diff --git "a/data/dm_maths/full_data/1607_11255.jsonl" "b/data/dm_maths/full_data/1607_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1607_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let s(y) be the third derivative of -y**6\/120 + y**5\/12 + y**4\/24 + y**3\/3 + 4*y**2. Calculate s(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -151, -148, -149, -148, -139, -116, -73?\n\"Answer: p**3 - 8*p**2 + 20*p - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i + 180. Let j(f) = -2*f - 1. Determine -c(o) - 2*j(o).\nAnswer: o - 178","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**5 + 150*y**4 + 1490*y**3 + 4740*y**2 - 4015*y - 25410 = 0.\nAnswer: -11, -7, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*c + 6. Let u(w) = -179*w**2 + 10*w - 25. Let l(v) = -246*v**2 + 13*v - 34. Let b(p) = -8*l(p) + 11*u(p). What is b(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62\/3*r - 20 - 2\/3*r**2 = 0 for r.\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2937600?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 + 90?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 - 6 = 5*n, -4 = -u + 3*n. Suppose 4*l - 170 = 2*g, -3*l - 3*g + 155 = g. What is the remainder when l is divided by (2 + 1 - -20)*u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*d - 1)*(-3*d + 0*d + 5*d)*(-11 + 11 + d) + (-1 - d**3 + 1)*(245 + 127 + 291).\nAnswer: -659*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43313914 or -8?\nAnswer: -43313914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.07 and -4704732847.732.\nAnswer: -4704732847.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**4\/24 - 5*c**3\/3 - 7*c**2. What is the first derivative of i(b) wrt b?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -37*m**4\/6 - m**3\/6 + 60*m**2 + 7*m - 1. What is the derivative of u(h) wrt h?\nAnswer: -148*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10437219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 + 68. Suppose 86 + 39 = 5*j. Let c = j + -11. What is the greatest common factor of c and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (6 + -3 + -4 + 1 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21722*w**2 + 2719 wrt w.\nAnswer: -43444*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 209, 419, 639, 875, 1133?\n\"Answer: o**3 - o**2 + 206*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.55147 and 4.\nAnswer: 4.55147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 29*f + 6. Let t be r(2). Let u be 6\/9 + t\/12. Let c = 11 + u. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 287*a + 522 = 286*a, 1536 = -3*w + 2*a. Sort w, 5, 0 in decreasing order.\nAnswer: 5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2078941*v - 977394*v + 5218148*v + 677252*v.\nAnswer: 6996947*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 13. Let n be l(9). Let u = -117 + 121. Suppose 2*t - u*g - 22 = -80, 4*t = 4*g - 136. Is t at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 44 + 2*d**3 + 2*d - 2*d.\nAnswer: d**3 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 8905830 to the nearest one hundred thousand.\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -770 + 455. Let t = 315.266 + x. Let r = 0.43 - t. Round r to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -212\/1529 + -6\/139. Is m less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - ((sqrt(11) - (sqrt(11) + sqrt(11)*2)) + -5)) + 5 + 3.\nAnswer: 3*sqrt(11) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2441 - -2473. Solve 4*n - h = 12*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4)\/r)**(2\/7))**42 assuming r is positive.\nAnswer: r**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dfef + -26?\nAnswer: -e015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 663957432 to the power of 1\/4, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/12 - (-910)\/52. Let m(r) = -r. What is m(j)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 954*x**3 + 288 + 2347*x**2 + 663*x**2 - 46*x**4 + 65*x**5 + 1580*x - 79*x**5 - 732*x**2 = 0?\nAnswer: -9, -1, -2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -248711.7 < 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 + 14*l + 2. Let b be v(-7). Calculate the highest common divisor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 5. Let w = -2 - h. Solve -o = -w*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37090 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -3939 and 122452815.\nAnswer: 122448876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2358, -4770, -7182, -9576, -11934, -14238?\nAnswer: -16470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 10:17 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230886?\nAnswer: 2, 3, 101, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**2 - b - 3. Let i be 1*(-6)\/39*-13. Let q(p) = -1 - 715*p + 4*p**i + 5 + 716*p. Calculate 5*q(w) + 6*s(w).\nAnswer: 2*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*l**2 + 3*l - 3*l + 29*l**2.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 488036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 136893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 479.\nAnswer: 30\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/4)\/((-9)\/(-156)). Do j and 65 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 712034988?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.426 + 9.376. Let t = 1\/30 - 5\/6. What is the third smallest value in -2\/17, 0.3, n, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 125. Let t(p) = 2*p**2. Calculate l(t(a)).\nAnswer: -8*a**4 - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1013 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*m - 1 - 39, 2*m - 2*h - 34 = 0. Suppose 0 = -l + 4*a + 35, -2*l + 2*a = -43 - m. Suppose l*c - 9505 = 22*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {y: 5, l: 1, f: 4, c: 3, w: 1, a: 4}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17680 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 9710 = u + 9708, 0 = -4*f - 5*u + 38 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10390306 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 times -3.1?\nAnswer: -198.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 5*m**2 + 7*m - 3. Let s be c(6). Let t be (-1)\/s - 2\/(-6). Suppose t = -0*r + r + 1. Let o(b) = 7*b**3 + 2*b**2 - 1. Calculate o(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-61)\/5 + 3)\/4 and -26\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.81 - -0.01. Let u = -11.4 - d. Let i = 10 + u. Which is smaller: i or -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 163, 148, 117, 64, -17, -132?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 11*h**2 - 7*h - 39. Calculate l(-9).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 11. Which is smaller: 10 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3125 divided by 48.\nAnswer: -3125\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.4693357 centuries?\nAnswer: 46.93357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7) + (-4 - -2) + 8 - 19.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3877, 7758, 11639?\n\"Answer: 3881*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 69. Let r = o - -28. What is the second smallest value in r, 0.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 124 (c) -2 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 * -4\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 14*f**2 + f + 4. Let d be n(14). Suppose 0 = 4*i + 9 + 3. Let y = -1 - i. Calculate the highest common divisor of d and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 7, 3, -5, -17, -33?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2188726 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 13, -1, 3, -23 in increasing order.\nAnswer: -23, -1, 1, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3987*a**2 - 5146. Let q(i) = 2658*i**2 - 3432. Let u(t) = 7*m(t) - 11*q(t). Differentiate u(w) with respect to w.\nAnswer: -2658*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**2 + 714*v + 78320 = 0.\nAnswer: -88, 445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.941051043 rounded to 2 dps?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 6*o**2 - o - 7. Let j be l(-6). Suppose 7*h + 41 + 2 = 50*h. Which is the nearest to 30? (a) h (b) j (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0. Let j = 25802 + -25808. Which is the third biggest value? (a) j (b) 6\/7 (c) -0.05 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 16. Suppose -2*u = q + 2*q - 79, g = 3*q + 3*u - 78. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 3. Let t(o) = o**3 - 5*o**2 - 5*o + 1. Let g be t(6). Let j be d(g). Solve -8*a + 3*w = -3*a - j, w = -a + 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 324734565?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**0\/f)**(25\/4)\/(f\/(f\/(f\/(f**(1\/2)\/f))*f))**(-1\/6))**(-18\/11) assuming f is positive.\nAnswer: f**(-114\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 12. Suppose 5*y - 49 = -h*r, 0 = 4*r + 2*y - 44 - 46. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - n - 16. Let w be a(-4). Solve -z + w - 9 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 840*u**3 - u**2 - 871*u**3 + u**2.\nAnswer: -31*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 103402493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3724 is divided by 218?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1430193 and 5568?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1402962 and 66990?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (7 - (-2 - -5)) - -12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5 = -3*p. Let b be 33\/(-30) - (-3)\/6. What is the nearest to p in -0.3, b, -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/4 - 6813*j**3 - 123737679*j**2\/2 - 187029133785*j + 6753114193527\/4 = 0 for j.\nAnswer: -9087, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006303646 to six decimal places.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -15055275903843?\nAnswer: -15055275903842.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/((-595)\/(-10)))\/(-2)*-2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3070 and 50.\nAnswer: 15350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 241*c**4 - 135*c**3 + 446*c**2 + 71244558*c wrt c?\nAnswer: 2892*c**2 - 810*c + 892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbggd. What is prob of sequence gdgb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-18)*3\/(-2))\/(-15*(-184)\/(-690))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + 3 + sqrt(1539) + 1 + sqrt(1539) + (sqrt(1539) + -1 - sqrt(1539)) + 5)**2.\nAnswer: -18543 - 540*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 - 2\/(1 - 0). Let x = 13 + -14. Let y(z) = -8*z**3 + 2*z**2 - 1. Let j be y(x). Calculate the greatest common factor of n and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, b: 1, o: 3, a: 1, u: 2, z: 2}. What is prob of picking 1 o, 1 z, and 1 u?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (1 + -3) - (17 + -64 + 76).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 18225*f - 145795. Give x(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + 3*d + 1. Let x be g(-2). Suppose 15 + 45 = -12*c - 48. Let m = x - c. What is the lowest common multiple of m and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (26\/195 + 3\/18)*-2. Sort 1, 3, 7, t in decreasing order.\nAnswer: 7, 3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -265*s - 10. Let c be z(-11). Suppose -15*r = c - 10450. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 11*j + 12. Let v be z(10). Let p(q) = 7*q**3 - q**2 + 2*q - 2. Let w be p(v). Let k = w - 35. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 277, 278, 279, 280?\n\"Answer: s + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 2602532?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*-1*4\/2. Suppose 4*a = -i + 6, -2*i - 3*i = l*a + 24. Let m(j) = j**2 + 8*j + 7. Give m(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**2 - b - 26. Determine n(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2. Let z be 2*18\/(-10)*20\/(-6). Let c = 38 - 27. Let n(j) = -12*j + c*j**2 + z*j. Calculate r(n(h)).\nAnswer: 242*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24.028 - 24. Round k to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 10*z**3 - 10*z**2 + z + 9. Let h(g) be the second derivative of g**5\/20 - g**4\/12 + g**2\/2 - 779*g. Determine -18*h(a) + 2*k(a).\nAnswer: 2*a**3 - 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 + 1656 = 5*x. Let -42*u + 11*u - x*u**3 + 113*u**4 - 17*u - 4 - 205*u**2 - 309*u**4 = 0. What is u?\nAnswer: -1, -2\/7, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*-3)\/3*(-414)\/(-184)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**3 - 9*d**2 + 27*d - 15 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10)*(-12)\/18?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-10))\/(6\/(-15)). Find the first derivative of v**2 + 2*v**2 + 4 - v**2 + 0*v**i wrt v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2054, 2045, 2036, 2027, 2018?\n\"Answer: -9*t + 2063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - 4*p + p**2 + (-2*p - 3*p + 3*p)*(-2*p + 0*p + 5*p) + (26*p**2 + 130*p - 130*p)*(1 - 7 + 3) + 8 - 8 - 2*p**2.\nAnswer: -85*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20.466 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (0 - 40) + (13 - (-23 + 32))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0 - (16 - -2 - -12)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3006, 5251, 7496, 9741, 11986?\n\"Answer: 2245*o + 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -22*5\/(-385)*140\/8. Let a be 2 + (1 - (3 - 0)). Let b(l) = a*l - 4*l + 7 + 5*l. Give b(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690354.\nAnswer: 2, 3, 7, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 142455*v**4 - 85523 wrt v?\nAnswer: 569820*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 12, 5 + 23 = 5*x + 4*p for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**2 - 84*n - 1896. Determine c(-31).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) -3\/10951 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 95.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r - 9. Let p be l(-2). Suppose 3 = 2*m + 2*z - p, 0 = 3*z. Solve 0 = -2*v - 4*n + 24, m*v = 7*v - 5*n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*n - n - 39*n = -240 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 - y**3 + y**3 + (-6*y**2 - 89*y + 89*y)*(38*y**3 + 5*y + 35*y**3 - 77*y**3).\nAnswer: 22*y**5 - 30*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1074039320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-315)\/20)*(-9)\/6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, t: 5}. What is prob of sequence wt?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 41, -2, -32200, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = c + 4*f + 2, -11 = -4*c - 3*f. Suppose -4*b = z - 3*z + 2, -3*b + 5*z = c. Solve b = 2*p - 0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 1, -29, -91, -197?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (10 - ((-1 - -1) + 47 + -43)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4206.35181 to one dp.\nAnswer: -4206.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6057 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-6 + 5)) + -2 - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h = 42*h + 84 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1 - 5 + 4*r + 20. Suppose -k + w = -13 + 1, -4*k + 44 = -2*w. Does 27 divide c(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 5*a**2 - 8*a + 15. Let j be s(6). Differentiate 2 + u + j*u + u with respect to u.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1201*c - 1. Suppose 6*w - 1 = 5. Let b be o(w). Round b to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2810*g**2. Let t(a) = -14*a. Let u(o) = -130*o. Let n(f) = 9*t(f) - u(f). What is n(p(b))?\nAnswer: 11240*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14149576 a multiple of 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -15466 + 15698. Calculate the highest common factor of m and 2610.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p - 35. Let f(b) = -2*b - 11. Determine 4*a(w) - 11*f(w).\nAnswer: -2*w - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 383530 rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmkkzkmkkkmmkmkkmkk. What is prob of sequence zmm?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 4*l. Let w be m(-5). Let v = 0.1996 + -0.0996. What is the second biggest value in v, -0.1, w, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -0.05 (c) 5 (d) 0 (e) 0.66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58\/91 + -38\/13. Calculate the common denominator of j and -20\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -6*x**2 + 0*x + 0*x**4 + 0*x**6 + 0 - 1\/42*x**8 - 1\/5*x**5 + 0*x**7 + 0*x**3. Find the third derivative of g(i) wrt i.\nAnswer: -480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + q + 5 = 6*q, 2*q = -5*f + 2. Let g be f\/(-4) - (-2 - -2). Let a = 0 + g. Solve a = 2*c + c + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((2*sqrt(110) - sqrt(110))\/sqrt(5))\/((sqrt(11) + sqrt(44)\/sqrt(4))*-6) + (2 + 1*sqrt(128))*-3)**2.\nAnswer: 1445*sqrt(2)\/6 + 85321\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -358a7395 - 2?\nAnswer: -358a7397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122 + -119. Let c(i) = -i**3 + i**2. Let h(q) = -646*q**3 + 5*q**2 - 2*q - 5. Let z(j) = 6*c(j) - h(j). Let p be z(w). Round p to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-2)\/((-18)\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 21972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28933143\/305319700 + 2\/1308513. Find the common denominator of c and -103\/126.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00524 to 4 dps.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18184681721\/4947390 - 11\/824565. Let r = l - 3679. Calculate the common denominator of r and -67\/112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3 + 4) + 5. Suppose 0 = o - j, 10*l - 26 = 5*l - 4*o. Suppose u + 4*u - 25 = 0. Which is the smallest value? (a) l (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ec9 + -4?\nAnswer: -ecd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*y - 98, -y + 1 = -2*y. What are the prime factors of (w\/8 + (-87)\/12)*-164?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 2*g + c, 5*g = -2*c - c + 150. Solve -5*t + g = -s - 0*s, t + 3 = -4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 208.8 + -173. Let n = 36 - o. Which is the smallest value? (a) n (b) -1.4 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 6. Suppose -2*s + 0*s = 20*s - 2376. Calculate the highest common divisor of c and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**3 - 3*k + 62*k**4 - 3*k**3 - 7*k**4 - 27*k**4 to the form a*k + z*k**3 + x*k**4 + i*k**2 + q and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 2540.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 30151981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((1 - 3)\/4). Suppose -2*p - p + 4*d + 11 = 0, 0 = 3*p - 2*d - 7. Let k = 2 - p. Put n, k, -3 in descending order.\nAnswer: k, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 - 66. Suppose 9 = -4*c + c. Calculate the least common multiple of (-3)\/2*4\/c and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -34981 and -34984 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 4*t**2 - 16*t + 1. Let l be a(7). Let p be (44\/l)\/((-1)\/(-6)). Is 6 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39.4 in -6\/13, 10\/13, 0.2, 1?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 993, 3978, 8953, 15918, 24873?\n\"Answer: 995*g**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57*b + 43*b + 97 + 78*b**4 - 100*b wrt b?\nAnswer: 312*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.1, 4\/3, -103, 2.0013?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -181246 * 4\nAnswer: -724984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 15 - 4 - 2 + 263*w**3 - 7 - 2*w**2. Is s(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 82 = -2*g, p - 4*p + 66 = g. Suppose 282 = l + 3*c + 267, -3*l - 3*c + 69 = 0. What is the remainder when g is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/461 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from xixdkdly.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 37*t + 37*t - 2.\nAnswer: t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 2*r**2 - 4*r - 3. Let d(a) = -2*a + 3*a - 1 + 2. Suppose 0 = 8*y - 149 + 117. Let n(g) = y*k(g) + 12*d(g). What is m in n(m) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18 - -18) + (-11)\/1. Does 19 divide -6*t\/(99\/114)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 3*s**2 + 4. Let a be o(3). Let z = 110 - 108. Solve -a*h + z = 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1))**(3\/22))**18)**2 assuming y is positive.\nAnswer: y**(-54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 8*j - 3 = 0, 4*y + 2*j - 2054 = 0. Calculate the greatest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and -13361.6.\nAnswer: -360763.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 46944?\nAnswer: 234720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79161375?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(153) - sqrt(153))\/sqrt(9) + ((sqrt(102)*-3)\/sqrt(6))**2.\nAnswer: -3*sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + i - i)*(-1 - 1 + 3) + (-i + 4*i - 5*i)*(-2 - 1 + 5) - 3*i + 2*i - 3*i + 11*i - 7*i + 12*i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*h + 6 = 41*h - 93*h. Let u(m) = -27*m + 6. Let a(v) = 9*v - 2. Give h*u(t) - 8*a(t).\nAnswer: 9*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) -3\/4 (c) 4.3622 (d) 2\/23 (e) -1 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -0.25. Let r = x + -0.05. Let o = r + -0.03. What is o rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -1187056?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3612\/(-184212)*(-1020)\/9.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.54 - -1.4. Let u = o - -0.04. Let j = 2.9 - u. Which is the closest to 1? (a) j (b) -3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 20*p - 18*p + 48. Calculate the remainder when 12275 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/3 of a year in months?\nAnswer: 208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5996 by -5996.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - w + 7. Suppose -269*r = -270*r - b + 6, -3*r = 5*b - 24. Let f(p) = -8. Give r*f(m) + 2*x(m).\nAnswer: -2*m**2 - 2*m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5 - 1 = 0. What is the units digit of 19 + 0 + p - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5\/4 + 11*f**4\/2 + 125*f**3\/2 + 215*f**2 + 1191*f\/4 + 279\/2 = 0 for f.\nAnswer: -3, -2, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72367369736 + -0.0133.\nAnswer: -72367369736.0133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6951b67 + 5?\nAnswer: -6951b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (144*g**2 - 38*g**2 - 41*g**2)*(-272*g + 40*g - 29*g - 97*g).\nAnswer: -23270*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3\/5 - 2746*i**2\/5 - 139232*i - 49396352\/5 = 0. What is i?\nAnswer: -1069, -152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 35*x + 12. Let y(j) = 80*j + 37. What is -7*v(o) + 2*y(o)?\nAnswer: -85*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 6. Let f be 0 + (-2 - u) + -3. Put 2, -4, f in decreasing order.\nAnswer: 2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -31?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7822794 + 7821094 = -20*y for y.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1005335 - -1?\nAnswer: -1005334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/9 - 4081828*p\/3 - 4165329955396.\nAnswer: -(p + 6122742)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.7 + -7.3. Let f = h - -6. Put 2, f, 5 in decreasing order.\nAnswer: 5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.7703 + 0.1603. Let v = 22.03 + u. What is v rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(2*w + w - 5*w) + (4 - 4 + 2)*(808026 - 467*w - 808026).\nAnswer: -936*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -180 + 257. What are the prime factors of (-4420)\/(-14) + 22\/v?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + n - 2310 = 0. Suppose 69 = i + 5*c, -5*i + 591 = -2*c + n. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-3 - 5) + 30 + -13 - 24)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 533833 and 34201.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5832303800 to the nearest one million.\nAnswer: -5832000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4 and -3.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -906551352 to the nearest 10000.\nAnswer: -906550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.4 (b) 4 (c) -0.1 (d) 3 (e) -1824\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, g: 1, q: 2, b: 1}. Give prob of picking 1 q, 1 i, 1 g, and 1 b.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from bqbbbqbbqqbq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 848 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6583 divided by -23?\nAnswer: -6583\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2552007437?\nAnswer: 7, 281, 1297411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5295452 milligrams to grams.\nAnswer: 0.0005295452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -244 - -242. Let v be (-2)\/(-4)*1\/(-5). Which is the second biggest value? (a) 4 (b) g (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3. Let i(s) = s - 12. Let x be i(12). Let f(m) = m**2 - 6*m. Let q be f(5). Sort x, n, q.\nAnswer: q, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 282 + 13700. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:11 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**2 + 19*a - 27. Let k(n) = 2*n**2 + 1. Let p(l) = -4*k(l) + q(l). What are the prime factors of p(15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 4. Which is the closest to t? (a) -9\/4 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -4, 4\/13, 2, 1 in decreasing order.\nAnswer: 21, 2, 1, 4\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 4. Let q(g) = 2 + 3*g - 2*g + 2*g - 2 - 4 + g**2. Let w be q(a). Solve -i = -w*i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.2, 18\/11, 5\/4 in increasing order.\nAnswer: 5\/4, 18\/11, 3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-2*(3 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 4*h - 17, 166*h - 171*h = -7*b + 45 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 2184.\nAnswer: 2184.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 2:20 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2183512?\nAnswer: 2, 191, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -114.085379 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1217.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*b + 62*b - 15 = 12. Let q(u) be the second derivative of -2\/39*u**b + 1\/78*u**4 - 12*u + 0*u**2 + 0 + 1\/130*u**5. Factor q(k).\nAnswer: 2*k*(k - 1)*(k + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -724\/3543 or 0?\nAnswer: -724\/3543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 - 42*z**2 - 125*z\/3.\nAnswer: -z*(z + 1)*(z + 125)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 700 + -690. Let h(q) = -7*q + 70. Let x be h(i). Which is the smallest value? (a) 5 (b) x (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505327613 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10*y - 134. Let k be t(14). Let n = k + 1912\/7. Suppose 4*q - 2*p + 2 = 0, -6*p + p = 4*q - 5. Sort 0.3, q, n.\nAnswer: n, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 12*y**2 + 6. Let x(d) = -d**3 + 4*d**2 + d. Let h be x(3). Let f be i(h). Let n be 8\/f*(5 + -4). What is the closest to 1\/4 in 0.3, n, 2\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14678 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.51 + 0.49. Let q = -28.5 + u. Let d be (4\/30)\/((-9)\/15). Which is the second smallest value? (a) q (b) d (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - -11230?\nAnswer: 11313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/4 + 12555\/(-20). Let s = m + 1314. List the prime factors of s.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12894*h**3 + h**2 + 48*h - 753 wrt h?\nAnswer: -77364*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 654 - -286663?\nAnswer: 287317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-40)*(-150)\/60\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -75277.\nAnswer: 1\/75277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3322167 to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.601236124 to 3 decimal places.\nAnswer: -9.601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38216343 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(1900) + -3 + (3*sqrt(1900) - sqrt(1900)) + sqrt(1900) + sqrt(1900) + -2 + (-2 + -2*sqrt(19) - sqrt(114)\/sqrt(54)))**2.\nAnswer: -2860*sqrt(19)\/3 + 389431\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*m - 2*m. Suppose m*q + c - 4*c = 18, 0 = -5*q - 4*c + 12. Find the third derivative of 2*v - q*v**2 - v**4 - 6*v + 4*v wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6034, 6242, 6580, 7042, 7622, 8314, 9112?\nAnswer: 10010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2986 + 1806*x**3 + 1450*x**3 + 305*x**3 wrt x?\nAnswer: 10683*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 31*g**5\/30 - g**4\/8 - 2*g**3\/3 + 19*g**2. Is i(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11191 and 705774?\nAnswer: 415700886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65006 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*s + 6 = 0, 3 = 4*d + 4*s - 5. Let u = -31 - -278\/9. Sort d, u, 0.5 in decreasing order.\nAnswer: d, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -76489198, -305956781, -688402752, -1223827111, -1912229858?\n\"Answer: -76489194*k**2 - k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9168?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9458899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 29, -2, -0.3, -52?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427325 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4, -15, 0.10766, 0.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/105)\/(9\/27).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*a**2*k**3*x - 426056*a**2*k**2*x - a*k**3*x - 754*a*k**3 + 2*a*k**2 - 171*a*k*x wrt a?\nAnswer: 54*k**3*x - 852112*k**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-2))\/((-3)\/(-12)). Is 398\/k + 4\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 562 - 114. Calculate the remainder when k is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035 times -24703?\nAnswer: 864.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -142*d**3. Let q(k) = -27263*k**3. What is 959*m(x) - 5*q(x)?\nAnswer: 137*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -6\/7 (c) 4 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -184.7738003 + 3.7721903. Let a = y - -181. What is a rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194756 divided by -362.\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*(-4)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/78*13*2958. What is the highest common divisor of c and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + g - 28 = -4*g, -4*g + 16 = 4*p. Let k be ((-3)\/p)\/1 - 1. Suppose -b - k*b = -210. Calculate the greatest common factor of 28 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 56*v**3 - v**2 + 14*v + 15. Calculate w(-1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70063.53ng to kilograms.\nAnswer: 0.00000007006353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54 * 2.17873.\nAnswer: 117.65142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -22*a + 6. Let x(l) = l - 6. Let s(h) = 19*h + 7. Let m(w) = s(w) + 2*x(w). Give 6*m(g) + 5*n(g).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -13. Let l = 0 - a. What is the derivative of -5*t + 3 + 0 + l*t - 2*t wrt t?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3130745 and -1?\nAnswer: 3130744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 378 and 42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 4*v + 23, -47*v - r - 9 = -45*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**2 - 4*j - 43*j - 3*j.\nAnswer: 8*j**2 - 50*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4965 = -4*g - 5*t + 53591, -12161 = -g - 2*t. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2 + 351*f + 26. Calculate l(-70).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*a - 546*a + 519*a = -27489 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = z + 8. Solve 0 = l + 3*r + 1 + 6, 0 = 5*l - 2*r - z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 9. Let r(o) = -2*o + 10. Let j(z) = 5*l(z) + 4*r(z). What is j(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1317, 4083, 11641, 26391, 50733, 87067, 137793?\nAnswer: 205311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(14)\/(sqrt(242)*-3 + sqrt(242)) - ((-1*sqrt(385))\/sqrt(11))\/(sqrt(45)*-3).\nAnswer: -31*sqrt(7)\/198 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-6)\/(4 - 34).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*j**3 - 31*j**3 - 34*j**3 - 30*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, a: 5, f: 1, y: 4, e: 3}. Give prob of sequence eaye.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -62?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 64225?\nAnswer: -6422.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 2*h - 1. Let m be d(4). Suppose 140 = -3*p + m. Calculate the remainder when 37 is divided by p\/(-2)*(-2)\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)*3 - sqrt(5)) + 0 + sqrt(60)\/sqrt(12) + 1*1*sqrt(720) + 4)**2.\nAnswer: 264*sqrt(5) + 5461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4348?\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39.404 <= 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.053 + 38.947. Let y = 41 - n. Are -11\/2 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -79, -314, -705, -1252, -1955, -2814, -3829?\n\"Answer: -78*m**2 - m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14764676903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*y + 7*y + 132. Suppose -a - a - 4*t + 8 = 0, -2*t = -5*a - 4. Sort -2, a, y, -3 in decreasing order.\nAnswer: a, -2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1142314331 (base 5) to base 3.\nAnswer: -12002002002022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2310 divided by -1155\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 3344?\nAnswer: 3353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2675414 * 0.3\nAnswer: -802624.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**5 + 6001*m**4 - m**3 - 18486*m + 2 wrt m.\nAnswer: 20*m**3 + 72012*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n - 5*w + 92 = 0, -5*n + 116 = -w. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-12) - (-15)\/4. Calculate the remainder when (j\/(-5))\/((-4)\/70) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 355*j = -179*j - 179*j - 29, 5*j = -3*z - 48 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1.2 (b) -14 (c) 522 (d) 59 (e) 0 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 7204?\nAnswer: 9\/7204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -32, -85, -192, -371, -640, -1017?\nAnswer: -1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 11. Let n be l(9). Let t(g) = g - 1. Let m(d) = 2*d - 2. Give n*t(u) - 2*m(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5205 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 2:55 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107068340 by 332.\nAnswer: -322495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 + 12*k - 1. Let x(s) = 23*s - 9*s - 4*s - 4*s - 7*s. Calculate -i(g) - 5*x(g).\nAnswer: 2*g**2 - 7*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14477 = 26*w - 57*w. Calculate the remainder when 1403 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1196217 to the nearest one thousand.\nAnswer: 1196000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.23 - -0.63. What is the third smallest value in -5, m, 2\/9, -1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, g: 1, v: 3, y: 1, q: 1}. Give prob of picking 1 y, 1 q, 1 z, and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - 4) + -4 + (-4)\/(-2). Let t be (j\/(-1))\/((4\/(-80))\/(-1)). Calculate the greatest common divisor of t and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39423 minus 1832735809?\nAnswer: -1832735808.60577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + m**2 - 2*m**3 + 2*m - 2*m + 4 as g + u*m**3 + y*m + h*m**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 256794599 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 4)*(-2*j - 459 - 170 + 304 - 15*j - 777) in the form k + z*j and give k.\nAnswer: 1102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-8) - (-18)\/4. Let k(l) = l + 23. Let s be k(-12). Suppose 2*q = -y - 2, 4*q + s = -i. Which is the nearest to i? (a) -4\/3 (b) -3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - -0.52. Let n = r + -0.52. Let h = 65\/3 + -22. Which is the second smallest value? (a) n (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v - 20. Let l = -73 + 69. Let u be -1*((-54)\/(-9))\/(6\/l). Put v, u, 5 in increasing order.\nAnswer: u, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**4\/4 + 2*n**3 - 3*n**2 - 2*n + 127. Determine p(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.42 - -0.08. What is the nearest to -3\/4 in t, 2\/3, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 15 = 5*c, -3*c + 5*b + 1 - 2 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1487, 10439, 34781, 82223, 160475, 277247, 440249?\nAnswer: 657191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1080 and 1169340?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*c = 48*c + 4648 - 1641 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f + 14*f + 4*f**2 - 8*f. Let z(m) = -4*m + 3. Let h(j) = -23*j + 17. Let g(o) = -6*h(o) + 34*z(o). Determine b(g(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*y**2 - 4696*b*y - 189*y**4 wrt y?\nAnswer: 2*b - 2268*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-559*a - 1675*a - 999*a)*(-4 + 4 - 1).\nAnswer: 3233*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 415 + -241. Suppose -3*j + 24 + n = 0. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-42)\/(-4) + 2\/4. Suppose 0 = -5*d - u + 7. Solve d*n + 1 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503371.\nAnswer: 11, 67, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 391\/524 + 1\/262. Let s = 3380\/7 + -482. Let q = -249 + 246. What is the second biggest value in q, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 0.06, -5, 0, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/(1\/(-12)). Calculate the common denominator of (-3)\/g + 5\/(200\/(-12)) and -43\/142.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssp when three letters picked without replacement from {t: 2, l: 1, s: 11, p: 2}.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**39\/s*s)*s**(-1\/3)\/s assuming s is positive.\nAnswer: s**(-118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/5052 and 35\/283916?\nAnswer: 358585908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 4, 3, 17.\nAnswer: -18, 3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -918, -1284, -2274, -4200, -7374?\n\"Answer: -52*g**3 - 2*g - 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 28 - 41)*(-4*z**3 + 4*z**2 - 3*z**2 + 3*z**3 - 1).\nAnswer: -30*z**3 + 30*z**2 - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*f**4*v**2 + 9*f**4 + f**2*v - 363*f*v**2 + 2 wrt f?\nAnswer: 1440*f*v**2 + 216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 49217, 48542, 47867, 47192?\n\"Answer: -675*o + 49892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*o = 34, -3*j + 5*o + 23 = -2*j. Suppose 3*k = -2*k + 4*s + 30, -4*s - 24 = -2*k. Solve -k = -5*n + j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35*m*n**2 - 40*m*n - 24720*m - 2*n**2 + 3 wrt n?\nAnswer: -70*m*n - 40*m - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-8*5\/7020*-27?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 160*y + 465. Let t = -1 + 2. Let o = -2 + t. Which is the nearest to 1? (a) o (b) -1\/10 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1870\/11616 + 2784\/176 + -16.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from jjaarryjfrryjag?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 357107 and 430.\nAnswer: 357537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 + 9*n**2 + 13*n - 4. Let l be x(-4). Let r be ((-4)\/l)\/((-2)\/8). Which is the closest to 1? (a) r (b) -2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 + 8 = 2*t + 5*p, 4*t - 5*p = 252. Suppose 20087 = 30*z - 1513. Let q = -698 + z. What is the remainder when t is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14875153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*q + 28 = -i + 389*q, q = -2*i - 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-3) - (-10)\/15. Let d be (i\/4)\/(-3)*90\/9. Suppose 2*p - 51 = r, -d*p + 2*p = 5*r - 44. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700948 plus -2106?\nAnswer: 698842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -13. Let p = 36589 - 36587.9. What is the biggest value in -0.4, u, p, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/5 (b) -226 (c) 18 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -10*k - 1. Let s(f) = -11*f - 1. Let j(r) = 4*m(r) - 5*s(r). Let h be j(8). What is the greatest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/(21*(-27)\/(-567))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f + 2*f - 8 + 3*f)*(-2*f**4 + f**2 - f**2).\nAnswer: 2*f**5 + 16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -791 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 473, 1112, 1749, 2384?\n\"Answer: -q**2 + 642*q - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.106, -0.18, 0.1, 1\/2, -0.034 in decreasing order.\nAnswer: 1\/2, 0.106, 0.1, -0.034, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 126\/35 - 4\/(-10). Suppose 2*u = 2*d + 6, 0 - 16 = -f*d - 3*u. Suppose 4*v - 27 = 1. What is the highest common divisor of v and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.97 times -9?\nAnswer: -251.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028663 rounded to seven dps?\nAnswer: -0.0000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2351*r + 318 = 1146*r + 1046*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - 29\/4)*4. Solve -g*a - 1 + 5 = -4*r, 3*a - 1 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 244655.2 litres?\nAnswer: 244655200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(198) + (sqrt(198) + sqrt(22) - sqrt(22))*-5)\/(2*sqrt(44)\/sqrt(4) + (sqrt(11) - (sqrt(11) + (sqrt(11) + sqrt(11)*2)*-3))))**2.\nAnswer: 288\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -84? (a) -5 (b) 2 (c) 3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-7)*91\/26?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 - 63. Let f(i) = -20265 - s*i + 2*i + 20259. Let q = 13 - 17. What is f(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2128)\/476)\/((-1074)\/(-9129))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6014 plus 388913?\nAnswer: 388913.6014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and -62233.45?\nAnswer: 62226.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 660\/(-2178)*(4 - 128\/(-40)).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 404 divide 115201590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.904 or 1.53?\nAnswer: 3.904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -20. Solve 2*v = -t*v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 6*s**2 - 5135 - s + 2528 + 2598.\nAnswer: -6*s**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 343710 divided by -6\nAnswer: -57285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3462 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -3 + 4 + -5 + (-532 - -495)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*4 - -35. Let a = 36 + g. Calculate the highest common factor of a and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4981853617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56 + -7?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -247 + 259 - 2*v - 486*v**2 + 462*v**2 to a*v**2 + p*v + d and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/15*3*(-20)\/40.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157 by 23.\nAnswer: -157\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 1245 - 1246 = 3*f, -3*f = 3*s - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3156 divided by 2?\nAnswer: -1578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -48.1. Let a = 0.6 - m. Let w = a + -2.5. Is 2 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 f when four letters picked without replacement from {q: 2, a: 1, z: 2, t: 1, y: 1, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (13\/4)\/(14\/168). Suppose 18 = 2*w - a, 4*w + 3 = 4*a + v. Suppose -2*y - 14 = -w*y. Sort y, -2, 3 in increasing order.\nAnswer: -2, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(4\/5)\/(p*p**1)**(28\/3) assuming p is positive.\nAnswer: p**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20051*v*w**2 + 45954*v with respect to w.\nAnswer: -40102*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 123*y = -126*y + 19, 4*y - 37 = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-101*d - 337*d + 15*d)*(3*d**3 + d - d) to c*d**2 + w + o*d**4 + r*d + g*d**3 and give o.\nAnswer: -1269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1054289915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 1. Let p(j) = -130*j**3 + 390*j**2 + 390. Calculate 390*g(u) - p(u).\nAnswer: 130*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/22 and -17\/422?\nAnswer: 4642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 259 - 12 = -2*a, 4*f - 2*a = -364. Which is smaller: -11\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -13*p - 12. Is (-1226)\/((8\/p)\/(1 - -1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5 + 48719*d**4\/5 - 2320172*d**3\/5 + 5483904*d**2 + 7448832*d\/5 - 22339584\/5 = 0.\nAnswer: -1, 4\/5, 24, 9696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38284, -76600, -114916?\nAnswer: -153232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 - 11 - 5*o**2 - 3*o**3 + 12. Let f be l(1). Sort -3, -1, f in increasing order.\nAnswer: f, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 12*m + 10. Let r = -3 + 9. What is the smallest common multiple of x(0) and 3 + r + -3 + 0?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 3*y + 13*y)*(-3*y**2 + 2*y**2 + 3*y**2 + (0*y + y + y)*(2*y - 2*y + y)).\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*a - 43*a + 55. What is the greatest common divisor of 55 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 18. Suppose -4*u = -m*u + 10. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -285.95 - -291. Let p = 10.05 - t. What is the third smallest value in p, 0, -14?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvfdfjdjfwjffwdvj. What is prob of sequence wfw?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4387, -4011, -3635, -3259, -2883?\nAnswer: -2507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736066 is divided by 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.279 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.12 - 2.62. What is the nearest to 2 in -0.4, -41, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 - 8*h + 12. Let p be ((-18)\/(-16)*-2)\/((-4)\/16). Let j = p - 3. Let v be u(j). Calculate the greatest common factor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from hahhhhha.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - v - 3*v + (1 + 3 - 3)*(v - 4 + 4) + 4*v + 4*v + 4*v)*(-2 + 3 - 7 + (2 - 2 - 2)*(1 - 2 + 3) + 0 - 2 + 1) in the form u*v + q and give u.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -448, -437, -404, -337, -224, -53, 188, 511?\nAnswer: 928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39724?\nAnswer: 2, 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 9. Let b be (l - 33\/9)*-30. Suppose -b*r = -17*r - 231. What are the prime factors of r?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/7 + 32*a**2 + 163*a + 916\/7.\nAnswer: -(a - 229)*(a + 1)*(a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7.9 (b) 9\/104 (c) 0.86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(5\/3))\/(d*(d\/(d**(5\/6)\/d)*d)\/d*d*d*d*d))\/(d**(-1\/2)\/d*d)**(-9\/2) assuming d is positive.\nAnswer: d**(-109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**5\/4 + 445*f**4\/36 - 100*f**3\/9 + 882*f**2. Factor z(k).\nAnswer: 5*(k + 20)*(9*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3*u + 7, -p + 11 = -5*u - 10. Let v(t) = t + 3. Let s be v(p). Does s = -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98056067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 4*i - 27*i = -240. Solve -4*o = -3*k - 8*o - i, -4*k - 3*o = 19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 835 and 4360385.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.6 and -165?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -160668769, -321337533, -482006297, -642675061?\n\"Answer: -160668764*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -637, -2489, -5575, -9895, -15449?\n\"Answer: -617*v**2 - v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1340445*h**3 - 1359081*h**2.\nAnswer: -8042670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2879 - -2878.9997291. What is x rounded to five dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*4\/(-8) - -15. Find the third derivative of -18*f**3 + u*f**3 - 3*f**6 + f**6 - 4*f**2 wrt f.\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188 divided by 15522\nAnswer: -94\/7761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*n**4*t**2 - 2*n**4 + n*t**2 + n*t - 207*t**2 wrt n.\nAnswer: 936*n**2*t**2 - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23144 + 0.5.\nAnswer: 23144.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*x - n, 2*x - 38*n + 43*n + 21 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 8348*b**2 - 6766*b + 5. Let g(a) = -8285*a**2 + 6766*a - 6. Let i(j) = 5*g(j) + 6*r(j). Find the second derivative of i(d) wrt d.\nAnswer: 17326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 + k**2 - 2*k**4 - 2*k - 9*k**3 + 3*k**4 - 3*k**4 - 2 to h + l*k + o*k**2 + a*k**3 + y*k**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.1057 + 0.0343. Let v = 0.14 - r. Which is the second biggest value? (a) 5 (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*z + 3*z - 3*z)*(5 - 3 - 1)*(39 - 19 - 24)*(z + 1 - 1)*(3 - 3 + 3) to the form s*z**2 + d + t*z and give s.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 10:32 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 10*b**3 + 11*b**2 + 2. Let d(f) = 19*f**3 + 22*f**2 + 5. Let z(u) = -5*c(u) + 2*d(u). Find the third derivative of z(i) wrt i.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*h**4 + 1509474*h**3*j**2 + 2*h*j**2 + 243*h*j + 2*h - 8*j**2 - 543*j wrt h.\nAnswer: -372*h**2 + 9056844*h*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -1\/6*i**3 + 1\/3*i**4 + 0*i**2 + 0 - 4*i. What is the second derivative of v(h) wrt h?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t + 1. Let c be u(1). Let n(p) = -p**2 - 206*p + 3548. Let k be n(16). Let q(i) = -2*i + 1. Let j(g) = g - 1. Determine c*q(w) + k*j(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 529, 1178, 2085, 3250, 4673, 6354?\nAnswer: 8293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 + p + 15. Let y be x(0). Let m = 15 - y. What is the second biggest value in m, -0.3, 2, -1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1. Let o(t) = 251*t + 9. Determine 2*o(z) - 18*v(z).\nAnswer: 502*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 7400?\nAnswer: 22200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 7 and -0.409001 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - x + 55, -3*m + 5 - 61 = -2*x. Let y = 32 + m. Calculate the remainder when 26 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45*5595\nAnswer: -251775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 29\/5. Let h = -2\/525 + 152\/525. Let l = -10 - -7. Put c, l, h in increasing order.\nAnswer: l, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/2*(267\/(-6) + 1). Let p = u + 89. Let j(c) = p*c + 22*c**2 + 1 + 2*c - 23*c**2 - c. Calculate j(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 31 = 6, 73 = 2*q - 0*q + 5*d for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.9 - 9.900027. Round p to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215800 and 8840.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71171 is divided by 2562.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.6 in -1\/3, 16.7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -819635 (base 12) to base 10\nAnswer: -2027849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 12, -4*z - 5*x = -z - 48. Suppose -4*w - z*w + 240 = 0. Solve 0 = 2*g + 4*d + 2, -2*g = -3*d + w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 10:01 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317496490?\nAnswer: 2, 5, 1319, 24071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 12*j**2. Let d(g) = 76*g**2. Determine d(h(z)).\nAnswer: 10944*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, -0.3, -35482443?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 6:49 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -574 + 562. Let b be (-2)\/(-12) - 70\/k. What is the greatest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -37, 4, 18\/11, 3\/7 in decreasing order.\nAnswer: 4, 18\/11, 3\/7, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*s = -243 - 541. What is the remainder when 66 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s**3\/s)))**(-6\/11)*(s*s**(-8)\/s*s*s)\/((s*s**(2\/15))\/s) assuming s is positive.\nAnswer: s**(-1102\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 10. What is the greatest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t + 7. Let j be 55\/(-15) - (-4)\/6. Let o be (j + 2 - 1) + 7. Suppose l + 5 = -4*l + o*p, -2*l - p - 14 = 0. Calculate v(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66 in -0.1, 1\/5, 10, -1\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 14830*w - 163186. Give g(11).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/3 - 2*g**2\/3 + 1\/3.\nAnswer: (g - 1)**2*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -51*h - 8. Let y(o) = 53*o + 8. Determine -6*i(q) - 5*y(q).\nAnswer: 41*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -9\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j = 3. Suppose d = 4*x + j, -3*x + 27 = -0*d - 3*d. Calculate the remainder when 41 is divided by (1*(-1 + d))\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 422 - 50062?\nAnswer: -46340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -17. Solve -u + 4*a = -6, -2*u + 5*a + 9 + i = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3843 - -11843. Round a to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46457\/70 + 664. Let t = 13\/14 - l. Which is bigger: t or -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -65\/4319496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -1103044?\nAnswer: -1103042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + q - 19, -9*n = -10*n - 4*q - 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -2524, -5, 0 in increasing order.\nAnswer: -2524, -5, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-1))\/((-3)\/(-15)*10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2 + 7. Let h be (6\/15)\/((-2)\/(-20)). What is the remainder when -2 - -26 - h\/(-4) is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9448997 and 3.1.\nAnswer: -9448993.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 5\/(-2)*10. Let k = 21 - a. Let x = 144 + -128. What is the remainder when k is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7\/27 - 11\/27. What is the third smallest value in -0.4, 41, b?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1730 + 2153 = u. What is the greatest common factor of 18 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15702 take away 5?\nAnswer: -4.84298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672539703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 16631254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6749, 6356, 5951, 5528, 5081, 4604, 4091?\nAnswer: 3536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + m - 2*j - 16 = 0, 5*j = 3*m - 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -41*l**4 - 10*l**2 - 6*l + 5. Let n(q) = -40*q**4 - 9*q**2 - 5*q + 5. Let c(s) = 5*j(s) - 6*n(s). Find the third derivative of c(i) wrt i.\nAnswer: 840*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6, -5*t + 10*t = 3*z + 181. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9496, -9494, -9492, -9490, -9488?\nAnswer: -9486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 48 = -36. Suppose y = -y - 3*q + 4, 14 = b*y + 3*q. Solve 0*g - 18 = g - 4*l, y = l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3988.2 to the nearest one hundred.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, 14, 51, 90, 131, 174, 219?\n\"Answer: w**2 + 32*w - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1441358 * 4\nAnswer: -0.5765432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 7*p**2 - 9*p - 5. Let m be u(-8). Suppose -m*i - 38 - 46 = 0. Let n be -3 + 2 - 36\/i. Which is the closest to n? (a) -1 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54575 divided by -185?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99671079*f**2 - 354041*f - 172.\nAnswer: -199342158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 215 + -442 + 169 + (30 - -1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 692298.\nAnswer: 2, 3, 38461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 1102*h - 262281. Give c(238).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -693*h + 691*h - 80 = -4*p, 0 = -3*p - 3*h + 96. Solve -2*a + 4 = -2*t, 4*t + p = -4*a - 0*a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10220002 (base 3) to base 8.\nAnswer: 5425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*p = -10242, -2*p = 2*v + 2*v + 40968. Let b = v - -204957\/20. Find the common denominator of b and -2 + 10\/4 - (-381)\/36.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8528 divided by 1066?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7062 is divided by 277?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-1020)*(-255)\/(-595).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49149207140.310146 + 49149277115. Let f = -70113.69 + b. Let r = f - -139. Round r to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 962252850 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21011 + 1121?\nAnswer: -12120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 382\/(-5) + (1 - 0). Let p = m + 76. Let n be (-4)\/(-32)*34 + -4. Which is the second biggest value? (a) n (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8*h + 112. Determine p(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.25492 to 3 dps.\nAnswer: -0.255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 829736 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f**3 - 83 + 83 + (-f**2 - f**2 + 5*f**2)*(-14*f - 7*f + 50*f) to the form c + w*f**2 + n*f + l*f**3 and give l.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 7 = -l, 132*g - 129*g = -4*l - 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 0. Let j(f) = 5*f - 5 + 3 + f**2 - g. Is j(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h + 5*j = -22, h + 2*j = 0. Let v(m) = -2*m + m - 4*m + h*m. Let p(c) = -3*c**2 + c**2 - c**2. Determine v(p(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 + 3*a**2 - 3*a**2)*(-5 - 3 + 0) - a**4 + 2*a**4 + 0*a**4 - a**4 + 0*a + 0*a.\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = 2*n + 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*n**2 + 6*n**4 - 3 - 3*n**4 - 48*n**2 - 3*n + 2*n wrt n.\nAnswer: 36*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/15 - 4\/(-20))\/((-282)\/(-235)). What is the second biggest value in v, 317, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -18663.\nAnswer: 18663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 220722787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(77)*-1)\/(-3*sqrt(63) - sqrt(7) - ((-2*sqrt(84))\/sqrt(12) + sqrt(7))).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/22)\/(723\/13255))\/(42\/(-9))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -45258 + -137349?\nAnswer: -182607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923.87 take away 120.6?\nAnswer: 1803.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 - 78*f**2 - 151*f - 592. Give c(41).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - q**2 + 2*q + 1. Give w(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by -20510\nAnswer: 39\/20510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 12\/2 - -13. Suppose -z*w + 14*w - 15 = 0. Suppose -w*a = -5*a + 24. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1160*x - 1144*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211791 (base 10) to base 3.\nAnswer: 101202112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*a = 12, 75 = 5*y + 2*a + 7. What is the least common multiple of y and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -418 - -417.982513. Round z to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.03 and 451335172.29.\nAnswer: 451335172.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 116599.7 litres?\nAnswer: 116599700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 62014 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (183 + 541 - 439)*(-3*i - 2*i + 7*i).\nAnswer: 570*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 7*n - 5. Let m(b) = b**3 + 7*b**2 + 5*b - 1. Let g be m(-6). Let w be z(g). Solve 3*c = 6*c - 9, w*k + 5*c - 35 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -s - 4*q, s + 0*q + 6 = q. Let g(u) = -3*u**2 + 5*u + 6. Let a be g(6). What is the remainder when (-443)\/s - (-16)\/a is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 3*k**2 + 12*k - 28. Let q be z(3). Suppose 0*i = -i + 704. Suppose q*p + 0*p - i = 0. What is the greatest common factor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**8\/112 - 11*p**7\/7 + 2909*p**6\/40 + 1652*p**5\/5 - 1176*p**4 + 17*p**2 + p - 12. Find l such that q(l) = 0.\nAnswer: -3, 0, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/4 - 153063*n**3\/2 - 1454033*n**2 - 15152337*n\/2 - 24794667\/4 = 0. Calculate n.\nAnswer: -306107, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24245 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*s**3 + 259*s**3 - 130*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 42 = -a. Solve 0 = 5*t - a*t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-30)*(-12)\/(-21)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -6 - 9) + -4 - (7 - 4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*f + 4*f + 8377*f**2 - 1846*f**2 - 21*f.\nAnswer: 6531*f**2 - 41*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40950 and 135954.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7 = -s + d, 2*d = 3*s + 1. Let y(x) be the second derivative of -1\/2*x**2 + 0 - 26*x + 3\/4*x**s - 3\/8*x**4. Factor y(j).\nAnswer: -(3*j - 2)*(3*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, j: 2, o: 3}. What is prob of sequence bj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 152123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/178066 and 43\/6083.\nAnswer: 1958726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 - (-2 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3887052077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 24*k**2 + 1533*k + 10. Let z(h) = -37*h**2 - 2301*h - 16. What is 8*j(d) + 5*z(d)?\nAnswer: 7*d**2 + 759*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 - 4*n**3 + n**3 + (222*n**2 + 73*n**2 + 269*n**2)*(n + 0 + 0).\nAnswer: 563*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3962535*q**3 + 3054652*q**2 - q wrt q?\nAnswer: 23775210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 11*j**2 + 11*j + 14. Let t be p(-10). Solve -10 = t*h + h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + sqrt(432) + -5 + (sqrt(1200) - sqrt(1200)*-1 - (0 + sqrt(12) + sqrt(12) + 2)))**2.\nAnswer: -768*sqrt(3) + 6976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 77915.\nAnswer: -77914.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1375, -5457, -12251, -21757, -33975, -48905, -66547?\n\"Answer: -1356*q**2 - 14*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -793*b. Let v(s) = -3865*s**2. What is v(w(y))?\nAnswer: -2430501385*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -207, -207, -209, -213, -219?\n\"Answer: -g**2 + 3*g - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 606 and 16362?\nAnswer: 16362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88 - -18) + -138 + -95.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/34189 and 35\/9967.\nAnswer: 340761763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -27009685531831 from 2.5.\nAnswer: 27009685531833.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 3061110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**(-1)\/a)\/a*a)**(2\/17)\/((a*a**4)\/((a\/(a**3\/a))\/a*a)) assuming a is positive.\nAnswer: a**(-104\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**2 - 2*u + 1. Suppose -4*b + 10 = -4*a + 2*a, -5*b + 5 = 5*a. What is w(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Let p be (-9)\/m*(-4)\/6. Suppose -n = -0 + p. Which is smaller: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42012520 (base 7) to base 13\nAnswer: -969031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -37, -74, -131, -214?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 298005 * 2\nAnswer: 596010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1365511 - 86025302\/63. Let v = -207\/7 + s. Suppose -v*h**5 + 0 + 0*h + 8\/9*h**2 - 14\/9*h**4 - 8\/9*h**3 = 0. What is h?\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694094.\nAnswer: 2, 23, 79, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-10))\/((-3)\/240). Suppose -2*d - 3*x + 35 = c, 3*x - 15 = 0. Solve d*y + 5*s = -0*y - 18, -4*y = -4*s + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 10:38 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**1\/c*c\/(c*c**18*c))\/(c**(-1\/2)*c**(6\/17)) assuming c is positive.\nAnswer: c**(-607\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54018, 107698, 161390, 215100, 268834?\nAnswer: 322598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbufuuapfbbu. Give prob of sequence upf.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -950, -952, -954, -956, -958?\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -52*c + 1. Let v be p(-4). Let t(m) = m**2 + 21*m - 283. Let k be t(0). Let d = -264 - k. What is the greatest common divisor of d and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11122 (base 3) to base 15\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -156\/35, -7?\nAnswer: -156\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 2*q + 12 - 2*q. Let p be i(-9). Is 5\/(p*(-1)\/(-141)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 68\/(-6)*1*-3. Let j(l) = -9*l - 190. Let u be j(-23). Calculate the greatest common factor of y and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 733\/856 - 7\/8. Which is the second smallest value? (a) j (b) 3\/2 (c) 0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 9 = -7*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13600 is divided by 4390.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39 plus -70265035?\nAnswer: -70265035.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95755*o**4 + o**2 - 62993?\nAnswer: -2298120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2\/2 - 279*h - 4004 = 0.\nAnswer: -14, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 + -113 - (-21 + 41)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 6*m + 7. Let i be a(6). Let d be i\/(7\/(-2)) - -7. Solve x = d*w - 2*x + 10, 0 = w + 4*x + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11587*i*j**2*s + 4*i*j*s + i*s - 45*i + s - 1 wrt j?\nAnswer: -23174*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/4, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2403056 is divided by 1260?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*((-2)\/(-8))\/(14\/14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(931) - -2*sqrt(931)))**2.\nAnswer: -42*sqrt(19) + 8380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + 1 + (223 - 211) - (9 - 17 - -7)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59271*c**3*p + 174214*c*p wrt c.\nAnswer: -355626*c*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254755 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cf - -3?\nAnswer: d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 26, -99, -2 in increasing order.\nAnswer: -99, -2, -1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5431 (base 7) in base 13?\nAnswer: b59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/6110 and -61\/1514.\nAnswer: 4625270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*f - 7. Suppose f*u = -0*u. Suppose u = 17*k - 16*k + 5. Which is the smallest value? (a) -0.05 (b) k (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -20*z - 1. Let n(a) = -92859*a**2. What is f(n(c))?\nAnswer: 1857180*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y + 1. Let a(f) = 17*f - 1. Let t(b) = 6*a(b) + 13*v(b). Let r be ((1 - 2)*-5)\/1. Give t(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -5*z - 75, 110*k - 107*k = -4*z - 60 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgdydfdeeye. Give prob of sequence ydyf.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/135 and 71\/195.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16746 + -251299\/15. Let k = -5977\/5 + 1203. Let x = i + k. Which is greater: x or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -612024 (base 7) to base 2.\nAnswer: -11001011000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -14 - (-1 + 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1034, 73, 492 in descending order.\nAnswer: 1034, 492, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 3:20 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 6*v**2 + 59*v - 48. Determine l(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2)*10\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 + 16. Let m(n) = 4. Let l(r) = -12*m(r) + 3*z(r). Let h(q) = 27*q**2 + 1. Determine h(l(i)).\nAnswer: 3888*i**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, s: 3, p: 5, j: 3, y: 1, c: 1}. What is prob of sequence jjps?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qttaqqttoatttttota. Give prob of sequence att.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.614543 rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93 + 287\/3. Let z = -77\/3 + 31. Factor -y + 38\/3*b**2 + z*b + 14\/3*b**3.\nAnswer: 2*(b + 1)*(b + 2)*(7*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 286158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 53*q - 17 + 19)*(64*q + 12*q - 238*q).\nAnswer: 7614*q**2 - 324*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 4. Let s be v(7). Suppose s*f - 3*c - 32 + 14 = 0, 8 = f - 3*c. Suppose 2*q = -3*q + 69 - 49. Sort q, -0.3, f in descending order.\nAnswer: f, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(1\/3)*z*z*z)\/z)**(-1)\/(z\/z**(-12)*z*z*z*z**(10\/3)*z))**(11\/2) assuming z is positive.\nAnswer: z**(-374\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 y, 1 j, and 1 k when four letters picked without replacement from {l: 1, k: 1, y: 2, p: 1, s: 2, j: 2}.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1114 + -924. Calculate the greatest common divisor of w and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 + 2*b**2 - 517*b + 1034. Give l(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28, 75, 114, 115, 48, -117, -410, -861?\n\"Answer: -5*y**3 + 26*y**2 + 4*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2897, -4, -183, 2, -2.\nAnswer: -183, -4, -2, 1, 2, 2897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 153*n + 13019 = -117*n for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.5 + 15. Let v = 4.5 + x. Let b = v + -39.0000017. What is b rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*h - 6 + 0 = 0, -2*m = 4*h + 14. Let p(q) = -22*q + 6. Is p(m) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1159*m - 2*d = -1155*m + 36, 5*m - d + 3 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 9:14 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -63*z**2 + 22*z - 19. Let m(x) = 28*x**2 - 10*x + 9. Calculate 6*g(j) + 13*m(j).\nAnswer: -14*j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 7:21 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1331) - sqrt(1331)*1) + (sqrt(11) - (-4*sqrt(44)\/sqrt(4) + sqrt(11)))**2 + 4*(sqrt(11) + -1).\nAnswer: 4*sqrt(11) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 56. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2353216 times -0.1\nAnswer: 235321.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 23724*j - 70353522.\nAnswer: -2*(j - 5931)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2958*p + 791*p = 775*p + 11896 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**19*(i*i*i*i**(-2\/47))\/i assuming i is positive.\nAnswer: i**(985\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6601.97 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*20*10\/(-440)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 902 - 901.5. What is the third biggest value in -3, w, -0.0445?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.703713ml in litres?\nAnswer: 0.008703713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*n + 5*a, 0 = -n - 5*a - 5*a - 14*a + 34 + 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3366*x - 14168 = 3674*x for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*l + 4*l + 372, 459 = 5*b - 4*l. Let c = b + -186. Which is greater: -92 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2. Let r(w) be the second derivative of 0 - 1\/6*w**3 + 0*w**2 - 9*w. Calculate r(y(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -0.07.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**1*l*l)*l*l)\/(l\/l**(1\/4)))**48\/((l\/(l*l**(-1)))**(-29))**(-12\/11) assuming l is positive.\nAnswer: l**(-216\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 7)*(0 + 2*k**5 + 0) + 83*k**5 + 50888*k - 3*k**2 - 50888*k + (-2*k**3 - 4*k**3 + 4*k**3)*(k**2 - 5*k + 5*k).\nAnswer: 89*k**5 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in 7\/2, 1, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2953697798 + -2953697765.99999966. Let p = -32 + u. What is p rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**5\/10 - 5*t**4\/8 + 28*t**2 - 13. Let d(b) be the second derivative of r(b). Let i(q) = q. Determine d(i(p)).\nAnswer: -6*p**2 - 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - s**2 + 5 + 0*s**2 + 0*s. Let v(o) = -o**2 + o + 6. Suppose -g + 6 = 3*i - 14, 30 = i + 5*g. What is i*b(z) - 4*v(z)?\nAnswer: -z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331818777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, u: 3, y: 1, a: 3, m: 2}. Give prob of picking 2 u and 2 m.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/9)\/w**2)**(-15\/2)*(w**(-4\/5)\/(((w**9*w)\/w)\/w))\/((w\/(((w*w**(2\/3))\/w)\/w*w))\/w*w\/(w*w**(-2\/11))*w) assuming w is positive.\nAnswer: w**(496\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + i = -2, 54*u + 5*i = 53*u - 10. Let x(p) be the third derivative of 48*p**2 + 0*p - 1\/24*p**4 + 5\/6*p**3 + u. Determine x(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5711698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.5 - 0.5. What is the closest to -1 in 4\/7, 4, c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 39*z**2 - z + 5*z - 56*z**2 + z**3 + 9. What is the remainder when n(17) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 + 20*s - 6. Let f(h) = -h**2 - 10*h + 3. Let q(l) = -5*f(l) - 2*x(l). What is q(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/265175? (a) 1 (b) -0.13 (c) -0.1 (d) -2\/13 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543040*m**3 - 544075*m**3 + 2 + 1085676*m**3 - 2.\nAnswer: -1439*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 165140, 660489, 1486072, 2641889, 4127940?\n\"Answer: 165117*j**2 - 2*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*v - 91 - 19 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 8*q. Let z(y) = 2*y**2 - 9*y. What is 4*p(u) + 3*z(u)?\nAnswer: -2*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -3*f + 2*b + 9, 3*f + f - f - 109 = 62*b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*z + 23*z + 3. Suppose -3*a + 15 = 3*y, -z*a = -5*y + 2*a + 25. Solve r + 2 - y = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -428 + 11930*q**2 + 13508*q**2 + 221 + 207.\nAnswer: 25438*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2 + 2150*v + 4280 = 0 for v.\nAnswer: -428, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z + 18. Let a be (34\/6)\/(((-112)\/14)\/(-24)). Give y(a).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 32*g**2 - 36*g**2 + 0*g + 1 - 2*g. Let h = 3673 + -3675. Determine q(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-52) + (-249)\/(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*n - 11, -5*n + 2 = -3*l. Suppose 5*s = r + 30, 0*s = -s + 4*r + l. Let m(d) = -6*d + s*d - d. Let a(u) = 2*u. Give m(a(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9840\/108361 + -1\/9851. Let k be (-1 + (-18)\/(-17))*2. Let b = 271.94 + -272. What is the closest to -1 in k, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.2182nm?\nAnswer: 0.00000082182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -11620?\nAnswer: 11617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -22*l - 55. Let g be s(-22). Calculate the greatest common factor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5262 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from {m: 3, g: 3, f: 2, k: 1, l: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2317 or 1?\nAnswer: -2\/2317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 28*w**2 - 6*w - 26. What is the hundreds digit of q(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2. Let b(s) = -11402*s + 5. What is b(k(a))?\nAnswer: 11402*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2207684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -71896\nAnswer: -1\/17974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 6*m**4 - 2026*m**3\/7 - 10382*m**2\/7 - 1642*m - 3180\/7 = 0?\nAnswer: -10\/3, -1, -3\/7, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -897 + 3589\/4. Let p(b) be the first derivative of 0*b**2 + 0*b**3 - s*b**4 + 6 + 3*b. Find the first derivative of p(k) wrt k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 2*x + 5. Let t be r(-4). Let d = -25 - t. Let j be (3 - 2)*69 - -1. What is the highest common factor of d and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/187*-11*(-3)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**2 + l. Let n(f) = -f**2 + f. Let p(z) = z - 5. Let x be p(3). Let t(a) = x*s(a) + 6*n(a). Factor t(k).\nAnswer: 2*k*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (988\/(-190))\/(6\/(-1775415)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**6\/120 + t**5\/30 - t**4\/6 - t**3\/6 - t**2. Let z be f(-3). Let i = 6 + z. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. Suppose -k = 2*m - 0. Let c = 2\/443 - 1337\/1772. Which is greater: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (-72 + 105)) + 72\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnqnnqqcnnq. Give prob of sequence qc.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 10. Let q(t) = t**2 + 21*t + 5. Let l be q(g). Solve l*y = -5*a, 3*y + 2*a + 0 = 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(-48)\/56*3\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*s**5*u - s**5 + 3*s**4*u + 34*s**2 - 6*u wrt s.