9). Suppose -1 = z + 2*y, 6*z = 3*z + 2*y - 19. Let f = -7 - z. What is the smallest value in -2\/9, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28\/7459191 or 1?\nAnswer: 28\/7459191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**3 - 14*x**2 - 2151*x + 2172. Give i(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 3 + 1 - 1. Let z be v(2). Solve 3*d - l = 11 - z, 5*d - 2*l - 16 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 102\/9 + (-1)\/3. Let f = z + 5. Calculate the greatest common factor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 25*d**3\/3 + 8*d**2 - 75*d - 43. Is l(5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjsiejjjjrjj. Give prob of sequence reij.\nAnswer: 5\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57768 and 21924.\nAnswer: 3639384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 13*z - 8. Suppose -774 = -p + z*t, -3*p + 4*t + 2294 = 5*t. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -191, 0.3.\nAnswer: -191, 0.3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -20*k**2 - 11*k + 8. Let d(x) = -x + 1. Let w(q) = -6*d(q) - u(q). Is w(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3770\/3 - -28914\/23. Let n = 2\/947 - -2795\/21781. Let s = n - j. What is the nearest to -1\/6 in s, -1, 9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 2. Let n be d(6). Suppose 0*p + u = -n*p + 4, -2*p + 8 = -u. Solve 0 = w + p*c, -5*c + 4*c - 2 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 577443 - -2?\nAnswer: 577445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 0.19, -0.74?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3*h**2 - 2)*(35*h - 47 + 47 - 305*h) to n*h + q*h**3 + r*h**2 + i and give q.\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/28446 and 77\/328422.\nAnswer: 3612642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 + 250*o + 3023. Let x be d(94). Suppose 0*p - 1650 = -5*p. What is the greatest common factor of x and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 16*l + 3*l**2 + 36 - 14*l**2 - 2*l**2. Let c(v) = -3*v**2 + 4*v + 9. Let o(z) = 9*c(z) - 2*s(z). What is o(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**4 - 2*z**4 + 5*z**4)*(3 + 1 - 3) - 8*z**4 + 4*z**4 - 4*z**4 + (z**3 + 0 + 0)*(-4 + 4*z + 4) + 1 + 2*z**4 - 1.\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*z + 154*z + 161*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 156481?\nAnswer: -156481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/261209633 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + -1*(sqrt(95) - 2*sqrt(95)))*4)\/(sqrt(5) + sqrt(5)*2*-4 + (sqrt(5) + sqrt(25)\/sqrt(5))*6).\nAnswer: 8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 11:39 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(((j**(-2)\/j*j)\/j)\/j))**(3\/7))**(-37)*((j**(3\/4)*j)\/(j**(-1)\/j))\/(j**(2\/9)\/(j*(j**(-5)*j)\/j*j*j)) assuming j is positive.\nAnswer: j**(-19595\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 29344795.5 to the nearest 10000.\nAnswer: 29340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-221*q + q + 27*q)*(0 + 2 + 0).\nAnswer: -386*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 886 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhy. Give prob of sequence yhy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/66)\/((-203)\/(-4466)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p + 2. Let y(c) = -20*c + 52. Calculate 3*h(l) - y(l).\nAnswer: -l - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/16 + (-6)\/(-24). Suppose 6*w - d = 5. Let j be w*(3 + 46) + (3 - 2). Calculate the highest common factor of 40 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. Suppose y*w + 1127 = 5*b, -w + 2*w - 685 = -3*b. Suppose s + 111 = 4*j, -2*s + b = 5*j + 72. What is the remainder when j is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18123737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 754 - 33156?\nAnswer: -32202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22470 - 247172\/11. What is the smallest value in 25, 5, z, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 103163 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*sqrt(684))**2 - sqrt(684).\nAnswer: 42*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(-2*v + 6*v + 2*v) - 5*v + v + 2*v + 0*v - v + 5*v in the form a*v + s and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217079 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, z: 2, r: 2}. What is prob of sequence zuz?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315982*s**2 + 315980*s**2 - 631960*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 7 + 7 = 0. Suppose n = 3*q - 43 + 13. Calculate the remainder when 19 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or -10046879?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.22, 3, -6312.5, -13?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.793957797 times 0.1?\nAnswer: -0.0793957797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 28202.09 to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 6*t**2 - 2*t - 5. What is z(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.91 - 1.41. Suppose v - 2*v - 201 = 2*h, -309 = 3*h + 3*v. Let o = -393\/4 - h. Which is the nearest to o? (a) -5 (b) r (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*a - 12. Let s = 2 - a. Let m = 3 - s. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 7) + -9 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536*l - 543*l + 28 = 0. Solve -7*w + l = -10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 7:52 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**(2\/5)\/a)))**(-5\/13))**19 assuming a is positive.\nAnswer: a**(57\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -10*f + 4. Let s(g) = 23*g + 4. Let i(z) = 7*z + 1. Let q(a) = 21*i(a) - 6*s(a). Give -6*q(o) - 5*r(o).\nAnswer: -4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from teiuuiu. Give prob of picking 1 u, 1 i, and 1 t.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 729?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-4)\/(8\/(-18)). Suppose 2*c - 70 = -q. Let i be 10\/(-66)*(656 - 689). Solve 2*f = -k + 6, i*k + c = f + f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1789 rounded to 1 decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 136767760 from 1348.\nAnswer: -136766412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 4128605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 15. Suppose j = 4*b - 4*u - 20, -3*b = 5*u + 5 - 4. Solve -a + b*o = -6 + 23, -5 = -5*a - 3*o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 425 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*g**5 + 64*g**4 + 76*g**3 + 20*g**2.\nAnswer: -4*g**2*(g - 5)*(2*g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**4\/4 - 10*g. Let i(w) = -22*w**2. Determine o(i(z)).\nAnswer: 1452*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20256\/27 - (-80)\/(-360) is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2383 = 25*n + 21*n - 791. Calculate the least common multiple of n and 216.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 160 + 134*h + 2*h**2 - 467 + 156 + 153 to r*h**2 + s*h + x and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -129344098, -129344100, -129344102, -129344104, -129344106, -129344108?\n\"Answer: -2*y - 129344096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**3 - 68*f**2 + 103*f - 1265. What is b(22)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 37 + -25 + -6 + (-15 - 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1625.91651 nanoseconds?\nAnswer: 0.000000000018818478125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45276378, -45276382, -45276388, -45276396?\n\"Answer: -y**2 - y - 45276376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + i - 1. Determine r(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-7)*(-21)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a. Let b(f) be the first derivative of 0*f**2 + 0*f + 2\/3*f**3 + 10. Calculate d(b(v)).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**5\/7 - 410*r**4\/7 + 11194*r**3\/7 - 69358*r**2\/7 - 225396*r\/7 + 283968\/7 = 0. What is r?\nAnswer: -3, 1, 16, 17, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, e: 4, a: 7}. What is prob of picking 3 a and 1 e?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155996486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122413 and 14181?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546003.9ug to kilograms.\nAnswer: 0.0005460039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, -160, -474, -902, -1438, -2076, -2810?\nAnswer: -3634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208 + 208 - 2*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r - 4. Let t = -5 + 8. Let n = -3 - 4. Let w(z) = -5*z - 2*z - 9 + 11*z + 5*z. Give n*o(i) + t*w(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 224628650 divided by 1321345?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3286, -3285, -3284, -3283?\n\"Answer: t - 3287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 2:53 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -255 + 343. Solve 0 = 85*c - r*c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -87359 - -9?\nAnswer: -87350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17 - 4\/(-2) - -1. Suppose 0 = -7*a + 11*a + 16. Let f = s + a. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*t + 856 + 853 - 1708 + (-1 + 5 - 3)*(0*t + 2*t - 3*t).\nAnswer: 77*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*-2*-6)\/(-1*sqrt(20)\/sqrt(2)))\/(sqrt(72)\/(-1*sqrt(6)) - (sqrt(1452)*-3 - sqrt(1452)))*6.\nAnswer: -72*sqrt(3)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*k - 6 = 0, 6*k - k = 2*z - 15. Suppose 4*s - 4*f = f + 1627, -s + 418 = -z*f. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 + 5077*c\/2 - 25775929\/4.\nAnswer: -(c - 5077)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32893\/(-46990)*(-130)\/28.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(704)*-1*6*-1.\nAnswer: 2 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 7:54 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1223 = 2*g - 5*g, 2*g + 4*u = 826. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4639743?\nAnswer: 3, 19, 43, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6419 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10a10 - -11?\nAnswer: 10a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 15*b + 6. Let t be l(-14). Let o(n) = -5*n + 69. Let p be o(16). Is (-32)\/(-6)*(t - p) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeer when four letters picked without replacement from eeerreeerre?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42762 is divided by 287?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 7:16 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5184)*2 + sqrt(36) + sqrt(36))\/(sqrt(12) + sqrt(144)\/(sqrt(12)*-2)).\nAnswer: 52*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 + 30. Let y = m - -109. Let b = y + -18. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h + 0*h - h)*(0 + 2 - 1) + 49 + 25 - 74 + 4316*h.\nAnswer: 4321*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*f - 123 = 0, -3*f - 2*f - 72 = -x. What is the greatest common divisor of 6 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - n**2 + 11. Suppose 3*a = -4 + 13, 5*l + 4*a = 7. Let f be l - (1 + -1) - -1. What are the prime factors of v(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -76\/3*w + 448\/3 + 1\/3*w**3 - 13\/3*w**2 = 0.\nAnswer: -7, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -40*l**2. Let i(q) be the first derivative of q**3\/3 - 88*q + 47. Let j(v) be the first derivative of i(v). Determine j(c(d)).\nAnswer: -80*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.038982*-4.\nAnswer: 0.155928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 266 - 141. Suppose 5*w = 5*y, -5*w + 5*y = 4*y. Suppose -2*j + s + 77 = w. Calculate the remainder when j is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.10479647 to 4 dps.\nAnswer: -1.1048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 6*j - 13. Let z be c(-10). Suppose 0 = -5*d - 4*w + z, 3 = 2*w - w. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-5))\/b)\/(b*b\/(b\/(b*b*b**(-9)*b*b))*b))\/(((b*b*b**(4\/3)*b)\/b)\/(b**(-2\/9)\/b)) assuming b is positive.\nAnswer: b**(-59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4758 and 156?\nAnswer: 9516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.26501 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3702 is divided by 34 + -17 - -1*178?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 731382 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(6*(7\/(-21))\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/((-70)\/16)*(-465)\/124. Solve 0 = 5*b + 25, r - 2*b - 15 = -m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 56 = 38. Let a = f - 37. Suppose j - 2*x = -j - 2, 2*x + a = 5*j. Solve 3*s = -j*z + 3, 5*s - 11 = 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 4725?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2. Let m(z) be the second derivative of -1\/12*z**4 + 0 + 0*z**2 + 0*z**3 + z. Calculate b(m(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*l = -36. Let p be -1*(l\/4 + 3). Let m = -5 - -5. Solve m = 4*j + 3*w - 2, p = -j + 2*w - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 8 + 0)*(0 + 0 - r) - 3 + 0 - 3 + 6 + 17*r to the form c*r + x and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + sqrt(325) + 0 + -5 + sqrt(325) + sqrt(325) + (sqrt(325) - (0 + sqrt(325))**2) + 1)*1 + -1.\nAnswer: -334 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 82 + 83 = 0. Is 1\/3535 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*m + 56. Calculate the highest common factor of 60 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*o - 2 = v - 80*o, 28*o - o = 27 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*1\/4*2. Suppose -j = 5*r - y*r - 36, 0 = 3*j + 3*r - 138. Does 23 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -453*t + 5970. Determine f(13).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = q + 4, -t + 0 + 1 = q. Let f(p) = -1 - 2*p**2 + p**2 + 0*p**2. Let j be f(q). Which is the nearest to 0.3? (a) -2 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115423535 - -4?\nAnswer: -115423531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -120.\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, z: 3, l: 4}. Give prob of picking 1 z and 1 l.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/152 and -50\/184509?\nAnswer: 1476072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/9 + (-749)\/126 and 41\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 480.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 1:42 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1962948 and -16.\nAnswer: -3.1407168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -216613*a**5 + 11*a**2 + 4*a - 6?\nAnswer: -12996780*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/13 (b) 0.77 (c) -3.2 (d) 1\/3 (e) -51\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(52) + sqrt(52)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*h + 26 = 2*t, -3*h = -4*t + 10. Suppose t*u - 58 = 38. Suppose 5*z - z = u. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 355925347?\nAnswer: -355925347.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1418.4972 months to years.\nAnswer: 118.2081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154543 (base 6) to base 5.\nAnswer: -442302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18605472 divided by -18908.\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 16*t - 254 = -5*n, -5*t - 270 = -5*n. What is the remainder when 517 is divided by n?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3942\/5 + 780. Let y = -22918\/1563 - 2\/521. What is the common denominator of y and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 8*j + 3. Let i be n(-8). Suppose -2*t + 5*g = -0*t - 9, 5*t + i*g - 7 = 0. Calculate the remainder when 7 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/601 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(833))*4*-2)**2 - (sqrt(833) - sqrt(833)*3)**2*-3*-3.\nAnswer: 896*sqrt(17) + 23388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23030859.\nAnswer: 3, 349, 21997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33900 + 2610145\/77. Let n = b - -19\/11. Let l be 0 - (-1)\/(-17)*2. What is the closest to n in 0.3, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a century in years?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*i + 3*i + 3 = 0, 0 = 2*d - 4*i. Suppose 2*q = 4*k - 786, d*k = -3*q - 2*q + 423. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.256954 - -14.45695439. Let i = g - -6.8. Round i to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/(-1080) + (-40)\/75?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (131 - (89 - 55)) + -32 + 1.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 362311.85891 and -0.078?\nAnswer: 362311.93691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 5*o + 24 = 0, s = 2*o - 9. Which is the closest to -1.7? (a) -2\/129 (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104*15\/(-150) + -6 - 4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3602021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -82464, -81989, -81514, -81039, -80564?\n\"Answer: 475*u - 82939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 67?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/14*2\/(-10). Which is the nearest to w? (a) -0.3 (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 equal to 1.38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -14. Which is the closest to -0.1? (a) -2\/3 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 - 45*u + 19. Calculate p(15).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 15. Let p = -7 + 10. What is the least common multiple of j and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*b + 5*b - q, 5*q + 70 = -5*b. Let v = -57 - b. Find the common denominator of -64\/9 and v\/(-14)*(1 - (-3 + 6)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2383200 divided by -3600?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193486 + 54014 = 3300*s for s.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -289400 rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2.3. Let w = 107\/80 + -15\/16. Put 0.3, n, w in ascending order.\nAnswer: n, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(15)\/sqrt(5) + -1 + 1 + (sqrt(3) - sqrt(3)*3) - (3*sqrt(192))\/(sqrt(400) + sqrt(400)*-1 + sqrt(400) - sqrt(4))) + -3)**2.\nAnswer: -76\/3 - 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -766, -763, -760?\nAnswer: -757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -852 times 29200?\nAnswer: -24878400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(175) + -1)*3 + (-2*sqrt(175) - sqrt(175)) + 1 + 1 - ((sqrt(175) - -1*(sqrt(175) + 2)) + sqrt(175) - (sqrt(175)*1 + -4 + sqrt(175))))**2.\nAnswer: 70*sqrt(7) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(0*r + r + 2*r)*(-2*r**2 - 3 + 3).\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*f + 28 = -95*f. Let j be -111 - ((-2)\/(-6) - f\/12). Which is smaller: -110 or j?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/7 - 353*v\/7 - 352\/7.\nAnswer: -(v + 1)*(v + 352)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187\/14 >= 157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 4*m - 5. Let s be 9\/6*(-8)\/(-3). Suppose -3*i - 5*x - 10 = 0, 18 = -s*i - x - x. What is r(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -183*r + 179*r + 32, -5*r = -j - 34 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -413 - -413. Let j = 0.31 + -1.11. Sort j, x, 2\/5, 1\/5 in decreasing order.\nAnswer: 2\/5, 1\/5, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540304 less than 146?\nAnswer: -540158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1761715.662 and 3?\nAnswer: 5285146.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*w**3 - 396 - 42*w**3 + 428 wrt w.\nAnswer: -114*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23356623?\nAnswer: 3, 17, 53, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01338 rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 4:23 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*y**3 + 81*y**3 - 34*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 51. Let n = a + 14. Let i = -9.9999941 - n. Round i to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*d + 2*d**2 - 1 + 2 - 22*d + d**4 - 34*d + d**3 to the form b*d**4 + u*d + y + o*d**3 + k*d**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 524, 781, 986, 1115, 1144, 1049, 806?\n\"Answer: -4*l**3 - 2*l**2 + 291*l + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1 + 209*j + 1 + 0 + 329*j to z*j + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 151*c**3 - 26*c**2 + 3*c - 10 + 213*c**3 - 9.\nAnswer: 364*c**3 - 26*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/9 of a hour in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (4 - 7) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -b - b + 220, 0 = -4*i + 2*b + 228. Calculate the greatest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -301 or -904\/3?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 8*n**2 - 9*n - 10. Let c be v(-7). Let s be -3 + 2 - (c - 7). Suppose -k = -f + s*k + 31, 5*k = 0. List the prime factors of f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -q + 61. Let l = -36 + q. Solve -2 = l*t + 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 249353190\nAnswer: 49870638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 smaller than 814392\/4873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.99 to one dp.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 + 3*j**2 - 3*j. Let m(c) = 4*c**3 + 10*c**2 - 3*c - 3242. Let n(s) = 4*f(s) - m(s). Find the first derivative of n(b) wrt b.\nAnswer: 12*b**2 + 4*b - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 958720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 2*n. Let p(a) = 2*a**3 + 2*a**2 + 4*a - 1132. What is 2*f(z) + p(z)?\nAnswer: 2*z**3 - 1132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - 6*z**2 + (0 - 2 + 4)*(4 - 2*z**2 - 4) + 0*z - 2*z**2 + 0*z)*(-2*z - 3*z**2 + 2*z).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(14\/7).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/3312)\/((-2)\/(-9) + 0).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031.0417 - -4?\nAnswer: -2027.0417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 112 (b) 1\/6 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -3, -0.814, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81\/3799, 0, 2\/17 in descending order.\nAnswer: 2\/17, 0, -81\/3799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 219*w**6 - 8*w**2 - w?\nAnswer: 26280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1374145318 - -528559127. Let f = b - -845586054.9999921. Let v = f + 136. Round v to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1376, 0.02, 0.2 in descending order.\nAnswer: 0.2, 0.1376, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 30353402.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1)*y)\/y**(-6)*(y**(-2\/5)\/y)\/y*y**(3\/8))\/((y**(3\/4)\/y*y*y**1)\/(y**0)**(-3\/7)) assuming y is positive.\nAnswer: y**(129\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 177702999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1350*k**3 - 2*k + 1342*k**3 + 2*k - 2696*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 119, 172, 225, 278, 331?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 5. Let l be o(5). Let u be ((-50)\/10)\/(l - 1). What is the second derivative of -5*i + 3*i**5 + 3*i**5 - 11*i**u wrt i?\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 83*l*v**3 + l*v**2 + 288*l wrt v?\nAnswer: 249*l*v**2 + 2*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 1\/3*n**3 + 0 - n + 1\/2*n**2. What is the units digit of a(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 58 = 3*t - a, -t + 2*a = 18. Let n be 669\/51 - t\/(-187). Which is smaller: n or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 755880746?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408, -398, -374, -330, -260, -158, -18, 166?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 559437.4cm?\nAnswer: 5594374000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*f + 1979*f + 1567*f + 1855*f + 969*f.\nAnswer: 6616*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1872) + (-4*(-3 + sqrt(1872)) - sqrt(1872)) + 0 + 1 + sqrt(1872))**2 + 5 + 6*(-1*sqrt(1872)*6)**2.\nAnswer: -936*sqrt(13) + 421371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 10:03 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/(j**(-11)*j))\/j)\/(j\/(j*((j*j*j**(1\/3)*j)\/j)\/j*j)))**38 assuming j is positive.\nAnswer: j**(1520\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x = 44. Let v = -38 + x. Suppose 10012 = 10*r - v*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u. Let f = u - 2. Is (52\/6)\/(f\/(-6)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**4\/12 - z**2\/2 + 6*z + 5. What is the remainder when f(2) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-15\/2)\/(((t**(1\/2)\/t)\/t)\/t**2)*(t**(-1\/4)\/t*t**(-3\/8))**(-9\/5) assuming t is positive.\nAnswer: t**(-43\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iuiu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k + 22971 - 7223 = 0. What is the greatest common factor of k and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5471 + -1.5471. Let g = 0.1 - -0.5. Let k = g + -0.5. Which is the third smallest value? (a) o (b) 2 (c) k (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 133? (a) -0.1 (b) 1 (c) -0.1228\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/(r\/(r*r\/(r*r**(2\/3))*r)*r))\/(r**(-2\/3)*r*r)**(-35) assuming r is positive.\nAnswer: r**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 2*d**2 + 23*d - 29. What is g(-6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774752019?\nAnswer: 3, 258250673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 142, 182, 222, 262, 302?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)\/i)**(-2\/25)\/(((i\/i**(1\/7))\/i*i)\/i**0) assuming i is positive.\nAnswer: i**(-76\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -b, -29 = -4*u + 3*b. Suppose -51 = -u*h + 24. Solve -p - p = 2*f, h = -5*f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1392\/15)\/((-4)\/(-10)). Suppose 240 = 2*v - 5*w - 218, -v + w = -f. What is the remainder when v is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x. Let r be (8\/28)\/(2\/14). Let f(y) be the second derivative of -1\/2*y**3 + 0*y**r + 0 + 3*y. Determine f(u(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {c: 2, i: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -7 - 13. Is (-48)\/(-120) + (-813)\/s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -127, 6, 0, -7, -107, 2 in decreasing order.\nAnswer: 6, 2, 0, -4, -7, -107, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48166753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -3, -23589, -10, -4, -1.\nAnswer: -23589, -10, -4, -3, -1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uffuufffufe. Give prob of sequence fuu.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 4 (c) -17 (d) -4\/13 (e) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7243512 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - o**2 - 1. Let a(t) = 30*t**3 + 4*t**2 + 4. Suppose 3*y = -5*j + 32, -y + 20 = j + 3*y. Give j*s(q) + a(q).\nAnswer: 26*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -89.93 * -4\nAnswer: 359.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -531.10857 rounded to the nearest 10?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 308.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.24 + 0.64. Let r = -13 - -11.6. Let m = i + r. What is the biggest value in m, 1\/3, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 14 = -4*s - 1, 2*k - 14 = -5*s. What is the second biggest value in -0.1, s, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**4 + 2*z + 2*z - z - z - 1 - z**3 to the form j*z + f*z**3 + h + c*z**4 + i*z**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 54244961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owow when four letters picked without replacement from hwowxxwxxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 r when three letters picked without replacement from {f: 1, a: 6, r: 8}?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -9. Let v = m + 10. Let r be ((-4)\/v)\/(4\/(-12)). Solve r*b - 26 = 4*q - 0*b, -4*q = 3*b + 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*u - 354 = -483 + 3531 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*k**3 + 236*k**2 + 356*k - 104.\nAnswer: 4*(k + 2)*(k + 13)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 5:04 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t + t**2 - 7*t + 19*t - 6*t**2 + 4*t as r*t**2 + m*t + f and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 9*b - 1 - 12*b + b**3. Let a be q(-4). What is the units digit of 11\/13 + (-18)\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.22 and 13\/34 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10*f. Let z be n(-2). What is the units digit of (z + 5)*(-7 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c + 1. Let v(p) = -1. Let i(l) = t(l) + 2*v(l). Calculate i(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1147*t**2 + 11*t - 15. Let h be v(18). Let n = -118811 + h. Round n to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 966 and 66171?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 500*j**2 - 963*j - 16436. What is a(498)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5806?\nAnswer: 2, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/17)\/d)**(2\/11) assuming d is positive.\nAnswer: d**(-38\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -241 + 236. Let v be (-15 - -22) + 1 + a. Let d = 1 + 14. Solve 5*s - d = -l, 2 = -v*s + 4*l + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22695480.\nAnswer: 2, 3, 5, 23, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c**4*n - 3*c*n - 178*n + 1 wrt c.\nAnswer: 20*c**3*n - 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001 times 498406?\nAnswer: -498.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -323, -647, -971, -1295, -1619, -1943?\n\"Answer: -324*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6. Let z be 1 - (-2)\/(-4)*0. Let a(c) = 2*c + 4*c - c - 4*c + z. Determine 6*a(n) - u(n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 302 - -4*35\/(-20). Are 296 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156052428*r**3 - 2*r**2 + 1 - 156050432*r**3 - 1 + 2*r**2.\nAnswer: 1996*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 342.36 + -347. Let r = -22.86 + x. What is r rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5*u - 1)*(1799 + 1602 - 348 + 3852 - 1444) as k*u + h and give k.\nAnswer: -27305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 11600 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 1028*a - 3083. Let l be q(-3). Solve 8 = -90*r + 92*r - h, -l = -r + 2*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 3*h**5\/4 + 3*h**3\/2 - 92*h. Find the second derivative of l(j) wrt j.\nAnswer: 90*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 1, 10, 99, 4, 37 in decreasing order.\nAnswer: 99, 37, 10, 4, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8891*s + 8898*s = -5*o - 27, 0 = -s - o - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16023 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 1380 = 2*g. Suppose g + 471 = 10*x. What is the highest common factor of x and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2624705397?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + g. Let s be (8 + -2)\/(1*-2). Let u(q) = -2*q - 2. Let w be u(s). Solve g = -4*j + 8*j - w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88.98 - 88.08. Suppose 3*v + 25 = -2*v. Which is the second biggest value? (a) d (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/539 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14953615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**5\/90 + 4*m**4 + 47*m**3 + 1427*m**2. Find c such that l(c) = 0.\nAnswer: -141, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3637284 by 22876.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 9:50 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5276124 by -2646.\nAnswer: -1994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssassassasssasss. Give prob of sequence aa.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*l - 40, 0*i + 5*i + 43 = 4*l. Suppose -t + 5*d + 7 = 0, 5*d = -l*t + 5*t - 16. Let c(k) = -k**2 - 2*k + 7. Give c(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 1 - sqrt(1584) - -3*(sqrt(44) + sqrt(11)))**2.\nAnswer: 18*sqrt(11) + 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-33)\/22 + 66\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**3 + x**2 + 3*x + 2. Let u(l) = -l**3 + l**2 + l - 1. Let b(g) = -o(g) - 2*u(g). Let m(w) = w**3 + 2*w**2 + 4*w. Determine 4*b(f) + 5*m(f).\nAnswer: f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0743 and 1?\nAnswer: 0.0743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 - -84.057. What is t rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36, -240, -700, -1344, -2172, -3184, -4380?\n\"Answer: -92*n**2 + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*a**3 + 6*a**2 - 5*a**2 - 5*a**2 in the form u*a**2 + j*a + f + w*a**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 y, 1 l, and 1 v when four letters picked without replacement from vyylllzzl?\nAnswer: 8\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-7)*1\/(0 - -3). What is the nearest to -2 in 3, 1\/2, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 12*c - 3*l - 109981 = 0, 0 = 4*c - 2*l - 109974. What are the prime factors of c?\nAnswer: 2, 5, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 - 181114*z\/7.\nAnswer: 2*z*(z - 90557)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-49)\/10)\/((-18837)\/(-40365))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*6\/(-126))\/((-5)\/(-35)). Suppose 3*d + 4 + 8 = 0. Put r, 10, d, 0 in increasing order.\nAnswer: d, r, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 + 10*k**2 + 13*k**2.\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -404*v**2 - 2541*v + 20836233 wrt v?\nAnswer: -808*v - 2541","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-21))**18 assuming n is positive.\nAnswer: n**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2534?\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69 in -4, 1\/3, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -18345*d - 36715. Give o(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 65*f - 636 - 258 + 0*f**2 - 153*f + 392*f - 2*f**2 = 0.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3598 + 5885. Is i a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99 - -98) + 0 + 8 + (-1 - -8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 3*u**2 + 8*u - 2. Determine z(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2 + 50711620*p + 642917100756100 = 0. What is p?\nAnswer: -25355810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. Let l(p) be the second derivative of -4*p + 0 + p**2 - 1\/6*p**3. What is l(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = c - 21. Let x be (c\/(-8))\/((-15)\/2160*-12). Factor -6\/19*t + 0*t**2 + 2\/19*t**x - 4\/19.\nAnswer: 2*(t - 2)*(t + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**5 + 2*x**5 - 4*x**5)*(1 - 1 - 3) - 177*x**5 + 85*x**5 + 157*x**5 + 2*x**5 + 4*x - 4*x.\nAnswer: 76*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -57706 > -57708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.068.\nAnswer: -0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-31))\/l**(-6\/5)*l**(3\/14)*l*l**(2\/23) assuming l is positive.\nAnswer: l**(57157\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 678\/5 + -136. Sort 1\/7, u, -5.\nAnswer: -5, u, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (290*8\/200)\/(6\/2955).\nAnswer: 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from wfwwffwwdwwd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from setccsecss. Give prob of sequence ccs.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 42. Let g = -32 - l. Let r = 12 - g. What is the closest to 0.1 in r, -2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) 0.04 (c) 23 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 - 24719900*o\/3 + 16479936.\nAnswer: -2*(o - 2)*(o + 12359952)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (99\/(-15))\/(14\/(-6)*(-4995)\/252525)\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 10*j - 1. Let c(k) = 13*k + 17*k + 11*k + k - 1 - 31*k. Determine 6*c(w) - 7*u(w).\nAnswer: -4*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 4700148?\nAnswer: 94002960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -951255315393 + 951255315790.000000323. Let b = o + -397. What is b rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 72.5118mg?\nAnswer: 0.0725118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 492?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23512\/11 or 2137?\nAnswer: 2137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 5. What is the derivative of -5 + 5*h - b*h + 1 wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1376\/3 + -471. Let d(o) = o**2 - 9*o + 9. Let h be d(6). Let q = -35\/4 - h. Calculate the common denominator of a and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*g + 24 = 0, 0 = -3*b + 3*g + 9 - 3. Let v(q) = -2*q - 28. Let z be v(-14). Solve 4*r - b = -z*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 30 = 5*t + 8*r, t = 3*r + 18. Let a be (t\/4)\/((-2)\/(-8)). Suppose -a*i = -3*i - 204. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*2 + -3 - sqrt(135)\/sqrt(3)*-6)**2.\nAnswer: -228*sqrt(5) + 7229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 2. Let c = 7 + o. Sort -0.3, c, 2 in ascending order.\nAnswer: -0.3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 - n**2 - 2*n - 2. Let x be m(-1). Which is the nearest to x? (a) 2\/3 (b) -0.5 (c) -5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(114) + sqrt(114) + (sqrt(114) - (sqrt(114) + 3*sqrt(114)*2)))*6)\/((sqrt(750)*3)\/(sqrt(605)*-3 + sqrt(5))).\nAnswer: 256*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, z: 2}. Give prob of sequence zqzq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8.9, 0.8 in decreasing order.\nAnswer: 8.9, 1, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 166713 and 366?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 1 + 107\/2*j**2 + 85*j + 31\/2*j**3. What is the first derivative of f(c) wrt c?\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2)*20\/6. Let b = y - 10. Let o = b + 8. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451163 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*(-5 + 1 + sqrt(48) - (-2 + sqrt(48))*3) + -1)**2.\nAnswer: -1280*sqrt(3) + 5056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(-8)*g*g)\/g)*g*g**(-2\/5)*g*g)**(-9\/5)*(g\/g**(-2\/11)*(g\/((g*g**(-6))\/g))\/g)\/(g**0)**(-9\/2) assuming g is positive.\nAnswer: g**(-3272\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -531*a - 79769. Determine k(-138).\nAnswer: -6491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2454)\/409*(-2)\/(-100)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3443093 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 415 - 229. Suppose -m = -17*c + 256. Calculate the highest common factor of c and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/7 + 246129810*f\/7 + 15144970842659025\/7.\nAnswer: (f + 123064905)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6*w - 4 = 0. Let y = 0.8 + -1.8. Suppose 6*m = -7*m + 6*m. Which is the closest to w? (a) y (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 7:34 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 10:27 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96859.\nAnswer: 7, 101, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43.085 - 43. What is d rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5770472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210792010 and 145?\nAnswer: 210792010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - h - h + (5 + 5*h - 5)*(2 + 0 - 5).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*f = 292387, -4*g = 24*f - 32*f - 1169548. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 p, and 2 b when four letters picked without replacement from bvfqbbp?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17\/309942? (a) 2 (b) 3 (c) -0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004342 is divided by 730?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 17. Let c be i(16). Sort -1, -5, c in decreasing order.\nAnswer: c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.77 - -0.67. Let s = 4 - -1. Which is the closest to r? (a) s (b) -2\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 4*r - 49. What is the tens digit of -5 - r\/((-24)\/(-1602))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 912733026\/11 or 82975731?\nAnswer: 82975731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.693801 rounded to one dp?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 900.2101 centimeters to kilometers.\nAnswer: 0.009002101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2 + 20. What are the prime factors of -5*(-2 + s)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7288.\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by 51.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2700)*-2 - sqrt(189)\/(sqrt(14)\/sqrt(2)))\/((sqrt(108) - -5*sqrt(108)*2)\/(sqrt(36)\/sqrt(3)*-1)).\nAnswer: 21*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -447577 (base 8) to base 11\nAnswer: -a3848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -1.3. Let z = 124\/65 - 17\/13. Let p = -29\/81 + 2\/81. Which is the third biggest value? (a) p (b) o (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 15*h**2 - 20*h + 5. Let y = -9 + 3. Let w(s) = 8*s**2 - 10*s + 2. Let g(p) = y*b(p) + 13*w(p). Determine q, given that g(q) = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/12 - 4\/(-42)*-7. Let h(r) = -r**3 - 7*r**2 - 6*r + 2. Let t be h(-6). Let s be 2\/(-6) - t\/(-15). Is y at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -348561\/23 - -60633\/4. Let a = -88\/23 - d. Calculate the common denominator of a and 119\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -444600.84252 minus -434?\nAnswer: -444166.84252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 368 - 484. Let g = v + 116.8. Which is the nearest to 0? (a) 0.2 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7))**(5\/2)*a**(-4\/5)*a*a*a*a**(-15) assuming a is positive.\nAnswer: a**(-303\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -30.8. Let r = i - 4. Which is the second biggest value? (a) r (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -267, 3\/58, 0.07, 1\/4?\nAnswer: -267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -39 (c) -0.0557 (d) 5 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -31. Suppose p - 4*h - 39 = -h, 38 = 2*p + z*h. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*d + 68*d + 300 = 0. Solve 54 - d = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 25 - ((-531)\/6)\/((-72)\/(-48)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2412942 to 3 decimal places.