\nAnswer: -600*s**2*u - 60*s**2 + 72*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - 7*j - 1. Let r be w(3). Let v(l) = 3*l**2 + 5*l. Let q(x) = -x**2 - 2*x. Calculate r*q(f) + 2*v(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-465)\/(-6)*(-132)\/(-55). What is the highest common factor of o and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 940*m + 20*m**3 + 0*m**2 - 937*m - 3*m**2 - 8*m**5 - 1013 wrt m.\nAnswer: -160*m**3 + 120*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -1245 (c) -6.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-12)*16\/156\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 198 + -195. Solve -7*o + c*o = 5*n - 13, -11 = -3*n - 4*o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 divided by -88.\nAnswer: 117\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*g = -44341 - 191667, -2*g - 59008 = -f. Suppose -y = -2*y - f. What is y rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -38. Let i be (0 + 1)\/((-1)\/w). Let u = -1 - -1. Solve i*z + 3 = o - u*z, z = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1076504 (base 10) in base 15?\nAnswer: -163e6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -2*i + 3*b - 25863, -i + 5170 = -2*b. Let o = i + -41429\/8. Let p = -1\/4972 - -20567\/4972. Find the common denominator of o and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -14*v - 62. List the prime factors of i(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/h**(1\/4)))**18*(h*h**(-1\/10)\/h)\/h*h**9*h*h assuming h is positive.\nAnswer: h**(162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27410*s + 71086 wrt s?\nAnswer: -27410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/11 + 822*m\/11 = 0. Calculate m.\nAnswer: 0, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**4\/24 - 3*a**3 + 8*a**2. Let t be b(-4). Let m = 0 - t. Calculate the lowest common multiple of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 19 = -5*s - 5, 2*u + 2*s = 0. Let c(g) = 9 - u*g + 8*g + 5*g**2 - 9. Let l(a) = a. What is l(c(m))?\nAnswer: 5*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -0.1, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -286 + 155*f + 77*f + 286 in the form o + k*f and give k.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -12*v**2 + 4*v + 0 + 41 - 20 - 25*v. Let a(k) = 3*k**2 + 5*k - 5. Let u(r) = 21*a(r) + 5*z(r). Let n(l) = 3*l. Give n(u(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 221*s**6\/24 - 977*s**5\/30 + 31*s**2 + 3. What is the third derivative of u(g) wrt g?\nAnswer: 6630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from {a: 1, o: 1, w: 1, e: 1, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-183*j + 86*j + 116*j + 83*j + 26)*(3 - 6 + 2).\nAnswer: -102*j - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 485ad (base 16) to base 2\nAnswer: 1001000010110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2 - 6. Let n(q) = -q**3 - 6*q**2 - 4*q + 4. Let h be n(d). Let x be (3 - 0)*(-28)\/h. Solve 0 = 5*y + 3*p - 25, -4*p - 2 = y - x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 6 + 12 - 20*m**2.\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.66065 to zero decimal places.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 872960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 1500.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_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: Express -4701*p**2 - 4 - 6*p**3 - 4722*p**2 + 9443*p**2 as l + w*p**3 + r*p**2 + o*p and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1013 (base 4) to base 3\nAnswer: -2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence maee when four letters picked without replacement from mdmmdmaeedadeddmdddd.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/804804 and -11\/117.\nAnswer: 2414412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 - 68. Let y(m) = -10*m**2. Let i(l) = 29*l**2. Let n(o) = g*y(o) - 3*i(o). Let b(w) = 10*w**2. Determine n(b(d)).\nAnswer: -700*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -525337*t**2*v - 8*t**2 + 118*t + 21*v + 1 wrt t.\nAnswer: -1050674*v - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Suppose -20 = -60*s + 55*s. Suppose -4*f - 4 = s*j, -4*f - 10 = -4*j + 6*j. Sort 0.5, d, j in descending order.\nAnswer: j, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*q + 0*q = 1, -2*t + 22 = 2*q. Let g = -2 - -3.2. Which is the smallest value? (a) t (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.45 + -1.95. Let o = -707 + 824. Put o, 0.2, g in ascending order.\nAnswer: 0.2, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**2 - 3*i**2 + 21*i**2.\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 477058.\nAnswer: 1\/238529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Calculate the highest common factor of 64 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -19*d + 4. Let s(c) = -6*c + 1. Let z(n) = 2*a(n) - 7*s(n). Let m = 606 - 607. What is z(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/11 (b) -0.07 (c) 1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11698*g**2 - 2*g - 57 wrt g.\nAnswer: 23396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*(sqrt(475)*2 + -5)**2.\nAnswer: -300*sqrt(19) + 5775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 7:50 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h + 13*h**3 + 4*h - 3 - 23*h**3 - 4464*h**2 + 14*h**3.\nAnswer: 4*h**3 - 4464*h**2 - 6*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -428087\/14 = -30579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1359 + 4086 + 393 = 99*a - 6438 for a.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + ((-8)\/16 - 5\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1593768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.1. Let k be (15 - 8) + (-968)\/16*6\/51. What is the closest to j in k, -10\/3, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85104473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 1533636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3164 + -3262. Let j = -96.2 + 188.4. Let l = j + d. Round l to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 g when two letters picked without replacement from {h: 1, x: 2, d: 1, m: 1, g: 1, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 927 - 715. What is the remainder when u is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -54 - 0\/(-1 - 0). Let o be -1 - p\/4*-2074. What is o rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -1157da64?\nAnswer: -1157da69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 10:53 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4*v = -1 - 43 - 6, -3*i = 4*v - 62 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 414?\nAnswer: 414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001675553 rounded to 6 dps?\nAnswer: -0.000168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f + 4. Give l(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 409238138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -27 + -6 + -2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8168 divided by -80\nAnswer: -1021\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -7. Calculate the smallest common multiple of b and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6796*a**3 - 6746*a**3 + 13655*a**3.\nAnswer: 113*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3213 is divided by 803.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/3 + 1\/9. Let r = 0.3 + 0.7. What is the second biggest value in 3, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 + 287*t**2 + 463*t - 4075. Calculate m(145).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76*g**2*u**2*v**3 + 5*g**2*u*v**2 - g**2*u + 3*u**2*v**3 + 6*u**2*v wrt v.\nAnswer: -456*g**2*u**2 + 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 7*x - 14 = 0. Suppose 0 = -4*q + 5 + x. Suppose q*n + 9 = 81. Solve 4*w - 14 = f, 5*w + 3*f - n = f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/256861 and 19\/4485850.\nAnswer: 937542650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-12) + (-57)\/(-18). Suppose -4*q = p - 201980, 0*q = -3*p + b*q + 606015. What is p rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -4*z - 15, 2*j + 29 = 31 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 611*p**6 + 1989*p**5 - p**3 - p**2 - 1261*p - 224636 wrt p.\nAnswer: 73320*p**3 + 119340*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4411 + -4416. Which is smaller: l or 1\/1224?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -839, -1935, -3475, -5453, -7863, -10699, -13955?\nAnswer: -17625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddyf when four letters picked without replacement from sflrddy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(2\/9)\/c)*c*c\/((c\/((c**(-3\/22)*c*c)\/c))\/c*c*c)*c*((c\/c**8)\/c*c)**(-2\/17) assuming c is positive.\nAnswer: c**(15029\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 4\/7, -2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 6, -0.2034, 2\/7?\nAnswer: -0.2034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -145, 29, 421, 1031, 1859?\nAnswer: 2905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*p - 10. Let j be 2 - 0*1\/p. Suppose 2*z + 3 = -h - 6, z + 4*h + 15 = 0. Put j, -5, z in decreasing order.\nAnswer: j, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/147168 and 113\/4088.\nAnswer: 147168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 457*y + 127. Let p(h) = -423*h - 126. Calculate -11*n(i) - 12*p(i).\nAnswer: 49*i + 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8555712 or 6\/11?\nAnswer: -8555712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3 = 2*f, -4*n = -4*f - 12 - 0. Let m be 0\/(n*5*8\/20). Solve -4*g + 3*g - 10 = -2*a, m = 5*g + 3*a - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38718931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -152\/33 + 2839\/165. Let g = -61\/5 + p. Which is the second smallest value? (a) -2 (b) g (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 7 = -5. Let w(s) = 10*s**2 + 9*s - 8. Let d(g) = -3*g**2 - 2*g + 1. Let x(k) = 3*d(k) + w(k). Give x(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 19*w - 3. Let c(z) be the first derivative of z**2\/2 + 2*z - 10. Let r be c(-17). Is v(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2476 + 9835\/4. Calculate the common denominator of q and -101\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*l**3 + (-2*l - l + l)*(4*l**2 - 2*l**2 - 4*l**2) + 3*l**3 - 14*l**3 + 10*l**3 + 90.\nAnswer: 5*l**3 + 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32811021 to the power of 1\/2, to the nearest integer?\nAnswer: 5728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-40))\/(36\/20)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 0 - (-5 - -10)*(-12)\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-2) + (1393\/199)\/((-12)\/(-20))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 4*n + 8. Let c = -334 - -332. Let m be h(c). Solve -5*l + 3 = p, p + m*p - 5*l - 15 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5125, -5117, -5097, -5059, -4997, -4905, -4777?\n\"Answer: x**3 + x - 5127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 1, o: 2, p: 1, h: 1, j: 1}. Give prob of picking 1 d and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1414127480 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**4 - 9129*l**3 - 1063*l**2 - 602976566*l?\nAnswer: 12*l**2 - 54774*l - 2126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**2 - 1. Let g(f) = 38 + 3*f**2 - 18 + 4*f**2 - 20. Calculate l(g(r)).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 111.83 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 8*r - 316. Let v = -68 - -125. Calculate the remainder when v is divided by r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32179*b**6 - 2070*b**4 - 325*b**2 + 740390 wrt b?\nAnswer: 3861480*b**3 - 49680*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i + 0*i + 3*i. Let f be (-6)\/4*32\/6. Let k(q) be the first derivative of -q**2\/2 - 2606. What is f*k(b) - 5*z(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 135052 and -3.\nAnswer: 135049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -672, 1, -1, -27, -21 in decreasing order.\nAnswer: 1, -1, -21, -27, -672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**3 - 4 + 4 - 3*i**3 + 7*i**3 + i**3 + i**3 - 4*i**3 + 2*i**3 + (0 - i**2 + 0)*(5*i + 0*i - 4*i) to the form a*i**3 + h + p*i + g*i**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0 + 2. Let v be (-16*(-20)\/8)\/j. Calculate the greatest common divisor of 60 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-58 - 4) + (-10302)\/(-170)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-7) - (-66)\/42. Suppose -i - x = -5. Suppose -5*h - 5 = -i*s, -3*s + 6*s = 4*h + 1. Which is the smallest value? (a) 1.2 (b) s (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 17 - 13*y**2 + 4\/3*y**3 + 14*y. Calculate the remainder when 108 is divided by v(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -394900 to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100.31 - -99.81. Suppose -3*d = 2*d - 3*s + 65, 3*d = s - 43. Sort d, 2, 5, g in ascending order.\nAnswer: d, g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 7 = -3*f + f, -4*j - 50*f - 100 = -24*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 1\/4*x**4 + 0*x**2 + 1\/20*x**5 + 1\/3*x**3 - x + 0. Find w such that d(w) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 104.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i**2 - 7*i**2 + i**2 - i**2 + 5. What is v(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2353083 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o**2 + 5070*o - 66916. What is i(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 435.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04431 + -25.02569. Let y = 0.07 + n. Let j = 24.982 + y. Round j to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067647349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402413958?\nAnswer: 2, 3, 19, 1061, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgstgssallsslsshlgtg. Give prob of picking 2 t and 1 h.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2576, -2575, -2574?\nAnswer: -2573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + i - 1064 = 5*i, i + 2 = 0. Let y = -53 + l. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76539650 to the power of 1\/2, to the nearest integer?\nAnswer: 8749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53395421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a = 25 - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1101121?\nAnswer: -1101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -168 (c) 0.132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.68766 days to nanoseconds.\nAnswer: 145813824000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*i + 24. List the prime factors of (8\/10)\/(i\/(-140)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from aauuuuauuauuuaaa?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 + 4*d**2 + 2*d - 1. Let x be p(-1). Let c be 5 - (-18)\/15 - (4 - x). Let -c*g**2 + 0 - 2\/5*g**3 - 4\/5*g = 0. What is g?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -2103236515?\nAnswer: -2103236514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 5*m + 0*m + m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(2448)*-1 + (sqrt(68)\/sqrt(4))**2*1 + sqrt(17).\nAnswer: -10*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13669 + -3.8.\nAnswer: 13665.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 19, 21\/11 in increasing order.\nAnswer: -2\/9, 21\/11, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15884*l**2 + 7947*l**2 + 7940*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**2\/5 + 22520613*s\/5 - 22520616\/5 = 0?\nAnswer: -7506872, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/32*2*13832\/1482?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) - 4*50\/(-60). Suppose -34*l = -s*l - 3060. Is 100 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 0.2, 0.6 in increasing order.\nAnswer: 0.2, 0.6, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97\/10 + -19\/2. Let i = -3399 - -3403. What is the third smallest value in 1\/7, j, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9 - 2*z - 22*z**2 + 2*z**3 + z**4 - 12*z**2 - 2*z**3 wrt z.\nAnswer: 12*z**2 - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/99918 and -67\/1300.\nAnswer: 4995900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8290\/26 - 6\/78*-2.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b - 8. Let q = -349 + 350. Let a be ((3 + -3)\/q)\/b. Solve 2*c - 10 + 0 = a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1383.\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*k**3*t**2 + 4090*k**3 - 329*k**2*t**2 wrt t?\nAnswer: 6*k**3*t - 658*k**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 16. Let z = -0.1 + -0.3. Let h = z - -0.4. What is the closest to -1 in -1\/3, d, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 22602*n - 2 + 22636*n to the form w + v*n and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 (base 7) in base 3?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62226, 62260, 62300, 62352, 62422?\nAnswer: 62516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -652 + 0.271466\nAnswer: -651.728534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -96, 143, 480, 909, 1424, 2019, 2688?\n\"Answer: -a**3 + 55*a**2 + 81*a - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 s, and 1 z when three letters picked without replacement from lxmfszmf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cclzllp. What is prob of sequence clpz?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -413783.51145?\nAnswer: -413785.51145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*v + 16 = -7*v, v + 9 = g. Suppose g*n - 432 = 20. What are the prime factors of n?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605092 a multiple of 548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1538600 is divided by 2976.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12309 = 41*r + 11817 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 151256491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -144 and -13198875.\nAnswer: 1900638000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1700\/(-56))\/25 - (-4)\/(-14)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (21\/(-35) + 1)*-15 - -20 and 273.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 325432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 1364333.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.3 (b) -2\/7 (c) 469.2 (d) -21 (e) 0 (f) -1 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y - 69*y + 3822 = -27*y. Calculate the greatest common divisor of 5243 and y.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 799627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**3 + r**2 + 2*r. Let n be -1 - (-4 + 1) - 0. Suppose n*i + 2 = 8, -21 = 3*k - 5*i. Does 8 divide c(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -41*k**3\/3 - 1. Let g(b) = -23*b - 296. Let o(f) = -5*f - 64. Let n(v) = 8*g(v) - 37*o(v). Determine n(i(u)).\nAnswer: -41*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 3*r**2 - 2*r**2 + 2*r**3 - 3*r**3 to g + h*r**2 + x*r + u*r**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r - 31. Let m be o(21). Suppose 5*b = -3*f + m, 3*f = -6*b + 2*b + 28. Let h(n) = -n + 1. Determine h(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 82 (b) 1 (c) 1496\/3 (d) -1\/2 (e) 2 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/20 and -59\/164.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10035\/22 + 456. Let m be (0 + 0)\/(2 + -1). What is the second biggest value in m, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 889*m + 4453. What is i(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5 = -0. Calculate the smallest common multiple of 2\/(-3)*(q - 14) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 1. Let w = 7 + -5. Let n be u(w). Let i(x) = x + n*x**2 + 0*x**3 + 3 + 2*x**3 - x**3 + 1. Determine i(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26844 by -6711.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 - (51 + -53).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) 11 (c) 1 (d) 2058 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - c - 1. Let j(w) = 17*w**2 - 4*w - 4. Let g(n) = 4*h(n) - j(n). Let u(a) be the first derivative of a**3\/3 + 2. Determine g(u(t)).\nAnswer: -13*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2272, 4276, 6276, 8272, 10264, 12252, 14236?\nAnswer: 16216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 9 = -5*f, -2*l + l + 3 = -f. Suppose 0 = -l*i + i + 3*z, -18 = -i - 5*z. Solve 2*m + 5*h + 6 = 0, 0 = m - i*h + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i - 407 + 38*i**2 + 401 - 177*i**2 wrt i.\nAnswer: -278*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140412 is divided by 185?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*1080017.\nAnswer: -15120238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -176.23 + 173.23. What is the fourth smallest value in 1\/9, 1\/4, 0.1, o, 4\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154 a factor of 37760034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3 - -2)\/(969\/(-162) + 67 + -61)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/44205 and 34\/2613.\nAnswer: 38502555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 625 + -624. Let i be d\/(1 + -5 + 3). What is the closest to i in 1\/6, -2\/7, 1\/3, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**3 + 2*r**2 - 16*r + 7. Let b(q) = q**3 - q**2 - 1. Let h(j) = 6*b(j) - l(j). Let s be 5 - 21\/(6 - 27). Determine h(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 180331 - -5051?\nAnswer: 185382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 2368894084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5507, -11288, -16875, -22268, -27467?\n\"Answer: 97*x**2 - 6072*x + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2047 + 2047 + 6*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3 + 727*c**2 + 77*c - 1 wrt c?\nAnswer: 12*c + 1454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2134389 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 79. What is the units digit of 152\/11 + (-14)\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 9*c - 1. Let p be w(-5). Let u = p + -5. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 787\/332 + -259\/83. What is the closest to 0.1 in -1, j, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69296, 69375, 69454?\nAnswer: 69533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007991058 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 149*f + 46*f + 81*f in the form o + p*f and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.902947*-0.2.\nAnswer: -0.3805894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.422289 millennia to centuries.\nAnswer: 64.22289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**4 + 2*g**5 - 4*g**4 + (1 - 1 + g)*(0*g**4 + 3*g**4 - 2*g**4) + 132*g - 94*g**5 - 132*g.\nAnswer: -91*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + -2*sqrt(1700) + sqrt(1700))*4 + (sqrt(1700) + -4)*-3)**2.\nAnswer: -720*sqrt(17) + 15444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2. Suppose s + 4*g = 12, 0 = 4*s + s + g + 16. Let y(h) = -24*h. Let r(t) = -19*t. Let x(f) = s*y(f) + 5*r(f). Give m(x(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1762 (b) -2\/3 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798*z = -48216 + 65772 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11100 and 680100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**2 - 2*u**2 - 8*u**2 - 2*u**2 to the form x*u + i + f*u**2 and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2\/7 - 6960*r\/7 + 4036800\/7 = 0. Calculate r.\nAnswer: 1160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -48*c - 487. Let j be h(-13). Solve j = 2*d + 143 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2616418580?\nAnswer: 2, 5, 1439, 90911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 456320 and 958272.\nAnswer: 9582720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - -6) + (-18)\/(-2). Suppose 4*h = 4*i - l*i + 4, -5*h - i = -16. Suppose 2*k = h*k - 2. What is the nearest to k in -1\/2, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66936 (base 10) to base 7\nAnswer: -366102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 46 = -9*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1943750 divided by -5.\nAnswer: -388750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2025.5 - -2073.965. Let l = w + -48. Let z = l + -0.5. What is z rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19896270?\nAnswer: 2, 3, 5, 663209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p - 12*p + 1578*p**2 - 3219*p**2 + 1637*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = -14*a + 858. Calculate the greatest common divisor of 273 and a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -133737, -133736, -133735, -133734, -133733?\n\"Answer: j - 133738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -74\/7, -2\/5, -1\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**(-6\/5)\/((z\/(z\/(z*z**6*z*z)))\/(z*z\/(z\/(z\/z**(-2)))*z))*((z**(-6)*z)\/((z*z\/(z*z**(-2))*z)\/z))**(-39) assuming z is positive.\nAnswer: z**(3077\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*((2 + sqrt(396))*-1 + -2))**2.\nAnswer: 3888*sqrt(11) + 33372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*h = 13, v + v + h - 11 = 0. Let s(x) = x**3 - 6*x**2 + 5*x - 7. Let c be s(6). Let m = c - 19. Solve v = -m*l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 12*s**2 + 19*s - 8. Calculate the remainder when 249 is divided by b(-9).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 5:55 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 279*b**2 + 11*b + 199. Is k(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4 = 2*p, 0 = k + 5*p + 4 + 13. Put k, -154, 0, 1 in descending order.\nAnswer: 1, 0, k, -154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rissbbbsqbqqsibicqbs. Give prob of picking 1 c and 1 r.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 8*o**2 - 7*o + 1. What is the smallest common multiple of 5\/4 - 3\/(-4) and l(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 24866530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 241 = -4*t, 366 = 5*t - 4*p + 73. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 29*k**2 + 11*k - 317. Determine u(29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 494*n**6\/15 + 241*n**3 - 1118*n. Find the second derivative of k(q) wrt q.\nAnswer: 11856*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -767.583583 to one decimal place.\nAnswer: -767.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggxxxxff. Give prob of picking 3 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e0 - -2?\nAnswer: -dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 + 1275*c + 92231. What is w(488)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p. Let y(v) = -4210826*v. Calculate y(o(l)).\nAnswer: -4210826*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108476521?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 26. Suppose -67279 - 3746 = -t*h. Let i = h + -20205. What is i rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**2*p**3*u**2 + 4*n**2*p*u - n*p**3*u - 36*p**3*u**2 - 2*p**3*u - p**2*u + p*u**2 wrt u.\nAnswer: 8*n**2*p**3 - 72*p**3 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 2. Let v be f(-2). Suppose v = -0*i - 2*i + 24. Calculate the least common multiple of i and 21\/2*(-4)\/(-3).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*w**2 - 13*w + 3*w + 10*w + 0*w + 549*w**2.\nAnswer: 379*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**3 + 2*b - 2*b)*(2*b + b - 4*b)*(-6725 - 8310 - 22142) to i*b**4 + p + f*b**3 + v*b + j*b**2 and give i.\nAnswer: -37177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2700\/(-990))\/((-36)\/297*6)\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1300) + sqrt(52))\/(sqrt(64) - sqrt(16)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*q + 16, -3*l - 32 - 8 = -5*q. Let d = l - -16. Calculate the least common multiple of d and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 6*o**2 + 3. Let y(h) = h**2 - h - 6. Suppose -2*g - g = 0. Let l be y(g). Is w(l) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 0 - 31202*s.\nAnswer: -31202*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.04 + 0.04. Let g be (-10)\/780 - (-2)\/12. Which is the second biggest value? (a) 3 (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*i**3 - 897*i + 39*i**3 + 341*i + 33*i**3 - 122*i**3 + 32*i**3.\nAnswer: 13*i**3 - 556*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 4*l + 36. Let f(t) = 4*t**2 + 9*t + 1. Let h be f(-6). Let y = h + l. What is the remainder when y is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**5\/60 + 5*d**4\/12 - d**3\/3 - 10*d**2 - 1. Give h(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25724512 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1297 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -9. Suppose -4 = n - 3*n + p*o, -4*o - 14 = -3*n. What is the remainder when 28 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 79*p**2 - 2*p - 2. What is q(-1)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - 81*f**2 + 37*f - 227. Determine q(-41).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -490 + 823. Suppose 7*u = 1831 - l. What are the prime factors of u?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 0 - (-1 - 1) - 752100. Round d to the nearest 10000.\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/11 and ((-1)\/10)\/(-9 - (-1964)\/220)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1029 + 1036. Suppose -5*o - 5*r + 50 = -0, 4*r = 2*o + 10. Calculate the remainder when v is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(4\/(-3))*12 - 3. Let x = b + -32. Solve -x = -3*u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12225477?\nAnswer: 3, 11, 33679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 2*j - 4*j)*(j**2 + 0*j**2 + j**2) + 128*j**3 + 106*j**3 - 215*j**3.\nAnswer: 21*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f + 385 + 755 = 0. Solve -49*a + 54*a = 5*i - f, -10 = -5*i + a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44493758156 + 0.222?\nAnswer: -44493758155.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1574764522?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -48?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 19*b**3\/3 - 14. Let x be -3*5\/(-30) + 37\/2. Let y(h) = x*h - 9*h - 8*h. What is y(i(u))?\nAnswer: 38*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 2\/3)*90\/(-12). Suppose -8 = -2*y + t*d + 613, d = -5*y + 1620. What are the prime factors of y?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2852 is divided by 219.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 464*x + 211577. Calculate k(-456).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -7, 1, 3 in descending order.\nAnswer: 3, 1, -7, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 3*o + 5*z + 24, -2*z = -3*o + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 50679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 1)*(4*s - 5*s + 0*s) - 4*s - 4*s + 7*s + 3 - 3 + 2*s in the form t*s + l and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -27) + (-2 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5567\/6 + 1297291\/1398. Let d = k - -25443\/3262. What is the common denominator of -11\/6 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 677, 1235, 1787, 2333, 2873, 3407?\n\"Answer: -3*o**2 + 567*o + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34)\/(-119) - (-47)\/7. Suppose 2*f + 8 = 4*z, z + m*f = 5*f + 2. Solve -3*j = -z*j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*p - 0 - 16, 5 = -v + 3*p. Let m be 5*(3 + (v - 3)). Find the third derivative of -m*y**2 - 17*y**3 + 20*y**2 - 17*y**2 wrt y.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i + 1. Calculate l(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 7:14 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 10*n - 35. Let o be s(-34). Calculate the highest common divisor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {y: 2, g: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 2*g**2 + 4. Let j be z(-3). Let u be j\/(-4) + 2\/(-8) + 1. Let d(p) = p + 2. Let s be d(0). Solve -2*x = -s - u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 (base 13) to base 12\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**4\/24 - 3*y**3\/2 - 2*y**2 + 36. Let w be r(-9). Let k(a) = 4 - 2 + 2*a + 4 - a. Give k(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 - 28*o - 34. Let p be b(-12). Suppose 0 = -3*h, 4*x + 12*h - p*h = 472. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11178 + -156595\/14. What is the common denominator of -59\/198 and w?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 884, 1221, 1670, 2291, 3144, 4289, 5786?\nAnswer: 7695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**8\/11760 - i**7\/2205 + i**6\/1260 + i**4\/6 - 19*i**3\/6 - 95*i**2. Let h(k) be the second derivative of u(k). Factor h(v).\nAnswer: 4*v*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, t: 5}. What is prob of sequence tt?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000544754 to 7 dps.\nAnswer: -0.0000545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000042 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/10*(-40)\/(-112). Let y = -107 - -107. Let f*w**2 + y*w - 8\/7 = 0. Calculate w.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36521900 rounded to the nearest one hundred thousand?\nAnswer: 36500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -165631 + 3107?\nAnswer: -162522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 745853 + 0*p - 90589 - 3*p.\nAnswer: -2*p - 836442","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/5 and -69\/29216?\nAnswer: 146080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2687968949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (4 - 6) - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 21*w - 18*w)*(1 + 1 - 1)*(0 + 1 + 1 + (-1 + 0 + 3)*(2 + 0 + 1))*(4 - 4 + w)*(-1 + 1 + w).\nAnswer: -288*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18901 - 13648.81099. Which is smaller: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12470941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 947*h + 22 = 5*f + 945*h, -5*f - 2*h + 38 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**5 - 2*f**5 - f**5)*(-1 - 1 + 0)*(-19 + 25 - 17) + 10*f**5 - 9*f**5 - 31*f**5.\nAnswer: -74*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.802 at most -241\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*w**4 - 4 - 3*w + 2 - 55*w**3 + 52*w**3 - w**4 as k*w + z + s*w**3 + u*w**4 + c*w**2 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (250957\/5)\/(12*4\/10). Let h = -10458 + f. Let r = -4\/3 - h. Is r not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-6 + 11 + -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 15 = -8*b, -3*b + 15 = 3*o. Let k(g) = 228*g + 3*g**o - 228*g. Let s(x) = -4*x**2. Determine k(s(c)).\nAnswer: 48*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/6)\/(5*16\/(-240)). What is the closest to 31\/2 in -5, v, 2, 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0167 - -0.2167. What is the fourth biggest value in -4, 3, j, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 6*i**2 + 7*i + 2. Let u be p(-7). Let f(d) = d**3 - 4*d**2 - 3*d - 3. Let z(t) = -t**3 + 3*t**2 + 2*t + 2. Calculate u*f(c) + 3*z(c).\nAnswer: -c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 666731807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.94, 2, -0.03, -0.05 in descending order.\nAnswer: 2, 0.94, -0.03, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a + 640427 - 640266 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = h - 5, 52*s - 112*s + 5*h - 6 = -61*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4)*(3 + (-19 - -4)). Solve -z = 5*t - 27 + b, 4*z - 2*t = -26 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5 + 7. Let d(z) = -z + 4. Give d(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21343418.018 and -0.33.\nAnswer: 21343417.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -u + 6*u - 29, -3*u + 19 = 2*m. Determine n so that 2\/7*n**m + 8\/7 + 8\/7*n = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j - j)*(-390 - 247 - 95).\nAnswer: 1464*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/((-315)\/40)*(56 + (-3 - -7)). Which is greater: -53 or i?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 79695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 265590436 + 160.\nAnswer: 265590596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8959 and 34255.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z. Let m(u) = u**2 - 3*u. Let v(y) = -3*g(y) - m(y). Let k(l) = -4*l + 4*l - 2*l. Determine k(v(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 1981*q + 14*q**4 - 12*q**4 + 61*q**3 + 33*q**3 + 8*q**4 + 1216 - 1704*q**2 + 363*q = 0.\nAnswer: -19, -2\/5, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 7*r - 21. Calculate l(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 0.1, 5, -1, -3, -9 in decreasing order.\nAnswer: 5, 0.1, 0.01, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1767.04826 to zero decimal places.\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n**2*o**2 + 26214*n**2 - 251*o**2 - 168*o + 2 wrt o.\nAnswer: 4*n**2*o - 502*o - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -13 + -34 + -2 - (91 - 80)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2505, 3, 2\/183, -0.8, 4?\nAnswer: -2505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4502733 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -67289, -134916, -202543, -270170?\n\"Answer: -67627*z + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7445 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/14)*y)\/(y\/(y\/(y**(3\/2)*y))))\/(y**(-4\/5)\/y**16) assuming y is positive.\nAnswer: y**(568\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*a**2*s**2 - 3*a**2 - 2*a*s**2 - 5*a*s - 103*a + 58*s**2 wrt s.\nAnswer: 22*a**2 - 4*a + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (605\/(-1540))\/(176\/(-512))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 40c71?\nAnswer: -40c6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -9 + 10 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 2*p - 5*i + 100, -72 = -3*p + i. Suppose -5*d + p - 78 = 0. Let q = 12 + d. Solve q = -v - 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*r**3*s**2 + r**3 - 5666*r*s**2 + 35276*r*s + 1 wrt s.\nAnswer: -134*r**3 - 11332*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*r + r. Suppose 4*l = 4*q + 1 + 99, -l + r = q. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6439, 6554, 6669, 6784?\n\"Answer: 115*h + 6324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*m*s**3*w**3 - m*s**2*w - 4*m*s + 3*m*w**3 - s**4 - w**3 wrt s.\nAnswer: 240*m*s*w**3 - 2*m*w - 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 and 52\/60837.\nAnswer: 60837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 13) to base 3.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 574 - 616 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3 + sqrt(128) + -2 + sqrt(128) + -2)**2 + (0 + (sqrt(128) - (sqrt(128) + 3*sqrt(128))) + sqrt(128) + 0)**2*3.\nAnswer: 32*sqrt(2) + 2049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 2:51 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*p + 18 - 418519*p**2 - 114*p + 209333*p**2 + 209290*p**2 - 5*p**3 wrt p.\nAnswer: -30*p + 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 37 = 3*m - 74, -2*j + 2*m - 20 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 160*j**3 + 31*j**4 - 160*j**3 + 24*j wrt j.\nAnswer: 372*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3941, -7888, -11835, -15782, -19729, -23676?\n\"Answer: -3947*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x + 38*x = -b + 14, 6*b + x - 44 = 3*x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(27\/(-12)))\/(2\/(-9)). Let g be -9 + 50 - -1*x\/1. Calculate the highest common factor of 301 and g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -42646*r**3 + 7*r**2 + r - 11. Is j(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((((y*y**6)\/y)\/y*y)\/y*y))\/y)\/((y\/(((y**(-8)\/y)\/y)\/y*y*y))\/y)*(y\/(y*y**(-11)\/y*y)*y)**(-2\/31) assuming y is positive.\nAnswer: y**(-489\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + 1*(sqrt(65) - -3*sqrt(65)) + (sqrt(65) - -2*sqrt(65)*2))\/(4*1*sqrt(180)*-5).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 216\/1301557?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 1, i: 1, c: 6}. What is prob of sequence ic?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 249*k - 19. Let i be g(-3). Let u be i\/(-10) - (6\/10 + 0). Calculate the greatest common divisor of u and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03285 rounded to 3 dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 + (-12)\/15. Let r = 1\/5 - h. Suppose -5*i = -27 + 2, -25 = -5*m - 4*i. Is r not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 o when three letters picked without replacement from oslljlosloolls.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 2\/(-2) + -5. Let r(d) = 5*d**2 + 12*d + 1. Let o be r(-5). Let u = o + y. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -380.1 + 380. What is the second smallest value in -0.26, v, -0.5, 2?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 2*l - 5. Give h(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -15. Suppose -4*t = 2*m - 5 - 1, 0 = -r*t + 2*m - 6. Let z be 16\/56 - (-52)\/14. Solve 0 = 5*j - 2*y + z, t = 3*j - 3*y - 0*y + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3150 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 97 + 101 - 300 + k**2 + 101 + k. Let t(n) = -8*n**2 - 12*n + 7. Give -t(j) - 6*y(j).\nAnswer: 2*j**2 + 6*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.18 - 22. Let x = 0.08 - t. Let y = x + 0.4. Which is the third smallest value? (a) y (b) 3\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 10 = -4*f. Suppose 4*h + 4*w = w - 33, 4*w = -h + f. Suppose 0 = -3*o + 4*o + 13. Is o at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-2))\/((405\/6)\/(-9))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 7487542.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, p: 1, g: 2, w: 1, d: 2, l: 1}. Give prob of sequence gd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -2*s + 1, 2*q - 3*s + 107 - 112 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159163 is divided by 1040.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -11*n - 93. Let g be f(27). Let t be (-2790)\/g + 2\/(-13). Solve -5*q + 13 = -t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/12 - 7\/12. Let i = -304.87 + 307. Let w = 0.13 - i. Which is the smallest value? (a) 5 (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 12:30 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 divided by -4?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-5))\/((99\/(-44))\/(16281\/(-108)))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -6. Suppose -2*y - q + 3 = 0, 4*y - 14*q = -12*q + 10. Suppose -8 = 2*x - s*h, -y*h = h - 12. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-10))\/(18\/30 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.4 - 24. Let f = p - 1. Let i = 1.4 - f. What is the biggest value in i, -3, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-55)\/88 - -1) + 19821\/8. Let j(y) = 2*y**2 + 3*y + 1. Let m be j(3). What is the hundreds digit of (k\/m)\/(-1*(-1)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14916 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -22065485.6 rounded to the nearest one hundred thousand?\nAnswer: -22100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*u - 97*u + 24 = 0. What is the units digit of (-2)\/(-1) + 2 + u + 204?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 10*m**2 + 2*m**2 - 20.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 35518021 = -t - 24*u, -4*u = 4*t + 142072028. What is t rounded to the nearest 100000?\nAnswer: -35500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49200 a multiple of 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 6*r**2 + 1 + 5 - r + 4*r - 4*r - 2*r**2 + (r - r**2 - r)*(2 - 5 + 4) + r**2 + 0*r**2 + 0*r**2.\nAnswer: 4*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 0. Let q = n + 9. What is the second smallest value in -1, -5, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 388 + (-3)\/(-3)*-1. Suppose 0 = -10*y + 7*y + j. What are the prime factors of y?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 4)*(82*c - 42*c + 10*c + 31).\nAnswer: -150*c - 93","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 353874 to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/47107 in -1, -5, -2\/811, 0.2?\nAnswer: -2\/811","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 5*m**2 + 2*m + 11. Let y be d(4). Suppose 0 = -5*c - 25, 702 + 238 = 5*b - y*c. Is b a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2299) + 3)**2 + -2 + -5 + sqrt(2299)*2*-4)*3.\nAnswer: 6924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10173, -20391, -30631, -40893, -51177, -61483?\n\"Answer: -11*z**2 - 10185*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20e936 + -7?\nAnswer: -20e93d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18712133 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 162, 733, 1700, 3063, 4822, 6977?\n\"Answer: 198*t**2 - 23*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2063 - 348. Does 49 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 172, 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 20. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s**2 - 72*s - 76. Let m(w) = 2*w**2 + 24*w + 26. Let d(h) = 5*j(h) + 14*m(h). Let i be d(-11). Solve 3*r - i = -3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 2. Let p be b(5). Suppose -4*a = a + 10. Is 5\/5*(p + a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -194321?\nAnswer: 58296.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-12) - 24753\/(-666)) + -8. Solve 0 = -21*j + 9 - m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-65))\/((-4)\/10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111000011 (base 2) to base 15.\nAnswer: 12e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1690 and 3705?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 3*i. Let a(q) = q**3 + q + 3. Let z be a(0). Suppose -4*g - 3 = -z*g. Does 9 divide m(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4537715 and -260.\nAnswer: -4537975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -5, 27, 95, 211, 387?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -43. Let c = 2\/3 - 1. What is the second smallest value in c, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -s + 5, -8*d - 10 = -2*s - 12*d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x - 2. Let m be t(-2). Let b be m\/(-10) - -31*(-3)\/205. Let f = b + -833\/369. What is the common denominator of f and -50\/49?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, j: 1, e: 5, r: 1}. What is prob of picking 3 e?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 + -23 + 26 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11735, -23032, -34343, -45662, -56983, -68300, -79607, -90898?\n\"Answer: p**3 - 13*p**2 - 11265*p - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1914*a. Let u(d) be the first derivative of d**2\/2 - 5017. Determine q(u(p)).\nAnswer: 1914*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 3*d - 14 - 5 + 27.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (sqrt(396) + -2)) + 4)**2*-2.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-78)\/54*3)\/(25\/(-75)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f = 63 + 117 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -40*u**5 + 4*u**4 + 200*u**3 - 20*u**2 - 160*u + 16 = 0. Calculate u.\nAnswer: -2, -1, 1\/10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2\/7)\/n)\/(n**(1\/4)*n*n))\/(n\/(n*n*n**(5\/6))*n**0))**(1\/46) assuming n is positive.\nAnswer: n**(-143\/3864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -39. Let q = 5 + 1. Let x = -6.4 + q. What is the second biggest value in -3, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 104536 and -0.1.\nAnswer: -10453.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*r - 721072 - 398704 = 8806. Is 107 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - t. Suppose 2*x = -2*f - f + 20, 0 = 3*x - 4*f + 4. Suppose x = 5*h - 1. Give u(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 4 (b) 745 (c) -0.065\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q**2 + 5\/7*q**4 - 4\/7*q**5 - 1\/7*q**3 + 0*q + 0.\nAnswer: -q**3*(q - 1)*(4*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or -283?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 20*y**2 + 15*y - 46. Let i(t) = t**3 + 9*t**2 - 7*t + 23. Let q(p) = 6*b(p) + 13*i(p). Is q(0) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11604000 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 474*z + 4943. What is the least common multiple of g(-10) and 1316?\nAnswer: 38164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 divided by 33851.\nAnswer: -112\/33851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5473 to the nearest one hundred.\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.708412 millilitres to litres.\nAnswer: 0.009708412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -36, 11, 1, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -1283\/21988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2831*x + 4607 + 75 = -1098 + 118 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**7\/1260 + 3*y**4\/4 - 7*y. Let p(l) be the third derivative of z(l). Let j(f) = 5*f**2. Calculate p(j(k)).\nAnswer: 50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = -375*i + 22892 for i.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 3*f + 5, -3*k + 4*f - 6*f + 5 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 124 - 60 - 7*i - 70. Let l(c) = 38*c + 31. Let t(q) = -2*l(q) - 11*z(q). Determine t(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*x = -5*z + 190*x + 67, x - 27 = -8*z + 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 + 96. Let f be ((-39)\/12)\/(-1)*(4 + b). 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: Let z be 2\/(-10) + (-19)\/5. Let y be (-465)\/(-42) + (-6)\/z. Let t = -82\/7 + y. Do 2 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.17, -1\/2, -12, -4, 10.28?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1050922.215ms to weeks.\nAnswer: 0.0017376359375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005885 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**7\/105 - i**6\/60 + i**5\/15 - 10*i**2. Factor k(v).\nAnswer: -2*v**2*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 85\/6*v**3 + 0*v**2 + 41*v + 0. Let b(o) = o. Calculate n(b(q)).\nAnswer: 85*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l + 3622 = 3*w, 0 = -5*w - 3*l + 6042. Suppose 6*k - w + 354 = 0. List the prime factors of k.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + (((sqrt(153) + 0)*-5 - (1*sqrt(153)*-4 + sqrt(153) + sqrt(153) - sqrt(153)))**2 - (-5*(0 + sqrt(153)*1))**2).\nAnswer: -3215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -507*z + 11. Let d(n) = -2*n**2. Give p(d(j)).\nAnswer: 1014*j**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kukukunknkkuknun. What is prob of sequence uukn?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 6.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (35\/15)\/(3\/2). Which is smaller: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kaq when three letters picked without replacement from {q: 3, a: 2, k: 3, f: 5}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/7, -4, -1403, -0.25 in ascending order.\nAnswer: -1403, -4, -2\/7, -0.25, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 52*x**3\/3 + 5*x**2 - 53. Find the second derivative of c(f) wrt f.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (-14 + -7) - 16.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/3 and 27\/112852?\nAnswer: 338556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let x be (-4)\/8 + (-5)\/2. Let j(h) = -572*h. Let o(n) = 22*n. Let p be 5\/(-4) + 20\/((-160)\/606). Let y(m) = p*o(m) + x*j(m). Calculate y(s(q)).\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7472, -29956, -67432, -119900, -187360, -269812, -367256?\n\"Answer: -7496*h**2 + 4*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*a - 9. Let f = 4 + a. What is the closest to f in 2, -1\/5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (221 - 224 - 10\/5*1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-71 - (-4 - -5)) + (-123 - (-73 - 40))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2682306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 2*c + 2. Let t be v(6). Let q = -42 + 224. What is the greatest common divisor of t and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 29 - (-51 + -3).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11\/6 + -3\/2. What is the smallest value in 0.2, 2\/5, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(1*sqrt(3)) - (sqrt(847) + -2*sqrt(847) + sqrt(847))**2)*5.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ses when three letters picked without replacement from {s: 3, r: 3, e: 3, d: 1, z: 4, c: 2}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2. Let c(j) = 3 + 27921088*j - 27921085*j + 20*j**2 - 3. Calculate m(c(k)).\nAnswer: 400*k**4 + 120*k**3 + 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**6\/360 + 25*s**3\/6 + 23*s**2. Let r(y) be the first derivative of d(y). Let c(f) = 11*f**2. Calculate c(r(p)).\nAnswer: 11*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 12*i + 19. Let c(g) = 10*g. Let z be c(1). Is n(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 90.704.\nAnswer: -1088.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2881, -3081, -3399, -3841, -4413, -5121, -5971?\n\"Answer: -l**3 - 53*l**2 - 34*l - 2793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -134, 1, 103277, -6 in descending order.\nAnswer: 103277, 1, -6, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-42)\/(-262)) + (-4)\/(-14). Let j(z) = -z + 25. What is the smallest common multiple of 14 and j(g)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 6:50 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 200 + 200 - 17*q**2 in the form x + v*q + n*q**2 and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 1084200?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*t - t. What is the derivative of -x + t*x - 3 - 2*x - x wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 9*p**2 - 7*p - 4. Let w be r(8). Let o be (w*-2)\/(10\/(-125)). Calculate the highest common divisor of o and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one twentieth of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 281.13 + -0.3.\nAnswer: 280.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5359170 to the nearest integer?\nAnswer: 2315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 4. Let f be r(5). Let s be (3 - 1)*(-3)\/(-2). Let t(g) = 2*g**2 - 3*g**2 - s*g**2. Give t(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 104, -1\/4, 2.8 in ascending order.\nAnswer: -1\/4, -1\/7, 2.8, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9) - (-7)\/(-84))\/((-3)\/(-8))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 24. Let o = q + -5. Let w = 15.945 - o. What is w rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 994917 is divided by 16073?\nAnswer: 14464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*q = -21. Let p = 3 - 7. Calculate the lowest common multiple of q and (2 + -12)*2\/p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112261986 to the power of 1\/2, to the nearest integer?\nAnswer: 10595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 58 = -4*h, h + 2*t = 2591 - 2593 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2125373?\nAnswer: 2125373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 14 = -l + 2*j, -4*l + 24 = -4*j. Suppose n + 20 = 2*r + 3, l*r = 5*n + 8. Solve 2*a + 8 = -s + 3*s, 5*s = 2*a + r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - f - 5 = 0, 19*v - 4*f = 24*v - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45274 - -34726. Round u to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204547 is divided by 119?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 37*q - 65. Determine o(34).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5 + 3 - 8 + k. Let n(p) = -12*p. What is b(n(m))?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 0*g + 3 = -2*g, -i - g + 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18166546*b*c**2 - 3917112*b + c wrt c?\nAnswer: 36333092*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27020, 27002, 26976, 26942, 26900?\n\"Answer: -4*f**2 - 6*f + 27030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x. Let t(v) = -v**3 + 7*v**2 - 6*v - 4. Let i be t(6). Let z be n(i). Let y be (-1)\/3 + 611996\/z. What is y rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**2 + 5*t**2 + 6*t**2 + 3*t**3 + t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000114985 to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 69 = -4*t, -p + 67 - 2 = 2*t. Let w = -67 + p. Is 0 - 3 - (8*339)\/w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 903 + -4516\/5. Let z = 0.1 + 0. What is the second smallest value in x, 1\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14\/16*636\/742 + 1789\/4 is divided by 54.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(1\/4)*r))\/((((((r\/r**3)\/r)\/r)\/r)\/r)\/r*r))\/(r\/r**1)**(-2\/117) assuming r is positive.\nAnswer: r**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -737*k**5 - 2541*k - 2817. Find the first derivative of x(h) wrt h.\nAnswer: -14740*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 19, 19, 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 24*v**2 + 209*v + 136. Give y(31).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d**2 - 151*d - 6177. Calculate q(50).\nAnswer: 1273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence feaw when four letters picked without replacement from eafavwve.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -291 + 295. Suppose -2514 - 994 = -x*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**2*i*x**2 + d*i*x**3 + 9*d*i*x**2 - 18*i*x**2 + 2*x**3 wrt d.\nAnswer: 4*d*i*x**2 + i*x**3 + 9*i*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 13. Let h be y(-7). Suppose h = -3*d, -4*d - 84 = 3*x - 895. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 357*a*t**6 - 489*a*t - 6*a + 2*t**5 + 127*t**3 + 2*t**2 - 3 wrt t?\nAnswer: 42840*a*t**3 + 120*t**2 + 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3348 and 1426.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 4*d - 18 = -71, -2*q + 6*d - 18 = 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwo when four letters picked without replacement from wwwoowwwoowo.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4182676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 10 = -26*k, 13 + 28 = -5*t + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3.9 (b) -1\/8 (c) 2\/13 (d) 1 (e) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120095 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -255*t + 852. Let y be z(3). Which is greater: y or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11776520 + 710*y - 11776520 + 1058*y.\nAnswer: 1768*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 7:28 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 258812 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: In base 15, what is -5d - 3?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000733069654 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 5:37 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/217, 2\/5, 1, -2\/11, -1, 3, -726\/19?\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 6*r + 24. Determine g(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + -4.78. Let p = 5 + r. Let g = 0.033 - 0.133. What is the nearest to g in 2\/3, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13091 is divided by 1869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.36, 100, -14 in increasing order.\nAnswer: -14, -0.36, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10\/9))**25 assuming i is positive.\nAnswer: i**(-250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -852 - -1232. List the prime factors of m.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Suppose -3*y - 2*j = -6, -y + 3 = -j + s. Let g = 7109 + -7107. Solve y*t = -g*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -35.558?\nAnswer: -142.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggigggpjipipijp. What is prob of sequence gpj?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1\/4, -10 in ascending order.\nAnswer: -11, -10, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 941 + 716 = -496*a - 585 + 258 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -27*d + 5. Let y be n(11). Let c = y - -344. What is the remainder when 150 is divided by c?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.1 - 7. Let x = -0.09992 + b. What is x rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*h + 240. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.83662746 rounded to 3 dps?\nAnswer: 36.837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 566 and 1097876143?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -29.4 times 197\nAnswer: -5791.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(39)\/sqrt(3) + -5 + (sqrt(13) + 2)*-1)*6 + -5.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 1 + -1 - -17 - 21.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 8 in decreasing order.\nAnswer: 8, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 115?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 130, 131, 132, 133?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110111101 (base 2) in base 11?\nAnswer: -2292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -94*r**3 - 3198*r**2 - 67*r + 40. Give t(-34).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5 = -y, -4*f = -1 + 5. Which is the biggest value? (a) 3\/4 (b) y (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449*n = p - 451*n - 4, -p - 1 = 3*n. Which is the closest to 2\/5? (a) 4 (b) -1\/2 (c) -0.2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 58.2.\nAnswer: -59.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 224586171 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)*s)\/s)**(-47)*(s**11\/s)**(-37) assuming s is positive.\nAnswer: s**(-276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7396888*s**5 - 2*s**4 - s**3 - s**2 + 46538*s + 9?\nAnswer: 443813280*s**2 - 48*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxaltllk. What is prob of sequence tx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9480 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 360092786 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 468888 divided by -117222\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 33 - 88 = 0. Suppose -8*j + 5*j + 27 = -2*z, 0 = -5*z - 3*j - 15. Let h = z + q. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -3\/13 (c) 0 (d) -6 (e) -922\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 2*v**2 - 3*v. What is y(3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.065 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -207*h**2 + 203489*h. Let r(q) = q. What is r(s(i))?\nAnswer: -207*i**2 + 203489*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 5*w - 3387, 177*w = 180*w + 9. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 5*j**2 - 4*j)*(-7*j**2 - 28*j**2 + j**2).\nAnswer: 170*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 164937111979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-143)*(-517)\/423*9*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*p**2 + 5345728*p - 3793680 = 0.\nAnswer: 22\/31, 43110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1095318, -1094955, -1094592, -1094229, -1093866, -1093503?\n\"Answer: 363*g - 1095681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -205935 smaller than -205932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 6231*n + 183222.\nAnswer: -3*(n - 2106)*(n + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1024 and 896?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*j**2 + 25*j**2 + 32*j**2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 1:11 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22087?\nAnswer: 13, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -41, -0.2, 2\/1335?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -3\/676, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(15\/(-6)) + 0. Let j be (36\/30)\/(b\/20). Suppose -c = 3*f + j, c + 22 = -4*f - f. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-8) + (-549)\/(-18). Solve -12 = j*y - 29*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 + q - 1. Let y(o) be the third derivative of -o**6\/20 + 3*o**5\/20 + o**4\/4 - 5*o**3\/6 + 28*o**2. Let t(z) = 5*b(z) - y(z). Factor t(u).\nAnswer: u*(2*u + 1)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81880 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.31712 - -7.34273496. Let m = -0.67437644 - t. Let p = -0.7 - m. What is p rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*w**3 + w**3 - 66 + 11*w + 128 + 1143 wrt w.\nAnswer: 3*w**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from ubommmumo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 225 - 93 = 0. What are the prime factors of x?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 44766.12 milliseconds?\nAnswer: 0.746102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 118616*b + 237237. What is j(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7478990803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(9)*-1) + (-2*sqrt(1400) - sqrt(1400)) + sqrt(1400))\/((sqrt(7)*-3 + sqrt(7))*-4*-6).\nAnswer: 7*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 66 = -2*v, -3*v + 5 = 3*w - 58. Suppose -16*r - 110 = 5*s - 11*r, s + 24 = -2*r. Is 2\/(w\/s)*-93 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**5 - 936*t**4 + 2780*t**3 - 1848*t**2 = 0. Calculate t.\nAnswer: 0, 1, 2, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) -0.5 (b) 1\/7 (c) 2 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45036 - 3461?\nAnswer: 41245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -10 + 8 - -22 - -2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 0, -4*v + 211 = 5*w + 26. Let x be 13\/(-65) - w\/(-35). Let q = 296 - 293. Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312c8 (base 13) to base 3.\nAnswer: -11111020102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8908 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 14. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-2100)*20)\/((-32)\/56)*747\/6?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -72635*c + 104069 wrt c?\nAnswer: -72635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -8 + 13 + (-26 - (-8 + 7))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.8 + -8.2. Let g = -3.6000086 + r. Round g to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3*(-4)\/(-3))\/2. Let s(k) = 2*k - k + 6*k - o*k. Let l(v) = -14*v. Give 4*l(a) + 11*s(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 91.475 - -4642\nAnswer: 4733.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 16 = -13*b + 17*b, -5*b + 17 = 3*u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 338305504 rounded to the nearest one hundred thousand?\nAnswer: 338300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 0*s - s - 9.\nAnswer: -s - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(-1 + 3 - 1)*(-2*p - p + 0*p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 113954549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.291 rounded to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from xwiiwy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 317140 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1142108 and 715.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/9)*y*y*y*y)**(-3\/7)*y**(15\/8)*y\/(y*y*y**(-2\/35)))**(-2) assuming y is positive.\nAnswer: y**(737\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * 23231.\nAnswer: -580775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 71 + 20*h - 31 - 19 + 55 + 337. What is the hundreds digit of a(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -40, 2*v + 2*d = 32718 + 20898. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 247*x**5\/20 + 9*x**4\/2 - 5*x**2\/2 - 28*x. Find the third derivative of f(t) wrt t.\nAnswer: 1482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.2, -0.9, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2944.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -1793291?\nAnswer: -7173164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 33*l**2. Let u(c) = -8*c**2 + 2*c. Determine u(b(p)).\nAnswer: -8712*p**4 + 66*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 242*z - 1695. Let y be x(7). Sort 1, y, -0.0468 in decreasing order.\nAnswer: 1, -0.0468, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12093584 divided by -4\nAnswer: 3023396","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1461785*i = -1461790*i + 185 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -1.4278\nAnswer: -0.07139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -742449*q**4 - 7*q**3 - 11*q**2 + 20891931*q - 5 wrt q?\nAnswer: -8909388*q**2 - 42*q - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*h - 8. Calculate the remainder when 28\/h*7 + -4 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 399 - 378. Suppose 22*s - g*s - 20 = 0. What is the highest common factor of s and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12)\/(-1 - 16\/(-12)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 12:19 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*k**3 + 143*k**3 - 17*k**3 + 1)*(-6 + 6 - 5*k) to the form o*k**2 + u*k**3 + n + c*k**4 + z*k and give c.\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, -4\/3, 6, 16, -106 in descending order.\nAnswer: 16, 6, 3, 0.1, -4\/3, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2540603.\nAnswer: 13, 23, 29, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - -3)\/(-1 + 17\/18). Suppose 4*f = 8*f - h. What is the highest common factor of f and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 2 + -17 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1158144 by 289536.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 765 or 753?\nAnswer: 753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = -4*b. Let s be 44\/(-36) - (-2)\/9. Is b not equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 3. Let t be m(3). Let w be ((-2)\/3)\/(1\/(1*-15)). Solve n - w = t*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -1, 9, 1 in ascending order.\nAnswer: -1, 1, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 77*q**2 + 4146*q + 309326. What is v(-76)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 1. Let p be y(-1). Suppose -3*q = 3, x = -x - 4*q - 132. Let t be 1\/4 + 48\/x. Put -2\/5, -2\/7, t, p in ascending order.\nAnswer: t, -2\/5, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -46, -129, -286, -541?\nAnswer: -918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155*g**4 + 2276*g**3*w**3 - 145*g*w - w**3 + 4*w**2 + 63*w wrt g.\nAnswer: -1860*g**2 + 13656*g*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-15)\/(d*d\/d**(5\/2)) assuming d is positive.\nAnswer: d**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/31096 and -45\/2024?\nAnswer: 342056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 220233?\nAnswer: 220232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -51 + 51. Suppose -b + 467 + 177 = q. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h - 11. Let n(r) = 2*r - 5. Let b(l) = 6*k(l) - 10*n(l). Let j be b(-16). Suppose j = 3*p + 1. Let t(u) = -u + 10. Give t(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and 0.0077.\nAnswer: 0.1463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -1 + 8\/9*m - 1\/3*m**2 - 2\/27*m**3. Suppose j(i) = 0. What is i?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5075521 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 149488085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 33, 78, 141?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -90037102 + -2.5?\nAnswer: -90037104.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82.9893 + 83. What is v rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -28*a - 8. Let r be y(-3). Suppose -n = 2, 0*z - 4*n = -4*z - r. Find the common denominator of z and -46.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 8*b**2 + 6*b + 9. Let m be k(-5). Let a(z) = 3*z**2 - 2*z - 2. Let i be a(2). What is the greatest common factor of m and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from ebbvffcgevbb.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132394, -264610, -396850, -529120, -661426, -793774?\nAnswer: -926170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/104 and 83\/840.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 802521752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3119 divide 1998831907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54, 37, 292, 717, 1318, 2101, 3072?\n\"Answer: g**3 + 76*g**2 - 144*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -11*c + 90 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120182 divided by 60091?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62852 is divided by 216?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3688 - -3688.2. Which is the closest to -2? (a) 106 (b) -2 (c) k (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28052 + -0.25?\nAnswer: -28052.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((((s*s*(s\/s**(-11))\/s)\/s)\/s)\/s*s))\/s**(13\/4))\/(((s*s**(-13))\/s)\/s**(-4\/3)) assuming s is positive.\nAnswer: s**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - 2*r - 5*r - 3*r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = 18*c - 88073. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -645 + 645.2. Which is the fourth biggest value? (a) 0.3 (b) -1 (c) -148 (d) 3 (e) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/152400 and -103\/138?\nAnswer: 3505200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 10 = 0, 0*s + 11 = -5*s + 2*m. Let z be (-4)\/(-18)*s + (-4)\/(-9). Sort 0, 1.6, z in increasing order.\nAnswer: z, 0, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in centimeters?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -546 divided by -26\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 912 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476*k - 1421*k + 474*k + 473*k - 39*k**2.\nAnswer: -39*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 703470 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.5373285 rounded to 1 decimal place?\nAnswer: -14.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let v(h) = 21893602*h**2. Calculate a(v(p)).\nAnswer: -21893602*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -802*o + 791*o = -1 + 1. Let s = -6 - -5.6. Which is the nearest to 0.3? (a) s (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 33309?\nAnswer: 433017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 96*p + 34. Let y be d(26). Round y to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m + 20. Suppose 78 = m*z + 8. What is the highest common divisor of 56 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 9:50 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5477 - 5477. Solve q = -c + u - 3, -6 = 2*c - u + 6*u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23200241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 5 + 3*c + 19 + 0*c.\nAnswer: c + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -11*c**2 - 38*c + 328. What is o(-8)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001979223681 to 7 dps.\nAnswer: 0.0000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 687\/98, 2\/19, -4\/27, -5.\nAnswer: -5, -4\/27, 2\/19, 687\/98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -867 divided by 1057\nAnswer: -867\/1057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452500989.\nAnswer: 3, 61, 2472683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22566503 (base 7) to base 13\nAnswer: -545867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -5, -2\/3, 0.2, 9, 1, -236 in increasing order.\nAnswer: -236, -5, -2\/3, 0.2, 4\/5, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -4, 4, 15958, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 12*r - 239. Let u be y(20). Suppose 3*t + 10 = -2*i, -5*i - 30 = -5. Suppose -5*a + 6 + 4 = t. Which is smaller: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 4095*h - 211440. Give j(51).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omgoggsgmmqw. What is prob of picking 1 q and 1 o?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55? (a) -2 (b) 1\/3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -308, -3, 50, 0, -8, 5 in decreasing order.\nAnswer: 50, 5, 0, -3, -8, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 63. Let r be x(13). Are r and -48 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 58 - 59 - 1\/((-2)\/(-8)). Let m be 3\/(-4)*(-144)\/54. Which is the fourth biggest value? (a) -0.2 (b) 6\/5 (c) m (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1284128ng in milligrams?\nAnswer: 0.0000001284128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191786.97 rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 823, 1690, 2661, 3790, 5131, 6738, 8665, 10966?\nAnswer: 13695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + -1. Suppose -3*s + p + 7 - 77 = 0, -5*p - 18 = s. Let u = a - s. Solve 0 = -b - 4*b - u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -413, -835, -1261, -1691?\nAnswer: -2125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**5\/60 + 725*t**4\/12 + 444*t**3 - 2*t**2 - 5. What is the first derivative of q(k) wrt k?\nAnswer: -2*k + 1450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47429690*d**5 - 13297530*d**2 wrt d.\nAnswer: -2845781400*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + 5 + 5*1*sqrt(128)))**2.\nAnswer: 10240*sqrt(2) + 52224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g + 14. What are the prime factors of r(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (30\/7)\/(-6). Which is smaller: -4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 12:31 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 94965 from -7320647.\nAnswer: -7415612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/905945 and 211\/1150380.\nAnswer: 2511279540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*i = 10, -2*u - 3*i = -0*i - 13. Let d be 5 + u\/6*-3. Solve -d*l - 10 = -t - 2*t, 5*t - 6 = 4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 14, o: 2, q: 2, b: 1}. Give prob of picking 2 q and 1 i.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -519.034 plus 0.36571861?\nAnswer: -518.66828139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 + 40*s**2 + s + 67. What is l(-20)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8\/3, 2\/7, 0.2, -52.4, -5\/2, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 456 - 458 = 0. Let j be 33\/(-22) - (-3 - (-419)\/d). Is j equal to -208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3 = -j + 3*s, 2*j - 2 = 2*s. Suppose -u + 3000003 = -j*u - 3*w, u - 2999997 = -3*w. Round u to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sflbllllfllssllffll. Give prob of picking 2 s.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -701*g - 9708 = 151*g - 43*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r = -3*n + 121607, 3*n = -5*r - 152002. Is (-4)\/(-10) - r\/35 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -862 - -5177\/6. Let b = -0.6 + 1. Are b and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1224 - -1225. Sort 3, 2, 16, i, -2 in ascending order.\nAnswer: -2, i, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/(-15) - ((-72)\/30)\/6. Let c(m) = 8*m + 12. Let d be c(o). Solve 4*w - 8 = d*g, 4*g - 20 = -4*w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 0.08, -0.5, 5, 2\/3, 3\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b + 14. Let x be l(-1). What is the lowest common multiple of 4968\/(-230)*x\/(-6) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + 38. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -12. Suppose -7*k = -g*k. Suppose k*l - 2*l - 4 = 0. Which is greater: l or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1206 * 140.875\nAnswer: -169895.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -2313?\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 7)\/((-3)\/38). Let x = 163 + g. What is the highest common factor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 353*c**3*w**4 + 2*c**3*w**3 - 2*c**3*w**2 - 117*c**2*w**2 wrt w?\nAnswer: 8472*c**3*w + 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20243847 and 1443?\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 + l**3 - 3*l**3 + (l + 4*l - 6*l)*(1 - 6 + 3)*(l**2 - 4*l**2 + 2*l**2) to c + x*l**3 + j*l**2 + w*l and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-22)\/16 + (-27)\/(-108). Suppose -5*r + u*r - 1360000 = 0. What is r rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4582*b**3*r - 19411*b**3 + 200*b**2*r + 7*b*r - 2*b + 8874*r wrt b?\nAnswer: 27492*r - 116466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 750224.7ug?\nAnswer: 750.2247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 15*l**4\/8 + l**2. Let s be o(1). Let y = 67 - s. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n = 6. Suppose -d - 4*d = -10*d - 12*d. Let j = 8 - 4. Put j, n, d, -5 in ascending order.\nAnswer: -5, n, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 24*h = -136 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1776 and 65157?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2475 at least -8\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -26738946*0.2\nAnswer: -5347789.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 3290*h**2 + 539455*h - 542750.\nAnswer: 5*(h - 1)*(h + 325)*(h + 334)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4)\/(66\/(-110))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 233 - 48. What are the prime factors of t?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9783 is divided by 55.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114 - 220464?\nAnswer: -220611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3716 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-20)*a**(2\/17)*a)\/(a**(-20))**33 assuming a is positive.\nAnswer: a**(10899\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.36799 and 1?\nAnswer: 0.63201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 597.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -21.9. Let o = -0.33 + a. Let c = o + 0.08. What is c rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/94155871 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 682 = 3*v - 371. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*y = -1, n - 4*y = 6*n + 11. Let p be -2 - (3 + n) - -3. List the prime factors of (-4)\/8*p*-60.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5401.42 millennia to decades.\nAnswer: 540142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175836 and 6.\nAnswer: 175836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 1704?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 5*p**2 - 24*p + 19. Let u be d(0). Solve 9 = 3*t, 18*i + t - u = 14*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (3\/1 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1503*m**2 + 75*m - 185. What is the units digit of z(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5032, -4, -3?\nAnswer: -5032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 >= 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + z + 2*p - 346, 0 = 2*z - p - 142. What is the highest common divisor of 245 and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-23))**(-13)*u**(1\/5)*u**33*u assuming u is positive.\nAnswer: u**(1666\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 2 + 0)*-2. Let c = i - -2. Let h(l) = l - 2*l + 0*l + c*l. Let k(o) = o**2. Give k(h(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1703*v. Let a(s) = -3*s**2. Determine a(w(u)).\nAnswer: -8700627*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j - i = 1, -2*i - 2 = j. Suppose 4*p + 4*v + 4 = -j, -3*p + 27 = -3*v. Solve 4*y + 2*y**3 - p*y**2 + y - 3*y = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -187*n**4 + 51*n**2 + 370*n**4 - 185*n**4 + 24*n**2 - 2 in the form v*n**2 + d + g*n**3 + i*n**4 + q*n and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 - 121 = -86*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 709738 greater than or equal to 2129215\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000000000101 (base 2) in base 4?\nAnswer: -10000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*q - 797*q - 1407*q = -57096 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4 - 5 - 18*m + 2*m**2 - 11. Let w be b(11). Suppose 2*y = r + y - w, 4*y = -12. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7434 is divided by 266?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -856 + 865. Let o(c) = -c**2 + 8*c + 2. Calculate o(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 2280486509?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*j + 0*j + 0*j)*(243*j**3 - 486*j**3 + 225*j**3) in the form u*j**3 + p + d*j**4 + q*j + l*j**2 and give d.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 29\/9, 17168, -1\/5, -5\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20784*m**2 - 2*m - 3087 wrt m?\nAnswer: -41568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 11*i**2 + 22*i - 80. Let u be f(10). Let v = u - 48. Put v, -1, 0, -3 in decreasing order.\nAnswer: 0, -1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(224)\/sqrt(4) + sqrt(56))\/(sqrt(288) + 2*sqrt(288) + sqrt(288) - sqrt(288) - sqrt(288)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117980 is divided by 4915.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 173607*w**4 + 205457*w wrt w?\nAnswer: 2083284*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvijitw. Give prob of picking 1 t and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -494 - -497. Which is the smallest value? (a) -2\/17 (b) -2\/9 (c) 0.4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-35)\/(-9)))\/(((-2046)\/110)\/31).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-834*s + 407*s + 415*s)*(513 - 513 + 3*s) to the form i*s + p*s**2 + o and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - a + 20. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -93, 2 in increasing order.\nAnswer: -93, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*q = 125*q + 12050 + 4406 for q.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15544319 divided by 7\nAnswer: 2220617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.488 - -0.512. Let o = -31 + 34. Which is the biggest value? (a) -3 (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -g - 15. Solve -y + 7 = g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -24509\nAnswer: 4901.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/4, 0.5, -26758601.\nAnswer: -26758601, -7\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u + 24 = -4*b, 49*u - 47*u - 2*b = 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/29))**(9\/5) assuming c is positive.\nAnswer: c**(-18\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 5:49 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 6:33 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n + 3*n - 3*n. Let s(g) = -15*g. Let v(l) = 7*l. Suppose 0*t + 6 = t. Let d(j) = t*s(j) + 13*v(j). Give d(c(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + 81. What is the greatest common divisor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1093*s**3*z**2 - 18088*s**3*z - 2*s**3 + 12*s**2*z + 13*s*z + 4731*z**3 wrt z.\nAnswer: 2186*s**3 + 28386*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010100011101 - 0?\nAnswer: 100010100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 divided by 9?\nAnswer: -118\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -57 - 10*z**2 + 57 - 4*z**2. Let c(o) = -2*o**2. Determine k(c(n)).\nAnswer: -56*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 30379100 to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + 7 + -3 + 55?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 2:44 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 36.2 (b) -5 (c) 2\/9 (d) 1\/6 (e) 1\/4 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/11 (b) 5 (c) -3\/5 (d) -11 (e) -17.398 (f) -2 (g) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 818376295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 11, c: 2, a: 2}. What is prob of sequence kk?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7004766 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + 0 + 0 + (0 + 2 + 0)*(y**2 - 2*y**2 + 2*y**2) + (-1 + 1 + 2)*(2*y**2 + 3 - 3) + (2*y + 2 - 2)*(-235024 + 235024 - 191*y).\nAnswer: -375*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 + -42. Suppose 288 - 60 = 6*b. Let g = z + b. What is the greatest common divisor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 265 + -30. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c\/(c\/(c**0*c))))\/c))**27)**(28\/3)\/((c**(2\/11)*c*c**(2\/5)*c)\/(c**2)**(-12\/7)) assuming c is positive.\nAnswer: c**(191726\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 283*n**3 - 127*n**3 - 13*n**2 - 10*n**2 - 157*n**3 - 1 to the form j*n + y + o*n**3 + a*n**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*s - 48 = 0, -4*j - 5*s = -3*s - 40. Suppose 0 = -3*w + 4 + 5, -w = -3*h + j. Which is the second biggest value? (a) h (b) -0.15 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2*k, -5*k + 2*k = 2*f + 3. Find the second derivative of -4*o - 15*o**3 - 12*o**f + 32*o**3 wrt o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-171648)\/3366 + 51)\/(2*(-2)\/(-22))?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - ((-1 - -3) + 11 + -30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -195.74 - -4.51\nAnswer: -191.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 15 - -18 - 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 60, -58, -3\/7, 1, 1\/17?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(8\/5)\/(l\/(l\/(l**(-3)*l)*l))*l**13\/l*l**(-23) assuming l is positive.\nAnswer: l**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*((-8)\/(-4))\/2. Suppose -z*v + 28 = -2*v - f, v = 5*f. What is the smallest common multiple of v and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.01 (b) -10448 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*p**2 - 26*p**2 + 12 + 15.\nAnswer: -2*p**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/484 and 6993\/1782*(-6)\/84.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 13*s - 537. Let g be r(31). Solve -l = -3, -w = -6*w - 2*l + g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 - 32*d**2 - 44*d + 152. Let s be h(-14). Let p(f) = f**2 + 24*f - 11. What is p(s)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11 - (-880)\/66)\/(7\/6). Solve -l = -2*x - 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/10)\/3*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*f + 848, -5*z + 26 = 6. Suppose 0 = 3*n + p - 107, -4*n = -3*p + 64 - f. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 2, p: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5903 * 24762.\nAnswer: 146170086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621562375.\nAnswer: 5, 7, 479, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7 = 1. Let k(s) = s + 4. Let d be k(o). Solve -2*n = -d*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -0.4 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2. Let g = 0.34 - 0.44. Which is the second biggest value? (a) 3\/2 (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 - -0.6. Let k = 48 - 143\/3. Let r = -71\/198 - -3\/22. Sort u, k, r in increasing order.\nAnswer: r, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 2019 = 5*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) - (sqrt(209) - (sqrt(209) + 2*sqrt(209)*5) - sqrt(209) - sqrt(209))) - sqrt(209))\/(-1*sqrt(275) + sqrt(11)).\nAnswer: 13*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 - 2*t**3 - 2*t**2 + (-1 + 2 - 3)*(6*t**3 - 6*t**3 - 12*t**3) to m*t + f*t**2 + u + j*t**3 and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2468040 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1131392 + -748492. Round u to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1441212.\nAnswer: 2, 3, 83, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, -1, -182, -529, -1096, -1937, -3106?\nAnswer: -4657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**5 - 218*p**4 + 1331*p**3 - 2900*p**2 + 2684*p - 896 = 0.\nAnswer: -224, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224821175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9*1*14\/(-693)*-66\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0410299 rounded to 4 dps?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4) - (1 + -2). Let k = -1938.3 - -1934.3. Which is the third smallest value? (a) -5 (b) j (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 28 = -38*b + 42*b, 10*d + 5*b - 4 = 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/24*(-510)\/(-85).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -874 - -1204. Calculate the least common multiple of q and 231.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-20)\/r)\/(r**(11\/3)\/r*r) assuming r is positive.\nAnswer: r**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= -11229518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*y + 154 = 176*y. Put -1, y, -9, 2 in descending order.\nAnswer: 2, -1, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -171, -55, 137, 405, 749, 1169, 1665?\n\"Answer: 38*n**2 + 2*n - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2472457 + 10*v**2 + 13*v**3 - 2472476 + 0*v**2)*(-v + v - 2*v**2).\nAnswer: -26*v**5 - 20*v**4 + 38*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*s + 22 + 62 = 252*s. Put s, 19, 1, 2 in descending order.\nAnswer: 19, 2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*t**2 - 4 + 127*t**2 - 58*t**2.\nAnswer: 32*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40117533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2852270656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 277*x**4 - 20*x**2 + 7?\nAnswer: 6648*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12*3\/12*-2. Let f be x\/(-18) - (-1028)\/6. Calculate the greatest common factor of f and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0.22, 13.17 in increasing order.\nAnswer: -3\/2, 0.22, 13.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-108*p - 870*p - 701*p)*(2*p - 2*p - 3*p) as n + h*p**2 + o*p and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40200 and 32?\nAnswer: 160800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 170 + -7?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -791 + 816 + (-274)\/11. What is the fourth smallest value in y, 3, 1\/7, 0.2, -0.0245?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5098194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 59*z**7\/42 + z**5\/60 + 1067*z**4\/24 - 84*z**2 - 3*z. Find the second derivative of g(p) wrt p.\nAnswer: 3540*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 l when three letters picked without replacement from {n: 5, q: 3, e: 6, l: 3}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.6, 97 in ascending order.\nAnswer: -3, -0.6, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-6) + -5)*(3 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*c = 4974, -4*c = 58*y - 54*y - 4024. What is the greatest common factor of y and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 12:22 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1563*q**3 - 7*q - 6. Is 5 a factor of u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37310461.\nAnswer: 17, 653, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 17 = -18. Suppose 0 = -3*w + p + 13. Suppose -4*v = o - 0*o - 40, 0 = 2*o + 5*v - 74. What is the greatest common factor of o and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1.3 (b) -3\/2 (c) 0.88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -2 (b) 8724 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.130097 + 0.208454\nAnswer: 0.078357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*s - 11*s + 166 + 202. Let c(i) = i - 16. Let d(j) = j - 17. Calculate s*d(r) - 3*c(r).\nAnswer: r - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386646.\nAnswer: 2, 3, 13, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*l = -29*l - 79*l - 108 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -19 + (3 - (-2 + 32))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.96 + 5.06. Let s(a) = -a**2 - 32*a + 10. Let v be s(12). Is q smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((-4840)\/(-304) + (-48)\/3)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18697.\nAnswer: 7, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 68445369137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12630, -25708, -38786, -51864, -64942?\nAnswer: -78020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-89 + 1)\/((-27)\/108) - -5. Let p = v - 314. What is the remainder when 125 is divided by p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 129 + 45. Let d = a + -82. Does 4 divide (d\/(-10))\/((-1)\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-12))\/(-7)*(-45)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 6?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 192*j + 70. Let t be h(-5). Suppose 2*x - 5*x = -36570. Let v = t + x. Round v to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d - 4. Let p(w) = 5*w - 5. Let h be 6\/15 + (-52)\/(-20). Let g(r) = 2*r - 2. Let q(a) = h*p(a) - 7*g(a). What is n(v) - 5*q(v)?\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -342 - -339.07. Let u = -15.93 + 16. Let w = f - u. What is the closest to -0.1 in 5, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g + 27*g + 23*g - 30 - 15*g + 5*g as d + k*g and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*s - 20, -5*f + 0*f = -5*s - 25. Let k be (-9)\/(-1 - s) + -2. Suppose k*u - 4*u - 159 = 0. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, -791, -2214, -4985, -9554, -16371, -25886?\nAnswer: -38549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 0*b**2 + 1\/3*b**3 + 0*b**5 + 0*b**4 + 0 - 2*b + 3\/5*b**6. What is the second derivative of p(l) wrt l?\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 646 = 31*o - 284. Does 30 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4452*d**3*m**2*w**3 - 2*d**3*m**2*w - 11*d**2*m**2*w**3 - d**2 - 2*d - 8*m**2 - 10*m*w**3 wrt d.\nAnswer: -26712*m**2*w**3 - 12*m**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 103*k - 38. Let o be x(10). Let d be ((-46)\/(-14) - 3) + o\/7. Is d at least as big as 143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 11*r**2 - 10*r + 572. What is the remainder when f(17) is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 5. Let v = 12 - a. Suppose 0 = -7*s + 2*s - c + 23, -4*c - v = -s. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n - 18. Let q be g(6). Let b = q - -46. Solve -b = t - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27474 divided by -5?\nAnswer: 27474\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12190\/5300)\/((-1)\/(-10)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f + 38 + 47 + 19*f**2 + 19 - 100 in the form n*f**2 + o + i*f and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(1792\/(-21))\/(-64)*(-8)\/(-2).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 802170 and 11631465?\nAnswer: 23262930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 1 - (-12)\/3. Factor u**2 - u**j + 2*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1384740 divided by -12\nAnswer: 115395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15 - 18)\/(3\/(-92)). Find the third derivative of o*l**5 + 43*l**5 + l**2 - 4*l**2 + 29*l**5 + 8*l wrt l.\nAnswer: 9840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189 divided by -2665.\nAnswer: -189\/2665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-1)\/37*(-4)\/(-6).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -22*h. Let x(b) be the third derivative of -b**4\/24 - 9*b**2. Determine x(d(t)).\nAnswer: 22*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 2:49 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-4 + sqrt(405) + sqrt(405)*-2 + sqrt(405))**2 + -1*(sqrt(405) + -2)).\nAnswer: -72 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 656.8147 nanoseconds?\nAnswer: 0.0000006568147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 h, and 2 d when four letters picked without replacement from oodxxxxhxxddox.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 829515077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37766\/4889 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 + -40. What is the smallest common multiple of p and (-76)\/114*18\/(-4)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13585 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 522 or 9?\nAnswer: 522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*y + 5*y**2 - 6 + 1 - 6*y**2 as f*y + k*y**2 + r and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-1 - -3)*(-15105)\/35245.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + 43f4aa?\nAnswer: 43f4a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {m: 2, j: 2, h: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39780.\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5 + 9 = 0. Let k = 2603 + -2608. Sort k, -4, g, 2 in descending order.\nAnswer: 2, g, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) - sqrt(76)\/sqrt(4)) - (3 + sqrt(76)).\nAnswer: -2*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 147 + 14 = n, -132 = -3*i - 3*n. Let k = i - 31. Factor 7*h**5 - 194*h**2 - k*h**4 - 3*h**5 + 194*h**2.\nAnswer: 4*h**4*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 675, 1343, 2011, 2679, 3347, 4015?\nAnswer: 4683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - (-2 + 3)) - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 7680, -310 in increasing order.\nAnswer: -310, -11, 7680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 9*q - 2*q - 20*q.\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004849 to 7 decimal places.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 15 = 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 32\/5 of a millennium?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 84139.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 - 421 = 46*v + 361 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-555)\/(-20) + (-2)\/(-8). Suppose 2*p = 3*w - 8*w + c, -3*w + 24 = 3*p. What is the third derivative of 4*j**2 - 7*j**3 - 6*j**3 + j**3 + w*j**3 wrt j?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1149*g + 488*g + 195*g + (-21 + 21 + 13*g)*(-2 - 2 + 5) in the form h*g + a and give h.\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204905 and 1035.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 2\/2)\/2. Let q = -193615\/8358 - 2\/1393. What is the common denominator of (154\/4 - d)\/11 and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 5*i**2 - i - 5. Let t(b) = 2*b**3 + 16*b**2 - 2*b - 16. Let k(s) = 11*m(s) - 4*t(s). Factor k(y).\nAnswer: 3*(y - 3)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i - 9. Let j be x(-7). Let k be 39\/j - 2\/8. Solve -5*c + 15 = -k*l - 2*l, -l = c - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -3. Suppose 4*j + 0 = -k + 3, -j + d = 5*k. Let c = -92 + 96. What is the lowest common multiple of c and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -2\/39 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32537361169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**2 - 4*n**3 - 16*n**3 + 0*n**2)*(-2 - 5*n + 2) as x*n**4 + f*n + q + v*n**2 + j*n**3 and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 29 = -29. Solve y = 2*l - 2*k + 6, 2*l + 6*k = 4*k + 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by -8.\nAnswer: 57\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o. Let t(z) = z - 1. Calculate t(f(y)).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 257517 or -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/36))**(-19)\/(((s\/(s*s*s**(-17\/6)*s))\/s)\/s**(-43)) assuming s is positive.\nAnswer: s**(-1561\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2041\/40 - 405\/8. Let o = -4 - -7. Which is the second biggest value? (a) w (b) 0 (c) o (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l. Suppose 6 = 3*x, 5 = -3*v - 5*x + 3. Let n = v - -4. Let h(o) = 0 - 2*o + n. Calculate h(g(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100111 + -1011?\nAnswer: 10011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1872*v**2*z**4 - 16*v**2 - 14 wrt z.\nAnswer: 7488*v**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*q**3 - 1 - 37*q + 0*q**3 + 24*q**3 - 80*q.\nAnswer: 80*q**3 - 117*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 14*v - 65 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -220661\/993096 + -3\/110344. Let i be ((2 - 1)\/1)\/(-1). Sort i, -2.2, z in descending order.\nAnswer: z, i, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5285495615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 261421 and 10?\nAnswer: 2614210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.09, -2, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(54)\/sqrt(3).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 166 + 118 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 9428525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -32.57168?\nAnswer: -9.771504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11.4782*900\nAnswer: 10330.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p**2 + 3060*p - 15227. Determine y(5).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(22))\/sqrt(11) - sqrt(242)*-1)**2*-4.\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 312.29999549 - 312.3. Round p to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -16*y**2. Let c(t) = -13*t - 319. Let g be c(-38). Let a(m) = -9*m + g + 9*m - 8*m**2 - 175. Determine a(o(x)).\nAnswer: -2048*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12464.\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 9*k - 14. What is w(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 m, and 1 i when three letters picked without replacement from mrhgyriymyr?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 305264 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: Calculate prob of sequence sqss when four letters picked without replacement from {q: 4, s: 10}.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2211 - -21?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-343 + 343 - 141*z**3)*(-129 + 69 - z + 8).\nAnswer: 141*z**4 + 7332*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2*l**3 + l + 5*l**3)*(-16 + 33 + 39).\nAnswer: 168*l**3 - 56*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o + 74. What is the units digit of o\/(-6) + (-1)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 8:56 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201b (base 12) to base 10.\nAnswer: -24215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 0 (c) -3 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -241817*b**2. Let g(z) = -76*z. Give f(g(d)).\nAnswer: -1396734992*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/24 in 2\/13, 3.279, 0.4, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 5*b**2 + 4*b - 4. List the prime factors of g(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 3:05 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -605 divided by -3.\nAnswer: 605\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 52263 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10 - 91\/(-35))*(-32)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -18. Find the second derivative of s*y**2 - 11*y**2 - 5*y - 5*y**2 wrt y.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11630 at most -11627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4085 is divided by 102?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-6\/13)*u\/(u*u\/((u*(u**(1\/7)\/u)\/u)\/u)))**(2\/25) assuming u is positive.\nAnswer: u**(-254\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.53434ml to litres.\nAnswer: 0.07853434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4421730 is divided by 1150.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 - -125. Suppose 4*w = -7*t + 5*t - 230, -3*t - f = 4*w. What is the units digit of 1\/(3\/(1 - w))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/97? (a) 0.4 (b) 224 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 10 = -3*o - v, o = -v - 2. Suppose 33*n = 31*n. Is o equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.07, 1\/9, 25?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 + 3*a**2 + 16*a - 575. What is f(0)?\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 2*i - 8. Suppose i*b - 16 = -0*a - 4*a, 0 = -a + 3. Let j(d) = -2*d - 4. Let h be j(-5). Calculate the highest common factor of h and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 55. Suppose q - s = -3*q. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 3 + 2 - 5. Calculate b(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 22 = 98. Let o be 30\/8 + (-6)\/r. Suppose 0 = -3*z - 0*z, 4*p + o*z = 12. Solve -p*v + 6 = 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gglg when four letters picked without replacement from {u: 4, l: 4, a: 7, g: 3}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50627030, -50627031, -50627034, -50627039, -50627046, -50627055?\nAnswer: -50627066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -345 - 33*u**3 - 148 + 35*u**3 in the form o*u**2 + i*u**3 + m*u + w and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 124995 less than or equal to 124993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -2)*70\/7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765669 to the power of 1\/2, to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138690302?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*r - 34*r - 27*r - 55*r - 373.\nAnswer: -16*r - 373","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 149\/2 or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134003 + -21?\nAnswer: -134024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 7*o + 9. Let d be u(-6). Suppose h + g = 1, 2*h - g = -h + d. Suppose 75 = 5*k + 2*y, -h*k = k + 5*y - 90. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 2168\/125?\nAnswer: 2168\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*v - 140*v - 25 + 9 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*d = 14, -4*r - 5 + 0 = -5*d. Let f(i) = -i**3 + i**2 - i + 1. Let v(q) = -7*q**3 + 5*q**2 - 4*q + 5. Determine r*f(c) + v(c).\nAnswer: -2*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j + 1. Let a(o) = -6*o - 3 + 4 + o + 2*o. Let p = -2 - -9. Calculate p*s(h) - 6*a(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 3*x**2 + 2*x - 1. Let y be l(3). Calculate the greatest common divisor of 20 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2656110099?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*l**3 - 100*l**3 + 52*l**3 - 168*l**3 + 13*l**3.\nAnswer: -319*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*w + 2, 0 = 9*w - 4*w. Solve -c + 3 + d = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p**2 - p**2 - 15*p**2)*(44 + 46 + 23 - 23) to o*p + y*p**2 + l and give y.\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q = 56*q - 47*q + 41147. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5242*f - 3 + 6728*f.\nAnswer: 1486*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3*b + 11 = 0, -18*b = -5*k - 13*b + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1326.6669 rounded to the nearest ten?\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 741*g - 205*g - 28148*g**3 + 28146*g**3.\nAnswer: -2*g**3 + 536*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29164*k**3*o**3*y + k**3*y - 4*k**2*o*y**3 + 250*k*o**3*y**3 + 95874*o**2*y wrt o.\nAnswer: 174984*k**3*y + 1500*k*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-77)\/(-49))*(-80)\/16.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2. Let j(f) be the first derivative of 551*f**2\/2 - 76*f + 2. Let w(o) = -22*o + 3. Let y(i) = -3*j(i) - 76*w(i). Give y(l(g)).\nAnswer: -38*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -576212, -1152424, -1728636, -2304848, -2881060, -3457272?\n\"Answer: -576212*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 7556?\nAnswer: 7552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 7759\/13, -0.4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.04 + 0.04. What is the closest to -1 in -0.2, x, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-10858.6.\nAnswer: -2171.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 6*c + 5*c)*(-4*c - c + 4*c) + 4*c**2 + 5*c**2 - 2*c**2 + (4 - 3 + 1)*(c**2 + 4*c - 4*c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - 1000000111000?\nAnswer: -1000000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, l: 1, e: 1, p: 2, u: 2, k: 1}. Give prob of picking 1 e and 1 k.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - x + 21 = -0*x, 0 = -5*k - 5*x + 30. Suppose 42 = k*q + 32. Solve q*w + 0 = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2148744236 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -265*((-2612)\/1630 - (-288)\/180). Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -13*w - 75. Let u be r(-6). Suppose 0 = -u*p - 6, -382 - 4070 = -4*a - 4*p. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/7 - 556*i\/7 - 160.\nAnswer: 2*(i - 280)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/((-12)\/(-420)*7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d**3 + d**3 + 2*d**3)*(-173 - 160 + 58359*d - 166 - 163 + 662) to the form a + k*d**2 + w*d**4 + t*d**3 + g*d and give w.\nAnswer: -116718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 29*x + 1497. Determine p(-61).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, a: 8, f: 2}. What is prob of sequence aaaf?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5429574*l**3 - 720808*l**2 - l + 15 wrt l?\nAnswer: 32577444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {c: 1, n: 5, p: 1, f: 2, s: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-4)\/2) - 3. Let r = i - -14. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/10 - -7\/10. Which is the second smallest value? (a) 1\/6 (b) -0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 740\/75 - 2\/(-15). Suppose 14*o - a*o = 1644. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28336\/(-660))\/(-28) + (-16)\/10.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64000 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 3:03 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-1)\/10)\/((-42)\/112)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 - 30*w**2 + 30*w**2.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 36*g - 66. Let o be s(2). What is the greatest common divisor of 94 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112.7 - 113.4. Which is the third smallest value? (a) 7 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*y + 1261, 4*y - 1524 = -3*u + 199. Calculate the greatest common factor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - 4*a + 6*a + 6*a - a - 3*a - 21 + 21 + 37*a - 3*a + 3*a - a + (5 - 3 + 0)*(3*a - 3*a + 2*a) + 4 - 2*a - 4.\nAnswer: 42*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7808 + -4?\nAnswer: 7804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2718)\/(-10) + (-1)\/(-5). What is the units digit of p\/24 + 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -295 + 584 - 289 - 287*s + 22*s in the form i + g*s and give g.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddddddddcdcdcdd. Give prob of picking 1 c and 1 d.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 99 + 156 = 0. Suppose 4*u = 123 + i. Let j be (3\/(6\/26))\/1. Calculate the highest common divisor of j and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 - 5*n**3 - 2*n**3.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - y**2 + 3*y - 233. What is s(0)?\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2 - 3*o + 7. Let h(l) = 1. Let m = 78 + -72. Let u(g) = m*h(g) - q(g). Determine u(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o - 1. Let c be 4755\/24 + (-15)\/120. Let l = -195 + c. Determine x(l).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -681*r + 684*r - 83, -f + 55 = 2*r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (220\/220)\/(0 + 2\/6). Suppose t - 4 = -3*x, 5*t - 4*x + 2 = 3. Solve -t + g = 5*r - q, 5*q = -5*r - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1798444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -17*r - 93. Let m be k(-6). Suppose -5*q + z = -15, -8*q - 4*z = -m*q - 16. Find p, given that 0 + 1\/6*p**q - 1\/3*p - 1\/2*p**2 + 0*p**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 500 and 176655250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q**3 + 8*q**2 + 4*q + 6. Let j(x) be the second derivative of -x**5\/20 + x**4\/12 + x**3\/6 + x**2\/2 + 203*x. Calculate g(n) - 6*j(n).\nAnswer: -2*n**3 + 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 615 and 1315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*p - 338 - 347 = -685 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 0 - 1503\/3) + 3. Let h = t + 998. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 24*u. Let a(t) = -2*t + 54543. Determine a(w(x)).\nAnswer: -48*x + 54543","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 278029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*d + 1, -5*d + 3 - 2 = -f. Does 13 divide 927\/36 - (-1)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51930.\nAnswer: 2, 3, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -3, 4, -37, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3493.309 decades to years.\nAnswer: 34933.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -6 + 15. Let j = o + 8. Suppose 5*r = -j*q - 0*q + 40, -5*q - 20 = -r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -245, -0.1, -2, -15, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 647961 and 6233?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 24*l**2 - 2*l - 44. Let t be r(-24). Suppose -t*k + 3*q - 4683 = -7*k, -k + q + 1561 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10762 - -71?\nAnswer: 11053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101212212100 + -112?\nAnswer: -1101212212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*k - 3. Let a = 3307\/177 - 56\/3. Which is smaller: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, k: 3, f: 1, g: 2, x: 7, e: 1}. What is prob of picking 1 g and 1 f?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (2 + 1 - (14 + -25 + 11)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 95\/12*400\/(-1000)*-2*9\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3844 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15792 is divided by 2598.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48392 + -24?\nAnswer: 48369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**3 + f**3 + 7*f**3 + (-f**3 + f**3 - 2*f**3)*(-5 - 2 + 5) + f + f**3 + f**3 - 2*f.\nAnswer: 9*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 12:41 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.584 and -0.07.\nAnswer: -0.18088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 58182.82um in kilometers?\nAnswer: 0.00005818282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235 times -259?\nAnswer: -319865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 11*w = 2816. Suppose 5*p - 9*p = w. What is the common denominator of -46\/21 and -4 + 8 - 4 - p\/42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1225\/2 + 645. Find the common denominator of d and -37\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/9)*n\/n**(2\/9)*n**(-2\/23)*((n*n\/n**(3\/4)*n*n)\/n)\/n assuming n is positive.\nAnswer: n**(1423\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.467 - -10?\nAnswer: 8.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*x - 31 = -2*i, 35 = 3*i - x. Let o = i + -3. Suppose b - 32 = -3*q + 11, 0 = -5*q + 4*b + 100. What is the remainder when q is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10095 is divided by 85.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -25, 0.\nAnswer: -25, 0, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1135 = -5*b - 3*r, -b + 7*r + 204 = 3*r. Suppose o = 3*p + 22 + 34, -b = -4*o - p. Let m = -3 - -22. What is the remainder when o is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*(sqrt(704) + 1) - sqrt(704)) + sqrt(704) - (4 + sqrt(704) + 1)) + -6*(0 + (sqrt(704) + 0)*-3))*1)**2.\nAnswer: -1152*sqrt(11) + 228112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**0\/o)\/o)\/(o**(-1)*o)*(o*o*o**1*o)\/(o*o*(o*o**2)\/o*o))**(2\/159))**(-1\/28) assuming o is positive.\nAnswer: o**(1\/742)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 37, 34, 31, 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3491*c**2 + 340 + 3489*c**2 + 0*c + 7*c + 148 to the form x + s*c + l*c**2 and give x.\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 26519 = 20436. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/7 - 4392*a\/7 - 4822416\/7 = 0. Calculate a.\nAnswer: -2196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 14296?\nAnswer: 28592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2775 by -5.\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*b + 2*l, 0*l - 5 = -b + 5*l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -348 + 351. What is the second biggest value in -2\/13, 0.1, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 8 = -j, 12*g + 20 = 7*g + j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -413*c - 2. Let s be l(-4). What is s rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 1\/2*b**3 + 2*b + 0 + 0*b**2. Let c(t) = 0*t**2 + 0*t**2 - 2*t**2. Calculate v(c(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184 + -117 + (174 - 115).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 3:49 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 150?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 11cd?\nAnswer: -11d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeaae. What is prob of sequence aeae?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 9 + 6 = 3*y. Put -69, 4, -4, y in decreasing order.\nAnswer: 4, y, -4, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.3 (c) 2 (d) 88 (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 14. What is the units digit of (-34)\/(-8)*(-4)\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 12*t - 375. Let g be l(-20). Calculate the greatest common divisor of 74 and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/(sqrt(9)*-1)*1)\/(-2*sqrt(360)*2).\nAnswer: sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 - 2*r**2 + r - 2. Suppose 0 = z - 3*u - 11, -4*z + 5*u = -9 - 14. Does 8 divide x(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 4*m + 67 = 0, 2*b - 296 + 268 = -2*m for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52.03 - 1.03. Let g = i + -80. Which is the closest to g? (a) 5 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -38ab6?\nAnswer: 38ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -25. Let r be 6\/x*(-44)\/6. Let u = 22 + r. Solve u = -4*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 3*s**2 - 3*s**2 - 37 - 3*s + 6*s.\nAnswer: -3*s**2 + 3*s - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12160 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5 - 23 - 13*p**2 + 16. Let v(x) = -6*x**2 - 1. What is 4*r(f) - 9*v(f)?\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/8 - 17403*m\/8 - 8701\/4.\nAnswer: -(m + 1)*(m + 17402)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/8)\/((-3)\/132). Suppose -v - 30 = -5*f. Calculate the remainder when 33 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -221062 and -221060 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9198 and 5204024?\nAnswer: 46836216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.53 (b) -3\/7 (c) 1\/3 (d) -2 (e) -5\/4 (f) 76371\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 10.8. Let g = 0.6 - f. What is the nearest to -2\/3 in -3, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-70)*((-7)\/4)\/(1885\/754).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -51*q**3 - 10*q**2 + 21*q. Let m be r(-16). What is m rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x + 3. Let t(s) = -2*s**2 + 8*s + 14. Let g be t(6). Let b(w) = 7*w - 5. Let q(p) = g*c(p) - 6*b(p). Let y(l) = 3*l**2. Determine y(q(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3750356991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.51? (a) -7 (b) 0.3 (c) 2 (d) 92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.3? (a) -101 (b) 11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/6)\/((-1)\/6). Suppose -v*c = -4*c + 4. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*o**3 - 97*o**2 - 148*o**2 + 396*o**2 + 151*o**3 - 151*o**2.\nAnswer: 216*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxe when three letters picked without replacement from {k: 3, e: 2, m: 3, x: 2, w: 10}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7824324 and 2760?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1400, 214.\nAnswer: -1400, 5, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332309 is divided by 331?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -104 + -14 + 6 + 6. Let x(w) = -69*w**3 + w**2 - w. Let f be x(1). Let m = f - u. What is the remainder when m is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(-2\/53))**(2\/79))**5)**29)**41 assuming a is positive.\nAnswer: a**(606390\/4187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.5 + 1. Let k = 11.5 + a. Let d = k - -3.5. What is d rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohk when three letters picked without replacement from {o: 2, v: 8, h: 5, k: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30690 is divided by 756.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-6)\/(-2) - 0. Let s be (-4 - g)*(-3)\/(-2). What is the units digit of 9\/(-6) - 15\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -8) + -15 + (10 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 39, 0.1, 4, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 2.225\nAnswer: 2.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18320462?\nAnswer: 2, 137, 66863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 17*l = -16*l + 20, 105 = 21*q - 4*l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n - 4. Let d be l(-5). Let c(a) = -a**2 - 2*a + 1319. Let v be c(-37). Calculate the greatest common factor of d and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-45)\/6*(-4)\/6. Suppose -259 = 17*j - 2962. Let l = j + -159. Solve l = -i*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 18 = -5*s, 0 = z - 2*s - 13 + 3. Suppose 4*q = -3*f - 48, -q = 3*q + z*f + 44. Let r = q - -120. Is r a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -140 - -148. Solve -u = -3*u - x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.3, 264\/125 in decreasing order.\nAnswer: 8, 264\/125, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -544, -2191, -4712, -8113, -12400, -17579, -23656?\nAnswer: -30637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*b**3*w**2 - 115*b**3*w + 2*b**2*w - 3*b*w**3 + 13*b*w + 17*w**2 - 2*w wrt w.\nAnswer: 70*b**3 - 18*b*w + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0100678 to four dps.\nAnswer: 0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 6*l**2 - 7*l + 2. Let p be w(-4). Calculate the lowest common multiple of 24 and ((-3)\/(10 + -4))\/(p\/12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in 2\/9, 2\/11, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 178, -4, -496, -1454, -3034, -5392, -8684, -13066?\n\"Answer: -26*y**3 + y**2 - 3*y + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4 + ((-6 + 3 - 5)*(-1 - 2 + 0) + 3 + 4 - 25)*(-1 + 1 + 1)*(-2 + 2 + 3))*(-b + 1 - 1).\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 10331?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 9\/4 - (-9)\/(-12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3\/5 + 528065*g**2 - 2640326*g\/5 = 0.\nAnswer: -2640326, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 5*o + 5, 6*f - 3*f = 3*o - 3. Suppose -2*j - 3*n - 7 = 0, 2172*j = 2167*j + 5*n + 45. Which is the closest to -2? (a) -1 (b) f (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72505421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -n - c, -154 = c - 159. Let r be -2 - 11*(-1)\/2. Is r <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1822*-0.5.\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 117723 and 117722 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, b: 15}. Give prob of sequence xbx.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2\/11 + 75190*w\/11 + 75168 = 0. What is w?\nAnswer: -37584, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 1\/7, 1\/10?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -20, 11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21244064561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = 205428 - 495900. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k + 0 + 2 - 3*k)*(-1835*k**2 - 840*k**2 - 4565*k**2).\nAnswer: -14480*k**3 - 14480*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**4*o - 11*g**4 + 119*g**3*o - 85*g**3 - 10275*g**2*o - g**2 + 337*o wrt g?\nAnswer: 72*g*o - 264*g + 714*o - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 404286 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**6\/60 - v**3\/3 + v**2\/2 + 2. Let j(r) be the second derivative of a(r). Find the first derivative of j(i) wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 4, -3\/5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -179 - -178.8. Let i = 2\/78969 + 23901278\/236907. Let d = i - 101. Sort b, 0.5, d in decreasing order.\nAnswer: 0.5, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/2)\/((-6 - -4)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (129766\/637)\/62*-7\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 2, 0, -263?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2828+-110720\nAnswer: -113548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = u + 10, 0 = 3*u - 2*j + 3*j + 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**4\/12 - 2*m. Let g(x) = 9*x + 4*x**2 - 26*x + 17*x. Determine l(g(v)).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -23. Find the common denominator of 49\/o + -1 - 0\/(-1) and -125\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 2*h**2 - 3*h - 2. Let w be y(-2). Let v(x) = x**3 - 3*x - 3 - w + 13*x**2 - 17*x**2. Let c be v(5). Solve -c*k = -0*k - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 44. Suppose -3*k - x*i - 38 = 2*k, -1 = i. Let c be 7 - (k + 8\/2). Calculate the greatest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 1)*(24970\/(-1920) + 13). Let g(r) be the third derivative of 1\/480*r**6 - k*r**4 - 1\/6*r**3 + 0*r + 0 - 4*r**2 + 1\/60*r**5. Solve g(f) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23.8 - 24. What is the closest to z in -1, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4512 - -7261. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -178896, -178888, -178860, -178800, -178696, -178536?\n\"Answer: 2*r**3 - 2*r**2 - 178896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 299, 662, 1149, 1748, 2447?\nAnswer: 3234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 6*u + 3. Let z be x(2). Let c(i) = -i - 2*i - 4*i. Let k be c(z). What is the greatest common factor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t - 61. Let z(d) = -2*d + 31. Let n(r) = 3*b(r) + 5*z(r). Let p(v) = -2*v**2. Calculate p(n(k)).\nAnswer: -8*k**2 + 224*k - 1568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/69 - 149100\/(-690). Find the common denominator of 15\/2 and (6\/(-20))\/(h\/7260).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*m**3 + 15*m**3 + 411*m**3 - m + 42*m**3 + 546*m**3.\nAnswer: 874*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 13*q - 16. Let a be m(11). Suppose -2*g + a*g = 4*u + 52, -4*g = 3*u - 38. What is the units digit of (-11)\/(g\/(-24)) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 20268*f**3 + 55 - 20279*f**3 - 106.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**5 + 38*u**4 + 54*u**3 - 278*u**2 - 52*u + 240 = 0.\nAnswer: -3, -1, 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163030 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.9 (b) -105 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15804 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18852 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948798 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -100.6 (c) -0.2 (d) -0.3 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 2503715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 + -385. Let r = -463 - t. Which is the second smallest value? (a) r (b) 1.1 (c) 0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from ppllpp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12 - 244749*h + 244753*h - 29*h**2 - 457*h**2 wrt h?\nAnswer: -972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 139*s + 2. Let u(m) = 31*m**2 - 7*m - 6. Let j(y) = -13*y**2 + 3*y + 3. Let t(h) = 7*j(h) + 3*u(h). Calculate l(t(f)).\nAnswer: 278*f**2 + 419","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**6\/30 + 4*x**5\/15 + x**4\/2 - 12*x**3 + 29*x**2\/2 - 17. Let v(p) be the second derivative of a(p). Factor v(n).\nAnswer: -4*(n - 3)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 10 - 56 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 246 = -9*r, -34*r = -5*p - 36*r + 41 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-10)*10\/(-15). What is the third smallest value in 4\/3, w, -9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-20) + 27\/(-5). Let a be -2*p\/(10\/4). Suppose 0 = a*y + 6 - 42. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12506 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.25706798 to three decimal places.\nAnswer: 20.257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11876797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 883.51 less than -1.1?\nAnswer: -884.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - u**2 - u - 1. Let v(t) = -6*t**3 + 5*t**2 + 2*t + 5. Suppose 0 = 2*o - w + 12, -o - 3*w + 3 = 2. What is o*m(h) - v(h)?\nAnswer: h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**2 + l**2 + 2*l**2)*(39*l - 198*l - 17*l) in the form f + h*l**3 + q*l**2 + w*l and give h.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9579?\nAnswer: 3, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-15)\/y**11*(y\/y**(1\/2))**(-1\/32) assuming y is positive.\nAnswer: y**(-1665\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -42\/5, -2, -4 in decreasing order.\nAnswer: -2, -4, -42\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4 + 3302*g**3 + 303580*g**2 - 1254008*g + 1267248 = 0 for g.\nAnswer: -1553, -102, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22778 in 3\/10, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y**2 - 92 + 41 + 39 + 20*y. Let p(k) = -1. Let o(n) = -6*p(n) + z(n). Let c(l) = 2*l**2 - 7*l + 2. Give -14*c(x) - 5*o(x).\nAnswer: 2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j**4 - 113*j**2 - 858.\nAnswer: -8*j**3 - 226*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*l + 253 = 763 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77231522?\nAnswer: 2, 2087, 18503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 44 + -45 + ((-45)\/18)\/((-6)\/4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -571 - 574 + 6*w - 5*w**2 - 559 - 4*w**3 + 1686. Let d(l) = -5*l**3 - 6*l**2 + 7*l - 19. Give -5*d(k) + 6*j(k).\nAnswer: k**3 + k - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8052 is divided by 693.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1265 and 880?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53783 is divided by 61?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 4, -11\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 18*k**2 - 16*k + 12. Let j be t(-19). Let v = 49 + j. Find the third derivative of -8*c**5 - 4 - 6*c**5 + v + 5*c**2 wrt c.\nAnswer: -840*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 10*l + 11. Let r be k(8). Let n be -1*0\/(2 + r). Solve n - 3\/5*g**2 - 3\/5*g = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*t + 36*t - 27 = -5*p, 5*t - 24 = 2*p for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, -34, -47, -56, -61, -62?\n\"Answer: 2*d**2 - 23*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -417048*q + 417048*q + 869*q**4 + 205 wrt q.\nAnswer: 3476*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 223\/6. What is the third smallest value in -3\/2, o, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -262, 0.4, -4 in decreasing order.\nAnswer: 0.4, -4, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*l + 193*l = 280. Solve -3*a + 0*x + 2 = l*x, 0 = -4*a - 5*x + 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, 13.4, -3\/5, 55?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*z**3 - 272*z**3 - 63*z**3 - 81*z**3 - 124*z**3.\nAnswer: -776*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 0, -28 in descending order.\nAnswer: 42, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29008, -29004, -28982, -28930, -28836, -28688, -28474?\n\"Answer: 2*d**3 - 3*d**2 - d - 29006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 31*z**4 + 4 + 2 + (4*z - 3*z - 3*z)*(-15 + 3*z**3 + 15).\nAnswer: 25*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8 - -1 - 3756*(-34)\/51.\nAnswer: 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2)\/sqrt(7)*3 + 1*((sqrt(99)\/sqrt(9))**2 + -4).\nAnswer: 7 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 36902 (b) -0.081 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-325)*35\/(-28)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 1\/3994 (c) -0.2211 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9 - -1)*1\/2. Let u be 170\/(-1)*2\/p. Find the common denominator of 55\/12 and 1\/(-3) - u\/10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 11*p**2 + 9*p - 7. Let d = -20 + 10. Let x be f(d). Is -1*((x - 5) + -17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -831 and -13.78.\nAnswer: -844.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c**2 - 4*c + 7. Let j(i) = -22*i**2 + 10*i - 20. Let s(w) = -4*j(w) - 11*r(w). Let u be s(-1). Solve 0 = 5*f + u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**4\/4 - 2*n**3\/3 - 43*n**2 - 117. Let u(z) be the second derivative of t(z). What is u(3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37446 and 5694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from {w: 2, g: 2, a: 3, t: 2, k: 4, l: 3}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-1 - (7 - 10 - -21))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*u**3 - 210*u**3 + u - 48*u**2 + 51*u**2 to the form o + d*u**2 + n*u + i*u**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 53.93579 from 0.046.\nAnswer: -53.88979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + (sqrt(343) + ((-1 + sqrt(343) - sqrt(343)) + sqrt(343))*6)**2)*-2 + sqrt(42)\/((sqrt(96) - sqrt(6))*4) + 5 + 2.\nAnswer: -33679 + 13945*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 610781 by 1011.\nAnswer: 610781\/1011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -6*p + 76. What is the tens digit of -18 + p + 3*31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 389064, 779876, 1170688, 1561500?\nAnswer: 1952312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**4\/4 + 7*j**2. Let d be h(5). What is the highest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9389 divided by -2\nAnswer: 9389\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.57550667 to 2 dps.\nAnswer: 7.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256)*1*-3 - (sqrt(256) - -3*sqrt(256)*-2))\/((sqrt(2) + sqrt(12)\/(sqrt(48)\/sqrt(8)) - sqrt(2)) + sqrt(2) + sqrt(2) + sqrt(128)\/sqrt(4))*-1.\nAnswer: -16*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1528 and 272.86.\nAnswer: 416930.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10913919 a multiple of 827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17 + 5)\/((-4)\/50). Is 4 a factor of d\/20*(-8)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {j: 2, q: 2, r: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12926 - 12925.88. What is the fourth biggest value in -2\/5, 0, b, 2, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -186 + 186.00008. Round i to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 14, j: 5}. What is prob of sequence jtt?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 196 = 4*r, 3*o - o - 4*r - 98 = 0. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 2 + 2)*(y**2 - 2*y + 2*y) - 83*y**3 + 83*y**3 - 12*y**4 + 2*y**2.\nAnswer: -14*y**4 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -25776, -24\/5?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4318713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 4716236 to the nearest 10000.\nAnswer: 4720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35892 or -35891?\nAnswer: -35891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -3, 5, 41?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21148278 is divided by 346693.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/18129 and -19\/2193609.\nAnswer: 2193609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 17*p - 212. Let m be a(17). What is the highest common factor of 10087 and m?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 0*b**2 + 3*b**2 + (4*b - 6 + 6)*(-8*b - 14*b + 6*b) in the form n*b + u*b**2 + m and give u.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 595216549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/570*-228*15\/207.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2012 (base 6) to base 5\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**5\/60 - o**4\/8 + o**3\/3 - 3*o**2. Let c be s(1). Suppose c = t - 60 - 46. What are the prime factors of t?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -145*t**4\/12 - 55*t**3\/6 - 55*t**2\/2 + t. Let m(o) = 0 - 10038*o + 10032*o + 0 - 6 - 16*o**2. What is 55*m(n) - 6*r(n)?\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) + 52\/14. Suppose -4*m + 152 = -3*m + 5*y, 3*y = -v*m + 523. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*sqrt(300) - sqrt(300) - (sqrt(300)*-1 + -4))**2 + -5 - (-4*sqrt(300)*4 + (sqrt(300) + (sqrt(300) - (2 + sqrt(300))) + -2)**2).\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 561777*v**2 - v. Let u(z) = 8*z**2. Determine n(u(r)).\nAnswer: 35953728*r**4 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*1\/((-14)\/(-14))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**4\/8 + 10*z**3\/3 + 19*z**2. Let p be c(-6). Solve 4 = p*v - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6*j - 344 = 0. Let c = j - -154. Calculate the highest common divisor of c and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 11\/24*f**4 + 0*f**3 + f**2 - 7\/60*f**5 - 11\/6*f**6 + 0*f + 0. Let m be r(8). What is m rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-177)\/118 + 14\/4. Is 39\/23 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70281, 281667, 634191, 1127859, 1762677?\nAnswer: 2538651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = -2*w + 144. Suppose 10 = s - 4. Calculate the remainder when s is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2 (b) 3 (c) -75 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.4 - 11. Let w = o + -1.5. Let v = -0.9 - -0.4. Which is the second biggest value? (a) 5 (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**3\/3 + 11*y**2\/2 - 110*y - 2287. What is b(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109153673*y**3 - 6226*y**2 + 1779 wrt y?\nAnswer: 654922038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 4:36 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -15*d**2 + 2*d. Suppose -11*u = 68 - 46. Let l(g) = -7*g - 2. Let s(f) = 16*f + 5. Let x(b) = u*s(b) - 5*l(b). What is y(x(v))?\nAnswer: -135*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12939 is divided by 899.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28826003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 9 = -4*a, -12*s = -8*s - 0 + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2226518 and 3131198?\nAnswer: 5026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(0 - 4\/2). Let o = p + 4. Let v be (-8)\/(-12) - 464\/(-24). What is the greatest common divisor of v and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {p: 1, g: 1, v: 3, o: 2, y: 5, e: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 596*s = 438*s + 4740. What is the smallest common multiple of 3435 and s?\nAnswer: 6870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(m**5 + 3*m - 3*m**5 - 5*m) + 0*m**5 - 3*m**5 - 3*m**5.\nAnswer: -8*m**5 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62002\/139545 - -2\/15505. Determine x so that -2\/9*x + y - 2\/9*x**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10530 divided by 390?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)\/(h**2*h*h)*(h\/(h**5*h)*h)\/h**(-3))\/((h**(-2))**(-45)*(h*(h\/h**(2\/7))\/h)**(5\/19)) assuming h is positive.\nAnswer: h**(-25187\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1363*i + 809. Is x(54) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a minute in seconds?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c + 2*c + 19*c - 3*c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 7*t - 14. Determine d(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9740*a = 19548*a - 9673*a - 5805 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 + 3*q + 5. Let p be f(-3). Suppose 35*j = p*j + 12. Which is the fourth biggest value? (a) -0.4 (b) -3\/10 (c) j (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1434 rounded to one decimal place?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 45*n**2 + 361*n + 16246. Calculate u(-45).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.2 in -2, -1\/7, 0.17, -0.5, 24?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**4\/12 + 15*b**3\/2 + 52*b**2. Is y(16) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*u**5 - u**5 - 5*u**5 + (0 - 2 + 0)*(-2*u**5 + u - u) - u**5 - 5*u + 5*u.\nAnswer: -10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1007*0.2.\nAnswer: 201.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**2 + 1\/8*x**4 + 1\/32*x**6 + 0*x**3 + 1\/10*x**5 + 1\/280*x**7 + 0 + 0*x. Solve a(v) = 0 for v.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2 - 10736308*b - 21472600 = 0. What is b?\nAnswer: -2684075, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 1. Let d(y) = -y**2 + 2*y + 2. Let a(s) = -d(s) - 2*q(s). Let n(p) = -63*p. Give n(a(m)).\nAnswer: -63*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 145 = -52. What are the prime factors of -1*p*(1 - 2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10401 + 14448. Is 57 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(-12)*(z**(-4)*z)\/z*z*z\/(z\/(z*z**(-1\/6)*z)*z)*(z**(-1)\/z)**37\/(z**4\/((z**(-1)\/z*z)\/z)) assuming z is positive.\nAnswer: z**(-493\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51388, -51390, -51402, -51424, -51456, -51498, -51550?\nAnswer: -51612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -38. Suppose x*b = 2*p + 989, 3*p + 593 = 3*b + 2*p. What is b rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/((-630)\/(-225))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 26. Let b be 45\/y - (-2)\/10. Let j = b + -2. Round j to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 0*y**2 - 2*y**2 - 6 - 1 - 1 - 8*y = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 18 + 1 + -3. Let i = r + -3. Let j = i - 19. Let d(p) = p + 6. Determine d(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - 3*y**3 - 39*y + 3*y**3 + 40*y - 3*y**4 in the form t + f*y + d*y**4 + i*y**2 + r*y**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -23. Suppose 4*b + 55 = i*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/(-5) + (-6)\/(-15). Suppose w + 0*w - d = 0. Suppose -w*t + 4*t + 10 = 0. Calculate the highest common divisor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7 - 2 - q + 3 - 11. Let i be (1 + 4)*(-4 + 3). Determine d(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(81\/90*(-15)\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 1 = 5*g - 26, 2*c + 2*g + 6 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. Let f = y + 6. What is the smallest common multiple of 6 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let m be 5 - 2 - (4 - g). Factor m - 2\/7*x**2 + 2\/7*x.\nAnswer: -2*x*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by -485713\nAnswer: 91\/485713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1512)\/24*2\/(-3). Let l be 2\/(2\/(-97)) - 1. Let z = l + 203. What is the greatest common divisor of q and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 367481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139550046*o**6 - 22*o**2 - o + 395630 wrt o?\nAnswer: -16746005520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4465117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - w + 2 = 0, 0 = -2*j - w - 0 + 1. Let x be ((-40)\/(-10))\/(23 + j). Which is the third smallest value? (a) -0.5 (b) x (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 542 = -5*t + 273, 2*t - 5*o - 326 = 0. List the prime factors of t.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4310 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -79*o + 4097. Let l be w(45). Solve 538*j = l*j + 36 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*j + 14*j + 53*j + 70*j - 139*j.\nAnswer: 73*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, w: 8}. What is prob of picking 1 w and 3 u?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*d + 0*d + 101 = 0, -4*n + 208 = 4*d. Suppose 2*r = -2*r - s + n, -5*r = -2*s - 85. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/480 and 55\/36.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 4)*(0 + 7 + 1) - 5 + 3 + 1 + 2 - 2 + 2 + (0 - 2 + 1)*(-2 + 1 + 3) + 3 + 1 - 5 - 1 + 2 + 1)*(3*k**4 - k**5 - 3*k**4).\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/3)\/(2\/6). Let i(u) be the second derivative of -u**6\/45 - u**3\/6 + u. Let y(x) be the second derivative of i(x). What is y(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 5:22 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1638, -1\/9, 0.3, -2, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -8911*o**5\/60 - 4595*o**3\/2 + 1818*o**2 - 2*o - 3. Find the first derivative of l(u) wrt u.\nAnswer: -17822*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 9*j + 25 + (-1 + 2 + 0)*(0 - j + 0) + 3*j - 4*j + 0*j - 4*j + 2*j + 3*j + (-2 + 1 + 3)*(-j + 2*j + 0*j) in the form s + b*j and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + ((-6)\/10)\/(6\/(-30)). Suppose 2*w - u = 16, u = -g*u - 20. Solve 6*x - i = 4*x - 6, -w = 2*x + 3*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {t: 2, g: 7, d: 1, o: 1, v: 7}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((710532\/867)\/(-54))\/(4*7\/(-238))\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/264 and 645\/(-1872) - (69\/(-180) + 10\/75)?\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89869 is divided by 8167.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55728)\/860 - -58)*(7\/2 + -1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1273, 2364, 3109, 3334, 2865?\n\"Answer: -29*q**3 + q**2 + 1291*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.00783 + -0.50783. Let h be 2*(23\/(-5) + 5). Which is the nearest to -41? (a) -1\/5 (b) h (c) -1\/10 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - -35) + 10 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (0 + 2)) + 23. Suppose -5*u = 10, 2 = -y - 3*u - 4. Solve y = 4*c + c + s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*n + 3)*(37*n**3 - 82*n**3 + 43*n**3 + 13).\nAnswer: 8*n**4 - 52*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -t**3 + 5050*t**2 + 83*t - 5259775 wrt t?\nAnswer: -3*t**2 + 10100*t + 83","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32021, -32019, -32017, -32015, -32013, -32011?\n\"Answer: 2*z - 32023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4201*a**2 - 45068.\nAnswer: -8402*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4376970 in 3, -1\/6, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + h - 6*h)*(-2 + 2 - 6).\nAnswer: 54*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 157\/((-10205)\/(-6100)) - 8\/(-52).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 225392480 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8412617?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-33)\/44*24\/(-9). Suppose -14 = -4*m - k*c, -3*c - 2*c = m + 1. Solve -s + 4 = q, 5*s = m*q + 4 + 25 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3476*p - 961*p - 12387*p in the form v*p + i and give v.\nAnswer: -9872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-814)\/(-10))\/(27819\/12645).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**(-32))**(-1\/3)*(g\/((((g\/(g**(-2)*g))\/g)\/g*g)\/g)*g**(-5)\/g)**(-2\/13) assuming g is positive.\nAnswer: g**(-386\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2064417705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.21 - 30.1232. What is s rounded to three dps?\nAnswer: 0.087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60404352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - -81?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p*w**5 - 653*p*w**4 + 6*p*w + 17*p wrt w?\nAnswer: -20*p*w**3 - 7836*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2 = -n, y + 8 = -y + 2*n. Is y\/3*-6 + 9397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 3, 39246.\nAnswer: -33, 3, 39246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, 0.3, -0.057?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:53 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74978098 - -547.\nAnswer: -74977551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**5\/2 - 1695*w**4 - 413316*w**3.\nAnswer: -3*w**3*(w + 356)*(w + 774)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 + 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + 24. Determine o(31).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1.612, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5603, 15809, 30571, 49889, 73763, 102193?\n\"Answer: 2278*i**2 + 3372*i - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 2*d - 448 = 0. What is the remainder when 189 is divided by d?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 at least as big as -26482\/707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 2\/9 (c) -5\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u + 11. Let o(d) be the third derivative of -2\/3*d**3 + 0*d + 15*d**2 + 1\/8*d**4 + 0. Give -11*o(w) - 4*t(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 22499 (c) -1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15597450*s + 15597462*s - 31194883*s.\nAnswer: 29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16597207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 153384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -382*y - 5. Let c be d(0). Let r(p) = -1. Let a(g) = -3 + 2 - g - 5. Give c*r(j) + a(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -38, 4, -2, 2\/15, 0?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.062, -1, -3 in decreasing order.\nAnswer: 0.062, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j + 32 = 23*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2954*s**4 - 8*s**3 - 4685*s**2 + 9*s.\nAnswer: -70896*s - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*s + 5*a = 3, -62 = -4*s + 5*a. Suppose 3*r - s = 2*r - l, 2*l - 6 = 0. Calculate the highest common divisor of r and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -6*k + k - 5*g, 3*k = 3*g + 108. Calculate the greatest common divisor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11256563, -11256525, -11256487, -11256449, -11256411, -11256373?\nAnswer: -11256335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 195\/2 - 1077\/10. Let m = 403\/4 - 102. Calculate the common denominator of m and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j**3 + 2*j**2 + 6*j - 1. Let p = -47 + 48. Let f(g) = -g**3 + g. Let u be (-10 - -3) + (0 - -1). Calculate p*m(y) + u*f(y).\nAnswer: y**3 + 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4761.015 - 4773. Let o = r - -12. Round o to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/((d**(3\/4)*d)\/d*d*d)*d*d*d**(1\/2)*d*d*d\/(d**4\/d))\/((d*d*d**3*d*d*d)\/d*d*d\/((d\/d**1)\/d))**(-6\/5) assuming d is positive.\nAnswer: d**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 3*a - 56*a - 9*a**3 - 59 + a**2.\nAnswer: -9*a**3 + a**2 - 53*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o**2 - 6*o - 64*o**2 + 240*o**2 - 6131 + 6*o + 6131.\nAnswer: 190*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 415587 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + x - 3. Let o be z(0). Let s = -2 - 0. Let i be 63\/165 + s\/11*1. Which is the closest to 0? (a) i (b) 2\/9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 1 - 1 - 2*g + 0*g + 0*g + (4 - 2*g - 4)*(-2 + 1 + 0) + 2 - g - 2 - 2*g - 1 + 1 + g + 0 + 0)*(2211 + 2476*g - 2211).\nAnswer: -7428*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -303199 > -303201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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: In base 2, what is 1 - 10101101?\nAnswer: -10101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**2 + 820*u - 2 + 0*u**2 + 74453*u**3 - 75181*u**3 wrt u.\nAnswer: -4368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 7 + 19, 4*q + 4*f - 65108 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1075 is divided by 57.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f. Let c(i) = 61*i - 1. Determine c(g(a)).\nAnswer: -122*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696566979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -10 (c) -2\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 9:21 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*o. Suppose -2*v + o*p + 18 = -3*p, -3*v + 13 = -p. Suppose -5*a + 26 = -v*a. What is the remainder when a is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r - 8. Let b be x(-5). Suppose -4*h + b*q - 62 = -7*h, 5*q + 10 = 0. What is the highest common factor of 198 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -28*w**2 + 18*w - 5. Let j(m) = 52*m**2 - 34*m + 8. Let k(r) = 6*j(r) + 11*u(r). Let q(i) = -6*i**2 + 9*i + 10. Determine -7*k(c) - 5*q(c).\nAnswer: 2*c**2 - 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + -5 + 0 + (-4 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 15 (b) 0.01 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - g + 1. Let q = 2 - g. Let w(d) = 21*d - 1. Let l(f) = -7*f. Let o(r) = q*w(r) + 8*l(r). What is the first derivative of o(z) wrt z?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 - 4*s**3 + 3*s**3 - s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2 - 8*l + 2 - 3 + 36*l to the form g + j*l and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j + 4*j - 3*j. Let f(c) = -12*c. Give f(m(x)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2. Calculate the least common multiple of 22 and -12*(-15)\/(2 + v).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35435*j**3 + 35446*j**3 - 70882*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94 + -82. Let j(m) = 18*m + 427. Let w be j(-24). Which is the closest to h? (a) 0.1 (b) w (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 14. Suppose -q*m = -4*m + 4*d + 20, 44 = 3*m + 4*d. Let z = m + -2. Calculate the remainder when 25 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 + 7*l**2 + l + 4. Let s(w) = w**2 + 1. Suppose 6 = -16*o - 10. What is o*j(n) + 4*s(n)?\nAnswer: -2*n**3 - 3*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2602625 a multiple of 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 7*i**4\/6 + 5*i**3\/3 - 4*i. What is the second derivative of z(q) wrt q?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 38904, 76776, 114646, 152514, 190380?\n\"Answer: -n**2 + 37875*n + 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20591257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 154*p**2 + 4397*p - 1064. Determine r(-116).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145111.47 milliseconds in minutes?\nAnswer: 2.4185245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40529d (base 16) in base 9?\nAnswer: 7834456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -130973, 1\/3 in descending order.\nAnswer: 1\/2, 1\/3, -130973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -16 + -53 + 26 + -29\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f**3 + 6*f**2 - 8*f - 4. Let n(a) = a**3 - 7*a**2 - 17*a - 6. Let w be n(9). Let y be (-2 + 7)*(2 - w). Is m(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 8*z**2 + 2*z - 12. Let p be d(8). Suppose p*r = -0 - 16. Let c(v) = -v**2. Let a(i) = 6*i**2 - i + 2. What is r*c(n) - a(n)?\nAnswer: -2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 31 = -5*t - 6, -4*t + 2*r + 26 = 0. Suppose 0*m - t = -3*a - 2*m, 0 = -4*a - 2*m + 14. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 - -74. Suppose -r*h - 4 = -4*w, 4*h + 5 = w + 11. Solve 5*l + w*m = -21, 4*l + 5*m + 0 = -10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-2 - (2 + -3)) - (-88 + (-80 - -128))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142953?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2 - 3*h + 2*h)*(-12*h**3 - h**3 + 0*h**3) + (-1 - 5 + 1)*(0*h**4 + 3*h**4 - 5*h**4) - 4*h**2 - 3*h**4 + 4*h**2.\nAnswer: 33*h**4 - 26*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 586529, 1173104, 1759677, 2346248?\n\"Answer: -c**2 + 586578*c - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 377\/27 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1752 and -243.06?\nAnswer: 425841.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-117)\/78 - (-106)\/28. Factor -32\/7 - 2\/7*j**2 - x*j.\nAnswer: -2*(j + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -820*g**3 + 55*g**2 - 55*g - 55. Let r(o) = 91*o**3 - 6*o**2 + 6*o + 6. Determine 6*m(f) + 55*r(f).\nAnswer: 85*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 375191 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 267747756 divided by 3961\nAnswer: 67596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1594?\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**4 + 432*d**3 + 2676*d**2 + 3600*d = 0. Calculate d.\nAnswer: -4, -2, 0, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 1\/2*w**2 - 1\/3*w**3 - 2 - 7*w. Calculate g(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, f: 4, d: 1, u: 7, j: 1}. Give prob of picking 1 d, 1 a, and 1 j.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w\/((w\/(w*(w*w**(1\/5))\/w*w))\/w*w*w))\/w)\/w)\/w)\/w**(-1\/2))**(-4\/9)\/(w**(-3)*w\/w**4*((w*w**1)\/w*w)**(-28)) assuming w is positive.\nAnswer: w**(2816\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**8)\/s**(-5))**(-1\/47) assuming s is positive.\nAnswer: s**(2\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 12*d**2 + 2*d. Is j(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81747*f**3*g**2*o**2 - 14*f**3*g**2 - 2*f**3*g*o**2 - 2*f*g**2 + 508*f*g*o wrt o?\nAnswer: -163494*f**3*g**2 - 4*f**3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*s + 64, -2*s - s - 4*c + 20 = 0. Solve 0*g + 4*g = 2*u + s, -8 = -2*g + 2*u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49901 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -400*m + 1714. What is the hundreds digit of s(-45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*n - 10, -q + 31 = 4*q - 2*n. Suppose s = b + 6, -2*s = -q*s + b + 26. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 - -99. Solve -3*y + 5*a - 12 = 25, -2*y + 5*a - z = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*k = 12844, 0*y + y = 3*k + 6413. Suppose -y = -3*f - 2069. Round f to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyyzzzyemzmzyymye. What is prob of picking 2 e?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 44 = -2*a, -593 + 607 = -5*a + 3*u. Solve 0 = -5*c + 5, 2*l + a*c = l + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(-1)\/(-2)*-1. Suppose c = y + y - 12. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w + 35*w + j = 92925, 604025 = 13*w + 4*j. List the prime factors of w.\nAnswer: 5, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 != 792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53042099 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -14 + 4*l + 46 + l**2 - 21*l. Let a be v(15). Let r(j) = 2*j + 23. Let x(g) = g + 11. Let q(b) = a*r(b) - 5*x(b). Calculate q(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304658*d**2 + 452490*d**2 + 371026*d**2.\nAnswer: 1128174*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 11*j**2 + 7*j + 14. Let g be q(10). Let m = g - -14. Let a be (6 + m)*10\/4. Calculate the highest common divisor of a and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*f + 30*f - 23*f as n*f + v and give n.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3519, 5, 3 in descending order.\nAnswer: 3519, 5, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5729168077 - -3?\nAnswer: -5729168074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 - 58. Let v(i) = i**2 - 8*i + 1. Let g be v(c). Let k(w) = 2*w**2 + 14*w - 14. List the prime factors of k(g).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2064.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 8*d**2 + 14*d + 6. Let q be j(-6). Let p be q\/(-4)*8\/(-3). List the prime factors of ((-96)\/p)\/3 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/5 + 9\/45. Let i(z) = 2725*z - 20. Is i(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 1\/2 (b) 0.1 (c) 2 (d) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*x**2 + 254272 - x - 254272 + x - x - 2*x**2 + (-x**2 - 4 + 4)*(3 - 3 + 1) + 3*x**2 + 0*x**2 - 4*x**2.\nAnswer: 25*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 5*v. Let j be g(-5). Solve j*l - 3 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/11))\/y**12*y**(-1\/2)*y\/((((y*y*y**(-1\/12))\/y*y)\/y*y)\/y) assuming y is positive.\nAnswer: y**(-1531\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -35. Which is the second biggest value? (a) s (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 1, s: 1}. Give prob of sequence bs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*p - p + 58*c - 61*c - 66, -13*p + 11*c + 110 = 6*c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 1.2. Let i = 3.83 - 3.9. Which is bigger: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 17*f - 165. Let j(s) = 9*s - 80. Determine -11*j(w) + 6*y(w).\nAnswer: 3*w - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 238194.90037 rounded to the nearest one hundred?\nAnswer: 238200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 593.5904 millilitres to litres.\nAnswer: 0.5935904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + -7 + -29 + 32.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**2\/7 + 231089736*k\/7 - 3337654130284356\/7 = 0.\nAnswer: 28886217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 376143707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6701 by -3.\nAnswer: 6701\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 576 and 216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/787410 and -109\/1326.\nAnswer: 13385970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -57d (base 16) in base 15?\nAnswer: -63a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 + 8*q**2 + q**2 - 2*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 36*x + 16*x + 29*x + 46*x - 30*x. Let l(a) = 4*a. Determine q(l(c)).\nAnswer: 388*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.1 and 694.\nAnswer: 692.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55.3 - -55.4. Which is the third smallest value? (a) w (b) 0.5 (c) -5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 5*m**4\/2 - 4*m**2 - 8. What is the second derivative of p(a) wrt a?\nAnswer: 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/4*48\/(-40). Suppose -13 + 1 = -l*k. Solve -6 + 22 = k*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1361896.\nAnswer: 2723792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/5)\/(x**(2\/17)*x)*x**(1\/3)*x\/((x*x**(-1\/2)*x)\/x*x) assuming x is positive.\nAnswer: x**(-961\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddjppprpfrpp. What is prob of sequence pjf?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 3. Solve -j - 2*g + 2 = 0, -9 = -3*j + 2*j + d*g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4 - 0. Suppose 0 = d + 3*c - 13, 4 = -3*d - c + 19. Solve -4*a - 12 = -d*w - 0*a, 2*w = y*a + 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*n**2 - 22*n**2 - 8*n**2 + 91*n**2 - 25*n**2 + 32 - 13*n**2.\nAnswer: n**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 11:49 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -528*m**5 - 3227*m.\nAnswer: -10560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -21*c**3 + 11 + 5*c**3 - 15*c**3 - 170*c**2 + 181*c**2. Let v(y) = 16*y**3 - 6*y**2 - 6. Give 6*r(i) + 11*v(i).\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 - y**2 + 4*y - 3. Let h be d(1). Let l(k) = 517*k + 2*k**2 - 2 + 2*k**2 - 8*k**2 + k**2 - 521*k. What is l(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (113\/((-48025)\/170))\/((-6)\/885).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 40. Let x = -22 - -47. What is the remainder when x is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 25001*d - 225127. Determine i(9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 6) to base 9\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-448)\/24)\/((-1)\/3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3 - 6*h**2 - h**4 - 2*h**3 + h**3 - 44 + 43 - 4*h = 0. What is h?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 12. Suppose 0 = 11*m - 6*m - 120. Suppose 22*z = 26*z - m. Solve 3*q - c = 3*k, q + z = 3*q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**2 - 2*n + 2*n)*(-2 + 2 - 2*n) + 3*n**2 - 3*n**2 + 3*n**3 + 13*n**3 - 35*n**3 - n**3 as x*n + q + h*n**3 + l*n**2 and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x. Let u(s) = 4*s**2 + 3*s - 3. Let d(a) = 7*a**2 + 7*a - 7. Let i(r) = 3*d(r) - 7*u(r). What is z(i(q))?\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o - 4*o - 2*o)*(-7 + 15 + 1)*(2 - 2 + 5) in the form d + q*o and give q.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + (24 - 10) - (-26 + 29 - (-2 - 1)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 - 2*t + 3. Let i be c(-3). Let o = i - -15. Put -0.08, o, -2\/13 in ascending order.\nAnswer: o, -2\/13, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 10)*(1 - 2). Let v = w - -7. Let z = v + 3. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/((-108)\/(-10)))\/((-5)\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106\/409425*412*5\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4600 and 72795.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9\/5, -1, -6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -1.603 (c) 0.1 (d) 4 (e) -0.3 (f) -2.4 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*o + 24*o - 33 - 43*o)*(-6*o**2 + 38*o**2 + 13*o**2).\nAnswer: 135*o**3 - 1485*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*a - 0*a - u, -5*a = -4*u + 8. Let q be (2 - 2 - a)\/(-1). Let l be 408\/(-60) + 7 + (-38)\/(-10). Solve r - 3*r + l = q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2401))\/(1*sqrt(343)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3459 + 4926. List the prime factors of s.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -110, -1, 2\/13, 2 in ascending order.\nAnswer: -110, -3, -1, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -150*h + 17098. Determine d(114).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w**3*w))\/w)*w)\/(w\/w**(-2\/3)))**(-2\/11)\/((w\/w**(-9))\/w*w*w\/((w\/(w**8\/w))\/w*w))**(-37) assuming w is positive.\nAnswer: w**(20731\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2634*j**2 - 2641*j**2 - 4*j + 4*j.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 29 - 9 = 0. Suppose -k*j = -0*j - 28. Let l = j - -19. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2, 9\/8, 0?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2499) - sqrt(2499)*3)\/sqrt(3).\nAnswer: -14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48356517 and 9.\nAnswer: 145069551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 4*((-2)\/6)\/(6\/(-63))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + (-17 - -11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by -2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_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: Solve -3689*t + 118245 = 1341*t - 219617 - 14238 for t.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v + 1. Let k = 84 + -93. Let b(m) = m. Determine k*b(h) + 2*l(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 19*q**2 - 22*q - 63. Let i be u(-18). Let h(x) be the first derivative of 1\/4*x**4 - x**3 + 3*x + 3\/2*x**2 - i. Calculate h(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (5 - 1) + (-10 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 426 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2442 + -11a?\nAnswer: 2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*j = -509*j - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 13. Suppose 0 = -2*l - l + c. Factor -m**l - 1 - 6*m - 2*m**3 + 3 + 7*m**2.\nAnswer: -2*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**4 + 2*c**3 + c**2 + 4*c + 2. Let p(j) = j**4 - j**3 + j**2 - j - 1. Let w(q) = -2*p(q) - r(q). Factor w(d).\nAnswer: d*(d - 2)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/(-88)*4\/(-6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 5*z + 5. Let d(g) be the third derivative of -g**5\/10 + g**4 - 4*g**3 - 704*g**2 + 9. Let c be (-4)\/14 - 510\/(-21). What is c*a(m) + 5*d(m)?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -4. Let u(f) = 20*f + 1. Is u(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 1, -213, 0 in descending order.\nAnswer: 5, 1, 0, -2, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1337, 2634, 3931, 5228, 6525?\n\"Answer: 1297*l + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-3) - (2 + 0). Let m be 114\/(-10)*5\/g. What is m rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22112 (base 4) in base 14?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 58 = -5*i. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -5*p + 12*p. Solve 5*g - 4*y - 4 = -1, 2*y = -3*g + p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7242342 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 16\/5 (c) 0.1 (d) 0.18 (e) 86\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(150) + sqrt(294)*2)\/(6*(sqrt(10)\/sqrt(5) - sqrt(2)) + (sqrt(8) + sqrt(32))\/sqrt(4)))**2.\nAnswer: 121\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4442534 is divided by 634645?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 595.6 - 590.6. What is the biggest value in i, -4, -0.4, -1\/12?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:45 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v + 1. Let d be b(1). Let l(o) = o**3 - 14*o**2 + 36*o + 4. Let h be l(10). Let i be (-9)\/h - 31\/d. Solve 0 = 3*a - 1 - i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -32*x**2 - 2*x. Let j be u(-2). Let f = j - -238. What is the highest common divisor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -140\/3 - -47. Let g be (-75)\/(-10)*(-2)\/(-3). Sort k, g, -1\/2.\nAnswer: -1\/2, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85 and 68.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -100.234 to 1 decimal place.\nAnswer: -100.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k**4 - 2*k**4 + 0*k**4)*(1 + 5 - 1) in the form t*k**3 + s + b*k + r*k**4 + x*k**2 and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -18. Let a(v) = v + 12. Let o be a(n). Let r(f) = 2*f - 2*f - f**2 + 4. Determine r(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4268 + -4267.9989534. Round t to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39473.807 to the nearest ten.\nAnswer: 39470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n**2 + 32*n**3 - 12*n**3 + 2*n - 4*n - n - 21*n**3 + 33. Let f be v(-8). Let q(c) = c**3 + 7*c**2 + 3. What is q(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*b = -201*b + 90*b + 540. Factor 2*o - b*o**3 + 0 + 2\/3*o**4 - 2\/3*o**2.\nAnswer: 2*o*(o - 3)*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -19*v + 22*v. Suppose -3*f = v*k + 215, f - 5*k + 275 = -3*f. Let x = f - -171. What are the prime factors of x?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-14)*(z**(-37)\/z)\/z*z assuming z is positive.\nAnswer: z**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 28 = -c, -5*c + x + 31 = -3*c. Suppose c*t - 5*t = -64. What is the tens digit of 66 + (-6)\/t + 11\/44?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - 4*l**2 + 6. Let k be n(3). Calculate the remainder when 12 is divided by 145\/30 + (-1 - (-28)\/k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 348\/2*(-8)\/(-24). Let m = d - 53. Let r = 26 - 22. Which is the closest to 18? (a) r (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 100, -2, -4 in decreasing order.\nAnswer: 100, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 3*a + 2*d, -a + 2*a + 3*d = -29. Let c = 10 + a. Let j = -1 - c. Solve 0 = 3*y + y + j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/s)**(18\/7)\/(s**(-2)\/s**(-2\/3)) assuming s is positive.\nAnswer: s**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*u - 2. Let n = -6 + 8. Suppose n*c - 3 = 33. What is the remainder when c is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/21)\/((-4)\/18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32*(276\/(-48))\/23.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*h**3 - 26 - 32 + 78 - 21 + 14*h**3 in the form t + k*h + m*h**3 + z*h**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5\/6, 10, 2\/11.\nAnswer: -4, -5\/6, 2\/11, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -13, -0.2, 1\/11, 0.07?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1097 is divided by 67.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14742 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 475, 936, 1383, 1810, 2211, 2580, 2911?\nAnswer: 3198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -2653143751.\nAnswer: -2653143750.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 36\/48229?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w**2 + 2*w + 570*w**4 - 2 - 565*w**4 - 4*w**2 in the form z*w**2 + n + y*w**4 + c*w + l*w**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25\/(-3) - 1\/(-3). Let t = h + 12. Put 5, t, -3 in descending order.\nAnswer: 5, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10 = -1. Suppose -6*a = -i*a. Suppose 2*m + 3*m - 110 = a. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2. Let p = 46 + -46. Let k(v) be the first derivative of p*v**2 - 2 - 1\/3*v**3 + 0*v. Calculate k(w(x)).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 6*w**2 - 2*w - 9. Let v be x(-6). What is the derivative of 8*b**3 - 8*b**v - 1 + b**4 wrt b?\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1144 is divided by 165?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -45.71 (c) -2 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -336 divided by 48\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 3*b - 25 - 15, 0 = -2*b. Calculate the least common multiple of (26 - -1) + 18\/(-2 - -8) and p.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 1. Let q(j) = 2*j**2 - 3*j + 39. What is q(y) - 4*t(y)?\nAnswer: 2*y**2 + y + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*i - 22 = 0, -4*i + 9 = -23*g - 123 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*t + 57*t + 888 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 1035?\nAnswer: 5175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -619 - 364. Suppose 51 + 132 = -z. Let q = p - z. What is q rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273091642 - -1031057.\nAnswer: -272060585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2*i = 0, -v + 1 = -178*i + 177*i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 25, 7, -49, -155, -323, -565, -893?\nAnswer: -1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 4:48 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 746, 0.1473?\nAnswer: 0.1473","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f + 19*f + 16*f - 55*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-2\/11)))\/z*z**(1\/23)*(z\/(z\/(z*z**(6\/13)*z*z*z)))**(-18) assuming z is positive.\nAnswer: z**(-267876\/3289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 8, -356*p + 5*q - 25 = -357*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 2 + 2)*(1 - 6 + 3) + 1 + 2*m**2 - m**2 + 1.\nAnswer: 5*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/328 and 81\/2296.\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*p**3 + 1 - 21*p**3 + p**2 + 1082*p - 542*p - 541*p to y*p + u*p**3 + w*p**2 + s and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-1)\/7) - -1. Let f be ((-81)\/t)\/((-1)\/20). Round f to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 318 + -175. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1824101, 1824104, 1824109, 1824116, 1824125?\nAnswer: 1824136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -27*v + 7. Let c be o(-2). Suppose -7*d = 96 - c. What is d rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*j = -1813 - 5070, -m + 6886 = 5*j. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:24 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 62*z - 961.\nAnswer: -(z + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4458*u + 4469. Determine s(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.69? (a) -1250 (b) 0 (c) 9.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 331*t + 863*t**2 + 304*t**2 - 1 + 1027*t**2 + 1370*t**2 wrt t.\nAnswer: 7128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 3402120?\nAnswer: 3402119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/5*((-10890)\/(-22869))\/(-6*4\/(-546)).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**17*m*m\/m**6)**29 assuming m is positive.\nAnswer: m**377","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 180371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - t = 5*v + 6, 2 = -3*v - 5*t. Let l = v - 0. Suppose -14*x = -15*x. Solve x = 4*b - 5*b + l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 22*l + 1. Let t be d(-1). Let w = t - -36. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.14 + -0.34. Let u = -0.200008 - z. Round u to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 22*t - 1071. Give i(48).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.3, 33, 10, 202, -1\/2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 517388200 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(2\/3))*r)\/r*r**(-2\/9))\/(r*r**(-4)\/r*r*(r*r**(-5))\/r) assuming r is positive.\nAnswer: r**(76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 10 + (-4 - -35)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83.1 - 80. Let z = 73 - 83.2. Let f = z + j. What is f rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o - 3*o = -7*o + 2172304. List the prime factors of o.\nAnswer: 2, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/(r\/(r\/(r**(-1\/8)\/r)))))*r**(-4))\/(r*r**3\/r*r*r*r**(-3)) assuming r is positive.\nAnswer: r**(-31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/((-12)\/(-26)))\/(286\/132))\/(4\/106)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-32))\/(2\/20*5)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12195\/199185)\/(6\/(-4))?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*l**3 - 4951*l**2 - 242249*l?\nAnswer: 24*l - 9902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 957 = -5169. Let s = z + 159. Solve s*t + t - 24 = -4*m, -2*t = -3*m + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/4662 and 61\/54?\nAnswer: 13986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/3)\/q*q)\/q**2)\/(q**(-4)\/(q*q*(q\/(((q\/(q\/(q\/(q*q*q**(1\/4)*q))*q))\/q)\/q))\/q*q)))**(-7\/6) assuming q is positive.\nAnswer: q**(-805\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 532.063 + -1.063. Let w = p - 527. Let g be -2 - -3 - 4\/6. Sort g, w, -0.5.\nAnswer: -0.5, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3, -50, -181, -438, -863?\n\"Answer: -7*s**3 + 2*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 110 + -1446 + 1369.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0 + 0*m + 1\/210*m**7 + 0*m**3 + 3*m**2 - 1\/60*m**6 + 0*m**4 + 1\/60*m**5. Let g(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 84\/(-8))*3*2610\/(-783)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7739079 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*o = -1317, 0 = y + 3*y - 3*o - 1053. What are the prime factors of y?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 26637, -3.\nAnswer: -5, -3, 26637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 - 1.06. Let h = 0.7 + l. Let v = -0.58 - h. Round v to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.386 + 20. Let i = d + 0.486. What is the third smallest value in -7\/2, i, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiqiiqiiii. Give prob of sequence qqi.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 506 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 9 - 4 = 0. Let f be ((35\/175)\/(8\/50))\/((-55)\/22). What is the second biggest value in 1\/4, 35, x, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 33 = 2*z, -2*z - 78 = -2*d - z. Suppose 23 = 8*y - d. Solve 3*k - 1 = y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - 2*f + 3*f + (3*f + 2*f - 6*f)*(0 - 1 + 8) in the form l*f + k and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + -53. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - -42?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87305*s - 41030*s - 46218*s.\nAnswer: 57*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*q**3 - 44?\nAnswer: 90*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -i + 29, -2*r + 3 + 1 = 0. Suppose t - 5 = o + i, 0 = -t + 3*o + 22. 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 -18 = -4*v + 2. Let b(o) = -7 + 0*o + v*o + 0 + 2*o**2 + o. Is 13 a factor of b(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10143 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -26 (b) -2 (c) -1344 (d) 3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 32*v**2 + 58*v + 46. Let z be x(30). Let c be (-36)\/(-21)*49\/z. Which is smaller: c or -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (84\/8)\/((-12)\/(-56)). Let u = 78 - v. Let o = -11 + u. What is the least common multiple of 24 and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.019 and 1483727639.\nAnswer: 1483727638.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 1225?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010011010010001010000 + -100?\nAnswer: -101010011010010001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203987?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 6015388.\nAnswer: 6015388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*w - 14*w = -11191 + 12055 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1997 + 795 + 7944 = 572*i - 2420 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -15*p**2 - 5*p - 3. Let z be d(6). Let i = z - 410. Let c = -17705\/18 - i. What is the common denominator of c and 93\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nizn when four letters picked without replacement from irmnnzz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80446 is divided by 246.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 0*s - 4*s)*(685*s - 114*s + 411*s) + 3*s - s**2 - 2*s - 2*s to the form o*s**2 + u*s + t and give o.\nAnswer: -3929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 2. Let r(f) = f**3 + f**2. Suppose -5*s - 5 = -0*s. Determine s*p(b) + r(b).\nAnswer: 2*b**3 + b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxw when three letters picked without replacement from wxnck.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3 + 9. Let u(j) = -j**2 - 4*j + 4. Calculate the remainder when 11 is divided by u(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 12:41 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/3, 4, -5, -128?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-35)\/28)\/5*(-8)\/(-6). Let h = -197\/3 + 65. Suppose 0 = -3*q - 9. Which is the nearest to d? (a) h (b) 0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 764333 (base 13) to base 11\nAnswer: 162951a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(144) + 3*sqrt(144))\/sqrt(1728) + 5 + -5.\nAnswer: -4 + 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmf when three letters picked without replacement from ffmrmrffmc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 1. Let w be (2 - 0) + (-44)\/20. Which is the closest to 0.1? (a) v (b) -0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 78\/30 - (-2)\/5. Suppose -4*m + m = -u*o + 828, -2*m + 273 = o. Let s = o - 5223\/19. Which is the third biggest value? (a) -15 (b) 1\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010011110110111000 (base 2) in base 12?\nAnswer: -465a74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (284\/5)\/((2\/(-29))\/(58775\/340895))\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8103002 is divided by 173?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*s**2 + 2 - 4 + 13*s**2.\nAnswer: -7*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 15*g**2 + 94*g + 44. Let d(l) = -3*l**2 + l + 11. What is 4*d(u) - p(u)?\nAnswer: -u**3 + 3*u**2 - 90*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19547677 + -14.\nAnswer: -19547691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.061 - -130\nAnswer: 129.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58107.\nAnswer: 3, 7, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 + -0.9. Is 7 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -83*h - 1008. Give f(-11).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + 1 + sqrt(637) + 2 + 2 - ((sqrt(637) - (2 + sqrt(637))) + -1 + (sqrt(637) + 0 + sqrt(637) - sqrt(637))*-2)))**2.\nAnswer: 2268*sqrt(13) + 51921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnununnunn. Give prob of picking 2 n.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1327701 and 912?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.16 - 0.16. Let l = c - 15. Suppose -5*t = -5*b + 45, 0*b - 5*b = 5*t + 45. Does t = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 34*l + 142 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezzzzzzzez. Give prob of sequence zeze.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6036 and 168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - 5*x**3 + 7*x**3)*(-4 + 4 - 3)*(1 - 3 + 0).\nAnswer: 30*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 + 972*v - 5 - 974*v.\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 3*s + s + 5*s to the form k*s + h and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23684 + 106741. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/684 and 137\/1409724.\nAnswer: 1409724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 12 = s, 5*v = -2*s - 3. Solve v = -55*f + 56*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let z(v) = -11*v + 94. Let d(t) = 8*t - 63. Let k(y) = -7*d(y) - 5*z(y). Give k(l(o)).\nAnswer: -o - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4649 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k - 12*k - 102 = -7*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -6347\nAnswer: -1269.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 745289 to the power of 1\/2, to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -2 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -153, -419, -685, -951, -1217?\n\"Answer: -266*n + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 610026084 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 48.45. Let p = g - 0.608. Let c = -1.378 - p. What is c rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*k - 789, k - 6*u - 417 = -3*u. Suppose 0*p - 3*p = -k. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10 - (31174\/4360 + (-7)\/(-4)).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(7\/(2219 - 7)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -1\/20*j**5 + 1\/3*j**4 + 0 + 0*j**3 + 0*j**2 - 3*j. What is the third derivative of w(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493272578*l - 3*l**2 - 493272578*l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqymthytj. What is prob of sequence ytyq?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -458 + 320. Let f = n - -150. Suppose -13*t + 17*t = -f. Let x(k) = -k. Determine x(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11442665?\nAnswer: 5, 13, 176041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x. Let l(s) = 35*s. Let z(m) = -41*m. Let j(f) = 7*l(f) + 6*z(f). Let u(b) = -3*c(b) + 4*j(b). Determine u(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.279125 take away -3020?\nAnswer: 3020.279125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22173*d + 22169*d + 308 = 0. Calculate the greatest common divisor of 6083 and d.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4661766.\nAnswer: 2, 3, 131, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.46 + -1.26. What is the closest to -1 in k, -5\/4, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.135117 times -0.266?\nAnswer: -0.035941122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*d - 6786 = -34*d. Let u = 744 + d. Let j(t) = t. Give j(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnkqqzktqkvn. Give prob of picking 1 z, 1 n, and 2 q.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 2*y - 25*y**2 + 23*y**2 + 10*y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + 2*-2*sqrt(70) + 1*sqrt(70)*-1)*-6)\/(((-2*sqrt(110))\/sqrt(11) + sqrt(810)*-2)*-5).\nAnswer: 6*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 + 28\/30. Suppose -2*b - 3 + 7 = 0. What is the nearest to -0.09 in 2\/7, m, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 281.2 * -0.3\nAnswer: -84.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 10:33 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2728.4871 months?\nAnswer: 0.227373925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.4 (b) 0.3 (c) -0.5 (d) 958619\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 3*q**7\/70 + 49*q**6\/40 + 52*q**5\/5 + 8*q**4 + 63*q**2. Let a(o) = 0. Calculate o.\nAnswer: -8, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*y - 12*y - 140. Suppose -8*m = -10*m + y. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/286*16137\/2445\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 416 + -415. Let i(z) = -5*z + 2. Let r(d) = -5*d + 1. Let w(c) = -4*i(c) + 5*r(c). Let k be w(-2). What is the highest common divisor of k and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21935.\nAnswer: 5, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19162 - -19140.082. Let q = -0.118 - t. Round q to zero decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -807?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -7.99384?\nAnswer: 15.98768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 24*t + 137. Let q be m(-6). Find the first derivative of 6*w**2 + 15*w**2 + 2*w - 13 - 56 - 12*w**2 + q*w**2 wrt w.\nAnswer: 76*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19319*r = 19306*r + 182 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2 - b + 22. Let v(f) = 9*f**2 + 2*f - 44. Let c(d) = 7*h(d) + 3*v(d). Calculate the least common multiple of 22 and c(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -2, -6, 1 in descending order.\nAnswer: 1, -2, -6, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2))\/((-84)\/56).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 54. What is a(30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*i = 12, 6*r - 13 = 2*r + 5*i. Suppose 6*q = r*q + 56. Let z = q - 4. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 12*x - 9. Let v be f(12). Let m = -6 - v. Suppose 3*h = -m*p - 1 + 4, 5*p - 3*h = -3. Solve p*y = y + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*b + 51*b - 112*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -237 + 237.01044. What is f rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - v - 1. Let d(a) = 28*a**2 + 10*a + 10. Calculate -10*b(w) - d(w).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-31)\/62)\/((-1)\/26). Solve 8*d - 5*t = 5*d + y, -9 = d + 5*t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 15 = -6*r. Let v be 1\/((-1)\/127997) + r. Round v to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 3*g**2 - 4. Let m be l(-3). Let v be 2 - ((-1)\/(-1) - 5). Suppose 0 = -5*w + v*w - 1. Sort m, 0, w.\nAnswer: m, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**2 - 33*y**2 - 16*y**2 - 11*y**2.\nAnswer: -47*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1245043880 rounded to the nearest one million?\nAnswer: -1245000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 49?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -19. Let s be (c + 2)*(7 + -1). Solve 5*t - 2*n = -n - s, 0 = 5*t - 5*n + 50 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -710*g**2 - 5*g - 7. Let i be f(7). Let t = 21232 + i. What is t rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 283222242 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1052616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r + 41. Let g be w(0). Let j = g - 36. Solve -j*x - 4 = -m - 0*m, -3*m + 3*x = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 19*m - 13. Determine w(-17).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6*l - 696545 = 3*l, 522445 = -3*u - 5*l. What is u rounded to the nearest 1000?\nAnswer: -174000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 3. Let y(x) be the first derivative of 97*x**4 - 97*x**w + 2*x**3 - 5 - x**7. Find the third derivative of y(k) wrt k.\nAnswer: -840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 24*z**2 + 4. Let b be u(-24). Let x be (b + (-42)\/9)*(-21)\/2. Calculate the highest common factor of x and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/90 and 85\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23246*o**4 - 46180*o**2 wrt o?\nAnswer: 557904*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3697)\/(-5) - (-21)\/35. Suppose 5*y - 10 = h, 2*y = 4*h - 14 - 0. Suppose h*v - z = -5*i, -i + 3*v + 132 = -0*i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -2, -16, -11 in decreasing order.\nAnswer: 3, 1, -2, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1698*o + 115 = -1703*o for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/6*(-78)\/4. Let l be 54\/13 - (-8)\/f. Suppose l*n - 3*a = 2*n + 87, -5*a + 24 = n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 18, d: 2}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.58, 1.2, 2\/11, -0.2, 1, -2 in decreasing order.\nAnswer: 1.2, 1, 2\/11, -0.2, -2, -6.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g + 1950 = 62*g. Calculate the greatest common factor of 210 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 - 31. Suppose -3*l = l + 4*z - 40, 5*z - b = 0. Suppose -6*u + l*u = -171. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o + 190 = 352 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q - 260 + 270. Let d be 12\/3*(-10)\/860. Which is bigger: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 5*j - 11. Let v be h(-6). Let t = v - -12. Solve -a + 2 = t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1264*i**3 + 419*i**3 + 427*i**3 + 425*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3891 is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.719886 millennia in years?\nAnswer: 5719.886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.007377 - 5.\nAnswer: -20.007377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1577\/(-399) - 56\/(-12).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2593949*d*i**2 - 90*d*i + 3*d + i - 1452 wrt i?\nAnswer: 5187898*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -5 (c) 13\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1104)\/80)\/((-2)\/10). What is the highest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*z**2 + 11*z**2 + 15*z**2 + (3*z - z + 0*z)*(-4*z + 4*z - 2*z) + 4*z**2 + z**2 - 4*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 4:08 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -0.1, -0.2 in ascending order.\nAnswer: -6, -0.2, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*n + 2*g + 76, 0 = 4*n + 2*g - 98. Solve 0 = -0*f - 5*f - n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*m - 432 = -3*m. Let k be ((-33)\/m - 3)\/(4\/(-96)). Solve 18*j - k*j = 60 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 1. Let z(f) = 3*f - 6. Let m be (-7)\/((-70)\/40) + -1 + -2. Calculate m*z(u) + 6*v(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 38802, 4, 14, 2 in increasing order.\nAnswer: 2, 4, 14, 38802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70265.21t to milligrams.\nAnswer: 70265210000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*g - 418 = -879 - 1339 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.7 and -485?\nAnswer: 484.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1. Let b = -372 + 264. Let o(p) = 6*p - 54. Let r(q) = b*c(q) - 2*o(q). Let a(v) = -2*v. Calculate r(a(m)).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 5. Let c be l(4). Let t(k) = 5*k. Let o be t(c). Let g = 0.0437 + 1.9563. What is the second biggest value in o, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153586, -305951, -458314, -610675, -763034?\nAnswer: -915391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 2*i**2 + 9*i + 5. Is f(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -36. Calculate the remainder when i is divided by 12 + (-2)\/(-1 + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034636 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11644401962 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93070, 93061, 93064, 93085, 93130, 93205, 93316?\nAnswer: 93469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 302*p - 710. Let k be s(3). Calculate the greatest common divisor of k and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3343, 1617, 15071, 41267, 84453, 148877, 238787?\nAnswer: 358431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*g**3*k*q - 5*g**3*q + 6*k*q**3 - q**3 wrt k?\nAnswer: -25*g**3*q + 6*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2 = -2. Let t = 0.13 - -0.07. Which is the nearest to 2\/5? (a) 0.3 (b) r (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pggggggppgpgpggpggg. Give prob of picking 2 g.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -300 - -368. What is the highest common divisor of 68 and w?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddeddddeedeed. Give prob of sequence ded.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-12)*88\/220.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 33*k - 1401. Calculate v(46).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 - 2*y**3 + 27*y**2 + 18*y = 0. What is y?\nAnswer: -3, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125770636?\nAnswer: 2, 103, 113, 24181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -302312 + -5250?\nAnswer: -312002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*u + 60*u - 3*u + 18 - 4*u.\nAnswer: 90*u + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 2*z - 2. Let c be k(3). Differentiate -3 + c - 12*q - q with respect to q.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**4 + 7*x - 12*x**4 - x**2 + 14*x**4 as f*x + a*x**4 + m*x**3 + w*x**2 + r and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/4 and -13\/59?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -21 * 0.052993\nAnswer: -1.112853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 + 13)\/(-4))\/(-4 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y + y)*(1 - 2 + 2) + 29*y - 2 - 6 + 6.\nAnswer: 30*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 8*l**2 - 11*l - 28. Let k be s(-7). Solve k*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 5:30 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(80)\/(1*sqrt(200) + sqrt(200)))\/(-2*sqrt(1152) + (sqrt(8) - 2*1*sqrt(8))))**2.\nAnswer: sqrt(5)\/250 + 50001\/50000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5\/2 - 651*r**4\/2 - 15753*r**3 + 17727*r**2 + 162837*r\/2 + 96525\/2 = 0. What is r?\nAnswer: -143, -75, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 251\/640 + 1\/128. Let x = 4.5 - -0.5. What is the closest to v in 2, 4\/5, x?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 645*t**3 - 18648*t**2 + 131908*t.\nAnswer: t*(t - 14)**2*(t + 673)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 10*b - 8. Calculate the remainder when -2 + (1 - (-1 - 2)) is divided by d(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435945291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -15, 3*j + k = -0*j - 41. Let f be (3\/j)\/((-9)\/180). Solve -u + f*z + 3 = 0, -4*u + 3*z = 2*z - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*j + 11 = -33, -20 = 4*m + j. Let i be (m - 1)*(1 + 365\/(-35)). Suppose 2*a + 4*r - i = 5*r, -2*a = 2*r - 66. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (98\/(-2) - 0)\/((-4)\/(-80)). Round v to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-6)\/12*16. Suppose 4*r + 2*s + 15 = 3, f*s + 16 = 0. Let d be (-1)\/3 - 20\/(-6). Sort 1, r, d.\nAnswer: r, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20448 divided by 72\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -827, -827, -829, -833, -839, -847, -857?\n\"Answer: -d**2 + 3*d - 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21821 is divided by 1358?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**6\/120 + 8*q**5\/15 + 61*q**4\/24 + 29*q**3\/3 - 154*q**2. Calculate the remainder when 278 is divided by c(-30).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 168 and 168 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 13473812?\nAnswer: 13473812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12799889 is divided by 235.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1 - (-7 - -1)) + 185 + (-85 - 112)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 2*p + 4*p)*(-6*p + 16*p + 0*p) - 114*p**2 + 139*p - 139*p.\nAnswer: -94*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3604.52445 to the nearest ten.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.05845 kilometers in millimeters?\nAnswer: 31058450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 18*w - 28. Determine k(6).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -5, -1163, 1 in ascending order.\nAnswer: -1163, -5, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 - -70. What is the remainder when 9 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-2)\/(-8)*240\/315.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(136) - (sqrt(136) + sqrt(136)*3) - sqrt(136)) + sqrt(136) + sqrt(136)))\/(sqrt(56)\/sqrt(7)*-2 + sqrt(8))*2*-6.\nAnswer: -144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (36 - 8) - -42 - 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 468.4 * -13057.\nAnswer: -6115898.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (-1 + 6 + -1 - 5). Calculate the greatest common factor of k and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (130100\/(-5))\/(2\/400). Round o to the nearest 100000.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49a (base 13) to base 2\nAnswer: 1100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 336140921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - m. Let b be a(1). Determine q, given that 0 - 4*q**2 + 6*q**2 - q**2 - b = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a - 8. Let k(r) = -24*r - 25. Let d(o) = -4*k(o) + 11*z(o). What is the derivative of d(y) wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(6\/11)\/o**(2\/7) assuming o is positive.\nAnswer: o**(20\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 28360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6494 and 82512?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 679?\nAnswer: 1\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -16. Solve 0 = c + 3*c + 4, -c + h = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 - -159. Let s = -155 + p. Is s a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/14424377?\nAnswer: 2\/14424377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186d (base 14) to base 11.\nAnswer: 3349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 + 1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1272 + -1265. Let c(s) = -8*s**3 + s**2 - s - 1. Let b(y) = y**2 + y. Let x(g) = -b(g) - c(g). Calculate the lowest common multiple of x(1) and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((-2)\/(-8) + -1 + 119\/68).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 79 = -4*n, -5*n + n - 2*v = -82. Let l = -2 + n. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48248948 - -55.\nAnswer: -48248893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 2:46 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -268 + 378. Let u(d) = d**2 + 2*d + 2. Let y be u(-2). Suppose l = y*h - 42. Does 26 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2114 - 2110. What is the greatest common divisor of 90 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/48 and -143\/45324.\nAnswer: 181296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11638 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 1:46 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 168, 155, 146, 147, 164?\n\"Answer: i**3 - 4*i**2 - 8*i + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -109505 divided by 905?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -1. Suppose 2*d - 3*s = -3, 0 = -3*d - 0*d - 3*s + p. Suppose 5*c - 2*y - 1665 = d, -5*c = -5*y - 1469 - 211. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.3. Let v = 188\/3 + -63. Which is the nearest to k? (a) 0 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - 8b0?\nAnswer: -8bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a (base 12) to base 2.\nAnswer: 1101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 298251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101dd (base 14) to base 10.\nAnswer: -38807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 171224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 3:00 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w - 7942 = 10*w. List the prime factors of w.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3322*d**2 - 1732*d**2 - 1569*d**2 - 1.\nAnswer: 21*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejejvvejvvvvejvvvee. Give prob of sequence veej.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8 = 0, 58*d + 4*h = 53*d + 186153. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/15826 and -20\/306229.\nAnswer: 118204394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6, 3\/2, -0.2, -14?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 + 2*x**2 - 33*x - 14*x + 69*x - 35*x.\nAnswer: -2*x**2 - 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (79*v - 160 + 160)*(4 - 7 - 13 + (0 + 3 - 4)*(1 - 3 + 1)) to i + a*v and give a.\nAnswer: -1185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4390*h**2*o*w**3*y - 3*h**2*o*w**2 + 7*h*o*w*y + 3*h*o*y + 20*h*w**3*y - 10*h*w**2 + h*w*y wrt h?\nAnswer: 8780*o*w**3*y - 6*o*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (-12 - 1))*(-2 + (-1)\/(-2))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 33*v**2 - 30*v - 34. Let p be f(32). Suppose 23*d - p*d = 0. Suppose 0 = -5*l - 12 - 13. Sort d, l, -20 in decreasing order.\nAnswer: d, l, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6391 - 3709. Is g a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n**4*q**2 + 7*n**4*q - 116*n**3*r - n**2*q**2*r + 23243*n**2*q**2 - n*q*r wrt n.\nAnswer: -72*n*q**2 + 168*n*q - 696*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.14 - 0.32. Let d = -150.848 - -151. Let u = w + d. Round u to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56636141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxk when three letters picked without replacement from {x: 2, k: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 412 + -3129\nAnswer: -2717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -0.098023.\nAnswer: -0.298023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/6 and -22\/56533.\nAnswer: 339198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 146 + 6*d - 146. Let i(g) = -g - 3 + 3. Give -4*i(u) - r(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 62270305 and -3?\nAnswer: 62270308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90727918.\nAnswer: 2, 71, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from {k: 1, x: 2, n: 1, a: 6, d: 2, f: 8}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21609)\/(-18) - 4\/(-8). Suppose 3*a - s = 2732. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382265348.\nAnswer: 2, 307, 311291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1075 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125 + 124.99952. What is h rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470620613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 10 = 2*t, 4*o = -2*t - 0*o - 4. Suppose 4*j + 0 = -4*z + 4, 4*j - 4 = -t*z. Suppose z = -4*q + 3 + 9. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-18) + (-140)\/(-14) and 46\/121?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*t = 95*t. Solve 0 = -5*y - 25, 17 = -3*q - t*y - y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96264)\/30942*48\/(-14)?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3509583*w**5 - 58125*w**2 - 4*w?\nAnswer: -210574980*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 84.51 (b) -4 (c) -3\/5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -5 + (1218 - -2). Let h = 15 - -206. Suppose 0 = 4*j - h - b. Round j to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6347\/8 - 791. Let x = 6707 + -681. Let l = -48301\/8 + x. What is the common denominator of r and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4 + 4*m**3 - 46*m**2 + 24*m + 72 = 0.\nAnswer: -6, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -196, -1699, -5896, -14173, -27916, -48511, -77344, -115801?\n\"Answer: -231*h**3 + 39*h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccj when three letters picked without replacement from {c: 3, j: 8}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -3\/3110 (c) -0.05 (d) -3 (e) -35 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(252) + sqrt(252)))**2 - sqrt(56)\/(-1*sqrt(800) - sqrt(800)).\nAnswer: sqrt(7)\/20 + 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -383*k**2 + 0*k + 0*k + 364*k**2. Let a(x) = -6*x**2. Calculate a(g(w)).\nAnswer: -2166*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anajnnjn. What is prob of sequence nn?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*3\/24)\/(24\/(-18))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 777 and 11688189.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.002 + -0.078. Let i = u - -0.08. Let k = 77\/585 + 1\/45. Which is the second smallest value? (a) 3\/2 (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 + 0*x**5 + 0*x**5 + (-x**3 - 4*x + 4*x)*(x - 2*x**2 - x) + 2*x**5 - 2*x**5 - 6*x**5 + 10096*x**3 - 3*x**5 + 7*x**5 - 10070*x**3.\nAnswer: x**5 + 26*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.4 + 1. Let y = k + -18.491. What is y rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/4 and -41\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + r - 8, -d - 3*r = -0*r - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -5*i + 3*v - 13, -5*i = -v + 43. Let j(b) = b**3 + 8*b**2 - b. Determine j(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/24)\/(o*o*o*o**(2\/11)))**31*(((o*o**(-2\/9))\/o)**(-5\/12))**(-40) assuming o is positive.\nAnswer: o**(-246229\/2376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -766, -1675, -2948, -4585?\nAnswer: -6586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 + 0*l**2 - 2*l**2)*(-6*l**2 + 2*l**2 + 3*l**2) + (-4*l + 6*l + 76*l**3 - 62*l**3)*(-15*l - 12 + 12).\nAnswer: -212*l**4 - 30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2*1)\/((-22)\/(-825)*-5). Let a = 118 - 38. Suppose n*s - 10*s - a = 0. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 + 16*p + 2. Let i be g(8). Solve -21 = -4*q - 3*z, i*q - 3*z = z - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -3, -11\/6, -8, -7?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47 - 18*n**2 - 47 + (-1 + n + 1)*(3*n - 4*n + 2*n) - n - 4*n**2 + n + 40*n**2.\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429701.\nAnswer: 429701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u**2 - 2*u)*(2*u - 5*u + 2*u) + (-5*u - 1 + 1)*(-3*u**2 + 0*u**2 + u**2) + 0*u**3 + 3*u**3 - 4*u**3.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40024, 44291, 48558, 52825, 57092, 61359?\nAnswer: 65626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 358947?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3961, -0.4, -2\/7, 4, 22, 1\/7?\nAnswer: -3961","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r*w**3 - 4*r*w**2 + 9*r*w + r + 154*w**3 wrt w?\nAnswer: 12*r + 924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 1 - 2)*(-2*z + 2*z - 2*z) + (2 - 6 + 0)*(7*z - 7*z + 10*z))*(2 + 0 - 1)*(4 - 3 - 2) in the form b + s*z and give s.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 4 + -3 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8310884.6999986 - 8310886. Let x = -13.3 + 12. Let q = x - u. What is q rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 10*q - 12. Let m be s(-8). Calculate the highest common factor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((6 - 0) + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*n**2 + 96 - 1109*n**3 + 1111*n**3 - 95.\nAnswer: 2*n**3 + 88*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -566726.14000051 - -566726.2. Let t = -0.06 + f. Round t to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 8 + -7 - 7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.01693ug to milligrams.\nAnswer: 0.02301693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/54 - 2\/(-9). Suppose 36 = 4*q - p*q. Suppose -3*t = -5*l + 290, 0 = -4*l + 4*t - q*t + 195. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 11:33 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2826406 and 220.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 6*i - 12, 8*p + 10 - 67 = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.278624mm to kilometers.\nAnswer: 0.000000278624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 707\/44 - 359\/22. Let u = -2.5 - -3. Let b = 9 + -8.8. What is the fourth smallest value in b, w, u, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**(-4\/7)*x)*x*x*x\/(x**(-1)\/x)*x**(-2)*x**4 assuming x is positive.\nAnswer: x**(46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1695, -3389, -5085, -6783?\n\"Answer: -o**2 - 1691*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 540 = -495. Is x at least 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17444 - -75?\nAnswer: 17541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-14))\/((-93)\/(-744)). Is o greater than or equal to 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2)\/((-7)\/(-56)). Solve -4*o = -0*o - i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 = k - 1099. Is 98 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-22)\/77)\/((-480)\/(-720)))\/(6\/(-406)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 90 or -1952?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -35. Which is the nearest to -3? (a) l (b) -0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/11 + 26*b**2\/11 + 212*b\/11 + 304\/11 = 0. Calculate b.\nAnswer: -4, -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -16167 (base 10) to base 15\nAnswer: -4bcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120249213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**3 - 1208*s**2 + 141083 with respect to s.\nAnswer: 3*s**2 - 2416*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -79 and -590107.\nAnswer: 46618453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 8 = -12*l. Is (-2759)\/(-11) - 13\/(572\/l) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 477535, 955063, 1432591, 1910119, 2387647, 2865175?\nAnswer: 3342703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 13) in base 8?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -11 (b) 3\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 713247231 to the power of 1\/3, to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10176968245 to 6 decimal places.\nAnswer: -0.10177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-5))\/(4\/1240). Is -614\/5 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 11*w - 13. Let l(n) = -2*n**3 - 16*n**2 + 18*n - 9. Let t be l(-9). What is p(t)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*r + 5, 3*h + 4 + 1 = 4*r. Suppose -66 = -5*c - h. Calculate the lowest common multiple of 3 and c.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -24, -35?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/96)\/((-51)\/48).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2082.\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p**2 + 13*p + 57. Let h(i) = 2*i**2 - 3*i - 14. What is 26*h(y) + 6*k(y)?\nAnswer: -2*y**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -243*p + 45447. What is l(187)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.08 and 0.39925.\nAnswer: 0.31925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5*r + 8 = 0, 2*o = -5*r + 3*r - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 565895 divided by 234.\nAnswer: 565895\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7490.5490173 - 0.03.\nAnswer: 7490.5190173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*m - 20*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -31 + 17 - 19 + 104*d. Is p(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6*0 + 286. Does 6 divide (3\/(-6))\/(m\/72 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117405 = 116*y - 107*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**6\/108 + 2*j**5\/45 + j**4\/27 + 9*j**2. Solve a(d) = 0.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4647789 is divided by 258209?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 206*h - 861. Is j(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azkukkaakzkkbuuz. What is prob of sequence baau?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*d**2 + 88*d**2 + 43*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -102\/140363185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 39 = 24, 9*s = -l + 623039. What is s rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253737*m - 2380 = -253805*m for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 299 and 8027.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8 = 3*j - 41, -5*j = 25. Let c be -4*(-45)\/(-6)*2\/y. Solve 5*o = b - 1 - 9, c*o + 30 = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -3. Calculate the lowest common multiple of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - -19. Calculate the greatest common divisor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 658037.3 + -3936?\nAnswer: 654101.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 2. Let k(m) = m**2 + 9*m - 12. Let a be k(-10). Let n = a - -6. What is the tens digit of j(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/103506 and 95\/7486934.\nAnswer: 22460802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6*h + 3462 = 0, -2*h = h - 9. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.40045 times 4124\nAnswer: -1651.4558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 181\/240 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 481\/((-12)\/1440*-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15635, -4576, 25441, 83896, 180269, 324040?\nAnswer: 524689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11970271?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*a + 2*a**2 - 182*a - 6105 - 214 + 155*a to the form m + g*a**2 + h*a and give m.\nAnswer: -6319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-44)\/352)\/(1\/49) and 149\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(32)\/sqrt(8)) + 4 + sqrt(13)*-3.\nAnswer: -2*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11054*i - 33157*i - 360 + 11051*i - 36 + 11054*i.\nAnswer: 2*i - 396","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g + 128 = -12*g. Sort -2, 5, 0, g in descending order.\nAnswer: 5, 0, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -5*j - 4*i, -27*j + 23*j - i + 24 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 0)**2*2.\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxaud. What is prob of sequence ux?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 781 and 923.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2594306 divided by -4246.\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**5 - 31*d**4 + 10*d**3 + 2*d**2 - 180*d - 3.\nAnswer: 120*d**2 - 744*d + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - 1*(-1 - -1). Let g be (14 - 13)\/(2\/22). Solve b*i + g = -1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 127\/5 - (-4)\/(-10). Let z be (-115)\/i - (-2)\/(-5). Let x(f) = -3*f - 6. Let p(k) = k + 1 - 3*k - 2*k - 8. Calculate z*x(h) + 4*p(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546509031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503*k**2 - 6 - 2*k - k - 10*k + k.\nAnswer: -503*k**2 - 12*k - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 3, o: 1, d: 1, l: 1}. What is prob of picking 1 l and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/3)*d)**(-9\/7)*(d**(-4\/3)*d)\/(d\/(d\/d**6)*d))\/((d**(-3))**28)**(-18\/7) assuming d is positive.\nAnswer: d**(-4726\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*n + n = 145, -z + n = -125. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 38 - (-593 - -588)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, r: 7, v: 9}. What is prob of picking 2 r?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 + 13926*r**3 - 69555*r**2.\nAnswer: -3*r**2*(r - 4637)*(r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - y**2 + 1. Let k(u) = 6*u**2 - 1 + 14*u**3 - 19*u**3 - 4 - 2*u. Let d(n) = k(n) + 6*z(n). Let a be (-27)\/(-12) - (-2)\/(-8). Give d(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-260))\/((-26)\/130).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (190\/(-40) - (-3)\/4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2511*v + 22 + 118 - 747*v wrt v?\nAnswer: 1764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (4 - -3 - (0 - -1)) + (-70 - -144)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 5, -1, -11, -25?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366963113.\nAnswer: 11, 1069, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -2*z - 2*z. Let n = -24 + z. Let x = -4 - n. Let i(d) = -d**3 - 7*d**2 - d + 2. What is i(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.092 - -0.052. What is the second biggest value in i, -5, -3\/2, 0.01?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -11300 in ascending order.\nAnswer: -11300, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -5.977. Let m = -0.123 + u. Let g = 160\/9 + -18. What is the smallest value in g, -2\/13, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 + 23*z + 21 + 25 - 2*z**2 - z to the form d*z + w + y*z**2 and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 13*w - 11. Calculate the remainder when 71 is divided by p(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74843\/10 - 7484. Let t(s) be the first derivative of y*s**2 - 1\/5*s**3 + 1\/20*s**4 - 21 - 1\/5*s. Let t(q) = 0. What is q?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183694879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 34*q = -3*c - 38*q + 8, 39 + 91 = -45*c - q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(3*f**2 + 30*f**3 - 39*f**3 - f**2).\nAnswer: 18*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(120)\/(-3*sqrt(10)) + 4.\nAnswer: -2*sqrt(3)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -10. Let v(s) = -u + s + 5 + 0. What is v(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*m + 727 = 1981 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/54*9*-5*(-95)\/10\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -535700 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3764 (base 11) in base 8?\nAnswer: 11456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8021.000047725 + -8021. Round f to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6 - 3208\/16842?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6754713 divided by -75\nAnswer: 2251571\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w + 184 = 111 - 527 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761420?\nAnswer: 2, 5, 11, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z + 7. Suppose -3 = 3*o + 3. Let u be (-1)\/o*(-11 + 1). What is the smallest common multiple of 12 and d(u)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*b**4*s**3 + 625*b**3*s + 4329*b**2*s**3 - 2*b*s**3 wrt b.\nAnswer: -336*b*s**3 + 3750*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from {k: 3, x: 1, q: 1, l: 1, u: 2, n: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37757*k**5 + 18*k**4*y**2 - 2792*k*y + 7*y**2 wrt k?\nAnswer: 755140*k**3 + 216*k**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 42, 5, -4, -2 in increasing order.\nAnswer: -4, -2, 5, 6, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -1.2\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 403*q + 2121. Give s(-9).\nAnswer: -1506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 787.8921907 to 1 dp.\nAnswer: 787.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 54882030 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(500)*-1 - sqrt(500)) - (sqrt(500) + sqrt(500)*2)*5)**2 - (-3 + 1 + (-1*sqrt(500) - sqrt(500)) + 3)**2.\nAnswer: -1660*sqrt(5) + 142524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106894 is divided by 936.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1635?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3385627 to the nearest ten thousand.\nAnswer: 3390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1650)\/(-105))\/11 - (-8)\/(-28). Let n(s) be the first derivative of 26\/21*s**3 + a*s + 2\/35*s**5 + 12\/7*s**2 + 3\/7*s**4 + 21. What is k in n(k) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 693 = 2*g - 849, -3*g + 5*t + 2313 = 0. Let o = g + 317. Is 17 a factor of o\/14 - (-18)\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 17. Let c = -12 + k. Which is greater: c or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 515. Let v = h - -486. What is the greatest common divisor of v and 550?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 88 = 3*h, 13*h - 16*h + 113 = q. Calculate the remainder when 500 is divided by h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 8:52 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 0.1 (b) 4\/7 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**6\/120 - 313*n**5\/20 - 863*n**4\/8 - 503*n**2. Find the second derivative of i(h) wrt h.\nAnswer: -6*h - 1878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 + 0 - 6825*m**2.\nAnswer: -6825*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 550929?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17738701?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -10. Let o = -3 + 5. Which is bigger: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -3383.2010188\nAnswer: 3383.4010188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/26)\/((-2)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 0.2. Let j be (2\/(-12))\/((-1)\/(-9)). What is the nearest to 0 in 5, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6617*o**2 + 4832*o + 17. Let s(n) = -1654*n**2 - 1207*n - 4. Let u(y) = -17*s(y) - 4*t(y). Find the second derivative of u(h) wrt h.\nAnswer: 3300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-6) - 16\/(-24). Which is the closest to z? (a) -1\/4 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -270067578*i + 16562190 with respect to i.\nAnswer: -270067578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19216853 and 981883?\nAnswer: 134517971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 23 + (-1 - -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(121)*-1 + sqrt(121))\/((sqrt(110)*2 + sqrt(110) - sqrt(110))\/sqrt(10)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5 = 2*m. Let a be -1 - (m - 2)*1. Suppose 0 = -a*k + k. Solve k*r + 6 = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1952 - 370 = -9*u. Suppose 2*a - u = -3*f, 2*f + 330 = 6*f - 2*a. Suppose 551 = 5*p - f. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -9*g**3 - 4*g**2 + 2. Determine i(2).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(288)*2 + -2 + (1 + sqrt(288) - sqrt(288))**2.\nAnswer: -1 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(77)*2 - (-1*-1*sqrt(77) - sqrt(77)))\/(((2*sqrt(132) + sqrt(132) - sqrt(132))*-2)\/sqrt(12))*3.\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -67119337 < -67119337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2\/7, 1\/6, 22, 1\/357, -1\/12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -q - 3, 0*q - q + 21 = 4*l. Let f(b) = 239*b + 10. Let o be f(l). Suppose 0 = -7*k - 0*k - o. What is k rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183315?\nAnswer: 3, 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52898.\nAnswer: 2, 26449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4578619597 less than 0.1439?\nAnswer: -4578619596.8561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f. Let b(s) be the second derivative of 5*s**3\/2 + 6*s**2 - 73*s - 1. Let v(i) = i + 1. Let q(l) = -3*b(l) + 36*v(l). Calculate -6*h(d) - q(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -289960 + 546960. Round x to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -359605\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004526834 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 6:56 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 2*a**2 + 5*a - 6. Let r be u(3). Solve -z - 3*z + 4 = r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k**2 + 11*k + 1. Let q(j) = 4*j**2 - 5*j - 1. Let i(d) = -3*h(d) - 5*q(d). Determine i(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6*y)\/(y\/y**5))**(2\/19)*((y*((y*((y*y**2*y)\/y)\/y*y)\/y)\/y)\/((((y**(1\/3)\/y)\/y)\/y)\/y))\/(y**(-1)*(y**(3\/2)*y)\/y) assuming y is positive.\nAnswer: y**(835\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 + 19 = -4*q. Solve 0 = q*r - 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1645*s - 2136. Is p(25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21340592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1694.646954 microseconds to weeks.\nAnswer: 0.000000002801995625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4237 is divided by 106.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k = -24*k - 24. Let r = 21 + k. What is the remainder when 24 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - u - 66 = 2*x, 0 = 2*x + 5*u - 66. Suppose 2*a - x = -2*a - 5*p, -4*p = -20. Solve 0 = -a*r - 0*r + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3628 - 3126. What are the prime factors of c?\nAnswer: 2, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/3 - -2) + -5. Let x be 0 + (-1 - (c - -2)). Suppose -x*d + 13 = 5*n, 2*d + 0 = -2*n + 14. Calculate the greatest common divisor of d and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -23 (c) 2\/91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4284 by -3.\nAnswer: -1428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-30)*-1*-5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -351 - -562. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49931889 and 42.\nAnswer: 99863778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**7\/1960 - w**6\/840 + 2*w**3 + 3. Let y(t) be the third derivative of a(t). Factor y(i).\nAnswer: 3*i**2*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 2*h - 1. Let q be d(1). Suppose 5*k + 3*b = -17, k + 4*b + 9 = q*b. Let u(r) = -2*r**2 - 2*r - 1. What is u(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 464 divide 28720409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1386*n**4 + 2*n**3 - 2905*n + 79839871 wrt n?\nAnswer: 5544*n**3 + 6*n**2 - 2905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6397, -6788, -7179, -7570, -7961?\n\"Answer: -391*s - 6006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/6 - 2*z**3\/3 + 9*z. What is the second derivative of n(f) wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i - 62 + 67 = -7*u - 18*i - 95, -4*u - 2*i = 72 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -0.113141.\nAnswer: -0.213141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -331 times 0.5739\nAnswer: -189.9609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/3 - 2218*m**4\/3 + 1232095*m**3\/3 - 2453110*m**2\/3 - 1232096*m\/3 + 2455328\/3 = 0. What is m?\nAnswer: -1, 1, 2, 1108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 1 - 116) + (-83 - (-43 - 37))\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7332 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: Expand (-a - a - a)*(-2 + 2 + 2)*(-7 - 8 + 5) + 5*a - 2*a - 2*a.\nAnswer: 61*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1511a + -1b70?\nAnswer: -16c8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/16613 - -16605\/66452. Let x = -171.77 + 163.9. Let p = x - 0.13. Which is the third biggest value? (a) p (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -314 + 629\/2. Let f(v) be the first derivative of v + 18 - x*v**2. Give f(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 5142?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010100101000010 (base 2) to base 3.\nAnswer: 2012102211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*l - 4. Suppose -l*j + 5*c = -14, 4*j - 2 = j + 2*c. Let m(u) = -u**2 - u + 2. Let w be m(j). Solve g = -w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -4 (c) -2\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1234 - 274 = -15*c. Let d be (-4)\/(-4) - (-5 + c\/(-12)). Put 2\/299, 5, d in descending order.\nAnswer: 5, d, 2\/299","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 50.8?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 23. Let h be n(5). Let v(w) be the first derivative of -2*w**2 + h*w + 1 - 1\/3*w**3. Calculate v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9846 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 11*j**2 + 8*j + 19. Let b be y(10). Let w(t) = -6*t**2 + 1. Let v(h) = h**2 - 1. Let p(q) = 2*v(q) + w(q). Calculate p(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 359.8 + -361.4. Sort 12, 1\/4, i in increasing order.\nAnswer: i, 1\/4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 230 + -227. Suppose -5*a + 2*f + 221 + 60 = 0, 5*a = -y*f + 291. Calculate the remainder when a is divided by 39.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-2 + 1\/6 - 4136\/(-3102)). Determine z so that 2\/5*z**4 + 16\/5*z**3 - 28\/5*z + v + 2*z**2 = 0.\nAnswer: -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -614, -8.04, 2, 2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 29*b - 1699. Give s(58).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 38*m = 11*m + 78. Let h = 0 + -1. Let f = h - -1. Solve -a + 1 = 0, f = -3*s - s - m*a - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*t**2 - 58*t - 7*t**3 + 33*t**2 + 5*t**3 in the form d*t**3 + h + n*t**2 + r*t and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 8*m - 17. Let h be p(-5). Calculate the highest common factor of h and 384.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.103558314693 + 0.1.\nAnswer: 0.203558314693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 2*g - 6, 0 = -7*w + 10*w + g - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2. Let t = -2994 + 2993. What is the closest to r in -1\/5, t, -9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from qbqqqyyqb?