\nAnswer: -0.241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.16 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1225142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhahhaqhqqsqhhh. What is prob of picking 3 a and 1 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14820 is divided by 181?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/4*(-25)\/((-2250)\/(-24))*5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1485*k**2 - 845 - 1469*k**2 + 2405*k**2 wrt k.\nAnswer: -1098*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -5, -1 in decreasing order.\nAnswer: -1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19*(-2)\/209)\/((-1)\/4*2).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 483071*l**2 - 484273*l.\nAnswer: 966142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -26 (b) -1 (c) 0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7733519*g**2 - 7541104 wrt g?\nAnswer: 15467038*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1488, -1502, -1516?\n\"Answer: -14*x - 1474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f. Let l(y) = y + 3. Let g(q) = -2*q - 5. Let s(p) = 3*g(p) + 5*l(p). Calculate s(a(b)).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3471720 to the power of 1\/2, to the nearest integer?\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1245*d - 260 = 1271*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -675 + -157. Let k be (2\/(-4))\/(r\/(-256)). Put k, -4, -2 in decreasing order.\nAnswer: k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 3*g - 65. List the prime factors of c(21).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -17*z**2 + 17*z + 13. Let v(g) = -10*g**2 + 10*g - 3. Let o(r) = -r**2 + r - 1. Let y(b) = 6*o(b) - v(b). Let n(m) = -6*x(m) - 26*y(m). Factor n(u).\nAnswer: -2*u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -573860*m. Let q(p) = 20*p**2. Determine q(x(j)).\nAnswer: 6586305992000*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5942702960.00000063 + -5942702857. Let l = 0.07 + -103.07. Let o = l + j. Round o to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15030 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25738774?\nAnswer: 2, 12869387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 10 = -1. Is 26\/5*(12 - (c - 6)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 - 0.1?\nAnswer: 353.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0671429 + -0.2871293. Let m = b + 0.22. Round m to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.013 + -1.3399. What is t rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 72\/(-54) - (-6 + (-153)\/(-27)). Which is smaller: 38\/235 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -3 - (-1 + -6). Let t = w - 5. Let z = -1 - -4. Solve -t*d = -12 - z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j. Let t(h) = 47. Let q(n) = -n**2 + 47. Let k(g) = -2*q(g) + 3*t(g). What is k(a(u))?\nAnswer: 8*u**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/3375 and 137\/86010.\nAnswer: 19352250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000640105564 to 7 dps.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14717467, 29434923, 44152379, 58869835?\n\"Answer: 14717456*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 divided by -52?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*z = 66*z - 200 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5 + 61 = 0. Let x = -25 + f. Suppose 3*t + r - 5*r = 22, -3*r = x*t - 15. Which is the second biggest value? (a) 2 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - 78*i + 667. What is n(13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/364 and (-19939)\/(-8255)*(-10)\/(-12).\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -34. Let p(f) = -f**3 - f**2 + 12*f + 3. Let v be p(-7). Suppose -9*t = -v + 42. Calculate the remainder when y is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-9.905.\nAnswer: 59.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -242*j**4 - 1837 wrt j?\nAnswer: -968*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 17 + 0 = 0. Let g = 44 - q. Suppose 3*j + 6 = 0, -5*m - 2*j = 2*j - 62. Calculate the remainder when g is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - l**2 - 3*l - 4. Let z be b(3). Sort z, 14, -3, 1 in descending order.\nAnswer: 14, z, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-95 - -47) + 60 + (-6 - 3) - (-1 - 62)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 28*d**2 - 60*d - 23. List the prime factors of x(-29).\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1227 - -15949\/13. Let r = -110\/9 - -229\/18. What is the third biggest value in -31, r, v?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8138404?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1069435.\nAnswer: 5, 213887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129749 - 77823. What is the ten thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/(6\/(-20)). Suppose 5*l = -3*v + 615, 6*l + v - 373 = 3*l. Suppose -4*h + 74 = -l. What is the greatest common factor of k and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 3, -28, 2.3, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 + 5*l - 7. Is g(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*38.09\nAnswer: 0.7618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 16*x - 5. Let s be o(-15). Let c be 2\/s - (-2)\/(-10). Suppose c = -8*n + 7*n + 181. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccgcxcx. Give prob of sequence xcgc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87646.48 days to minutes.\nAnswer: 126210931.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -1631*o**2 - 35*o + 70. Let a(g) = 96*g**2 + 2*g - 4. What is 35*a(j) + 2*p(j)?\nAnswer: 98*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + i - 4 = -13, -67*o + 66*o - 4*i = 57 - 42 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3599 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*d = -9. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/2 - 15\/(-3). Let j be (-10)\/d*(-2)\/(-10). Let h = 11.6 - 12. Sort j, h, 0 in increasing order.\nAnswer: j, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 136 = 4*g - 3*w, 0 = 3*g + 2*w - 82. Suppose -2*m - 4*y + 80 - g = 0, 5*m - 139 = -3*y. Calculate the remainder when m is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203, -174, -125, -56, 33, 142?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 625879 and 250?\nAnswer: 156469750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -5, 32665, -3, 1 in decreasing order.\nAnswer: 32665, 3, 1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.0519642\nAnswer: 0.259821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 748\/7743?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 241154 (base 6) in base 14?\nAnswer: 7938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from yffddyydmgr.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 119 = 143. Let j = 0 - 0.2. Let t = 0.2 + -0.1. What is the smallest value in t, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxkxfldldxdxxxxxdx. Give prob of sequence lk.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 38495 (b) 5 (c) 3 (d) -6 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**6\/540 - 4*y**5\/15 + 455*y**4\/36 - 2450*y**3\/27 + 8*y**2 + 6. Suppose z(i) = 0. What is i?\nAnswer: 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 884370*v**2 - 2*v + 181 + 2*v + 884368*v**2 as z*v + t + g*v**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11495868, 22991736, 34487604, 45983472?\n\"Answer: 11495868*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -47*z**2. Let b(q) = 3 - 3 - 17*q + 20*q. Give t(b(k)).\nAnswer: -423*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 1984.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1558 + -1545. Solve -r*p = -12*p + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*2*8\/(-16) - -7. Suppose u = 6*u - o. Find the first derivative of 6*d - 11 + u - 11 wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28090 - -56547. Let o = l - 569253\/20. Let v = 25\/4 + o. Which is the third biggest value? (a) -5 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**0*q)\/q)\/q)**(2\/19)*(q*q\/(q*q*((q\/q**(2\/11))\/q)\/q))**7)**(-26) assuming q is positive.\nAnswer: q**(-44382\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1670000 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(700))**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwuk when four letters picked without replacement from ukkkkwuwwkwuuw.\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 240*m**4 - 37*m**3 + 959*m**2 + 49574965*m?\nAnswer: 2880*m**2 - 222*m + 1918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-79 - 9870\/(-126))\/((-2)\/(-108)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259826 is divided by 257?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 101903c (base 14) to base 11\nAnswer: 4316567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 475*j + 2507 + 317 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 421084907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (0 + sqrt(1331) + 6*(0 + sqrt(1331)))**2 + -4)*-2.\nAnswer: -130438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4630080 divided by -48230\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 8 = 4*g. Is 10*((-45)\/(-6) - g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33994234 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 2*l + 21587 = 9*r, 0 = 4*r - 2*l - 86368. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = d + 558. Let m be (4 + 167)\/(3\/d). Suppose m = 5*u + 16. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 2*v + v - 4*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 3*n**2 + 3*n - 2. Let w be j(-4). Suppose -131 = w*q + 115. Is 6 a factor of q\/(-11) + 6\/(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11963*t**2*v**3 - 104*t**2*v**2 + 13*t**2 - 2*t*v**2 + t - 7*v**3 - 11 wrt v?\nAnswer: -71778*t**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 194 - 1744\/9. Which is the closest to -1? (a) -2 (b) n (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d**3 + d**2*y + 3623*d**2 + 31*d - 420*y + 331 wrt d?\nAnswer: -6*d**2 + 2*d*y + 7246*d + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 121*a + 124*a - 43 = 0, 4*k - 87 = 5*a for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 144 + -125.04. Let g = y - 1.66. Which is greater: g or 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 + 2*h**2 + 6*h**2 - h**2 in the form j*h**2 + s*h**3 + b*h + m and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k = -66*k - 47*k. Let a(g) be the third derivative of g**2 + k*g + 0 - 1\/3*g**3 - 2\/3*g**4 - 8\/15*g**5. Factor a(j).\nAnswer: -2*(4*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 5*t. Let d(m) = -m**3 - 5*m**2 + 4*m - 8. Let y be d(-6). Suppose 34 = y*q - 14. Solve -g - q = t*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**2 + 24*j. Let x(k) = 7*k**2 - 47*k. What is 5*a(w) + 3*x(w)?\nAnswer: w**2 - 21*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*n**3 - n**5 - 20*n**3 - 32*n**3 + 2*n**4 + 0*n**5 - n**5 + 2*n**5 - 3*n**5 + 3*n**5 + n**5 + (-2*n**4 + n**4 + 0*n**4)*(-n + 3*n - 4*n).\nAnswer: 3*n**5 + 2*n**4 - 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1817\/158)\/(23\/(-46))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11466 divided by -147.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 3:48 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-22)*(-48)\/(-40)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -6*s - 18. Let d(v) = -4*v. Let q(c) be the second derivative of -5*c**3\/2 - 26*c. Give s*q(t) + 22*d(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144367 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 236208773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18367631 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: Let v(g) = -4*g - 33. Let h be v(-9). Solve 0 = -5*b - h - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**6\/2 - 17*g**3\/3 - 8. What is the third derivative of y(i) wrt i?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48188.85ml to litres.\nAnswer: 48.18885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 4*q + 41, -57*q + 2*s = 6*s + 84 + 229 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by -2 - (1 + 2 + -22)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 572.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o + 7*o = 15*o + 25389. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332929369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.909533 kilograms to micrograms.\nAnswer: 7909533000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/14*(-4)\/36?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 235, 357, 479, 601?\nAnswer: 723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 9:53 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*(-4*(sqrt(68) + sqrt(68)*-1 + -1 + -1) + -3))**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 502 and 20?\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44040 (base 7) to base 15.\nAnswer: -33d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021112 + -12?\nAnswer: -1021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1047 >= -1231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -169 - -169. Suppose t = 2*z - 33 + 29. Put 1, 11, -5, z in ascending order.\nAnswer: -5, 1, z, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 0*j = -14. What is the third derivative of 12*z**3 + 8*z**j - 9*z**3 + 8*z**3 wrt z?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((7 + 7)\/14)\/((-2)\/(-14)). Solve -f*h + 5*h + 10 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 - 3*x + 3. Let g be i(2). Calculate the greatest common divisor of g and 369.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3053 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from {o: 1, u: 4, b: 2, a: 1, g: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75421 (base 8) to base 16.\nAnswer: 7b11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - 294 - -66 - -84.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 - 26 = -10*q - 58 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5017?\nAnswer: 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(57)\/sqrt(3) + (-2*sqrt(228))\/sqrt(12).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/13 + 842*w**4 + 15274026*w**3\/13 + 62381646*w**2 + 5022778572*w\/13 + 4227080256\/13 = 0. What is w?\nAnswer: -2709, -48, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 921*w + 132 = 909*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1484*s**4 + 814 wrt s?\nAnswer: 5936*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6.4554 + 0.3\nAnswer: -6.1554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 15*z + 37. Let o be w(8). Let r be 2 + (1 - (1 + -1)). Let v = o - r. What is the greatest common factor of 14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5 + 7. Suppose v = -p*s - 4 + 2, -2*v = -3*s - 29. Calculate the greatest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12538.4 - -26190.9.\nAnswer: 13652.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**5\/50 + 2*n**4\/15 - 4*n**3\/15 - 2*n - 3. Let j(a) be the first derivative of k(a). Factor j(d).\nAnswer: -2*d*(d - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/1 - (2 - 1)*1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(80) + sqrt(80)*2)*4.\nAnswer: 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*o - 210 = 69 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/4*(13 + -12 + 15 - 20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 743 + -741. Let l(p) = p**2 - 4*p + 4. Calculate the remainder when l(5) is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 10\/(0\/(-4) - -2). Solve x - 2*n - 3*n = 23, m = -4*n - 16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 11*q. Let g(v) = -9*v**2 + 7. Suppose 0 = 60*r - 58*r - 14. Let d(s) = -3*s**2 + 2. Let t(b) = r*d(b) - 2*g(b). Calculate t(m(o)).\nAnswer: -363*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -644, -673, -752, -905, -1156, -1529, -2048, -2737?\n\"Answer: -4*v**3 - v**2 + 2*v - 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*q = -13*q + 630 + 606 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(-6)*-2*57?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -16 + 12 + -24 + -24?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 0.03, 28.8, -0.3, 302?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.1832km in millimeters?\nAnswer: 8183200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*(sqrt(171) + sqrt(19)) - (sqrt(76) + 0 + -2))**2.\nAnswer: -488*sqrt(19) + 282800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/((-11)\/22). Which is smaller: 4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 595.0911 months to decades.\nAnswer: 4.9590925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -159 - 189. Let f = m - -247. Let b = f + 101. Which is smaller: b or 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 49 (c) 3 (d) -37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 2. Let z be 4 + -8 - (-22)\/2. Suppose -z*j - 30 = -2*j. Calculate b(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -1, 2, 397, 9 in decreasing order.\nAnswer: 397, 9, 5, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -211 + 307. Differentiate -18*s**3 + 195 - z - 123 wrt s.\nAnswer: -54*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-10)*(-4)\/2*-3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2. Let i(m) = -9269*m**2. Give a(i(v)).\nAnswer: 85914361*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110011 + 11?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 6*g**2 - 6*g + 2. Let u be l(-5). Suppose 11*r - 56 = u*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(4\/7))**(-3\/2)*(l**(-24)*l)\/(l*l\/(l*l**(-9\/2))) assuming l is positive.\nAnswer: l**(-216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-206 - 25*r**2 + 206 - 4*r)*(-5 + 48 + 3) to g*r**2 + f + p*r and give p.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 + 12*j**4 + j**3 - 8*j**4 + 134*j in the form w + z*j + p*j**2 + i*j**4 + k*j**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u = 42*u + 280. Let l be (-20)\/u*4\/1. Solve 2*r = 4*v + 14, l*v - 1 = 2*r - 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-25 - -18) - 19 - (-42 - 2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.86099 rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -39*l + 4. Let w(t) = 43*t - 4. Let q(g) = 5*j(g) + 4*w(g). Give q(2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21439 is divided by 315.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -375*c + 375*c + 50*c**2 + (0*c + 2*c - 7*c)*(c + 3*c - 2*c).\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 21*u**4\/4 + 104*u**2. Let j(r) = 3*r**2. Determine j(i(v)).\nAnswer: 47628*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13932?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.65 * 0.22\nAnswer: -0.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3868653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2. Suppose -5*t - 90 = -5*z, 2*z - 10 = t - 3*z. Let s = 23 + t. Let h(l) = -s*l**2 + 2*l**2 - 2*l**2 + 2*l**2. Calculate h(g(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvvvbvvvvvvvvvvvvv.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -238, 0, -1.9, 1\/9, -0.1 in descending order.\nAnswer: 1\/9, 0, -0.1, -1.9, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*q + 2*l - 1, 0 = -q + l - 1. Sort 2, 6, q.\nAnswer: q, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4252, -8502, -12752, -17002, -21252?\n\"Answer: -4250*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + 22 - 3) + 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*i + 3. Let l = 5.08 + -0.08. Which is the biggest value? (a) -4\/5 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 4*d + 25 + 25, 4*d + 60 = -4*n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72632 and 145264?\nAnswer: 145264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 0*h + 12. Let d(i) = 32*i + 57. Let j(n) = 10. Let w(a) = -d(a) + 5*j(a). What is the tens digit of w(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ftjjtjfuuujtjjj. What is prob of sequence fjuf?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 161714700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 2)*(-390*d**2 + 3*d**4 - 28*d**4 + 382*d**2) to the form o + g*d**2 + k*d**4 + w*d**3 + m*d and give k.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 36 - 43 = -7 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l**2 - 13*l - 7. Let d be n(-6). Suppose 6*u = d + 5671. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(10\/3))**(-25\/3)\/(n**(6\/7)\/(n**(-16\/3)*n)) assuming n is positive.\nAnswer: n**(-2077\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4453741 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 + 3*q - 2*q**3 + 0*q**4 - 2*q + q to the form f*q**3 + l*q**2 + o*q**4 + z + c*q and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 + 114. Let m = 35 + q. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*-2*-4)\/(1*(sqrt(3) - sqrt(12)\/sqrt(4)) - sqrt(3)))\/((2*sqrt(640))\/(1*sqrt(324)))*5.\nAnswer: -45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjjwj. Give 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 nearest to 1 in -5\/2, -5, -4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.4 + -15. Which is the fourth biggest value? (a) -2 (b) r (c) 0 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/537 and -73\/50478.\nAnswer: 50478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4.1 * -0.41\nAnswer: -1.681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-30)\/(-12)*17\/5)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q - 2*q - q**3 - 100 + q**2 - 3*q**4 + 99 to v*q + c + l*q**3 + f*q**2 + h*q**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41459279*w - 55130981 wrt w.\nAnswer: 41459279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaay when four letters picked without replacement from ayaoy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(126) + (sqrt(126) - -5*(sqrt(126) - (sqrt(126) - (-1*sqrt(126) + sqrt(126))) - sqrt(126))))\/(sqrt(32)\/sqrt(4)) + 0)**2*4 + 3).\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h = 25*h + 18. Let a be -74 - (-2)\/(6\/h). Let q = 128 + a. What are the prime factors of q?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -122*f**3\/3 - f**2 + 286*f + 92. What is the first derivative of i(k) wrt k?\nAnswer: -244*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-35)\/(-4) + (-3)\/(-12). Let z be (-201)\/15*-1 - 2\/5. What is the units digit of -1 - u\/(-6) - z\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 42 = 5*f. Let a(x) = 15*x - 5 + 4 - x**2 + 5. Is 18 a factor of a(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**5)**(4\/27)*(j*j\/j**(-1\/19))\/(j\/(j\/((j**(-8)\/j)\/j*j))))**(-38))**1 assuming j is positive.\nAnswer: j**(-4084\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, 4, 0.8, 191, -265, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 - 27*v**2 + 1827*v + 22431. What is d(-12)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*d + 4*a = 252*d - 17, -4*d - 4*a - 12 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -41*u - 39 - 55*u**2 + 2*u - 49*u**2. Let b(k) = 13*k**2 + 5*k + 5. Let y(j) = -39*b(j) - 5*c(j). Let z(t) = -2*t**2. Calculate z(y(d)).\nAnswer: -338*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 2\/5, 7714?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -f + 4*f. Suppose 0 = -5*l + 3*a + 5, f*a + 8 = 2*l - l. Suppose -5*z - 7 = -27. Sort z, -5, l in decreasing order.\nAnswer: z, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1134) + -1*sqrt(224))\/(6*(sqrt(7) - (sqrt(7) + sqrt(343)*5))))**2.\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/899)\/((-13)\/26).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 851 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.000235ug to milligrams.\nAnswer: 0.005000235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**4\/2 + 6*l. Let x(z) = 72*z**2 - 22*z**2 - 23*z**2 - 21*z**2. Give x(a(n)).\nAnswer: 216*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22503647.5999931 - 22503631.9. Let d = 15.7 - m. Round d to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - m - 3*m)*(-3 + 15*m**3 - 12*m**3 + 2) to the form g*m**4 + l*m**2 + x*m**3 + t*m + v and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/20 - (93010\/(-275) - -5). Let p = 294453\/880 - n. Calculate the common denominator of 81\/80 and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 64*q - 2 - 23*q.\nAnswer: 41*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z**3 + 555795*z**2 - 3882315690*z + 290904920235 = 0.\nAnswer: 303\/4, 13857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 174567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 5:40 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 152, 138.\nAnswer: 64, 138, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) 0 (c) -11 (d) 2\/7 (e) -0.795 (f) -2\/5357\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 178296.6 meters?\nAnswer: 178.2966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) 27 (b) 11 (c) 4 (d) -7 (e) -3 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 63 + 54. Let t = v - 26. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from juuonjjndluuojujl?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m = -33 - 7. Let s(j) = -j**2 + 4*j + 1. Calculate the least common multiple of s(2) and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 17 = -5*b, 16*i = -119*b + 124*b - 57 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 + 78. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -1\/1523?\nAnswer: -1\/1523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30586?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6018 divided by 17\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s. Let t(f) = -f. Let l(a) = 24*t(a) + 3*u(a). Let q(z) be the first derivative of -2 + 0*z**2 + 0*z - 1\/3*z**3. Calculate l(q(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2331003, 2331002, 2331001?\n\"Answer: -x + 2331004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -1240*s - 293. What is the hundreds digit of w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**3 - 4 - 3*h**4 + 0*h**4 + 7 - 3*h**3 as r*h**4 + f*h + l*h**2 + n*h**3 + t and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1082090047.\nAnswer: 1082090047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 4*x = 11*z + 5, 5*x = -z + 4. Let k be (24\/(-9) - 0)\/(6\/z). Sort 4, 3, 1\/7, k in decreasing order.\nAnswer: 4, 3, 1\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 286*n**2 - 1127*n**2 + n + 49*n**2 in the form v + q*n**2 + f*n and give q.\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.642 - -0.142. What is the smallest value in 6, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 12*l**2. Let f(x) = -492*x + 5. Let c(u) = 341*u - 3. Let y(h) = 4*c(h) + 3*f(h). What is p(y(z))?\nAnswer: 150528*z**2 - 8064*z + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p. Let m(n) be the second derivative of -217*n**3\/6 + 9*n + 18. Give m(c(x)).\nAnswer: 434*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrrryyryryyyy?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 120675700 to the nearest one million.\nAnswer: 121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33831 and 11.05.\nAnswer: -373832.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 x when four letters picked without replacement from cxunnuuuuuxuxuxx?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37.55 - -32.55. Which is the closest to -13? (a) t (b) 0 (c) 1 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3 - 4*j**2 - 14*j - 8 = 0. What is j?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from hjjkqq.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 2\/11, -2\/5, 0, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*z - 3*u, -3*z + 2*u = u + 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/11 and (-1)\/3 + -22 + (-42840)\/(-1900).\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -11*n - 8. Sort 8, 5, n in decreasing order.\nAnswer: 8, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/64?\nAnswer: -7\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 16*z**2 - 22*z - 8. What is c(-14)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1.1 (b) -6\/7 (c) 0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294 + 240 = -89*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -324c - 0?\nAnswer: -324c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19840814 by -2.\nAnswer: -9920407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -3*w**6\/2 - 16*w**3\/3 - 14. Find the third derivative of z(a) wrt a.\nAnswer: -540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171587 by -13199.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1978 + 1986. What is the highest common divisor of 472 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgsg when four letters picked without replacement from {s: 2, g: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 0) + 6 - -5 - 19 - -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -241.45371 + 1673.03?\nAnswer: 1431.57629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.08, -0.4, 1.8, 2\/5?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(4*169\/104)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14443776 a multiple of 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 3*p + 2. Let q be d(-2). Suppose 2*r = 102 + 142. Suppose r = q*z - 882. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*m + 15, -5*a + 0*m + m + 5 = 0. Suppose a*x - 15 = -n - 5*x, -5*n - 5*x = -35. Let d(r) = -r**2 + 7*r - 6. Give d(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1149283\/8442 - 22587545513\/182516040. Let k = x + -1442\/115. Calculate the common denominator of -28 and k.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -87322.0696 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219562, 439125, 658688, 878251, 1097814, 1317377?\nAnswer: 1536940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b**2 - 10. Let h(y) = y**2 - 1. Let t(z) = d(z) - 6*h(z). Does 5 divide t(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -369898, -739757, -1109616, -1479475?\n\"Answer: -369859*w - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-2408754.\nAnswer: -48175.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 62 = -3*h, 5*x - 2*x + h - 86 = 0. What is the remainder when x is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45)\/55 + 4\/4 - (-248)\/88. Solve -5*g - u = -28, 2*g - 5*g = -4*u - s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 580*b - 1159. Let y be z(2). Solve -4*s - t = y, s - t - 2*t = -11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c - 2. Determine d(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (16\/((-448)\/70))\/10*(-40)\/(-22)\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.356 and 25927?\nAnswer: 25927.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(19)*4)**2 + (sqrt(931) + 1 - sqrt(931))**2.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46205202\/565 + -81779. Let c = x - -65293\/1130. Let p = -58 + c. Calculate the common denominator of 31\/12 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j + 19 = -4*g, -j = 4*g + 21. Let t(d) = -d. Give t(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h**3 + 9*h**2 - 7*h - 19. Calculate a(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2 + 221282*s + 663855 = 0.\nAnswer: -3, 221285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 698 + 258 = 5*n, 5*n = -3*i + 400. Calculate the highest common divisor of i and 6060.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44410150 - 105?\nAnswer: 44410041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722829111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-23)\/(-4) + 13\/52. Let f(n) = 2*n**2 - 7*n + 6. List the prime factors of f(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-278)\/1112)\/((((-2)\/8)\/((-1)\/(-1)))\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 687*s**2 - 331*s**2 - 317*s**2.\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + 3*x**4 - 2*x**4 + x**2 - 85 + 92 in the form i + u*x + a*x**3 + c*x**4 + j*x**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 7*c - 8. Let m be t(-6). Let j be -2*19 + (20 - 28). Let o = m - j. Which is bigger: o or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21452*a = -21678*a - 4294 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6220554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 8:44 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 5*h + 3*z + 30, z = -5. Let u(n) = -h*n + n + n. Let f(o) = -3*o - 5. Let b(q) = -12*q - 21. Let r(k) = 5*b(k) - 21*f(k). Calculate u(r(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + 1 + (23 - 17).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/4, -1901 in ascending order.\nAnswer: -1901, -3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 106\/(-3) - 3. Let l = q + -33. Which is the closest to l? (a) -2 (b) 4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 4. Let w be z(-9). Let y = w + 6. Let i be (0 - 1)*0*y. Sort i, -2\/13, -0.3 in ascending order.\nAnswer: -0.3, -2\/13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21304 + -677914121.\nAnswer: -677935425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 142 * -0.0121\nAnswer: -1.7182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4148*o + 44925 = -13009 - 2078 + 6088 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8127, -8190, -8249, -8304?\n\"Answer: 2*g**2 - 69*g - 8060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 8. Suppose -2 = v*f - 22. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -19*b**3\/6 + 2*b**2 - 11*b. Differentiate d(x) wrt x.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75.70182 litres?\nAnswer: 75701.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 262, -3, 3, -2 in increasing order.\nAnswer: -3, -2, 3, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s - 44 = -10*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -118.55 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(65)\/sqrt(5) + 3 - ((sqrt(143)\/sqrt(396) - sqrt(13)) + sqrt(13))) + -5).\nAnswer: -5*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6 - -5) + 8)*6\/7. Solve 2*u + s = 5*z, 3*u - z = 1 + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 13 (b) -9\/2 (c) 3.6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (7 + -1 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efel when four letters picked without replacement from fmexleoxf?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 2*b**5\/5 - 17*b**4\/24 - 9*b**3 - 3*b**2 - 39*b. Is v(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - 0. Let d = -11 - p. Let g = 7.096 - d. What is g rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 937, 1875, 2813, 3751?\nAnswer: 4689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 - 4*n**4 + 2*n**4)*(5*n - 3*n - 3*n) + 2*n**5 + n**5 - 2*n**5 + 3*n - 5*n**5 - 3*n.\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 18*m + 16. Let w be s(5). Let a be (-4 + 4 - 4) + w. What is the common denominator of -83\/6 and (110\/(-33))\/(8\/a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120568522 by -1.\nAnswer: -120568522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 251299469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 0.26336, 0.03 in ascending order.\nAnswer: -0.8, 0.03, 0.26336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**3 - 2*j**2 + 1. Let c be 3 - 1 - 1 - 0. Let f be a(c). Suppose f*z = m + 458, 7*m + z = 4*m - 1348. Round m to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4554\/23)\/6 - 20\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -68*w + 10. Let s be i(3). Let m = s - -281. Suppose -m = -6*r + 237. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/2 - 9*c**2\/2 - 54*c - 48.\nAnswer: 3*(c - 8)*(c + 1)*(c + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -3.4. Let b be (-20)\/11 - 0\/1. Let l = b - -47\/44. What is the biggest value in 1, w, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2*(-3)\/(-6))\/((-4)\/136) is divided by ((-2)\/4)\/((-1)\/24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6873461 (base 9) in base 16?\nAnswer: 389a5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -309 - -516. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19125 divided by -8.\nAnswer: 19125\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3 + 217*j**2 - 1275*j + 1899 = 0. Calculate j.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 163617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1961115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*o - 5*l = 67*o - 4320, -5*o + 2*l + 4320 = 0. What is the least common multiple of o and 6?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 686919?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - s + 0*s)*(2 + 1 + 1)*(-s + 0 + 0).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*i = -4 - 2, 15 = 3*i. Suppose k*p = 9 - 1. Which is the smallest value? (a) 2\/3 (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 411281.9t?\nAnswer: 411281900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113 or 1006\/9?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a40b (base 12) to base 6.\nAnswer: -5414415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*r + 3719 = l - 78*r, 5*r = -25. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 + 74 = -5*g. Suppose -3*c = -2*f - 24 - 21, 0 = 4*c - 2*f - g. Solve 0*r - c = r - 4*v, 5*r = -2*v + 23 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2209981832 - 2*x**2 + 2209981832.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.05, 1, -1\/97, -5, 5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -799514.871729 less than 0.02?\nAnswer: 799514.891729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4079935 divided by -1\nAnswer: 4079935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63626 is divided by 60.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2185)\/(-570) + 26\/(-4)*(-34 - -36)?\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 419\nAnswer: 9\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g = 5*f + 35865, 53770 = 3*g - 2*f. Suppose -g = 6*c - 20*c. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*m*y**3 - m*y**2 + 10*y**3 - 8*y**2 wrt m.\nAnswer: 13*y**3 - y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = -34*u + 561. Factor -6*v + 7*v + u*v + 2*v**2 - 3*v**2.\nAnswer: -v*(v - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + -3 + (7 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 6:38 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 14*u + 14. Let f be 1\/6*(-468)\/(-6). Determine g(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 3 - (-12)\/(-4). Let a be z*(-1 + 1 + -1). Suppose -2\/9*i**4 + 2\/9*i**3 + 4\/9*i**2 + 0*i + a = 0. Calculate i.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-132)\/10)\/(4\/(-10)). Solve -4*m = 5*l - k, l - m = -0*m + 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -16, 2 in ascending order.\nAnswer: -16, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 4088 - 4070 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 - 54*l - 173. Give w(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/9)\/((-8)\/(-12)). Let v be s - -6*35\/(-100). Let l = 2.1 - 2. Which is bigger: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/12 + 2\/(-2 - -3). Is ((-3805)\/(-3))\/((-2)\/((-30)\/z)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v*v\/(v\/(v\/(v**(-2\/9)\/v)*v*v))))*v)**(-33)\/(v**(-1\/15)\/v**(-4\/5)) assuming v is positive.\nAnswer: v**(-3586\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -320841+4\nAnswer: -320837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 8*d - 48. Let y be 1\/(-2)*(-24 + 0). Let f be t(y). Is -4\/29 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1630 - 2116?\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 9:02 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f**(-6)*f)*f*f*f**(-1\/3)*f**3*f**(-1\/2) assuming f is positive.\nAnswer: f**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -192 - -125. Let j = -46 - v. Solve -2*k - k = -3*r - j, 3*r - 2*k = -17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 7. Let y(j) = 2*j**3 - 6*j**2 - 8*j. Let f(l) = l**3 - 2*l**2 - 3*l. Give p*f(z) - 3*y(z).\nAnswer: 2*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48409022 is divided by 772?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 35739*i**2 + 52*i + 37. Is b(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -4*b + 3*b. Let r = 30 + b. Round r to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13362 - 2347 = 5*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2557155?\nAnswer: 3, 5, 227, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 - 7*m - 165*m**3 - 3 - 2*m**2 + 2*m**2 + 179*m**3 as x + y*m + i*m**3 + v*m**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/10 and -25\/54128.\nAnswer: 270640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 3 = 4*m + 396*f - 399*f, 4*f + 80 = 20*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(x*x**(-4))*x)\/x))\/x**(1\/17)*(x*(x\/x**(1\/3))\/x)**(-1\/8) assuming x is positive.\nAnswer: x**(-641\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*s**3 + 114*s**3 - 45*s**3 - 34*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 - -83. Calculate the highest common factor of c and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuuekeleluljel. What is prob of sequence kel?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*n = 907 + 1306 + 2617 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61280033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3605 and 231750?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k - 10. Suppose -16 = 4*r + p, -2*p - 14 = 2*r - 6. Let w be v(r). Solve 0 = -d + 7*a - w*a + 16, 3*a = d - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -8 (b) -2\/9 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -8\/5 + 116\/5*u**2 + 108\/5*u = 0.\nAnswer: -1, 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/81 in -2\/3, 3\/2, -1\/3, -2, 15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 144 - 152 = -4*x, -3*x - 3*i - 18 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26)\/sqrt(2) + 4)*-4 - (4*(sqrt(91) - 2*sqrt(91)))\/sqrt(7))**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24\/661 - -829\/4627. Let o = -3.5 - 0.1. What is the biggest value in -0.1, o, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1 - 14 = 0. Suppose g*t = 4*t + 5. Find the second derivative of t*w**4 + 117*w**2 - 7*w - 117*w**2 wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6018 + 1510 + 1489 - 185*i**2 + 1513 + 1506.\nAnswer: -185*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -241*h**3 - h**2 + 2*h. Let w be p(1). Let j = w + 707\/3. Calculate the common denominator of 5\/6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 4*j**5\/5 - 21*j**4 - 88*j**3\/3 + 336. Solve s(k) = 0 for k.\nAnswer: -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -32995132.\nAnswer: 7\/16497566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 24 + 0 = 0. Let h = g + 180. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5241 = -12*a + 147. What is the remainder when a is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 10 = -0. Let w be (-6)\/(-15) - ((-9)\/15 + -5). Let n be (2400108\/(-18) + 6)\/(a\/w). What is n rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 7:48 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-14) + 51960\/(-630). Let s = y + 247\/3. Which is smaller: -146 or s?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -11. Let s(z) = -3*z**3 + 3*z**2 - 2*z - 8. Let h(y) = 2*y**3 - 2*y**2 + y + 5. Let i(l) = t*s(l) - 8*h(l). What is a in i(a) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 49.8 (b) 1\/7 (c) -0.3 (d) 0.2 (e) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 2*x**2 + x**4 + (2*x - 2*x + 2*x**2)*(-x**2 - 5*x**2 + 5*x**2))*(-126 - 201 + 27 + (1 + 0 + 1)*(-4 + 0 + 2) - 3 + 5 - 1).\nAnswer: 303*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 50. Let k(w) = w**2 - 4*w + 3. Suppose r - 10 = -r. Let y be k(r). What is the greatest common divisor of y and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*h**2)*(-13306386*h**2 + 0*h - h + 13306378*h**2 - 7).\nAnswer: 24*h**4 + 3*h**3 + 21*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 128519?\nAnswer: 128519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.377 + 0.023. Sort u, 16, 3 in increasing order.\nAnswer: u, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1989965238.\nAnswer: 2, 3, 10159, 32647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 1, 2, -211, 0.\nAnswer: -211, -3, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 21*x + 1. Does 11 divide m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -81, -74, -57, -24, 31, 114, 231?\n\"Answer: i**3 - i**2 + 3*i - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104 - (-100 - 46)) + -54.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -17*v**2 - 113*v + 3. Let w(f) = -5*f**2 - 38*f + 1. Determine -7*w(l) + 2*x(l).\nAnswer: l**2 + 40*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 14 + 120. Let x = r + 109. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193990509.\nAnswer: 3, 103, 209267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 47*z + 88198 = 0. What is the remainder when z is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 17, d: 2}. What is prob of picking 2 u and 1 d?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103.87 + -107.37. What is the closest to -1\/2 in -4, -5\/2, s?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 - 72*y**4 - y**3 + 34*y**4 + 4 + 40*y**4 in the form r*y**3 + x*y**2 + h*y + j + o*y**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 213*b**2*w**2*x**3 - 329*b**2*w**2*x**2 + 78*b**2*w*x**3 + 3*b**2*w*x**2 + x**2 + x wrt x.\nAnswer: 1278*b**2*w**2 + 468*b**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/4, -135, 0.5 in descending order.\nAnswer: 3, 0.5, 1\/4, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27)\/(-6) + 2\/4. Suppose 14 = -y + o*i + 5, 2*y = -i + 15. Calculate the remainder when 11 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 13*w + 28. Let d be a(16). Which is smaller: 4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3125, 6120, 9101, 12062, 14997, 17900, 20765, 23586?\n\"Answer: -t**3 - t**2 + 3005*t + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12 + 2 + 5)*-8 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3812\/8)\/(4*(-2)\/(-48)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16 + (-325992)\/(-8 + -9)?\nAnswer: 2, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 0*v + 0 - 4\/105*v**7 + 11\/60*v**6 + 0*v**3 + 3\/8*v**4 - 2\/5*v**5 + 5*v**2 + 1\/336*v**8. Suppose w(a) = 0. What is a?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, -0.1, 0.21 in decreasing order.\nAnswer: 3, 0.21, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-26)\/(-65))\/((-1)\/(-230)*2). What is the third derivative of -22*w**4 - 75*w**2 - 54*w**2 + d*w**2 wrt w?\nAnswer: -528*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 1 + 4*o + 1. Let j(i) = -4*i + 12*i**2 + 4*i - 2*i**2. Give r(j(a)).\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6063839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 196693.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**4\/8 + f**3\/2 - 37*f**2. Let p(k) = 9*k - 10. Determine 2*p(r) + 7*z(r).\nAnswer: -3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 8*v = -4*v - 606, 3*v - 1187 = -2*w. Let l = w - 327. Is 37 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/5*(4 - 30\/12). Suppose 3*y = 3*r - l, 7*y + 4 = -2*r + 3*y. Is -2\/347 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-40))\/(-7)*3295\/(-11203)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/6*1116\/(-1860)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*3\/(-45)*24. What is the highest common divisor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8351.422 litres?\nAnswer: 8351422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(-6) + (-2)\/(-4). Sort 3, a, 4 in ascending order.\nAnswer: 3, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2 - 181380*b - 4112338050 = 0. Calculate b.\nAnswer: -45345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.32 - -11.68. Let q = 11.795 - j. Let y = 2.415 + q. What is y rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 8*t - 11*t - 4*a, -31 = -t - 5*a. Let w(l) = l - 1. Calculate the smallest common multiple of t and w(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 3*g**2 + 0*g + 1\/24*g**4 + 5\/6*g**3 + 0. Give u(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22758 divided by 7586.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 319, 408, 523, 664, 831, 1024, 1243?\n\"Answer: 13*d**2 + 50*d + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/2 - 11710*r**2 + 15611*r\/2 + 3903.\nAnswer: (r - 7806)*(r - 1)*(3*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*c**3 + 24*c**2 + 84*c**3 - 42*c**3 wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**5\/20 - 7*b**4\/6 - 7*b**3\/3 - 3*b**2\/2 - 19*b. What is the tens digit of x(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 127 = 15*h - 24, 0 = 5*h - o + 35 - 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 = 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + (1 + -1 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3 = -4*t + 62, t = 4*i + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*f**4 - 4 - 4 + 5 wrt f.\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23697 divided by 7899.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (189\/(-60))\/21*-9*18\/(-243).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - b2?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.556 times 48?\nAnswer: 2330.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**5 - 66152*w**4 - 56047020*w**3 - 11611911744*w**2 - 11555930880*w = 0 for w.\nAnswer: -408, -1, 0, 17355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 + -1.3. Which is the smallest value? (a) 1\/2 (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p**2 - 4*p - 10. Let r(n) = -8*n**2 - 5*n - 10. Let d(v) = -4*r(v) + 5*x(v). What is the derivative of d(k) wrt k?\nAnswer: -26*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r. Let c(d) = 154*d**2. Calculate c(u(m)).\nAnswer: 1386*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + (41 - 44 - 43)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -1\/5 (b) 29 (c) 0.039 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 8:18 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*v = 20, 8*h - 804*v + 15 = -807*v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1868*k = 131*k + 87*k + 9900 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o - 828 = 6*o + 26*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.35687426234915 plus -6?\nAnswer: -4.64312573765085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 165*v - 167*v + 2806. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -23*g - 3. Let m(w) = w + 1. Let o(q) = 4*m(q) + x(q). Let y(c) = -318*c + 148*c + 168*c. Give o(y(j)).\nAnswer: 38*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7038137*s*z**2 + 914*s*z + 9*z**4 + 46*z - 97 wrt z?\nAnswer: 14076274*s + 108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234909 is divided by 169?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2)*f)\/f)**(-5\/13)\/(((f**(4\/3)*f)\/f)\/(f\/(f\/(f*f**(4\/9)))))*(f\/(f*f\/f**(-2\/3))*f**(-2\/9)\/f)\/(f**(3\/7)*f**(2\/11)) assuming f is positive.\nAnswer: f**(-23594\/9009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(25\/(-125))\/((-3)\/(-5))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**3)*l\/l**(-4)*l\/((l\/(l\/((l**5*l)\/l)))\/l*l)*l*l**(-3\/2) assuming l is positive.\nAnswer: l**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1152 and 1332?\nAnswer: 42624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 - 12175*r\/2 + 148230625\/4.\nAnswer: (r - 12175)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1328\/415)\/(1688\/41145).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 41, -12 in ascending order.\nAnswer: -12, 1, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*1*20\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -2\/49 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 1, 0.05, 27\/7, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, v: 7}. Give prob of picking 1 t and 1 v.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -0.1276.\nAnswer: 0.00638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.459722kg to milligrams.\nAnswer: 4459722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*t - 1. Let q(b) = -9*b + 5*b**t + 4*b - 4*b**2 + 1 + 7*b - 8*b**3. Determine q(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(75)*-1 + (-2 + sqrt(75)*1)**2.\nAnswer: -25*sqrt(3) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 5189760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/f**0*f)\/f*f)\/(f*f*f*f\/(f*f**(-5))))**3\/((f*f**(5\/4)*f*f*f)**(-2\/5))**(-33) assuming f is positive.\nAnswer: f**(-843\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q - 249. Give d(5).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168\/(-378) + (-5260)\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-42)*(-9)\/(-21)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (390*r - 220*r + 503*r)*(-1 + 1 + r**3) + 0*r**4 + 0*r**4 + 2*r**4 to the form h*r**2 + k*r**4 + q*r**3 + o*r + x and give k.\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2522763 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f**2 + 5. Let p(u) = u**2 - 3*u + 2. Let z(a) = 3*a**2 - 8*a + 5. Let n(h) = 8*p(h) - 3*z(h). Calculate 20*n(w) - 4*y(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 22396*w - 18 = 22395*w, 3*h = 4*w + 49 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, v: 1, a: 2, p: 4, j: 1}. What is prob of sequence aa?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 782.\nAnswer: -78.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20408 + -4?\nAnswer: 20404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 30*d + 20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4062768*v. Let d(j) = -j. What is b(d(i))?\nAnswer: 4062768*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500 = x - 2*v - 381, -2*x + 1782 = v. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 10*d**2 - 3*d - 11. Is k(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 426\/66*((-152)\/48 + 3) and -77\/186.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 0, 5*r = -h + 85 - 10. Suppose -3*k - 4*m - 22 = -3*m, 30 = -5*k + 5*m. Calculate the remainder when h is divided by 274\/14 - (-4)\/k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 15, 1\/2, 35, 1\/12?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*a = 69, 13018*c - 13014*c = 2*a + 72 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 l when three letters picked without replacement from bdlabdallla?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -81*z - 6. Let q(x) = -45*x - 4. Give 6*o(b) - 11*q(b).\nAnswer: 9*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 6*b - 72. Calculate the greatest common divisor of 9 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyzz when four letters picked without replacement from yyyzyyyyz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 807.0921 less than -1330940?\nAnswer: -1331747.0921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8123c3 (base 15) to base 3\nAnswer: 102112121012210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 18*m - 46. Let x be v(14). Suppose -52*d + x = -47*d. Solve -d*w + 2*j - 10 = 0, 4*w + 3*j + 11 = -2*j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 61, 90, 97, 76, 21, -74, -215?\n\"Answer: -r**3 - 5*r**2 + 51*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 187 + -88. Let h = i - -320. Let x = 418.99999308 - h. Round x to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Suppose -56 + 24 = -n*i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1190 and 88577650?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1342 and 427?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2417 > -2428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**6\/120 + c**5\/60 - c**4\/4 + c**3\/2 + 3*c**2. Let l be v(4). Suppose -4*o = -l + 19. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 0*i + 18. Let f(n) = 3*n + 14. Let h(m) = -3*m - 19. Let u(y) = 3*f(y) + 2*h(y). Give u(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (104\/260)\/((-5)\/(-75)). Solve 0 = -t - m*t + 42 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 226799611 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29\/25? (a) 0 (b) 5 (c) -4293\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*j - 402*j + 3944 + 6961 - 933 = 0 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/14)\/((-1332)\/34188)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 5\/21*t**3 - 257*t + 0 + 100\/21*t**2 - 1\/210*t**5 - 1\/21*t**4. What is k in u(k) = 0?\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -277.04 + 278. Let i = 5.96 - r. What is the nearest to -2\/5 in i, 2\/3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 3:00 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55996, -110970, -165944?\nAnswer: -220918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-27 - (-56 + 32)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**2 + 10*n + 10. Let r(g) = 3 - 3122*g**2 + 3120*g**2 + g + 2*g. Give -3*q(d) + 10*r(d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 20*o**3 - 8. Let t(y) be the second derivative of -7*y**5\/20 + 3*y**2\/2 - 21*y. Suppose -a + 15*a + 20 = -218. What is a*t(w) - 6*x(w)?\nAnswer: -w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 132.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 8*w**2 + 8*w + 6. Let p be g(-6). Suppose 3*q + 6 = p. Let y be q\/30*(-3)\/2. Which is bigger: y or -2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o**3 + 6*o**2 + 12*o + 2. Let s be z(-1). Factor 2*p**2 + 1\/4*p**s + 5\/2 - 19\/4*p.\nAnswer: (p - 1)**2*(p + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i - 8. Suppose 5*h - 11 = 4*z - 44, -3*z + 11 = -h. Let w be 1\/z - (-85)\/10. Let u = -15 + w. Let r(d) = -15*d - 17. What is u*r(v) + 13*k(v)?\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123.2 - 123. Which is the nearest to -0.1? (a) w (b) 4\/9 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8875060 and 60?\nAnswer: 26625180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 607969932 a multiple of 1535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17612 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 2, v: 1, s: 4, e: 3}. Give prob of picking 1 s and 1 f.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 435677861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - m - 4*m. Let y(z) = z. Let a(u) = -6*u. Let j(c) = -6*a(c) - 39*y(c). Calculate n(j(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-11 - -16) - (-3 + (-18 - -3)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 + 119*z**2 - 2085*z + 17139. What is g(38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 479\/4 - 121. Let w be 3\/6*4\/(-5). Suppose -2*g + 2*v + 2 = 0, 2*v = g - 0 - 1. Which is the nearest to 0.1? (a) w (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2128*j = -1083*j - 1074*j - 899 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 + (-3 - -1) + -3 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**6\/3 + 8*b**5\/5 + 3*b**4 + 8*b**3\/3 + b**2 + 6. Let q(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 6:50 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7*r - 743 = -6*r, 733 = y + r. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {t: 2, o: 1, i: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (138\/(-30) + 5)\/(2\/(-70)). Let f = 10 - o. What is the remainder when f is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/9 - (-1)\/((-36)\/(-8)). Let g = -64 - -108. What is the highest common divisor of v and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*r + 4*y = 270*r - 12, 2*r = 5*y + 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3*w**5\/w)\/((w\/w**(2\/7)*w)\/w)**(-2\/7) assuming w is positive.\nAnswer: w**(353\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p + 3 - 3)*(3*p - 3*p - 2*p) + (-2 + 1 + 0)*(p**2 - 4*p**2 + 5*p**2) to l + x*p**2 + y*p and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -9, -2, -2\/35, 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 511 - 500. Suppose -311 + 91 = -j*v. Calculate the lowest common multiple of v and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -17, 1, 0 in ascending order.\nAnswer: -17, -10, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -95328+-1\nAnswer: -95329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 696*j**2 + 87*j + 28. List the prime factors of o(10).\nAnswer: 2, 101, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3847 and -0.3815748.\nAnswer: -3847.3815748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -4. Let o = 2 - j. Suppose 35 = 5*d - o*m - 142, 5*d + 3*m = 197. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8001?\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 - 7*t + 12*t + 5*t**3 - 7*t.\nAnswer: 7*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 282*w**3 + 9*w**2 - 852*w + 564.\nAnswer: -3*(w - 94)*(w - 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 217 - 120. List the prime factors of r.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2368356 is divided by 789447?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2271606 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a + 34. Determine q(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 43. Let x = t - -11.5. Which is the second biggest value? (a) 3 (b) 6 (c) x (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 4\/5, -2\/33, 17\/3?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -26?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0*z)**(1\/9)*z**(-6)\/z**(8\/9) assuming z is positive.\nAnswer: z**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135360 and 2632.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38173822 - -2?\nAnswer: -38173820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 7241*i**2 - 7241*i**2 - 541*i**3)*(2*i + 0*i - 4*i).\nAnswer: 1082*i**4 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4)*((-3808)\/252)\/(-34))\/((-34)\/3)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*n = 38, -4*y + 100 = n - 3*n. Let c be 2\/(-8) - -1*558\/y. Calculate the highest common divisor of 115 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23446?\nAnswer: 2, 19, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 0*s - 38*s**2 + 43*s**2 - 5*s + 2*s + 1. Let u(x) = -9*x**2 + 6*x - 2. What is 5*f(g) + 3*u(g)?\nAnswer: -2*g**2 + 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in -2.4, -2\/17, -3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001 (base 2) in base 5?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11.867 and -4.87564707?\nAnswer: 16.74264707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((108\/(-5))\/3)\/((-423)\/2115).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*h**3 + 32*h**3 - 157*h**3 + 46*h**3 + 33*h**3.\nAnswer: 23*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 4.9 (c) -2 (d) 7.2 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 75902 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/2 or -507308?\nAnswer: -507308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 96*d**2 + 3619*d - 747. Give q(-125).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 - (-10 - -17 - 12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 5*h - 2*h. Let b(q) = 7*q + 5 - 5. Let u(x) = 4*x**3 - x**2 - x + 5. Let d be u(0). Determine d*b(r) + 4*s(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 9*z - 4. Let d(y) = 6*y**2 + 161*y - 23. What is the smallest common multiple of d(-27) and t(6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12543123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 66 + 55 = h, -136 = -4*y + 5*h. Let i = y + -28. Find the first derivative of i*f**2 - 7 - 80*f + 80*f wrt f.\nAnswer: 22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 71*m**2 + 4*m + 4. Let c(z) = -z**2 + z + 1. Calculate -b(v) + 4*c(v).\nAnswer: -75*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3158 + -3146. Solve 1218*w + d = 1224*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 896675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 6:38 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4850, -4812, -4744, -4640, -4494, -4300, -4052, -3744?\nAnswer: -3370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 330849 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575720 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**14*b**(-9))\/(b**11*b**(-4\/3)\/b) assuming b is positive.\nAnswer: b**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 720000 = 2*y, 5*t - 172699 = -5*y - 1072699. What is t rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 421b - 2686?\nAnswer: 1b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w + 8 - 5 - w**2 - 4 + 2*w. Calculate y(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/180 - 152168\/(-6624) - -15\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4324 (base 5) to base 3.\nAnswer: -210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 23*d + 35. Let z(o) = 15*o + 22. Let r(g) = 5*q(g) - 8*z(g). Determine r(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 138*o**4 - 9*o**3 + 95*o**2 + 32*o - 8. Let b(u) = -u**3 + u**2 - 16*u + 1. Let f(x) = -2*b(x) - t(x). What is the third derivative of f(v) wrt v?\nAnswer: -3312*v + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79282.\nAnswer: 2, 7, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -682*-0.47873.\nAnswer: 326.49386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 2 = -2*l, -136*l + 85*l + 4*h = -161 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69923 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7049*k = 7693*k - 1651104 for k.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35434 is divided by 279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*n - 129, n + 4*d - 3*d - 67 = 0. What is the remainder when n is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70618 and 670.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -6*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1621748 by 4.\nAnswer: 405437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6741*q**2 + 273*q**5 + 6741*q**2)*(6 + 1 - 4)*(-2 - 1 + 4).\nAnswer: 819*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g + 2*g**3 + g**4 - 17*g + g**2 + 13*g = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222.5 - 0.1257\nAnswer: -222.6257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -4. Suppose 3*l = 43 + y. Solve -f = 4*f - l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.427 * -13.\nAnswer: -5.551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 8. Give q(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 14. Let q(x) = 14. Let m(s) = 3*n(s) - 4*q(s). Let z be m(-6). Factor 0*y**3 - 1\/3*y**z + 0*y - 1\/3 + 2\/3*y**2.\nAnswer: -(y - 1)**2*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*d + 4*d**3 - 3*d - 5*d**3)*(-4*d**2 + d**2 + d**2) - d**5 + d**5 + 3*d**5 + (3 - 3 + 2*d**2)*(2*d**3 + 2*d**3 - d**3) + 43*d**2 + 2*d**5 - 43*d**2.\nAnswer: 13*d**5 + 60*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161809 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + 4*f + 3*f)*(120 - 28 - 66) - 19 - 7*f + 19 to the form c*f + j and give c.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 10*i**2 + 2. Let o be t(10). Let d = -9 + 14. Suppose -d*x = -3*f + 19, 3*x + f + 3 = -0. Put 0, o, x in ascending order.\nAnswer: x, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**2\/f)\/f)\/(f**(-4\/7)*f)*(f\/f**(-2\/9))\/f*f**(2\/9))\/((f*f**(-1)\/f)**(-29)*(f*f*f*(f*f**(-2\/7))\/f)**(7\/4)) assuming f is positive.\nAnswer: f**(-8501\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -164 - -163.999795. What is z rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 221\/5 + -49. Let a = -4 - p. Let o be (-12)\/12 + (-4)\/(-6). What is the closest to o in -3, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 524744 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.37 in -5, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 7*m**2 + 9*m - 10. Let n be j(-5). Let k = 1 - 1.1. Let p = 0.1 - k. What is the nearest to -1\/3 in n, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/11, -2, -5, 2\/13, 0.22, 24, -2.06?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 6\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:33 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(-4*sqrt(5)) + sqrt(5) + (-2 + sqrt(5))**2 + -1 + sqrt(45)*1*2*-5.\nAnswer: -133*sqrt(5)\/4 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.71418 less than -244772?\nAnswer: -244816.71418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1792\/(-5760)*207*(-40)\/28?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - m - 2 + 4 = 0, -5*m = 5*h + 10. Put h, -5, -1 in descending order.\nAnswer: -1, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165662997 divided by -55220999.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 18. List the prime factors of 18*(p\/12)\/(4\/(-8)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 2:49 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*d + 29 - 149 = 110*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 5229 = 22*f. Calculate the greatest common factor of 83 and f.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 54a21 - 339?\nAnswer: 54693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 105379.6.\nAnswer: -10537.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18665 and 6145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and 0.4.\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 41387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - 37. Let y(x) = 5*x**3 + 0*x**3 - 7*x**2 + 8*x - 7 - 4*x**3. Let n be y(6). Solve -l = -n*o + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4671 + 2.2671. Sort 2\/23, -3, 0.02, 3, r.\nAnswer: -3, r, 0.02, 2\/23, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-6)\/(-1))*1*(-36)\/(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.074 - -94.074. Let d = -139 + r. Let a = 56.3 + d. What is a rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 27*t + 3*t**2 - 27*t. Let g(k) = -k**2. Calculate u(g(i)).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (5 + 17 + -12 - 10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 85 = -5*y, -105*u - 2*y = -111*u + 44 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 5. Let q be y(7). Let b be 1\/(-3) + q + -3. Let n = 59\/2 + -29. Which is smaller: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*x, 3*x + 4 - 3 = -5*n. Let k = -132599\/222 + 1792\/3. Which is smaller: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3596*y**3 + 3*y**2 - 1566*y wrt y.\nAnswer: 21576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 85246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqbb when four letters picked without replacement from bqbbbbqqbb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1159, 1156, 1155, 1156?\nAnswer: 1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4092095 divided by -301?\nAnswer: -13595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -0*w - 4*w. Suppose -1\/4*v**2 - 1\/4*v**3 + w*v + 0 = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000227033 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -4*i**7\/105 - i**6\/60 - 17*i**5\/10 - 18*i**2 + 3*i. What is the third derivative of u(o) wrt o?\nAnswer: -192*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137538.83 - 49\nAnswer: -137587.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -51078 minus 1?\nAnswer: -51079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -19*p**5\/4 - 7*p**4\/12 - 7067*p**2\/2 - 157*p - 11. Find the first derivative of c(u) wrt u.\nAnswer: -285*u**2 - 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 16*m**2 + 10286*m - 134065. Determine b(13).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105523 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*x - 6*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 593 + -593. Suppose -2*o - 4*j = -f*o - 2352, 4*o + 3*j - 4684 = 0. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 13. Let f be t(-17). What are the prime factors of 45 + (8\/f - 1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*b - 832 = 43*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 77.76195t?\nAnswer: 77761950000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -766 divided by 164.\nAnswer: -383\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 455169?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23366*t - 23377*t = 231 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -90, 165 in ascending order.\nAnswer: -90, -34, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*w - 85*w - 27*w + 0*w - 10 + 40*w to x*w + p and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21533 and 212506.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(1 + 66\/(-12)). Let k(c) = -c + 23. Let i be k(18). Solve -4*b = -5*q + x, -q - 10 = -i*q - b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 987156766?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ab6d (base 14) in base 6?\nAnswer: 345245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 287 - 275. Let d(u) = 92 + g*u - 91 + 4*u. What is d(-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) 185 (b) 0.09 (c) 0.5 (d) 1\/3 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 2 - (3 - (8 + -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 times 14365?\nAnswer: -2298.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -781, -1305, -2679, -5323, -9657, -16101, -25075, -36999?\n\"Answer: -70*x**3 - 5*x**2 - 19*x - 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -767*l = -84*l - 11611 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 + 9 + -5 + -3. Let -4\/11*f - 2\/11*f**l + 0 - 6\/11*f**5 + 2\/11*f**4 + 10\/11*f**3 = 0. What is f?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + 7 + -7 + -3. Let d(x) = 764533*x**3 - 8*x**2 + x + 12. Let r be d(y). What is r rounded to the nearest one million?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/88*(-3 - 8) - 294\/18?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 12, v: 7}. Give prob of sequence vpvp.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 1033*s + 49150.\nAnswer: (s + 50)*(s + 983)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 5. Let q(s) = -2. Let g(y) = -5*q(y) - 2*r(y). Let n(a) = 2*a**2 + 1. Let j(z) = 35*z**2 + 14. Let h(v) = -j(v) + 14*n(v). Give h(g(x)).\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, l: 1, x: 9, a: 4, f: 2}. What is prob of picking 1 a, 1 f, and 1 o?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 35202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 779312033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 11:15 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 e when three letters picked without replacement from {l: 1, g: 2, s: 1, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6219300 and 4680?\nAnswer: 485105400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*y - 1324*y - 35200 = 0 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-36)\/(-4 + 8). Suppose 0 = 2*n - c, -5*d = -4*n + 8*n - 42. What is the third derivative of 9*k**2 + 3*k**6 + 9*k**6 - 6*k**6 + 3*k**d wrt k?\nAnswer: 1080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a = 6*a. Let x be -2*(0 - (-1)\/2). Put a, x, 1 in decreasing order.\nAnswer: 1, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1283 + 1097 = -140*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*z + 31, -5*z - 112 = 4*w - 51. Let f(n) = 8 - 10*n**2 - 6*n + 4*n - n**3 - 7*n. What is f(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 4)**2*6.\nAnswer: 432*sqrt(2) + 1068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/17 (b) 6\/5 (c) 3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20312 + -4?\nAnswer: -20316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 1:02 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*f**3 + 436*f**2 - 3136*f - 17664.\nAnswer: (f - 8)*(f + 4)*(29*f + 552)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -305*v + 408*v - 476*v to a + j*v and give j.\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 28*g + 181. Give q(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.125355 - 0.225355. Let p be ((-19)\/(-9) - 2)\/(-3). Which is the second smallest value? (a) -1\/2 (b) o (c) 0.08 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184829921 a multiple of 613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*20.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 10) to base 12\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -109757 greater than -109757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133 + 133.0137. Round i to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-8))\/((-1)\/(-2)). Let n be (4\/12)\/(u\/27). Solve 0 = 4*k + 4*h - 32, 4*k - h + 8 = n*h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.3*-1904168.\nAnswer: 38654610.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (sqrt(100)*-3)\/sqrt(2)).\nAnswer: -8 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 758844667 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72797.62km to meters.\nAnswer: 72797620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-3038)*(-445410)\/18180.\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 8735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 880\/(-240) + (-284)\/(-84). Which is the nearest to 4? (a) 0 (b) 0.8 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 750984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*f**4\/3 + 36143*f**3\/3 + 3442*f**2.\nAnswer: f**2*(f + 5163)*(7*f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 127 + 15\/((-15)\/8). Let d be (-10)\/(-25) - 28\/(-5). Suppose d*z - i = -5*w + 2*z, -151 = -5*w + 4*z. Calculate the remainder when 161 is divided by w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*f - 5*m, -2*f - m + 11 = 3. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 + q**2 + 2095*q**3 - 331*q**3 + 1244*q**3.\nAnswer: 3008*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2 + 2)*(15*f**2 + 28*f**2 - 10*f**2) + 0*f**3 - 3*f**3 + 4*f**3.\nAnswer: 34*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2932052 and 1912?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 31 = 5*p, 5*j = 3*p - 26 - 3. Suppose -r + 3 = -2*x - 1, p*x = 9. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -3 + 9 + -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89*f**4*p - 2*f*p + 5*f + 2*p wrt f?\nAnswer: -1068*f**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + m - 21. Let v(b) = -188*b**2 - 1245. Let a(u) = 2*j(u) - v(u). Differentiate a(n) wrt n.\nAnswer: 380*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -5. Let c be 10\/v*54\/(-4). What is the remainder when 51 is divided by (-2)\/c - (-224)\/36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153953 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*c = -2*x - 14, 10 = 2*c. Let p = 8 + -8. Suppose x*i + 2*t - 14 = 0, p = -0*i + 2*i + 4*t - 8. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 4:11 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6985 = -3*v + 205. What is v rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(200) + 1)**2)*-3.\nAnswer: -615 - 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87211887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72393 is divided by 8015?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -80. Let t = o - 80.00175. Round t to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 22 + (0 - -2) + 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*1*(-450)\/200?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 83 + 112e?\nAnswer: 11b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 17 = -2. Let h(n) = 2*n**3 - 5*n**2 - 3*n + 4. Let u(q) = q**3 + q**2 - q. Let a(j) = v*u(j) + h(j). List the prime factors of a(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 910*u**2 - 111*u - 259. Let c(v) = -909*v**2 + 150*v + 260. Let b(g) = -3*c(g) - 4*d(g). Differentiate b(a) wrt a.\nAnswer: -1826*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -134 - 147 + 423 - 133 + 391*i**2 in the form h*i**2 + s + t*i and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 85*m**3 + 8*m**2 - 9*m - 7. Is 13 a factor of o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -30, 17, -3, 4, 3 in increasing order.\nAnswer: -30, -3, 3, 4, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3097979*d**2*z**3 - 118535*d**2*z**2 + 9*d*z**2 wrt z?\nAnswer: 18587874*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*g + 1 - 13, 0 = j + 5*g + 6. Calculate the remainder when j is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10851 + 10*t**2 - 10844 - 7*t**2 - 11*t + (t + 4*t - 3*t)*(-t - 3 + 3) + 4*t**2 - 3*t**2 + 0*t**2.\nAnswer: 2*t**2 - 11*t + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1161206941.\nAnswer: 89, 1091, 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101208497.\nAnswer: 13, 17, 19, 24103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, -14, -47, -98, -167, -254, -359?\n\"Answer: -9*w**2 + 12*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**3 + z**3 - 8*z**3 + z**4 - 1 + 9*z**3. Find the third derivative of v(g) wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -9*l + 326. Calculate the remainder when 66 is divided by l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193086350, 193086348, 193086346?\nAnswer: 193086344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2615000 rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 7*t**2 + 10. Let d be u(7). Suppose 28 = 2*y + d. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1)\/t)**(-20)*t**(-8\/5)\/t**(-5) assuming t is positive.\nAnswer: t**(117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 12*t + 13*t - 14*t - 40 - 34*t + 12*t. What is f(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*j + 40 = 0. Calculate the remainder when 31 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5561667*s + 1 - 1 - 5561666*s - 31*s**2.\nAnswer: -31*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*m**4 + 15*m**3 - 387*m**2 wrt m?\nAnswer: -120*m + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1162*w + 433177. Calculate i(373).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j**2 - 56*j - 25. Let u be p(7). Solve -4*q - 3*r - u = 0, -5*r - 1 = -4*q + 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*b - 5, -4*z - 5*b + 50 = 5. Let i(t) = -t + 0*t + z*t - t. Let y(d) be the first derivative of -d**2 - 1. What is y(i(g))?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/15)\/(o*o\/(o*o**(-2)\/o)))**(-1\/15) assuming o is positive.\nAnswer: o**(62\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from rvajm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 132 + -78. Suppose -360 - a = -3*o. What is the remainder when o is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.0067045 rounded to two decimal places?\nAnswer: 6.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*q - 5*x, 0*x = 4*q - 3*x - 15. Suppose -q = -2*n + n. Is n\/42 - (-320)\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-15) + 53\/(-5))*-1. Suppose -r*t + 11 = -33. Solve f + 7 - t = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 9*c - 9. Let s be w(-7). Suppose 0 = -s*d - 3*y + 457, 2*d - 95 = 2*y + 75. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10606 is divided by 3884?\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*t - 16. Let s = -5 + 15. Suppose -w + s = 4*w. Solve -6*i - w = -t*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -3\/5 (c) -0.24 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6720)\/(-6125))\/24*(-10)\/(-8).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**2 + 38*q + 14. Let l(t) = 13*t**2 - 120*t - 42. Let p(m) = -2*l(m) - 7*w(m). Let f = 46 - 31. Is p(f) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by -196.\nAnswer: 25\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -8424068.\nAnswer: -8424067.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 931 less than or equal to 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 take away 1090773736390?\nAnswer: -1090773736307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 2. Put 1, 5, w in descending order.\nAnswer: 5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 3 - (-5 + -2) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -2, 2, 5 in increasing order.\nAnswer: -7, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 47895 divided by -576\nAnswer: -15965\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 0*l - 2*l)*(-l + 4*l - l) + 3*l**2 - 5*l**2 + 3*l**2 - 65*l**2 + 5*l**2 + 2*l**2 + 2*l - l + 2*l**2 - 3*l**2 as r*l + s + t*l**2 and give t.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**5\/3 - 166*u**4\/3 + 364*u**3\/3 + 2068*u**2\/3 + 2390*u\/3 + 850\/3 = 0. What is u?\nAnswer: -85, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/13 or -1750907?\nAnswer: -1750907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -222, -446, -670, -894?\n\"Answer: -224*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*b = l + 13, 3*b - 15 = 3*l. Let g(m) = -3*m + 1 + 5*m - 3*m. Determine g(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-11))\/((-96)\/(-24))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 297948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4939*n = -4942*n - 2*r + 25, -3*n = -8*r - 5 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12011 (base 3) in base 9?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + u**2 - 10*u**2 + 2*u**2 + u**3 + 3*u to q + j*u**2 + w*u + d*u**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**4\/4 + 2*h. Let k(q) = 2*q**2. What is k(j(v))?\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, -10, -23, -52, -103, -182, -295?\n\"Answer: -b**3 + b**2 + b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.08 and -164827.\nAnswer: -164827.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 632496 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, u: 7}. Give prob of sequence uxx.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21*-16*((-2)\/8)\/1 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/5 + 4\/(-10). Let p(o) = 5*o**2 - 15*o + 6. Let q(m) = -3*m**2 + 10*m - 4. Let c(a) = 5*p(a) + 8*q(a). Determine c(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {l: 4, t: 3, b: 1, m: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -k + 6, -k + 2*k + x + 6 = 0. Let l = k + 5. Solve -4 = -l*z + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 0 + 0*k + 1\/3*k**3 - k**2 - 1\/30*k**5 - 1\/60*k**6 + 1\/12*k**4. Factor w(a).