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**3 - 4*n**2 - 134*n + 315. What is v(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6*(-12)\/2. Let o be ((0 - 2) + 0)\/1. Let t = x + o. Solve t = 2*n - 4*r - 2, 4 + 3 = -5*n - 2*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3148076053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18559861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(432) + 2)*-1 - ((sqrt(432) - -3*sqrt(432)*1) + 2 + sqrt(432)*1))**2.\nAnswer: 288*sqrt(3) + 15556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 163*o**2. Let a(n) = -2 + 2 - 78*n + 0 + 75*n. What is m(a(b))?\nAnswer: 1467*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 413243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 344.\nAnswer: -5\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 12:18 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015878 to five dps.\nAnswer: -0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 5*u**2 - 2. Let o = 43 + 295. Suppose -w = 3*w + 3*f + o, -3*w + f = 260. Let z be w\/(-18) + 6\/27. Give d(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/sqrt(3)*2 - (sqrt(7)*-1 + 2)) + -3)**2 - ((sqrt(84) + sqrt(84)*-1 + sqrt(84) - sqrt(21))\/(sqrt(75)*3))**2.\nAnswer: -30*sqrt(7) + 19793\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, v: 1, e: 3, n: 5}. Give prob of sequence nnn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2534 divided by -38?\nAnswer: -1267\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 22*h**2 + 10*h**2 + 9*h**2 + 5*h**2 to z*h**2 + q*h + y and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((-4*sqrt(126))\/sqrt(7) - (sqrt(2)*1 + 2)*-2) + 2)**2.\nAnswer: -60*sqrt(2) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 866957 and 20202?\nAnswer: 192464454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4 - 24*w**3 - 86*w**2 - 120*w - 56 = 0 for w.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from bofffpfppfbfffffbfff.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 54*w**4 + 496*w**2 - 496*w**2 + (3*w + 4*w - 6*w)*(2*w**3 + 2*w**3 - 2*w**3) - w**3 + w**3 - 2*w**4.\nAnswer: 54*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 5*l**2 - 9*l + 2. Let x be 140\/(-24) + (-4)\/24. Suppose f - 2*f = -10. Calculate the least common multiple of a(x) and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 0*s**5 - 14\/3*s**3 + 2\/15*s**6 + 0*s**2 + 0 + 0*s**4 + 9*s. Find the second derivative of m(i) wrt i.\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 0*n + 20 + 1\/2*n**2. Let d(f) = 128*f**2. Determine b(d(c)).\nAnswer: 128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*z + 7 - 99. Which is the third biggest value? (a) z (b) 3\/10 (c) -1\/6 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z - 73 = -88 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -4*g + 5*g + 7, 2*g = 4*u + 18 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 262, 1954, 4774, 8722, 13798, 20002?\n\"Answer: 564*n**2 - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -42*t - 77. Let s be v(-9). Factor 89 + 0*y**2 - y**2 - 149 - s - 38*y.\nAnswer: -(y + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 - w**5 - 2*w**5 - 2*w**5 + 5*w**5 - 4*w**5 + (0*w**4 - w**4 + 0*w**4)*(2*w + 0 + 0) + 3*w**5 - 2*w**5 - 3*w**5.\nAnswer: -9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*h - 94*h = -875. Let n be (-14)\/h - (-4115)\/125. What is the highest common divisor of 44 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + w**2 - w**2)*(1 + 4 - 1)*(2*w - 1 + 1).\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156191?\nAnswer: 7, 53, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p. Let z(h) = -h**2 - 3. Let i(x) = -3*x**2 + 69*x - 6. Let c(w) = -2*i(w) + 4*z(w). Give c(d(v)).\nAnswer: 8*v**2 - 276*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 - 12*g**2 + 18*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 - 47. Let f be ((-104)\/6)\/((-7)\/b). Suppose 2*s - 68 + f = 0. Solve -4*a = -0*a + s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.8 and -1877738.931.\nAnswer: -1877740.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771552950 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 71079343, 71079340, 71079335, 71079328, 71079319, 71079308, 71079295?\n\"Answer: -f**2 + 71079344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 - 9*r**3 + 0*r**3 + (-3*r + 7*r + 0*r)*(0*r + r**2 + 0*r) - 2*r**3 + 4*r**3 + 0*r**3 + (-1 - 2*r + 1)*(-4*r + 4*r - 2*r**2).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/176 and -71\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293190425 divided by 617243.\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 48 = -n. Suppose -2*i + 0*r + 2*r = -4, -5*r = -i - 6. Suppose i*t + 5*p = 276, 0 = -p + 2 + 2. What is the highest common factor of n and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -41\/9 (c) -203\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s + 19. Let b be p(-7). Find the common denominator of -77\/12 and b + 107*(-3)\/(-234)*3.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -26*s**3 - 2*s**2 - 2*s - 1. Give m(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24979300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, -2, -1\/4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orss when four letters picked without replacement from sdsdrsos?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 - 149*n - 2039. Determine v(-25).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43665765 and 1365?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - -36 - (-4 - -18 - (-6 - -13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(7\/84*-8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -120479, 1, -14 in decreasing order.\nAnswer: 1, -14, -120479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2424064 rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*q + 78*q + 48*g - 49*g + 16 = 0, -2*q + q - g - 4 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 8 + 17 = -3*u, 44 = -7*u - 4*s - 35 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 24. Let l be u(14). Let c be (l\/15)\/((14\/3)\/(-7)). What is the greatest common divisor of c and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**12\/h*h)**(-2\/11) assuming h is positive.\nAnswer: h**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-14) - (-4 - -5). Let x = -0.009 - 0.491. Put c, -0.01, x in increasing order.\nAnswer: x, c, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1558623?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 201679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 156*l**4 - 4*l**3 + 2*l**2 - 6*l + 140056 wrt l.\nAnswer: 624*l**3 - 12*l**2 + 4*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4832 - -929. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*r + 5690, -2*g + r + 3174 = -2541. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**3 + 17378*s**2 + 33859492*s + 1 wrt s?\nAnswer: -12*s + 34756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 594027.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 23 = 5*y, -2*y = -2*p - 13 + 5 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 42 (b) 0.298 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 254585 and 207120?\nAnswer: 12220080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (8 - 3) - 2. Is -9 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i**2\/9 + 1534*i\/3 - 9244\/9 = 0. Calculate i.\nAnswer: -2311\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 348223007?\nAnswer: 2089338042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2456 a factor of 51196433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277367602, -277367603, -277367604?\nAnswer: -277367605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0648 and 201.28.\nAnswer: 13.042944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -4. Let o = -16 - j. Suppose 4*z - 17 + 4 = n, -5*n + 10 = -5*z. What is the least common multiple of o and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 116, 1, -5, 1517\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(80) + 5.\nAnswer: 5 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -263, -249, -235, -221, -207?\n\"Answer: 14*d - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*5\/(-175)*-7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2375 or -16623\/7?\nAnswer: -2375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(513) - sqrt(513)*-1*3) + sqrt(513))\/(sqrt(90)\/sqrt(90)))\/(-1*sqrt(9)\/(sqrt(18)\/(sqrt(18)\/sqrt(3)))).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2398 is divided by 96?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 108539 from -0.4.\nAnswer: -108539.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 21207*i - 10607*i - 10600*i - 182*i**2.\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145616, 145603, 145582, 145553, 145516?\nAnswer: 145471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r + 23 = -27 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 0 (c) 0.18 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -77 (base 9) to base 10\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6129.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 688259.\nAnswer: 4\/688259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 502, -13, 3 in ascending order.\nAnswer: -13, 3, 502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 6:07 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 15 = -2*m - m, 2 = 2*m - 2*c. Suppose 4*y = m*n + 32, 2*y = 4*n - n + 16. Solve -6*l + 9*l + 12 = 0, y = 5*r - 2*l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 8 = 4*d, -5*k = -0*d + 5*d + 25 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d + d + 2*d)*(-15 + 7 - 13) to j*d + s and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 638256 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 8:41 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -2*sqrt(200) + 2)*2 + (sqrt(200) + -2*sqrt(200) + -3 + sqrt(200) - (-4*sqrt(200) + sqrt(200))*-4))**2.\nAnswer: -960*sqrt(2) + 51209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*d**5\/5 + 71*d**4\/5 - 104*d**3\/5 + 66*d**2\/5 - 14*d\/5 - 1\/5.\nAnswer: -(d - 1)**4*(18*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115047 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 123*u + 114*u - 22*u - 31*u + 198 + 88*u wrt u.\nAnswer: 272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 105, 129, 163, 207?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 5, -3\/4, 0.25, -187?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -4.598 and -13151 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43629870 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14 - 288\/18)*-33975.\nAnswer: 2, 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10683 not equal to 10698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**7)\/l)\/(l\/(l*l**(-6)*l*l)) assuming l is positive.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9119836 is divided by 130283?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 3) in base 6?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2. Let a(r) = 13*r**2 + 7*r. Let o(d) = 4*d + 2*d + 6*d**2 - 3*d. Suppose 0 = -10*k + 3*k + 21. Let q(m) = k*a(m) - 7*o(m). What is v(q(x))?\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 518*v - 7. Let u be c(2). Let j be (260\/3)\/(14\/u). Suppose 5*b + 2*b = -j. Round b to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*t + 143 + 142 = 327*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1267, -222, 823?\nAnswer: 1868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u + 3. Let c(p) = 120*p - 52. Let i(a) = -6*c(a) - 104*y(a). Let w(x) = 4*x - 2*x - x. Give i(w(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 9:27 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 14 - (-10 + 2 + 13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*y = -63*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18204 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-153)\/(-102)*182\/(-21).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.006 millennia to centuries.\nAnswer: 270.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a + 7*a + a - 10*a - 4*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 65734, 262884, 591468, 1051486, 1642938?\n\"Answer: 65717*v**2 - v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c**3 - c**2 - 7*c - 7. Let q(k) = -15*k**3 - 2*k**2 - 15*k - 15. Let d = 15 + -21. Let l(p) = d*q(p) + 13*w(p). Give l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + (-13)\/2)*(-2106)\/(-27)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -698 divided by 2?\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480740 is divided by 1166.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) -22 (c) 16\/23 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 8 = 3*d, d + 9 = 4*z + z. Let x(a) = -108783*a - 6. Let k be x(d). Let m = -35126 + k. What is m rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1037*y + 1023*y = -196 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*q + 66 = -289 - 1270 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (18 - 21) + 18.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 124*z**3 - 136*z**2 - 11*z + 22. Let d(a) = 41*a**3 - 45*a**2 - 4*a + 8. Let k(j) = 11*d(j) - 4*u(j). What is the third derivative of k(y) wrt y?\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 396\/(-96) - 18\/16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 56849665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2 - 0. Let k(f) = 3*f**2 - 3*f**3 - 4*f + b*f + 4 + 2*f**3 + 0*f. Let n(a) = -a**3 + 6*a**2 + 15*a - 87. Let l be n(6). Give k(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2. Let a(s) = 1. Let t(c) = 3*a(c) + m(c). Let z = -4 - -10. Let y be 4\/(-3) + 2\/z. Let d(g) = -g. What is y*d(u) + t(u)?\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*sqrt(75))**2 + 4 - (-1 + (sqrt(192) - (sqrt(192) + sqrt(192)*-1 + sqrt(192) + 4 - sqrt(192))**2))) + -4.\nAnswer: -8*sqrt(3) + 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-9))**24)**(-43) assuming z is positive.\nAnswer: z**9288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9*4\/12*2039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from mmkmmkwmwwmmimkmmil.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15145 divided by 13.\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007504 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4450065 and 4924?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*r + 4, 10 = -5*h + 4*h + 3*r. Suppose 11*g + 46 = h. Sort 0, g, -17, 5 in descending order.\nAnswer: 5, 0, g, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*r - 357*r + 86*r + 87*r + 89*r + 507*r**2 - 473*r**2.\nAnswer: 34*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14108 - 14022. What is the biggest value in b, 3\/7, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 3. Suppose -6*r = -7*r - x*b - 19, 12 = -4*r - 4*b. Solve -5*c + 4*o = -r, 3*c = 2*c + o + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j. Let g(m) = -114492*m - 4. Give c(g(i)).\nAnswer: 343476*i + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*d - 36 = 2*d, 0 = 5*x + d - 33. Is x != 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: d (base 14) to base 4\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6024*n = -6036*n + 888. Calculate the remainder when 739 is divided by n.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30453 and 534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1)\/(25\/125). Solve -v*w + 4*x + 10 = 0, -16*w + 3*x = -19*w - 21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44 - 102?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11882437 - 6462437. What is h rounded to the nearest 100000?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 0.231\nAnswer: 0.01386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*1\/(-6)*1*(-5252)\/(-3333).\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**0)**40)**(2\/55)\/(i\/(i**(-2)\/i)*i*i\/(i**(-3)*i))**2 assuming i is positive.\nAnswer: i**(-160\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/1036 and -47\/156.\nAnswer: 40404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from {i: 1, t: 1, q: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -243\nAnswer: -8\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -1) + 4 - 368\/182. Put -0.1, t, -2 in descending order.\nAnswer: t, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*f = 2, -7*w + 6*w + 2*f = -3. Put 4\/7, w, -3 in ascending order.\nAnswer: w, -3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, h: 6, a: 2, r: 5, c: 1, s: 2}. Give prob of picking 1 s, 1 a, and 1 r.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r - 21. Let t be u(-6). Let k be (13 - (-5)\/(-1)) + t. Calculate the highest common factor of k and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003517197 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*(-16)\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 44481.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15b2 (base 12) to base 2.\nAnswer: -101000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-203)\/29*(-5)\/15. Let d(q) be the third derivative of -5\/8*q**4 + 0 + 0*q + k*q**3 + 2*q**2. What is the derivative of d(l) wrt l?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -48. Let a = 56 + d. Suppose -8 = q - a. What is the remainder when 25 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**36\/((m*m\/(m\/m**(-1)*m))\/(m\/(m\/m**(-3)))) assuming m is positive.\nAnswer: m**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3548196 and 138379644?\nAnswer: 138379644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7801082363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 s when three letters picked without replacement from xsssssssxs.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -1339, -3, -4 in descending order.\nAnswer: 38, -3, -4, -1339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130469754 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6176 + 1?\nAnswer: 6177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1084713, -1084714, -1084715, -1084716, -1084717, -1084718?\n\"Answer: -f - 1084712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0 = -5*t + 15, 3*t = -2*b + 22. Suppose t*h - 612 = -8*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 2 + (3 - 1 - 4)*(3 - 3 - 2))*(-8*b + 12*b + 6*b).\nAnswer: 80*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 786408 and 1310680?\nAnswer: 3932040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 6.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 1, -2.\nAnswer: -52, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 4*a - 3, 0 = -2*f - 4*a - 3 + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -758 to the nearest 10.\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 488 + -239. Let c = f - 132. Suppose -b = 3*d - c, 2*d = -d - 5*b + 129. Calculate the greatest common factor of d and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1 - 3.1. Let n = 0.2 + -0.7. Which is the nearest to i? (a) n (b) 3\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a + 4 - 22*a**2 + 2*a**2 + 7*a**2 + 11*a**2. Let c(v) = -v - 9. Let s be c(-7). Let p be -1*(8 + s + -3). Calculate t(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95.412 + 90.412. Let f = 0.4 + -2.4. Which is the smallest value? (a) i (b) 14 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 35*g**2 + 18180*g - 18218. Calculate o(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p*p**4))))**(-28) assuming p is positive.\nAnswer: p**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 543799 to the power of 1\/2, to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1171076 and -19\/20?\nAnswer: 5855380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -78 - 214. Let z = q - -76. Find the third derivative of -26*n**2 + n**5 - 6*n**2 - z*n**5 + 8*n**5 wrt n.\nAnswer: 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -464854326*f**2. Let g(j) = j**2. Give g(r(h)).\nAnswer: 216089544400914276*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/42)\/(12\/(-21)). Which is the nearest to -1? (a) h (b) 1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -33 + (25 + 2 - (-673 - -693)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51849488 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1760038 and 15840342.\nAnswer: 15840342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q + 9*q**2 - 1 + 8*q**2 + 2. Let w be y(1). What is the third derivative of v - v - w*v**2 + 3*v**5 + 13*v**2 wrt v?\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 - 10 - 112 + 244*r + 10.\nAnswer: 244*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7907 * -0.3\nAnswer: -2372.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 337525, 599, 0 in ascending order.\nAnswer: 0, 599, 337525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 184*d**2*h*u + 2*d**2*h - d**2*u + 2*d*u**2 - 8*h*u**2 + 1010*u**2 wrt h?\nAnswer: 184*d**2*u + 2*d**2 - 8*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82657 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + -3 - -13)\/(4\/(5 - 1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 747974681 to the power of 1\/2, to the nearest integer?\nAnswer: 27349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 23*1\/(-1 + 2). Let f = -31 + 18. Let u = m + f. Calculate the highest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkgzkzzgiz. Give prob of sequence gzkg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 (base 11) in base 14?\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -4. Let s(k) = k**3 - 12*k**2 + 12*k - 15. Give s(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 228 + -93. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r**3\/2 - 467*r**2 + 8126*r + 364140 = 0. What is r?\nAnswer: -34, 630\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 11:40 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 897 + -880. What is the nearest to m in -2, -9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36323 - 178624.\nAnswer: -214947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -29) + -9 - (-4 - 213\/54)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 31 = -4*v, 2*v + 3*v = -3*w - 11. Let n = w - 2. Let b(k) = 5*k**2 + n - 4*k + 3*k + 0*k. Give b(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 t when four letters picked without replacement from zzaxzaaataaataz?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 364367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11542, 46241, 104064, 185005, 289058, 416217, 566476, 739829?\nAnswer: 936270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(612)*2 - sqrt(612) - (3*sqrt(612) + 2))**2.\nAnswer: -96*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 491*j + 1494*j + 4 - 4 as y*j + p and give y.\nAnswer: 1985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -727461, -727464, -727469, -727476, -727485, -727496?\n\"Answer: -z**2 - 727460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26118 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 25 = -0. Suppose -3*l - 17 = t*y - 3, -5*y - 22 = -l. Let d(s) = -3*s + 23. Let n be d(7). Solve -n*f = -4*f + l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 976377*j**3*l**3 - 10*j**2*l**3 + 1218*l**3 + l**2 wrt j.\nAnswer: 5858262*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 345*c + 151. What is the units digit of j(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 9. Calculate the common denominator of -6 - -6 - (-79)\/a and 50.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -152.89 - -173.98. Round n to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, 26, 40?\n\"Answer: 14*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**5\/30 + 7*h**4\/24 - 5*h**3\/3 - 13*h**2. List the prime factors of k(-7).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102458 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7597160*o**2 - 151180867*o?\nAnswer: -15194320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12474455, 12474445, 12474435?\n\"Answer: -10*m + 12474465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/59)\/(n\/(n\/n**(-1))*n**(-2))*((n**2\/n)\/(n\/n**(-4)))\/(n**(-1)*n*n**(1\/3)) assuming n is positive.\nAnswer: n**(-233\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1346, 1352, 1360, 1370, 1382, 1396?\n\"Answer: z**2 + 3*z + 1342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5455 - 3773. Is f a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z*z**(-5\/4)*z*z**(-14) assuming z is positive.\nAnswer: z**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11\/(220\/(-24)))\/(-3). Let k = 0.37 - 0.07. Put k, -1\/4, q in increasing order.\nAnswer: -1\/4, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-339 - 257*p**2 + 339)*(p + 0*p**2 + 4*p**2 - 2*p).\nAnswer: -1028*p**4 + 257*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -752, -826, -1022, -1400, -2020, -2942, -4226, -5932?\n\"Answer: -10*l**3 - l**2 - l - 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -289 - -111. Let g = -29 - w. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4.8. Let v = -416.3 - -68.3. Let y = 348 + v. Which is smaller: n or y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**6\/40 + v**5\/10 - v**4 - v**2 - 92. Let i(y) = 0. What is y?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d - 9. Determine a(-11).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3231869219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**5 + 5685*h**4 + 5705*h**3 - 17065*h**2 - 5700*h + 11380 = 0.\nAnswer: -2, -1, 1, 1138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1648662865?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18873001 by 7.\nAnswer: 2696143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**7\/189 - 19*c**6\/135 - c**5\/5 + 18*c + 4. Factor j(n).\nAnswer: -2*n**3*(n + 1)*(n + 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6073955599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/688, -5 in descending order.\nAnswer: 3, -3\/688, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + -2*sqrt(252))**2*6 + -2)*4 - 2*((sqrt(252) + -1 + sqrt(252) + sqrt(252) - sqrt(252))*-4 - (5 + 1*sqrt(252))**2).\nAnswer: 216*sqrt(7) + 6586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17642, -17653, -17678, -17723, -17794, -17897, -18038?\n\"Answer: -z**3 - z**2 - z - 17639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 10 = -3*g, 16*g + 100 = -3*m + 71 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1686313*w**2 + 4 - 12 + 8 + w**3.\nAnswer: w**3 - 1686313*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v - 3. Let d be a(-4). Suppose d = 2*q - 39. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 443 - 253. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 25 = o. Let y = -224 + 230. Solve o*a - y = -2*i - 41, 20 = i - 5*a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = -0*v + 2*v, -4*v = 2*l - 12. What is the hundreds digit of l\/4 - -220 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 77*c**3 - 5 + 5*c + 30*c**3.\nAnswer: 107*c**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 at most as big as -31818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**(4\/15)*(w*w**(-4\/3))**(-33) assuming w is positive.\nAnswer: w**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 plus 173884320.9174?\nAnswer: 173884295.9174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 - 466*u + 935*u + u**3 - 469*u.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.066? (a) 2\/5 (b) 2 (c) -49 (d) -0.2 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**3\/3 - 7*b**2\/2 - 3*b - 390. Determine j(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.5 (b) 2\/5 (c) 0.091 (d) -5 (e) 1338\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3 - k**2 + 3*k**2 + 4*k + 0*k**2. Let d be c(-2). Suppose -u + 4 = 0, 0*r + 18 = 2*r + d*u. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 68*j**3 + 183*j**3 + 338*j**3 + 1.\nAnswer: 453*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 0 - (-33 + 14 + 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 2*q**2 - 4)*((q - 3 + 3)*(0 + q + 0) + 2*q**2 - q + q + (-219*q + 219*q - 60*q**2)*(13 - 10 - 18)).\nAnswer: 1806*q**4 + 903*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103627 = 18*a - 144755. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.56 + 7.56. Let z = s + -7.000024. What is z rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**4 + 34*u**3 - 1628*u - 32. Let b(v) = -v**3 - v + 8. Let g(x) = -4*b(x) - n(x). What is the second derivative of g(h) wrt h?\nAnswer: 12*h**2 - 180*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + 5 + -4 - 9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, n: 2, i: 2}. What is prob of picking 2 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2801, 9\/4, 2\/7, 0.5, 2.18?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60546 is divided by 19862.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4\/13, 0.1, -5, -1\/251, 20 in descending order.\nAnswer: 20, 1, 0.1, -1\/251, -4\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*a + 725 = 0, -2*n + 4*a - 400 - 84 = 0. Round n to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 23*y + 39. Let m(d) = d**2 + 11*d - 19. Let a(j) = 13*m(j) + 6*z(j). Let u be a(-7). Put 2, u, 4 in descending order.\nAnswer: 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007689292684 rounded to 7 dps?\nAnswer: -0.0000769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-75)\/9)\/(3 - 40\/12). Let o(j) = -j**2 + 12*j - 15. Let r be o(10). Suppose r*g = -10 + z. What is the lowest common multiple of g and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/5)*b)**(-2\/9)\/(b**(-3)\/b**(2\/3)))\/((b**(2\/5))**(-44))**(-1\/45) assuming b is positive.\nAnswer: b**(667\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**2 + 7272*y - 29024 = 0. Calculate y.\nAnswer: 4, 1814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(2) + 1 + sqrt(2))**2.\nAnswer: 48*sqrt(2) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 0*x + 0*x**4 + 2\/3*x**3 - x**2 + 0 + 1\/15*x**5. What is the derivative of j(p) wrt p?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406214 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 25088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from llllllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/1914 and 115\/9563562?\nAnswer: 105199182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -277 greater than or equal to -277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 + (152 + -3)*-1)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -5*w**3 + 7*w**2 - 2*w - 7. What is the derivative of i(p) wrt p?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/3 + (-3)\/9. Let d(t) = -t**3 + 41*t**2 - 142*t - 10. Let y be d(4). Put 1, m, y in descending order.\nAnswer: y, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**2 - 4*u + 3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5550 = -18001*s + 17851*s for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(2*c - 2*c + 2*c)*(1795*c**4 + 308146*c**2 - 308146*c**2).\nAnswer: -3590*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 146 + -17. Suppose 81 = 3*a - z. Suppose -a = -c - 1140. Round c to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 368\/(4\/1). Let f be -135*16\/24 - (2 - 0). Let i = x + f. Solve -n = -i*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*7)\/(3\/(-6)). Suppose 0 = 5*z + 4 - b. Suppose 12 + 4 = z*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1176 and 2184?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -410*g - 11. Let q(p) = -410*p - 10. Let i(w) = 2*q(w) - 3*v(w). Let k be i(-5). Let r = -1160 - k. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 12*d + 261. Calculate p(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 639 * 3413\nAnswer: 2180907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 829*f + 825*f - 36, -2*f = 5*n + 36 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*r - 27. Let p(b) be the third derivative of 0*b + 0 + 5\/6*b**3 + 3*b**2 + 1\/60*b**r + 1\/8*b**4. Determine p(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 1. Let u be d(-1). Solve u = 3*r + 13 - 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-201 - (-359 - -164)) + -63 + -2?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 57.27. Let d = g + 0.73. Is -3 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 8:31 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - 3. Let m be y(0). Let a be 0 + 4 + m + 2 + 1. Suppose -3*q = a*g - 30, 0*q + 4*q = g - 17. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28240.12km to nanometers.\nAnswer: 28240120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14216, -14220, -14232, -14258, -14304, -14376, -14480, -14622?\nAnswer: -14808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403748 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**5\/5 + 2*i**2 - 351. Let b(c) = -525*c. Give o(b(h)).\nAnswer: -3307500*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 1. Let f be j(0). Let p be ((-1)\/3)\/(4\/84). Let b(n) = -n - 9. Let r be b(p). Sort -5, f, r in descending order.\nAnswer: f, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 42079.\nAnswer: -42071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**15\/d)\/d**18 assuming d is positive.\nAnswer: d**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -742 - -2086. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338, 475, 572, 605, 550, 383?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*y + 28*h - 32*h, 5*h = 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-21)\/(-4))\/(-3))\/(311\/(-8708))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2800001 and -0.5?\nAnswer: 0.2199999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**3 - h**2 - 2*h - 1. Suppose -3*j + 7*j + 21 = -g, -2*g - 17 = 3*j. Give v(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1215*c**5 + 110025*c**4\/2 - 445965*c**3\/2 - 67510*c**2 + 5430*c + 1960 = 0. Calculate c.\nAnswer: -49, -2\/9, 1\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 - -69. Suppose 5*v + 194 = 3*q, q = 2*q + p*v - 46. What is the first derivative of -113*h**4 + 62*h**4 - 31 + q*h**4 wrt h?\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 26*f. Let b(w) be the first derivative of -w**2\/2 + 28. Determine d(b(a)).\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-80)\/(-30)*(-45)\/(-12). Suppose 0 = -142*c + 137*c - p. Sort 67, c, -1 in descending order.\nAnswer: 67, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2681\/(-1149)*(-1170)\/35?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2688 divided by 192\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o - 82*o + 25*o - 5*o + 0*o.\nAnswer: -39*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1867253184.\nAnswer: 2, 3, 3241759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from gggggdgdrrggddrr?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -979915865816\/113197 - -8656730. Let z = m + 329290187\/2150743. Let u = z + -153. Is u less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 9:48 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + 4 + -14 + 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438098.439 rounded to the nearest 1000?\nAnswer: 438000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -46, -83, -116, -145, -170, -191, -208?\n\"Answer: 2*f**2 - 43*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106926, -106918, -106898, -106860, -106798, -106706, -106578, -106408?\nAnswer: -106190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6064*y - 12121. What is k(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nooonoongosnnonoooio. What is prob of picking 1 g and 1 o?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let a be m*(-2 + (-5)\/(-2)). Let o = 547 + -2736\/5. What is the nearest to -2 in o, a, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 5*p + 2. Determine h(5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 5*x**2 + 5*x - 5. Let i be (0 - (-2 - -1)) + -1. Suppose i = 4*u + c - 0 - 2, -4*u + 12 = -4*c. Let p be u - ((-6)\/(-1) - -1). Give d(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 9 = g, -15252 = -8*g - 3*u - 15400 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 42 = 70. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14))\/(9\/(-7))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 8. Calculate the remainder when 99 is divided by u(-17).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 13*x + 9. Let s(p) = 14*p + 11. Determine 5*o(f) - 4*s(f).\nAnswer: 9*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -10?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-10) - 3\/(3 - 6)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 212348 + 120?\nAnswer: 212468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107.1 + 107. Let p = 1.0266 + -0.0266. Which is the second smallest value? (a) p (b) 6\/5 (c) w (d) 32\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n**3 + n**3 + 11*n - 12 + 6*n**3 - 10*n**2. Let x be f(9). Solve -x*l + l + 25 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 1, 14 in decreasing order.\nAnswer: 14, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 184, 158, 112, 40, -64, -206, -392?\n\"Answer: -x**3 - 4*x**2 - 7*x + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 44*d = -99 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -2 - 0 - 0) + 3 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10826 and 66.\nAnswer: 357258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26299, -26434, -26569, -26704?\nAnswer: -26839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6433923, 6433922, 6433921, 6433920, 6433919, 6433918?\n\"Answer: -l + 6433924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/102 or 0?\nAnswer: -5\/102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.2 + -8. Let g = -3.223 - -3.623. Sort s, g, -22.\nAnswer: -22, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 615, 1366, 2413, 3756, 5395?\nAnswer: 7330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 7. What is w(-15)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1631283.\nAnswer: 3, 19, 28619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -249*n + 6474. Determine s(26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7022160 by -27.\nAnswer: -260080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -954 + 1048. Solve 93*u = z*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 105*v**2 - 6*v - 10. List the prime factors of q(3).\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - 154\/21)*63\/6. Solve -1 = p*v - 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2*m = -327 + 215, 16*q = 44*q - 5*m + 316 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 101*v - 148*v.\nAnswer: -47*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1008 and 12192?\nAnswer: 256032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 = 7. Let m(a) = -2*a**2 + 3*a - 2. Let y be m(2). Let x be s*2\/y + 4. Solve 0*f = x*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23289 is divided by 11518.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17270748 + 30069748. Round k to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 + 3. Let m(x) = 3*x**2 - 2*x**2 - 2*x**2 + 2*x**2. Give j(h) - 4*m(h).\nAnswer: -h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, 6, 8, 0, -24, -70, -144?\n\"Answer: -l**3 + 4*l**2 + l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-88)\/(-68))\/(-11) - (-20)\/(-119). Which is the second smallest value? (a) 13.5 (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 68*h + 573. Determine x(58).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 466*t - 463*t. Solve -3*z - 2*o = -7, -3*z + 5*o - 2 = t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52617 + 16?\nAnswer: -52601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.24, -18, 2, 13.97?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -35*r + 3. Let h(c) = -70*c + 7. Determine 2*h(u) - 5*p(u).\nAnswer: 35*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2898*c - 71 + 5799*c - 78 - 2899*c.\nAnswer: 2*c - 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1650863 - -81?\nAnswer: 1650934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -42.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152 and 2608.\nAnswer: 49552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40\/30631 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 162*t + 3490. Give y(-24).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359720000 rounded to the nearest one million?\nAnswer: 360000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3901040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 r when four letters picked without replacement from crcccrccmcrccmcccccc?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -0.9. Let z = 3.5 + y. Let a = z + -4. What is a rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 202343 - -3?\nAnswer: 202350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 387 divided by 28\nAnswer: 387\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 13*m - 45 = 0. Let q(i) = -i**3 + 36*i**2 - 281*i + 155. Let f be q(25). Let s = 1 - -1. Solve s*d + m = f*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-182))\/(5\/(-7) - -1). Let v = 75 - 76. Which is the closest to v? (a) y (b) -0.22 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18*((-696)\/18)\/(-29). Calculate the highest common divisor of i and 1284.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 533\/100 + 1\/300. Let o = r - 35\/6. Let k = 7\/4 + -2. Which is the second biggest value? (a) -3 (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**3 - 24*w**2 + 30*w + 8. Let d be m(-7). What is the remainder when 614 is divided by (d - 196\/(-35))\/((-3)\/165)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8535, 8531, 8529, 8529?\n\"Answer: o**2 - 7*o + 8541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 13. Suppose 7*f - 62 = 8. Suppose -f*w = 27 - 207. Calculate the lowest common multiple of w and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*p + 13 = 0, -d - 22 = 7*p - 2*p. Suppose w - 3*g = 1, -w - 3 = -4*g - 2. Calculate the remainder when w is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1103.2 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 994\/6 - (-6)\/(-9). Let g be r\/(-6) - 2\/4. Let w = 65 + g. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 633 = 2*f, 3*f - 2*c = -f - 1306. Let d = f - -187. Let o = 204 + d. What are the prime factors of o?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.6 and 0.085.\nAnswer: 1.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {k: 1, d: 1, c: 1, z: 1, v: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/64)\/((-3)\/6). Let l = 15.505 + 1.495. What is the biggest value in -5, t, -0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1822881184 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/3)\/((-4)\/12). Suppose -b*x + 10 = -22. Let g = x + 1. Solve 5*h = 2*h - g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(63) + (-2*sqrt(378))\/sqrt(6)))\/((-1*sqrt(5400))\/sqrt(6)) + -1.\nAnswer: -1 + sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1\/7, 2\/35, 2, 633.53?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (260\/195)\/(1\/((-6)\/(-20))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10)\/y*y**(2\/51))**(-3\/28) assuming y is positive.\nAnswer: y**(559\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00048415 to 5 decimal places.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjc when three letters picked without replacement from {j: 3, z: 1, c: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k - 2*k + 3*k)*((1 + 1 - 1)*(-2 + 4 - 5) - 3 + 4 - 4) as y + i*k and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 971.3603 litres to millilitres.\nAnswer: 971360.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5869, -22860, -50989, -90262, -140685?\n\"Answer: -y**3 - 5563*y**2 - 295*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8103721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 412, 1647, 3712, 6613, 10356, 14947?\n\"Answer: f**3 + 409*f**2 + f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*d = 54*d + 242 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/605 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d. Let z(r) = r**2 + 5*r + 4. Let n(s) = 2*q(s) - z(s). Suppose 16 = a - 5*a. Give n(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86873.88l in millilitres?\nAnswer: 86873880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 851*z + 164015. Determine w(-295).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 26*m + 81. Let g be y(-3). Suppose -g*a + 3 = 0, 5*b + 47 - 423 = 4*a. Calculate the remainder when b is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + -5 + (-8)\/1. Let z be (248\/56 + -5)\/(22\/r). What is the third biggest value in 1\/10, 6, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4927 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, x: 7, e: 1}. Give prob of picking 1 j and 1 e.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.57 - 0.43. Put -3, 0.2, f, -2\/3 in descending order.\nAnswer: 0.2, -2\/3, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00309178 rounded to 5 dps?\nAnswer: 0.00309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.3*-30604.\nAnswer: 560053.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -157 + 585. Let m be (-3875)\/35 - -1 - -3. Let i = z + m. Sort 1, i, -0.2.\nAnswer: -0.2, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 24 + 26 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - 4*c**3 + 3*c**2 + c + c. Suppose 157 = 54*i - 5. Let q(a) = -a**2 - a. Determine i*q(m) + x(m).\nAnswer: -2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -5, 60, 223, 526, 1011?\nAnswer: 1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/4000*20)\/((-10)\/150)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/63 and 151\/6300.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*v + 7, -3*v = -h - 0*v + 5. Let i = 1 + h. Solve -5*r - 2*o - 11 = o, 3*r = -5*o + i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74 or -63?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1709 - -0.170897661. What is b rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/10*q**3 + 1\/2*q + 2\/5*q**2.\nAnswer: -q*(q - 5)*(q + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323824714 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 128*h + 12. Let c be v(7). Suppose -s = 2*j - c, 3208 = 4*s + j - 389. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -114*u**2 - 20*u - 80. Let d(a) = -137*a**2 - 20*a - 81. Let q(j) = -5*d(j) + 6*n(j). Determine q(22).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 + c4?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/33 and -53\/1954.\nAnswer: 64482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97306 is divided by 31763.\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 160090196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 9?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9)*((-24)\/10)\/(-6)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)*-2*4)\/(2*sqrt(726) + sqrt(726)).\nAnswer: -8*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16730818 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.28 - 0.02. Suppose 4*l + 3*q - 25 = 0, l + 4*l + 2*q = 26. Suppose 21 = l*y + 1. Sort y, -2, b in decreasing order.\nAnswer: y, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0592 + 1.0112. Round y to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34531404101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {j: 5, y: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 2, 30390, -4, 5, 8, -3 in increasing order.\nAnswer: -31, -4, -3, 2, 5, 8, 30390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050537391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -185901118 + -571\nAnswer: -185901689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/514? (a) 1.2 (b) -4\/5 (c) -1\/3 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193571202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/3*-3 + 2*-1. Let w(x) = 10 - 32*x**2 + a + 37*x**2 + 3*x - x**3. Let r be w(6). Let p(c) = -c + 2. Determine p(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.987489533 to four dps.\nAnswer: 0.9875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 48?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -38. Let y = 421\/8 + -105\/2. What is the closest to 0 in a, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-56)\/(-6) - 14\/(-21) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (6 + -19 - 27).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 566*x + 28. Let a(n) = -10*n. Determine u(a(v)).\nAnswer: -5660*v + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5411 (base 6) to base 11\nAnswer: -a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -4*z**5\/5 - 19*z**4\/2 - 44*z**3\/3 + 16*z**2 - 415. Let p(v) = 0. What is v?\nAnswer: -8, -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**6\/660 - p**5\/165 + p**4\/132 + 2*p**3\/33 + p**2 + 18*p. Factor n(q).\nAnswer: -2*(q - 1)*(q + 1)*(q + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17519.\nAnswer: 17519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**7*s*s)\/(s\/(s\/(s*s*s**8))))**36)**(-27))**23 assuming s is positive.\nAnswer: s**22356","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1508 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2354716 and 37856?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (472*x**2 - 964*x**2 - 906*x**2)*(-3 + 0 + 2) to j*x**2 + b*x + i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 1033.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9 + 16\/9. Suppose -3*w - p + 12 = 4*p, 4*p - 16 = -4*w. What is the first derivative of 3*r**2 + 5 + r**w - r**2 - v*r**2 wrt r?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -629*n + 304*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37586.13 hours in minutes?\nAnswer: 2255167.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9 + 15 = 0. Solve 4*d + 10 = k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 78? (a) 3\/7 (b) 0.3 (c) -3\/5 (d) -229\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g. Let y(o) be the second derivative of -2*o**3 - o. Let x(v) = 4*v. Let b(n) = 16*x(n) + 5*y(n). What is b(i(d))?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*v + 32 = 47*v - 3*l, 2*l + 8 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -208551 divided by -9931?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533527173?\nAnswer: 3, 3793, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 70*o**2 + 90*o + 681. Calculate b(72).\nAnswer: -3207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:23 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.069 times 0.165\nAnswer: 0.011385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12781.2 - 12780. Which is the smallest value? (a) -2 (b) 4\/5 (c) -0.1 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 9*z + 12. Determine b(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 795, 1005, 1215, 1425?\n\"Answer: 210*y + 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001100000000001 (base 2) in base 11?\nAnswer: 27266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90083 + 1441307\/16. Let f = -978 - -3815\/4. Find the common denominator of u and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*h - 5. Let y be 0*((5\/10)\/(-1))\/(-2). Solve -n + 3 = -2*u - y, h*n + 5*u = -35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1023 at least 2.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51019470767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by (-31 + (-4392)\/(-96))*4\/1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 852, 3403, 7650, 13593, 21232?\n\"Answer: 848*f**2 + 7*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 1, -1, -12, -94 in decreasing order.\nAnswer: 79, 1, -1, -12, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p + 74*p**3 - 76*p**3 + 9500*p**2 - 10138*p**2 in the form s*p**3 + i*p + t*p**2 + g and give t.\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25805910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33980\/(-13) + 30\/(-195). Let l be -2 - (-1 - -2)*u. Suppose 5*s - l = s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -320230322?\nAnswer: 320230330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003791 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -15, -6, 3, 12, 21?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k*m**3*p - k*m**2*p + k*m*p - 2*k*m - m**2*p + 8 wrt m.\nAnswer: 18*k*m*p - 2*k*p - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-3)*(14\/6)\/7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57317.\nAnswer: 13, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -100, -181, -264, -349, -436?\n\"Answer: -g**2 - 78*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17725588*c**2*d**3 - 8*c*d**3 - 1162362*c*d wrt c.\nAnswer: 35451176*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4, 2*b = 5*w + b + 31. Let y be -2 + 3 + 13 - 2. Let s = y + w. Solve 0 = s*q - 3*f + 10, 2*q = -2*q + f - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1005113 (base 6) to base 5.\nAnswer: -3012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.2, -1, 57, -1.02, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 4.1, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i - 5*y = -20, -i - 5*y + 5 = 0. Let p be 1434\/2 + (i - -4). Suppose 5*d = 89 + p. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-94)\/(-141)*6\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1627499.4 to the nearest 10000.\nAnswer: 1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 2632, 0.05, 2\/19, 3 in increasing order.\nAnswer: 0.05, 2\/19, 2, 3, 4, 2632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-50)*-6)\/(378\/(-70))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -4*d + 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence heb when three letters picked without replacement from {b: 1, n: 1, h: 1, d: 1, e: 1, y: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 + 0 + 8 + -23 + 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*f = -21*f. Solve f = 4*l - 4*c - 16, l - 3*c - 19 = 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 23545.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a meter in millimeters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -255721 > -255721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**5\/15 - 34*a**4\/9 - 130*a**3\/9 - 64*a**2\/3 - 518*a. Factor c(n).\nAnswer: -4*(n + 1)**2*(n + 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**5\/60 - u**4\/6 - u**3\/3 - 2. Let s(j) be the third derivative of w(j). Suppose 0 = -5*k - 27 + 7. Determine s(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6125 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - y + 6 = -6, -v + 4*y = -6. Suppose -o - 110 = -v*o. Suppose 4*x = -o + 10. Is x < -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44904\/(-9174)*(-2 + 115\/60). Let g = 110063\/20850 - 132\/25. Let c = j - g. Which is bigger: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3124 - 5288 + 4319)*(0*r + 3*r - r + 0*r + r - 3*r + (-2 - 1 + 1)*(-2*r - r + r) - r - 3*r + 5*r) to x + j*r and give j.\nAnswer: 10775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -948, -1911, -2892, -3897, -4932, -6003, -7116, -8277?\n\"Answer: -k**3 - 3*k**2 - 947*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 21*d + 31. Determine x(-17).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411970.\nAnswer: 2, 5, 13, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633738156?\nAnswer: 2, 3, 52811513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*(3 + (3 + sqrt(847))*-4))**2.\nAnswer: 12672*sqrt(7) + 218127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/140)\/((-63)\/(-105))*(-16)\/6\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10719*y = -11654*y + 27115 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 7787 + 7798 = -2*z, 0 = 2*z - b + 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c (base 13) to base 15.\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**6\/120 + r**5\/20 - r**4\/4 + 2*r**3\/3 - 22*r**2. What is the lowest common multiple of q(-4) and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -61*d**3 + 14*d**2 + 77*d + 18. Let j be s(-4). Calculate the greatest common divisor of 114 and j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/14*(-12 + (-660)\/(-48)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**2. Let r(u) = -u**2 - u - 13949. Determine r(h(k)).\nAnswer: -25*k**4 - 5*k**2 - 13949","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 496, 979, 1488, 2035, 2632, 3291?\nAnswer: 4024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Suppose -n*u + 24 = g + 7, -9 = -2*g - u. Suppose 0 = g*k + a - 34, -5*a - 31 = -k - 2*a. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-19)\/(-38) - 2\/4. Let s be (-8)\/(-12)*(-6)\/(-4). Solve c = -m - 0 - s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/3, -3, -1, -369?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 6, b: 3, m: 4}. Give prob of picking 1 k, 1 m, and 1 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528632 greater than or equal to 12229065\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (103\/309)\/(2\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -4, 3, -239134, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 598000 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452469346?\nAnswer: 2, 7, 32319239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9954349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/22 and 82\/99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 8*o - 4*o = 0, -5*s - 2*o = -16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 greater than 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*g**2 - 202*g + 32*g + 1 - 3 + 167*g + 945*g**3 in the form q*g + z*g**3 + d + n*g**2 and give z.\nAnswer: 945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 0 + (11 - -1 - 13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)\/h**4)\/(h*h**(-4)\/h*h**(-6)) assuming h is positive.\nAnswer: h**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12127697.\nAnswer: 12127697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 110?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -429 - -433. Which is the fourth biggest value? (a) j (b) 2 (c) -5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/287 and -29\/41.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(60480\/63))\/(1*(-2)\/(-130))\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77.2 + -77. Which is the nearest to 0.1? (a) -2\/5 (b) l (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118933916.\nAnswer: 2, 29733479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*i**2 + i + 12104 - 6053 - 6051 - 77*i**3 to o + m*i**3 + w*i**2 + u*i and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515220409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**4\/4 + 7*w**3 - w**2 + 18*w - 1. Let j be a(-21). Suppose 4*v - j = 2*v. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**2 - 16*m**2 + 38*m**2 - 3*m**3 - 13*m**2.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01588416 to four dps.\nAnswer: 0.0159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455*a + 858*a + 2113*a + 6*a + 37752 = 0 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16 and 201426591.71?\nAnswer: 201426575.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**5\/5 - 14*i**4\/15 + 8*i**2\/15 = 0.\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280895*u + 3 + 2 - 5.\nAnswer: -280895*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(6 + 208\/(-64)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 3*u**2 + 2*u - 5. Give b(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17943\/7 - -2563. Which is the biggest value? (a) 2\/5 (b) 2\/65 (c) 1 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {l: 2, i: 18}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 99*u + 6191. What is f(-64)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2\/5 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.911 + -0.089. Which is the closest to -2\/7? (a) q (b) -0.4 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**7\/70 - 33*r**6\/4 + 27553*r**5\/20 - 6765*r**4 + 13448*r**3 - r**2 + 139*r. Factor j(a).\nAnswer: 3*(a - 164)**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(6*w**3 - 7*w**3 + 0*w**3) + 2*w**3 + 119*w**2 - 95*w**2 - 4*w**3.\nAnswer: -4*w**3 + 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-9))\/(2\/(-9)). Let n be 3\/(i\/(-4)) + -943828. Let q = n + 543830. What is q rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from syyyyyyssy?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2044167127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**12\/m*m)**(-39) assuming m is positive.\nAnswer: m**(-468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 41625220.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 851*u**3 - 543*u**2 + 543*u**2 - u**4 + (-2*u**2 + u - u)*(-2*u**2 + 0*u**2 + 0*u**2).\nAnswer: 3*u**4 + 851*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o + 13. Let a be (-4)\/6 - 4\/(-6). Suppose j = 4*j - 2*d - 147, a = -3*d + 9. Calculate the remainder when j is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 222.0744 + -222. What is d rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -11\/13, -3, -2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, o: 1, w: 2}. What is prob of sequence orw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6269537 and 44855.\nAnswer: 6314392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6*-313\nAnswer: -1878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/348361 smaller than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 30 - 19)*(0*z + 5*z + z)*(4*z - 3*z - 4*z).\nAnswer: 774*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (38 - (108 + -20)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640*n - 42376 + 4648 = 116*n for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*q**6 - 613*q**4 - 2*q**3 + 44391*q**2 wrt q?\nAnswer: 480*q**3 - 14712*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-7)*k))\/(k\/((k*k**(2\/11)\/k)\/k*k))*(k**1\/k)**21)\/((k**(2\/5))**(-16)\/(k**1*k**(-4))) assuming k is positive.\nAnswer: k**(527\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(19\/2)\/r**(-25) assuming r is positive.\nAnswer: r**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 266 + -151. Is 44 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4530551 (base 7) to base 16\nAnswer: -893c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-307260)\/(-130) - (-54)\/117 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -52647 + -3?\nAnswer: -5264a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15361 and 82.35.\nAnswer: 1264978.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -16457431?\nAnswer: -16457434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72518 = -3*w + 3*w + 2*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106520*g**2 + 13160*g wrt g?\nAnswer: 213040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffpeffpnnfzffezefpf. What is prob of sequence zf?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**2 + 5*a + 6. Let o be g(7). Calculate the highest common divisor of 26 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 27*m**2. What is the tens digit of f(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 43*r**7\/14 + 55*r**4\/4 - 143*r - 119. Let f(x) be the first derivative of h(x). What is the third derivative of f(b) wrt b?\nAnswer: 7740*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 188, 1198, 2738, 4802, 7384, 10478, 14078, 18178?\n\"Answer: -m**3 + 271*m**2 + 204*m - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -911*d + 3311 = -26752 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 395270 - 298033525\/754. What is the common denominator of -125\/78 and c?\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20355 + 3?\nAnswer: 20402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 3:48 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.15 and 1.344?\nAnswer: 1.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*q - 65 = -8*q, q - 4 = 0. Let f(s) = -s**2 - 18*s - 37. Let j be f(a). Solve 3*k - 8*k**3 + 0*k**2 + k**3 - 5*k**2 + 18 - j*k**2 - k**4 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c - 19389 - 44168 = 0. Let m = c - -48823\/10. Let q = 2822\/17325 - 2\/693. Calculate the common denominator of m and q.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 10127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -91?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81071983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fij when three letters picked without replacement from fijiitittuu?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*o + 6*o - 14, 4*w + o = 14. Suppose 10*b - 11*b + w = 0. List the prime factors of b\/(-3) - -6*11.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 6*i + 6. Suppose z + 4 + 5 = 0. Let j be (-56)\/z + 2\/(-9). What is the units digit of x(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*t**3 + 635*t**2 - 1305*t + 90 = 0 for t.\nAnswer: 1\/14, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 13. Let u be (4 - 2)*(w + 6). Let l be 30\/(-7) - u\/(-7). Which is bigger: l or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3017 (b) -2 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + (-2 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66241 - 66245. Let p be 0 - 2\/2 - 1. Which is the closest to -1\/4? (a) 0.4 (b) 2\/11 (c) p (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, -0.3, 22, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from {y: 4, s: 4, b: 8}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-24))\/((-12)\/206) and 31\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/((-40)\/72).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 864*g**2 - 1200*g + 120. Let m(l) = -l**2 - 10*l + 1. Give 240*m(j) - 2*n(j).\nAnswer: -1968*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-616)\/(-10395)*(-144)\/(-32)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757644 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2422416.6 rounded to the nearest one thousand?\nAnswer: -2422000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -5, 0.3, -3\/47, 4?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)*-2)\/(1*(sqrt(2) + sqrt(6)\/sqrt(3)) + sqrt(2)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - a + 1 - 46 = 0, x + 15 = a. Is 722\/6 + (-10)\/x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 52343, 52548, 52753?\n\"Answer: 205*a + 52138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -683, -1314, -1929, -2522, -3087, -3618, -4109?\n\"Answer: d**3 + 2*d**2 - 644*d - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1974 + 1159. Let u = 2486 + k. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70711.3ml in litres?\nAnswer: 70.7113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahs. What is prob of picking 1 a and 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1113 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (3 - 6 - (16 - 18)) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1321 - 422 = -408*o - 733 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 51 = -15*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/46)\/(2\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*q - 77*q + 360. Which is smaller: q or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4718681 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (21 - (163 + -26) - -2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 22*j**2 - 17*j**2 + j**3 - 2 + 2. Let c(h) be the third derivative of -h**5\/60 + h**2. What is -10*c(k) - 2*i(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -4. Let v(d) = d**3 + 15*d**2 + d + 21. Let c be v(-15). Let b be (-16)\/c - (-3)\/g. Put 2, -0.1, b in ascending order.\nAnswer: b, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 434848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l. Let o(z) = 5*z. Let f(n) = n. Let k(s) = -6*f(s) + o(s). Determine x(k(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*r = -576, h = 4*h + 4*r - 354. Suppose 2*x = 2*c + x - h, 0 = -x. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 2*m + 16 = 0. Suppose -1 = -3*h - 5*c, 5*h + m*c - 2 = 4. Let d = -2617 - -2616. Which is smaller: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 205 and 15.\nAnswer: 3075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 + 235 = 2*f + 19*j, -3*f = -5*j + 48 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1170*r - 1254*r + 2422*r + 466.\nAnswer: -2*r + 466","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 156, 250, 344, 438?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7944 by 6.\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/(-966)*23*(0 + 2 + 70). What is the highest common factor of j and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/4)\/((q**11\/q)\/q)*(q**(-1\/4)\/q)\/q**(3\/8) assuming q is positive.\nAnswer: q**(-87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2662202 is divided by 390.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9538*d - 2*d**2 + 3 + 3*d**2 - 9538*d. Let c(s) = 1. Let y be -1 - -1 - (0 - -5). Give y*i(m) + 15*c(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3203133314 + 12?\nAnswer: 3203133330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 - 7*o**3 + 4*o**2 - 5*o**2 + 1 + 8*o**3 - 2*o. Give b(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -3758059.\nAnswer: -3758056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/837 and -17\/30690?\nAnswer: 92070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + ((-34)\/10 - (-2)\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15766312 is divided by 52034.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 - 6*t**3 + t**2 + 6*t.\nAnswer: -t*(t - 1)*(t + 1)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2359435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 10:01 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (704\/(-14))\/(-2) - (-140)\/(-980). Differentiate -21*v**2 - 116 + x*v**2 + 87*v**2 wrt v.\nAnswer: 182*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - 11 - -14) + 21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 3*m**5\/20 + 5*m**4\/4 + 4*m**3 + 6*m**2 + 583*m. Factor z(p).\nAnswer: 3*(p + 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.118 + -9.118. What is the smallest value in u, -7, -0.5, -4, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*v + 2853 + 6471. Calculate the remainder when v is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - ((-44)\/(-12) + -4)*6. Let f(m) be the first derivative of 6*m - 1\/3*m**3 - 5\/2*m**2 - p. Calculate f(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23013596, 23013591, 23013594, 23013611, 23013648, 23013711, 23013806?\nAnswer: 23013939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - g**2)*(-5*g**2 + 2*g**2 + g**2) + 8*g**4 + 3*g**4 + g**4.\nAnswer: 14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 6:28 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 52*g + 8. Let w be n(13). Suppose 41*i = 35*i + w. List the prime factors of i.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 31 = 5*c, -2*c - 4 = -5*j + 1. Suppose 202 = 4*l + 3*f, -4*f = 4*l - 0*l - 204. Let b be l\/(-35) - (-3)\/(-5). Put -5, c, b in descending order.\nAnswer: c, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -3\/2 (b) -2 (c) -3 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -2664022.\nAnswer: -2\/1332011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*v + 12 = 2*l + 246*v, -l + 36*v - 33*v + 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3701, -7406, -11123, -14852?\nAnswer: -18593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 25*s**2 + 322*s - 10. Calculate x(9).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -7*x**4\/8 + 5*x**3\/6 - 3*x**2. What is the hundreds digit of o(-34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 8:11 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**5\/75 - 8*h**3\/15 - 50*h**2 - 5*h + 5. Let z(w) be the first derivative of a(w). Solve z(b) = 0 for b.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-4)*(-33)\/154?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14824, 29687, 44550?\nAnswer: 59413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 879989071 to the power of 1\/2, to the nearest integer?\nAnswer: 29665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*p - 13 - 24 = 0, 3*q - p - 127 = 0. Solve 0 = q*w - 65*w + 23 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.1, -4183509 in ascending order.\nAnswer: -4183509, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 2 = 14*u. Suppose 3*n = 3*l + 6, -2*n + 4 = -u*l - 0*n. Let s = -27298\/35 - -780. Which is smaller: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 7*l + 3*g - 35, -3*l + g + 23 = 0. Solve -f + l*h - 45 = 0, 3*f + 2*h - h + 10 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -399, -595, -789, -981, -1171, -1359?\nAnswer: -1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 3*r - 4*r)*(-3*r + r - 3*r) + (-r**2 - r**2 + 3*r**2)*(0 + 2 + 0).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34019 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 76 = 54. Let m = 1 + w. Suppose 4*u - m - 45 = 0. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2039.95 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9e189 + -5?\nAnswer: -9e18e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60573?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 58*u**2 - 188*u - 128.\nAnswer: 2*(u - 32)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8810 rounded to the nearest one hundred?\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*d - 74544*d**3 + 37166*d**3 + 36200*d**3 to j*d + i*d**2 + n*d**3 + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) -2\/95 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 533970?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1476\/820)\/(81\/450)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**12)\/t**32)\/((t\/(t**3*t*t*t*t))\/t*t*(t\/(t\/(t*t\/(t\/t**(-1\/2)))))\/t) assuming t is positive.\nAnswer: t**(-73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 587 - 2219 = -6*s. Calculate the greatest common divisor of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24471, 49334, 74181, 99012?\n\"Answer: -8*a**2 + 24887*a - 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*n - 5*n + 259 + 24*n - 3*n - 2186 with respect to n.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/3 - -1 - -4. Suppose 0 = y*h - h - 18. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2643, 2697, 2767, 2847, 2931?\n\"Answer: -u**3 + 14*u**2 + 19*u + 2611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2))\/(1\/2). Suppose n + m*i = 13, n - 4*i + 22 = -0*i. Let k = 13.1 + -13. Which is bigger: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/8028 and 31\/6021.\nAnswer: 24084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d + 6. Let x = 1064 - 1075. Let v(p) = -14*p - 17. Give x*m(f) - 4*v(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29, -30, -31?\n\"Answer: -a - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8653296.\nAnswer: 2, 3, 41, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*f. Suppose 3*c + f*k - 3*k = -3, 3*c + 5 = 2*k. Let z be (-1 - 383\/c)*-30000. What is z rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*j**2 + 5*j**3 + 245*j - 10*j**2 - 272*j + 29*j**2 - 13*j**2 as u*j**2 + v*j**3 + x + a*j and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 4, 1034, 5 in descending order.\nAnswer: 1034, 5, 4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 8*w**2 - w - 12. Determine p(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**3 - 5*x**3 + 7*x**3)*(-4*x**2 + x**2 + 2*x**2) + 8*x**5 - x**5 - 42*x**5.\nAnswer: -43*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -3744572.\nAnswer: 15\/1872286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-18))\/((-14)\/1050). Let u(g) = -g**2 - 1. Let w(p) = 7*p**2 - p - 4. Let z(a) = -5*u(a) + w(a). Let r be z(1). Is l greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/1746 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 2*l**2 - 103 + l**2 + 23 as m*l**2 + j*l + i and give i.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -52*c + 367. Determine t(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8111006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29b (base 13) to base 3.\nAnswer: 122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -58, -14 in descending order.\nAnswer: 1, -14, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(405) + -3 + 4)**2*6.\nAnswer: -108*sqrt(5) + 2436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2 + 10, -2*u - 8 = -3*f. Suppose f*x + 2 = 5*x. Suppose 1 = -3*t - x*v - 0, 2*t + 19 = -5*v. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d**3 - 21*d**3 - 31*d**3 + 95*d**3 - 15*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 36417b - -2?\nAnswer: 36417d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(52)\/sqrt(2)*4 - sqrt(26))\/(sqrt(16)\/sqrt(2)) + -5.\nAnswer: -9 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107*i**5 + 211*i**4 - 12*i**3 + 370*i**2 + 514*i + 2?\nAnswer: -6420*i**2 + 5064*i - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from efefeeaafffffefef.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c. Let q(y) = -26*y - 2. What is q(o) + 2*v(o)?\nAnswer: -24*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2388665?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = -5*s - 4*l, -6*l + l = -s - 45. Let d be (-4)\/22 + 1200\/s. Let h = -112\/5 - d. Is h equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379.85*-0.4.\nAnswer: 151.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 601.1 + -587.6999. Let k = x - -134.6281. Let b = k - 148. Round b to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*s + 110*s + 195*s - 59*s in the form g + t*s and give t.\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 199583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -a + 24. Let h be 24*(-3)\/a*(-4)\/(-6). Suppose -h*i = -11*i + 432. Does 24 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, 2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 o, and 1 l when four letters picked without replacement from gqgqyoqogolyu?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*w = -13, 5*w + 6 = -q - 8. Let h = 2.2 + -2. Which is the closest to 0? (a) 0.1 (b) h (c) 1\/4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + ((-6)\/(-10) - 91\/35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 4539741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2, 2\/21, 0.01, -3\/4, -15.8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(((-7)\/(-70))\/(2\/4)). Let j = 90 + i. Let d be -2*(-12)\/30*j\/4. Solve 2*k - d*k + 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/8 + 66\/88. Let k(f) = f**2 - 2*f + 2. Let z be k(n). Suppose z*s - l = 93 + 89, -4*l = -s + 91. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7 = 3*o. Let z(s) be the second derivative of 0 + 4\/9*s**2 + 4\/27*s**3 - o*s + 1\/54*s**4. Factor z(a).\nAnswer: 2*(a + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9507890 rounded to the nearest one hundred thousand?\nAnswer: 9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + n = -497 + 499, -2*n + 4 = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-2) + 3 - -5. Suppose -5*i - a + 5 = -x*a, 0 = -5*i + a + 21. Suppose -4*n = -i*n + 8. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 4*l - 28, -844 + 812 = 5*m - 3*l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1542?\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 260? (a) -112 (b) 15 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6882?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 + -104. Suppose 0 = -w*i + 16*i - 32. Solve -2*y = -k + 2*y - 2, -4*y = 2*k + i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -32. What are the prime factors of ((-200)\/(-5))\/(p\/1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -3, 2, 624, -2, -1 in increasing order.\nAnswer: -15, -3, -2, -1, 2, 624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3063?\nAnswer: 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-7)\/7)*18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {f: 2, j: 10, n: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108*g**4 + g**2 + g**4 + 27*g + 97*g**4 + 7*g**4 to d*g**4 + y*g**3 + a*g + v + k*g**2 and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24087 and 417249?