\nAnswer: -2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**4\/6 - p**3\/2 + 25*p**2\/2 - 99*p. What is the first derivative of s(t) wrt t?\nAnswer: 4*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v - 202*v = 66*v + 506 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 5, -12*x + 64 = -k + 29 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7*w - 3. Let d be y(-4). Let i = 266608 + -266605. What is the closest to 0 in i, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**5 + d**5 + 0*d**5)*(-5 + 5 + 1)*(11 + 5 - 9).\nAnswer: -14*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 485 - 147 = 2*i. Let x = 40 + i. Calculate the greatest common divisor of 19 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**2 + 1138*z - 3271*z**3 - 1204*z + 5446*z wrt z.\nAnswer: -19626*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 37\/6*y**3 - 35*y**2 + 0*y**5 + 13\/70*y**7 + 0*y + 0 + 0*y**6 + 0*y**4. What is the derivative of i(q) wrt q?\nAnswer: 156*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 11:46 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194685.\nAnswer: 3, 5, 12979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 - 2*i**2 + 1. Suppose 0 = -15*a + 6*a - 18. Calculate t(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b + 5. Let u(h) = 5*h - 7. Let o(d) = 7*n(d) + 5*u(d). Let y(p) = 22*p - 12. Let v(c) = 9*c - 5. Let k(a) = -12*v(a) + 5*y(a). Give o(k(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -6832.\nAnswer: 11\/3416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*y - 41*y**3 + 30*y**3 + 36*y - 88*y as d*y + s*y**2 + r*y**3 + w and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427026843?\nAnswer: 3, 19, 832411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.8465 kilometers to meters.\nAnswer: 67846.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 41. Let u be l(-18). Suppose -u = -7*a + 5. Calculate the smallest common multiple of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-383 - 44*g + 383)*((-5*g + 3*g + 0*g)*(2*g**2 + g**2 + 0*g**2) - 16*g**3 + 11*g - 11*g) to l*g**4 + y*g**3 + w + r*g + k*g**2 and give l.\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 = -3*d - 309, -21950 = -3*u + 4*d. Is u a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k = -494*k - 14950 + 48646 for k.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 9:05 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 1 + 17. Let y be 4 + (-1 - -3 - m). Let -1\/3*b**y + 0 + 0*b + 1\/3*b**3 = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(162))**2 + -3 - (-3 + sqrt(162)*2) - (5 + (sqrt(162) + 0)*6).\nAnswer: -54*sqrt(2) + 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -152*s + 645 wrt s.\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43211 - -152235?\nAnswer: 105024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/110390 and 113\/2790.\nAnswer: 30798810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6313, -12616, -18919, -25222?\nAnswer: -31525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 5*n**2 - 3*n**2)*(22*n**3 + 13*n - 5*n - 11*n).\nAnswer: 44*n**5 - 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -66, -10, 46, 102, 158?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + -40 - (-7 - ((20 - 9) + -4)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 5*t + 15, -5*d + 0*d = -4*t - 12. Suppose d = -0*a + 2*a + n, a = 2*n. Suppose a = -2*i - 2 - 0. Is i at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194 + 2*n**3 - 10*n**3 - 194.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 20 = -5*p, 89*u = -5*p + 87*u + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a + 2 = -22*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -12) + 9 + (-5 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*y**5 + 0*y + 0*y + 5*y**5 + 2*y**5 + y**3 - y**3 + (-2 + 2 + y**2)*(0*y**2 + 0*y**2 + y**3).\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*m + 3*u = -73*m + 15, 4*u - 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*u = -286, 4*p = -5*u - 107 - 115. Let r = p - -24. Let m be -2 + 5 + r\/12. Is m not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) -3 (c) 0.3 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0048885 to 4 decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b. Let p(y) = -11*y + 3. Let n(d) = -6*m(d) - p(d). Determine n(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 62, 64, 66, 68, 70?\n\"Answer: 2*h + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*f = 136 + 140. Put -3, 16, f in ascending order.\nAnswer: -3, f, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -355 - -364. Suppose -f*s - 3*s = -1008. Is s a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 10*p = -25, 3*m - 4*p - 44 = 0. Suppose 2*f = -m*f. Let n be (-3)\/(-2) + 1\/2. Solve f = h + n + 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1112950*r - 738244.\nAnswer: 1112950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4284 and 6.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15706*i - 16104*i + 36616 for i.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 - 7*a + a**2 + 7 - a**2 + 5*a**2. Let o(g) = -15*g**3 - 3 + 0 + 16*g**3 - 2*g**2 - 4*g + 7*g. Determine 6*b(n) + 14*o(n).\nAnswer: 2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/6 (b) 1387 (c) 0.014 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l. Let s(i) = 9*i. Calculate -2*s(r) - 66*t(r).\nAnswer: -150*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (12*15\/540)\/(3\/21)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 260\/22 + 12\/66?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22570 = 35*a - 7053 - 687. Calculate the highest common factor of 6 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/13 - 150*r\/13 + 500\/13.\nAnswer: 2*(r - 5)**2*(r + 10)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 = -0*z - y, -4*z + 12 = 5*y. Is -11\/5 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1306 - 16968\/13. Let s = -9416\/12207 + k. Is 0 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/36 and 21\/43424.\nAnswer: 390816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-29)\/((-1508)\/96). What is the smallest value in -0.3, -1\/3, 4\/7, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2, 13, 48087?\nAnswer: 48087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-19 + 23 - (-6 + 0))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 463699?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2*c**4 - 2 - 2*c - 3 + 0*c to the form z*c + h*c**3 + q*c**2 + o + d*c**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**3 - 3*g**3 - g**3 + (0 - 3 + 4)*(3*g**3 + g**3 + 0*g**3).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 - (-7 + -6 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1708020 divided by 2\nAnswer: -854010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30571077 is divided by 8952?\nAnswer: 8949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.398596 years in months?\nAnswer: 100.783152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from sgooogsgoog?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -21. Let j = q + 18.056. Round j to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 104 = 8*w. Calculate the smallest common multiple of 4\/(-6) - (-62)\/3 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -2859?\nAnswer: 2859.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1873 + -841. Is s a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9886870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 220 = 5*p, -5*q - 3*p = -248 + 10. What is the remainder when 147 is divided by q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000667479 to five decimal places.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8426426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 863712 to the power of 1\/2, to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21, 0.4, 0.1, 2, 3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-64))\/(72\/64)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (-446 - 10)\/8. Calculate the highest common divisor of 969 and d.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + -1 + sqrt(1088) + -5)**2 + 3.\nAnswer: -2175 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 38*h + 26 + 10*h + h**3 + 12*h + 14*h to c + i*h + r*h**2 + x*h**3 and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l = -3*n - 6, 3*l - 21 = -4*n. Suppose n*u - 2*u = 2. What is the third derivative of o**2 + 6*o**2 - 3*o**4 - o**u - 3*o**2 wrt o?\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 6:44 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6131 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3690 - 3283 + 3044)*(-2*a**2 + 5*a - 5*a) as m*a**2 + x*a + b and give m.\nAnswer: 7858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + sqrt(243) + sqrt(243) + sqrt(243).\nAnswer: -9 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 325560424?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*j + 6, j + 47 = -4*y. Let b be (-42)\/104 - 2\/y. Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*l - 2*g - 68, -2*g - 20 = -l. Let h = -7 + l. Find the third derivative of -6*d**h - 2*d**5 + 2*d**5 - 4*d**2 + 3*d**5 wrt d.\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916\/695 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avoo when four letters picked without replacement from vovpvap?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**2 + 905*u + 3540 = 0. What is u?\nAnswer: -177, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 546*c**3 + 14*c**2 - 63*c + 31. List the prime factors of l(5).\nAnswer: 2, 3, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*l = -8, -8 = 61*x - 59*x + 5*l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.8. Let h be 147\/(-238) - (-3)\/6. Let w = 11\/51 - h. Sort 2, w, y, -2\/21 in descending order.\nAnswer: 2, w, -2\/21, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 463*x**2 + 468*x**2 + 4319*x - 1357*x**2 + 493*x**2 wrt x.\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1231*g + 3*g**2 - 1231*g. Suppose 2*o = -3*o - 25. Let l(y) = -8*y - 5. Let t(d) = -7*d - 4. Let a(c) = o*t(c) + 4*l(c). Calculate a(f(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f**2 - 541*f + 3780. Give k(70).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m - 2*m)*(0 - 1 - 1)*(-1 + 1 + 1)*(91 - 288 - 92).\nAnswer: 578*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 6*c + 6*c + 4 + 0 + 12. Let o be z(14). What is the lowest common multiple of (-1)\/(-3)*o\/(-2) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 99, 412, 939, 1686, 2659, 3864, 5307, 6994?\n\"Answer: w**3 + 101*w**2 + 3*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 8. Let m be d(-4). Let j be 0 - (-2 - (-1212)\/m). Suppose -3*y + 8*y - j = 0. List the prime factors of y.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -12*r. Let h(g) = -24*g - 1. Let k(d) = 2*d**2 - 14*d - 125. Let i be k(12). Give i*o(c) + 2*h(c).\nAnswer: 12*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -392 - -442. Solve 5*u - g = -5*t, 3*t - 5*t - 3*u = -25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 2*w**2 - 2*w + 10. Let s be l(3). Let d = 0.5 - 0. Which is the second biggest value? (a) s (b) d (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21680 + -21679.2. Which is the nearest to -1? (a) -1 (b) q (c) 0.1 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 9:48 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, f: 2, r: 2, z: 4, c: 3}. Give prob of picking 1 q, 2 f, and 1 c.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236223.\nAnswer: 3, 13, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61980211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - 10*m - 76*m**2 + 42*m**2 + 19*m**2 + 19*m**2.\nAnswer: 4*m**2 - 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 + (-11376)\/(-54). Let v = k - 195. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-8 + 0 - -10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 10475898\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 35825862?\nAnswer: 35825862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 8, -5*c + 24*h - 26*h - 8 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + -62?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t = 8. What is the smallest common multiple of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3426977 grams in milligrams?\nAnswer: 342.6977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33545769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 0*y - 2*y)*(-48 - 4 + 3 - 4*y) to x*y + j + q*y**2 and give x.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4010926050?\nAnswer: 2, 3, 5, 43, 53, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194381 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/((28\/(-12) + 2)*-2). Solve -r = 4*j - 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 688897.\nAnswer: 688897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 6*r**2 + 10*r + 1. Let j be h(7). Suppose -j = 6*p - 892. What are the prime factors of p?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74928)\/124880*90\/2?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/11 + 53728*c\/11 - 214944\/11 = 0. Calculate c.\nAnswer: -26868, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*p**2*w**2 + 26*d**3*p*w - 5*d*w - 2*p**2*w**2 + 7*p**2*w wrt d.\nAnswer: -6*d*p**2*w**2 + 156*d*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -1, 4 in increasing order.\nAnswer: -1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3449\/6 + -1723\/3. Let a be ((-1)\/10)\/(2\/(-35)). Factor -a*s - i - 5\/4*s**2.\nAnswer: -(s + 1)*(5*s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*x - 20. Suppose 0 = 20*b - 16*b + r - x, 3*b + 4*r - 28 = 0. Solve -4*d + 6*i = 3*i + 9, 0 = 2*d + b*i - 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - ((-2 - 4) + 2). Suppose 20 = c*d + d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -900, 1, -1.\nAnswer: -900, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r\/(r\/r**(-10))))**(-27) assuming r is positive.\nAnswer: r**(-243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -33. Solve n*r + 2*r = 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - p**2 + 8*p + 6. Let x be r(-3). Solve -2*q + 3*q + 2 = x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y + 3*y - 24*y**3 + 27*y**3 - y - y**2 - 2 to p + j*y + c*y**2 + i*y**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*b + 16, 47 = -3*b - 4*p + 31. Which is smaller: b or 13\/29?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.4 + -3.8. Is d at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4 = -k. Let j be 2*(0 + (-1)\/k). Let p = -4236 + 4233. Is j > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-193)\/(-2895))\/(5\/3075).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 + 27*u + 19. Calculate o(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 - -378\/5. Suppose 0 = -8*l + 7*l - 8. Which is the nearest to y? (a) 2\/9 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -30*h**2 + 75*h + 11. Let v(y) = -13*y**2 + 38*y + 1. What is 2*b(r) - 5*v(r)?\nAnswer: 5*r**2 - 40*r + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 12*r**2 + 16*r - 95. Let p be d(5). Suppose 0 = -5*a + 5*s + p, 4*s + 16 = 8. Calculate the remainder when a is divided by 39.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppjbpbp. Give prob of picking 1 j and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 7) + -849 + 799.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/1021 - -52091\/10210. Find the common denominator of d and -71\/86.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.519 in -0.1, 0, 0.22, 4, -0.5?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 6 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-6)\/3) - -2. Does 25 divide -6*g\/2 - -53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127279?\nAnswer: 17, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8*y - 30 = 0. Let c(b) = b**3 - 5*b**2 + 3*b - 3. Let n be c(y). Calculate the greatest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2965614.\nAnswer: 2, 3, 494269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 4*r**2 + 3*r + 5. Suppose 0 = -8*o + 6*o + 42. Suppose -5*j - 3*m - 2 = -3*j, -j + o = -4*m. Determine t(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 - -70. Suppose -j + 2 = -0*j. Let u(b) = x - 2 + 1 + b**j. Let d(g) = -5*g. What is d(u(y))?\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 69, 1336.\nAnswer: 7, 69, 1336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*y - 320 = 571 + 399 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 5*q = -7, 165*i - 14 = 167*i - 2*q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98810329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8482283 millennia in centuries?\nAnswer: 8.482283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1070*h**2 - 638*h**2 - 2*h**3 - 1354*h**2 to the form w*h**3 + z + d*h + m*h**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 286822 times -115?\nAnswer: -32984530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 304.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 5)*(33*p**2 - 5 + 0 + 3).\nAnswer: 165*p**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40190?\nAnswer: 2, 5, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by -89331.\nAnswer: 8\/8121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from gkgwtjjw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 15. Let j be -4 + 7 + 2 + (-88)\/2. Let k = -49 - j. Give g(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3 - 536946*h**2 - 24026991099*h - 96099373452 = 0. Calculate h.\nAnswer: -89489, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x = 45. What is the remainder when x is divided by ((-2)\/(-7))\/(34\/952)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 - -43. Let j = -44 - -44.02. What is the closest to j in -3\/2, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 367*k + 72716. Determine j(-198).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -173, -176, -179, -182?\n\"Answer: -3*i - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.158 + -1.2.\nAnswer: 0.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + ((3*sqrt(425) - sqrt(425)) + sqrt(425) - sqrt(425)) + -3)*6 + 1 + 4*sqrt(425) + -2)**2.\nAnswer: -4180*sqrt(17) + 206061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 85?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -78. Let p = 0.0443 + 43.1757. Let u = g - p. What is u rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 345 - 343. Which is the nearest to -2\/7? (a) p (b) 6 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 34*t**2. Let f(k) = -9*k + 2. Let p(g) = 200*g - 45. Let c(o) = 45*f(o) + 2*p(o). Calculate j(c(w)).\nAnswer: 850*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-34)\/(-1) + 12\/(4 - -2). What is the greatest common divisor of f and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 14*a = 15*a - 14032, -3*k + a = -8424. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j**2 - 20*j + 22. Let b be p(8). Let o be (4\/(-22) + 255\/b)\/2. What is the nearest to o in 3, 2, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -1, -300, 1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/63)\/(77\/(-63)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1064024 (base 7) in base 12?\nAnswer: -65285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - -444?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2871 and 7920?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 79*r**7\/21 - 23*r**4\/12 - r**3\/6 + 331*r. Find the third derivative of s(p) wrt p.\nAnswer: 9480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 12, 0 = 16*z - 21*z + l + 17. Solve 4*o = -5*a - 5, -4 = -2*o + 3*o + z*a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 3*i**2 + 19. Let w(x) = -3*x**3 - 11*x**2 + 76. Give -22*l(s) + 6*w(s).\nAnswer: 4*s**3 + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w. Let s(c) = 15 - 6 + 0 + c**2 - 7 - 1. What is i(s(v))?\nAnswer: -3*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000335731401 to 5 decimal places.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b - 4*b + b)*(-47 + 47 - 2*b) - 2*b + 2*b + 5*b**2 in the form j + t*b**2 + g*b and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91317435.\nAnswer: 3, 5, 11, 553439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 35 + 55 = 0. Let h be 2\/v + 336\/180. Suppose 9*u - 154 = h*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 5*d + 3380. Give b(65).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(630)\/(sqrt(20)\/sqrt(2)))\/(sqrt(9) + sqrt(108)\/(sqrt(192) - sqrt(12))).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*g = -130 - 318 - 120 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**3 + 16*t**2 + 326*t.\nAnswer: 12*t + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (456\/36)\/(1\/3). Suppose 2*c - 5 = 89. Differentiate -12*u**2 + p*u**2 - 40 + c with respect to u.\nAnswer: 52*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - (17 + 3)) + (-2 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 305, 308, 313, 320, 329, 340, 353?\n\"Answer: m**2 + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.07 + -54.07. Let m = -206 - r. Let c = -152.893 - m. Round c to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/((-3)\/198). Let a = s - 5. Let m = a - 11. Calculate the remainder when 10 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(-1)*s)\/s))**(-2\/57)*(s\/(s\/((s*(s*s*s**(2\/5)*s)\/s)\/s))*s)**22*(s**(2\/3))**29\/(s**1\/s*s)**(-6) assuming s is positive.\nAnswer: s**(9506\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/7, 1, -0.5, 0.015 in decreasing order.\nAnswer: 1, 0.5, 2\/7, 0.015, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/378*-2*7\/(-35)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**7\/350 - 11*y**6\/300 - 13*y**5\/75 + 17*y**4\/5 + 48*y**3\/5 - 642*y**2. Determine n, given that o(n) = 0.\nAnswer: -4, -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 37 (b) -4 (c) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28891 and 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5510 - 7856*a**3 - 11028 + 5518.\nAnswer: -7856*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 32 - 393 = 5*i, -5*i + 4*c = 429. Let x = i - -201. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 386 + -265. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7*-2 - 1561\/(-30328)*-136\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 + 18*x**3 + x**3 + 0*x**3 + 6*x**3.\nAnswer: 21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -788, -5951, -19748, -46427, -90236, -155423?\nAnswer: -246236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -330 divided by -2\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77073 - -141273. Round g to the nearest 1000.\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1732292 + 1732295. Factor 0*l**2 + 0 - 5\/2*l**d + 10\/3*l + 5\/6*l**4.\nAnswer: 5*l*(l - 2)**2*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.1 - -8.1. Let a = 1.5 + 0.5. Sort q, a, -3 in descending order.\nAnswer: q, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 439 by 26.\nAnswer: 439\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((7\/32)\/7)\/(((-31)\/124)\/((-6)\/(-36)))\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 1020435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1637 in 1\/5, 0.001, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*o - 0*j + 4, 4*j - 16 = 0. Let g = -909\/2 + 1857\/4. Find the common denominator of (-6)\/o*287\/(-21) and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4555 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 10 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -126676.\nAnswer: -380028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + -3)**2 + 3)*4.\nAnswer: -96*sqrt(7) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 3*y**2 - 10*y + 1. Let n be w(8). Let j = n + -120. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 160465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1326341.466 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140 + 1750. Is 35 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from iaauqaukaaiiiuau?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 8, -1, 66, 9 in decreasing order.\nAnswer: 66, 9, 8, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 57*8\/(-84)*-35. What is the highest common divisor of t and 285?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1043 >= -1043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 9*v - 11. Let r be u(-8). Put 3, 1, r, 0 in descending order.\nAnswer: 3, 1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003608 rounded to 7 dps?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491 = 14*i - 449 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142 + -521341?\nAnswer: -521155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**3 - 3*y**2 - 4*y - 2. Let x be c(-2). Let t(n) = 2*n + 26. Let v be t(0). Is v at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**3 + 8*l**2 + 8*l. Let k(h) = 6*h**3 - 14*h**2 - 14*h + 1. Calculate 4*k(j) + 7*o(j).\nAnswer: 3*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcad when four letters picked without replacement from {d: 1, c: 6, a: 8, r: 1}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 12. What is the greatest common factor of r and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -737 by -5.\nAnswer: 737\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -1895*q**4\/4 - 117*q - 1414. Differentiate f(t) wrt t.\nAnswer: -5685*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (11\/(-4))\/((-27)\/(-30)) and 8\/(-18) + (23 - (-76846)\/(-3339))?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*z + 23*z - 58*z - 20*z**2 + 4*z**2.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.08 not equal to -29237783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 6:24 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 1530.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/1924 and -43\/20976.\nAnswer: 10089456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**4\/12 + 5*b**3\/6 + 11*b**2\/2 + 18. Let p(y) be the second derivative of o(y). Give p(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 396016.9 weeks?\nAnswer: 2772118.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1139017 and 0.325.\nAnswer: -1139016.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 - 3*y + 11. Determine r(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, r: 1, v: 2, c: 1}. Give prob of sequence vrrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, v: 4, x: 6}. What is prob of picking 2 x?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -11056?\nAnswer: -11060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 55 + 20. Let t be (3 - m\/(-3)) + (-2868)\/(-18). What are the prime factors of (t\/6)\/(8\/60)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -6*((sqrt(99) + (sqrt(99) + sqrt(99)*-2)*1)\/(1*sqrt(36)\/sqrt(4)) + -1)**2)*3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from urrruhurxxxxxxxhxxu?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -0.1 (b) -4 (c) 1 (d) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**3 - b**2 + 1. Give p(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576732125?\nAnswer: 5, 43, 61, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + 3 - 2 + 0*b**4 - 4*b**2 - b**4 as i*b**4 + r*b + g*b**3 + f + d*b**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m + 22 - 12*m - 24. What is d(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1347.651g to kilograms.\nAnswer: 1.347651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2851 - 3*f - 367 + 511 to h + z*f and give h.\nAnswer: 2995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - w + 5. Let s be (-1)\/(((-3)\/7)\/3). Let p be -6 + (-7)\/(s\/(-2)). Calculate r(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 14 = 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29464869 rounded to the nearest ten thousand?\nAnswer: -29460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k**2 + 0*k - 3*k)*(k + 0 + 0)*(0*k**2 + 0*k**2 + k**2).\nAnswer: 2*k**5 - 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 264, 530, 796, 1062, 1328, 1594?\n\"Answer: 266*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g. Calculate the remainder when 17 is divided by l(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmv when three letters picked without replacement from {z: 1, v: 6, o: 5, m: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/45)\/(4\/10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -10. Let o(c) = c + 31 + 27 - c**q - 46. Determine o(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 27*l. Let w be c(-1). Let g = w - -64. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -47. Sort v, -1, -3 in descending order.\nAnswer: v, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by -91?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f + 36*f**2 + 102*f**2 - 18*f**2 - 2*f**3 + 8*f - 2*f to r + w*f + p*f**2 + a*f**3 and give p.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3233674346 and 9758.\nAnswer: 9758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 + 3*z + 4. Let i(f) = -8*f**2 + 8*f + 11. Let l(r) = 4*i(r) - 11*v(r). Let g be l(1). Suppose g = -b - 1 + 16. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*sqrt(85)*-1 + 6*sqrt(85)*2)\/(-5*sqrt(20)\/sqrt(4) + sqrt(60)\/(sqrt(84)\/sqrt(7))).\nAnswer: -75*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/461 and -52\/11?\nAnswer: 5071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77*t + 192*t - 74*t)*((2*t - t + 0*t)*(2*t**2 - 2*t**2 + t**3) + 2*t**4 - 3*t**4 + 2*t**4).\nAnswer: 82*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = 990\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43732 + 65904 - r + 48523.\nAnswer: -r + 70695","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 28 + 0*i**2 + 0*i - 1\/44*i**4 + 1\/11*i**3. Factor d(c).\nAnswer: -c**2*(c - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*14\/14)\/((-55)\/(-6204)*12)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 50*0.003\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/40))**38 assuming n is positive.\nAnswer: n**(57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by -4?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4\/4 - 4925*f**3\/2 + 8056275*f**2 - 17316954875*f\/2 - 1252086408125\/4 = 0.\nAnswer: -35, 3295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 39*b**2 - 86*b + 3. Let p(k) = -k**2 - 3. Let s(c) = n(c) + p(c). What is the second derivative of s(y) wrt y?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -980 or -10777\/11?\nAnswer: -10777\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11901073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -330*n**2 + 2*n + 2. Let d be b(-1). Let t be d\/(-21) - 14\/(-49). Find the first derivative of 5*h - t*h + 8*h + 0 + 12 wrt h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9))**(11\/8) assuming v is positive.\nAnswer: v**(-11\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106 - 78. Calculate the remainder when 31\/((-3255)\/1080)*14\/(-4) is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4460, 6131, 7778, 9401, 11000, 12575?\nAnswer: 14126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**12)**14 assuming l is positive.\nAnswer: l**182","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2, 1\/12, -0.5, 1.071?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, v: 5, p: 7}. What is prob of picking 1 v, 1 f, and 1 p?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2078\/159 - 467729\/35298. Let i = n + -3\/74. Let f = 15\/22 - 2\/11. Put f, -6\/11, 1\/4, i in ascending order.\nAnswer: -6\/11, i, 1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 + 11*a. Let d be c(-6). Calculate the highest common divisor of d and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, e: 7}. Give prob of picking 2 w and 2 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1776 - -2094. What is the highest common factor of t and 1537?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172238, -2, 4 in decreasing order.\nAnswer: 4, -2, -172238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11853 and 45231?\nAnswer: 178707681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 116 = -129. Let u = z - -33. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259848703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**2 + 2455*w - 134820 = 0. Calculate w.\nAnswer: 63, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12906 divided by -3\nAnswer: -4302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/l)\/((l*(l**8\/l)\/l*l*l)\/l)*(l*l**(-3))**16 assuming l is positive.\nAnswer: l**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1609 is divided by 796?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184629106 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3769, -3771, -3777, -3787?\nAnswer: -3801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2. Let o(i) be the third derivative of -i**6\/360 + i**4\/6 - 3*i**2. Let s(w) be the second derivative of o(w). What is x(s(h))?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -48*l**2. Let a(h) be the third derivative of 2*h**2 + 0*h - 1\/12*h**4 - 16 + 0*h**3. What is a(q(s))?\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 28. Calculate x(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 10766 = 1522. Let s = t + -49069\/8. Calculate the common denominator of 145\/6 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.234759 kilometers in centimeters?\nAnswer: 723475.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -139*i + 16. What is l(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/5)\/3*(-9)\/2. Let h(i) = i**2 + 11*i + 18. Let t be h(n). Suppose -7*v + 10*v - 816 = t. What is the greatest common factor of 34 and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 5*x - 2*x + (-1 - 23 + 8)*(-x + 4*x - 5*x))*(-4 + 1 + 6) in the form y*x + d and give y.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.229 and 113138?\nAnswer: 139046.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.031 and 1333.75807.\nAnswer: 1333.78907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**4\/12 - 2*w**3\/3 + 9*w**2. Give x(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 - 11*j**3 + 6*j**3 + (-j - 9*j + 3*j)*(0 + 0 + j**2) - 5*j**3 + 0*j**3 + 2*j**3 in the form r*j + k + t*j**2 + l*j**3 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 135075 < 135068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2323 - 2270 = -12*s - 47*s + 3829 for s.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*s*t**4 - 1882*s*t**3 - 7*s*t**2 - 77*s*t - 3*s + 1469*t**3 + 26*t**2 + 3*t - 2 wrt t?\nAnswer: -240*s*t - 11292*s + 8814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 119. Let b(l) = -648. Let w(a) = b(a) + 5*n(a). What is w(-4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.37 * -0.567.\nAnswer: 0.77679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 7. Let o be (-22)\/f + (-2)\/5. Let k = o - -1. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zm when two letters picked without replacement from mxxz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**2 - 31*t + 36. Let v be w(-12). Let z = 673\/4 + v. Suppose -4*o + 33 = 5*d, 5*o + 5*d - 32 - 3 = 0. Sort 3, 0.3, o, z in increasing order.\nAnswer: z, 0.3, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h = 20*h - 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4491 is divided by 178?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*p + 57*p = 6. Let s(f) = 5 + 2*f**2 - 2 - f**p. Suppose -x = -0*x - 3*x. Calculate s(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-3))\/(4\/16). Let s be 1\/q - 145\/20. Is (-11 - s)*(-1 - 2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.8. Let q be -3 + 2430\/12 - 3. Let c = q - 197. Put -0.3, c, p, -5 in ascending order.\nAnswer: -5, c, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.9, 1, 0.4, 0, 1\/4 in ascending order.\nAnswer: 0, 1\/4, 0.4, 1, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/2 of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 49527 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, -12, 0, 5 in descending order.\nAnswer: 5, 0, -12, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-6))\/(1\/(-4)). Suppose z*c - c = 0. Suppose 5*k - 20 = -c*k. Let a(d) = d**2 - 3*d - 4. What is a(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20767 less than -228427\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.0643 (b) 213 (c) 1\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2447000237?\nAnswer: 11, 197, 1129211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**(-1))\/o)\/o*o)**(-10)*o**(2\/3)*o\/(o*o*o**(-7)))\/((o**(-1)*o)**(-9))**(1\/3) assuming o is positive.\nAnswer: o**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122934 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**5 - 35*y**4 + 325*y**3 - 785*y**2 + 760*y - 260 = 0. What is y?\nAnswer: -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 2296*v**2 - 39686*v + 88540.\nAnswer: 2*(v - 1165)*(v - 2)*(v + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k - 7*k + 6)*(3*k**2 + 401 - 401 + 16*k).\nAnswer: -21*k**3 - 94*k**2 + 96*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**17*g\/(g**7*g)*g)\/(g**(-2\/7))**(-7) assuming g is positive.\nAnswer: g**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 + -0.8. Let g = t + 0.3. Let n = 0.9 - g. Which is the second biggest value? (a) 3\/7 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxvpdkl. Give prob of sequence pd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.573 and -688266210?\nAnswer: 688266209.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8329*s**3 - 4*s**2 + 4*s**2.\nAnswer: -8329*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (9 + -16 - -14 - -2) - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 39384 divided by -6\nAnswer: -6564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1525998.\nAnswer: 2, 3, 419, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4600*x = 4672*x + 2376 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: a8bb7 (base 12) to base 3\nAnswer: 102022202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r**2 + 0*r**2 - 4*r**2)*(-3 + r + 3)*((0 - 1 - 4)*(-3 + 5 - 1) - 324 + 168 + 130) to t*r**2 + h + l*r**3 + c*r and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 + 3*z**2 - 2. Let g(t) = 21*t**2 + t. Let x be g(-1). Suppose x*n + 6 = 23*n. Calculate d(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22118976449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*f - 53207 = -322*f - 841*f - 4400 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*r - 129, -w + r + 133 = 2*r. Suppose -2*a - p = -w, -p - 77 - 121 = -3*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l + 2. Let q(m) = 5*m + 3. Let j(f) = -2*q(f) + 3*u(f). Let x be (-64)\/8*1\/(-2). Let t(y) = 7*y - 4*y + x*y - 5*y. What is t(j(z))?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 - 512*k**3 - 19576*k**2 - 204288*k - 636804.\nAnswer: -4*(k + 7)**2*(k + 57)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9400\/(-12220))\/((-10)\/(-8))?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + a + 1. Let x(v) = -2*v + 2. What is -3*f(h) + x(h)?\nAnswer: -3*h**2 - 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11.25, -42, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83.162136 + -19.837728. Let p = s + 103. What is p rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p + 3. Let y(v) = -3*v - 5. Let r(n) = -2*y(n) - 5*z(n). Let q be 12*2\/(-1 - 3). Is r(q) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9004 (base 10) in base 7?\nAnswer: 35152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.92 - -3.92. Let s be -2 - (4\/2 - 1). What is the closest to 0.02 in x, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 0) + 26 + 1911\/(-52).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-3 - 5)) + 1. Let o = 10 - b. What is the units digit of ((-2 - o) + 3)*-7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + ((-10)\/(-5) - -49). Let b = w - 36. Let q(j) = j**3 - 12*j**2 + 3*j + 9. Is 15 a factor of q(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1666) - (1*sqrt(1666) - sqrt(1666)))\/(-6*(sqrt(2) + sqrt(2) + sqrt(32) + sqrt(2) + sqrt(2) + sqrt(2))))**2.\nAnswer: 833\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 366905779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 326\/(-6) - 7\/(-21). Let y = k - -109. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + x - 6 = -j, -4*j + 3*x = 10. Let m(r) = -2*r + 1. Let h be m(j). Suppose -2*f + 25 = h. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11224*q**3*x - 16*q**3 - q**2*x + 2*q**2 - 45417*q + 2 wrt q?\nAnswer: -67344*x - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98719?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10203 - 10206.2. Which is greater: -217 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x - 5. Let v be u(-6). Suppose -v - 16 = -j. Calculate the remainder when j is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6961821299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 14*n**2 + 9*n + 5. Let p be h(-7). Let m = 403 - p. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1173010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2. Let i(t) = -9110*t**2 + t. Calculate i(a(n)).\nAnswer: -36440*n**4 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25987 or 25984?\nAnswer: 25987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 965816477 or 965816478?\nAnswer: 965816478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 1. Let t(f) = -111*f + 185. Give -2*t(o) + 370*z(o).\nAnswer: -148*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*a**3*r*w**3 + 6*a**3*r*w**2 - 8260*a*r*w**3 - a*r*w**2 + 7014*a*w**2 - 3*r*w**2 wrt w.\nAnswer: 96*a**3*r - 49560*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, l: 1, b: 6, c: 4, x: 1}. Give prob of sequence bccl.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3\/9 - 4*b**2 + 34*b\/9 = 0.\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 15*t - 7*t. Let z(n) = 5*n - 3. What is z(t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76\/513)\/((-196)\/50274)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 619 in -4, -2, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-2))\/((-132)\/(-704)*168\/63).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4783483 by -53747.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14598 + -14597.6. Let h = -177975\/1532 + -30\/383. Let j = 117 + h. What is the third smallest value in j, q, -1\/4, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -14*k + 173. Solve -13*d + 12 = -k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 543235*o**3 + 657*o**2 + 15*o + 468 wrt o.\nAnswer: 3259410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -287, -314, -353?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 12:56 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 23 = -4*a. Let o be a\/(-6) + (-2)\/3. Let t = o + 5. Calculate the remainder when 6 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**5 - 648*l**4 + 13*l**2 + l - 92 wrt l.\nAnswer: 60*l**2 - 15552*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 948684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 997*f**3 - 12*f**2 - 4*f. Does 25 divide c(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -51.386\nAnswer: -5.1386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/17 + 19\/34. Let o = 1191.41 - 1191.51. Let t = -33\/2 + 16. What is the nearest to r in -3, o, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -17*u**5\/12 - u**3\/3 + 971*u**2. Let q(g) = g. Calculate q(l(r)).\nAnswer: -85*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3 = z. Let o = 14 - 12. Suppose z*g - 15 = -o*g. Put 0, g, 2 in descending order.\nAnswer: g, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y\/(y*y\/(y\/((y\/y**(1\/9))\/y))*y*y)*y)*y)\/y*y**13 assuming y is positive.\nAnswer: y**(134\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(27) + 5 - (3 + sqrt(12) + sqrt(3)))*-5 + (sqrt(432)*2 + sqrt(432) + sqrt(432) - (sqrt(18)\/(3*sqrt(6)) - sqrt(3))))**2.\nAnswer: -2920*sqrt(3)\/3 + 21613\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.7 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 8*m**2 + 46*m - 36. Let b be 3\/(-16)*120\/2 - (-402)\/(-536). Calculate n(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 36. Let o = 52 - m. Suppose 2*k = o + 66. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*a - 60 - 8*a - 4*a to the form x*a + l and give l.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**(-39)*(r*r**(-3))\/(r\/r**(-3))*r**(-1)\/(r\/(r**3*r*r))*(r**0\/r)**2 assuming r is positive.\nAnswer: r**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 - 101. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/25 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/18 and 11\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from {d: 2, n: 1, i: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 3) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 7*w - 2*w + 8970 = 0, -q + 1809 = 4*w. Suppose 0 = -2*u + 3*m - 5128, -u - m - 777 = q. Round u to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1584) + 5)*1)**2.\nAnswer: 120*sqrt(11) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -258 divided by 5\nAnswer: -258\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 34. Let c be 5 + 5\/q + -2. Suppose -2*p + 6*p = 3*y + 94, c*y - 8 = 0. Solve -7*o + p = -2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1603*p - 2321*p - 7898 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 1.3885294.\nAnswer: -2.6114706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6242 + -6234. Let m = 7 - -2. Let q = 10 - m. Which is the smallest value? (a) 0.2 (b) l (c) -0.5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5 = -3*q + s, 2*q + 5*s = 45. Let o be 28\/q + (-10)\/(-50). Factor -2*a**o - 4*a - 1\/3*a**4 - 13\/3*a**2 - 4\/3.\nAnswer: -(a + 1)**2*(a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 9 = -p + 2*p, 4*q + 30 = 2*p. Is (-8)\/32 + (-282)\/q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-1752)\/435)\/((-4)\/(-10))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39723 is divided by 1471.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -92*y**3 + 3*y**2 - 3*y. Let i(n) = -275*n**3 + 8*n**2 - 8*n. Determine 8*f(b) - 3*i(b).\nAnswer: 89*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + 0 - (22 - (11 + 8)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 18, 20, 22, 24, 26?\n\"Answer: 2*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(10\/((-120)\/28)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7\/y)\/(y**(2\/5)*y)*(y*y**(1\/4))\/y**(-2)*((y*y**(-3\/5))\/(((y**1*y)\/y)\/y))\/(y**(-1\/2)*y*y\/(y*y*y**(-1\/17))) assuming y is positive.\nAnswer: y**(591\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -14*p + 56 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -6. Let s(q) = 5*q**3 + 3 - 2*q**3 + 5*q**2 - 2*q**3 - 2*q + 5*q. Let l(p) = -2*p**3 - 6*p**2 - 4*p - 4. What is w*l(r) - 4*s(r)?\nAnswer: 2*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-56)\/(-7) - (-2 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, g: 8}. Give prob of picking 2 a.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.2 (b) -4\/7 (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015238 to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -918470.61+-27.68521\nAnswer: -918498.29521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1087*r*y**2 + 5*r*y - 9*r + 15*y**2 - 22*y + 2 wrt y.\nAnswer: -2174*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -38*n**2 - 38*n + 1. Give a(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -18, -26, -34?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 7:13 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33.05 - -33. Let r = -0.37 + 16.37. Let k = 16 - r. Which is the biggest value? (a) p (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/5)\/q)**(2\/75)*(q**(-1\/3)*q*q)**38 assuming q is positive.\nAnswer: q**(7918\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 474438659.4 rounded to the nearest 100000?\nAnswer: 474400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152 - 141263*v + 152.\nAnswer: -141263*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times -3?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -342 (base 10) in base 2?\nAnswer: -101010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 4093460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9942 bigger than 9002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 9 = -0*x - x, -3*s = 4*x + 59. Let p be 14*(4\/(-14) - x\/14). Put 4, p, -5 in decreasing order.\nAnswer: p, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 47*q - 2. Let r(z) = 187*z - 7. Let b(c) = -9*m(c) + 2*r(c). What are the prime factors of b(-2)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99 + -65. Solve i - 5*p - 27 = 0, q - 1 = 4*i - 5*p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13\/2 + 139\/22. Let l = 67 + -64. Which is the closest to 1? (a) z (b) -0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -6 - (2*9)\/(-3). Solve -5*a + 16 = s*f, -31 = 3*f - 4*a - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**2 - 3*s**2 + s - 2 + s**2)*(-251*s + 117*s + 135*s + 135*s**2) to b*s + a*s**4 + k*s**3 + z*s**2 + v and give a.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-24)\/5)*(-15)\/(23\/((-1656)\/(-27)))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -74488 divided by 6?\nAnswer: -37244\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(4\/(3 - 15)). Suppose -30 = 2*s + y*s. Is 4\/s + 2093\/39 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38894702 + 4820767 = 5*a. Let x = a + 81715673\/12. Let b = x + 5139. Calculate the common denominator of b and 107\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*c + 2*v + 13, -4*v + 12 = 0. What is the remainder when 2\/((-8)\/14)*-2 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 10 - -68 - (-1 + 1 + -15 + 23).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 229393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6717 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 5:19 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 3. Let s be r(3). Which is greater: 4 or s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*k = -2*n - 168*k - 2464030, 3*n = -k - 3695994. Round n to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.665721 rounded to one dp?\nAnswer: -77.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 96\/30 + (-18)\/15 + 1. Which is the third smallest value? (a) k (b) 0 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 230 (b) 0.01 (c) -2 (d) -3 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 116, 171, 224, 275?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 134, -5\/13, 303, -2\/15 in increasing order.\nAnswer: -5\/13, -2\/15, 134, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 1. Suppose l = -3*f + 9, -f + 1 = -5*l - 2. Calculate v(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 657*h = 625*h + 113728. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2552495 is divided by 1297?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 924*v - 364*v = 383*v + 14691 for v.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -6. Let b(p) = -p**3 - 2*p**2 - 4. Let h be b(-3). Suppose -4*v + x = -h. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 409 - 150. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3) + (-4)\/(-3). Suppose -5*l = -2*b + 15, -5*b + 0*l + 90 = -y*l. Suppose 0 = -0*r + 3*r - 12. Solve b = c + r*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216081?\nAnswer: 3, 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 482300 rounded to the nearest ten thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267 divided by 7.\nAnswer: 267\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, -617, -2208, -4433, -7292?\nAnswer: -10785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-413)\/126 + (4 - 1))\/(-21*(-14)\/(-882)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 0)*(0*d**2 - d**2 - 3*d**2).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -76*j**2 - 3*j - 7. Let c be y(6). Let w = -24878\/9 - c. What is the common denominator of 3*1 + 46\/(-18) and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2 - 20*c - 13. What is k(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 57\/2. Let p = 14.91 + -15. Does q = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 51*l. Let y be i(3). What is the highest common divisor of y and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-13)*-13 - (12 + 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -882382 or -882550?\nAnswer: -882550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 10:54 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*i + 1479 + 35 + 697 = 0 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b - 1 - 3\/4*b**2 = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -3\/4*b**3 + 11*b + 1\/40*b**5 + 27\/4*b**2 - 1\/8*b**4 + 17. Let x(h) be the first derivative of n(h). Factor x(z).\nAnswer: (z - 3)**2*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 divided by -238?\nAnswer: -17\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1424*m - 2747*m - 392074 for m.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/765*-6*5\/2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -10. Let q = 2 - c. What is the nearest to 2\/5 in 0.5, 3\/2, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -28, -5, -48 in decreasing order.\nAnswer: -2, -5, -9, -28, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/4)\/(228\/(-304)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 31 + 8 + -6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 14*x**5\/15 + 22*x**4\/5 + 22*x**3\/15 - 46*x**2\/5 + 12*x\/5 = 0.\nAnswer: -3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-19 - (-2 + 3)). Let n(y) = y**2 - 8*y - 9. Let k be n(8). Let u = k - -11. Solve 4*f - 8 = -3*b + b, 5*f - u*b = l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 9*s**2 - 11*s - 95. Let q be o(-9). Let t be q\/(-14) - (-32)\/112. Solve -6*v + t = -6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.46969? (a) 1 (b) -3 (c) -5 (d) 2\/9 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3868 + -3863. Solve 10*a = -y*a + 30 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.4 + -6. Let h = -1.3 + t. Let f = h - 4.1. Which is the second smallest value? (a) -0.4 (b) f (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 + 79*p - 11. Let m be d(38). Sort -5, -2\/11, m.\nAnswer: -5, -2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -3, -22, -61, -126?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081231334.\nAnswer: 2, 23, 47, 500107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*y + 3*t, -4*t = -3*y + 5 - 1. Solve 11 - y = -5*u - x, 15 = 4*u - 5*x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, g: 2, u: 5, e: 3, m: 7}. Give prob of picking 2 u and 1 g.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2*6806533\nAnswer: 13613066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -18*w - 1. Let t(y) = 11*y. Determine t(z(g)).\nAnswer: -198*g - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 2:03 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d + 4. Let q(y) = 7*y - 7. Let u(a) = -4*q(a) - 7*r(a). Let z(c) = 5*c**2. Determine u(z(h)).\nAnswer: -35*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-5))**(-26)\/(s**(1\/4)\/(s**(-10)\/s)))**42)**11 assuming s is positive.\nAnswer: s**(109725\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6455856.\nAnswer: 2, 3, 11, 12227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2379894 is divided by 117.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7732*j**2 - 3736*j + 1236281627.\nAnswer: 15464*j - 3736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 47*d**3 - 3*d**2 - 3*d**2 + 0 + 0*d**3 - 3 + 8*d. Let l be a(3). Let z = l + -518. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-3) - -1*2)\/(42 - 43). Which is the nearest to 2\/7? (a) j (b) 3\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = -0. Suppose -i = -5*x + 29. Let v = 19 - x. What is the greatest common factor of v and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, c: 1, k: 1, z: 2, q: 1, n: 1}. Give prob of picking 2 f and 1 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.12933kg to nanograms.\nAnswer: 37129330000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1220 + 0?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 0) + 20\/5. Let x(z) = 2*z**2 - z - 4. Let i(d) = -3*d**2 + 2*d + 7. Suppose -q + 5 = 7. Let n be q\/3*(-36)\/8. Determine h*x(r) + n*i(r).\nAnswer: r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 = -12. Solve 4*i + l = -2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1) + -12 - (-7 - 13).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veejevjjj. What is prob of sequence ej?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -23*t**2 + 1022*t + 773. Give h(45).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 divided by 6.\nAnswer: 65\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 c when three letters picked without replacement from cciwccwwciwccw.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1618*r**2 + 816*r**2 + 802*r**2 - 4612*r**3.\nAnswer: -4612*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 12*n**2 - 10*n - 2. Calculate the common denominator of y(13) and -57\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -32 (b) 4 (c) 17 (d) -0.2 (e) 0.1 (f) -8\/7 (g) 102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000170846681 rounded to 7 decimal places?\nAnswer: 0.0001708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 9\/26807?\nAnswer: 9\/26807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 550875 and 61500?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.83 or -57?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/8)*(k*k\/((k\/(k\/(k\/(k*k*(k\/(k*k**(2\/31)\/k)*k)\/k*k))))\/k*k))\/k*(k*k*k*k*k**(2\/27))**(22\/5))**(-25) assuming k is positive.\nAnswer: k**(-3722375\/6696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -24. What are the prime factors of (-1)\/(g + (-256)\/(-258))?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3948 = -m - 3*w, -2*w = 91*m - 87*m - 15832. Is 165 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16 - -10)\/(-3 + 0). Let t(j) = 352*j**2 - 707*j**2 + 351*j**f. Let g(q) = q**2. What is t(g(p))?\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-3)*((-399)\/(-48545))\/((-54)\/20).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2607)\/(-1302) - 2)\/(80\/(-48)) and 53\/22.\nAnswer: 23870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + s**2 + s. Let n(g) = -6*g**3 + 7*g**2 + 5*g + 1. Give -n(u) + 5*x(u).\nAnswer: u**3 - 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 955 - 956. Is 2\/4371 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*4*sqrt(832)*-1 + (1*sqrt(832)*5 - (sqrt(832) + -1)*3))**2.\nAnswer: -416*sqrt(13) + 562433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -12*j + 512. Give g(41).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -554713 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-459)\/93 - 30\/465. Put 0.4, z, -0.15, -1\/24 in ascending order.\nAnswer: z, -0.15, -1\/24, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 194748 and 2.\nAnswer: 194748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j*o**3 - 7*j*o**2 - 3*j*o - 41*o**3 + 1483*o wrt o.\nAnswer: -12*j*o - 14*j - 246*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 10:37 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -205.2 times 3.9\nAnswer: -800.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8809 - -8805. What is the fourth biggest value in -2\/11, -80\/3, -0.4, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 + (-8 - (29 + -27 + (-4 - (-3 + -3))))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 402, 43, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -26, 7?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 204, -5, 5, 6 in ascending order.\nAnswer: -5, -2, -1, 5, 6, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22468 * 6.35\nAnswer: 142671.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.2, 0.1, 0.11, 2\/43 in increasing order.\nAnswer: -4.2, 2\/43, 0.1, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 63, 58, 4, 29, -5, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from peppyyypepyp. What is prob of sequence pyp?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z + 121 + 121 + z**2 - 242. Let o(j) = -6*j. Let k be o(1). Let b = 9 + k. Determine h(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/7)*m\/m**9*m**12*m**(10\/9) assuming m is positive.\nAnswer: m**(304\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 66406, 66369, 66310, 66217, 66078, 65881?\n\"Answer: -2*n**3 + n**2 - 26*n + 66433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, q: 3}. Give prob of picking 1 q and 1 l.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 10.\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 19335019?\nAnswer: 7\/19335019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:02 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q = -40*q + 8. Let j(y) be the first derivative of 0*y + 0*y**2 - 5\/4*y**4 - q*y**3 + 7. What is the third derivative of j(g) wrt g?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*k + 4*q, 2*q - 3090 = -5*k - 3094 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.18 + -0.18. What is the closest to r in -0.1, -0.2, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9311*d**2*q**3 - d*q**3 + 2*d*q + 185*q**2 + 2 wrt d.\nAnswer: 18622*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 c when three letters picked without replacement from {m: 2, r: 8, c: 1, d: 1, t: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 2*s - 2*s**3 - 1\/12*s**4 - 1\/2*s**2 + 0. Does 13 divide a(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**3 + 8*t**2 - t - 17. Let a(n) = 7*n**3 + 16*n**2 - 3*n - 34. Let g(r) = -2*a(r) + 5*u(r). List the prime factors of g(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1955436956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/710 and 73\/38908.\nAnswer: 194540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-108 - -137) + -16 + 2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*j - 40*j - 16*j**4 - 41*j + 121*j + 3 - 2*j**2 - j**3 to o*j + p*j**2 + n*j**4 + k*j**3 + a and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c - 4 = 19*c + 4*w, -2*c + 3*w + 13 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 22\/3, -17, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 208.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 10*a + 19. What is h(-11)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69204, -138457, -207722, -277005, -346312?\nAnswer: -415649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/9)\/((-4)\/(-12)). Let w(n) = -362*n**3 - 2*n**2 + 4*n + 4. What are the prime factors of w(f)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2)\/v)\/(v\/(v**(2\/11)*v))*v*v*v\/(v\/v**(-3\/8))*v*v*v**17 assuming v is positive.\nAnswer: v**(1787\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -36. Suppose -s*k - 2*q = 449575 - 1655813, 3*k - 2*q = 1206230. Let j = 2202078 - k. Round j to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/7))**(-9\/11))**1 assuming o is positive.\nAnswer: o**(-81\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*(sqrt(104) + -4*sqrt(104) + sqrt(104)))\/(3*sqrt(648)*4).\nAnswer: 10*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 92 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -3.1. Let b = -1 + j. Put b, -2\/9, 0.3 in descending order.\nAnswer: b, 0.3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -5 - 3*-1. Sort r, 4, -3 in ascending order.\nAnswer: -3, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -263 + 19*r**2 - r + 262 - 2*r. Let w be u(-1). Let n = 23 - w. Solve -4*p - 7 = k - 2, -p - 8 = -n*k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4034510?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-291)\/(-388))\/((-5)\/(-12))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 p when three letters picked without replacement from {p: 1, h: 5, s: 8, m: 2}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:45 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*x - 18. Suppose -5*r + x = -10. What is the second derivative of l - 3*l**4 + 2*l**r + 0*l wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 8886 (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Let l = 39 - 39.2. Is l smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4391445 - 4391445 + 2*q. Let j(g) = -2*g**2 - 164*g. Give s(j(z)).\nAnswer: -4*z**2 - 328*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*sqrt(18))\/sqrt(6) + -5*(sqrt(108) - (sqrt(108) + 0)))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.40674 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 16*k**3 - 2*k**2 + 17*k - 30. Is x(6) a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14601 (base 7) in base 5?\nAnswer: 112233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-2)\/((-6)\/3). What is the units digit of -2*(105\/w)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131736667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 7, -135, -4.\nAnswer: -135, -4, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 4)*(f**2 - 2*f**2 - f**2) + 0*f**2 - 64 - f**2 + 13 to a*f**2 + t + v*f and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*h + 99 = -291*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5842 is divided by 1938.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10492 + -4037. Is v a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.32 - -0.08. Let t = 0.38 + -0.08. Let y = -248\/645 - 2\/129. Which is the nearest to y? (a) t (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1518, 2739, 4772, 7617?\n\"Answer: 406*r**2 + 3*r + 1109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 10 = -4*m - 5*c, 0 = -m - 4*c - 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-133 - -152) + -1 + -20.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -201 - 2?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 - -97. Are -0.09 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*f + 10 = a - 156*f, -3*a + 2*f = -30. Solve -2*i = -0*i + a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -3*y**6\/80 + 39*y**4\/2 + 52*y. Let k(d) be the third derivative of z(d). Let s(r) = -2*r**2. Give s(k(i)).\nAnswer: -1458*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + s**3 + s**2 - 4*s**2 + (2*s**2 + 12*s**2 + 0*s**2)*(s + 2 - 2).\nAnswer: 16*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 4*y**2 + 6*y + 3. Let x(z) = -z**3 + 19*z**2 - 16*z - 33. Let r be x(18). What is the remainder when g(r) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 11*o - 1. Let b be x(12). Let s = 210 + -122. What is the highest common factor of s and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1141, -5 in descending order.\nAnswer: 5, -5, -1141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(184\/80 + 3\/15) + 624. Does 1876\/3 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 44820\nAnswer: -1344.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -32. Calculate the greatest common divisor of 80 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 1423*c + 335380. Give j(-236).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z + 3. Suppose -24 = -5*w + 101. What is the remainder when w is divided by h(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxejjxjerjerrrzrrj. Give prob of picking 3 e and 1 j.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5678*v**3 + 8*v**2 - 5673*v**3 - 8*v**2.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 6*f**5 + 951*f**4\/2 - 10296*f**3 + 69660*f**2 - 173664*f + 95256 = 0?\nAnswer: -98, 3\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (1 - -30) + 31 + -7 + -21.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**3 + 39*a**2 + 11*a - 7. Let d(s) = 2*s**3 - 19*s**2 - 5*s + 3. Calculate -7*d(r) - 3*k(r).\nAnswer: r**3 + 16*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193 divided by 2.\nAnswer: -193\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33.38 + -33. What is z rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 7. Let w = 18 - 12. Let l be h(w). Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + i - 2. Let m(q) be the third derivative of -q**5\/60 - 11*q**4\/24 + 7*q**3\/6 - q**2. What is the remainder when m(-7) is divided by l(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-12))\/(65\/2470).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/40)\/(1\/(-20)). Is b at least as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79754711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 1 - r**2 + 2*r + 5*r**2 - 4*r**2. Calculate the remainder when 31 is divided by u(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 992*b + 23 - 23.\nAnswer: 992*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b**5\/5 - 626*b**4\/5 - 2164*b**3\/5 - 344*b**2 + 496*b\/5 = 0. What is b?\nAnswer: -31, -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + -1. Let r = -1.6017 - u. What is r rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-5))\/((-123)\/410). Does 3 divide y\/6 + (-2128)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/4 - 114769*n**3\/2 - 13172152897*n**2\/4 - 6585904296*n - 3292923456.\nAnswer: -(n + 1)**2*(n + 114768)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/167144 and 63\/5984.\nAnswer: 7354336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 255264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 106 + 347594?\nAnswer: 34769a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 2*o - 3*o - 2, 1 = -4*i - 5*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2\/9, -0.1, 5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 d when three letters picked without replacement from sdsfsosfsssddsdnnff?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30458.33746 - -30458. Let g = q - -35.33446. Let z = g - 35. Round z to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 6*a - 31*a + 3*a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 973, 24 in ascending order.\nAnswer: 5, 24, 973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 132498.2 microseconds in seconds?\nAnswer: 0.1324982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6337?\nAnswer: 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i - 60 = -5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4 + 26 + 49*i - 6*i - 7*i. Let d(v) = 72*v + 45. Let p(k) = 2*d(k) - 5*x(k). Differentiate p(z) with respect to z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21697)\/(-9) + -1*10\/(-45) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206372?\nAnswer: 2, 51593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 1:12 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a factor of 1008709088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, p: 1, t: 1, k: 1, a: 1}. Give prob of picking 1 p, 1 t, 1 k, and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2. Let h(k) be the second derivative of 17*k**3\/3 - k**2 - 323*k - 5. Determine h(t(n)).\nAnswer: 136*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 464529 divided by 43\nAnswer: 10803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*p**5 - 23*p**4 - 78*p + 1 wrt p.\nAnswer: -100*p**3 - 276*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12409368, -12409366, -12409364?\n\"Answer: 2*j - 12409370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -19. Suppose a*f - 548 = 7*f. Let m = -76 - f. List the prime factors of m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 7*s + 9 = -2*s, -3*o + 2*s = -2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - l)*(-3*l**2 + 3*l**2 + 3*l**4) + l**5 - 2*l**5 - 2*l**5 + 2*l**5 - 3*l**5 + 3*l**5 + (l + l**5 - l)*(0 + 6 - 4).\nAnswer: -2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2129762?\nAnswer: 2, 31, 34351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 250.35 + -262.35. What is the third biggest value in 16\/7, -3\/5, r, 4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113 by 64.\nAnswer: -113\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-45) - (-50)\/18. Solve 2 = b*c + 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -12*z**2 + 767*z + 12063. What is a(77)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -50?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 28111707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.52 + -0.08. Let r = -1.1 + a. Round r to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 6*q**2 - 8*q + 1. What is a(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3659479.408 to the nearest 10000.\nAnswer: -3660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3514, -4680, -5846?\n\"Answer: -1166*w - 2348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17971 - -17977. Solve -y = 2*d + 2*y - 1, 4*y + t = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 19*h**2 + 17*h + 21. Let g be v(18). Let f be 79 + g\/((-9)\/12). What is the greatest common divisor of f and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - g - 5*g)*(14*g**3 + 6*g**3 - 9*g**3) + 5*g**4 - 20 + 20 + (5*g**2 - g**2 - 3*g**2)*(1 - 2*g**2 - 1) - 3*g**4 + 2*g**4 + 2*g**4.\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = m - 25, l + 64 = 3*m + 5*l. Calculate the remainder when (3 + -9)*39\/(-6) is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 39 = -d. Let c = d - 27. Let i = -7 + c. What is the lowest common multiple of 7 and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5042814893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(500) + 3 - -2*sqrt(500)*2) + -1*((4 + sqrt(500) + 0 + sqrt(500))**2 + -2).\nAnswer: -2013 - 110*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0, -10\/13, -2\/5, 272, -5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + v - 6 = 0, 2*v - 31 + 15 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - -16.9. Let i = 16 - k. Let r = 3 - 3.5. What is the nearest to 0.1 in 0.3, i, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 44. Suppose 4*n + 0*n = 28. Calculate the remainder when n is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 = 377*d - 383*d for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 n when three letters picked without replacement from nnbnanob?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*x - 51*x - 50*x - 57)*(x**2 - x**2 + x**4).\nAnswer: -2*x**5 - 57*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4597 - -27707\/6. Let m = 67\/3 - h. Find c such that 3\/4*c**5 + 0*c**2 + m*c**4 + 0*c + 0 + 3\/4*c**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e9 - -e2?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 19*s**2 - 24*s + 19. Let h(v) = -28*v**2 + 36*v - 29. What is -5*h(m) - 7*r(m)?\nAnswer: 7*m**2 - 12*m + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -35. Let n be 1 + 10\/4 - (-4)\/m. What are the prime factors of n + 66 + 1 + -3?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 417 - 403. Suppose -f*j = -5909 - 5081. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(20\/(-8)) - -665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Let o = 6.5 + -6. Let y = -70 + 492\/7. What is the nearest to 2\/5 in w, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + q + 13, -4*h - 10 = -5*q - 43. Suppose -4*u + 46 + h = 0. Solve -2 + u = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, k: 3, l: 2, p: 1}. Give prob of picking 1 p and 1 f.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-55)*(-61)\/(1952\/880).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(18\/20 + -1)\/((-354)\/13275).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 + 1 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 90671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2 + 3. Let r(k) be the first derivative of 5*k - 1\/2*k**2 + 5. What is r(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/3 and -131\/2016.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 + -98. Solve -5*a - 28 = l, 0 = b*a - 4*a - 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kffxkkjfckkkfxkcjcx. Give prob of sequence kkjx.\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 482844 + -482846. Let h be (-2 - (-1 - -3)) + -1. Which is the smallest value? (a) -0.2 (b) w (c) h (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-9)*-1*15\/(-25).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a4b3b (base 12) to base 15.\nAnswer: -92a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5887655 + 21?\nAnswer: -5887634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 - 193*u + 4251. Calculate x(-115).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10204 = -470*x + 334 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 5*j + 94. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -37) + -2 + -9 - (54 - -38)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -22 - (-2 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**3 - 12*o**2 - 30*o + 2. What is the lowest common multiple of v(-3) and 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1758, -6922, -15538, -27612, -43150, -62158, -84642, -110608?\nAnswer: -140062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -870, 5 in ascending order.\nAnswer: -870, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 386 - 403.13. Let d = w + 0.13. Put d, -0.2, -0.3 in increasing order.\nAnswer: d, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 + 254?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49495 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26602454 - -1?\nAnswer: -26602453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340 = 64*q + 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1.3 (c) -371 (d) 0 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 11\/2, -0.7.\nAnswer: -14, -0.7, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o - 23*o - 3 = 3*z, 4*z + 10 = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 6:34 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 2:16 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(567) + sqrt(567))*6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/44*(-4)\/(-14)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 62*j**2 - 10*j + j - 15*j.\nAnswer: 62*j**2 - 22*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650 is divided by 48?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 3, z: 10}. What is prob of picking 2 h?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 3*d = 60. Let k(i) = 13*i + 84. Let m be k(d). Solve -3*n - 2*a + 15 = 0, -5*n - a = -m*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 86\/(-344) - 38\/(-8). Let d = -1.2 + 1.5. Which is the closest to 1? (a) 0.1 (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (292\/10)\/((-96)\/(-720)). Is 219 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -119\nAnswer: -23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104603?\nAnswer: 29, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22728 and 131214426?\nAnswer: 5682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -7. Let o be s\/4*8\/(-30). What is the smallest value in -0.3, 4\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75325\/225 + 9 - (14\/18 + -1) is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -36*x - 6*x + 4 - 8*x. Let o be c(-2). Let l = o - 91. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574071.\nAnswer: 3, 61, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5063 is divided by 722.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 0.02, 15, -1.05, -5, -1.1, -2\/5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/31 - -45\/5828. Find the common denominator of c and -1\/10.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 4550205.\nAnswer: -18200820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 38*s**2 - 1 - 5 + 4 to the form q*s + o*s**2 + m and give o.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1679\/7 + -240. Which is the smallest value? (a) 0.5 (b) x (c) 0.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -130, -599, -1718, -3811, -7202, -12215, -19174, -28403?\n\"Answer: -54*v**3 - v**2 - 88*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1848 - -31?\nAnswer: -1817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -131*y**4 - 406*y**3 - 351*y**2 - 90*y - 6. Let q(s) = -130*s**4 - 405*s**3 - 350*s**2 - 90*s - 5. Let i(h) = 5*o(h) - 6*q(h). Solve i(b) = 0 for b.\nAnswer: -2, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143059 (base 12) to base 16\nAnswer: -52485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/2910 and -31\/324.\nAnswer: 157140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 138687900 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 7 + 7 - 4*p to the form u*p + j and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 7. Let j(n) = -9*n + 0 + 3 + 1. Let v(a) = -2*a - 2*a - 26 + 28. Give w*v(g) + 2*j(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4223.784 litres?\nAnswer: 4223784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4662, 60, 2.\nAnswer: -4662, 2, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*u + 6*v - 290, u = 3*v + 78. What is the greatest common divisor of 20 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 127\/5 (b) 271 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -655*g**5 + 2*g**4 + 6*g**3 + 25*g + 263. Let o(a) = a**5 - 3*a**3 - a - 3. Let k(n) = -2*o(n) - w(n). What is the second derivative of k(t) wrt t?\nAnswer: 13060*t**3 - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b (base 12) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -1.482\nAnswer: 1.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) - (2*sqrt(170))\/sqrt(5))\/(-2*(sqrt(2) + sqrt(4)\/sqrt(2))).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 235030597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-2)*(72\/192)\/(59*12\/16).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + -0.8. Let l = -21.8 + 16.9. Let f = v + l. Sort -4, f, -0.3 in descending order.\nAnswer: -0.3, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 15 = -o, 5*o - 27 = j - 6. Let w be (-1)\/(-4)*(-3 + o)*0. Solve 4*v + 9 + 7 = w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8\/19 + 126\/209. Let b be 5\/20 - 34\/72. Put b, t, 1 in decreasing order.\nAnswer: 1, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54526912 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/11 (b) 2 (c) -1.50546\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126866432 to the power of 1\/2, to the nearest integer?\nAnswer: 11263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d*h**3 + 5*d*h**2 - 16*d*h*x**2 - 3*h**3*x + h*x**2 + 6 wrt x.\nAnswer: -32*d*h*x - 3*h**3 + 2*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 + -49. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**8\/84 + 34*r**7\/105 + r**6\/30 - 17*r**5\/15 + 5*r**2 - 11. Suppose u(k) = 0. What is k?\nAnswer: -1, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/43, 5, -9?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11993223 and 9812637.\nAnswer: 107939007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s - 1. Let t(c) = c. Let i(v) = 2*j(v) - 5*t(v). Let q(n) = -6*n + 11. What is -34*i(w) - 6*q(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*b + 115, 4*i + 0*b - 2*b = -80. Let c = 2709 + -2695. Let q be i\/(-6) - (-7)\/c. Solve -l + 2*n = -5*l - q, -5*l - n + 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20026 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2193698 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1920 in 11, -0.1, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 14. Let m be z(-9). Let x be 93*m*(-6)\/(-15). Calculate the common denominator of x\/16*(-4)\/(-6) and 12\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 404844556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -5*a**5 + 13045*a**4 + 210215*a**3 - 563725*a**2 - 1705890*a - 945000 = 0.\nAnswer: -18, -1, 4, 2625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39314?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11489555867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14*k**2 - 31*k - 274. Give i(-6).\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 832 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4 + 2 + q + 0. Let u(c) = -c**2 + 3*c - 5. Let l be u(-2). Let y be (-3 + (-55)\/l)*-3. Give p(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 4\/3, 1.9 in descending order.\nAnswer: 1.9, 4\/3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 4 (c) -250\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -32003, 2, 0, -5, 11 in decreasing order.\nAnswer: 11, 2, 1, 0, -5, -32003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h + 0*h)*(-1 + 5 - 3 + (-2 + 0 + 0)*(1 - 2 + 3)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 164 + -165.01. Let t = -1 - d. Let v = 0.00997 - t. Round v to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*m + 99505 = -1730*m - 52*m - 638*m for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 3*n + 238 - n**2 - 236 - 2*n**4 - n**3 to the form v*n + m*n**3 + s*n**2 + k*n**4 + r and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u. Let v be j(0). Let x be 2\/(-6) - 7\/(-21). Suppose x = -z - v*z + 6. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -6, -5, -2053, -3 in ascending order.\nAnswer: -2053, -6, -5, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 12 = t, 1003*p - 2*t = 999*p - 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 48149200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11474460 and 120?\nAnswer: 22948920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 235*-1165 + (-8)\/2. Let c = -87789 - y. Suppose -l + 2*p - c = -3*l, -25 = 5*p. What is l rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - (sqrt(931) + -1))**2 - sqrt(931))*6.\nAnswer: -42*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + h - 9. Suppose -p + 5*p = -36. Does 23 divide x(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14885*q**4 + 5079*q - 3 wrt q.\nAnswer: -178620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-4)*2\/7.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 529419011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.5 + 6.3. Let a = g + 19. Let z(u) = u**2 + 12*u - 5. Let w be z(-12). What is the closest to -1\/3 in 3, w, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)*-1 + sqrt(280) + sqrt(280))\/sqrt(10))\/(sqrt(256) + (sqrt(256) - sqrt(256)*-1)).