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 5)*(-3)\/(-51). Let t = -0.29 - 0.21. Which is the second biggest value? (a) s (b) -0.4 (c) -1 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by (-12)\/54*3*(-141)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3163, -12307, -27557, -48913, -76375, -109943?\n\"Answer: -3053*i**2 + 15*i - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311763?\nAnswer: 3, 17, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 242960152.7 rounded to the nearest 1000?\nAnswer: 242960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 694382.7 centuries to decades.\nAnswer: 6943827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5458737 and 379.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s - 29 - 17 - 10*s + 16*s - 17 as z + k*s and give z.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 - 7 = 0. Let a = u - 1. Let l(t) = 2*t**3 - 3*t**2 - 2*t + 4. Let w be l(a). Solve -2*r + 5*v = -5*r + w, 20 = 4*r + 4*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -39, -93, -189, -339?\n\"Answer: -2*u**3 - 3*u**2 - u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -287 (base 16) to base 11\nAnswer: -539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73966?\nAnswer: 2, 31, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - o - 5 = 14, -4*p - 22 = -2*o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - m = 5*c + 21, 0 = -4*c - 4*m - 36 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377999896.\nAnswer: 2, 17, 2779411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 285237*z + 285232. Give g(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/14? (a) 20 (b) -1 (c) 1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.98 + -0.02. Let r be 4*12\/32*(-6)\/9. Is r smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 1\/3*z**4 - 2\/3*z**3 + 1\/5*z**5 + 14*z - 16 - 2*z**2. Let i(l) be the first derivative of k(l). Solve i(f) = 0 for f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 48723, 192074, 430061, 762684, 1189943, 1711838?\n\"Answer: 47318*f**2 + 1397*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -88695b - 34?\nAnswer: -886993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 57 = 4*w. Calculate the greatest common factor of 18 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-316)\/711)\/((-2)\/(-9))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4)*(-1 - 4 + 3)*(23*d - 52*d + 17*d)*(7*d**2 - 4*d**2 - d**2).\nAnswer: -192*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.173622 minutes?\nAnswer: 10417320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Suppose 41 = -4*n + w*x + x, 3*x - 1 = -n. Let r = -4 + n. What is r rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283839455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = 35*v - 15 - 221 + 25 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 16619090 = 16619264 for o.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2143410*a*t**3 + 10720359*t**3 wrt a?\nAnswer: 2143410*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*p + 69. Suppose n - 263 + 257 = 0. Calculate the remainder when p is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s - 118. What is the lowest common multiple of c(-28) and 1?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/11 (b) 0.5 (c) -2284 (d) -4 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1858 - 7286 = -46*a. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3*16)\/(156\/(-58864))?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4227162 (base 8) to base 14.\nAnswer: 2144ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 64.\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-33))\/((-279)\/4092)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36615 and 30.\nAnswer: 73230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/25 and -39\/5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 586355 - 586355.1599985. Let b = c - -0.16. What is b rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 + 3*j**2 - 3*j**2 + (j + 3*j - 2*j)*(2*j**3 + 2*j**3 - 6*j**3) + j**4 - 3*j**4 + 4*j**4 + 5*j**4 - 3*j**4 - 3*j**4.\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 7. Let q be (-2)\/13 - (-315)\/(-65). Let a be 12\/(q - 52\/(-8)). Determine y(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37179.11ug?\nAnswer: 37.17911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001058271 rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1927 = -a - 5*k + 1460, 20217 = 6*a - 5*k. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4757826 bigger than 4757830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183, -185, -187, -189, -191?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -4. Suppose -3*d + 5*r = 15, 5*r - f = -2*d + 3*r. Put -0.1, d, -2 in decreasing order.\nAnswer: d, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j**2 - 6*j - 9. Let y(b) be the third derivative of 0*b - 13\/24*b**4 - 19\/6*b**3 - 5*b**2 + 1\/4*b**5 + 0. Give -13*u(g) + 6*y(g).\nAnswer: -g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00130003 rounded to five dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1 + 70\/45.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 f, and 1 k when three letters picked without replacement from wdkfh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*270\/(-400)*4*5\/24?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 23. Let i = -143\/5 + v. Let m be -1*2 + 6 + -1. Which is smaller: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -375, 14, 21 in descending order.\nAnswer: 21, 14, 4, -3, -375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1137 - -3627. List the prime factors of r.\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66999 is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 109229 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((17 + -39)\/66)\/((-21)\/18). Factor -2*d + 8\/7*d**2 + f*d**3 - 20\/7.\nAnswer: 2*(d - 2)*(d + 1)*(d + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o**2. Let c be -11 + 17 + 1 + -4. Let d(z) = -z + 4*z - c*z + z. Calculate d(t(k)).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -666?\nAnswer: -664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + i**2 + 4*i**2)*(2 - 2 - i) - 52 - 4*i**2 + 52 - 2*i**3 + 2*i.\nAnswer: -4*i**3 - 4*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*h**2 + 57*h**2 - 147 - 148*h**2 - 2*h.\nAnswer: -13*h**2 - 2*h - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -8 - 12 - (-64 - -53)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/19 - 2*w**2\/19 - 12*w\/19.\nAnswer: 2*w*(w - 3)*(w + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 131701 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -3*q - 0*q - 1, -q + 1 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (2 - (-76)\/56). Let n = d - 17\/70. Let o = -1 + 2. Is n <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 5.61738?\nAnswer: -5.61738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 747, 2975, 6703, 11943, 18707, 27007, 36855?\nAnswer: 48263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, f: 6, h: 6}. What is prob of picking 3 f?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqr when three letters picked without replacement from yqrjqnjqyjj?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 62 + 23 = 0. What is the second derivative of -6*x + k*x - 22*x**3 + 6*x wrt x?\nAnswer: -132*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1977, 2236, 2495, 2754, 3013, 3272?\n\"Answer: 259*b + 1718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 21*q**2 + 3 + 6 + 14*q**2.\nAnswer: -7*q**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59582855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-608)\/20 - 8\/(-20). Let d be (-470)\/t - (-4)\/(-6). Let j be (d\/(-6))\/((-5)\/12). Calculate the highest common factor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/3 + 148*o**3\/3 + 2092*o**2 + 58208*o\/3 + 92480\/3 = 0.\nAnswer: -68, -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -20*v + 56. Let g be s(-17). Let n be (-2)\/(-4)*1*g\/99. Solve -5*b + 15 = -n*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(1584) - (-1*sqrt(1584) + 2) - sqrt(1584)) + 4))**2.\nAnswer: 432*sqrt(11) + 14292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + 5 + -2 - (-65 + 59)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 - 14*s**2 - 6*s + 2. Calculate d(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1491 or -122\/5?\nAnswer: 2\/1491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 3)\/(18\/77220). Suppose 4*s = x + 1086. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1138.75 + -146.73. Let a = j - 980. Let c = a + -12. Sort c, -4, 0.3.\nAnswer: -4, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - (4 + -32 + (20 - 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 23*d**2 + 22*d + 513. Determine n(-23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 138*y - 6682. Calculate the lowest common multiple of p(74) and 5295.\nAnswer: 10590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*h**4 + 2*h**3 + 406*h**2.\nAnswer: -408*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.9 + -0.1. Let t = -2.3 + 2. Let j = 0.5 + t. Which is the second smallest value? (a) 1 (b) j (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, c: 4, v: 8}. What is prob of sequence vvvp?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, v: 2}. Give prob of picking 3 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 88\/7 in 2\/9, 3\/53, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 133969 (base 12) in base 13?\nAnswer: b173b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 121\/(-77) - ((-17)\/(-7) + -2). What is the nearest to -0.3 in y, -0.02, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5942, -5818, -5692, -5564, -5434?\nAnswer: -5302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: -3888 divided by 6\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 808?\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58800609?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -ccc1 (base 13) to base 4\nAnswer: -12332011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 + 3 + (-18)\/(-28)*1518\/(-483) and -26\/651.\nAnswer: 4557","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 377\/(-65) + (10\/(-5))\/10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**3 + 13*h**2\/2 + 11. Let f be d(4). Suppose 0 = -2*z + 8, -4*y = -9*y + f*z + 94. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 11:38 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 43 (b) 0 (c) 1 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 76 = -3*z, -28*g + 29*g = 2*z - 49. Solve 13*m - 1 = z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 5 + d + d**2 + 19 - 23*d. Let x be v(10). Solve m + 5 = -3*g, 2*g + 16 + 6 = x*m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208184705 and 2264?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16, -63290, 1\/6 in ascending order.\nAnswer: -63290, -3, 1\/6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 3*q**2 - 7*q + 1. Let f be j(-5). Let d = f - -13. Let p = 3.1 + -3. What is the third smallest value in -1\/3, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2313019.\nAnswer: 107, 21617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + 8. Suppose 5*u - 3*z + j = 0, -21 = 3*u + 2*z + 3*z. Let y = u - -20. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrxrrrrxrrr. What is prob of sequence rr?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k*k\/k**(-8\/3)*k)))\/(k\/(k\/((k*k*k*k\/(k\/k**(-4)*k))\/k))*k))\/(k**(-4))**30 assuming k is positive.\nAnswer: k**(386\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6) + 19\/3. Suppose -5*n - x*v - 500994 = -3*v, 4*v + 500992 = -5*n. What is n rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000067304797 to seven decimal places.\nAnswer: -0.0000673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 521197 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 9 + 10 + (4 + 0 - 2)*(-2 + 2 + 1))*((-1 + 0 + 3)*(67 + 90 - 24) + (2 - 1 - 2)*(-1 - 1 + 0))*(-2*n - 2*n + 6*n).\nAnswer: 16616*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-178)\/162)*(-12)\/16?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3\/7*g**5 + 0 + 3\/7*g**4 - 12\/7*g**3 - 12\/7*g**2 + 0*g = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280) + 1*sqrt(280)*4)\/(sqrt(8) + sqrt(8) + -4*sqrt(24)\/sqrt(3)))\/(sqrt(500) + sqrt(500)*1*6 - -2*sqrt(500)*6).\nAnswer: -sqrt(7)\/76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5. Let q = i - 1. Suppose 0 = -u - 5*v + 13, -4*u = -3*v - 1 + 18. What is the third biggest value in -3, q, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454 = -j + 236. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 711\/(-39) + (-476)\/(-49)*(-1001)\/(-572).\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 52?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 89, -94, -835, -2422, -5143?\n\"Answer: -48*p**3 + 9*p**2 + 126*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19226262 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 50, 79, 140, 245, 406?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3307000 rounded to the nearest one hundred thousand?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 276\/10 + 69\/(-115) + -3. Solve -4*k = -v - 3*v + b, 4*v - 21 = k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(sqrt(720) + 1).\nAnswer: 1 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27a - -7e4?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 575 and 850.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 324, 326, 320, 300, 260, 194, 96?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17826)\/(-44565))\/(2\/135).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 8:03 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 13) to base 16\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v**2 + 12*v**2 - 22*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 5. Let r be (20\/(-16))\/(2\/(-8)). Suppose -2*n + 0*w - r*w + 57 = 0, v*w - 9 = n. What is the remainder when 45 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 + 165 = 2*o. Let y = o - 101. Is y a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7532106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1198976 divided by -3712\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, 0.01, 3 in decreasing order.\nAnswer: 88, 3, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-23\/3))**(-6\/19)\/(b*b\/b**(-6)*b)**(-8\/9) assuming b is positive.\nAnswer: b**(198\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -15*x - 340. Determine l(-22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 215 - 203.3. Let m = 13 - f. Let r = m - 1.2. What is the smallest value in 5, 1\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 38 + 24*g + 70 - 33 - 30. Give c(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 390 divided by -3\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172 - -89. Let d = o + 86. Suppose 0 = 5*l + h - 1321, -4*l - d*h + 1060 = h. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1022 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6835313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 = -z, z + 3 - 5 = 5*h. Let i be (z - (-34)\/8)*(-1)\/5. What is the nearest to 6 in i, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**3 + 43*v**2 + 12*v. Let f be o(-14). What is the remainder when ((-1)\/(-2))\/((-2)\/(-276)) is divided by ((-2)\/(-8) - 19\/(-76))*f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 1273?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 63.98715ms?\nAnswer: 0.06398715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46494800 rounded to the nearest 1000000?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13479267.\nAnswer: 3, 109, 41221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 9. Suppose -3*v = -5*v. Let r = -1 + v. Sort w, r, -3.\nAnswer: w, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(-3*sqrt(12) - sqrt(12) - sqrt(12)) + 0.\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 261 + 19652. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-20913)\/(-42) + (-27)\/(-378)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**3\/3 - 2*d**2 - 1. Suppose 9 = j + 5. Let a be z(j). Let c(b) = -b**3 + b**2 - 2. Give c(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13894 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 222 + -222. Suppose -4*t + 381 = -5*m + 1606, t - 5 = f. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4\/5 - 324*i**3\/5 - 10274*i**2\/5 + 230688*i\/5 - 1013888\/5 = 0. What is i?\nAnswer: -89, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24425 + 91021 = 124*s - 128952. Is s a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*t, 163058*v - 163053*v + 150 = -5*t for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1645.\nAnswer: 4\/1645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 9 + 4)*(-m - 2*m**3 + m).\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.0987 plus -57.3?\nAnswer: -39.2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20679)\/(-1469) + (-48)\/(-52). Solve -1141*i = -1146*i - a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, y: 1, l: 2, c: 9}. What is prob of sequence cy?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/4)\/(4\/(-292)) - 2 and -54\/19?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -36 - -40 - 567777\/(-51) - 4\/(-34)?\nAnswer: 7, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13007 - 19187. What is x rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27510408\/7 or 3930059?\nAnswer: 3930059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 66*p**2 + 1\/105*p**7 + 0*p**3 + 0*p**5 - 1\/50*p**6 - 1\/840*p**8 + 2 + 0*p + 0*p**4. Determine f so that q(f) = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0647172 take away 5?\nAnswer: -5.0647172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.985 - -1.885. Let k = -1107637522\/819 + 1352427. Let v = 5\/63 - k. Which is the closest to j? (a) v (b) -5 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628.969 rounded to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p + 57. Give a(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.49.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 - ((53 - 47) + (37 - 42)).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**2 - 296 - 1601 + 14*w**2.\nAnswer: 27*w**2 - 1897","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-10))\/(6\/(-300)). Let g be (f\/15)\/((-2)\/648). What is the remainder when (1\/(-2))\/(18\/g) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/46 in 22.3, 0.22, -2\/11, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*m - 2*t, -2*m + 3*t = 435 - 425. Put 5, m, -4, 7, -27 in descending order.\nAnswer: 7, 5, m, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 7.7. Suppose -5*s + 2*s - 6 = 0. Let h be s - -5 - (-1 - 0). What is the nearest to n in h, -4\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297238311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*x - 0 + 1, -2 = 5*x + 2*d. Suppose 34 + 5 = 13*q. Let o(g) = -g**2 - 7*g - 5. Let p be o(-5). Which is the closest to q? (a) 4 (b) p (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 73 - 857 = 0. Suppose 5*r - m - 134 = 0. What are the prime factors of r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, a: 7, s: 1}. Give prob of sequence asas.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1751, -1754, -1757, -1760, -1763?\nAnswer: -1766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73016120 divided by 2.\nAnswer: 36508060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 376179 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -405.032 and 10.\nAnswer: -4050.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c + 195*c**2 + 25*c - 193*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 3*k. Let s be k\/(-9) + (-22336)\/(-72). Suppose 6*r - s - 1046 = 0. What are the prime factors of r?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791634918?\nAnswer: 2, 3, 131939153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4.019 (b) 4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h + 2. Let t = 376 - 374. Solve 2*l + t = -h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 2*h**2 - 2*h**2 - h. Let o(f) be the first derivative of -13*f**3\/3 - 9*f**2\/2 + 127. Let b(n) = -2*o(n) + 22*y(n). Factor b(c).\nAnswer: 4*c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 848112 + -526678327\/621. Let i = 27\/23 + p. Let k = 0.7 + 0.3. What is the biggest value in 2\/15, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4686\/1704 + (-15 + 10 - (1 + 6))?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14272968 divided by 291\nAnswer: -49048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 11:52 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 33. What is the units digit of 6\/4*20\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456443*h = 453970*h - 54406 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 + 193*n**2 - 33169*n\/4 - 139867.\nAnswer: (n - 53)*(n + 13)*(n + 812)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {w: 1, q: 18}.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b + 6*b = -2*o - 8, 0 = -4*o - 3*b + 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -124854 and -98?\nAnswer: 124756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*b = 91*b + 16359. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o**3 + 4*o**2 + 66*o - 134. Determine l(4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-6)*12\/(-21)*2. Let s = 22 - 34. Is 18\/s + 1954\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 254*t. Let g(i) be the third derivative of -13*i**4\/24 - 11*i**2 - 101*i. Calculate g(j(a)).\nAnswer: -3302*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -441*v*z**4 - 1248*v - 90*z - 3 wrt z.\nAnswer: -1764*v*z**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, -6, 3, -2 in descending order.\nAnswer: 6, 3, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047948683 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -35*s**2. Let q(x) = -4*x**2 + 241*x. What is q(k(j))?\nAnswer: -4900*j**4 - 8435*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2*304\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1*((-288)\/(-12))\/(-12))\/((-72)\/(-15))\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1624, 1626, 1630, 1636, 1644, 1654?\n\"Answer: u**2 - u + 1624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1 - 23 + 10 + 122*k - 128*k - 24. Calculate f(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -34, 2, 3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*j**4 + 6965210*j**3 + 1392998*j**2 - 5850786*j - 2507472 = 0. Calculate j.\nAnswer: -139304, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27246 = -3*a - 4*i, 0 = -a + 3*i + 4221 + 4848. Is 34 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50337.\nAnswer: 3, 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**7\/70 + p**6\/20 + p**5\/20 - p**4\/4 - 3*p**2 - 2. Let c(m) be the second derivative of t(m). Determine v so that c(v) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 32, -2\/5, 5, 0, 2, -76?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 146 - 53. Let s = y + -79. Which is smaller: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67\/27 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24069074*s**3*y**2 + 1860*s**2*y**2 + 53*s*y**2 + 2*s + 17 wrt s?\nAnswer: -144414444*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 93233712 divided by -12716\nAnswer: -7332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.061391333.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 444834613 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293268.\nAnswer: 2, 3, 24439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddsdddddsddddddddd. Give prob of picking 4 d.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -5*c + 100. Suppose 5*g + 3*a = 2*g + 15, -14 = -c*g - a. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 51 = -5*l - s, -3*s - 22 = -2*l. Let r(q) = -82*q + 2. Let u be r(l). What is u rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56738 - -205?\nAnswer: -56533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 137951346 to the power of 1\/2, to the nearest integer?\nAnswer: 11745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgtktg. What is prob of sequence ktg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/2)\/((-2)\/(-8) - 1). Solve u + n = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*m**3 - 85*m**2 + 3 - 75*m**2 - 85*m**2 + 243*m**2 in the form b + k*m**2 + s*m + v*m**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -28 + 27 + -29?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 373*s**2 + 7*s - 13. Is t(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36841, -36835, -36827, -36817?\nAnswer: -36805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -49. Which is the biggest value? (a) 8 (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/26 and 52\/3.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a week in hours?\nAnswer: 4788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1519357 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 171697300813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498252 is divided by 563?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10003323 (base 4) to base 8\nAnswer: -40373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2125.97966 rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.51 + -13.4. Let k = s + 0.89. What is the nearest to -0.3 in -1\/2, 9, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400461?\nAnswer: 3, 29, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(29\/(348\/(-144)))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 50*y**2 - y. Suppose 7*z - 13 = -20. Calculate the remainder when p(z) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by 308.\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, u: 1, w: 2, r: 3, i: 3}. Give prob of sequence iuq.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77 + -27 - 37) + -65 + 1 - 14?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19070958 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 521846099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 2*q - 16, 5*n - 4*q - 22 = 18. Suppose -n*s = -3*s - 15. Factor -5*a**4 + 10*a**4 - 5 - 15*a + 5*a + 10*a**s.\nAnswer: 5*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 2*u**3\/15 - 2*u**2\/5 - 6*u\/5 + 374. Factor s(h).\nAnswer: 2*(h - 3)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-36))\/((-16)\/(-24))*(-17)\/(1887\/18)?\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20 + 30)*13\/2*-1. Let u = -5523\/17 - y. Let o be ((-4)\/(-3))\/(26\/78). What is the smallest value in -0.5, u, 0.4, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200377, -200551, -200725, -200899, -201073?\nAnswer: -201247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4051483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t - 185. Let r = t - 9. Calculate the greatest common divisor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g + 1921 + 1280. Let q = g + 209. Suppose 4*f = 4*p + q, -2*f - 3*p + 7*p + 242 = 0. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 8 = 2*p. Let k = 0 + -0.4. Let q = k + 0.2. Sort q, 1, p in descending order.\nAnswer: p, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/14 (b) -1\/6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + u - 680 = 0, 177 = d - 5*u - 14. Suppose 3*w = 2*z + 4*w - 85, 4*z = -w + d. Let v = 51 - z. Are v and 10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 3428400.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -37, -62, -107, -178, -281, -422?\n\"Answer: -u**3 - u**2 - u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 46 + 8. What is the lowest common multiple of o and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 2. Let p be t(10). Let z = 9 - p. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 7:22 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*(-1*sqrt(187) + sqrt(187) + sqrt(187)) - (sqrt(187) + (sqrt(187) + sqrt(187)*-1 - sqrt(187))*-3 + sqrt(187)))\/((sqrt(110)*-2*6)\/sqrt(10)).\nAnswer: 3 + 5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -586981, -1173981, -1760981, -2347981, -2934981?\n\"Answer: -587000*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from {h: 1, m: 1, g: 1, x: 1, d: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/816 and 49\/2720.\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -17. Let w(s) = -s + 3. Let z be w(u). Let g(c) = 3*c**2 + c - 1. Let f be g(z). Solve -10 = -f*k - 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27.6663 and -966.\nAnswer: -938.3337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -24. Suppose 4*s + p = 18. Let y = s + -3. Which is greater: 1\/35 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.82 * -107807\nAnswer: -196208.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002220321 (base 4) to base 13.\nAnswer: 97315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7998, -7935, -7808, -7617?\nAnswer: -7362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -25 * 19.2\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 9:25 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-380)\/(-1672))\/(5\/(-48)).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)*p**(4\/7))**(-15)*(((p**(-2)\/p)\/p)**(-18))**(49\/2) assuming p is positive.\nAnswer: p**(13233\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1038 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 14*r**2 - 18*r - 17. What is h(13)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 23464912*r**2 - 93859624*r + 93859616.\nAnswer: -2*(r - 11732452)*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11451871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*p**2 + 21*p**2 - 2*p - 3*p**2 - 41*p**2 in the form i*p + n + s*p**2 and give s.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, x: 2, g: 4}. Give prob of sequence gg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/7*f + 0 - 2\/7*f**3 + 12\/7*f**2.\nAnswer: -2*f*(f - 4)*(f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5041858, 5041856, 5041854, 5041852?\nAnswer: 5041850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**5\/20 - o**4 + 2*o**3\/3 - 29*o**2\/2 + 42*o + 2. Determine w(12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.2427157 rounded to 1 decimal place?\nAnswer: 15.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, j: 4, p: 4}. What is prob of picking 2 j?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 42. Suppose 2 = -q + a. What is the remainder when 23 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6) - 232\/264 - (-232)\/22?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179969481257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -25, -0.6, 3, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24354 + 24354.080958. Round v to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.3 - -6. Let z = -19.36 + -6.64. What is the closest to 0 in j, 2\/9, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -2\/7 (c) -2856 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, g: 5, p: 4, n: 1}. What is prob of sequence png?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = -0*b + 936. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/sqrt(20))**2*2 + -4.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -280?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -862782?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*q - 3*u - 19 = 0, 2*u = q - 17. Suppose 16*t - 2172 = q*t. Suppose 4*w + 0*w = t. What is the remainder when w is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5950*t + 7047*t - 112991 for t.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 39 = 23. What is the closest to -6 in 1\/9, -4\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*m - 30, 0 = 5*i + 4*m - 670. Let r = -88 + i. Suppose -3*f - r = -10*f. What is the highest common divisor of f and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -287*a + 7. List the prime factors of f(-1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -4*z + 5. Let g(n) = n**3 - 22*n**2 - 42*n - 2. Calculate the remainder when g(24) is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 250 = -4*g, 4*g + 445 = 5*f + 5*g. Suppose 0 = -4*o + 14*o - f. Suppose 0 = -o*z - 4*z + 6*z. Solve z = -4*p + 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2382857147?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 112663 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4145*x + 139. What is the hundreds digit of w(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvvtqvqttqtvqv. Give prob of sequence vvt.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -109819*k + 101809?\nAnswer: -109819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**(-3\/7))*y**(-6)*(y\/(y*y**2)*y)\/y*(y**(1\/2)*y)\/y*((y*y*y*y**(-3\/7)\/y)\/(y\/y**5))\/(y**3*y\/y**2) assuming y is positive.\nAnswer: y**(-61\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3204111 - -5?\nAnswer: 3204116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 0*x**2 + 1\/110*x**5 + 0 - 1\/33*x**3 + 1\/165*x**6 - 1\/66*x**4 - 19*x. Factor h(y).\nAnswer: 2*y*(y - 1)*(y + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -70*t - 10. Suppose 3*v = 4*i - 35, -i = -3*v + 25 - 63. Let p be x(v). What is p rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110461 + 2982803\/27. Is v at most -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(88*p + 55*p - 37*p) + (-p + 0*p + 2*p)*(3 - 5 + 0).\nAnswer: -108*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -17 * -12.195744\nAnswer: 207.327648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8957667.\nAnswer: 3, 31, 61, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 147018279 a multiple of 1369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + sqrt(125) + (sqrt(125) - (2 + sqrt(125) + -1)) + sqrt(125) - (-2 + sqrt(125)*2))*-3*-2.\nAnswer: 6 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -2, 56, -5, 27 in decreasing order.\nAnswer: 65, 56, 27, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.760062 years in centuries?\nAnswer: 0.01760062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o - 16. Let p be k(6). Let i be (-5)\/(-2)*p\/(-5). Solve 0 = -i*q - 2*q + 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86336, -86342, -86354, -86372, -86396, -86426, -86462?\nAnswer: -86504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -g + 618, 3*p + 4*g - 221 = 696. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 34965220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -14 + 49 - 31*r**2 + 781*r**3 - 392*r**3 + 29*r + 5 - 388*r**3. Let f be h(30). What is the second biggest value in 2\/15, 3\/2, f?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty ninths of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8505\/16 (b) 0.3 (c) -3 (d) 0.052\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 17 + 3 = 0. Suppose 2*u + q*h = 53, -2*u + 0*h + 73 = h. Suppose -o - x + 39 = 3*x, -o + u = -4*x. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 266.\nAnswer: -265.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 8:45 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 120112011?\nAnswer: -120112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13404.9*-0.00569.\nAnswer: -76.273881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than -1\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 251 + -372. Let i = b + 309. Is 47 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1315734 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -859 + 859 + 1054*w**3.\nAnswer: 1054*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j + 2*d = 205, 4461474 = -j - 4*d + 4461477 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 22*h**7\/1365 - 113*h**6\/780 + 77*h**5\/195 - 9*h**4\/52 - 12*h**3\/13 - 7252*h**2. Determine o so that d(o) = 0.\nAnswer: -4\/11, 1, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -357 + 567. Suppose 0*w = -2*w - l. What is the units digit of (0 - 1)*w\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -5 (c) 0.5 (d) 0.096 (e) 3\/4 (f) 244 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*g - 4*g**4 + 13*g)*(g - 2*g - 5*g).\nAnswer: 24*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = 2*f - 24, 73 = 5*f + q. Let r = f - 17. Put 0, 4, r in ascending order.\nAnswer: r, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135 - (3 + 2 - 4)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1254*w + 51382 - 227792 = -516*w + 1976*w for w.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11120 - 5109.\nAnswer: -16229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4631 or 1\/5?\nAnswer: 4631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 521 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 1. Let l(b) = -b. Let d(q) = -7*l(q) + 3*m(q). Let u = 1 - 1. Suppose 5*i + 3*s = s - 16, -2*i - 4*s = u. What is d(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**2. Let z(d) = 7*d**2 + 4 - 4 + d**2. Give g(z(r)).\nAnswer: -256*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 315 by -35.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 19 in decreasing order.\nAnswer: 19, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f - 189. Let d(x) = x + 63. Let j(u) = 7*d(u) + 2*r(u). Let w(m) = -m + 7. Let a(c) = 1. Let g(i) = -14*a(i) + 2*w(i). Calculate g(j(y)).\nAnswer: 2*y - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3007*y + 48132. Calculate n(16).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7620 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: Solve -2*g = -48*z + 53*z - 37, 7 = -z + 2*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3348504 and -77\/3348504.\nAnswer: 3348504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -4) + -14 + 10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/129 + -139\/645. Let a(t) = t**2 - 8*t + 5. Let m be a(5). Let g = m - -28\/3. What is the nearest to g in -1\/8, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9845, -9839, -9833, -9827?\n\"Answer: 6*p - 9851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {u: 4, r: 4, s: 8, i: 2, o: 1}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2967995 and 48675.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(25\/3)*z*z**(-17)*z*z*z**0\/z**5 assuming z is positive.\nAnswer: z**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10780.96217 - -13083.93. Let j = 2303 - l. Round j to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22869 divided by 2?\nAnswer: -22869\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -868\/3 + 6899\/24. Let v = -0.3 + 0.2. Let p = -12313 - -12309. What is the nearest to v in 3, p, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 + 11*q**2 + 6*q + 3. Let c = 121 - 115. Let k be v(c). What is the smallest value in 0.2, k, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + 669389. Let l(o) = o - 11. What is l(u(k))?\nAnswer: -2*k**2 + 669378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53762, -50384, -47004, -43622, -40238, -36852?\nAnswer: -33464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/4)\/(3\/(-128)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/4 - 37*d\/4 - 35\/2.\nAnswer: -(d + 2)*(d + 35)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -132*t + 3835. Determine p(26).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -34 (c) 0.6 (d) -9 (e) -1\/4 (f) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-8 - -6) + -1 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101 by 257213.\nAnswer: -101\/257213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (0 - -6))\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b = -24*b + 462. Let q = -219 + b. Let i = 288 + q. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**3\/6 + 2*n + 10. Let t(g) = 3*g + 2. What is f(t(z))?\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 13830?\nAnswer: 13834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 0*i**5 + 0*i**3 - 1\/3*i**6 - 2 + 0*i - 3\/2*i**2 + 0*i**4. Find the second derivative of k(u) wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 892*y - 6053. Calculate z(7).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -21. Let i(a) = -7*a**2 - 2*a - 1. Calculate i(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26444, 46532, 66620, 86708, 106796, 126884?\n\"Answer: 20088*g + 6356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01448665 to four decimal places.\nAnswer: -0.0145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 7 + -4 - (-60 - -71)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -26?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqb when three letters picked without replacement from qffbuqq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 2 - (8 - (25 + -56)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2164 - 0.194. Put -0.1, -0.3, o in descending order.\nAnswer: o, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 35. Let p be r(-18). Let b be (47 + p)*81\/108. Factor 9*n - 15*n**2 + b*n**2 + 8 - 20*n**2.\nAnswer: (n + 1)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + s - 1. Let i(b) = -9*b**2 - 11*b + 13. Let v(j) = -i(j) - 6*x(j). What is the remainder when v(-6) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -2, 0.01, -0.0475.\nAnswer: -2, -2\/13, -0.0475, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - g**2 + 0*g**2)*(0 + g + 0 - 3 + 3 - 3*g - 4*g + g + g - g - 2*g + 4*g + (-2 + 1 - 1)*(g + 1 - 1) + 3*g - 6*g + g).\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*d + d - 3*d)*(-1 + 0 + 3) + 0*d - 5*d + 3*d + d + 0*d + 0*d + 3*d - 4*d + 0*d)*(114*d**2 - 23*d**2 - 92*d**2 - 6617*d).\nAnswer: -2*d**3 - 13234*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1 + 15\/12)*4 and ((-9)\/5)\/(6\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 19. What is the lowest common multiple of 24 and w(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2342 - -2883. Is -1 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -35\/3 (b) -3\/5 (c) -1\/5 (d) 0.03 (e) -395 (f) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 3*c - 27, 4*v - c + 4 - 20 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519082?\nAnswer: 2, 53, 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*v + 56*v + 16 = 0. Suppose 4*m - 3811 = -3*t, -m - v*t + 2860 = 2*m. List the prime factors of m.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqg when three letters picked without replacement from tgffuqu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8416*c**2*v + 2*c**2 + 146*c + 26913535*v wrt c?\nAnswer: -16832*c*v + 4*c + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/54 and 89\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2458.6 in -4, -0.1, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 37*k + 4679. What is v(57)?\nAnswer: -679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 + 920 = 8*m. What is the remainder when m is divided by 38?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/69 in 2, -5, -0.9, 0.2, 10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1527 = -5*s, -2*s + 0*s + 4*j - 608 = 0. Let b = 333 + s. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -13\/4, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 0*u + 2\/3*u**3 + 136*u**2 - 252 - 17\/4*u**4. What is the second derivative of h(q) wrt q?\nAnswer: -102*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 3*c + 1\/12*c**4 + 1\/3*c**3 + 0 + 0*c**2. Let r be q(0). What is r rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2306, 1100, 39.\nAnswer: -2306, 1, 39, 1100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112010 (base 3) in base 11?\nAnswer: -1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -0.4, 333\/2, 5, 29\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 l, and 2 k when four letters picked without replacement from {g: 6, k: 6, l: 1, m: 1, e: 5}.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*y + 11. Let n = 10 + y. Let s = 4 + -3. Is s greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*t**2 + 2*t - 2*t + 17*t**2.\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 3. Suppose -56*t = w - 52*t - 22, -2*w = -2*t - 14. Determine u(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3282*v - 13. What is the hundreds digit of u(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2)\/(85\/34)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 9:16 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 - 131. Let y(h) = h**2 - h - 3. Let g be y(f). Which is bigger: g or 11\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 245088 by 3.\nAnswer: 81696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13.2 (b) 26 (c) -7 (d) 2 (e) -1\/3 (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, 208, -1, -5, 3.\nAnswer: -5, -1, 3, 158, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*y, -c - 5*y + 21 = -2*c. Let f = c - -22. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 4:15 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -239*a**4 - a**2 + 513*a.\nAnswer: -2868*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 85? (a) 0 (b) -4 (c) 0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1 - 3) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5012196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*g + 16 = 0, -3*x + x = -4*g - 16. Suppose -4*i + 16 = x, 3*a + 4*i - 12 = 2*a. Let b(m) = 2*m**2 + 4*m - 7. What is the units digit of b(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + ((sqrt(102) - (-2*sqrt(102) + sqrt(102)))*-4 - sqrt(102)) - sqrt(102))\/sqrt(6).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4157?\nAnswer: 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 - 4*f - 3. Let t be c(5). Suppose 0 = 4*d + 2*w - t, -4*d + 59 = -4*w + 7. What is the highest common factor of 130 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1029) - 6*(sqrt(1029) - ((sqrt(1029)*1 - sqrt(1029)) + sqrt(1029))))*5)\/(sqrt(3)*-1*4 - 4*sqrt(6)\/sqrt(2)).\nAnswer: -35*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 69448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4693 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2813*s - 10391. Calculate the remainder when d(4) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 6:52 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 341329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cchh when four letters picked without replacement from ccchbhhhchccb.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -2, -30, -5, -1 in descending order.\nAnswer: 20, -1, -2, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.944677164 to four decimal places.\nAnswer: 2.9447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1. Let v(f) = 3*f + 101. Let l(r) = v(r) + 6*z(r). What is the hundreds digit of l(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698086071.\nAnswer: 3, 4793, 16183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 21 - 1)*(1 - 1 - 4*u**4) in the form y*u**3 + g*u**4 + v*u + d*u**2 + p and give g.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 - 16. Suppose -4222*g + 1488 = -4198*g. Let m = o - g. What is the remainder when 53 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16483 + 16581. Let g be (14\/2)\/(2\/4). What is the highest common factor of g and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k = -78*k + 233 + 3149 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - x - 1. Let r be s(-1). Let p(f) = -f**2 + 6*f - 3. Let n be p(r). What is the third derivative of -3*g**6 + 0*g**2 - 2*g**2 + n*g**6 wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-4)\/(-5))\/(-1))\/((-13)\/65). Suppose v*b - 145 = 163. Calculate the greatest common divisor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-2 + -4 - (32 - 45))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aane when four letters picked without replacement from {c: 4, e: 6, n: 3, b: 1, a: 2}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**4 - 2252*w**3 + 54472*w**2 - 362112*w + 309888 = 0.\nAnswer: 1, 12, 538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*y = -203, 4*m + 5*y - 135 - 677 = 0. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p**3 + 154*p**2 - 37*p + 298. Give k(-26).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/(-12) + (-7)\/42. Suppose -d*o - s = s - 21, 5*s = -4*o + 35. Solve 5*z + 7 = -4*l, 3*l + 2 = o*z + 4*l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13352479 divided by -6\nAnswer: -13352479\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -57 divided by -13271\nAnswer: 57\/13271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 231288348*s.\nAnswer: 3*s*(s - 77096116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, -25, 2567 in descending order.\nAnswer: 2567, -1, -8, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from yaynttttnaynyztyzna.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - t**2 - t + 6. Let v be (8 - 2)\/((-4)\/(-8)). Let h = -1 + v. Let d = -11 + h. Calculate q(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 4242 = -908. Let x = u - 328. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + x - 22, 639*x + 18 = -2*i + 643*x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 129927 + 2?\nAnswer: 129929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*((sqrt(117) + 1)**2*-4 - 6*(0 + sqrt(117))) - (-3 + (sqrt(117)*-1 + sqrt(117) - sqrt(117)) - (-4 + 1*sqrt(117)))**2*-5).\nAnswer: -2802 + 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 918516 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2. Let i = 5.89 - -0.11. Let o = 4 - i. Which is the third smallest value? (a) o (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 8*i**2 + 7*i + 7. Let w(m) = -m**3 - 9*m**2 - 8*m - 8. Let o(y) = -3*s(y) - 2*w(y). Does 5 divide o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15058 + 0.0639437.\nAnswer: 15058.0639437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -92, -412, -1048, -2078, -3580, -5632, -8312, -11698?\n\"Answer: -13*w**3 - 80*w**2 + 11*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6*r = -r - 66, 5*h - r = 278. Let f be 114\/14 - 8\/h. What is the common denominator of (-184)\/10*f\/(-32) and -51\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4\/19*b - 2\/19*b**3 + 0 + 2\/19*b**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 - -119. Let n be 1\/w - (-182)\/(-39). Let b(v) = -279*v - 16. Is b(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 828, 1930, 3032, 4134?\n\"Answer: 1102*v - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1 (b) -5 (c) -2\/541\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmjj when four letters picked without replacement from mjjjjjjjjjmmjjjjmjm.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 104 = -3*s. What is the greatest common factor of 52 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2\/77 (c) 0.2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.74 + -0.64. Let o = -289\/6 - -48. What is the second smallest value in y, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27465 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 + 3.03. Let n = 2.52 - j. Let y = 0.02 - n. Sort y, -1\/4, -2.\nAnswer: -2, -1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -12788*x. Let j(d) = d**2. What is n(j(a))?\nAnswer: -12788*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -7 - 0) + -6 - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/804 and 151\/11256.\nAnswer: 11256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**3 + 3573*u - 3573*u.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.37 and -99.\nAnswer: -927.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**5\/2 + 27915*d**4 - 259525611*d**3\/2 - 1039889772*d**2 = 0.\nAnswer: -8, 0, 9309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21396 and 199?\nAnswer: 4257804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/145)\/((-7)\/10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**2 - 7 + w**3 - 4*w**2 + 0*w**2 + 4*w**2 to i*w + j*w**3 + y + f*w**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2. Let v(k) = -38*k**2 - 5*k - 55. Give v(u(j)).\nAnswer: -342*j**4 + 15*j**2 - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19591 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.522 - -0.5218278. What is i rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.6 + 5. Let n = 0.5 + 2.5. Let y = -516 + 511. Which is the fourth biggest value? (a) 0.3 (b) y (c) u (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 608007 and 6613?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161 and 403949?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 211836 by -70612.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 16, -8 in decreasing order.\nAnswer: 16, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 67003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) 3 (b) -0.3 (c) 0.65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 27*v**2 - 20*v - 76. Calculate d(10).\nAnswer: 1424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.12 (b) -2 (c) -9 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l**2 - l - 9. Let i(j) = -j - 14. Let p be i(-20). Suppose 7*s - 6*s = -p. Is u(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**14\/(j*j*j\/j**(2\/23)))\/(j**(2\/67)\/j*((j\/(j\/(j**(-18\/7)*j)))\/j)\/j) assuming j is positive.\nAnswer: j**(168585\/10787)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - -2)\/(((-55)\/20)\/(-11)). Let v = i - 16. Solve 0 = -5*l - 4*a - v, l + l - 3*a = 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -14*w + 10 - 5*w**2 + 15*w**2 - 11*w**2. Let b be h(-6). Which is greater: b or -13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1.3 (c) -2\/7 (d) 0.86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (4 + sqrt(176) + 1 - ((sqrt(176) + -1)*5 - sqrt(176))) + 2)**2.\nAnswer: -288*sqrt(11) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.1, -10, -2256\/35, -4, 0.2, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p - 3*p**3 - 14*p - 4*p**3 + 1 + 4. Let f(q) = 6*q**3 + 5*q - 4. Let s(v) = 5*f(v) + 4*k(v). Find the second derivative of s(j) wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/5 - (-6)\/15. Suppose b = 5*w - 4. Suppose -w*l = -2*t - 14, 3*l - 10 - 16 = 2*t. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2592) + 1 + 1 + 3*((sqrt(2592) - sqrt(2592)*1) + sqrt(2592)) + 0 - (-3 + 1 + sqrt(2592) - (2*sqrt(2592) + 2)))**2.\nAnswer: 2160*sqrt(2) + 64836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 1 - 3 - 7*v**2.\nAnswer: -7*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 16*j**3 - 5*j**2 - 6. Let k be t(7). Let i = 115293\/22 - k. Find the common denominator of (-2)\/5 + (1 - (-676)\/440) and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -44*n**2 - 13\/15*n**6 + 37\/6*n**4 + 19\/10*n**5 - 204*n + 0 + 1\/21*n**7 - 40\/3*n**3. Find b, given that h(b) = 0.\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-135))\/((-70)\/126)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 4*p - 4 + 10, -3*q + 5*p - 14 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1302 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 7*k + 6. Let u be x(5). Let s(w) = 9*w - 10. Let o be s(u). Does 22 divide -1 + 1 + (-2 - o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 620 or 227013?\nAnswer: 620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*b - 2*j - 0, b + 23 = -5*j. Suppose 11 - 8 = i. Let a(z) = -7*z - z**2 - 1 - i*z**2 + 5*z. Determine a(b).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*j**2 + 310*j - 4829 + 24 + j**2.\nAnswer: -5*(j - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1183184126.6 to the nearest 100000.\nAnswer: 1183200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 565, 563, 561, 559, 557?\n\"Answer: -2*r + 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5981948 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -326 + 222. Let o = u - -103.27. Round o to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.586 - 0.086. Let v = -0.3 + 0.2. Let w = 0.9 - v. What is the closest to 1\/3 in w, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4770 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -15*v**2 + 19*v + 29. Calculate b(6).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0 - 1\/30*x**6 + 0*x**5 + 0*x + 0*x**3 + 1\/2*x**4 + 8*x**2. Find the second derivative of h(u) wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12742, -26428, -41060, -56638?\nAnswer: -73162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 17 - (-13 + -15060 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/25)\/((-2)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4226 divided by 5?\nAnswer: 4226\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (-2 - (-3 - 2)). Let j be (4 - 36\/d)*2. Let z = 0 - 0.1. Which is the smallest value? (a) z (b) -0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 + -11 + 8 - (2 - 5). Let i(r) = -4*r + 29. Give i(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 8118?\nAnswer: 113652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 835 divide 58000115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 105*g - 11053. Give v(106).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = 2*t. Let o be 1\/(t - -4) - 1. Suppose o = 5*g - 4*r - 1610770 + 60758, 12 = -4*r. Round g to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32700027 to the nearest integer?\nAnswer: 5718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/4 + (-9400)\/(-4) + 5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -11*k + 4. Determine w(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s - 1 + 0 + 0 + 8 - 5*s**2 - s**3. What is the tens digit of z(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 249664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0035909 rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 - 1. Let z(c) = 4*c - 8 + 9 - c**2 + 0. Calculate the remainder when z(3) is divided by q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.238265 to 0 decimal places.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -36228 times -4\nAnswer: 144912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8081, -8082, -8085, -8090, -8097?\nAnswer: -8106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/(272\/(-120))*-142. Suppose -13*p - j = -14*p. List the prime factors of p.\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7206*n + 43469. Calculate q(-6).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.1, 14\/79, -3\/8, 25, -0.2 in descending order.\nAnswer: 25, 3.1, 14\/79, -0.2, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -588a9?\nAnswer: 588a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejpj. What is prob of picking 1 e and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -50, -193, -336, -479, -622, -765?\n\"Answer: -143*z + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 22.3. What is the second smallest value in -0.1, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 157\nAnswer: 23\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15812 * -3930.\nAnswer: -62141160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 16\/3 - (-2)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 y when four letters picked without replacement from nynnnnnnnnynnny?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -35 - 41*i - 143 + 130 + 2*i**2. What is x(22)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (458 - 526) + (-12 - (-11 - -3)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-10)*(-7280)\/2912\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/2188060 and -85\/218806?\nAnswer: 2188060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1615 and -0.5.\nAnswer: 1614.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21251+20\nAnswer: 21271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22107 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2 - 2 + (-2*p + 5 - 5)*(-3 + 0 + 6) - p - p - p)*(31 + 45 - 26).\nAnswer: -400*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 75*(-24)\/(-220) - (-2)\/(-11). Solve -3*v = 4*f - 11, 2*v + 3*f = -0*v + o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - ((-6 - -23) + -23)) + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 48 = -13*d. Suppose 2*k + 6 = -d*t, 13 = -5*t - 2. Solve 0 = -3*z + 4*x + 18 + 5, 17 = k*z - x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168.4015 take away 12989046?\nAnswer: -12989214.4015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17698677*o**3 + 4*o**2 + 696597.\nAnswer: -106192062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450*n**2 + 3 + 1227*n**2 - 4 - 4.\nAnswer: 1677*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006725765 to five dps.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 56. Let t = 338.2 + -338. Sort -4, s, t in increasing order.\nAnswer: -4, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 + (86 - 86) + 107?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -785, 12, 1, -69 in decreasing order.\nAnswer: 12, 1, -69, -785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22 - -17?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.448 + 6.79. Let o = j - 0.142. Let k = 1.9 + -2. Which is the closest to k? (a) o (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.34 or -2312991?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f + 0*f)*(0 - 3 - 3 - 3*f).\nAnswer: 6*f**2 + 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3126 = -4890. Let t = 3621 + y. What are the prime factors of t?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23156940 and 4815.\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -248\/105 + 34\/15. Suppose 3*x + 3*g + 30 = 6*g, -2*x - 22 = -4*g. Let v be x\/(-2)*4\/(-6). What is the closest to 1 in -0.3, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**37*y\/(y\/y**(1\/26))*y)\/(y**36\/y**(-16\/3)) assuming y is positive.\nAnswer: y**(-257\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(5 - (6 - 2)) + -9. Let m be 116\/(-87)*18\/d. Sort m, 5, 4, -5 in increasing order.\nAnswer: -5, m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-11)\/t*t**45*((t\/t**(4\/5)*t*t)\/t)\/t**(-5\/9) assuming t is positive.\nAnswer: t**(1564\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 2184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1022110212010 (base 3) to base 8\nAnswer: -2523645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1980, 1981, 1984, 1989, 1996?\n\"Answer: b**2 - 2*b + 1981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/31, 2\/11, 4, 3, -3\/4 in descending order.\nAnswer: 4, 3, 2\/11, -1\/31, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 + 0.69. Let h = m + -3.66. Let t = -3 + 2.9. Which is the nearest to -0.1? (a) 0.2 (b) h (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18270 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -111*g**3 - 331*g**2 + 20*g + 56. Calculate o(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000100101111 (base 2) in base 4?\nAnswer: -23010233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 6*d**2 + 28*d - 109. Calculate m(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5)\/w*w**(-3\/5))\/(w**(-1))**(-6\/7))\/((((w**(-2\/7)\/w*w)\/w)\/w**1)\/(w\/(w*(w**(-1)*w)\/w))**37) assuming w is positive.\nAnswer: w**(1114\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/2 + 19\/6. What is the biggest value in -5, -0.5, 0.01, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-24 - (55 + -23) - -9).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.67 + -0.33. What is the nearest to -1 in 2\/23, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, x: 3, d: 6, c: 4}. What is prob of picking 2 x and 2 d?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4778716 divided by -2.\nAnswer: -2389358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*l + 1. Let j be (l - 4) + 19 + (-12)\/(-12). Calculate the highest common factor of 12 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1215) + -6*sqrt(60)\/sqrt(4))\/(3*sqrt(12)\/sqrt(4) - sqrt(33)\/sqrt(99)) + -3.\nAnswer: -45*sqrt(5)\/8 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 352*c**2 - 3*c. Let a(o) = 350944*o**2 - 2992*o. What is -6*a(p) + 5984*q(p)?\nAnswer: 704*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*w - 3. Let r = w - -25. Suppose -r - 162 = -4*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2294.5 and -368\/37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1247568*x**3 + 2*x - 2 - 2*x.\nAnswer: -1247568*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**4\/6 + l**3 + l**2. Let n(g) = -3*g - 5. Let q(j) = -5*b(j) - 6*n(j). Let z(t) = 9*t. What is q(z(x))?\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25236667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1782276?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -229404*d**6 - 2578*d**2 + 4*d - 3.\nAnswer: -27528480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1 - -7) + -1)\/(-12 + 13). Put -4, q, -2 in increasing order.\nAnswer: -4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 t, and 1 y when four letters picked without replacement from utyuyyhty?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**7*r**5)\/(r**1*r**(2\/7)*r))**18 assuming r is positive.\nAnswer: r**(1224\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13\/34 (b) -5859 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10428 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*g - 30, 3*t - 53 = 4*g - 15. Let n = g + 24. Suppose -14 + 44 = 5*c. What is the remainder when n is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a factor of 70319546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**2\/13 + 128*r\/13 - 990\/13 = 0.\nAnswer: 9, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/((-6 - 24) + 29).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202 + -1100122?\nAnswer: -1033320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96*p + 104*p + 180*p)*(3 - 1 + 0).\nAnswer: 376*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3\/1148036 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233 a factor of 48726927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**2 - 2. Let x(o) = -162*o + 621*o - 151*o - 204*o. Determine x(j(s)).\nAnswer: -208*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6909184 by -1576.\nAnswer: 4384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 24 = -36, 18*c - 2*z = 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 174 + 11. What are the prime factors of i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/(2*3\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**5*x + 1252*h**4*x - h**2 + 5*h - 777*x wrt h.\nAnswer: -60*h**3*x + 15024*h**2*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 5*y**2 + 6*y + 3. Suppose -2*h = -4*c + 3 - 15, h = -3*c - 14. Let w be u(c). Let z be 40\/14 - w\/35. Solve -8 = q - z*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 3*q**2 + 3*q - 2. Calculate i(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 42 = 3. Suppose 5*y + x*s - s = 145, 2*s - 37 = -y. Solve -y = 13*r - 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25799690 and 136010.\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 173256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -3, -1 in ascending order.\nAnswer: -3, -1, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-30)*3600\/864.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61.41, 3\/2, -2\/11, -5 in decreasing order.\nAnswer: 3\/2, -2\/11, -5, -61.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*l - 2*t + 58 = -253*l, -4*t = -4*l - 44 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-216)\/(-330))\/(-9))\/(16\/(-88))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + n = -0 - 16, 0 = r + n - 4. Let z = -4 + r. Put z, -3, -2 in decreasing order.\nAnswer: z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 55*x + 433. Calculate a(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3393 - 1614. Let d = -1110 + o. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + r + 214, -r + 2*r = 1. Suppose -i + 3 + s = 0. Let t(k) = k**3 + 5*k**2 - 2*k + 6. What is the remainder when i is divided by t(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12280589*k**3 - 32454940?\nAnswer: 36841767*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/11 - 639*n**3\/11 + 4305*n**2 + 1765225*n.\nAnswer: n*(n - 385)**2*(n + 131)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, z: 6}. What is prob of picking 2 z and 2 c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**38*q*q**(-2\/33))**(3\/22))**49)**(9\/7) assuming q is positive.\nAnswer: q**(41517\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1631*u**3 - 86 - 119*u**3 + 34 + 52.\nAnswer: 1512*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 9:40 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 minus 850.335?\nAnswer: -1026.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 3*f + 25, 54*z = 50*z + 5*f - 53 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-100))\/((54784\/3745)\/(-128)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*u = -441*u + x + 51, -u = 5*x - 33 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*k**3 - 41*k**2 + 41*k**2 + (0*k - k**3 + 0*k)*(-54 + 23 - 43).\nAnswer: 83*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(4 - 3 + 4)*(6*r + 2*r - 4*r).\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2977812 by -82717.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v**3 + 113*v**3 - 16*v**3 - 21*v**3 - 40*v**3 - 18*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcrc when four letters picked without replacement from rcmmrcrr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 7*t**2 - 2*t + 14. Let k be s(7). Solve k = 2*h + 4 + 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - d + 1. Is o(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25244266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdnxwwnnwdnyddond. Give prob of sequence yw.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 111743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -183 + 331. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 1. Let g be l(2). Let a be (2 + (-4 - -2))*g. Suppose -5*z - 2*u - 27 = -4*u, a = 4*z + 5*u + 15. What is the third biggest value in 0.5, z, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -33316, -66811, -100702, -135187, -170464?\n\"Answer: -33*u**3 - 33264*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.19473us to hours.\nAnswer: 0.000000020887425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/5)\/(-1)*25*(-16)\/480?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -407, -818, -1229, -1640, -2051, -2462?\n\"Answer: -411*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3690832 and 902480.\nAnswer: 535170640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(10)*-2 + -1*sqrt(810))\/(sqrt(40)\/(sqrt(64)\/(sqrt(8) - sqrt(32)))).\nAnswer: 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8\/(q*q*q**(-1\/5)))\/(q**(-2\/31)\/q**4) assuming q is positive.\nAnswer: q**(1591\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 247932 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (8 - 6) + -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g = 9. Suppose p - g*p = -8. Let r(v) = 4*v - 20. What is the least common multiple of r(6) and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59918941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 605784186 divided by 428722.\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*sqrt(136)*1)\/((sqrt(8) + -1*sqrt(8) + sqrt(8))*-2) + (-3 + (sqrt(153) - (sqrt(153) + 0)) + 3*(-2*sqrt(170))\/sqrt(10))**2.\nAnswer: 75*sqrt(17)\/2 + 618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 6:20 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2 + sqrt(704)*-1)*-3)**2.\nAnswer: 288*sqrt(11) + 6372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.3 - 0.3. Let x = 320 + -944. Let g = 623.8 + x. What is the fourth biggest value in -0.6, 0, a, g?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h = 2*h - 26 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15 - (-1 + 2)*161\/(-23). Let r = 4.95 - 5. What is the nearest to p in -2\/3, r, 0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.4. Which is the third smallest value? (a) 2 (b) u (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 11*g**3 + 14*g**2 - 3*g + 3. Let w(m) = 7*m**3 + 9*m**2 - 2*m + 2. Calculate -5*k(z) + 8*w(z).\nAnswer: z**3 + 2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 + 2)\/(-7 + 30\/5). Let a be ((-185)\/(-45) - o)\/((-8)\/6). Sort -1\/4, 1\/12, 4, a in ascending order.\nAnswer: -1\/4, 1\/12, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11366364.\nAnswer: 2, 3, 947197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 n, and 1 p when four letters picked without replacement from {n: 2, g: 4, i: 4, m: 1, p: 1, x: 2}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7 = -5*s, 21 = -p + 5*p - 5*s. Let d be (-6)\/((-6)\/(-2)) - -5. Suppose 3*j - d = 2*j. Solve p*a - 4*b - j = b, -7 = -4*a + b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 2*f - 9. What is the remainder when 84 is divided by j(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + o - 5, 6*h - 5*o + 5 = 5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxddkp. Give prob of sequence xddk.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(44) + 1))**2 + ((sqrt(132) - (sqrt(132) + sqrt(132)*2 + sqrt(132) + sqrt(132) - sqrt(132)))\/sqrt(12))**2 + 1.\nAnswer: 144*sqrt(11) + 1720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 274917888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 4515.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, g: 1, y: 1, p: 2, x: 3}. Give prob of sequence wxx.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + z**4 + (6*z**2 - 3*z**2 - z**2)*(z**2 - 4*z**2 + z**2) - z**2 + 2*z**4 + z**2)*(2*z - 4*z + z).\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(-11))\/f)\/f)\/f**(-45)*((f**(5\/9)\/f)\/f)**(-2\/67))**49 assuming f is positive.\nAnswer: f**(1626359\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245453 and 956?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*t + 2118 - 881 = y, t - 4*y = -3 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 31 = -2*p, 26 = -5*g - p + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2e4 (base 16) to base 8\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 4*u + 360. Suppose 56*t - u = 54*t. Let h be (-24)\/(-6) - t\/10. What is the second biggest value in h, 1\/9, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, 0.089, 1?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.38 - 2.62. Suppose -20 = 3*j - 8. What is the closest to -1\/3 in j, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1894\/947)\/((-1)\/(-7))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -24*u - 22. Let n be s(-1). Let r be (0 + 3 + -3)\/(n + -4). Solve 0*h + 2*h - z - 5 = r, 5*z - 2 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 14*b**2 + 16*b - 9. Let d be c(-15). What is the units digit of ((-12)\/d)\/((-2)\/(-132))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377801912 a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most 91\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -267\/8*f - 3\/8*f**2 + 135\/4.\nAnswer: -3*(f - 1)*(f + 90)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 11:23 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5*k = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*g = s + 4, 4*s - 6 = -2*g. Let u(v) = -2*v**2 - 11*v - 7. Let i be u(-5). Suppose 46 + 10 = 4*o. Put s, o, i in decreasing order.\nAnswer: o, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -65052313.\nAnswer: 65052312.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6791, -13839, -20873, -27887, -34875, -41831, -48749, -55623?\nAnswer: -62447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from gxgggxgggggggx.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, b: 5}. What is prob of sequence ibi?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*x**2 + 9*x**2 - 2*x**2 - 30*x**2.\nAnswer: -51*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6480*j + 3245*j + 3241*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198578?\nAnswer: 2, 99289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 10 = -x, -3*t + 6 = 2*x - 13. What is the thousands digit of (1\/2)\/(x\/21424)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m - 650 = -17*m. Solve -40 = 2*n - m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 30.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2, -3*o = -o + 3*a - 286. Suppose f - o = -4*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w + 6*w + 0*w**2 - 2*w**2. Suppose 5*s + 3*h - 44 = 0, s + 2*h - 11 + 5 = 0. Let g(l) = 13 + 3*l**2 - 5*l - 3 - 10. What is s*b(p) + 6*g(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 15 = x + 7*r, 2*x + r = 2. What is the closest to 1 in 0.2, -0.2, x, -3.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -1\/9*j**2 - 8\/27*j**3 + 2 - 1\/27*j**6 + 0*j - 1\/3*j**4 - 8\/45*j**5. Suppose a(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**4 + 457*b**3 - 4*b - 1733. Let f(c) = c**4 - c**3 - 2*c. Let q(p) = -2*f(p) + m(p). What is the derivative of q(y) wrt y?\nAnswer: 8*y**3 + 1377*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-1 - (3 + -6)). Is s - (-52 + (-3 - -1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1428 or 1.21?\nAnswer: 1428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (809\/(-7))\/((-66)\/7). Let x = -115\/6 + m. Let g = 7 + x. What is the second smallest value in g, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1086 = 5*b + 4*f, b - f - 144 = 66. What are the prime factors of b?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l**2 + l**2 + 0*l**2)*(-2*l - 1 + 1) - 165 - 155 + 321 + l**3 - 68*l**2 as b*l + y + m*l**3 + z*l**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3142 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(12\/(-22))*2. Let q = 15 - f. Solve -2*z + q = 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131 (base 6) to base 10\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 11*o - 23. Let q be l(-4). Let k(p) be the second derivative of 1\/21*p**3 + 0 + 1\/70*p**q + 0*p**2 - 5*p + 1\/21*p**4. Factor k(d).\nAnswer: 2*d*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1871592 times -0.8?\nAnswer: -0.14972736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29489848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(4\/11))\/z*z*(z*z**0)\/z*z)\/(z\/(z*z**(-7\/5))*z\/z**(1\/9)) assuming z is positive.\nAnswer: z**(37\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 354.8 + -355. What is the closest to 84\/11 in -5, b, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1236*f**2 + 1189*f**2 + 0.\nAnswer: -47*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (8 - -26)\/(1\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 11*u - 7. Let h be r(3). What is the greatest common divisor of 182 and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6523945863.\nAnswer: 3, 2174648621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-500)\/6*-24*43. Suppose m - h = -m. What is m rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.1 - -12.9. Which is the third smallest value? (a) 2 (b) i (c) -1\/6 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 4:50 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1929685, -1929686, -1929687, -1929688, -1929689?\n\"Answer: -y - 1929684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*p + 171 - 171 as l + w*p and give w.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w = -29*w + 89143 + 298127. What are the prime factors of w?\nAnswer: 3, 5, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x. Let o(v) = v**2 - 4*v - 5. Let s be o(6). Let g(y) = y - 7 + s. Calculate m(g(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 7. Let n be j(-7). Suppose -1 = 2*c + 9, -3*i = -3*c - 15. Suppose i = 5*g - 4*a - 102, -2*g - 2*a + 30 = -n*g. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 4*m + 1698*z = 1696*z - 8, 30 = 5*m + 5*z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -12. Let l(j) = 4 + 3 + 11*j - 18*j**2 + 26*j**2 - v - j**3. Does 6 divide l(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {o: 1, n: 1, j: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1378.71 and 42.405977.\nAnswer: 1421.115977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362 = -178*j - 528 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011100111010 + 100?