\nAnswer: sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.28247331 to 3 decimal places.\nAnswer: 0.282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**3 - b**2 - 9*b*j + 2*j + 21 with respect to b.\nAnswer: -3*b**2 - 2*b - 9*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985472539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z = -35*z - 52 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (253\/(-92))\/((-14)\/(336\/30)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*17\/(-6))\/((-12824)\/(-9618)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 530 - 529.8. What is the smallest value in 3\/20, 1, w?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.6, 4, 1\/3, -0.2, -3, -4\/9 in increasing order.\nAnswer: -10.6, -3, -4\/9, -0.2, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14206, 28340, 42338, 56200?\nAnswer: 69926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 5:50 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 24 (b) 371 (c) -3 (d) -2\/11 (e) 2 (f) 2\/25\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.9, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44234 - 2233114?\nAnswer: -2133330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/503 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 522 and -4.\nAnswer: -2088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, q: 8}. What is prob of sequence wqwq?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3490322?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146094?\nAnswer: 2, 3, 13, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3135 + 3132. Which is the closest to d? (a) 1 (b) 1.8 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -219 - -235. Suppose 0 = -4*z + 24 - k. Solve z*l = -27 + 25 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 - 3*u**2 - 7*u - 4. Let p(r) = -3*r**3 - 5*r**2 - 13*r - 8. Calculate -5*f(b) + 3*p(b).\nAnswer: b**3 - 4*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.2 - -17. Let o = 1.2 + -0.6. Let w = -0.52 + o. Is w smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n - 2*n + 3*n)*(-43*n**2 - 70 + 70 + (-4 + 1 + 4)*(2*n**2 - 3*n**2 + 2*n**2)).\nAnswer: 210*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000005081286 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*(b\/((b\/(b*b**1)*b)\/b))\/b)\/b)**(-9\/2)\/(b\/b**(1\/2))**(9\/4))**(-33))**(-3\/2) assuming b is positive.\nAnswer: b**(-4455\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3 + (-31650005)\/(-10550000)). What is s rounded to the nearest one hundred thousand?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*r - 146*r + 57*r - 137*r as f + j*r and give j.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -421167 - -421167.11901261. Let r = -0.119 + y. What is r rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 72 + 21 = 5*g, -g = 2*s - 1. Let a(v) = -5*v - 25. Give a(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001011 (base 2) to base 7.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*r**3 - 4*r**2 + 3*r + 2*r**4 + 1 + 11*r**3 + 5*r**2 as l*r**4 + d*r + j*r**3 + h*r**2 + i and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-1)\/(-18)*6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 89522 * -4\nAnswer: -358088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1209 + 2415 - 1210 - 213*q in the form w + t*q and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12543621230 and -12.\nAnswer: 12543621218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 5:20 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/14? (a) 5 (b) 1.02 (c) -15 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3295.994 rounded to the nearest 10?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 214\/40 + (-2)\/(-8). Are 7 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*j**3*o + j**2*o + 5*j - 112*o + 2 wrt j?\nAnswer: 69*j**2*o + 2*j*o + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 12. Let b be (9 - 22) + 3*1. Is b greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-1 + (7 - 2)). Suppose 5*l = -3*t - 5, 2*t + d*l + 1 = 3*l. Let o be (-8)\/52 + t\/3. Which is the nearest to 1\/4? (a) -1\/3 (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24480.316 smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 14*s**2 - s + 1. Suppose -12 + 2 = -2*d. Suppose -2 = 3*a - d*a. Calculate the remainder when g(a) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -301.\nAnswer: 5\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -467, 3, 3\/2, 0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 17*l - 26 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + (-10)\/(-15))\/(8\/2892). Let w = u + -583. Calculate the common denominator of w and 9\/76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -217027 - -217030.46103. Let o = p + -3.47. Round o to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 + 2*h**2 - 16*h - 30. Determine r(-4).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Let d = 2.2 - x. What is the nearest to 0 in 44, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80464 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10300101 (base 4) to base 10\nAnswer: -19473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-44 - -83) + (-1 - 2) - ((12 - 8) + -1)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869999483?\nAnswer: 21937, 39659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4 = -36. Let j be (-24)\/(-10) + 2\/(-5). Suppose 5*u - 6 - 12 = -q, j*q = 6. What is the remainder when r is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 8*g + g + (-g + 0*g + 2*g)*(0 + 2 - 4) + g - g + 3*g - g + 4*g - g)*(g + 3*g - 6*g) - 4*g**2 + 6*g**2 + 2*g**2.\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:54 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 7. Suppose -w*u = -5*u + 3. Suppose u*k + k = 0. Which is the closest to k? (a) -0.3 (b) 0 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*o + 4. Let m(s) = -s**3 - s**2 + 2*s - 1. Let b be m(2). List the prime factors of o\/(-18) - 74\/b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = r + 4*z - 9*z, 0 = 5*r + 4*z - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o + 6. Let c be (o\/10)\/((-3)\/15). Find the third derivative of c*y**2 - 5*y**2 + 3*y**2 + 3*y**3 wrt y.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 10 + -6 - 16?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**5\/60 - 13*u**4\/12 - 21*u**3\/2 + 50*u**2. Let n be k(31). Calculate the highest common divisor of n and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51982.\nAnswer: 2, 7, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 411508904 and 154315839.\nAnswer: 1234526712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*d + 5 = 0, -2*z + z + 16 = 4*d. Suppose -i + 44 = -5*n, z*i + 5*n - 176 = n. Calculate the remainder when 125 is divided by i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1095*g + 13496. Calculate t(7).\nAnswer: 5831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**3\/2 + 3*l**2\/2 - 3*l. Let d(c) = 3*c + 2. Let o(b) = -3*d(b) + 2*h(b). Let n(x) = -15*x**2. Determine n(o(z)).\nAnswer: -135*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*z - 109*z + 95*z = -135*z + 10650 for z.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -3\/2 (c) 30789 (d) 3 (e) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1027191.\nAnswer: 3, 11, 17, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 59, -7, -5 in decreasing order.\nAnswer: 59, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 - 11*m + 19. What is z(-10)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/10 (b) 1015 (c) -0.2 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01906 to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243100.\nAnswer: 2, 5, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -3*j + 117. Let g be 14 - 25 - -7 - 169\/(-1). What is the highest common factor of g and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-75)\/45*6 + 333 is divided by 75.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - -16. Suppose -2*w = 6*w - z. Suppose w*d = 2 + 14, -2*d - 102 = -5*l. Calculate the remainder when l is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*s**3 + 89*s**3 - 45*s**3.\nAnswer: 99*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28347649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let i(z) = -z**2 + 5*z + 11. Let j(s) = i(s) - q(s). Suppose -2*o + 2*f + 5 = -1, -5*f = o - 9. Suppose -3*b = -o*b + 8. Determine j(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -421718?\nAnswer: -421720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3108 - ((-5 - -1) + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 289, 281, 291, 325, 389, 489, 631?\n\"Answer: x**3 + 3*x**2 - 24*x + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-8)*(-4)\/132*-11*34?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2932.926657 to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -287 + 530. Let w = 3643\/15 - m. Is w smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 278.271 - 279. What is r rounded to 2 decimal places?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22046 + 22044.98109. Let d = -1.02 - h. Round d to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212310201 - 13?\nAnswer: 212310122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 141*s**2 + 79*s**2 - s**3 - 197*s**2 = 0. What is s?\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 12 + 6. Let g(c) = c**3 + 9*c**2 + 4*c - 2. Let t be g(r). Suppose 2*s = -t + 230. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 63\/4 (c) -4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -714.280811 and 0.1.\nAnswer: -71.4280811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 10*x**2 + 4. Let t be a(-10). Suppose 0 = -s - 4*p + t, -3*p + 5 = s - 2. Solve -o + 5*o = -s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1970565010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 3*x - 9, -2*x - 5 = 2*k - 3*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31266107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 828\/920*(-408)\/108.\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u = 8. Suppose k + 14 - 63 = 3*h, u*k - 228 = 4*h. Suppose 4*q - 4 = 0, -2*n + 0*q + q + k = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 27*y**2 - y - 29. List the prime factors of h(-4).\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1297215 rounded to 2 decimal places?\nAnswer: 2.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9048 and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/98)\/((-26)\/(-91)). What is the second smallest value in 1\/2, 3\/7, k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 33, 0.3, 17, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1573)*-6 + -2*sqrt(1573)*-2)**2 + -2.\nAnswer: 100670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h + 0*h + 2*h + (4*h - 3*h - 3*h)*(-3 + 2 - 1) + 10555*h - 17891*h - 60806*h + 1811*h - 43539*h to u*h + y and give u.\nAnswer: -109864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*d + 200*d - 261*d - 136*d.\nAnswer: -387*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - 32) + 31 + 106?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3458079 is divided by 61.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 5. Let v(y) = 0*y + 2*y + 13 - 3*y + 0*y. Let r be v(10). Put 4, j, r in ascending order.\nAnswer: j, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26346, -26360, -26400, -26478, -26606, -26796, -27060?\nAnswer: -27410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 e when three letters picked without replacement from xpppepppepxp?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 u when four letters picked without replacement from mmuumuuummmmmummmum.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2 = -2*k, 2*k + 2*b = 4*k + 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -111 or 0.021663?\nAnswer: 0.021663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from {u: 1, p: 7, i: 2, t: 7, a: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*a + 491*a - 7*l + 36 = 991*a - 28*l, 0 = a - 3*l + 12 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - k - 1, -3*i + 1 - 14 = 2*k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 20*t + 2. Let f be v(-20). Suppose 2*s = f*x + 34070, 3*s - 26*x = -21*x + 51105. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z = -5*k + 144, -k + 5*z + 42 = 0. Let s(b) = b**3 - 27*b**2 + b - 25. Let j be s(k). Solve -3*p + 5*l = -6 - 11, 0 = j*p - 2*l - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**3 + 2*k**3 - 5*k - 5*k**3 to g*k**2 + u + i*k + d*k**3 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**6\/10 + o**4\/6 - o - 4. Let p(n) be the first derivative of h(n). What is the third derivative of p(i) wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(70))\/sqrt(10))**2 + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t**3 - 51*t**2 + 372*t + 96.\nAnswer: -3*(t - 4)*(t + 8)*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, g: 1, r: 4}. Give prob of sequence yrry.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/4, 2\/7, 8, -7, 0 in descending order.\nAnswer: 8, 2\/7, 0, -1\/4, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Suppose a - 22 = -m*h + 3*h, 0 = 4*h - 4. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0 = -3. Let t = -1 + j. Which is smaller: -6\/11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 473 + 103. Is u\/(-9) - (-2)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*k**2*m**2 + 65*k**2 - k*m**2 + k - 18575*m**2 + 8 wrt k?\nAnswer: 8*k*m**2 + 130*k - m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 126.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -38*m**3 + 5*m + 5. Let a(y) = -874*y**3 + 114*y + 114. Determine 5*a(x) - 114*g(x).\nAnswer: -38*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 188 - -164. Suppose -b + k = 3*b. What is the remainder when b is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4 - (-35)\/10). Let z be p\/(-8) + 15\/10. Which is the closest to 1\/4? (a) z (b) 2\/3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.085 and -21.\nAnswer: -20.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 15. Let m be n + (-5)\/(35\/1179). Let c = m + 170. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 19*u + 17*u - 10. Let g = 6 - 4. Suppose -12 = -g*t - 2*t, -4*t - 1883 = -u*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2\/7*i**5 - 30\/7*i**4 - 648\/7 - 54\/7*i**3 + 478\/7*i**2 - 144\/7*i = 0.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -9 - (0 + 6) - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8942, -7376, -4774, -1142, 3514, 9188?\nAnswer: 15874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/22 - (-3)\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.019 - 0.381. Let l = -0.1 - -0.1. What is the second smallest value in a, 0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5 - 6006*o**4 - 4547662*o**3 - 57728066*o**2 + 285676560*o - 303963400 = 0 for o.\nAnswer: -1495, -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 12. What is y(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 13. Suppose 5*d + 2*x = 51, -d - x + 13 = -q*x. Let c = 23 - d. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/301676197 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-3\/2)*a**10)\/(a**(1\/4)*a*a\/((a**(-1\/4)\/a)\/a)) assuming a is positive.\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.475905483 - 624.\nAnswer: -611.524094517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcrcrrrdl. What is prob of sequence lr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15142844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + b - 2. Let a be c(-9). Let k be 13 + 1045\/(-77) - a\/14. What is the highest common divisor of 54 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -346599 divided by -12837.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from qafylayanfafnynnlyaa?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 120, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.37 + 3.57. What is h rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*v - 2580 = 0, 4*g - v - 5160 = -6*v. Let k = g + -842. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62102*i - 992 + 2455 = 62179*i for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-72)\/(-3))*24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1205*l + 79. Let z(w) = 1206*w - 65. What is 5*v(d) + 6*z(d)?\nAnswer: 1211*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61828*r**2*v**2 - 9*r**2*v - 50*r**2 wrt v.\nAnswer: 123656*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Let j be n(0). Suppose -68*g - 16 = -72*g. Suppose 0 = 5*z + 3*t - 89, j = -g*z - 4*t + 60 + 16. Solve -6 = 5*l - z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.817936 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 16 = 4*s + 3*p, -4*s + p = -16. Which is the nearest to s? (a) 0.4 (b) -0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2051941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*u = 75*u - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -660*s**2 + 400*s + 62 + 124*s**3 - 91\/10*s**4 + 6\/25*s**5. Factor d(l).\nAnswer: 2*(l - 10)**3*(3*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61886 divided by -2813\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/120 and -35\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03384 + -0.0338406899. What is o rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -8*h - 9. Let n be l(-3). Let v = 27\/2 - n. Which is the fourth smallest value? (a) -2\/3 (b) 2\/9 (c) v (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-288)\/(-84)*(-84)\/(-18).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 7*x - 7. Let m(c) = -c**2 - 5*c + 5. Let g = 1 - 18. Let y = 10 + g. Calculate y*m(j) - 5*w(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c - 279 + 27 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20.76734343 from -4924.\nAnswer: -4903.23265657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11531147*g**4 - 12389204*g wrt g.\nAnswer: 138373764*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 - 2*t. Let j be y(2). Suppose j*x + 2 = 2*a - 2, 2*a + 4 = -4*x. Solve v + a + 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8889647 rounded to three decimal places?\nAnswer: -3.889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -541, -559, -577, -595, -613?\n\"Answer: -18*g - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.4 or -10\/23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 14 = -j. Differentiate -13 + j*t**2 + 0 + 71 - 7*t - 1 wrt t.\nAnswer: 8*t - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, p: 1, n: 3, y: 1, v: 1}. What is prob of picking 1 j, 1 v, and 1 y?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*s - 48*s + 1425. Let t = 89 - 31. What is the remainder when t is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 661935646 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82.8 - 9.2. Let s = c + 89. Let l = s - -3.00000019. Round l to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -20. Let r = v - -26. What is the biggest value in 0.2, -5\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r**2 - 7*r + 4. Let k(w) = 23*w**2 - 20*w + 11. Let u = -10 - -16. Let s(v) = u*k(v) - 17*l(v). Let h be s(2). Solve 12 = h*x - x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 - -0.3. Let q = -394 - -394. Which is the closest to 3? (a) 1 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*c**3*p + 2*c**3*y - 224*c**2*p*y - 4710984*c**2*p - 8047*c*p*y wrt y.\nAnswer: 2*c**3 - 224*c**2*p - 8047*c*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -2.4. Let y = -2.7 + j. Which is the fourth biggest value? (a) y (b) 1 (c) -2\/9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17516243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*n - 13, 3*n + 29 = -v - 4*v. Let a be (18\/(-15) + 1)*-9. Let f = a + -22\/15. Put f, n, 4 in increasing order.\nAnswer: n, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 20.3 (b) 0.003 (c) -4 (d) -2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*i + 4, -2*i - 6*u + u - 11 = 0. Let c = i - -6. Suppose -5*z = t + 6, 0 = 2*t - 3*t - c*z - 4. Which is bigger: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144518748 a multiple of 1164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + 451833?\nAnswer: 451845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 90 = 15*x. Suppose -x*h + 6*h = 18*h. Solve h = 5*m - 4*o - 25, -5*m + o + 1 = -9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 813 + 29*a**3 + 813 + (0 + 2 - 3)*(-8*a**3 - 131*a**3 + 11*a**3) to n*a**2 + m*a + z + h*a**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*(w\/w**(1\/3))\/w)\/((w\/w**2)\/w*w\/w**(8\/5)) assuming w is positive.\nAnswer: w**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -80058 (b) -0.18 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1881*d - 1883*d = -4*y - 8, -3*d - 15 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (2*-1 - -2). Let z = 3 + p. Put 1\/3, 0.4, z in increasing order.\nAnswer: z, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvv when three letters picked without replacement from wagdgvvddfaw?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**2. Let f(i) = -3*i**2 - 5*i. What is f(a(x))?\nAnswer: -75*x**4 + 25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -d + 15, 0*d + 3*d = -15. Let r(p) be the second derivative of 0 + 5*p - 1\/150*p**6 + 1\/30*p**3 + 1\/60*p**4 + 0*p**2 - 1\/100*p**h. Factor r(i).\nAnswer: -i*(i - 1)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 2 = 15*i. Suppose r - 94 - 163 = -4*c, -132 = -i*c - 4*r. Let j = c - -51. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -457, -3769, -12791, -30379, -59389, -102677, -163099, -243511?\n\"Answer: -476*y**3 + y**2 + 17*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 3*t + 3*t**2 + 15 - 3 - 15*t to the form d + y*t**2 + f*t and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 637419767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 176102069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)\/b*b**(-3))**(-10\/17)*b**(-1\/8)\/b**(-6)*(b*b**5)\/b**(-1\/6) assuming b is positive.\nAnswer: b**(6353\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7998 - 5*n**2 + 3980 - 17*n + 3983)*(5 - 3 + 0) in the form p*n**2 + b + u*n and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4348, -4411, -4516, -4663, -4852, -5083, -5356?\n\"Answer: -21*a**2 - 4327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002247767161 to 7 dps.\nAnswer: -0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**5\/60 - b**3\/6 + 3*b**2. Let r be s(1). What is the nearest to 0 in -2\/7, -0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 28 + -34 + 21 + (2 - (74 + -1)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -210, -39, -6856, 1 in descending order.\nAnswer: 1, -39, -210, -6856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 157015 a multiple of 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 1. Let p(s) = s - 1. Let g be p(0). Let h be 0 + 3 + (g - 0). Let a(z) = 2. Give h*t(o) + a(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 3*d + 4. Let v be l(7). Let x = -40 - v. Calculate the remainder when 73 is divided by (-4)\/x - 498\/(-26).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5705*f**2 + 5857*f**2 - 11566*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 2. Let l = -893 - -887. What is x(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023200 (base 7) in base 12?\nAnswer: -5b622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3177 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1. Let h(s) = -2*s**2 + 10*s - 10. Let o(p) = 2*h(p) - 4*x(p). Factor o(t).\nAnswer: -4*(t - 4)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.5 (b) 0.9 (c) -1 (d) -2\/5 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w = -31*w + 12. Let n(x) = 0*x - w*x + 2 + x. Let h(c) = -2*c + 9. Let s(l) = -l + 5. Let g(u) = 4*h(u) - 7*s(u). What is 5*g(j) - 2*n(j)?\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1291022?\nAnswer: 2, 29, 22259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 4227*p**2 + 1235790*p.\nAnswer: 3*p*(p + 414)*(p + 995)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3117.127 years?\nAnswer: 31.17127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -11*i + t - 511, -t = -4*i + 521. What is the remainder when i is divided by 123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 8:22 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 + -132 + -1 + -46 + 27 + -24.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*p - 4*p + 3*p + 3*p + (-2 + 2 - 2*p)*(2 + 0 - 3) + 0*p + 5*p - 4*p + 2*p + 6*p - 3*p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-500)\/(-15))\/(145\/522). Calculate the highest common factor of 804 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17621653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -c + 2. Suppose -v - 4*r = -3, v - r = -0*r - c. Is 0 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j\/j**7*j*j)**(-5))**41 assuming j is positive.\nAnswer: j**205","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 2*g - 108. Suppose 3*f + s = 17, -3*f + g = f - s. Is 287\/(-28)*f*-4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 725.9707 micrometers?\nAnswer: 725970.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*y - 8. Suppose f + i - 18 = -y*i, 0 = 5*f + 4*i - 57. Calculate the remainder when 35 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*j + 15 = 4, 2*m = -j - 4. Let i = -1546 - -1545. Which is the biggest value? (a) 7 (b) m (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - -0.1. Let l = 0.3 - c. Let n = 1 - 0.6. Put l, n, 0 in ascending order.\nAnswer: 0, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7232*f + 602384 - 54076 + 261197 = 165857 for f.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2389.25 plus 12.9?\nAnswer: -2376.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g. Let h = -12 + 11. Let f(y) = 1. Let n(v) be the second derivative of -v**4\/6 - 3*v**2 - v. Let w(m) = h*n(m) - 6*f(m). Calculate t(w(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26 and 6.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33868896 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63246205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-11 - (-11 - -9) - -10)) + 9\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 4. Let k = -1936\/5811 - 1\/5811. What is the biggest value in k, -0.3, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14336410391 less than 3.75?\nAnswer: 14336410394.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-20) - ((-1824)\/(-40) - 9). Let d = 84 + -86. Sort j, -5, d, 1 in decreasing order.\nAnswer: 1, d, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyyeyyeyyyyy. Give prob of picking 3 y.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 7*k - 9. Let p be l(6). Let g be 1 + p + (-10)\/(-2). Solve g*u + c + 9 = -5, 0 = -2*u - 3*c - 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + 2*k**3 + 3*k**2 + 5370 - 4*k + 2*k. Let n be l(0). What is n rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -615296 divided by 368?\nAnswer: -1672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/63)\/(9\/(-21))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 829, 1628, 2419, 3196, 3953, 4684?\nAnswer: 5383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*v - 6, 0 = -2*d + d + 3*v - 2. List the prime factors of (4\/(-2))\/d*12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebxexbbb. Give prob of sequence bb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1276)\/(-28) + (-48)\/84. Solve 20*h - 29*h = -t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*v + 23. Suppose 48 = 2*b - 5*b + 3*m, -3*m = -v. Let q = -2 - b. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -151, -613, -1383, -2461, -3847?\n\"Answer: -154*u**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524054044 (base 6) to base 14.\nAnswer: 1303388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((18 - 6) + -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 18 = 4. Let j be 4\/(2 - 4) + 6. Suppose -4*v - 4*y = -44, v - 2*y = -j*y + 6. What is the lowest common multiple of v and c?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 13982 = 672. Round b to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h = -3. Suppose -h*s = 5*n - 72, n - 4*n = 5*s - 104. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1408551.\nAnswer: 3, 43, 61, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 561038327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or -408\/671?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 4. Suppose 3*f + 0*f - 12 = i. Suppose 0 = 2*j - 2*n - 16, -4*j - f*n = -7*n - 28. Solve 2 = -2*b - j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + b - 3. Let s(v) = 5 + 10*v - 4 - 15*v + 6*v. Let r(k) = 4*s(k) - x(k). Determine r(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 2:34 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/5 + 6*k**2 + 96*k\/5 + 88\/5.\nAnswer: 2*(k + 2)**2*(k + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 7) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2875, -2514, -1899, -1024, 117?\n\"Answer: q**3 + 121*q**2 - 9*q - 2988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57213774.\nAnswer: 2, 3, 3178543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74.228 + 71.2347. Let p = -50 - -53. Let y = o + p. Round y to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ullllluuuulu. Give prob of sequence ul.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2213 - -23?\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/9006 and 7\/24016.\nAnswer: 72048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 69*m**2 + 9*m - 11. Let d be s(-9). Let h = -438\/42299 + -2322929803\/422990. Let z = h + d. Calculate the common denominator of z and 63\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(2\/19)*r*(r**(-4\/7)*r*r)\/r)\/(r**4\/r**(-5)))**11 assuming r is positive.\nAnswer: r**(-8305\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -58, 142, 2, 7 in decreasing order.\nAnswer: 142, 7, 2, 0, -2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 207 and 381363.\nAnswer: 1144089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 323 and 143667?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**5 + 1680*l**4 - 139410*l**3 - 290680*l**2 + 428415*l = 0.\nAnswer: -3, 0, 1, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2907 - -2909. Solve -q*z = -3*u - 3, -5*z - u = -z + 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -465, -950, -1461, -2004, -2585, -3210?\n\"Answer: -a**3 - 7*a**2 - 457*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 8 (c) -68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**0*f*f)\/f*f**(1\/4)*f)\/(f**(-5)*f**6))\/((f*f**2\/f*f*f)**(-1\/18))**(-29) assuming f is positive.\nAnswer: f**(-187\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (228608\/35720)\/(-2*1)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -226*h**2*z + 327507*h**2 + 3*h*z + 4*z wrt z?\nAnswer: -226*h**2 + 3*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 25*q - 16. Let m(r) = -r**3 - 13*r**2 + 118*r + 80. Let b be m(-19). What is z(b)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12993 or 64969\/5?\nAnswer: 64969\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**3 - 2*z + 4. Let l be f(-3). Suppose l = 4*j - 57. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52511554 - -1?\nAnswer: -52511553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 34. Which is the closest to -1\/2? (a) d (b) -4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, m: 3, b: 5}. What is prob of sequence bbjj?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 285? (a) -5 (b) 2 (c) 0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 11*f. Give h(7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/12))\/(b*(b\/b**(-10))\/b*b)*((b*b**14)\/b)\/b**(2\/25))**12)**(-24) assuming b is positive.\nAnswer: b**(-21624\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6006 to 2 dps.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/33)\/((30\/(-75))\/((-319)\/6815)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 + -1)\/((-42)\/28) - -297.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 3 (b) -0.07 (c) 3\/89 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2624979 meters to nanometers.\nAnswer: 262497900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(((z*z\/z**(3\/29))\/z)\/z))\/z))\/z**(25\/4))\/((z*z\/(z*z**(9\/8)))\/z*z*z*z*z\/z**27*z) assuming z is positive.\nAnswer: z**(4123\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + -53. Let d(f) be the second derivative of -f**3\/3 + f**2 + 3*f. Calculate d(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c (base 14) in base 3?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*b - 128 - 586. Put b, 0.5, 1\/3 in decreasing order.\nAnswer: b, 0.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-nine quarters of a century?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -538, -544, -554, -568, -586, -608, -634?\n\"Answer: -2*d**2 - 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -460.3 rounded to the nearest 10?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482*a**2 + 2 + 228*a**2 - 2 + 255*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -273 - -465. Let o = 130921 - 130901. What is the smallest common multiple of o and y?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s + 446. Let v be w(-52). Suppose -39*j + 53*j = v. What is the remainder when j is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(136) + ((sqrt(136) - 1*sqrt(136))*3 - sqrt(136)))\/(sqrt(8)*-2*5 - (1*sqrt(288) + sqrt(288))).\nAnswer: 7*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530296\/100 + (-9)\/(-225).\nAnswer: 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 11) + 5 + -8 + (4 - 21)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5400?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-26)*h**(-3\/13)*(h**(14\/3))**(-1) assuming h is positive.\nAnswer: h**(-1205\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 5\/2*u**2 + 0*u**3 + 0*u**5 + 0*u**4 - 3\/10*u**6 + 0 - 24*u. Differentiate b(v) with respect to v.\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000422348 rounded to 6 dps?\nAnswer: -0.000422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 265753055 - -3?\nAnswer: 265753060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5009 + 5006. Which is smaller: 3\/44 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4150*t + 7609 = -76678 - 36063 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1321 (base 16) to base 5.\nAnswer: 124042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 1 - 85*k + 0.\nAnswer: -85*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 5*z = 3*y - 5, 0 = -5*y + 4*z + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*y - 49 = 0, -8*t - 448387*y + 448391*y - 52 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = n - 3*h, -5*n + 3*h - 19 = 5*h. Which is the second biggest value? (a) n (b) 4\/3 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k - 1535*k**2 + 10*k**3 + 2 + 1535*k**2 - 12*k to d*k + b + s*k**3 + n*k**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431062, -431063, -431064, -431065, -431066?\nAnswer: -431067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((150\/(-9))\/5)\/(2\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.0624 - -4.5624. Which is the biggest value? (a) p (b) 1\/6 (c) -1\/8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (11 - (2 + 0)). Let i be 2\/9 - (-183)\/27. Solve i*w - l = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*l**4*q - 88*l**4 - 25958*l**3*q - 1358*l**2 - 459*l*q + 5*q wrt l?\nAnswer: 360*l*q - 2112*l - 155748*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**7\/1680 + p**6\/144 + 7*p**5\/240 + p**4\/16 - 7*p**3\/6 + 4*p**2. Let w(z) be the first derivative of o(z). Factor w(h).\nAnswer: (h + 1)**2*(h + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000008311 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -10, -3, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13 (b) -1 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7237079.26 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52315*q**3 + 25296*q**2 wrt q.\nAnswer: -313890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 810, 2, -1\/8, -18, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128308053?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 15 - 5)*(6*n**2 + 3*n**2 - 8*n**2 - 3*n) to i*n + f*n**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 8510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/2 - -3)*6. Suppose 5*s + 0*s = -3*f + 137, 5*f = -z*s + 95. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -961*c + 968*c - 3094. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r**3 + 2*r**3 - 2*r**3)*(r + 0*r + 0*r) + 298 + 47*r**3 + 12*r**4 - 296 + 3*r - 32*r**3 to the form c + a*r + j*r**4 + g*r**2 + h*r**3 and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventeen halves of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -185\/3 or -74?\nAnswer: -185\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17718*r**3 - r**2 + 199*r - 29 wrt r?\nAnswer: 106308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 346966.0187 + -347431. Let a = 465 + u. Round a to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 15) + (2 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585 = -11*b - 251. Is -76 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + 17. Suppose -172 = -5*v - 3*l, -2*v + 2*l + m = 7*l. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19237.1415+4\nAnswer: -19233.1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 5)*(0*m + 2*m - m) + m - 2*m + 3*m + 2*m - m + m - 13*m - 15*m - 8*m to s*m + y and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2 (c) 1.8 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 38\/(-14) + (-370)\/70 + 5. Let k(l) = -21. Let o(u) = u + 20. Calculate t*k(w) - 2*o(w).\nAnswer: -2*w + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 7) to base 13.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 49, 3, -2, -1 in ascending order.\nAnswer: -5, -4, -2, -1, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 5:00 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 307867 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-6)\/18*(-6)\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**5\/20 + 7*q**4\/12 - 5*q**3\/3 + 20*q**2 - 134*q + 6. Give v(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -6.9. Let f = -1.8 - -0.3. Let z = f - l. Put 5, z, -5 in ascending order.\nAnswer: -5, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-18)*6\/4. Let y = w + 23. Calculate the greatest common factor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.2 - 10.8. Let n = o + 13. What is the third biggest value in n, 0.02, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 6 + 6. Let 3*w**5 - 3*w**4 - 4*w**q + 9*w**4 + 7*w**3 = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**6\/10 + 3*x**2\/2 + 27*x + 2. What is the derivative of p(a) wrt a?\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 11. Give u(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a**(-3\/5)))*a)**(-43)*(a\/(a**(-4\/7)*a)*a)\/(a*a**7) assuming a is positive.\nAnswer: a**(-2332\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5*j = 2*u + 30, 12 = 2*u + 2*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 13 = 5*j, 5*h - 8*h = 2*j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -725*v + 175. Let c(u) = -25*u + 6. Let y(t) = 175*c(t) - 6*m(t). Let f(s) = -2*s. What is f(y(h))?\nAnswer: 50*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 16*i**2 + 2*i + 6. Let q be j(-7). Let c = q + -342. Suppose -w + c = w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-8)*-1)\/(2 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 4, 5*h - 88 = -3*u + 51. Let j = 40 - h. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z - 66. Let f(d) = 20*d - 1. Calculate l(f(a)).\nAnswer: 60*a - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 159629\/272340 - -63\/1513. Find the common denominator of m and 31\/144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 53 = 4*n, q = -5*n - 2 + 1. Let b = 20 - 29. Let i = b + q. Put -2, i, -5 in descending order.\nAnswer: i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 9. Is (-2)\/4 - (-329)\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 450*g**2 - 1740*g - 1720.\nAnswer: -5*(g + 2)**2*(g + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1388 * 4.15\nAnswer: 0.57602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1005*j + 320 wrt j?\nAnswer: 1005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -24. Is 0 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 235 and 201395?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -43, -54, -49, -22, 33, 122, 251?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**6\/660 + 3*q**5\/110 - q**4\/22 - 16*q**3\/33 + 133*q**2 - 3. Factor f(p).\nAnswer: -2*(p - 8)*(p - 2)*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.513 - -1.5132675. Round k to five dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u + 32*u + 6 = 0. Let w be 1\/(u\/(-100))*3\/(-2). Solve 2*x = -0*x - 4*z - 6, 4*x - 5*z + w = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 12*z**2 + 12*z + 29. Let d be v(-13). Find the third derivative of -23 + d + 6*m**4 - 4*m**5 - 18 + 18*m**2 wrt m.\nAnswer: -240*m**2 + 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 35. Suppose 0 = -3*d - 15, -4*d = -2*l - p*l + 1656. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0.7. Which is the closest to -2? (a) 0.4 (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/1437 and -145\/12?\nAnswer: 5748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-6)\/4)\/(33\/110)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7192 = -2*h + 2*b, -4*h = -6*h - 5*b + 7185. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9392 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1680 and 36?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44930303473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3934 + -3973.31. Let j = 37.7 + o. What is j rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 822 - 781. Solve -7*j + h = 48 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38244 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26.46 and -2?\nAnswer: 52.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -674ab8a - 4?\nAnswer: -674ab92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55768*z**2 - 3 - 55743*z**2 + 3.\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -8. Let q(o) be the second derivative of o**4\/12 - 2*o**3\/3 - 7*o**2\/2 + o. Is q(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1609043, 3218089, 4827135?\nAnswer: 6436181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (-2*sqrt(77) - sqrt(77))*2)\/(sqrt(176) - (-2*sqrt(176) - sqrt(176))))**2.\nAnswer: 343\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a milligram in micrograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82629 + -82629.35323. Round c to two dps.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3))\/sqrt(6) - (2 + sqrt(75)) - (-6*sqrt(165)\/sqrt(5))\/(sqrt(88)\/sqrt(2)).\nAnswer: -2 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 2*a**3 + a + (15*a**3 - 20*a**3 - 21*a**3)*(0 - 1 + 2).\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006057432 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/4275 and 97\/19767410?\nAnswer: 889533450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t + 0*t)*(-842*t + 32 - 90 + 31 + 27).\nAnswer: -1684*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((48\/9)\/8)\/((-6)\/45). Let m = 2\/9 + 1\/9. What is the second biggest value in p, m, -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 25 = 29. Let g = -77 + q. Which is bigger: -22 or g?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 3542?\nAnswer: 3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004964622686 rounded to five decimal places?\nAnswer: 0.00496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n - 26*n + 3*n + 11*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, -3, -4, 2 in descending order.\nAnswer: 6, 3, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -49\/5, 2054, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 132586, 265222, 397910, 530650, 663442, 796286?\n\"Answer: 26*t**2 + 132558*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7566328 - 7566265.78174. Let g = -62.2 + b. Let f = -0.019 + g. What is f rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 9:30 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10) + 23\/(-20). Suppose -7*f = -2*f + 2*o + 3, 1 = 5*f + o. Let g = -3.0048 + 0.0048. Which is the closest to f? (a) g (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 2.7, 2\/9, -0.2 in ascending order.\nAnswer: -5, -4, -0.2, 2\/9, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + (1*((-3 + sqrt(300) + -1)*-2 + (sqrt(300) + sqrt(300)*-1 + 4 - (sqrt(300) + -1)*-5)))**2).\nAnswer: 1680*sqrt(3) + 10980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -364 - -327. Let z = o - -63. Calculate the highest common factor of z and 754.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 8*q**2 - 12*q - 3. Let w be n(6). What is the third smallest value in -3\/5, w, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438697 is divided by 87428?\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n**2. Let b be (-1)\/(-3) - 172\/(-6). Suppose 20 = 4*d + 2*l, 4*d + 1 = -4*l + b. Let z(t) = -d*t**2 - t**2 + 5*t**2. What is z(o(j))?\nAnswer: 81*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.541 - -4.636. Let c = l - 5.392. Let h = c + 0.187. Round h to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from hyhhhhuwhhhhphnhhh?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = -7*d - 129 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 - 1)*(131*c**2 + 101*c**2 - 266*c**2)*(c - c - 3*c**2) in the form n*c**4 + b*c + w + z*c**2 + k*c**3 and give n.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - u = 22, -235*n + 240*n - 37 = -4*u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l + 42. Suppose 0 = -5*g - 2*s + 20, 5*g + 15 = 2*s + 55. What is b(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011100000111 + 1010011?\nAnswer: 10011101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.3594888?\nAnswer: 1.4379552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.1819 years to millennia.\nAnswer: 0.0201819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (247 - 253)*(-8)\/80?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/285*(-25)\/15?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 10*r - 9. What are the prime factors of h(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - -1 - (-29 + 44 - (-6 + 15)) - 20.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -4*n**6\/3 + n**3\/3 - 8. What is the third derivative of x(q) wrt q?\nAnswer: -480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-6 - -6) + (-6 - -3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1902419?\nAnswer: -5\/1902419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -83*h + 717. Give f(4).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3\/2 - 15*a**2\/2 + 3*a + 12 = 0 for a.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12632055 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 45247 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 10 + 6 + 18*u + 3*u**2 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -356*q**4 + 661*q**4 - 601*q**2 - q**3 - 190*q**2 - 3*q**2 wrt q?\nAnswer: 7320*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2208 = -4*b + 2*w, 4*w + 2200 = 4*b. Is 29 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267617900 to the power of 1\/4, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17857070 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 2:20 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 10 = 4*g. Suppose 7*f - 40 = 2*f. Suppose 0 = -2*a + f, 0*a + 124 = 3*d + 4*a. What is the highest common divisor of g and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712 a factor of 3160217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -477, -1555, -3287, -5679, -8737, -12467, -16875?\n\"Answer: -a**3 - 321*a**2 - 108*a - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1747233498 to the nearest integer?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 2. Let h(s) = -2*s**2 + 50*s + 59. Let b be h(26). Give x(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 2:08 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1969303 and 106711?\nAnswer: 21662333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32859 + -32854. Let d(x) = 3*x**3 - 5*x**2 + 6*x + 10. Let w(z) = -4*z**3 + 6*z**2 - 7*z - 11. Give n*w(h) + 6*d(h).\nAnswer: -2*h**3 + h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.078 + 2.078. Let v = 1.926 - c. What is v rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3542.215019 to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/42*(-11 + 2)*-34. Calculate the highest common divisor of 255 and t.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 8, w: 5}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 4*v + 6 = -0*v, 5*v - 10 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 360, -4\/3, 3, 607 in descending order.\nAnswer: 607, 360, 3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 889217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - -46 - (70 + -53)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k - 1. Let c be o(2). Let l(d) = 4*d - 1. Let r be l(1). Suppose -5*v = -10, 4*g = r*g + 3*v + 8. Calculate the highest common divisor of g and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 14.0052.\nAnswer: 7.0026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.3, 0.2, -1\/7, 2\/33 in increasing order.\nAnswer: -5, -1\/7, 2\/33, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/231786 and -19\/502203?\nAnswer: 3013218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1875 + 1049. Let t be (a\/(-3))\/(14\/(-1113)). Let u = 90889 + t. Round u to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 2*i**2 + (-2*i - i - i + (1 + 1 - 3)*(6*i - 4*i - i))*(-4*i + 0*i - 4*i) + 6*i**2 - 5*i**2 + 6*i**2.\nAnswer: 49*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 725 and 459505.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 26. Suppose -5*o - 20 = 0, -n + 0*o = -x*o - 20. Suppose a - 2 + 6 = 4*r, n = 2*r - 4. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000011110110011001001 (base 2) to base 4\nAnswer: 20132303021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62832.\nAnswer: 2, 3, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q - 2*f + 16 = 0, 3*q = 5*f + 8. Suppose r - 9000000 = q*r. Round r to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 154*q + 3*p, 2*q - 7*q + 15 = -2*q - 3*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 939054770 rounded to the nearest 1000000?\nAnswer: 939000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -555*s**2 + 1539*s + 378 = 0.\nAnswer: -42\/185, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -3 - 54\/36) + 1. Put 67, m, -10 in decreasing order.\nAnswer: 67, m, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 950824 and 2139354?\nAnswer: 8557416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34492723 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210156 = -3*f + 3*j, 4*j = -f + 6*j + 70053. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -20. Let h = -4 - -9. Suppose a = 2*a - h. Solve 23 - b = -k + a*g, -k + g = 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = 11*f + 12. Let p = -7 + 12. Let g(d) = d**3 - 5*d**2 - d + 3. Let b be g(p). Sort 5, b, f in ascending order.\nAnswer: b, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 34467 - 2073. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (189\/126)\/(1\/6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -r - 1, -1 = -4*r - 3*z - 5. Let p be 3 + r + (-4542)\/55. Let l = p + 412\/5. Calculate the common denominator of l and -9\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8879*j**2*l - 1378*j**2*v + 2*j*l + 2*j*v - j - 159*l*v - 5*l + 95*v wrt j.\nAnswer: -17758*l - 2756*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.414798mm to meters.\nAnswer: 0.008414798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18641970.\nAnswer: 2, 3, 5, 103, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/(-17 + 6) - (-91 - 1). What is the highest common divisor of z and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-64)*(-2)\/25*4\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0753 * 0.5.\nAnswer: -0.03765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1582 less than or equal to -1581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2602*p**3 - p**2 + 598*p.\nAnswer: -15612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1161, 2276, 3347, 4374?\n\"Answer: -22*c**2 + 1181*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.3, 2\/13, 10, -22, -6.\nAnswer: -22, -6, 2\/13, 0.3, 2\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 11 (c) -1 (d) 4\/7 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35334, -35336, -35340, -35346?\nAnswer: -35354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 8*t**2 + 5*t - 3. Let v be ((-322)\/138)\/(1 - 8\/6). Calculate r(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k. Let n(f) = -25 + f**2 + 50 - 25. Give n(l(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdddddxxdccmcddctrmx. What is prob of picking 1 x and 2 c?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4196 - 0.0196. Which is the second smallest value? (a) -3 (b) 2\/7 (c) o (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 1\/4*i**4 - i**2 + 7\/3*i**3 - 11 + i. Is 5 a factor of l(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*h**3*l*o - 625*h**3 - h**2*l**2 + 5*h**2 + 2*h*l**2 - 335394*l**2*o - 7*l**2 wrt o.\nAnswer: -6*h**3*l - 335394*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r - 8. Let n be z(-6). Let q(w) = -2*w**2 - 10*w - 6. Let b be q(-4). What is the derivative of -2*c**3 + n + b - 4 wrt c?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.577334cm?\nAnswer: 0.00005577334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 14) + 0 + (-48 - (-18 + 8))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(-88) + (-278)\/(-2736). Is 0 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10343, -40730, -91369, -162260, -253403, -364798, -496445?\n\"Answer: -10126*a**2 - 9*a - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*d - 55*d + 520 = 0. Suppose 0*k - d = -u - k, -528 = -2*u + 2*k. What are the prime factors of u?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 10:36 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2. Let j be a(-8). Suppose -3*x + j = 5*i, 2*x = -i + 12 - 2. Let o(y) = -y. Calculate the least common multiple of o(-6) and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -987480*l + 1517905 with respect to l.\nAnswer: -987480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -15. Let t = n + 51. Calculate the remainder when 104 is divided by t.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13984436 is divided by 216?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3*z + 12 = z, -n - 3*z = -4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33479344 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: Suppose -5*f = 23 - 3. Let x(q) = 7*q**3 - 4*q**2 - 3*q - 4. Let d(r) = -r**3 + r**2 + 1. Let l(p) = f*d(p) - x(p). Factor l(w).\nAnswer: -3*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.029 - -2.029. What is the closest to 2\/3 in -2, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/4186 and -8\/98189.\nAnswer: 4516694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 63 = 12*a - 7*a, a - 289 = 4*a + 61*h for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/(-6)*(-1)\/(-2). Suppose 45 = -3*d + 11*n, 195*n + 7 = -d + 196*n. Are j and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -278\/449 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*k**3 - 122*k**3 - 107*k**3 + 381*k**3.\nAnswer: 182*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31190290283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2125947 divided by -10.\nAnswer: -2125947\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -237, 2\/15, 0.5, -6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 33*w + 33. Calculate t(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.269 - 1.131. Let f = -3.4 - t. What is the nearest to 0.1 in 3, -0.04, -1, f?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18330.19 meters in centimeters?\nAnswer: 1833019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 948425 and 1562490?\nAnswer: 3215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -0.6. Let a = u + -5. Let d be (2 - (-18)\/(-15))*-5. What is the smallest value in a, -2\/11, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o - 5*o + 95 = 0. Let x = -11.7 + 0.7. Let b = x + 1. What is the second biggest value in o, -2\/7, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 - k**3 - 23*k**3 - k**3 + 8*k**3.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -420*z + 2095. Let j be x(5). Let v(n) = -13*n - 7. What is v(j)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 361286574?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 93*l**2 + 53*l - 148. Determine f(4).\nAnswer: 1552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -6. Let q(h) be the first derivative of 0*h + 1 + 1\/2*h**2. Calculate q(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 8 - ((-4 - -7) + 6)) + 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/30*(31590\/(-156))\/(-135)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2*m + 10 = 0. List the prime factors of (1 - 4\/m)*-18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**7\/1260 - s**4\/6 - 9*s**2. Let x(c) be the second derivative of p(c). Let u(f) = -5*f. Give x(u(j)).\nAnswer: 50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 0*j**5 + 0*j**6 - 24*j**2 + 0*j**7 + j**4 + 0 + 1\/48*j**8 + 0*j**3 + 0*j. Find the second derivative of b(c) wrt c.\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -15. Let y(a) = -a**2 - 5*a - 3. Let h be y(r). Suppose 107 = 4*f - k, -h*f - 3*k + 83 = -k. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnxxnexoxooxo. Give prob of sequence xx.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 5*y**2 + y + 1. Give u(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45561 (base 12) to base 13.\nAnswer: -3307c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 = 10*t + 66*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.504 + -3.5. Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, a: 1, n: 1, y: 2}. What is prob of sequence ya?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*c + 7517 = 8637 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from {l: 1, n: 2, z: 1, e: 1, i: 1, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(6\/5)\/i))\/(i\/i**(-25)) assuming i is positive.\nAnswer: i**(-131\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2 - 1 + 3 + 2*q. Let h(i) be the third derivative of -i**6\/720 + i**4\/12 + 2*i**2. Let w(t) be the second derivative of h(t). What is w(l(f))?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 4*h**2 + 11*h + 3*h**3 + 6 + 5*h**3 - 2*h**3 - 11*h**3.\nAnswer: -(h - 6)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - k + 11 = 0, p = -p - 5*k + 31. Let q be (-20)\/8*p\/(-5). Suppose 11 = 3*v + q*r - 5, -20 = 2*v - 5*r. Is v smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -0.1, 3\/225566 in descending order.\nAnswer: 18, 3\/225566, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v. Let f = 10 + -11. Let o be (-10 + (-1 - -4))*f. Let d(g) = 3 + 4 - o - g**2. Determine a(d(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 275987*o**3 - 118*o - 194 wrt o?\nAnswer: 1655922*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g. Let b = -1715 + 1720. Solve c - b + 1 = g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or -59\/2144?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + 0.2. Let z = -0.33 - 0.07. Let w = z + 5.4. Which is the smallest value? (a) 2 (b) n (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.49 (b) -1654 (c) 10\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 12*c - 122 + 154, 3*u + 4*c + 2 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 19 = 3*q, -392*d = q - 789*d + 400*d - 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-6*sqrt(1216)*1 + -4 + sqrt(1216) + sqrt(1216) + 1 + sqrt(1216) + -2 + sqrt(1216) + 2 + 0)**2)*4 + 2.\nAnswer: 384*sqrt(19) + 19486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 690*h + 685*h - 45 = 0, 2*h + 12 = -v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 81*m**4 - 20*m**3 - 75*m**2 + 30*m + 4. Let s(h) = -162*h**4 + 41*h**3 + 150*h**2 - 61*h - 8. Let b(l) = 15*q(l) + 6*s(l). Solve b(p) = 0 for p.\nAnswer: -1, -1\/9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1105670*h*v**2 + 214*h*v + 1957*h - 17*v**2 - 2*v - 14 wrt v?\nAnswer: 2211340*h - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -57*k. Let o = 7 - 7. Let p be (3 - o)*(-16)\/12. Let f(t) = 7*t. Determine p*l(i) - 33*f(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0)*(46 - 45)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 8*v**2 + 66*v + 14. Let z(a) = 3*a**2 - 31*a - 67. Let w be z(-2). Let k(t) = -5*t**2 - 33*t - 8. Let j(y) = w*k(y) + 4*g(y). Solve j(o) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -365, -540, -715, -890?\nAnswer: -1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/8)\/(4\/(-80)). Suppose 623 = i*z - 297. Suppose -4*p - f = -5*f - z, 3*f - 6 = 0. Calculate the greatest common divisor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 19. Let l be y(-10). Let g(z) = z**2 - 10*z + 19. Calculate the remainder when 48 is divided by g(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(19) - -2*sqrt(19)) - (sqrt(19) - (1 + (sqrt(19) - sqrt(95)\/sqrt(5)))) - (-1 + sqrt(304) + (-4 + -2 + sqrt(304))**2 + sqrt(304)).\nAnswer: -333 + 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(375))\/sqrt(3) - (sqrt(5) + (-3*sqrt(80) + sqrt(80))**2 + 3).\nAnswer: -323 - 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 214 - 210. Sort -2\/7, -11, j in descending order.\nAnswer: j, -2\/7, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-1))\/((-10)\/(-6)*555\/(-185))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 - 23*h + 1. Determine o(-11).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, 28, 96, 190, 310, 456, 628?\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(0*j + j + 2*j)*(-3 - 2 + 4)*(0 - 4 - 2).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 26 - 36 - ((-6 - 4) + (12 - 13))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 453262412 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 527400 rounded to the nearest 10000?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.008165 + -0.008165. Suppose -4*q + 10 = -2*q. Which is the nearest to 2\/7? (a) q (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 0, x - 5*t - 90 = 145. Calculate the greatest common divisor of x and 1880.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.9 (b) -1\/2 (c) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w + 2*w)*(1 - 4 + 2) - w - 5*w + 9*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 + 11*y - 47. Let f(q) = -q**2 + 2*q. Let r(c) = 4*f(c) - v(c). Differentiate r(h) wrt h.\nAnswer: -14*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*j = 41, 29*s - 30*s + j + 11 = 0. Let m be 5*2 - (1 - 0). Suppose 4*p - 4 = -0*p. Solve s*u + m = -p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -2467.\nAnswer: -2466.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 134 = 32*x + 81 - 25, 3*m + 4*x = 10 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -358.33 + 2.1154827?\nAnswer: -356.2145173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -679989994416 minus -0.06?\nAnswer: -679989994415.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-25)\/50)\/((-2)\/12). Suppose -2*v + 1 = -9. Suppose v*f + 11 = d, -d + t = -3*f - 16. List the prime factors of d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 0*w**5 + 0*w**4 + 10*w + 0*w**6 + 7\/6*w**3 + 0*w**2 + 0 + 1\/42*w**7. Find the second derivative of t(l) wrt l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5755385 (b) -0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -15) + -8 - (29 - 10).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101620*u**3 - u + 101624*u**3 + 9*u - 8*u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121231332211 + -202?\nAnswer: -121231333013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110212459 is divided by 91?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 2*t + (-t + 0*t + 2*t)*(-3 + 4 + 1)*(8 - 4 + 4) in the form h + n*t and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 - 2*d + 2. Determine h(6).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 9*b - 6. Let w be l(9). Let i = w - -6. Suppose 0 = -i*c - c - 4, -c = 3*v - 14. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6956966, -6956967, -6956968, -6956969?\nAnswer: -6956970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1997595 and 270?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, 9, -4, -3, -11 in descending order.\nAnswer: 9, 7, 5, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 k when two letters picked without replacement from {o: 1, k: 9, y: 10}?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/7 + 1 + (-726)\/434. Is x < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -3566?\nAnswer: 1\/3566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 29*q**2 - 5*q**2 + (-3 + 1 + 4)*(0*q**2 + 0*q**2 - q**2) as y*q**2 + w*q + r and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 10 + 16. Let d = c + -4. What is the greatest common factor of 63 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1299 + -1297. Which is the smallest value? (a) -2\/87 (b) o (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, d: 14}. What is prob of sequence dd?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*c - 37113, -6*c = -3*c - 4*z - 37131. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250974271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1581*u**3 - 1 + 786*u**3 + 2*u - 5*u**2 + 806*u**3 as v*u**2 + w*u**3 + z + l*u and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.5 + -14. Which is the closest to 0? (a) -1 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, k: 2}. Give prob of sequence ww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154 by 1.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312 and 3016.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -2145?\nAnswer: 2152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 53. Let q = o + 35. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -10 - (5 + -6) - 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -2083.\nAnswer: 7\/2083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 844.0622 centuries in years?\nAnswer: 84406.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3353 in 4, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -251\/3 - -83. What is the second smallest value in g, 1\/5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33 - -15?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18371, 12786, 7201, 1616?\nAnswer: -3969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 times -206.4?\nAnswer: 14860.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132296969?\nAnswer: 7, 557, 33931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0 = 24. Suppose -8 = m - 7*f + 2*f, -3*m - f - v = 0. Is m\/(24\/(-62))*12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -916.6948 to the nearest 10.\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -48 - (-72 - -37)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (11 - (13 - -3)) + 770 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-4))\/(-5)*3600\/2100\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, -4, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/17)\/g**15 assuming g is positive.\nAnswer: g**(-253\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215 + 427. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, 1, -3, -7?\n\"Answer: -4*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1243 + 5123. Is 97 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - j + 20 = 0, 4*j + j - 10 = 2*x. Let u = -5 + 5.1. Which is the nearest to u? (a) 0.5 (b) x (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -r - 5*j, 8*j - 165 = 2*r + 3*j. Let w = r + 492\/7. Solve -2\/7*v + w*v**3 + 2\/7 - 2\/7*v**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(325) + sqrt(325) + 1 + 3)**2 + sqrt(325)).\nAnswer: -2632 - 170*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p**3 + 2*p**2 + 23*p - 57. What is c(2)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (2 + 346) - 0. Sort -3, m, -4 in ascending order.\nAnswer: m, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, g: 1, l: 1, a: 3}. Give prob of sequence alw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2996 + 458 + 13995)*(-k - 2 + 2).\nAnswer: -11457*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 75. Let l = 54600956 - 54600879.999957. Let u = i - l. What is u rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6060752ml to litres.\nAnswer: 0.0006060752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - 20 - ((-109)\/(-7) - (-2 - (-1 - 10))).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/10)\/(138\/575)*18\/(-45).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2654*f + 2635*f + 1881. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -47. Suppose -z + 6*z - 49 = -l, -180 = -4*l - i*z. What is the third derivative of -a**5 - 16*a**2 - 44*a**4 + l*a**4 + 24*a**5 wrt a?\nAnswer: 1380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by 377.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 410, -7 in descending order.\nAnswer: 410, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - y**2 + 4*y + 6. Let k be q(-3). Suppose k*f - 8*f - 40 = 0. What is the highest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/3))**50)**37\/(((f*f**(-1))\/f)**(-26)\/(f**(6\/7)\/((f\/((f*f**(-3\/2))\/f))\/f))) assuming f is positive.\nAnswer: f**(50681\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.07, -53\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 2*g + 4. Let d be x(3). Let p = d - 29. List the prime factors of 626\/p + (0 - (-12)\/16).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/81)\/((-1)\/(-6)))\/(22\/(-36))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1129 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 6:09 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1468 - 1257. Calculate the remainder when u is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 - -41 - -4) + -12 + (0 - -1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-15)*4\/6. Which is the closest to q? (a) 0 (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 n, and 1 u when three letters picked without replacement from rrreurnrrrrrzrrurzur?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*a + 22 = 0, 4*a - 276 = -5*j - 221 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/63)\/(((-42)\/(-288))\/(336\/192))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + -3363)*10\/(-40)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-1\/14))**(-3\/35))**(4\/19))**34)**(36\/5) assuming w is positive.\nAnswer: w**(7344\/23275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6669 divided by 9.\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 11*p**3\/3 - p**2\/2 - 295. Let s(z) = -6*z. Determine s(o(f)).\nAnswer: -66*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1. Let v = 6 - k. Suppose 5*b + 30 = t, v = -4*t + 3*b - 8*b. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m = -6*m - 0*m. Factor -27\/4*r + 3\/4*r**3 + 6*r**2 + m.\nAnswer: 3*r*(r - 1)*(r + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 1:15 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -481, -3, -8 in ascending order.\nAnswer: -481, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7244 (base 13) in base 6?\nAnswer: -201005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95.06 + 95. Let o = 139.06 + -137. Let y = o + q. What is the third smallest value in 2\/19, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.911 hours in days?\nAnswer: 4.704625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtddbvvqqqqvo. Give prob of sequence bvqb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14\/21*(-3)\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0, 5, 5\/4, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 - 3*g + 2. Let n be h(2). Let d = -32 - -23. Let j = d - n. What is the smallest common multiple of 13 and j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/5 and -85\/128.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 232053*l**4*p**2 + 4*p**2 + 93*p - 52 with respect to l.\nAnswer: 928212*l**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o - 26*o + 7579 = -37*o. Solve 7*q - 597 + o = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.87972 and 5.8.\nAnswer: 5.102376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 * -3.1554.\nAnswer: -107.2836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/((-4332)\/(-432)) + (-2)\/(-19). Solve 0 = -2*f - 5*c - 12, w*f - 4*f + 4 = c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/160563 and -67\/18018.\nAnswer: 74180106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/1 + 1 + -1. Suppose 2 + r = f. Let p = f + 0. Solve 7 = -4*j + p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 8*c - 8. Let m be i(-6). Is m\/(-18) + 1545\/27 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -41\/128723?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2. Let x(y) = 0*y + 9*y**2 + 2*y - 2*y. Calculate x(r(v)).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 4. Let g be c(-5). Let l(a) = 13*a + 9 + g*a**2 - 11*a + a**3 + 7*a. Give l(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k - 4. Let l(o) = -13*o - 10. Let i be l(-6). Suppose -4*h - 4*j = -i, -2*j - 6 = -0*j. What is the remainder when a(-6) is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 = 0, 5*t + 36 = -2*r + 10. Let s = 0.42 + -2.12. Let c = -1.9 - s. What is the second biggest value in -0.5, r, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 6*v - 5*v**2 + 7*v)*(2*v + 0 + 0)*(-2*v - 2*v - 2*v).\nAnswer: 48*v**4 - 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1939797 - 15497049\/8. Let t = h - 2661. Calculate the common denominator of 21\/10 + (-1 - -1) and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 29. Calculate the least common multiple of y and 26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -42 + 24 - 1 + 5*a. Calculate the remainder when m(14) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -906, -1316, -1708, -2076, -2414, -2716?\nAnswer: -2976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138 - 32 - 76 - 2*r**2 - 30 + 757*r - 757*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2. Let d(a) = -41*a + 2. Let f(z) = 4386*z - 215. Let i(y) = -21*y - 37. Let r be i(-12). Let n(g) = r*d(g) + 2*f(g). What is c(n(t))?\nAnswer: 3698*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(4\/9)\/((b**1*b*b)\/b*b))\/((b**0*b)\/b**(3\/5)))**(2\/43) assuming b is positive.\nAnswer: b**(-266\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8141185 - -17.\nAnswer: 8141202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12356883 and 58443.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -38, 13\/333, -124?\nAnswer: 13\/333","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7185336 and 16.77?\nAnswer: 7185352.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.1282\nAnswer: -0.02564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/17 (b) -13\/14 (c) 0.02 (d) -2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12730.723 - 12742. Round c to 1 decimal place.\nAnswer: -11.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 363 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/88)\/(-1*2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48055833 = -3*c - 3*b, -3*c + 0*b = 2*b - 48055830. Let q = -8329212 + c. Let s = q + -3489396. Round s to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100518.27 months to centuries.\nAnswer: 83.765225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*-542.\nAnswer: -6504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 15 - 18. What is the units digit of a*(-4)\/3 - (-17 - 185)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-81)\/135 + 40623\/55. What is the highest common divisor of n and 1312?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/600)\/(((-805)\/(-28))\/(-23)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + n = 651 - 3391, -d + 4*n + 670 = 0. What is the least common multiple of (-1 + 24\/9)\/(1110\/11988) and d?\nAnswer: 6174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzbsi. What is prob of picking 2 z and 2 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 + 8*j**2 + 11*j - 19. Let m be h(4). Let -o**2 + 3*o + 5*o - m*o - 4*o + 46 = 0. Calculate o.\nAnswer: -23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 304.7988, -0.4, 2\/5, 4?\nAnswer: 304.7988","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -13*k**2 + 20*k + 19. Calculate z(4).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4306840791?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2395 + 35494. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/60)\/((-720)\/(-450))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 233 - 224. Let o(f) = -f**2 + 10*f - 1. Give o(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -2) + 32\/(72\/9). Let i(x) = x**2 + 14*x + 18. Let u be i(-14). Sort v, 0, -4, u in increasing order.\nAnswer: -4, 0, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1419*l**2 - 27*l - 37. Let b(g) = -1422*g**2 + 23*g + 36. Let i(s) = -7*b(s) - 6*u(s). What is the second derivative of i(p) wrt p?\nAnswer: 2880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.652501 weeks to nanoseconds.\nAnswer: 5837832604800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 272969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 11*c**2 + c + 3. Let z(r) = -20*r**2 - 5*r - 7. Give -5*v(o) - 3*z(o).\nAnswer: 5*o**2 + 10*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9572321?\nAnswer: 11, 870211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -8 + 11 + (-19 - -25)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 2, 126 in increasing order.\nAnswer: -1, 2, 5, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 4*h - 9 = -2*t, 4*t = 8. Let f = 1 + h. Suppose 0 = -n + 5*g - 20, -3*n = -0*n - 3*g + 12. Solve l - 3*m - f - 1 = 0, n = 2*m + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 10*t - 6. Let x(n) = 834*n - 1035. Let m(k) = 17*k - 21. Let r(s) = 99*m(s) - 2*x(s). Give 7*p(c) - 5*r(c).\nAnswer: -5*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or 3013\/136?\nAnswer: 3013\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 117.\nAnswer: -116.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyk when three letters picked without replacement from {t: 6, l: 1, k: 4, y: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118582 and 2110.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-116859)\/12*(27\/(-3) + 5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 6\/(-4)) + 10\/(-8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -7. Let m = -53.344 + 53.144. What is the closest to 3\/4 in -0.1, z, m, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 12. Let d be s(5). Factor 12*q**3 + d*q**2 - q**2 + 6 - 2*q**3 - 21*q - q**3.\nAnswer: 3*(q - 1)*(q + 2)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 462 and 35490?\nAnswer: 390390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 44. Suppose 16 = 3*z - 20. What is the remainder when r is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54518649.\nAnswer: 3, 37, 491159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 429 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 59, 90, 143, 218, 315?\n\"Answer: 11*v**2 - 2*v + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -7\/9837, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/4 (b) 8 (c) -0.1 (d) 0.5 (e) 6 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 * -0.02.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2113265224?\nAnswer: 2, 7, 67, 439, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 460177214 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 ititiwwti. Give prob of sequence titw.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, a: 4, q: 1}. Give prob of sequence ah.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -1\/3*c**3 - 2*c**2 - 6*c + 9. What is n(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17103 + -7083. List the prime factors of s.\nAnswer: 2, 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(170) - sqrt(170)) + sqrt(170))\/sqrt(10) + -4.\nAnswer: -4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.59? (a) -5 (b) 3 (c) 7\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(54\/40) + 60\/(-270). Let w(p) = -p**3 + 3*p**2 + p. Let t(m) = -7*m**3 + 2*m**2 + m + 115. Let a(n) = v*t(n) - 2*w(n). Differentiate a(f) wrt f.\nAnswer: -36*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 606 and 103929?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 888*u + 7. Let i(h) = 11*h + 1. Determine a(y) - 3*i(y).\nAnswer: -y**2 + 855*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17a11 + 4?\nAnswer: 17a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 10 = -2. Suppose 0 = -4*u - o + 20. Let j = u + 11. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**2 + 2784*l + 226352 = 0. Calculate l.\nAnswer: -602, -94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + q = -6, 3165*q = 7*z + 3160*q + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1637684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 - (3\/(-3) + 1). Suppose 384*i - 381*i = 9. Which is smaller: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 3*q**2 - 3*q + 5. Let j(h) = -h**2 + h + 1. Suppose 118*f - 21 = 125*f. Determine f*j(r) - u(r).\nAnswer: -r**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 3:54 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, q: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*i + g, 5*i - 60*g - 29 = -58*g. Let t(z) = 5*z**2 - 12*z + 5. What is t(i)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27440 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.5, 2\/87, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 11:07 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 6:16 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2736) + sqrt(931)*1)**2.\nAnswer: -38*sqrt(19) + 6860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**2 + 33*h. Suppose 0 = -109*w - 154*w + 4234 - 815. Let k(r) = 9*r**2 + 67*r. Give w*y(c) - 6*k(c).\nAnswer: -2*c**2 + 27*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10714.83616 rounded to the nearest one hundred?\nAnswer: 10700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k - 3*k)*(-k + 0 + 0) + (-1 - 2 + 2)*(2*k**2 + 2*k**2 - 3*k**2) - 26*k**2 + 9*k**2 + 22*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 + -126.8. What is the closest to -1 in j, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3)*q)**27\/(q**(-10)*(q\/(q**(-8\/5)*q))\/q))**(-2\/33) assuming q is positive.\nAnswer: q**(446\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4*p = 12, 5*h + 9 = p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 11*u**2 + 15*u + 11. List the prime factors of p(12).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) + sqrt(300)*-1)\/sqrt(5)*2)\/((sqrt(192)\/(sqrt(8) - (sqrt(8) + sqrt(32))))\/sqrt(2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 305 and 1115.00786945.\nAnswer: 1420.00786945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 22 = -3*x. Let d(m) = -m**2 + 12*m - 8. Suppose 3*t = -5*f - 0*f + 51, 24 = 2*f + 3*t. Calculate the remainder when d(f) is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*b**3 - 3112*b**3 + 678*b**3 - 3255*b**3 - 102*b**3.\nAnswer: -5400*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.061 + -365.061. Let p = -10086.87208 - -9721.8720597. Let u = p - l. Round u to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/63 + 18\/(-7) + 2. What is the closest to r in 4, 3\/8, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.3, -4\/3, 0 in ascending order.\nAnswer: -4\/3, 0, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 7 + 22 = 0. Solve -y*z = z - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-3 - -2) - 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11038*b + 15734*b + 5 + 13332*b - 2*b**2 + 6453*b.\nAnswer: -2*b**2 + 46557*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 55713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 97128923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91200265?\nAnswer: 5, 13, 1403081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 917916.\nAnswer: 9179160","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -848 divided by 275?\nAnswer: -848\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**4\/4 - 19*c**3\/3 - 37*c**2\/2 - 54*c + 2017. Calculate v(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - f - 17 = -2*y, -3*y + 5*f = 19. Let j = 85 + y. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.52 rounded to 1 dp?\nAnswer: -9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -13. Let n = -368 - -366. Which is the nearest to -1? (a) -1 (b) t (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2016 + 4?\nAnswer: 201a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-261)\/(-36))\/(-29) + 0\/3. Suppose 2*i = i + 53. Is i equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 823.4984l to millilitres.\nAnswer: 823498.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -199510749718 + 1144\nAnswer: -199510748574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, y: 4, x: 3, b: 3}. What is prob of sequence ybx?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5 + 7. Let q = 75 + -77. Let g be (r\/(-6))\/(-1*(-3)\/q). Which is the third smallest value? (a) 0.5 (b) 5 (c) 4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 9095729832.28 and -33.\nAnswer: 9095729799.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-260428)\/1092 - (-2)\/13. Let u = p + 233. Calculate the common denominator of u and 2 + 27*(-3)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 7*y + 5. Sort -2, 12, y, -5 in ascending order.\nAnswer: -5, -2, y, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.4966 to one decimal place.