\nAnswer: 10011100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*h**4 - 814*h**3 + 2*h + 0*h**2 + 405*h**3 + 407*h**3 - h**2 to the form l*h**3 + y*h**2 + b + t*h + r*h**4 and give r.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88751 + -210104. Is -1*4\/(-14) + y\/(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 950, 828, 692, 536, 354, 140, -112?\n\"Answer: -c**3 - c**2 - 112*c + 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l - 753. Calculate p(-81).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 6684?\nAnswer: 6684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -6.8 (c) -45 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 14 = 18. What is the lowest common multiple of 8\/b - 30\/(-8) and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 427.6, -20, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 115, 143, 169, 193, 215, 235?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-121)\/(-22))*5*(0 + 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -13\/89716, -5, 2, -4?\nAnswer: -13\/89716","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2613 - -1) + 10*(-3)\/(-15). Suppose 0 = 14*h - s - 716. What are the prime factors of h?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4171 and 291.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2350277135?\nAnswer: 5, 277, 1696951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/3 - (-56)\/((-32)\/(-4)). Which is the second biggest value? (a) g (b) -324 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -57, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - x = -255, -2*n + 102 = -0*x + 5*x. Calculate the common denominator of 2\/6 - (-88)\/n and -25\/9.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1433, 2865, 4297, 5729, 7161, 8593?\nAnswer: 10025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -131*c**3\/3 - c**2 + 17*c - 178. Find the second derivative of k(i) wrt i.\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1238*(-2)\/3*(-30)\/40. Suppose 2*n + 828 = 4*w, -7*w + 4*w = -2*n - a. Does 24 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 135*g - 132*g = 11, 20 = -5*i + 5*g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - v**2 - 2 + (2 - 2 - 2*v)*(-2*v + 1 - 1) - 2*v**2 + 2*v**2 - v**2 + (2*v + 0*v - v)*(v - 6*v + 3*v) + v**2 + 2 - 2 - 4786*v + 4786*v - 130*v**2.\nAnswer: -129*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -11*h**4\/2 - 2289*h**3 - 475625*h**2\/2 - 1173633*h - 205540 = 0.\nAnswer: -239, -172, -5, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 462067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4020 - 330 - 74 = 226*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 568\/40 - (-80)\/100.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 361, 720, 1079, 1438, 1797?\nAnswer: 2156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -443*d**3 + 891*d**3 - 447*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -v + 7333605, 0 = 76*c - 77*c + 3*v + 1833385. Round c to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -539, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32279519 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 196?\nAnswer: 58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 74321 and 74321 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/5 + 4*l - 12\/5*l**3 + 32\/5*l**2.\nAnswer: -4*(l - 3)*(l + 1)*(3*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*g + 28. Suppose -j - 36 = -3*j. Calculate the highest common factor of j and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1225364*k + 535. Let v(o) = 6884*o + 3. What is 535*v(b) - 3*z(b)?\nAnswer: 6848*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 0*o**4 - 41\/20*o**5 + 5*o - 9*o**2 + 0 + 0*o**3. Differentiate s(n) with respect to n.\nAnswer: -123*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1950.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-54)\/(-9) - (2 - -2). Let t(y) = 4*y - 12. Let l be t(5). Suppose -l = 3*x - 4*h + 2*h, -x = -3*h + 12. Solve d - i*d - 4 = x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: c (base 15) to base 13\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*q + 9 = q, 0 = 2*c - 3*q + 11. Let j be 4\/(8\/234) + 3. Suppose -c*u - 3*u = -j. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**3 - 2*c**3 - c**3)*(37 - 201 - 3)*(-2 - 4 + 5)*(-2*c - 2*c + 5*c).\nAnswer: 334*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/5)\/(2\/530). Suppose 5*u - 4*g = -0*g + 160, t = 4*u + 3*g. Suppose u - 144 = -9*q. Calculate the remainder when 16 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z + 28282 - 27634 = 0 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**2 + 2. Let p(o) = 3*o. What is p(r) - 3*z(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.515 to one dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1659013175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -119*z**2 - 11*z - 24. Let v be h(-10). Let f = 236227\/20 + v. Calculate the common denominator of f and 29\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 1, y: 2, r: 1, a: 2}. Give prob of sequence yay.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 7*a**2 - 7*a + 9. Let z be l(6). Let x(b) = -3 - b**z - b**3 + 2 - 2*b. Let k be x(-1). Solve t - 2 = k*t, -2*o - t = 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + 1 + (sqrt(108) - (sqrt(108)*-4)**2)*6 + -3 + 4).\nAnswer: -108*sqrt(3) + 31092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 38, -2, 24 in descending order.\nAnswer: 38, 24, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -25. Suppose -4*f = -k + 4. Find n such that -3*n**2 + f - 4 + 3*n - 6*n = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 3. Let x = -16 - -5. What is the lowest common multiple of l(x) and (-17)\/(-3) + (-5)\/(-15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*0\/(-73)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.517 - -1.517. What is the nearest to 2\/9 in 1.3, 1\/4, h, -0.09?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3825 is divided by 273.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (116 + 2)*10\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**8\/112 + 9*h**7\/35 + 29*h**6\/40 - 12*h**5\/5 + 7*h**2 + 6*h. Let q(b) = 0. What is b?\nAnswer: -16, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 44 = 10*o, -996*m - 6 = -993*m + 5*o for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11687914?\nAnswer: 2, 7, 281, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**2 - 10*m + 1. Let l be j(-8). What is the remainder when l\/4*32\/3 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 300. Let r(u) = u. Calculate o(r(j)).\nAnswer: j - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**6\/6 + 541*l**5\/5 - 36989*l**4\/2 + 218698*l**3\/3 - 217621*l**2\/2 + 72361*l + 2107. Factor i(d).\nAnswer: -(d - 269)**2*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1064765453?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*(sqrt(7) + 0))*1.\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 7*o**2 + 6*o + 6. Suppose -24 = -3*v - 0*v. Let a be v\/(-20) + 496\/(-10). Let b be 1\/(-4) - a\/8. Determine w(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/72*8*3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3621 (base 7) in base 2?\nAnswer: 10100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5049.161 centuries?\nAnswer: 504916.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -2*j - 0*j. Suppose 2*l - j = 3. Suppose 3*c - l = -2. Solve 3*v - 5 = -c*f, v + 2*f - 9 = -3*f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 9:53 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12535.\nAnswer: 5, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, p: 2}. What is prob of picking 1 p and 3 z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 2 (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1110*k**4 - 15*k**2 + 3 wrt k.\nAnswer: -26640*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1848.1 and -486.\nAnswer: 898176.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d6 - -b?\nAnswer: -1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - 3*r**2)*(150*r**2 + 213*r**2 + 268*r - 79*r**2 - 268*r).\nAnswer: -852*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**2 - 3*s + 3. Let t = 3 - 6. Let a(c) = 5*c**2 + 4*c - 4. Let j(m) = t*a(m) - 4*l(m). Let x(i) = 21*i**2. What is j(x(v))?\nAnswer: 441*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*sqrt(85))\/(sqrt(5) - (-2*sqrt(40))\/sqrt(8)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 28 - (622 + -714)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 283727 or 283726?\nAnswer: 283727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32147041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 55. Suppose z*i - 6*i = 8. Find the third derivative of 3*h**6 - 2*h**2 - 4*h**6 - h**i - 16*h**6 wrt h.\nAnswer: -2040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47906866.16 rounded to the nearest 1000?\nAnswer: 47907000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913266813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.2 (c) -1\/26 (d) 5 (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/99 - (0 - (-262)\/126) and -45\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6322 - 6321. Which is bigger: -374 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide ((9\/(-6))\/(-1))\/(57*10\/4329340)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5 = 21. Calculate the least common multiple of 22 and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9044*j = 9043*j - r + 6, j - 2*r = -6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 - 4594*u + 4594*u + 25*u**4 + 3*u**5 + 2*u**5 - 4*u**5 + (-3 + 5 - 5)*(0*u**5 + 0*u**5 - 2*u**5).\nAnswer: 8*u**5 + 25*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6290 - 6285. Which is the third smallest value? (a) j (b) 0.21 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3787 by -1.\nAnswer: 3787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - o**2 - o + 2. Let i be u(0). Suppose i - 15 = -y. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1118146 (base 10) to base 6.\nAnswer: -35544334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + b - 1 = 8*i, 0 = -5*i - b + 13. Solve j = -4 + i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 18*t + 4. Calculate the lowest common multiple of n(1) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d + 261 = 49*d - 468 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -54\/5 (b) -2 (c) -1 (d) 0 (e) -1.73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -4. Let q be (-1)\/(-1*(-1)\/u). Let a be (-1)\/(1\/(-3))*(-4 - -5). Solve -4*z + a*o + 4 = 0, -3*z - 2*o = -q*o + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186430339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/3)\/(-2) + (-14)\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*b - b. Suppose 2*d - b = r, -5*r + 0*d - 7 = 2*d. Let y be 0\/((-4)\/4) - 6\/r. Solve 5*h = 7*h - y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-112)\/222) - (-10872)\/38052)*-16.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -54\/205 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + 2 - 2)*(2 + 0*x + x + 0) - 130*x**2 + 12*x + 92*x**2 + 36*x**2 + 10 to b*x**2 + f*x + g and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81083 is divided by 1171?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8, 12, -4.6?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -13*c + 88. Determine d(18).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 201 - 90. Suppose -o = 3*g - 150. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 + 148*q**2 + 321*q + 39. Determine v(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111 - -45. Let x be (2\/6)\/((-11)\/f). Find the third derivative of 0*c**5 - 6*c**5 + 3*c**5 - 7*c**5 - 13*c**x wrt c.\nAnswer: -600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 1493 + 153 = 0. Let z(j) = -14*j**2 + 563*j + 282. Let v be z(41). Let a = v - n. List the prime factors of a.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 181.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Let v = r + 0. Suppose -5*d - 15 = 5*x, -3*x - 4*d - 12 = -3. What is the biggest value in x, v, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42265.\nAnswer: 5, 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5351302 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7817689730?\nAnswer: 2, 5, 1499, 521527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - l**2 + l + 93. Is j(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 12. Let i be (v\/7)\/(24\/(-28)). Is i at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1, -13, -2, -0.69?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - x + 211 = -2*x, 430 = 2*f + 2*x. Suppose -2*i - 4*t = -118, 4*i - 38 = -3*t + f. Calculate the remainder when i is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9\/2 + -3. Which is the second biggest value? (a) -5 (b) -1\/6 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1181798*j**2 + 386712*j.\nAnswer: 2363596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 4*h = -605. Suppose 11*j = -0*j + h. Suppose 0 = j*n + 17 - 57. Solve -2*q + n = -k + q, -5*k + 4*q = -4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1282*z - 68848 + 194848 = 118*z for z.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2) - (-567419432)\/16. Let k = -63813716 + c. Round k to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by 14?\nAnswer: -72\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 122172 + -10433\nAnswer: 111739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 25\/4 of a day?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - c + 6*c - 7, z - 5*c + 19 = 0. Suppose -z*v = -v - 35. What is the highest common factor of v and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 15 = -5. Suppose -3 = -b*p + 4*p. What is n in 2\/7*n - 4\/7*n**2 + 2\/7*n**p + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41319934 to the power of 1\/3, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20344 is divided by 6780.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175 and 5180.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-10) + (-44)\/(-8). Let w(i) = i**2 - 12*i + 40. Let m be w(4). Solve -2 = -u*o + m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518269?\nAnswer: 47, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*q = -9, 5*j - 5 + 0 = -5*q. Suppose -j = 3*w - 0*w. Let b(u) = -u**3 - 2*u - 2. Let c(l) = 3*l**3 + 7*l + 7. What is w*c(v) - 7*b(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 2 - 31*l - 5 - 6.\nAnswer: -31*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -251*r - 1436. Let t be v(-6). Calculate the greatest common divisor of 35 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 14 + 8 + 61 - (-1 + -2 - 2)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 - 337*g + 1. Let a(p) = 5*p**2 - 405*p + 1. Let z(x) = -5*a(x) + 6*u(x). Let v = -1 + 4. Determine z(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/622757?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 3*p - 4*p + 3*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -8) + 3 + -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 - 3*i**4 + 3*i**4 + 3*i - 3*i + i**5 + (-3*i**2 + 2*i**2 + 3*i**2)*(0*i + 0*i + i**3).\nAnswer: 2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 62 = -2*x, 22*x + 4*a = -8*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z + 2*p + 4 = 35*z, 11*p = -5*z + 7*p + 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {h: 4, k: 3}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.77105 + -0.34785. Let x = 3.1 + t. Round x to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-53.\nAnswer: 26.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3264 and 26304.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**4 + 33*b**3 - 169*b**2.\nAnswer: -24*b + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1296 (b) 3 (c) 1\/4 (d) -4 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*a - 28*a - 5 + 31 - 4 - 22.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.38 - 0.62. Let a be -1 + 0\/((-4)\/(-2)). What is the nearest to o in a, -0.2, 3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.4, -2, -0.131 in decreasing order.\nAnswer: 0.4, 1\/3, -0.131, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (1 - (-6 + -1 + 10))) + 27 - 12?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 439c4ff + -18?\nAnswer: 439c4e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57502129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 6*p + 1. Let n be r(5). Suppose 0 = -5*x + n + 69. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 25113?\nAnswer: 100452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*m = 16, 2*k + 2*m = 3*k - 6. Is k not equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59364 is divided by 29376.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -1.991.\nAnswer: -9.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 6\/(-2) + -4. Let i = h - -80. Suppose -70*q + i*q - 10 = 0. Calculate the highest common factor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/2 + 18705*w\/2 + 6241158 = 0 for w.\nAnswer: -18012, -693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 49*y**2 - 4*y - 5. Let m(o) = 49*o**2 - 3*o - 4. Let h(i) = 6*m(i) - 5*t(i). Is h(-1) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d - 28. Let p be h(14). Suppose p*z + 10 = z. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -3*a**5\/20 + 7*a**4\/4 + a**3\/6 - 5*a**2\/2 - 2*a - 62. Let y be p(7). Solve -2*i - 20 = y*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v. Let t(l) = -1. Let g(o) = -j(o) - t(o). Differentiate g(a) wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3690 - -5233. Is y a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50112*x**2 + 0*x - 3532*x**2 + 0*x.\nAnswer: 46580*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 32 = 4*u, -2*u + 6*u = v + 32. Suppose 0*z + 2*z = 6. Suppose -2 = -z*x + x. What is the greatest common factor of x and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64.44 - 65. Let x = 1.36 + c. Suppose -2 = -2*n + 4*i, i + 0*i + 3 = 0. Sort 3, n, x in increasing order.\nAnswer: n, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 515, -3, -2, -95, 28 in descending order.\nAnswer: 515, 28, 0, -2, -3, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1228477 or 1228483?\nAnswer: 1228477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-178)\/3 + (-4)\/6. Let h(m) = m**3 + 16*m**2 + 16*m + 22. Let w be h(-15). Is 10 a factor of (-13)\/(182\/r)*w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.4, -3 in descending order.\nAnswer: 0.4, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -567*i**3 - 4*i**2 + 272*i + 4. Let t(s) = 567*s**3 + 5*s**2 - 268*s - 5. Let r(v) = 4*t(v) + 5*z(v). What is the second derivative of r(w) wrt w?\nAnswer: -3402*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.52 (b) 0.1 (c) 1\/3 (d) -6.20503 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41240*f - 2 - 20606*f + 0 - 20552*f.\nAnswer: 82*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50371964 - 50372035.00000608. Let z = g + 71. What is z rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2895 + 2895.7. Let y = -62.8 + 63. What is the nearest to -2 in y, f, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((1 - -5) + (-18 - -7)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p*((p\/p**(-10\/3))\/p)\/p)*p*p)**(-27)\/(p**22\/p**25) assuming p is positive.\nAnswer: p**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/7 - 306036*n\/7 - 612088\/7.\nAnswer: 4*(n - 76511)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, t: 1, j: 1, e: 1, a: 1}. What is prob of picking 1 a and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/93 and -21\/3379.\nAnswer: 10137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350658878 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -296062.7 - -296012.00393. Let o = y - -50.7. What is o rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a hour?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-576 + 576 - 20*s)*(3*s + 0*s - 2*s)*(-4*s + s + 0*s) + (2*s + s - 4*s)*(-3*s**2 + 3*s**2 + 2*s**2).\nAnswer: 58*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-50)\/35 - 3\/(-7). Let j = -3.5 + 3. Suppose 3*m + 20 = -5*t - 14, 4*t + m = -23. Which is the third biggest value? (a) g (b) t (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80736138 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-56)\/(-2) + -2)\/(-12 - -10). Let v be 8\/32*-1 - n\/4. Solve 5*l - 2*l - 32 = -4*s, 3*s - 3 = v*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -52. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) 3\/13 (c) 5 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j + 1. Let o(s) = -3*s - 1. Let v(h) = 4*o(h) + 3*q(h). Let n be v(-1). Suppose -n*z + 0*z = -2. Solve 4*u + u - b = 13, u - b - z = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 3:47 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*v + 8. Let f = -3 + v. Suppose 0 = -m + f - 1. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(120))\/sqrt(3))\/((sqrt(392)\/sqrt(7))\/sqrt(7)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 96000170 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 170, 122, 58, -28, -142?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 6:14 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1060681 by -24667.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1147 + 1260. Suppose -130 = -3*l - i, -l - 3*l - 4*i = -168. Let q = a - l. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354 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: Convert 628761.7 millennia to centuries.\nAnswer: 6287617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194796*t - 194796*t - 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 350466, 700930, 1051394, 1401858, 1752322?\n\"Answer: 350464*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9 - 5 = 0. Let s be 12*f\/2 - 1. Sort -8, s, 4 in ascending order.\nAnswer: -8, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 7754.\nAnswer: 4\/3877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.153957387 to four decimal places.\nAnswer: 0.154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*h - 588 = 231 - 45. Solve 0 = h*v - 20*v + 84 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 25. Let b(s) = 3 - 71*s - w + 68*s + 1 + s**2. Let l be b(3). Solve -l*h = -h + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 195\/8 in -5, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2. Suppose 0 = -7*a + 611 - 415. Let b(s) = 49*s**2. Determine a*j(k) - b(k).\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -9, 0.2, 0.1, -1\/12, 18?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vivvvvivvvvvvvvvvv. Give prob of sequence ivvv.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/23)\/(b\/(b*b*b*b**5*b)))**(-2\/135))**(-2\/107))**(-1\/13) assuming b is positive.\nAnswer: b**(-148\/863811)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 151. Let q(d) = -2016*d. Determine q(s(i)).\nAnswer: -2016*i - 304416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*p + 128 + 31. Solve 0 = -2*a - p*a + 5, 0 = -3*r - 3*a + 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222 (base 5) in base 10?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11208 and 2262.\nAnswer: 4225416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2320)\/32 - -1)*-12*8\/264.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-29 - 16824\/(-72))*(-3)\/(-2). Sort -2\/7, -5, -0.2, j in decreasing order.\nAnswer: j, -0.2, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p + 4*p + 6*p**2)*((-2*p - 2*p + 3*p)*(3*p - 5*p + 0*p) - 4*p**2 + 4*p**2 + 2*p**2) as j*p + t*p**4 + l + m*p**3 + r*p**2 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -12.3. What is the biggest value in x, -8, 4\/5, -2\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 0 + 0*a**2 + 0*a**6 - 11*a + 1\/14*a**7 + 0*a**4 - 3\/20*a**5 + 0*a**3. Factor u(k).\nAnswer: 3*k**3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -24*u + 19*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*v - 10 = 0, 3*z - 22 = -4*v - 3. Suppose 3*w - 39 = -3*k, -5*w - 25 = -z*k + 30. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -11*v - 150. Let a be j(31). Let o = a + 638. Calculate the remainder when o is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -1 - ((0 - 5) + -7 + 18).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3)**(2\/3)\/((p*(p*p**(-3))\/p*p*p)\/(((p*p**(1\/5)*p*p)\/p)\/p*p)) assuming p is positive.\nAnswer: p**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**3 + z**3 + 1 - 2*z**3 + 4*z**2 to d*z + i*z**2 + g + q*z**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a + 98. Let f be m(42). Solve 0 = f*x - 10*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/8756058 and -7\/27?\nAnswer: 78804522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -8*b**3 - b**2 + 10*b + 9. Let g be q(-3). Let k = -92 + g. Let u(f) = 7*f - 94 + k. What is u(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 greater than 87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1432 + -133?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6 = -0*d. Let u(k) = -k**3 - 7*k**2 + 8*k. Let n be u(-8). Let g = d - n. Solve -g*j = -h - 7, h = -4*j - 4 + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 0, -2599834 in ascending order.\nAnswer: -2599834, -22, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-1)*(-11)\/3. Let w be -3 + 4\/m*-62. Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80183334?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3690*a - 765 = -3699*a. What is the remainder when a is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/56210 and 3\/29810?\nAnswer: 15232910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002882 to 7 dps.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3964436 - -3964453.79911. Let i = -17.8 + c. Round i to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/49)\/(h**(3\/8)\/h) assuming h is positive.\nAnswer: h**(261\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 - 17 = 7*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.5 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**5\/4 - 695*d**4\/2 + 102805*d**3\/4 - 199325*d**2 - 1683375*d = 0. What is d?\nAnswer: -5, 0, 15, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - -3 - (5 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, h: 6, k: 3}. What is prob of picking 2 k and 1 h?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 4*j - j**3 + (7*j**2 + 3*j - 3*j)*(2 - 2*j - 2))*(-2 + 4 - 1) + (-15948*j + 15948*j - 72*j**2)*(-2*j + 0*j + 3*j).\nAnswer: -87*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 777*s**2. Let k(l) = -2*l**2. Give z(k(u)).\nAnswer: 3108*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a micrometer in nanometers?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-40))\/(3*3\/9).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w - w)*(-3*w**2 + 3*w**2 + w**4) + (-35*w + 19*w**2 + 35*w)*(3*w - 3*w + 2*w**3).\nAnswer: 39*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 885 less than or equal to -3174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 1:53 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 10*a. Let h(z) = -16169*z. What is c(h(i))?\nAnswer: -161690*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26890, 53949, 81008, 108067, 135126, 162185?\nAnswer: 189244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 s when four letters picked without replacement from mmqmqqqqqmsmq?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20995614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -12. Let v = q - 21. Is 6 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1744 + 1466 = -5*n. Let p = -1162 - n. What is p rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*((-3)\/1)\/((-51)\/(-34))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbh when three letters picked without replacement from {h: 5, b: 8}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 933233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337374.\nAnswer: 2, 3, 18743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.22. Let i = -0.02 - y. Let s be (-4)\/16*-1 + (1 - 1). Which is the closest to s? (a) -0.2 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -3*k**2\/2 + 1. What is the tens digit of l(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7051949 at most as big as -77571426\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -337, -2, -54 in decreasing order.\nAnswer: 2, -1, -2, -54, -337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 13142 + 12992. Let y be (-2 - -14)*(-1)\/(-2). Calculate the greatest common factor of y and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 7*s**3 - 9*s**3 + s**2 + 5*s + 2*s**2 to the form i + z*s**3 + d*s**2 + k*s and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 20 = 3*p. Let i = p + -3. Suppose -i*v - 10328363 = -25128363. What is v rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 340\/4957 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11380986 divided by 11637\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let k**2 + 997594*k + 248798447209 = 0. Calculate k.\nAnswer: -498797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + 7 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/3 (b) 0.1 (c) -1 (d) -6\/299\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 2236 = 130. Let m = g - -425. What is the remainder when m is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15816.\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 42. Calculate the smallest common multiple of c and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.03, 1, 15?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**3\/3 - 4393*h**2\/3 + 18994*h - 61320 = 0.\nAnswer: 6, 7, 4380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 + 28345116*k\/5 - 100430700131682\/5.\nAnswer: -2*(k - 7086279)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 u when four letters picked without replacement from pzznznuzpuupznpzpp?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 - 888559*n\/2 - 444279.\nAnswer: -(n + 1)*(n + 888558)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -12*s + 2. Suppose 11*t - 17*t + 174 = 0. Let k = -7 + t. What is the smallest common multiple of k and r(-3)?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6 - 15*c - 4 - 3. What is the units digit of t(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-290646)\/2706264 - (-2)\/51?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.347? (a) -44585 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 2*x**2 - 4*x**2 + (39 + 51 - 26)*(-3*x**2 + 4*x**2 + 3*x**2) - 5*x**2 + 2*x**2 + 2*x**2.\nAnswer: 253*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-12))\/(8\/(-180)*15\/12).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49698 is divided by 12272?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -153, -183, -237, -327, -465?\n\"Answer: -2*b**3 - 16*b - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 6)*14\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 4. Let g = -3.337 + 5.337. Which is the closest to 1? (a) 0.9 (b) k (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1719.\nAnswer: 4\/1719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -10. Let x(u) be the first derivative of -u**3\/3 - 3*u**2 + 17*u + 24. Let f be x(-8). Solve -2*z - t + f = 0, r*z + t - 3 - 4 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - -0.238.\nAnswer: -5.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(1 - 4 + 1)*(4 + 1 - 1)*(-4*g - 8*g + 8*g)*(-22*g + 7*g + 11*g)*(1 - 1 - 1).\nAnswer: 128*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*10\/(-4) - 1. Let z(q) = q**3 - q + 1. Let d(b) = -5*b**3 + 6*b - 6. What is u*z(p) - d(p)?\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2. Let q(z) = -5*z - 11. What is q(w(l))?\nAnswer: 10*l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1535*w + 3. Is u(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -179 divided by -51461\nAnswer: 179\/51461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4118 is divided by 415?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a - 11. Let q be v(3). Suppose 0 = 2*g + q*g - 774. Suppose -7*k - g = -8*k. What are the prime factors of k?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 11033*a - 14965. Let l(b) = 44112*b - 59860. Let m(u) = 11*i(u) - 3*l(u). Find the first derivative of m(z) wrt z.\nAnswer: -10973","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -2 - (2 + 94). Round q to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 1:41 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w = -125 - 55. Solve -4*h = w, 0 = -3*l + 3*h - 0*h - 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(34)\/sqrt(2) + -4)**2 - (-5 + sqrt(425) + -2).\nAnswer: -5*sqrt(17) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c = 60. Let h(s) = -s**2 + 79*s - 352. Let j be h(5). Calculate the greatest common factor of c and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25b43a (base 14) to base 6\nAnswer: -43500420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 756 + -456. Suppose 0*b = -5*b + r. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*g + 7 = 0, 5*b - 6*g = -3*g + 1. Let h be 16\/(-48)*(1 + b). Suppose 0 = 2*d - h - 2. Solve -2*f - 5 + d = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -1\/60*q**5 + 4\/3*q**3 + 7\/8*q**4 + 0*q + 10*q**2 + 0. Is n(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5135204 is divided by 1283796?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w. Let a(j) = 53*j**2 - 7*j. Let h(v) = -26*v**2 + 3*v. Let n(z) = -3*a(z) - 7*h(z). Calculate n(t(u)).\nAnswer: 92*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2527322 to the power of 1\/2, to the nearest integer?\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 47, 17081, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 125*b**3 - 2*b**2 - 6*b - 4. Give p(-1).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1830 + -1815 + 2 + -2 + 2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -16, 26 = 5*c - 3*c - 2*o. Let m = -17 + 20. Suppose -m*z - 4*a - 12 = -z, -3*z + 2 = 2*a. What is the remainder when c is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -3. Let l(p) = p**3 + 7*p**2 + 7*p - 1. List the prime factors of l(i).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1734 + -1730. Which is the second smallest value? (a) v (b) -15 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 825*i**3 - 415*i**3 - 413*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 + 85*s + 0 - 85*s + 5 in the form g + t*s + i*s**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-1386))\/((-5)\/(-90)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 18 = -n - 13, 4*j = n + 40. Let p(c) = c**2 - c + 1. Let u be p(-3). Let d = u - j. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 7:43 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from {c: 1, u: 1, n: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/12 + -2 - (-18590)\/(-3432))*3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 135172*g**3 + 1 + 135191*g**3 - 24*g**2 + 1 in the form j*g + h + b*g**2 + p*g**3 and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-6)\/7)*5. Let b = -231685 - -231651. Which is bigger: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159220292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -483, -1, -3, 66 in increasing order.\nAnswer: -483, -3, -1, 7, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 970.0522 years in months?\nAnswer: 11640.6264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3642 - -3741. Calculate the highest common factor of h and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/1320*44*2*(-8)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 170 + -127. Calculate the remainder when 167 is divided by u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26, 32, 38?\n\"Answer: 6*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 7) to base 14.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*z**4 + 4*z + 58*z**2 - 5 - 19*z**2 - 37*z**2 to the form w*z**4 + l*z + t*z**3 + r + s*z**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 0.5, 0.4, -0.2, -0.05?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15622.158 - -15609. Let g = x - 0.842. Which is the nearest to 0.1? (a) 4 (b) g (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80*34.3.\nAnswer: -2744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*t - 6*t - 264 = 0, -2*a + 111 = -3*t. What is the greatest common divisor of 204 and a?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34113 by -249.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 444.7518 micrometers in millimeters?\nAnswer: 0.4447518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3368 + -3365. Solve 2*z + 6 = -4*l, -3*l + 2 = -8*z + y*z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-590)\/(-2124))\/(2\/6)*-4*504\/(-1320)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 6*t**2 + 1\/2*t**3 + 23\/2*t = 0. What is t?\nAnswer: -9, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.011 - -0.489. Let k = 8512 + -8512. What is the smallest value in 5.1, k, 4, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 + (-3 - (-3 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1826*t - 115 - 596*t - 610*t - 618*t.\nAnswer: 2*t - 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/60 and -57\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -991 and 92.3?\nAnswer: -91469.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-2)\/(-6)*10\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1776 - 1785. Which is the nearest to -2\/11? (a) i (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -335*d + 244. List the prime factors of s(-15).\nAnswer: 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161 + -38. Suppose x + f - 377 = -o, -498 = -2*x - 4*o. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -451*b + 731 - 1465 + 731 + (2 - 2 - 2*b)*(-3 - 2 + 3) - b - 3*b + 2*b.\nAnswer: -449*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*d - 3*p - 7, -10 = -d - 5*p. Suppose 6 - 22 = -4*u. Suppose w + u*w = 10. Put w, 1\/4, d in increasing order.\nAnswer: 1\/4, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 4\/15*i - 2\/3*i**2 + 14\/15*i**3 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -3, -12.\nAnswer: -12, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 4344*v**2 - 8676*v - 4336.\nAnswer: -4*(v + 1)**2*(v + 1084)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 473 and 4648248.\nAnswer: 199874664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k**2 + k. Let z(v) = -6*v**3 - 33*v**2 - 6*v - 5. Let h(l) = -6*i(l) - z(l). Let b(s) = -5*s**3 + 2*s**2 - 5. Determine -5*b(r) - 4*h(r).\nAnswer: r**3 + 2*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(4\/19)*w)\/(w*w**(1\/13))*(w\/(w**(11\/3)\/w)*w)\/(w\/w**(1\/4)) assuming w is positive.\nAnswer: w**(-2087\/2964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**8\/240 - u**6\/45 - 8*u**3\/3 - 4. Let m(y) be the third derivative of o(y). What is the third derivative of m(x) wrt x?\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 52\/5 of a microsecond?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - (-5)\/(-1)) + 110 + 0.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 8:56 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-96)\/36*(-3)\/2. Suppose 300 = 2*w + 4*y, g*y = -w + y + 145. Let d = -39 - -71. Calculate the highest common divisor of d and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 101721397181 and 12?\nAnswer: 101721397169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 97*g*i**3*z + g*i**3 + 51*g*i**2*z - g*i**2 - 46936*g*i - 5*i**3*z - 1 wrt z?\nAnswer: 97*g*i**3 + 51*g*i**2 - 5*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 372\/380 + (-190)\/(-9025).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + 19?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 15*x**2 + 48*x - 116. What is the remainder when 710 is divided by o(-5)?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5050*i**2*y**3 - 2*i**2*y + 160*i**2 + 2789*i*y**3 - 3*i*y - 110*i + 13*y wrt y.\nAnswer: -30300*i**2*y + 16734*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33\/5 + 31\/5. Let h be (11700\/63)\/10 + -96 + 77. What is the third smallest value in 2, h, u, -0.6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2194054 and 60412?\nAnswer: 2746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, q: 7, x: 2, b: 5}. What is prob of sequence bxh?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (-1*sqrt(4))\/sqrt(2) + (sqrt(2) + sqrt(128) + 2)**2 + 3*(sqrt(2) - sqrt(18))*1.\nAnswer: 30*sqrt(2) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-880)\/132*12\/(-10)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -y - 4*h, 3*h + 33 = 3*y - 0*h. Suppose -j - y + 2 = 0. Which is greater: j or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 10. Let t = -14 + i. Suppose 22*o - 21*o - 33 = t. Solve -5*g = -5*v - 0 - 5, o = 2*v + 5*g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 909*l**2 + 33*l + 37. Is o(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 4. Let m be z(2). Let r(h) = 3*h + 15. Let d be r(m). Let v = 0 - -0.1. Which is the nearest to v? (a) d (b) 2\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 476 = 2*y, 3*b - 829 = -4*y + 569. Suppose 462*h - b*h + 240 = 0. Calculate the remainder when 44 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/11 - 3102622*l\/11 - 846168 = 0. Calculate l.\nAnswer: -1551308, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1. Let o(d) = -8*d**3 - 2*d + 1. Let g be o(l). Let t = -5 - g. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 1712 (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -12462\nAnswer: 1\/4154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 27 = -4*s + 6*w, 0 = -4*s + w + 17. Suppose 5*u - 6 = s*u. Suppose -u*p + 49 = -2*o, -2*o - 18 = -p - 3*o. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b + b)*(3 + 0 - 5 + (2 - 3 + 3)*(3 - 4 + 0) - 1 - 22 + 1).\nAnswer: -52*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065 is divided by 66?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i - 17. Let u be b(-8). Solve -2*v + 2*s = -2, u*v - 4*v + 3 = 5*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + sqrt(162))*-3)**2 - sqrt(162) - (sqrt(162) + 0 + 2 + sqrt(162))) + (-1 + sqrt(162)*-1*1 + sqrt(162) + 5*(sqrt(162) + 1))**2.\nAnswer: -315*sqrt(2) + 5666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 84\/5, -2\/7, 1\/4, 5, -1 in increasing order.\nAnswer: -1, -2\/7, 1\/4, 5, 84\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -44*q + 85. Solve 3*d - 3*b = -0*b + q, 5*d = 3*b + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(13) + -5*(-2 + sqrt(13))))**2*2 + -3.\nAnswer: -1440*sqrt(13) + 5541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4)**(-2\/11)*(((t\/(t**(-1)\/t))\/t)\/t)\/(t*t\/(t\/t**(-2\/3))*t) assuming t is positive.\nAnswer: t**(-35\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 8 - 0)*(-76058)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * 0.07\nAnswer: -0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 4 = -17650*g + 17654*g, -g = -5*d - 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/5, -0.5, 0.124, 0.5, -2 in descending order.\nAnswer: 0.5, 0.124, -0.5, -6\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 16*u - 5. Let b be d(-7). Suppose -3*j + 412 = 4*l - 3*l, 0 = j + 5*l - b. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 1081 = -69*i + 88*i for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94.5 - -35.5. Which is the closest to -0.2? (a) -0.1 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 32, 23, 12, -1, -16?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-20) - (-14)\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 9*s = -30. Let j be -13 + s - (-6)\/2. Suppose j*f - 185 = -5*l + f, 0 = 4*f. What is the remainder when l is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 164 + -116. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 20, -29, 0 in descending order.\nAnswer: 20, 4, 1, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(2) - sqrt(50))*-3 - (sqrt(36)\/(sqrt(12) - (2*sqrt(432) + sqrt(432))))**2.\nAnswer: -3\/289 + 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4269 is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, 1\/5, 56187\/2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/335 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -11*n - 7. Let w(b) = 5*b + 4. Let i(l) = 4*c(l) + 7*w(l). Let g(r) = r. Calculate g(i(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574182 = -1467*u + 1516*u. Is 31 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 11:56 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*sqrt(102) - sqrt(102))\/sqrt(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1567\/61 + 266803\/427. Let j = x - 92569\/154. What is the common denominator of j and -35\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9633463um in kilometers?\nAnswer: 0.0000000009633463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -194 >= -218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1170)\/(-22) + (-4)\/22. Let u = k - 31. Let z be (-49)\/7*(0 - 11) + 0. Calculate the greatest common divisor of u and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -3*u + 1\/6*u**3 + 0 + 0*u**2 + 1\/24*u**4. Factor j(b).\nAnswer: b*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r + 46. Let i be o(-14). Suppose -4*n - 2 + 22 = 0. Put -2, n, i in increasing order.\nAnswer: -2, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*-3*(-9)\/12. Let r(p) = p**3 + 9*p**2 - p - 1. What is the units digit of r(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 3*h**2 + 2*h - 4. Suppose -7 = -3*t + 5. Give u(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -94, -193, -292?\n\"Answer: -99*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/10 + 0)\/(3\/(-15)). Let j be (z - -3) + 238 - 2. Suppose -2*q - l = -j, 4*l - 235 = -2*q + l. List the prime factors of q.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/151056 and -13\/21.\nAnswer: 1057392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*k - 223*k - 14 = 0. Let w(l) = -l**3 + 8*l**2 - 10*l - 1. Let g be w(7). Which is the nearest to -1\/4? (a) k (b) -4\/7 (c) g (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, k: 4}. What is prob of sequence bbk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*o = 3*y - 2, 0 = 2*y + 2*o + 12. Which is the second biggest value? (a) 5 (b) y (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 66?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + l**2 + (5 - 3 + 0)*(l**2 + 2 - 2) + 0 + 0 + 2*l**2 + (-1 + 2 + 0)*(2*l - 4*l + l)*(-l - 2 + 2).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -248335\/9 + 27550. Is i bigger than -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34856.75 to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41443 or 0.147?\nAnswer: 0.147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 15*o**2 + 14*o + 2. Give y(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1899 = j, 5*j + 5765 - 15336 = p. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((0 - -7) + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(380)\/(sqrt(50)\/sqrt(5)))\/(sqrt(18)\/(sqrt(9)*-1)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-4 + -1 - 2) + 10 + -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11995 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1160)\/(-12) - 6*-1) + 12\/9. What is the highest common factor of o and 2795?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8544.023nm?\nAnswer: 0.000008544023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 670 + -14075\/21. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36*-4*9\/108)\/1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 310 - 216. What is k rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 m, and 1 h when four letters picked without replacement from uhummuuee.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2123\/540 or 3?\nAnswer: 2123\/540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/7 - 1 - (-4304)\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 6*m + 13 = 3*i, -4*m + 16 = 4*i. Suppose -i*q - 64 = -859. Is 53 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*i. Let q = -1406 + 1405.948. Do q and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -34, -1270, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 130012?\nAnswer: 130010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 15 - 14)*(3 - 2*c**2 - 3).\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -34. Let o be 6\/(-8)*8\/(-3)*17. Put o, -3, q in decreasing order.\nAnswer: o, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -395 or -425?\nAnswer: -425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*g - 20, -4 = 175*g - 180*g - 4*a. Solve 0 = g*q - 137 + 145 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - ((-1 - 8) + 2 + 18 + 71).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - b - 2. Let l be z(0). Are l and -0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 0 + sqrt(325) - sqrt(325) - sqrt(325))*3)**2*-4 - ((-1 + (sqrt(325) - 1*sqrt(325))*-6 + sqrt(325))*-3)**2.\nAnswer: -14778 - 630*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 + 8*s + 14. Let c(f) = f**2 + 3*f + 5. Let a(i) = 17*c(i) - 6*g(i). Let m be a(6). Let b = m + 24. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/177 or -3?\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/483 and -137\/126?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3448c5 (base 13) to base 12.\nAnswer: -4b8820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155874 divided by -25979.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2941293*j**2 + 1993333*j?\nAnswer: 5882586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 2:30 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + (5 + -17)\/6. Let -1\/3 + 5\/6*u + 1\/6*u**l - 2\/3*u**2 = 0. What is u?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -100*b**3\/3 + 901*b**2\/2 + 950*b. What is the first derivative of c(k) wrt k?\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123931707.\nAnswer: 3, 31, 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18742896?\nAnswer: 2, 3, 73, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Express -1739*l**2 - 4911*l**2 - 5817*l**2 in the form o*l + p*l**2 + s and give p.\nAnswer: -12467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 202933 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -354719937*a**3 + 305062329?\nAnswer: -1064159811*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**8\/112 - 31*s**7\/70 - 51*s**6\/8 - 45*s**5\/4 + 4*s**2 + 53. Let h(z) = 0. What is z?\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8807 is divided by 448?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.3 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-1 - (1 + -4)). Let z be (u\/1)\/(-4 - -3). List the prime factors of 2966\/22 + z - (-10)\/55.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*i + i**2 + 11*i - 613*i**3 + 3*i - 179 + 8*i wrt i.\nAnswer: -3678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 255 (c) 668\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 6)*(-36)\/27?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 4, 0.4, 8\/5, -0.3, 5, 12.\nAnswer: -1\/3, -0.3, 0.4, 8\/5, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -7 + (17 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31963, 32244, 32525?\nAnswer: 32806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 30 = -5*i, 7 = -5*p - i + 13 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 824*j**2 - 4*j - 20. Let z(g) = -275*g**2 + g + 6. What is -2*x(o) - 7*z(o)?\nAnswer: 277*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 382121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 - 2*w + w**3 - 3*w - w**2 + 3. Is n(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1655025 (base 9) to base 2\nAnswer: 11100001001001100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/42 + (3\/(-1) - -3) and 47\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + 7ab?\nAnswer: 7bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10717357*v + 9459680 wrt v?\nAnswer: 10717357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(9)\/(-2*(sqrt(108) - sqrt(3))) + 2.\nAnswer: -sqrt(3)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcc when three letters picked without replacement from cgccgcccgcgcgcccgcc.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 11 + 8)*(0*r**5 + 3*r**5 - r**5) + 0*r**5 - 2*r**5 + 4*r**5 + (-3*r**2 + 4*r**2 + 0*r**2)*(-5*r**3 - 30*r + 30*r).\nAnswer: 5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465788?\nAnswer: 2, 116447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 693\/108)*((-1)\/(-126) - (-2)\/(-9))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - a + 4631 = 5*i, -4634 = -2*i + 2*a. What are the prime factors of i?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -133288 and -4.\nAnswer: 533152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**3 - 14*l**2 + l**2 - 5*l**3 - 18*l**2 + 34*l + 27. Let k be n(30). Is 148 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 13 - 22. Suppose 3*k + 9 = 4*s, 2*k + 10 - j = 3*s. Which is greater: k or 2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 32198.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 1:06 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*k = 201*k + 115. Let v(b) = -5*b + 6. Give v(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 11*j**2 + 27*j - 24. Let m be d(8). Solve m*x - 9*x - 18 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 + 6 - 7 + 2*t**2 to l*t**2 + q + k*t and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7373.1 take away -1010?\nAnswer: -6363.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 283227?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (14 - (-9 - 3)) + -13\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-1))\/12*1*15868 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**4\/24 + 11*z**3\/6 - 8*z**2. Let i be n(-7). Suppose 0 = -0*y - 3*y + 9. Solve -i = -5*w + y*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2733 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o - n = 10, -3*o + 5*n + 28 = 0. Let j be o*(-2 + -1) - -3. Solve -5*z + 13 = t, j*t + 5*t = -4*z + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -171, 0.4, 3\/77, -5, 2\/9, -2 in increasing order.\nAnswer: -171, -5, -2, 3\/77, 2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z**2 - 77*z + 24. What is w(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -841 - -805.1. Let t = c + 36. What is the third smallest value in t, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84614151 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.3 (c) -0.11 (d) -99\/362\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 - 85. Suppose -2*f + 3*f - 51 = -y, k = 5*f - 2*y - 220. What is the remainder when f is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u - 21. Let c be 140\/(-32) + 4 + 691\/8. Let y = -91 + c. Let p be l(y). Let d(i) = -i - 2. Give d(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 563, 1313, 2623, 4679?\nAnswer: 7667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5227, 5233, 5229, 5209, 5167?\nAnswer: 5097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 20 + 20. Which is smaller: -4\/7 or l?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28673 + -28677. Let y(n) = -2*n**2 - 2*n + 9. Determine y(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*w + 9 + 5, 2*y - 10 = 4*w. Find the third derivative of n**y - n**2 + 0*n**3 - 4*n**3 + 0*n**2 wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7081 = b, -z + b = -2019 + 248. What is the highest common factor of z and 180?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/5 - 34\/(-10). Solve -w*n + 2*g = -5*n + 3, 0 = -n + 2*g + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - l + 1 = -2*b - 9, -20*l + 8 = 3*b - 7*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9565961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1\/692307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -43 + 3. List the prime factors of 2\/1 + k + -2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 76*h**2 - 14 - 10*h + 15 + 19 - 75*h**2. What is the units digit of z(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s**4 - 268692080*s**3 - 1504071896896164*s**2 - 4010856212332080*s + 1504071180384048 = 0.\nAnswer: -11195502, -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 35515034*a + 1 - 3 - 35515033*a + 1.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 1. Let a(f) = -f**2 - f + 1. Let h(y) = a(y) - k(y). Let r(i) = 20*i**2. Calculate r(h(w)).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*m - 24 = 0. Let j be 26\/m + 1\/(-3). What is the second derivative of a - 3*a**3 + a**3 - j*a wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*z - 73*z - 57*z as r*z + v and give r.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*w + 31*w - 115*w to the form n + l*w and give l.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 25, 26, 27, 28, 29?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 4*h**6\/15 + h**5\/5 - 177*h. Factor z(m).\nAnswer: 4*m**3*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -356 - -247. Let u = 108.6708 - -0.1292. Let l = p + u. Sort 0.2, -2\/47, 0, l in decreasing order.\nAnswer: 0.2, 0, -2\/47, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + i**2. Let c be u(1). Let d(n) = -11*n**3 + 1 - 24*n**3 + 0*n**3 + c*n + 2*n**2 - 2*n**3. What is the remainder when d(-1) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 8286.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/25)\/((-12)\/390)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3264 + -ce?\nAnswer: 3196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 636 + -1a5?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 6*z**2 - 6*z + 2. Let u be x(5). Let v be ((-1)\/(-2))\/(2\/16). Let l be (-1)\/((-10)\/v - -2). Sort -0.2, u, l in decreasing order.\nAnswer: l, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1 - 1 + r**2 + 6 - 4*r. Let v be -1 + 4 + -15 + 15. Suppose c - 2*y = -1, v*y = -3*c - 3 + 18. What is z(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2380 divided by 4\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0153 - -169.0153. What is the smallest value in 0.4, m, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -9. Let w = -52.39 - -0.39. Let k = w + 51.9. Which is the biggest value? (a) k (b) l (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -2\/40341 (c) -1.5 (d) 0.5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 308*i**2 + 302*i + 612.\nAnswer: 2*(i - 153)*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -10*y - 99. Let p be z(-12). Suppose -25*u + p*u + 1624 = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51546)\/2904*(-2)\/142.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -3384a68?\nAnswer: -3384a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1727.445 - -1722. What is m rounded to 1 dp?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9*u**2 + 2*u + 3. List the prime factors of d(-2).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*183*-4*12\/(-192)*124\/(-93)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 28 = -7*m + 12*m, -4*h + 22 = -5*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**4 - 1488*u**3 - 102060*u**2 - 2025200*u - 3654000 = 0. What is u?\nAnswer: -290, -45, -35, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**4 + 1. Let a(v) = 45*v**4 - 24*v**3 - 189*v**2 + 96*v - 9. Let x(r) = a(r) - 3*u(r). Suppose x(w) = 0. What is w?\nAnswer: -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 605 and ((-432)\/324)\/(((-16)\/(-66))\/(-2))?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 6*h + 4. Suppose 0*k - 18 = 3*k. Let v be n(k). Let x(l) = 6*l**2 + l**3 + 4*l**2 + 0*l - 14*l**2 + 2 - l. What is x(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(1216) + 0 - (-2 + (sqrt(1216) - (-2 + sqrt(1216) + sqrt(1216) - sqrt(1216))) - sqrt(1216))))**2.\nAnswer: -288*sqrt(19) + 43785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1113366*x**2. Let g(j) = -395*j**2 - 2. What is g(b(o))?\nAnswer: -489635620732620*o**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28513\/84 + 2223\/28. Let x = 416 - s. What is the common denominator of x and 71\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100 - -122100220?\nAnswer: 122102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from grywygrwwwwwwwwwgwr?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25131*y - 49967*y - 4480 = -24976*y for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**5\/60 - t**4\/8 - 4*t**3\/3 + 4*t. Let r(s) be the second derivative of q(s). What is r(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -2*b + 8, b + 3*q + 4 = -0*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605747811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5808 + 5647. Which is the second biggest value? (a) w (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100010111000 + -101100001100?\nAnswer: -101001111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*d**3 - 3*d - 185 wrt d?\nAnswer: -51*d**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3707*a - 1573 + 368566 = 0 for a.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*t = 231 + 220, -3*t + 600 = 4*l. Suppose 55 = 5*r - 30. What is the greatest common divisor of l and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75899 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdaa when four letters picked without replacement from hakkhaaknakakda?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3580 + r + 5221 + 4831 to the form h*r + b and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -26331.27 rounded to the nearest ten?\nAnswer: -26330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9582 - -19153\/2. Calculate the common denominator of -89\/4112 and n.\nAnswer: 4112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19\/(-1) + (-142 - -164). Solve 0 = -3*j - 9*n - 27, -5*n = -l*j - 4*n - 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a centimeter in millimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 8.13656\nAnswer: 40.6828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8125568 and 398?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 8*j - 1\/20*j**5 + 3*j**2 - 1\/6*j**4 + 5\/6*j**3 + 0. Suppose z(k) = 0. Calculate k.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 + 397356782.\nAnswer: 397356781.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 4*h**2 - 15 + 45190*h + 45174*h - 90364*h.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 6. Let d be 61*q\/3*1. Let p = 60 - d. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602.8971s in milliseconds?\nAnswer: 602897.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -675*v**3 - 107*v**2 - v wrt v.\nAnswer: -4050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s - 24*s - 1932 = 0. What are the prime factors of s?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 13756341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 187309 - 33290 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-59010)\/1686 - 28\/(1 + 3)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 2*m + 0*m + 3 - m**2 - m. Let b be n(3). Suppose 2*p = 3 + b. What is the lowest common multiple of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -3507?\nAnswer: 3510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - 12*n - 19*n + 126*n**2 + 30*n to f*n**2 + a*n + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -2. Let d = -0.1 + 0. Let f be ((0 - 1) + 0)\/5. Which is the closest to d? (a) p (b) -0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134872, 539390, 1213586, 2157460?\nAnswer: 3371012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.89132 and 12?\nAnswer: 10.10868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -16320*q**2 + 8 + 5*q + 2*q - 4125*q**2 + 12. Let c = 33 - 18. Let v be g(c). What is v rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-171*n - 29 + 34 - 7)*(3 - 2 + 6) to b*n + l and give b.\nAnswer: -1197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 109*u**5\/60 + 81*u**2. Let i(j) = -j. What is n(i(a))?\nAnswer: 109*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3283, 25713, 86601, 205177, 400671, 692313?\nAnswer: 1099333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + 0*v + 2*v)*(-20*v + 99*v + 5*v) - 3*v**2 + 2*v**2 - v**2 in the form c + r*v + b*v**2 and give b.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.5 + 4. Let u(w) = w - 8. Let j be u(6). Let h = -0.275 - 0.025. What is the nearest to h in 1\/4, j, d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*t**3 + 0*t - 6*t + 5*t + 2*t**2 - t in the form w*t**2 + u + o*t + h*t**3 and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/12*4*7\/(-327)*396\/(-462)?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138*p**3 + 82*p**2 wrt p.\nAnswer: -828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 130199, 130198, 130197, 130196, 130195, 130194?\n\"Answer: -f + 130200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, a: 17}. Give prob of picking 2 u and 1 a.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 32*y - 18*y**2 - 9.\nAnswer: -18*y**2 + 32*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 + x - 2. Let l(g) = -g**2. What is -4*l(z) + v(z)?\nAnswer: z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**37\/f)\/f**(-2\/55))\/((f*f**(-2\/37))\/(f*f**(-27)\/f*f)))**(2\/99) assuming f is positive.\nAnswer: f**(36998\/201465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 7*n - 11*n + n - 5 + 6 + n + (2*n - 6*n + 2*n)*(0 + 4 - 2) in the form q + k*n and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 62, 99?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a + 30. What is the units digit of x(24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 87330*r**3 + 5023*r**2 - 43654*r**3 - 43673*r**3 to t*r + n*r**3 + m + x*r**2 and give x.\nAnswer: 5023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24054 - -24070. Solve -11*l - v = 50 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145 + 42. Let o = t - 187.0217. Round o to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 26*j + 6. Let x = 69 + -71. Let m(h) = -5*h - 1. Determine x*o(r) - 11*m(r).\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*3\/(-15))\/((-14)\/(-105))*1235\/114.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21410*i*t**3 - 2*i*t**2 + 20*i*t + 2*i - 31*t**5 - 23*t - 244 wrt t.\nAnswer: 128460*i*t - 4*i - 620*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -242 + 4601\/19. Let m = -13\/38 - t. Let v = -0.05 + 0.15. What is the nearest to v in m, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -212 + -57. Sort p, -4, 3 in increasing order.\nAnswer: p, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417976733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 102 = -248. Suppose -i*p = -260034 - 2582466. What is p rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121104869, -242209742, -363314615, -484419488, -605524361?\nAnswer: -726629234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**1)\/x*x*x*x**8)**(1\/4)\/((x\/x**(-1\/2)*x)**(-3\/16)*((x**(-3)\/x)\/x)\/(x**5\/x)) assuming x is positive.\nAnswer: x**(399\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by -299?\nAnswer: 45\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13957 is divided by 449.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4718*o. Let g(z) = -105730380*z. Calculate -44821*d(f) + 2*g(f).\nAnswer: 4718*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(11) - -2*sqrt(11))**2)*5 - (-2 + sqrt(11) + -1 - (sqrt(99) - (2*sqrt(99) + sqrt(99)))\/sqrt(9)).\nAnswer: -3*sqrt(11) + 523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5501935661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -114*y. Let a be f(-5). Suppose -a = -5*u - 5*h + 470, 4*u = -3*h + 835. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -1 - (20\/(-5) - -1). Suppose -2 = -q*g + 7. Suppose -g*b = -28 - 11. Calculate the remainder when 45 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.633 to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 371.5 + -367.5. What is the closest to -1.1 in 1, v, -0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7260147.\nAnswer: 3, 19, 42457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.88 and -0.493?\nAnswer: -1.41984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23850*y**5 - 4*y**2 + 9032?\nAnswer: 1431000*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k**2 - 5*k - 4. Let l(f) = -f. Let o(c) = c**2 + c - 1. Let w(m) = -2*l(m) - o(m). Give n(a) + 4*w(a).\nAnswer: a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 267291.691 to the nearest 1000.\nAnswer: 267000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 17*k**2 - 4 + 19*k**2 + 14*k**2.\nAnswer: 16*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -26d (base 16) in base 6?\nAnswer: -2513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57407478 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -435974 - 1664026. What is f rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r**2 - 6*r + 1. Suppose 282*o = 44 - 326. Calculate k(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153224368.\nAnswer: 2, 11, 870593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -107767 (b) 0.5 (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 7*n - 2. Give r(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytkkifv. What is prob of picking 1 t, 1 y, and 2 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -491.485755469 take away -0.048?\nAnswer: -491.437755469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1389 from -98949324.\nAnswer: -98947935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -3*a + 8 - 25, -4*n = 2*a + 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.2 + -9.2. Let o = 0 - 0.5. What is the third smallest value in k, -23, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2048 * 46.3.\nAnswer: -94822.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v - 6*v + 7*v + 11 + 4*v. Determine b(11).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c - 6. Let s(x) = -8*x - 6. Let p(i) = 6*a(i) - 5*s(i). Let f = 2416 + -2423. Determine p(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + h - h)*(-185*h**3 - 162*h**3 - 123*h**3).\nAnswer: 940*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from vtuuuvutsuvgfutfugg?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + 11. What is the remainder when f is divided by (-158)\/(-14) + 4\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpo when three letters picked without replacement from {m: 2, p: 1, o: 3, l: 1, d: 5}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2380, 2499, 2698, 2977, 3336, 3775?\n\"Answer: 40*x**2 - x + 2341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) -0.2 (c) 1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-15) + -3 + 0.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4*36\/(-20)*(-8)\/24*90\/6\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/148290 and -83\/36?\nAnswer: 889740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k = 16*k - 13. Let l(r) = -r**3 + 5*r**2 - 11*r + 10. Let s be l(2). Let b be (15\/(-3) + 1)*1. Put k, 3, b, s in descending order.\nAnswer: 3, s, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 27 = -20*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*v - 6*v - 52 = 0, -5*p + v - 36 = 0. Let u be (p\/(-12)*3)\/(2\/2). Factor -t**u + 19*t - 117 + 7*t - 27 - 25.\nAnswer: -(t - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10408 bigger than -10407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3735583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w - 1319. Let f(j) = -49165*j. Give f(d(l)).\nAnswer: -98330*l + 64848635","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1532 - -5?\nAnswer: 1537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13100*l - 46510 wrt l.\nAnswer: 13100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/702 and -103\/5314140.\nAnswer: 5314140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42.82185 - 42.90185014. Let z = 4.92 - 5. Let v = z - h. Round v to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2228e8 (base 15) to base 8.\nAnswer: -6155140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 12:48 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**4 + 68*f**3 + 704*f**2 - 768*f = 0.\nAnswer: -8, 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 x when four letters picked without replacement from xjxxjxjx?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -0*n - 3*n - 28, 2*n + 3*j - 13 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 21*y - 306. Let q be t(34). Calculate the greatest common divisor of 24 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1, -0.01, -14, 0.4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) 21 (c) 2\/9 (d) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 3 = -24*j. Suppose x + j*h - 161 = 0, 4*h = -11 + 31. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 79 = 2*o - 25, -4*o - 12 = 0. Suppose -276 + j = -2*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 - 113*x + 2098. Determine c(30).\nAnswer: -3992","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 819034.8t?\nAnswer: 819034800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002020102 - -1111220?\nAnswer: 1010202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -38829401.\nAnswer: -38829401.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -353\nAnswer: -1765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1183 and 45\/26.\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 4527*a**2 - 5050262*a.\nAnswer: -a*(a - 2534)*(a - 1993)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 242*y**4 - 489.\nAnswer: 968*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 256206\/12 - ((-65)\/(-10) - 4). What is t rounded to the nearest one hundred?\nAnswer: 21300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-20) + ((-49728)\/(-70))\/(-32)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3045*b - 8048*b - 6053*b to the form l*b + z and give l.\nAnswer: -17146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -717 - -2860. What are the prime factors of q?\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.00642\nAnswer: -0.02568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + 25*x + 2 - 9*x - 18*x. Let v(c) = 3*c + 14. Let k(l) = -l - 5. Let p(r) = -17*k(r) - 6*v(r). Suppose -2*t = -4*t - 4. What is t*p(j) + w(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98175345.\nAnswer: 3, 5, 53, 123491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08745 minus -0.08?\nAnswer: -0.00745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 56 (c) 3\/263 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1943847716.\nAnswer: 2, 53, 61, 83, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 109, 222, 343, 478, 633?\n\"Answer: k**3 - 2*k**2 + 112*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 5*r**2 + 3*r. Let j be p(3). Let g(i) = 196*i + 985. Let h(a) = 12*a + 61. Let q(y) = 2*g(y) - 33*h(y). Give q(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1465, -1464, -1463?\n\"Answer: i - 1466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1527*m**3 - 2*m + 3284.\nAnswer: -9162*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111968374?\nAnswer: 2, 7, 7997741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - 53.8. What is the closest to z in -13, 1\/7, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**7\/4200 + u**6\/900 - u**5\/600 - u**4\/60 - 19*u**3\/6 - 6*u**2. Let k(h) be the first derivative of b(h). Factor k(y).\nAnswer: (y - 1)*(y + 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 5. Let t be v(-3). Let d(o) = 2*o**t + 3*o**2 + 7*o**2. Let a(k) = k**2. What is a(d(n))?\nAnswer: 144*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**2 + 3*s**2 + 0*s**2)*(824 + 759 + 2654) in the form l + a*s**2 + z*s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (125\/(-30) + 5)*(-96)\/60*3540\/320?\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*q - 5*t - 12, 5*q - 161 = -2*t. Suppose -5*c = -5*h + 15, 5*c - q = -3*h + 10. Calculate the remainder when 17 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21 + (-8)\/(-2))*4\/(-4). Calculate the remainder when 199 is divided by (z\/(238\/(-200)))\/((-2)\/7).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p - 4. Let j = p + 4. Find the second derivative of -4*u + 3*u**2 + u**4 - 3*u**j wrt u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.7 from 1236907324.\nAnswer: 1236907323.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = g - 2*g + 5, 5*i = 4*g - 13. Suppose -3*o = g*l - 32, -3*l - 17 = -4*o + 20. Solve y - 2 = -3*m + 4, -5*m = -4*y - o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1309*k**3*u**2 - 1519*k**3*u - k**3 - u wrt u.\nAnswer: 2618*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 4\/191 (c) -0.1 (d) 0.5 (e) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-20)*(-4 - 0) + 8. Let b(u) = u**3 - 11*u**2 + 20*u - 16. Let x be b(n). Solve -z - 10 = i, -4*i + x*z = i + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -1477*g + 1482*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 5, 2*h - 4 = 2*j + 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 + 0.53. Let d = i - 1. Let l = -39 - -155\/4. Which is the closest to l? (a) 1\/10 (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*q + 219 = 0, 9 = 2*k - 3*q - 154. Suppose -1187 = 2*u - 1109. Let i = u + k. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-6 - 1) + (4 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -959.38 - -958.7. What is the closest to r in 3\/8, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 29*i**3 + i**2 + 2*i + 3. List the prime factors of j(3).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 248179, 496356, 744533, 992710, 1240887?\n\"Answer: 248177*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1913*n - 1909*n = -20. Sort n, 2, 7 in increasing order.\nAnswer: n, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25573 + -24946. Calculate the highest common factor of 304 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4765 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1497\/119258?\nAnswer: 1497\/119258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22639728 and 656224.\nAnswer: 45279456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4901*q**3 + q**2*w**3 - 2*q**2*w - 2*q**2 - 26547*q*w + w**3 wrt q?\nAnswer: 29406*q + 2*w**3 - 4*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1204)\/86 + (-4 - -34)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000002 - 12?\nAnswer: -1000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -228 - -683\/3. Which is the biggest value? (a) 39 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-45))\/(104\/48)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8432 - -2554.3432. Round q to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 61039?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-72) - (-3)\/(108\/64). Let z(f) be the first derivative of -2 + 3\/2*f**q - 2*f. Give z(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38837 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 ((328\/(-10))\/((-54)\/45))\/(44\/(-66))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 9:46 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y. List the prime factors of o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 1)*1\/3. Let l = 8\/855 - -77\/22230. Which is smaller: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 12 = 23. Suppose -r - 3*z = -6*r - 11, -5*z = y*r - 5. Let p(l) be the first derivative of -l**4\/2 + l - 1. Determine p(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**3 - 80*b**2 - 20*b + 320 = 0.\nAnswer: -2, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195528098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, n: 6}. Give prob of sequence mnmn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**2 + 5*i**2 - 4*i**2 + i**2. Let o(u) = -2*u**2. Determine o(b(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81808 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.050281 * 1.1\nAnswer: 0.0553091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-32))**(-12\/11) assuming q is positive.