\nAnswer: -9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/9 + ((-6)\/(-1))\/(-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3331 - -19795. What is the ten thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 74.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*((sqrt(245) + 1*sqrt(245)*-5 + 0)*-1 + -5))**2.\nAnswer: -252000*sqrt(5) + 3550500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(165)\/sqrt(5) - sqrt(297)\/(sqrt(9)*-1))\/(sqrt(6)\/sqrt(2)*-4 - (sqrt(3) + sqrt(3) + (2*sqrt(108) - sqrt(108)))).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from dsudussjussk.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -52 - (-1 - 0)\/(-1). Let f = v + 423\/8. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35586730?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0 + 0)*((2 + 4 - 3)*(-2*i**3 + 2*i - 2*i) - i**3 + 3*i**3 - 3*i**3 + 5*i**3 + i**3 - 4*i**3)*(4*i - 2*i - 3*i).\nAnswer: 5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556111*s**2 - 556932*s**2 + 1112910*s**2.\nAnswer: -133*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.59 + 109.59. Let s = 84 - u. Let x = s - -24.0011. What is x rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9849997*w + 6. Let g be j(2). What is g rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 231224118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -41863 in descending order.\nAnswer: 3, -5, -41863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pagoj. Give prob of picking 1 o, 1 a, and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 1. Let j(a) = -2*a - 1. Let s be j(-2). Suppose -h + s = -0*h. Let l be q(h). Sort 0, l, 8.\nAnswer: l, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 575226.3nm?\nAnswer: 575.2263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 207*b - 231. Let j be h(3). Calculate the highest common divisor of 20 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2682.818 + -2680. Let x = j - -0.182. Sort -4, 5, -7, x in descending order.\nAnswer: 5, x, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 12:16 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(1\/4)*q*q)**26*q\/q**0*(q**10*q)\/q assuming q is positive.\nAnswer: q**(243\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (3 - 2) + -1 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*o + 52*o - 33 = 3*d, -4*o + 3*d + 27 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**25*(m*m\/((m\/(m\/(m*m**20)))\/m))\/m assuming m is positive.\nAnswer: m**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**4\/4 + 7*c**3\/3 + 2*c**2. Let o(u) = 2*u - 5. Suppose -f = -2*f + 4. Calculate f*r(j) + 11*o(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 10:41 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/2)\/((-1)\/(-2)). What is the units digit of (-6)\/o*120\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*m - 4, -11 = j - 2*m - 25. Solve 0 = -0*f - j*f - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 73*m + 388. Calculate the remainder when 343 is divided by j(6).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6908204t in grams?\nAnswer: 690820.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 - 77. Let h = -13 - -12.6. Which is the second biggest value? (a) -1\/2 (b) h (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 1004270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 + 3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u**3 + 0*u**3 + 0*u)*(5*u**2 + 8 - 1 - 8).\nAnswer: 5*u**5 + 4*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h - 5*c - 97, 2*h + 239 = 5*c. Let w = h - -16. Let u be (-1)\/(-2*4\/w*-3). Solve u - 29 = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -348*f**2. Let g(j) = j**2. What is v(g(i))?\nAnswer: -348*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28967, -29040, -29113, -29186, -29259?\nAnswer: -29332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815099.\nAnswer: 17, 47947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -7, 2\/9, 3 in decreasing order.\nAnswer: 3, 2\/9, -7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12150 (base 7) to base 8.\nAnswer: 6143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7315173 is divided by 7315143?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 1) + 3 + 1 + 0. Let n = -4 + 6. What is the third derivative of -3*f**2 - f**2 + n*f**u + 0*f**2 wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/10)*c**(-7)*(c\/c**2)**(-8\/5))**(3\/11))**(-37) assuming c is positive.\nAnswer: c**(5661\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -1920\/119 and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 + -2?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3804 - -5786. What are the prime factors of l?\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107 + -105. Solve -16 = -p*z - 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -51703b?\nAnswer: -51703c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 1. Let b be a(-2). Let j be (6 - 24\/2) + (7 - -2). Let w be -14*(j\/(-18) + 11\/(-33)). Solve w*x - b*x + 20 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 27, 0, 81412 in increasing order.\nAnswer: 0, 4, 27, 81412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -27. Let x be (48\/(-56)*-7)\/(3 - 0). Sort x, 40, l in ascending order.\nAnswer: l, x, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*p + 2*p + 6, -3*p - 2*w = -6. Suppose a + 69 = 5*j, j - 4*a - 38 = -p*j. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 8:27 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -2, 5, 12, 19?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 84, -2.\nAnswer: -5, -2, 3, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/60444 and -61\/438.\nAnswer: 60444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -148 + 660. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4 = -o - 2*j, -j - 2 = -0 - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27093187354 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/26*(-4)\/(-6)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-48))\/(4\/16)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7670794 and -0.3.\nAnswer: 7670793.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -661390 at most as big as -661393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 16905*z + 169147. Determine m(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375*w - 295*w = 80. Let y(a) = 14*a**3 - 9*a**2 + 5*a + 2. Let b(v) = -4*v**2 + 3 + 7*v**3 + 3 - 5 + 2*v. Let m(n) = -5*b(n) + 2*y(n). Determine m(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.70041mg to grams.\nAnswer: 0.02070041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168446 by -2.\nAnswer: 84223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-nine halves of a micrometer?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a factor of 81705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2\/11, -0.3, 2 in decreasing order.\nAnswer: 2, 2\/3, 2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*v + 14. Which is the closest to v? (a) 3 (b) 3\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -2\/5, 282.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a**2 - 36*a**2 - 11*a**2 + 8*a**2.\nAnswer: -62*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19972?\nAnswer: 2, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174 + 4*m**3 - 174 + 18*m**2.\nAnswer: 4*m**3 + 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-36 + (-17 + 27 - -12))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d - 18*d = -68*d + 189 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**2 + 61121326*x + 933954122999569 = 0?\nAnswer: -30560663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 11:37 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -59140.216 to the nearest 100.\nAnswer: -59100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4789 = -2*z, -u - 4*z + 589 = -382. Is u a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*q**2*x - 2*q**2 - 57*q*x**2 - 34*q*x - 14899*q + 2*x**2 + 6 wrt x.\nAnswer: 3*q**2 - 114*q*x - 34*q + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g*i*q + 42*g*q**2 - 6*g - i*q**2 - 3*i wrt q?\nAnswer: 84*g - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 1\/5, 107, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2154351642.\nAnswer: 2, 3, 41, 8757527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 - s. Let b be i(1). Suppose 0*v - 10 = -5*d + b*v, -d = 4*v - 24. Let x be (1\/3)\/(16\/(-3)) + (-7425)\/(-3600). Solve d = x*p - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**7\/420 - a**6\/120 - 4*a**3\/3 + 3. Let m(n) be the third derivative of y(n). What is the third derivative of m(j) wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.229487 + 11.23. Round s to 5 dps.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) -12\/11 (b) 2 (c) -167.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 bigger than -5\/1817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-22))\/(329\/(-25333)). Solve -12*a + 32 = j - r*a, 34 = 2*j + 5*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69\/14 + 17\/7. Put 2\/3, a, 8\/5 in decreasing order.\nAnswer: 8\/5, 2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 180, 3\/7, 2, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20154307 is divided by 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6306356 take away 5534?\nAnswer: 6300822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -1\/31449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a - 37. Let x be o(-8). What is the closest to 0 in x, 1\/4, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*t - 89*t - 42 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x + 42 = 2*k, -5*x = 0. Suppose -5*j = 5, 3*l - 2*j - k - 47 = 0. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*t - 1710 - 68 = 0 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704919682?\nAnswer: 2, 73, 4828217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 28. What is s(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(15) - sqrt(15)*-2))\/((sqrt(10)*-2)\/sqrt(2)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**5\/20 + y**4\/3 + 7*y**3\/3 + y + 678. Calculate c(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcnygnyygg. What is prob of sequence cn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 4 + 4*y - 5 + 3. Let n be u(3). Suppose -13 - 2 = 3*l. Sort n, l, 1.\nAnswer: l, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 59 + 2*o**2 - 3*o - 2*o + 66. Is l(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -204*b**2 + 1819*b - 5442. Give n(3).\nAnswer: -1821","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 13*a + 33. Let k be f(4). Let o = k - -36. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*h**5 + 128*h**2.\nAnswer: 2580*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 303190 and 3130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 46. Suppose a = -3*n - 5*q - 0*q + 148, -2*n + 101 = q. Is n a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (9 - 44)*(-409596)\/290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3162 and 408?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/9)\/4*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95372 divided by -422.\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -24*h + 577. What is j(25)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2476? (a) -5 (b) -0.5312 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 290258455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -11 - -17 - ((-8)\/4 + -3). Let j(r) = -r**3 - r**2 + 3*r - 2. Let v be j(2). Let y = v + c. Solve -6 - y = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o - 2. Let f be w(-7). Let a(d) = 2169*d + 9569. Let i be a(-4). What is the highest common factor of i and f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.02, 0.1, 0.09, 31, 5, -17?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -12532?\nAnswer: -12531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30918192353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-30)*-2*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 1721268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 14*n = -16, -4*n - 16052 = -4*v. Calculate the highest common divisor of 39 and v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4975 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.4829 + 12.5. What is f rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83478353, -166956702, -250435049, -333913394, -417391737, -500870078?\nAnswer: -584348417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + m + 2. Suppose -4*b + 3*r = -7, 0*b + 5*b = 4*r + 9. Calculate the remainder when m is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16640620 divided by -1156?\nAnswer: 14395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*f - 140*f - 12 + 12 - 46*f.\nAnswer: -122*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -132, -84, 4, 144, 348?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 20. Let i(b) = 4*b + 41. Determine 6*i(p) + 11*j(p).\nAnswer: 2*p + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757853247 to the power of 1\/2, to the nearest integer?\nAnswer: 41927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 5*z**2 + 8*z - 4. Let i be t(6). Let x be 6\/i*2*2. Suppose -4*a + 94 = 3*f, -3*f - x*a = -6*a - 87. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a60 - 27?\nAnswer: 1a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 295568\nAnswer: -295568.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/693 - 4\/(-14).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*f*i*n**3 + 831*f*i*n**2 + 14*f*i*n + 2*f*n**3 + 13*f*n + 248*i*n wrt n?\nAnswer: 576*f*i*n + 1662*f*i + 12*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.93 + -0.43. Let d be 76\/(-20) + (-2)\/10. Let i be 2 - d\/(-3) - 1. What is the smallest value in 0, i, j, 1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 18*f**2 + 3*f**3 - 11*f**2 - 2 in the form z*f**3 + j*f + a + p*f**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.18 - 3.18. Sort 7\/8, -5, p, 1\/7 in decreasing order.\nAnswer: 7\/8, 1\/7, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-three fifths of a micrometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -113*f - 2. Let g be q(-2). Does 16 divide g\/21*90\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00111671656 rounded to 6 dps?\nAnswer: -0.001117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**4\/12 + 4*r**3\/3 - r**2\/2 - 5*r. Let h be p(5). Let z = h + 7. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 - (0 + (-33)\/6) and -23\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6 - 3 + j + 10*j**2 + 8*j - 44906*j**3 + 1. Let u be p(-6). Suppose -3*r = 2*o - 29099994, r + o - 3*o = u. What is r rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(7) - sqrt(28))*-4 + 1 - -5*(((sqrt(77) - sqrt(77)*1)\/sqrt(11))**2 + (sqrt(28) - -2*sqrt(28))**2))*-3.\nAnswer: -3783 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 4*d + d. Let a = -7 - d. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/9)\/(m*m**(1\/11)*m))\/(m**(-2\/5))**(6\/23)*(m**(1\/2))**(8\/7)\/((m*m*m**(-1\/7))\/m*m**3\/m) assuming m is positive.\nAnswer: m**(-305059\/79695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a123 - -199?\nAnswer: 5a300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9910338 litres?\nAnswer: 991.0338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (275\/55)\/(1*-1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*o = 4*o + 243, 2*m = -5*o + 162. Let p = m + -46. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 944612008?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (320\/35)\/((-362)\/1267)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -8) + -7 + 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -8*j - 12. Suppose -5*r - 15 = -2*r. Let q be v(r). Suppose -4*t + 0*t = -8. Solve 3*o = t*h + 1, -o + q = -5*h - 2*o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + 126\/(-45).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 8. Let i be g(-9). Let k be ((-18)\/(-30))\/(i\/5) + 8. Solve -15 = 5*b + k, -3*b = 5*h + 22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 822*c**2 + 516*c - 2. Let b(f) = -813*f**2 - 515*f + 2. Let d(z) = 5*a(z) + 6*b(z). Find the second derivative of d(l) wrt l.\nAnswer: -1536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + s = 4, 2*s - 20 = -3*s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13.5, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 at least as big as -425\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2493736069.\nAnswer: 11, 17, 31, 39107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71 and 5041?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z**3 - 39*z**2 + 48*z + 78. What is the tens digit of o(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -309 + 3961*v**2 + 59 + 53*v - 310 - 401 - 3962*v**2. Let m(d) = -d. Let h(k) = 36*m(k) - 4*p(k). Determine q, given that h(q) = 0.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1366 = 4*l - 6*q + 4*q, -2*l = 2*q - 668. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 8 + 8)*(o**2 + o**2 - 3*o**2).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/2)\/80*(-8)\/(-3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujdd when four letters picked without replacement from {x: 1, u: 5, j: 4, d: 2, c: 4}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2301 - 2301 - 2*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 2*z - 5*z**3 - 427 - 5*z**3 + 429. What is u(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4*y - 36, -4*y - 6 = -r - 22. Solve 8 = -3*d + x, d - r*x - 2 = -1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1437*w**3 + 8*w + 9368*w**3 - 7935*w**3.\nAnswer: -4*w**3 + 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 44. Calculate the lowest common multiple of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x + 2*x**3 + x**2 - 4*x - 5*x as m + j*x + u*x**3 + r*x**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 9. Let y be p(-2). Let s be 6\/4 - y\/(2 - -26). Is s bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 5179*h**7\/42 - h**6\/15 - 59*h**4\/12 + 20*h**2 - 3585*h. Find the third derivative of w(j) wrt j.\nAnswer: 310740*j**2 - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 3\/(-5) - (-196)\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 3, p: 6, d: 4}. Give prob of picking 2 n.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -15*j - 5. Let p = -2 - 0. Is b(p) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-6)*((-1)\/268)\/((-42)\/(-48))\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 103, 209, 331, 469, 623?\n\"Answer: 8*d**2 + 82*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 + 2*h - 2. Let o = -2 + 4. Let k be 5 + o*(-2)\/4. Let i = 59 - 37. Let l(n) = 16*n**2 - 11*n + 11. What is i*d(b) + k*l(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 39. Let n be i(7). Solve 0 = 3*y + 2*y + n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 7. Let t be u(3). Find the third derivative of -53*o + 53*o + 20*o**2 - t*o**3 wrt o.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/24*(-6)\/(-4). Let p = 0.139 - 0.639. What is the closest to d in 2\/21, -3\/4, p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7424489*g - 7424489*g - g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 u when four letters picked without replacement from {q: 2, u: 1, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1269 greater than -1235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-6)*2 - 18\/(-27). Which is the closest to 1.1? (a) r (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -1814031024617.9.\nAnswer: -1814031024618.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 78482967\nAnswer: -1\/78482967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*b = -12, 2*l - b = -2*l - 17. Suppose -6*x + x = 15. Sort -2, l, x in increasing order.\nAnswer: l, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630 = r - 6*d + 7, -3*r + 1781 = 4*d. Solve 600*v - 4 = r*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 8*j**2 + 2*j + 16. Give p(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -147\/22, 1\/31, 0.11?\nAnswer: -147\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -11*i**4\/2 + i**3\/3 - i**2 + 5*i + 1999. Let r(l) = 1. What is n(f) - 5*r(f)?\nAnswer: -22*f**3 + f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/692830 and -36\/65?\nAnswer: 9006790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62595\/8 + 7812. Let l = -29244610\/6909 - -372\/2303. Let k = l - -50677\/12. What is the common denominator of g and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4561, 20385, 46759, 83683, 131157, 189181, 257755?\n\"Answer: 5275*f**2 - f - 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02851 and 99438?\nAnswer: 99438.02851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 4\/7 (b) 4 (c) 47 (d) -2\/3 (e) -0.5 (f) -8\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 + 50*f**2 - 3*f - 68. Let a be r(-25). Solve 0 = -4*k + 7*q - 15, -5*k - 9*q = -a*q - 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - 13. Let r = -30 - m. Let t(g) be the second derivative of 11*g**3\/6 + g**2 - g. Let w(u) = -5*u - 1. Calculate r*t(a) - 13*w(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-2)\/(-4))\/(10 - 34000\/3360).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 8 - 15*n**2 - 17 in the form l*n**2 + d*n + a and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p**2 + 19*p + 1. Let j(u) = -u**2 - 4*u. Let v(m) = -2*d(m) - 11*j(m). Let s be v(5). Suppose -7*t = -s*t - 84. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14279\/3 - -14293\/3. Let a(g) be the third derivative of 10*g**2 + 0*g + 7\/12*g**4 + 0 - u*g**3. What is the derivative of a(c) wrt c?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-2)\/3*-3. Suppose -b = 132 - 2. Find the common denominator of -73\/12 and z + b\/4 - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 - -2 - (-223)\/70 and -5\/16.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 9\/9154?\nAnswer: 9\/9154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3. Let b(j) = -j**3 + 18*j**2 - 18*j. Let v be -4 - (-2)\/((0 + -3)\/(-12)). Let i(q) = v*w(q) - b(q). Calculate i(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61149383551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 j, 1 p, and 1 n when four letters picked without replacement from ppjetnlt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-36)\/(-30)))\/(3\/9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*s + 120*s + 115*s + 61*s + 108*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3878712927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(322\/(-190) - (-927)\/515)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100223 = 100223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + -10555?\nAnswer: -10595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32038561*l**2 - 1329967*l + 2?\nAnswer: 64077122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, -10, -16, -22, -28, -34?\n\"Answer: -6*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 937680790 to the nearest one hundred thousand.\nAnswer: 937700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5054655 + 5?\nAnswer: 505465a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5\/6 + 11*l**4\/6 + 25*l**3\/6 + 13*l**2\/6.\nAnswer: -l**2*(l - 13)*(l + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1430 + 157 = 23*p. What is the smallest common multiple of 345 and p?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-850)\/(-170) + ((-56)\/3)\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195459595 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007467 rounded to four dps?\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, n: 2, h: 7}. Give prob of sequence hhh.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 4:12 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28.5 * -0.05.\nAnswer: 1.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -718.68?\nAnswer: -715.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*w. Let v be (-24)\/(-10) - (w + 2). Solve 0 - v*o**3 - 2\/5*o**4 + 2\/5*o**2 + 2\/5*o = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1760\/(-50))\/(-11)*(-31)\/62\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -464? (a) 0.4 (b) -2.7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0937586486 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-45) + (-14)\/18. Let i be -2 - f - (-279)\/3. What is the greatest common divisor of 23 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29835 is divided by 112?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.081 * -1764.108.\nAnswer: 142.892748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1299 - 1425 = -6*w. Solve -w*l + 63 + 0 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73299888*a**4 + 5917*a**2 + 32*a - 7?\nAnswer: -1759197312*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 20, 3 + 4 = 2*f + h. What is the least common multiple of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 954.2273 millilitres in litres?\nAnswer: 0.9542273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 less than -16.52?\nAnswer: 11.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(648) - (0 + sqrt(2)*-3)) + (-3*(sqrt(22)*-1 - sqrt(22)))\/sqrt(11))*3*1)**2.\nAnswer: 65610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.65423 rounded to 0 dps?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cb8 (base 14) to base 10.\nAnswer: -5258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 482984*h**4 + 3*h + 52755 wrt h.\nAnswer: 5795808*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 (base 3) in base 4?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)\/(h*h\/(h\/((h\/((h\/(h**3\/h*h))\/h))\/h)*h)*h*h))\/(h**1\/h)**(-1\/5))**(-35) assuming h is positive.\nAnswer: h**245","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*y = 5 - 0, -r = y - 3. Suppose r*d + 1 = -0*d + n, 5*d - 15 = -n. Solve -12 = d*q - 3*w, -16 = 4*q + w - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + y - 4*y - 3, 4*s + y + 6 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 31 + 17. What is the remainder when 35 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9543, -38205, -86047, -153123, -239487, -345193?\nAnswer: -470295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*m - 1. Let q = 2 - -17. Solve q*l**3 - 11*l**4 + l**5 + 16*l + 1 + 4*l**4 - m - 25*l**2 = 0 for l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-32) - (-19)\/4. Suppose i*u = -3 + 18. What is the second smallest value in -0.3, 4, -0.05, u?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 143 = -4*h, -3*c + 29 = -0*h + h. What is the remainder when 263 is divided by h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21 - 30*c**3 - 4*c - 16 - 3 wrt c?\nAnswer: -180*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-38)\/5 + 5. Which is greater: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -31*m**3 - 24*m**3 + 56*m**3 - 2*m - 2. Let s(f) = f**2 + f. Give -k(i) - 2*s(i).\nAnswer: -i**3 - 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {s: 1, r: 9, d: 10}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -1046.\nAnswer: -11\/1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Let g(n) = 11*n**3 + 2*n**2 + 2*n + 1. Let k be g(-1). Let l = -13 - k. Which is the biggest value? (a) -0.2 (b) f (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13269143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + 2.2. Let w = r - 3.08. Let y = w + 0.0800015. What is y rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81246.874 times -0.1\nAnswer: 8124.6874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1861.6 - -1967. Round g to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and 0.16456?\nAnswer: 3.62032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x + 5. Let u(r) = 4*r + 7. Let f(l) = 3*p(l) - 2*u(l). What is f(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -8*l**3 - 6*l**2 + 4*l + 1. Let v(c) = 15*c**3 + 11*c**2 - 7*c - 2. Let z be 3\/(15\/(-4)) - (-236)\/20. Determine z*a(o) + 6*v(o).\nAnswer: 2*o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*2*6)\/(6*sqrt(324) - sqrt(9)).\nAnswer: 12*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3328063.\nAnswer: 3328063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*t = 2*k - 33*t + 2, 1 = -t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {n: 1, q: 1, u: 3, f: 3, s: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 less than 77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 13) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*d - 3*x, 2*d - 3*x - 17 = 2*x. Let g(k) = -2*k + 3 - 2*k - k**3 - 4*k**2 - 7. Does 5 divide g(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 9*u + 10. Let p be 71*-2 + 2 + 0. Let i be (-1)\/(-3) - p\/21. Is n(i) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + g**2 - 4*g - 1. Let s(h) be the third derivative of h**6\/40 + h**5\/20 - h**4\/2 - h**3\/3 + 6*h**2 + 9*h. Give 4*s(a) - 11*v(a).\nAnswer: a**3 + a**2 - 4*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 298?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 10)*(-2 + 1 + 0 - 15*u).\nAnswer: 165*u + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2539, -5078, -7627, -10192, -12779, -15394, -18043?\nAnswer: -20732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by -1.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/21))\/p**(-2\/5))**5 assuming p is positive.\nAnswer: p**(157\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i - 4 + 4)*(-2 + 2 + 1) + i + 0*i - 4*i + i + 1 - 1 + 83 + 3583*i - 3728*i - 84 as z + d*i and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 37\/4*8\/(-6 - -8). Solve -4*j = 4*v - 28, -4*v - 14 + h = 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 + -142858?\nAnswer: -142875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 12 = 2*c + 32*u - 0*u - 38, 4*u - 2 = 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 2*g + 2. Let x be p(-3). Suppose -x = -4*r + 233. Suppose 3*l = 5*l - r. What is the remainder when l is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 5.\nAnswer: -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 2 = 3*k - 0*z, 8 = -2*k - 3*z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 288691500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -160324667 + 160324632.1999591. Let k = -34.8 - b. Round k to 6 decimal places.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 x, and 1 w when four letters picked without replacement from {g: 7, w: 3, d: 1, x: 6}.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116910034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + 50*y**2 - 44*y - 27. Calculate the remainder when 825 is divided by t(24).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3751, -7508, -11265, -15022, -18779, -22536?\nAnswer: -26293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (102\/(-217))\/(-3) + (-4)\/14. Is 0 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*3\/2 + 3. Let d(h) = h**2 - 8*h - 30. Let l be d(6). Let q = l - -291\/7. Which is the biggest value? (a) q (b) s (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (57*t**3 - 251*t**3 + 436*t**3)*(-4*t + 5*t - 2*t) in the form c*t**3 + i*t + w*t**4 + b + r*t**2 and give w.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 27*n**2 + 3*n + 81. Let u be w(-27). Sort -1, -5, -19, u, 1\/3 in ascending order.\nAnswer: -19, -5, -1, u, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 51315*v + 307859. Determine y(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(-1 + 8*s**5 - 6*s**5 - 13) + 0 + 0 + s**5.\nAnswer: -5*s**5 + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 18 = -2*l. Suppose -11 - l = -r. Suppose 166 = -3*u + 5*u. What is the remainder when u is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = p + 4*n, 4*p - 375*n + 13 = -376*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 54 (b) 5\/6 (c) -3 (d) 75\/58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479*j - 1304 + 116 = 182*j. Solve -4*v = -7*v + 2*t + j, v + 27 = -5*t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4988*o + 9969*o - 4981*o + 47*o**3.\nAnswer: 47*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**2)**(6\/23)\/(f**(1\/5)\/f)**(3\/5) assuming f is positive.\nAnswer: f**(726\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o + 15*o + 6*o - 24*o - 4*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 g when three letters picked without replacement from {z: 4, g: 6, b: 10}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 3, -186, 63\/8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 186 or 373\/2?\nAnswer: 373\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a2 (base 14) in base 10?\nAnswer: -1514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-12)\/54*405\/36*(-84)\/(-665).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3897*a - 3 + 1986*a + 1944*a + 4. Calculate l(-2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + (2 - 11))\/(((-10)\/61)\/10).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78443, -78385, -78225, -77915, -77407?\nAnswer: -76653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*a**2 + 23*a**2 - 9*a**2 + (-2*a + 3*a + 0*a)*(2 - a - 2).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 2:03 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -949c (base 13) in base 8?\nAnswer: -50142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, 5, 1, 2 in descending order.\nAnswer: 5, 2, 1, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1470187 or -6?\nAnswer: 1470187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 52. Let j be l(0). Suppose -4*d + 25 = -g - 79, j = 2*d + 5*g. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 203 + -203. Let x be 16\/(-10) - 2\/5. Let g = -1 - x. Solve v + g = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 13 = 332. Solve 10 = -c + g + 4*g, u = -5*c + 4*g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6 + 6 + 616\/(-105)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58*b**5 + 42*b**5 + 66*b**5 + (-2*b**3 + 5*b**3 - 2*b**3)*(2*b**2 - 2*b**2 + 2*b**2).\nAnswer: 168*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2712 divided by -1356.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, j: 2}. Give prob of picking 3 l.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 772*f**3*o**3*y - 2*f**3*o**2*y - 15*f**3*y**3 + 6*f**2*o**2*y - 12826*o**3*y**3 - 2*o*y**2 wrt y.\nAnswer: -90*f**3 - 76956*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 21*x + 5 + 21*x - x + 4. Suppose -3*i - 148 = -4*i + 4*f, 5*f = -4*i + 592. Calculate the remainder when i is divided by v(1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -22 in ascending order.\nAnswer: -22, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 116*m + 159. Let c(o) = 117*o + 160. Let s(r) = 3*c(r) - 2*u(r). Find the first derivative of s(z) wrt z.\nAnswer: 119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7170886616 - 1.3.\nAnswer: -7170886617.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 932 is divided by 464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2 + 22*d - 20 = 0 for d.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 14\/4*200\/35.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -581 - -588. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-137*n + 59*n + 38*n)*(-20*n - 12*n + 34*n) to the form l*n + t*n**2 + b and give t.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - s**2 + s + 3. Let d be o(-2). Solve 2 = l, -t - 14 = 3*t - d*l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 11*o + 21. Let a be n(8). Let l(t) = t**3 + 6*t**2 - 9*t - 9. Let k be l(-7). Suppose 19 = -3*d - k. Put a, -5, d in decreasing order.\nAnswer: a, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5164, 10326, 15492, 20662, 25836?\nAnswer: 31014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 4*x + 1. Let n be s(5). What is the derivative of 9*r + 2 - n - 5*r wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**3\/3 - 45. Let g(x) = -3*x**2. Calculate a(g(r)).\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(11\/4 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331096223?\nAnswer: 19, 173, 263, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/4)\/(((-8)\/(-100))\/((-1)\/5))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/(97\/(-97))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -292 + 295. Suppose -b*h - 3*z + 108 = 0, -2*z = 14*h - 17*h + 128. Is h < 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 126518?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10201*q**2*z - 515*q*z - 16412*z + 54 wrt q.\nAnswer: 20402*q*z - 515*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-312208)\/(-10270))\/(2\/2*4)?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.182 - -17.818. Put 0.4, 1\/3, 1, k in decreasing order.\nAnswer: k, 1, 0.4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/5 + 14*h**2 + 584*h\/5 + 1344\/5.\nAnswer: 2*(h + 4)*(h + 7)*(h + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -268, -265, -252, -223, -172, -93?\n\"Answer: k**3 - k**2 - k - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -271 (b) 276 (c) -4\/3 (d) 1 (e) 0.2 (f) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 12 = -2*z, -z - 4 = t - 2*z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*a - 16198 = 13550, 4*a = -b + 29804. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -654\/5 - -130. Let y be (-8)\/48 - 4\/(-6). Let a = 2.1 + -2. What is the nearest to a in -0.2, t, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4\/5 + 2\/5*v**4 + 2\/5*v**2 + 6\/5*v**3 - 6\/5*v = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -8*t + 15*t - 10*t, 12*t = 2*g + 50 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**6\/20 - q**5\/30 - q**4\/24 - q**3\/3 + 3*q**2. Does 18 divide s(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -52?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1724 - -2720. What is the smallest common multiple of q and 6?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.3436 + -2.34. What is m rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1832, 1576, 1320, 1064?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 618*y**2 - 8*y - 18. Does 95 divide c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s + 24*s = -875. Is s a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1779542 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/2 + (-11)\/(-22). Let y be 3\/s - 8926\/(-4). Suppose 0 = -5*c + 884 + y. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 11) to base 8.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, p: 1, x: 2, h: 3, l: 4}. Give prob of picking 1 v and 1 l.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*a**4*t**2 + 2808460*a**3*t**3 - 1381293*a**2*t**3 + 22*a**2*t**2 wrt a.\nAnswer: -456*a*t**2 + 16850760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 - 12*q + 0.\nAnswer: -12*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by 137662?\nAnswer: -45\/137662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 769294759 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 11785993*h**2 - 2 + 41*h - 2*h**3 - 11785990*h**2 as n*h**2 + f*h**3 + c*h + o and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 37*r - 69. Let y be x(2). Solve -2*k + y + 3 = -t, -5*t = -k + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 4, -5, -0.4, -140, -2 in ascending order.\nAnswer: -140, -5, -2, -0.4, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4, 2*w - 23 = 5*s. Suppose -1012 + 2740 = w*c. Does 24 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w + 4. Let b be (60\/24)\/(2\/4). Let s(q) = 2*q - 1 + q**2 - b + 1. Let k be s(-4). Determine r(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2648794 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224231 and 6829249?\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjg when three letters picked without replacement from ojjqogojjqjgqjgjoq.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590819 divided by 11?\nAnswer: 235529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypypyyyp. What is prob of sequence ppp?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 247*a**2 + 1222*a + 2889. Calculate h(-242).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 296299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -119*f - 5*f**3 + 242*f - 119*f in the form x*f**3 + b*f**2 + c*f + l and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 2999580*j**2 + 449874008820*j.\nAnswer: 5*j*(j + 299958)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 + 32 + 12 - y + 24 to the form f*y + k and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 11 - 8 - -27 - (-8 - 1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 87. Suppose 4 + w = x. Let y = x + -20. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (-38 + 17 + -39).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -504*r**5\/5 + 914*r**4\/5 - 312*r**3\/5 - 102*r**2\/5 + 4*r\/5 = 0. Calculate r.\nAnswer: -2\/9, 0, 1\/28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-10) + (-3)\/(-15). Suppose -3*u - 1 = -5*p - i*u, 16 = 2*p + 4*u. Solve -23 = -2*y + p*j + j, 0 = -j - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 573 and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 826156 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10602 divided by 31.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 418 + -417. Put -18, i, -4 in decreasing order.\nAnswer: i, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1968120 divided by 693?\nAnswer: -2840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 1, 9, 7.\nAnswer: -4, -3, 1, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4) - 1)\/((-2)\/(-20)). Let g be (-52)\/(-104) - i\/2. Solve -3*x = g*x + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 3 (c) 11\/6 (d) 1\/5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -250?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*1*12\/8. Let t = d - -5. Let u(m) = 8*m**3 - 2*m**2 - m. Calculate u(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3801, -3799, -3795, -3789, -3781, -3771?\n\"Answer: h**2 - h - 3801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 11 - 24. Let a(g) = g**3 + 9*g**2 + 11*g + 4. Let f be a(h). Let z = f - 16. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42 and -902394.\nAnswer: -37900548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20572.\nAnswer: 2, 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 93*g + 830. Give h(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55452 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -150*s - 54. Let p be i(-5). Suppose -p = -60*w + 54*w. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8848082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 457083 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*d = 48*d + 46 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(1100) + (sqrt(1100) - (sqrt(1100) + 1)) + sqrt(1100)) - sqrt(1100))**2 + -2 + (1*(sqrt(704) + 0 + sqrt(704)))**2 + 2)*-3.\nAnswer: -90960 + 600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 253 = -8*u. Let f(k) be the third derivative of -k**5\/15 + 13*k**4\/24 - 13*k**3\/6 - k**2. Let q(l) = l**2 - 3*l + 3. Give u*q(y) - 6*f(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l, 5*s + 7*l = 10*l + 50. Suppose -s*c = 2*c - 348. What is the remainder when c is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}