\nAnswer: q**(384\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-2)\/2) + 5. Suppose -f*w = -2*w. Let i = w - 27. Do -28 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102421 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s**2 + 17*s - 4. Determine o(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8660.232 months?\nAnswer: 7.21686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d + 2*u - 332 = 0, -4*u - 16 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214 by 2.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1043 + 313?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cofffoocoocof. What is prob of picking 4 o?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/3)\/((-2)\/(-8)). Let t be 50\/315 + d\/14. Let j = t + -38\/45. Which is the closest to 1? (a) -2\/9 (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n + 2*n)*(6*n**4 + n**4 + 0*n**2 + 2*n**2).\nAnswer: -7*n**5 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 1:48 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2835 = 17*c - 24*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**4\/4 + 8*c**3\/3 - 3*c**2\/2 - 10*c + 34. Let t be n(-7). Calculate the highest common divisor of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a day in minutes?\nAnswer: 8928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 0, 3*l + l - 8 = -p. Suppose l*v = v + 21. Suppose 3*d + 3*t = -0*t + v, -d - 5 = 4*t. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**10*w\/(w*w**(-10))*w**(-9)*w*w**(-7)*w)**(11\/6) assuming w is positive.\nAnswer: w**(-143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2bde5 (base 15) to base 9.\nAnswer: 235108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*k + 70*k - 40 = 0. Suppose 0 = -k*m + 38 + 42. Let u = 6 - 0. What is the lowest common multiple of m and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 28 - 8 = 0. Suppose c = j*c - 27290601. Suppose 4*g + c = -4503133. Round g to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**4\/12 - h**3\/6 + 3*h**2\/2 + 30*h + 15. Let m(j) be the first derivative of z(j). What is m(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p**2 - 5*p - 6. List the prime factors of z(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 126 = -2*j, n - 6*n + 212 = 4*j. What is the greatest common divisor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 21*r**2 + 25*r + 59. Calculate q(-12).\nAnswer: -1537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - 921cdf?\nAnswer: -921ce6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -50961.08 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) 0.1 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d - 3. Let y be c(2). Let t be y - (-804 - (-2 + -2)). Let s = t + -532. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1724359 to the nearest integer?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 502902 divided by -6.\nAnswer: -83817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5 + 0.1?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 306 = 870. Suppose v - 8 + 4 = 0. Suppose -q - v = -2*q. What is the smallest common multiple of r and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 79*m**5\/60 - 361*m**4\/24 + 31*m**2 - 1. Find the second derivative of k(j) wrt j.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f - 13. Suppose -8*w = -6*w - 18. Let c(j) = -j + 3. Let n(b) = w*c(b) + 2*h(b). What is the smallest common multiple of n(2) and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -320 - -477. Suppose -58 + k = 9*i. Calculate the greatest common divisor of 44 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389 - 137 = 60*z - 168 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5 - 1380*o**4 - 17055*o**3 - 64550*o**2 - 72000*o = 0. What is o?\nAnswer: -5, -2, 0, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (7 - (-1 + -5 + (-41 - -38))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 50*z**2 - 130*z + 51. What is b(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w = 2 + 150. Solve 4*c - 16 = -3*u, 4 + w = 2*u + 3*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a century in years?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 10. Let o be j(-8). Let n(s) = -25 + o*s + 25. Let k(m) be the first derivative of 13*m**2\/2 - 4. Give n(k(w)).\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 t when three letters picked without replacement from {x: 1, p: 1, t: 3, d: 2, g: 3, m: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3 - 348*p**2 - 2181*p - 1830 = 0 for p.\nAnswer: -5, -1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ad33a2c - -1?\nAnswer: 2ad33a2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (1 - 0) - (-8 - (191 + -46 - 57))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -439*o + 4. Let d(x) = 136*x. What is a(d(u))?\nAnswer: -59704*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 8*f - 1. Let y(t) = -4*t. Let c be y(2). Let i be l(c). Let n be -2 - (i - (3 - 2)). What is the closest to n in 0.5, 4, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123620 and 38640.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 5 (c) 4\/7 (d) -1\/36 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746236646?\nAnswer: 2, 37, 653, 15443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1192 = 22*o - 18*o, -4*o = -l + 301. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 m when three letters picked without replacement from sssssssssssssmsssss?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 290951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aagygyaaga. Give prob of sequence aag.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/10 and -11\/205.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*w - 2*z, 28*z - 45 = -5*w + 23*z. Solve -3*a - 2*y = -w*y + 17, -2*a = 2*y + 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 11*y**2 + 24*y - 19. Let x be h(-13). Let r(z) = 3*z - 15. Calculate r(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4 = -2*y, -2*v + 4*v + 4 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 5*h**2 + 8*h - 13. Let f be j(6). Suppose -5*x + 465 = -0*x. Let d = 838\/9 - x. What is the third smallest value in -4, f, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w + 27. Suppose 0*b + w = 3*b. Let m = 15 + b. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 + -5.57. Let r = 52 - 49. Let b = r + t. Round b to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -31. Sort 4, p, -3, -1.\nAnswer: p, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = q + 4*q. Let l = -18 + q. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3600)*-2 + sqrt(25))*1)\/((sqrt(90)\/(sqrt(6)*2))\/sqrt(3))*5.\nAnswer: -230*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuou when four letters picked without replacement from rkuoccurusc.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 5738?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3424463846 from -0.092.\nAnswer: -3424463846.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -413545 divided by -73\nAnswer: 5665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -10 + (-1 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*z + z. Let i(v) = -v**3 + 9*v + 0*v + 8*v**2 + 4 - v**2. What is the units digit of i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b + 27*b + 8 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 4*b + 182. Let y be m(-14). Let x = y - 2. What is the greatest common factor of x and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237205047.\nAnswer: 3, 2593, 30493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11621026.683119 and 0?\nAnswer: 11621026.683119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/17)*s**(-4\/13))\/((s\/s**(7\/3))\/(s\/(((s\/((s**15\/s*s)\/s))\/s*s)\/s)*s)) assuming s is positive.\nAnswer: s**(11327\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - v + 1. Let n(g) = 7*g**2 - 18*g + 1. Let u(h) = -d(h) + n(h). What is the second derivative of u(y) wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 5. Let o be t(0). Suppose 31*q = -180 + 831. Let w(r) = -2*r - 2. Let c be w(-3). Solve -8 = -2*u - y, 5*u - q = -o*y + c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + 4*i - 3*i + (-3 + 4 + 1)*(2*i - 1 + 1) + (5 - 23 - 25)*(5*i - 2*i - 2*i) - i + i - 4*i to the form f*i + t and give f.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (5 - (-2 - -8) - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3762 and 2550.\nAnswer: 1598850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 101464802 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.06 + -0.56. What is k rounded to 0 decimal places?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbbtbbccitttccttcbi. What is prob of sequence iii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 35*z - 36*z + 19, 4*z = p + 5*z - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 63*i + 168 = 39*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 r when three letters picked without replacement from {u: 1, r: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 383333 and 5746?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.29 and -41909254.8989.\nAnswer: -41909255.1889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -49 (b) -1\/7 (c) -0.3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28887462?\nAnswer: 2, 3, 59, 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**3 + 17*t**2 + 13*t. Let v(o) be the third derivative of o**6\/60 - 2*o**5\/15 - o**4\/4 - 16*o**2. Give -6*h(x) - 13*v(x).\nAnswer: 4*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 23*u + 9. Let v be y(-22). Let n(r) = 4*r + 51. Calculate n(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(315)\/(sqrt(7) - (sqrt(7) - -1*sqrt(7)) - sqrt(7)) - (1 + sqrt(45) + sqrt(45) - sqrt(45))*4 - ((sqrt(720) + sqrt(720) + 2)*4)**2.\nAnswer: -46148 - 3099*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 - 10) + 8 + (-6 - -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Let a(m) = m**2 - m + 1. Let h be a(1). Let t = -2 - -2. Suppose -2*n = -3*s, 5*n + 2*s = -t*s. Sort h, 3\/8, n.\nAnswer: n, 3\/8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 5*i**3 + 4*i**3 + 1 - 2. Let v(u) = 7*u**3 + 6*u + 8. Let p be (-19)\/3 - (-3)\/9. What is p*g(f) - v(f)?\nAnswer: -f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 1, -46, -4, 5, 3 in decreasing order.\nAnswer: 5, 3, 1, -4, -15, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11089872 divided by 1032?\nAnswer: 10746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -412, -1512, -3460, -6256?\nAnswer: -9900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a - 16. Let v be t(-8). Let l be 51\/99 + -1 + 16\/v. Solve 2\/11*i**4 + 2\/11*i + 0 - 2\/11*i**2 - l*i**3 = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04810932 times -1?\nAnswer: 0.04810932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = t + 21. Suppose -327*s + 333*s + 60 = 0. Let b = s - t. Solve -4 - b = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and 216277.4.\nAnswer: -6488.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-5) - 10\/25. List the prime factors of 6\/(-2) + (-6)\/u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6991\/390 - 217\/13. Find the common denominator of -11\/18 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -397*f - 1472. What is the units digit of r(-66)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2781594 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 44 = 52 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*f - 4540 = 3161 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 73 = 11*o - 15*o, o = -5*k + 37. Solve -8*t - 4*a - 20 = -o*t, 4*t + a = 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -952*w = -955*w + 3*b + 51, 0*w - 91 = -5*w + 2*b for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**2\/2 + 2*r + 2. Let i be o(-4). Let p be (2\/(-12))\/(i\/9). Which is the third biggest value? (a) -2\/7 (b) 0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 17)*(4 + 2 + 0 + (0 + 2 + 0)*(-4 + 2 + 3))*(1 - q - 1).\nAnswer: -136*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*z + 58*z - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 - 1)*(1 + 1 - 3) + 2 - 5 + 5 + 2 + 3 - 3 + 2 + 2 - 2)*(-2*t + 6*t + 2*t).\nAnswer: 48*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 15. Solve 3*l - 1 = c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3 + (-5 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/5, -3, 2\/59?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6464, -6457, -6450?\nAnswer: -6443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, -5, 0, 4, -322.\nAnswer: -322, -12, -5, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 - 12*y**3 - 13*y**3 + (4 + 3 + 0)*(0 + 0 - 2)*(-1 - y**3 - y**3 - 1).\nAnswer: 5*y**3 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**6\/120 + 13*i**5\/60 - 3*i**4\/4 - 4*i**3\/3 + 2*i**2. Is 18 a factor of c(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 83531, 79374, 75217, 71060, 66903?\n\"Answer: -4157*b + 87688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-5) + (-1170)\/675. What is the nearest to 0 in g, 1, -0.03, 2\/9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.192527384 rounded to 4 dps?\nAnswer: 1.1925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -12*p - 22. Let n(h) = 13*h + 23. Let x(v) = 5*n(v) + 6*w(v). What is the tens digit of x(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09924629 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(24) - 2*sqrt(24)) + (sqrt(24) - -3*sqrt(168)\/sqrt(7)))\/(1*6*-3*sqrt(8)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m. Let v(w) = w**3 - 5*w**2 + w + 17. Let x be v(5). Let k = x + 7. Let n(p) = -18*p + 0*p + k*p. Determine a(n(o)).\nAnswer: 33*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4116072361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, f: 3}. What is prob of picking 2 f?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 525*q**6 + 162*q**5 + 2*q**2 - 11*q - 1844 wrt q?\nAnswer: 63000*q**3 + 9720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-16)*-45*58\/145?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1152 - -19586\/17. Put k, -8, 1.1 in descending order.\nAnswer: 1.1, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 12:20 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*a + 50. Let c(u) be the first derivative of 0*u + 0*u**2 + a - 1\/3*u**3. Let q(y) = 10*y. Calculate q(c(r)).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 109 = -4*s, 16 = 5*g + 41. Solve -2*b - 4*d - s = d, 3*d = -12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -2484?\nAnswer: -2483.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(2 + -5)\/(1*3). Let t be 46852\/(-2)*-4 + x. What is t rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**6\/15 + x**4\/3 + 9*x**2\/2 + 8. Let l(a) be the second derivative of g(a). What is the second derivative of l(d) wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -21. Suppose -573 = 4*f - p*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(363) + 3)**2.\nAnswer: 132*sqrt(3) + 1461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 8:08 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1449, -4, -100, -5\/4, 0.3 in increasing order.\nAnswer: -100, -4, -5\/4, 0.3, 1449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1377\/(-136) - 1\/(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41376?\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*k + 432 = 227*k. Calculate the remainder when 605 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2113 - 144132454?\nAnswer: -144130341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 749 and 535?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = p + 1. Suppose 5*k - 33 = -2*f, -3*f + 0*k - 8 = -p*k. Calculate the remainder when 15 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 10*o + 16. Calculate l(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16260 + 16492. Calculate the highest common factor of g and 4843.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (37\/(-2) + -1)*(9 - 154\/22). Which is the closest to -1\/2? (a) f (b) 0.21 (c) -5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 - 1110001?\nAnswer: -10000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 2, c: 2}. What is prob of sequence kaa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**6\/120 + 7*y**5\/60 - 5*y**4\/12 - y**3\/6 + y**2. What are the prime factors of r(-8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -26. Suppose 18 = x - z. What is the highest common divisor of x and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 127*k - 14600.\nAnswer: (k - 200)*(k + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 + 152. Let y = n + -59.6. Let b = y - 18. What is b rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1431713*c**2 + 2384545.\nAnswer: 2863426*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196377204 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 0*u - u**2 - 2*u + u. Let n be j(2). Let a(g) = -5*g - 3. Let p be a(n). Calculate the greatest common divisor of p and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2116 - -1972. Put -0.1, p, -1 in ascending order.\nAnswer: p, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*q**3 + 8*q**3 - 1 + 1 - q.\nAnswer: -32*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 104*c + 2379. Calculate t(-82).\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 516*v**3 - 1059*v**3 + 536*v**3.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2*-1 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.53991 to 3 decimal places.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from owottowwtwo?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 15. Suppose c = 4*a - a - 6360. Round a to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 12:18 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a minute in seconds?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 8:08 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from djjddjdjddjd?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 - o**3 + 0*o**3 - 9*o**2 - o**3 + 2 in the form p*o**3 + g*o + z*o**2 + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**2\/2 - 405*o - 54675\/2 = 0.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 + 0 + 0 + 3*i**2)*(8*i - 3*i - 3*i).\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 3*s**2 - 4*s. Suppose 23*g - 3*c = 24*g + 14, -g + 3*c = -10. Determine p(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3813*x**4*y**2 - 14*x**3*y**2 + 79069*x**2*y + x**2 + 2*y**2 wrt x.\nAnswer: 91512*x*y**2 - 84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*n**3 + 21*n**2 + 186*n wrt n.\nAnswer: -30*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 132 (b) 5\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 13. Let k = -1 + 1. What is the units digit of ((o - k) + -1)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Does 10 divide 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6572, 13110, 19648, 26186?\n\"Answer: 6538*o + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122926 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 4, 79, 65 in descending order.\nAnswer: 79, 65, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*s = -5*s + 21, 3*j - 65 = 4*s. Let d = -14 + j. Let u be (3124\/40)\/(-11) + 1\/10. Put d, 4, u, 2 in decreasing order.\nAnswer: d, 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/10)\/(8\/(-64))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*c + 3*c + 8, -8 = -4*l - 3*c. Suppose 5*w - 32 = -3*d, -w - l*d + 4 = d. Calculate the greatest common factor of w and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 0, 42*o = n + 46*o + 1185. Let l = n - -1979. List the prime factors of l.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25\/12 + -7\/12. Let w = 0.3 - -0.2. Let v = 5.6 - 0.6. Which is the third biggest value? (a) v (b) f (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8203.66 - -8204. Which is bigger: x or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2679399 at most 2679390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*i - 5 = 0, -2*i - 4 = -5*u - 19. Put -2, u, 2 in ascending order.\nAnswer: u, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-12))\/(-2*(-14)\/42).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*2*((-108)\/(-135) - 36\/40). Which is the nearest to v? (a) 0.08 (b) -2 (c) -0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.19 (b) -2\/9 (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + (14 - 44) + -39?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143616, 287235, 430854, 574473, 718092?\nAnswer: 861711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 19 = -p, -3*h + 3*p = -p - 26. Suppose 8 - h = -j. Factor -2\/7 + 2\/7*v**j + 0*v.\nAnswer: 2*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1518*w + 954*w = 30*w - 126984 for w.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 484327469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -2\/3*b**4 + 1\/30*b**6 + 0*b - 16\/3*b**3 + 2\/15*b**5 - 3 + 2*b**2. Let x(t) be the second derivative of y(t). Factor x(v).\nAnswer: 4*(v - 2)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*g + 2 = 38, 4*l - 5*g = 123. Let b = 41 + -58. Let t = b + l. What is the remainder when t is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17095598 to the power of 1\/3, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from {s: 6, e: 2, p: 2, w: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -289, -286, -283, -280, -277, -274?\n\"Answer: 3*p - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.903, -436, -3\/8, 4, -0.25?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6298 or 6928?\nAnswer: 6928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -158?\nAnswer: -1\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127 - -40 - (5 + -8 + -19).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/((-308)\/8) - 0. Which is the nearest to y? (a) -3 (b) -4\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + r + 3)*(r**2 - 3*r**2 + 3*r**2) + (4 + 0 - 2)*(-10 + 16*r + 10)*(-r - 2 + 2)*(3*r - 6*r + 2*r).\nAnswer: 33*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 18*y - 17*y - 119, 5*r - 4*y - 154 = 0. Calculate the common denominator of 20\/42*51\/4 and ((-987)\/r)\/7 - 4.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {b: 16, i: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-816)\/9724)\/(76\/(-418))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1044.3724+12354\nAnswer: 11309.6276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r + 3*r + 0*r)*(2*r**2 + 41*r + 369 - 726 + 391) as w*r**3 + y + f*r**2 + c*r and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 515.7.\nAnswer: 511.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 471053 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 2*c**3 - 9*c + 2*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -26. Let x = 25 - k. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 105539399 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 8*k + 75. Which is smaller: k or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -805 divided by 5.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 22.6 (b) -190155 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6864.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from {h: 1, v: 2, a: 1, b: 2, s: 1, e: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p - 34*p + 18*p - 3*p + 1246.\nAnswer: -7*p + 1246","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (5 - 1 - 0).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.1299, 4, 1136?\nAnswer: -0.1299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(-14))\/(2\/(-20)). Find the second derivative of -6*c + j*c - c - 2*c**5 wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22978 + -1.51479?\nAnswer: -1.74457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -76c5fdd?\nAnswer: -76c5fdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 0.121.\nAnswer: 1.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3354 is divided by 133.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -532745 divided by 1.\nAnswer: -532745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 43. Suppose q*w = 12*w + 424. Calculate the lowest common multiple of w and 2.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*t - 7*t. Let b = -2 - t. Let m be b + (1 - (1 + -1)). Let s(j) = j**2 + j - 1. Let y(h) = -h**3 + 4*h**2 + 3*h - 2. Give m*y(l) + 6*s(l).\nAnswer: 2*l**3 - 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 8*z**2 - 10. Let f be g(8). Let w = f - -15. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7456871 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44714 + -44716. Is 135.8 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*d**2*t + 20*d**2 - d*t - 1 wrt t.\nAnswer: -5*d**2 - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34887, 57484, 80081, 102678, 125275, 147872?\nAnswer: 170469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140171626 + 140171626 + 6*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 50. Suppose 25 = -t + 6*t. Suppose d*o = t*o - 635. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 22. Let v = d - 4. Suppose -v*q = 3*t - 34 - 23, 2*t + q = 39. Calculate the least common multiple of 10 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 1461639*u + 4384890.\nAnswer: 3*(u - 487210)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 957787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -268 + 272. Suppose 0 = -2*s - 4*x + 18, -p*s - 15 = 4*x - 67. Calculate the remainder when 65 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h. Let c be s(0). Solve -f - 3*f + 16 = c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:27 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 953452613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -3213300?\nAnswer: 3213223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 157 = 3125. Let t = j + -371. Solve t = -12*v + 8 + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3021 - -6850. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -409 (c) -4\/5 (d) 54 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 700 and 21112.\nAnswer: 527800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 375 + -368. Solve -3*x - s*x = -30 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013059 rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and -13.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + (28\/8 - 2)*-2. Suppose -r*a + 0*a = a. Solve -3*q - 4*z + 12 + 5 = a, -q - 4*z + 19 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100064.\nAnswer: 2, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 16b28?\nAnswer: 16b2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1352 and 1869552.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20230486711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h + 3 + 5*h - 2 - 2666*h**2 - 2 + 2399*h**2 to x*h + l*h**2 + w and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x - 2. Let t(o) = 3*o + 1. Let y be 5 + -4 + 2\/1. Let n(k) = y*g(k) + 7*t(k). List the prime factors of n(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2915550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.1 (b) 1\/57 (c) -0.08 (d) -284 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 341*i - 25927. Calculate g(76).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88587211*g*k**3 + g*k - 27288*g - 13*k**2 - 4*k - 2 wrt k.\nAnswer: -531523266*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 50. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -330 - -468. Let d(a) = -l + 18*a + 138. Let j(i) be the first derivative of -i**2\/2 + 1. Calculate d(j(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1. Let g(o) = 2*o + 7. Let y be g(-3). Let t(l) = 28*l + 2. Let i(b) = y*u(b) - t(b). Differentiate i(h) with respect to h.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-6) - (4 + (-150)\/36). Do i and 15\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50b (base 12) to base 6\nAnswer: 3215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -116460, -233692, -350924, -468156, -585388?\n\"Answer: -117232*w + 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 147*f**2 - 2*f**3 + 147*f**2 to the form w + a*f + x*f**2 + u*f**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7480 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 7. Suppose -4*k + o*n + 10 = 0, 4*k - n + 0*n = 18. Calculate the highest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d6d7 + 3?\nAnswer: 1d6da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/231*7*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 - 15*i - 11. Let n be y(-6). Let t(r) = 16*r - 68*r + 21*r - n + 26*r. Let k = 41 + -48. Determine t(k).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11729 is divided by 2930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 260561.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 32072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*j**3*v**2 - j**3*v - 2*j**2*v**2 + 114*j*v - 3*v**2 wrt j?\nAnswer: -312*j*v**2 - 6*j*v - 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at most -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 105\/8 (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/5 and 140\/2450*(-2 - (-165)\/42).\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/((-84)\/16) - 8906. Round d to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxgxpxxxx. Give prob of picking 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.066 and -3?\nAnswer: -0.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -482 + 1424\/3. Find the common denominator of (-4)\/14 - (-7690)\/1680 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1348\/9 + -150. What is the biggest value in -0.5, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**4 - 992*f**3 + 369023*f**2 - 61011969*f + 3782742019. Let h(q) = q**2 + q - 3. Let l(o) = -5*h(o) - 5*x(o). Suppose l(i) = 0. Calculate i.\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at most -5385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 - 134. Let v = 59.7 + y. What is the closest to -0.1 in -1\/8, v, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3606?\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 12*z + 17. Let y be l(11). Let r(p) = -2*p + 3*p - 5 - 3. Let a be r(y). Is -3 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 196 = 3*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 457.\nAnswer: -7\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6164 divided by -3.\nAnswer: 6164\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 703999787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -29360*s + 40. Let h be f(14). Round h to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2\/(-2)*(-530)\/(-212).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -101001121 (base 3) to base 5\nAnswer: -213313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-465*14*10\/700)\/(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*k + 71*k - 8. Suppose -k*r - 2*w + 1396 = -7*w, -2*r - 5*w = -1396. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 83 + -83. Put 3, -2, -4, i in increasing order.\nAnswer: -4, -2, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -2. Suppose h*a + q = 884, 2*a - 6*a + 5*q + 884 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 185154 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 3*n - 211. Let d(m) = -m**2 - 4*m + 210. Let x(p) = -2*d(p) - 3*l(p). Is 20 a factor of x(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*s + 495360 - 497670 for s.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/375)\/(((-8)\/4)\/10)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 9*o + 1. Let p be u(-9). Let f = p + 1. Let n be (4\/6)\/(f\/75). Solve -b - 4*b + n = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 + 3.06. Let c = -2 + d. Let o = -0.04 - 2.96. What is the nearest to c in o, 1\/2, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 81*a**2 - 22*a - 32. Does 74 divide b(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*n + 1. Suppose 5*m = -n*o + 10 + 31, 20 = -4*m. What is the highest common factor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from hglhhhssgsg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2684309 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8890 + -8885. Suppose m - 3 = -n, 3*n - 39 = 4*m + 5. Calculate the remainder when n is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 2*m, -7858*j = -7853*j + 5*m + 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 844 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n + 4*q - 6, 0 = 5*q + 15. Suppose 0*b + n = -2*b. Let h be (6\/(-9))\/((-10)\/b). Is h < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 22. Suppose 4*o + 6*g - a*g = 0, 2*g + 5 = -o. Suppose d = o + 1. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 121155*k**2 - 234650?\nAnswer: 242310*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -6 (b) -1 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*w + 41*w - 58992. List the prime factors of w.\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**5 + 490*o**4 - 2475*o**3 - 175450*o**2 + 536480*o - 359040 = 0.\nAnswer: -17, 1, 2, 24, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2385 - 1638. Let q = u - 358. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -2\/5 (c) -0.032\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32960 + -32974. Which is greater: -49 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + w - 8. Suppose -20*a = 17 - 157. Determine p(a).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**2 + 7*a**2 + 17*a**2 + 0*a**2.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -203 - -193. Let v = 0.1 - -0.3. Let k = 0.2 + 0. Sort v, k, r in descending order.\nAnswer: v, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36928447 and -5.\nAnswer: 36928442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 - 69\/15. Let o = 65 - 163. Let m = 95 + o. Put 3, m, x, 5 in descending order.\nAnswer: 5, 3, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 0*r**2 + 0*r**3 - 1 + 1\/4*r**4 - 2*r. Find the first derivative of y(a) wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 x when four letters picked without replacement from bbobxbbggobgobbobgb.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Let s = 0.049 + -4.049. Which is the closest to -0.1? (a) 3 (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 8*w**2 + 7*w + 2. Let z be k(-7). Suppose z*f - 5*f + 237 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 4, -15, -12013, -5, 2 in decreasing order.\nAnswer: 4, 2, 0, -3, -5, -15, -12013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 206.\nAnswer: -1\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4644c5 (base 15) to base 4.\nAnswer: 30303102323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -38*s**3\/5 + 5654384*s**2\/5 - 210346953518*s\/5 + 66422534412 = 0. What is s?\nAnswer: 30\/19, 74399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m. Let j(f) be the third derivative of -f**4\/24 - 40*f**2. Determine d(j(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4757 and 737?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.10036 + 0.10036. Let j = -187.05 + 192. Let n = 0.05 + j. Which is the closest to 0? (a) n (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10395, 10075, 9549, 8823, 7903, 6795, 5505?\nAnswer: 4039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**5\/20 + r**4\/3 + r**3\/3 - r**2 - 7*r. Let z be k(-2). Suppose 0 = z*o - 4*o + 34. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, u: 15}. What is prob of picking 1 u and 2 g?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34702240 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 16 = -2*x. Let f = 16 - x. Solve 2*v - 6 - 4 = f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 1235 = 12*y. Let k be 250\/y + 24\/(-13) + 2. Let -3\/4*q**3 - 1\/4*q + 0 - 1\/4*q**k - 3\/4*q**2 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 - 268*a - 252*a + 492*a - 3 - 122*a**3 wrt a.\nAnswer: -732*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2209, 9354, 16499, 23644, 30789, 37934?\nAnswer: 45079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -378a96 (base 14) to base 15.\nAnswer: -279d03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5417371 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7015913 is divided by 680?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/15, -2, -16?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) 56 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -4 (c) -2 (d) -79 (e) 0.5 (f) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 4)*(-10 - 3 + 4)*(1 - i**2 - 1)*(2*i - 5*i + i + (-1 + 0 + 3)*(-i + 0 + 0) - 2*i + 0 + 0 + (261*i + 263*i + 11*i)*(-4 + 0 + 3)).\nAnswer: -9738*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -7*l**3\/3 + 2039*l**2\/2 - 582*l + 3200. Let y(u) = 0. What is u?\nAnswer: 2\/7, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - (-5*sqrt(975) - sqrt(39)))\/sqrt(3).\nAnswer: 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*d - 5. Suppose -d*f + 5*f - 41 = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 9*d + 4*d + 90 = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 25\/7 of a week?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*o - 3*o - 0*o, -480 = 4*c - 9*c - 41*o for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54\/(-1*(-3)\/75). Find the second derivative of -x**4 + f + 9*x - 1350 wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -75.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1257\/2 + -627. Let g be (-2 + (-2)\/2)\/(-7). Which is the second smallest value? (a) g (b) -7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326984603.\nAnswer: 11, 29725873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390276*h**2 - 1561119*h - 60 = 0. What is h?\nAnswer: -4, -5\/130092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 620?\nAnswer: 21700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + 89 + (-2 + 66 - (1 + -3)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174705008?\nAnswer: 2, 277, 39419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 164216 + -164207. Calculate the least common multiple of f and 1 + 2 - (1 + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 5)*(3 - 2 - 2)*(-1167*y + 53*y - 72*y)*(0 - 2*y**2 + 0) to i*y**2 + v*y**3 + m + o*y and give v.\nAnswer: 4744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5074*a + 5079*a - 65 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 10*k**2 + 6*k - 1. Let q be -6 - (-12 + 3) - 22\/2. Let h be g(q). Suppose 20 = -75*b + h*b. What is the remainder when 18 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30176 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2188145 by 550.\nAnswer: 437629\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2 (b) 1 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 + 10 + -9 + 11 - (-91 - 4).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/20 + 9\/2. Let u be (-6)\/(-9)*(x\/(-3) - -1). Which is the closest to -0.1? (a) -5 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/4 and 61\/89559154?\nAnswer: 179118308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00137379698 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 8) in base 2?\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6453 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*a - 8. Suppose 17 = 2*u - 3*i, -a*u - 4*i = -5*i - 23. Solve h - 5*o = 5*h + 29, u = -3*h - 2*o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-1) + (2 - 1). Let v be (w\/(-2))\/(3\/4). Suppose -5*f = i - 626, -i = 3*f + 27 - 401. Calculate the highest common divisor of v and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/3)\/(109*(-68)\/(-22236)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153914 is divided by 974.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -4, 8 in ascending order.\nAnswer: -4, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84) + (sqrt(84) - sqrt(84)*-1)))*-1)\/(-4*sqrt(12)*3).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(6)\/sqrt(3)) + (sqrt(300)*2)**2 - ((1*sqrt(75) + sqrt(75))*-6)**2.\nAnswer: -9600 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.1, 4\/7, -2\/17, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j - 21 = -97. Suppose 0 = -3*o + 5*o + 4*q + 12, -20 = j*q. Solve -4 = 5*y + p + p, -4*y - o*p - 8 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (-5 + 12)) + 7. Let d be ((-6)\/18)\/(-3*v\/(-558)). Which is smaller: d or -30?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 533570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 - 29*g - 8*g**2 + 15*g + 4*g**2 + 10 + 16*g to the form v*g**2 + h + x*g and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 242*i - 1976. Let l be u(10). Calculate the highest common divisor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22039 is divided by 365?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -60100000 rounded to the nearest 1000000?\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/6 - (-2)\/(-6). Let a be (1*-1)\/(23\/(-253)). Suppose a = -2*r + 9. What is the closest to 1\/2 in r, w, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/15*(1 + 9). Let l = x - -9. Let h be 3 + (1 - 0\/(-1)). Solve -l + h = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1120202 + 20412?\nAnswer: 1141114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 10*t**2 - 13*t + 17*t - 4*t - 8*t**2. Let v(m) = -512*m. What is q(v(y))?\nAnswer: 524288*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -25563?\nAnswer: 5\/25563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/8*(-20)\/(-2). Solve -5*f + 0*f = -3*o - 30, -2*o - 25 = -a*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.1 (b) 1\/7 (c) -20.6 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48167.58t in micrograms?\nAnswer: 48167580000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t - 4. Let v be k(-3). Suppose -y - 16 = 3*n + 4*y, 4*n - 7 = -y. Let -6*l**4 + n*l**2 - 2*l**3 + l**2 + 2*l**2 + 4*l - v*l = 0. Calculate l.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24943*g**3 - g**2 + 4*g + 46876242 with respect to g.\nAnswer: 74829*g**2 - 2*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 333 - 13 = 4*r, -c = 5. Suppose 5*k + 5*f + 35 = 2*f, -4*f - 4 = -4*k. What is the lowest common multiple of r\/k + (-2)\/8 and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 - 15*w + 6. Let t be o(-7). Let n = t - 9. Suppose -3 + 11 = 2*j. Solve 0 = j*i - n - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/4*(-179)\/179.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-25))\/((-582)\/2425).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 3043614?\nAnswer: 3043614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c**2 + 196*c - 593. Determine b(3).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 8*p**2 + 6*p. Let u(c) = c**3 - c - 7. Let r be u(0). Let q be t(r). Let d = q + -10. What is the third smallest value in d, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(40)\/sqrt(2))\/(sqrt(36)\/(sqrt(9)*-2) - sqrt(4)))**2 - (-1*(-1*sqrt(40))\/sqrt(8) - (sqrt(35)\/sqrt(112) + -2 + sqrt(5)*2)).\nAnswer: 5*sqrt(5)\/4 + 482\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.5 - 12. Let i = -385 + 386.73. Let k = i + g. What is k rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542982015 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 65592?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**3 + 4*y**2 - 2*y. Calculate h(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**5\/60 + 7*h**4\/24 - 5*h**3\/3 + 38*h**2. Give c(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 5*l**2 - 9. What is d(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 243, 464, 685, 906, 1127?\n\"Answer: 221*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -11*x - 23. Let z be v(-4). Solve 6 = 2*f - 4, -4*j + z = 5*f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 16*c = -76, -5*m + 24*c = 21*c - 27 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - k + 20. Does 10 divide h(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*i + 6*s - 2, -3*i = 2*s - 8. Let t be i + 0 + -5 + 1. Suppose -3*r = -2*a - 145, 3*r + 2*r - 2*a - 239 = t. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 4*i + 2. Let g be a(4). Suppose 2*m = -12 - g. Let l = -4 - m. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 < -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.2 (b) -0.3 (c) -2 (d) 41068 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18, 37, 40, 21, -26, -107, -228, -395?\n\"Answer: -b**3 - 2*b**2 + 32*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2. Suppose 0 = 2*f + 2. Let t be b(f). What is the tens digit of ((-1)\/t)\/((-3)\/(-78))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eevqeqvbbbb. What is prob of picking 1 e, 2 v, and 1 b?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 88760*y - 177536.\nAnswer: 4*(y - 2)*(y + 22192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by (-31)\/(-1) + 3\/((-21)\/14).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2 = 3*r, -76 = -3*t + r. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51035856, -51035854, -51035852?\nAnswer: -51035850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2, -1.21, 1, 2, 1\/6.\nAnswer: -2, -1.21, 2\/13, 1\/6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 391*n - 85. Let u(m) = -28*m + 6. Give 85*u(o) + 6*w(o).\nAnswer: -34*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 7*x**4\/12 - x**3\/3 + x**2\/2 + x + 4. Give m(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70*c*t + c + 2219 wrt t.\nAnswer: -70*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**3\/3 + 2*n**2 + n\/3 - 2 = 0?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 3 + 0)*(1 + 2 - 4) - 1 - 1 - 1 + 0 - 3 + 1)*(f + 3*f - 2*f) to the form u + d*f and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12435 - -12429.501. Let i = -38.871 + r. Let d = 45 + i. What is d rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -9*i**2 - 4*i. Let m(o) = 100*o**2 + 45*o. Let p(y) = 4*m(y) + 45*q(y). Let h(b) be the first derivative of 4*b**3 + 27. Calculate p(h(g)).\nAnswer: -720*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 690462040?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3010 - 2?\nAnswer: -3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112636946 is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*y + 0)*(5*y - 6*y + 0*y) + 3*y**2 - 9*y**2 - y**2 + 6*y + 1 + 7*y**2 - 6*y.\nAnswer: 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 73053951 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*4\/(-162)*(-18 + 15). Put 0.161, u, 1\/7 in increasing order.\nAnswer: 1\/7, 0.161, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times 0.733?\nAnswer: 12.461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + z - 8. Let y be g(-4). Suppose y*i - 7*i = -15. What is the smallest value in 1, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojnnj. What is prob of sequence jjn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 6:09 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/6 and (-1)\/3*18\/(-40)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfpx when four letters picked without replacement from {o: 2, x: 7, p: 7, f: 1, l: 3}?\nAnswer: 49\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 5*w**2 + 0*w**2)*(-1 - 10 + 4).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2794 + 2893. What is the remainder when a is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2489652 and 10.\nAnswer: 12448260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -j + 145, 3*j + 7*b - 413 = 6*b. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 511180 = -138*r + 139*r, 0 = 2*k - 3*r - 511192. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**5\/4 - 5*t**3\/6 + 8*t. Factor b(p).\nAnswer: 5*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -464.1 - -464. Which is greater: 81 or l?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 5*r**3 - 3*r**2\/2 - 168. Let y(k) = k + 0*k - 2*k. Let z(w) = -f(w) - 3*y(w). Solve z(a) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -113 and -4271427?\nAnswer: 4271314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - -3*(sqrt(55) - sqrt(220)))\/((sqrt(132)\/sqrt(4))\/sqrt(3)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2302 (base 4) to base 6.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159064654 divided by -602.\nAnswer: -264227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 0)*(l - l + l) + 0*l + 0*l + 2*l + 22*l - 20 + 27 - 25*l as d + z*l and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -11320 to the nearest 100.\nAnswer: -11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + -3 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (72\/16)\/((-2)\/(-44)). Let l = p - 52. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13426509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 9\/4 + 3\/2*p + 1\/4*p**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/9)\/a*a)\/(a**(-5)*a))**(1\/30)\/((a**0*a*a)**(-15\/7))**(13\/2) assuming a is positive.\nAnswer: a**(10579\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3290 + 3339 - (1 + -51)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6542 minus 21521911.6?\nAnswer: -21528453.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1312 - -3938\/3. Determine t, given that -1\/3*t**2 + 1\/3*t + g = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/9 - 46144*w\/9 + 266158592\/9 = 0. Calculate w.\nAnswer: 11536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 32940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386780000 rounded to the nearest one million?\nAnswer: 1387000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from fqvstvvtssvvtsfqfqfx.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-30))\/((-5418)\/(-70950))\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 200*m + 1405. Let d be r(-7). Solve 17 = 3*n - 2*p + 4, 22 = 4*n - d*p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.1. Let l = -0.36 + -2.44. Let t = 3 + l. Which is greater: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*s**3 - 6*s**2 + 8250*s + 78581.\nAnswer: -24*s**2 - 12*s + 8250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 11*z**6\/30 + z**5\/20 - z**4\/6 - 11*z**3\/3 + z + 6. Find the third derivative of g(v) wrt v.\nAnswer: 264*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21333 - 5166?\nAnswer: 13134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.5 - 13. What is the third biggest value in d, 0.2, 3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 3*y - 2. Let f be i(-4). Let z(n) = -n**f + n - 4*n + 3 - n. Let d be (-24)\/5 - (-3)\/(-15). Determine z(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1763 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30784 and 156.\nAnswer: 92352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 191\/6 - 127\/4. Let c(k) be the first derivative of w*k**3 + 0*k - 1\/8*k**2 + 8. Factor c(i).\nAnswer: i*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/12 - 10\/(-30). Which is the second biggest value? (a) -4 (b) h (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -22. Let q = -4 - f. Calculate the highest common factor of q and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03431 to 3 decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6561 rounded to two dps?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4 = p. Let n = 366 - 560.8. Let g = -195 - n. Which is the nearest to p? (a) g (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -803, -1801, -2911, -4193, -5707?\nAnswer: -7513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 - 25*p**4 + 27*p**4 + 2*p**3 + 2 + 0*p**2 to g*p**4 + v*p**2 + y + t*p + n*p**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 541.147 to the nearest integer.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 98 = 4*u, -117*u + 2*i - 40 = -119*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-14\/3)\/d*d**(-16) assuming d is positive.\nAnswer: d**(-65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 333480*f**4 - 412938*f**2 wrt f.\nAnswer: 8003520*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3*p - 86037, 2*p = 2*g + 6*p - 57344. List the prime factors of g.\nAnswer: 2, 3, 7, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p - 1. Let d = 194 + -193. Calculate r(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41531 + 143224?\nAnswer: 101253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - 77\/(-21))\/(-1). Let y = -38 - -71. Which is the second biggest value? (a) 0.4 (b) i (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891)*-1*-3 - sqrt(891)) + sqrt(891))**2*2 + -3*sqrt(396)*-1*-4.\nAnswer: -72*sqrt(11) + 16038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**1)**(-1\/22)*(i**(-1\/3))**(-3\/4))**(-27) assuming i is positive.\nAnswer: i**(-189\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(539) + 3)*4 - sqrt(539)) + sqrt(539) + (-1 + sqrt(539))*2 + 4 + (sqrt(539)*2*-5 - sqrt(539)) + 2 + sqrt(539) + -1*sqrt(539))**2.\nAnswer: -1120*sqrt(11) + 13731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 33\/5 of a micrometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from toidb. What is prob of sequence db?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 5*w**2 + 3*w - 3. Let s be f(-3). Suppose -10*i + 26 = s. Solve -2*c - 9 = 5*u - 29, -3*u - i*c + 12 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x + 103. Let u be o(-17). Suppose 2*g = -5*g + u. Sort 1, -3, -1, g.\nAnswer: -3, -1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 21*q**4 - 17*q**3 - 17*q + 12. Let b(h) = 3 + 6*h**3 - 7*h**4 - 7 + 0 + 6*h. Let y(m) = 17*b(m) + 6*i(m). Differentiate y(x) wrt x.\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.1 (b) -0.04 (c) -4 (d) 0.1 (e) 254\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (564\/(-69))\/(-2) - (14 + (-120)\/12)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.5 (c) -66 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 3:14 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1698.9\nAnswer: -6795.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.42 - -21.3. What is c rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 881152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 71 - 9d4?\nAnswer: -963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1279388 is divided by 425491?\nAnswer: 2915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 82500000 rounded to the nearest 1000000?\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, z: 2, w: 2, q: 2, h: 4, v: 1}. Give prob of picking 1 v, 1 h, and 2 w.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s - 25*s**2 + 22 - 22 + 5*s + 79*s**2 as h*s**2 + p*s + l and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*o - 15 + 15)*(-o - 2*o + o)*(4 + o - 4) + (-28*o + 13*o**2 + 29*o + 3*o**2)*(-1 + 1 + o) to m*o**3 + p*o**2 + u + b*o and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3463875 is divided by 2297?\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/175 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 0*d - 4 + 4*d + (2 - 2 - 2)*(2*d - 4*d + d).\nAnswer: 6*d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s. Let f(g) = 2575*g**2 - g + 6. What is t(f(c))?\nAnswer: -5150*c**2 + 2*c - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 26 = -3*c, 0 = -2*c + i - 3 - 5. Let n = c + 4. Suppose -2*m = n*m. Solve -5 = -5*u, 5*a - 2*u = -m*a - 27 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s, -3*s - 2*s + 206 = 2*b. Calculate the remainder when b is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21473891.2 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 16) to base 10\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 20213?\nAnswer: 20213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + 18. Let v = -18 + x. What is the remainder when 2 - (4 + 92)\/(-3) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**2 - 30*m + 870.\nAnswer: 2*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -526251134?\nAnswer: 526251136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 87.95867 nanometers?\nAnswer: 0.00000000008795867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**5\/80 - i**3\/24 - 18*i. Find f such that h(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30842258 to the nearest integer?\nAnswer: 5554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 8:43 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -105*o + 4761. Let z be b(-75). What is the greatest common factor of z and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) 12\/5 (c) 17 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 175888452?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -4*c - 2, 2*g + 1 = 3*g + 3*c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*n - 26. Let t = 2 - 2.6. Let o = t - -1. What is the second biggest value in -3\/8, o, n?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2769809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 11:53 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 3574025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 38*j**2 + 361*j - 85. Determine l(21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17842245*o**2 + 132160687*o?\nAnswer: 35684490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + j. Let z be i(5). Suppose -50 - z = -5*s. Let y = s + 2. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 9*i. Suppose i = -8*p - 16. Let a(z) = z + 1. Let j(v) = 4*v + 10. Let o(b) = p*j(b) + 6*a(b). What is o(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2221 - 1344?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626236?\nAnswer: 2, 13, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/10 (b) -0.2825 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 62*j**2 + 30*j - 79. Let b(s) = 25*s**2 + 12*s - 32. Let w(z) = 13*b(z) - 5*i(z). Let t(o) = 3*o**2 + o - 4. Determine 11*t(a) - 2*w(a).\nAnswer: 3*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-18) - (-70)\/(-240). Let r = -9\/20 - c. Is r less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*d + 7925, 25*d - 22*d - 11880 = -3*z. Does 82 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 8*l + 21*l)*(-6 + 2 + 23) to p*l + v and give p.\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-252)\/(-20) - 6\/10. Suppose 7*b = 4*b + w. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 0.4. Let t = -143 - -38. Let s = t + 104. What is the second smallest value in s, -2\/5, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -1, -5, -23, 4 in decreasing order.\nAnswer: 4, -0.9, -1, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 17, k: 2}. Give prob of sequence www.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (5 - (-3 - -5)). Let w be 4\/14*5*7. Let z = 6 - w. Sort z, -1, l in ascending order.\nAnswer: z, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -52. Suppose -11*r + 19 = -v*r. Suppose -n + 3 = -51. What is the remainder when n is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqkkkkqjkkkkkkkkkqj. Give prob of picking 1 l, 1 q, 1 k, and 1 j.\nAnswer: 13\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttivivithviiivivv. Give prob of sequence vth.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 6626 + 6642 = 0, -5*c + 19 = f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3752893*w - 7082870?\nAnswer: 3752893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 888789?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 28. Let x = q + -19. Is -2\/13 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y**3 - 2*y**2 + 2*y - 1. Let i be m(1). What is the highest common factor of i and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 + 13*u - u**3 + 8 - 2 - 4*u**2 - 1. Let q be z(-9). Let o = 66 + -36. Calculate the highest common divisor of q and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1762*a + 15868. Calculate r(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 442 and 12?\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 15 - 2*g**2 + 3*g**3 + 45 + 3*g**4 + g + 0*g**2 - 22 to the form c*g**2 + p*g**3 + h*g + a*g**4 + o and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -4) + (-4 - (-3 + (-10 - -16)) - -8).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6412286 - 2867134.\nAnswer: -2867132.3587714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 390153576 + -172057603679\/441. Let n = q - 2527\/9. Let k = -3205\/196 - n. Find the common denominator of k and 31\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -4585351?\nAnswer: 4585349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-1 - -1) + (2 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 h when four letters picked without replacement from {h: 3, s: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -47*i**3 - 104*i**2 + 37*i + 114 = 0.\nAnswer: -2, -57\/47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*d + 25 = 0. Let s be (-24 + d)\/(1\/4). Find the second derivative of -85*w - 6*w**3 - s*w**3 + 80*w wrt w.\nAnswer: -60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*m + 2471 = -6983 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((1 - -1) + 3 - (139 + -132))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-23)\/(253\/(-462)))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 - 10*r**3 + 2*r**3 + 7*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1980 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - -0.5. Let r = -1 - z. Let k = -14.5 - -15. What is the third smallest value in k, r, 1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((3\/((-195)\/(-2)))\/((-106)\/(-530))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2911 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 112.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220, -298, -534, -1006, -1792, -2970, -4618, -6814?\nAnswer: -9636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 plus 33?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15)\/(80\/300)*(-2)\/11\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 1932 = -3*n + 2013, -5*n - 4*o + 108 = 0 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21810880 divided by 25.\nAnswer: -4362176\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n - 17. Calculate v(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 17 (c) -32 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4 + 1 - 5 + 2*d. Let g(b) = -5*b. Calculate g(l(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434440 is divided by 144399.\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330 times -1?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 42*s**2 - 1120*s + 35. Let a(f) = -f**2 + 32*f - 1. Let d(b) = 35*a(b) + k(b). Let u(t) be the first derivative of -t**2 - 1. Determine u(d(l)).\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 7. Let j = 2\/72541 + -145148\/2393853. What is the closest to -1\/4 in d, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17363399 to the power of 1\/2, to the nearest integer?\nAnswer: 4167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*r - 596900 = -61*r + 396820. Is r a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15429 at least 0.16944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 897, 1, 14, -260 in decreasing order.\nAnswer: 897, 14, 1, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24\/31 in -0.5, 2, -2, 315\/22?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11795*b - 11817*b + 23619*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-54)\/(-5) - 1\/(-5). Suppose -6*i + 15 = -o*i. Put 1, i, -1 in descending order.\nAnswer: 1, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13459371, 13459373, 13459375, 13459377?\n\"Answer: 2*o + 13459369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00093166 to five decimal places.\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10191 = -9*c - 2*p, 61*p - 1124 = -c + 58*p. Calculate the greatest common factor of 721 and c.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 1)*5\/((-30)\/(-72)). Suppose 0 = 4*a + 5*u - s, 12 - 36 = -2*a - 4*u. Solve n + 3*n - a = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, u: 4, j: 3, i: 2}. Give prob of picking 1 j and 2 u.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*p - 501 + 157. Suppose 5*l = 3*g - 109, 4*g - 149 = -l + 4. Calculate the remainder when g is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2728660870.\nAnswer: 2, 5, 13, 19, 751, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -12*o - 9 - 54 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -16 + 6. Suppose -4*v + 12 = 4*l, 5*l + 5 = -v - 0*l. Solve -a - v = -i*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13277466 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -56*a**3 - 3*a**2 + 70*a - 65. Give h(1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/23 + -14\/69. Let t(u) = u**2 - 3*u - 19. Let s be t(9). Let v = s + -31. Which is the closest to -0.1? (a) v (b) p (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000001100 (base 2) in base 3?\nAnswer: 10112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 5*w**4\/4 - 2*w**3\/3 + w - 5. Let c be t(1). Let i be 3\/(-1) + c + 9. What is the highest common divisor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 3. Let s be (-2)\/8*-23 + 60\/(-80). Suppose -3*y - s*r - 7 = 15, 2*y - 12 = 2*r. Let d(z) = 2*z - 1. Let o(q) = -q - 1. Calculate x*d(g) + y*o(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10428167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a = 15*a - 72. Let y = a + 3. Solve y = 5*x + 18 + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 203910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -7*y - 36. Let d(k) = -k**2 + 13*k - 9. Let m be d(12). Let r be 1 - m - (-18)\/(-8). Is y bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3940.56 rounded to the nearest one hundred?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/246 and -16\/3.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2376856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1281 divided by -61.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 15*b**2 + 17*b + 20. What are the prime factors of w(14)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 398 = 2. Suppose -4*w - 2 = -m, w + y - 12 = 4*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -124, -387, -832, -1465, -2292?\n\"Answer: -n**3 - 85*n**2 - n - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(sqrt(17) + ((sqrt(204)*-1 - sqrt(204))\/sqrt(12))**2) - (sqrt(1088) - (-3 + sqrt(1088)*1))*-3.\nAnswer: -1351 - 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.446, 0.2, 59, -475 in increasing order.\nAnswer: -475, 0.2, 0.446, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*s + 16, s + 4*s + 3*b = 20. Let g = s - 1. Let k = 3 + g. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**2 - 17*t + 138 = 0.\nAnswer: -23, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11*-7071034\nAnswer: -77781374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200804.49 months to centuries.\nAnswer: 167.337075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from susuzzzduuususszs. What is prob of picking 2 u, 1 z, and 1 d?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38117179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 118?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(441))\/(sqrt(112) + sqrt(112) + (sqrt(112) - sqrt(112)*3) + sqrt(112) + sqrt(7)) - (sqrt(105)\/sqrt(3)*6)\/(-1*sqrt(125)).\nAnswer: 18*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25611 + -22228. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = -5*m - 90. Let p(n) = 6*n**2 - 11*n + 3. Let t(j) = -11*j**2 + 21*j - 5. Give m*p(f) - 3*t(f).\nAnswer: 3*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45239323 a multiple of 2759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361349 is divided by 25800.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**5 - 27*k**4 + 104*k**3 + 1028*k**2 + 1920*k + 1024 = 0.\nAnswer: -2, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/13? (a) 5 (b) 6\/67 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*d**3 + 5 + 16*d**3 - 17*d**3 - 4 to t*d**3 + r + z*d**2 + v*d and give t.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1004 divided by -2\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 6782388393.\nAnswer: 6782388393.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 320\/2912*-7*(-6)\/(-60)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/10 + (-33)\/5 + 7. Let y(f) = 9*f + x - 1 - 10*f + 7. Give y(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1185076 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**3 + y**2 - y - 1. Let h be c(-1). Suppose h*m = -0*m + 4. Let i(j) = -10*j**3 + 1. Let d be i(m). Is d greater than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.07, 3, 0.02.\nAnswer: -1\/2, 0.02, 0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r + 5*t = -15, 0 = r - 3*t - 9. Let i(o) = 10*o + o**2 - 6*o + 6*o + 5. Let x be i(-9). Sort -0.1, r, x.\nAnswer: x, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 712 - -bb?\nAnswer: 7cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/17 - 3188*b**3\/17 + 9526*b**2\/17 + 31868*b\/17 - 76368\/17 = 0. What is b?\nAnswer: -3, 2, 4, 1591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-274 + 302 - 962)*(c - c - c).\nAnswer: 934*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/130 + 121\/1170. Let y(q) be the first derivative of -2\/3*q**2 + 10\/9*q**3 + c*q**6 - 1\/2*q**4 + 0*q - 2\/15*q**5 + 4. Solve y(i) = 0 for i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = -5*w, -4*w + 11 = 5*u - 2*w. Let z(i) = -1 - 6*i**2 + i**u + 0 - i + 2*i - 4*i**2. Calculate the least common multiple of 4 and z(10).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 4*r**2 - 2*r - 8. Let u be q(-4). Solve a = -4*d - 6, 4*d + u = -5*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3))**7\/((x*x\/(x\/x**15*x)*x)\/(x\/x**(-13))) assuming x is positive.\nAnswer: x**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 50 + -44 + (-2 - (9 + (4 - 8) - 2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4 + 19. Let u = -2 + j. Let y = u - 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 214 = -6. What is the least common multiple of r and 134?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -86, -130, -176, -224, -274, -326?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfvvrjtx. What is prob of sequence fr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**36*r)\/r)\/r)\/r**(2\/75))\/(r**(2\/31)*r*r*r\/r**(-15)) assuming r is positive.\nAnswer: r**(39313\/2325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 1. Let r(t) be the third derivative of t**2 - 1\/8*t**4 + 0 - t**3 + 0*t. Calculate -4*d(o) - r(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - 1.136613?\nAnswer: -1.196613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2053707931 to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169528*v - 32534*v + 34362*v + 42372*v.\nAnswer: 213728*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 10. Suppose 0 = -g + 4*g + 5*u - 70, 128 = 4*g - o*u. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -228*w**5 + 2*w**3\/3 - 227*w**2 + 8*w - 2562. Find the third derivative of x(v) wrt v.\nAnswer: -27360*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from ccgcgg.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.15, 32107, -19.\nAnswer: -19, -0.15, 2, 32107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + r**2 + 5)*(-2*r + 2 - 2) + (-5 + 2 + 5)*(2 - 2 + 15*r**3) in the form y + i*r + h*r**3 + p*r**2 and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 297, 2, 1 in decreasing order.\nAnswer: 297, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33.12 - 33. Is -3 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 + 385 = 58*z - 413. Solve 23*u = z*u - 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -652, -574, -450, -286, -88?\n\"Answer: -c**3 + 29*c**2 - 2*c - 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 6*h**2 + h + 1. Let r be q(-6). Let k(j) = -24*j + 9. Let w(g) = -23*g + 8. Let n(o) = -2*k(o) + 3*w(o). Is 26 a factor of n(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 114 = 3*j, -6*j + 174 = 5*s - 3*j. Suppose 0 = 5*m - 1391 + 151. Suppose m + 22 = 3*k. Calculate the highest common factor of s and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14504400 a multiple of 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 15*q + 222. What is r(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.4, 52\/27, 2 in ascending order.\nAnswer: -0.4, 0.3, 52\/27, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -9. Let f = c - 3. Let m = 0 - 0.5. Sort m, f, 0.5 in decreasing order.\nAnswer: 0.5, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360*a = 365*a - 480. Let c = -32 + a. What is the greatest common divisor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 + 4*z**2 - 6*z. Let y be b(2). What is the greatest common divisor of y and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from orodooord?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g. Let u(d) = -5*d**2 - 4*d. Let x(h) = -h**2 - h. Let y(c) = u(c) - 4*x(c). What is w(y(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from uoeoomeow.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwqdwcqdc. What is prob of sequence wd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 2 = -2*t - t, 0 = -5*d - 2*t + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/30*0 - -889*2. Suppose 6*s - c = -8*s. List the prime factors of s.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -408, -1616, -3572, -6228, -9536, -13448, -17916, -22892?\n\"Answer: 8*v**3 - 422*v**2 + 2*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61725044 divided by -9524?\nAnswer: -6481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 - 103. Let p be 2*((-1)\/1)\/(z\/(-132)). Let f = p - -107. What is the remainder when f is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.104 + -2.114. Sort -8, b, -3, -1 in increasing order.\nAnswer: -8, -3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 3*t + 49, 0 = -t - 19362*a + 19361*a - 23 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 136 = -120. Let p(w) be the second derivative of 2*w + 0 + 1\/78*w**4 + 0*w**b - 1\/13*w**3. Let p(f) = 0. What is f?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c - 3. Let o be d(-3). Find the common denominator of o\/40*(-102)\/(-18) and 39\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 1547 + 1507. Let l be (n\/10)\/(3\/6). Solve -l*v - 3*a + 7 = 0, -6 = -v - 0*v - 4*a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 188 and 24?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 1003.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3 - 47055*z**2 - 191658096*z - 55471045644 = 0. What is z?\nAnswer: -7686, -313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 13*k = -r - 530, 2*k - 4*r + 190 = 0. Let q be ((-800)\/k)\/5*(-6)\/(-8). Let -8\/7 - 2\/7*t**2 + q*t = 0. What is t?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.51 + -0.5. Let h = n + -0.11. Sort -2\/15, h, 0.5 in decreasing order.\nAnswer: 0.5, h, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from ooowkokookkokok.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/29 bigger than -48.35621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/7 + (-76)\/7. Let m(l) be the second derivative of -l**5\/20 - l**4 - 17*l**3\/6 - 11*l**2\/2 + 3*l. Is m(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5*r + 61 + 184, u = -r + 59. Which is bigger: 772\/13 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v - 5 = 0. Suppose 2*p - 1 - 15 = -v*w, 0 = -2*w - 4*p. Suppose r - 40 = -w*r. What is the remainder when 22 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304039*j**3 + 2*j - j + 0*j - 304040*j**3 - j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, -519 in increasing order.\nAnswer: -519, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 - 1 = 0. What is the second derivative of 13*d**3 + 4*d - 5*d**p + 0*d**3 + 0*d wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/54*3\/8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -542*g - 4. Let f(o) = -813*o - 7. Calculate -5*f(i) + 8*s(i).\nAnswer: -271*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f - 55. Let d be b(5). Let g(y) be the second derivative of 1\/4*y**4 + y**3 + d - y + 3\/2*y**2. Suppose g(v) = 0. What is v?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98197*l**2 - 98189*l**2 + 490951*l**2 - 98197*l**2 - 98191*l**2 - 98195*l**2.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4 + 3*k**4 + 9*k**4 - 2 - 4*k**3 + 4*k - 12*k**4 = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -14*f - 23. What is the least common multiple of 10 and t(-7)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((33\/(-22))\/1)\/((-102)\/(-8))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.38 + -4.62. Let c be (-14)\/10*(-1)\/(-14)*-4. What is the biggest value in -0.4, c, f, 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1066 = 4*v - 1066. Solve -j = 5*a, j - 3 = -v*a - 2*a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1151 is divided by 333?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 10*k - 306 = 0. Let o = 50 - k. Suppose -2*b - 2*b - 4*i = -76, b + 3*i = 13. What is the smallest common multiple of b and o?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 840943438?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obobmmobbbob. Give prob of picking 1 m and 1 b.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + s = j - 22, 0 = j + 5*s - 4. What is the least common multiple of j and 3?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.021 in -0.12, 2, 42?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3812?\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 - 64 = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 641674 at most as big as 641672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1114\/(-3))\/((-21)\/((-6552)\/(-16)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 6:31 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 4*i. Let f(h) = h**2 - 7*h. Let n(c) = -6*f(c) - 10*t(c). Calculate n(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 274, 0, 2.3, 2\/33, -0.1 in descending order.\nAnswer: 274, 2.3, 2\/33, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 30*u - 245. Give c(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 808, 810, 810, 808?\n\"Answer: -x**2 + 5*x + 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -575714 (base 8) in base 9?\nAnswer: -327187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*o - 22. Suppose 2*m = 6, -o*v + 3*m = 4*m - 91. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p + 15 = 0. Let i = 18\/11 + -32\/33. Which is the nearest to 1? (a) p (b) i (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -17686?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66754 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, a: 10, o: 2}. What is prob of sequence ay?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*q + 1 - 1 - 30*q in the form n + f*q and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 0. Suppose -23 = -t*k + 4*g - 0*g, -2*g = 2*k - 2. Calculate the lowest common multiple of 8 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4240 and 1979868?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (44\/(-6))\/((-7)\/84). Let s = y + -18. Suppose 0 = 3*p + 3*z + s - 616, 0 = -5*z. List the prime factors of p.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 208187*j - 155991 with respect to j.\nAnswer: 208187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5918819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*i + 2*b, -3*i = -6*i + 5*b - 11. Put 5, 0, i in increasing order.\nAnswer: i, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 2.5 (c) 3\/2 (d) 2\/3 (e) 45 (f) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483760.\nAnswer: 2, 5, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + (13 - 5) - 50?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a61c (base 15) to base 14\nAnswer: -cb31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15213 and -7991.\nAnswer: 121567083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -494\/7 + 76. Let k = 209067\/16 + -13059. Let q = k - 73\/16. Calculate the common denominator of o and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 10*s - 6. Suppose 4 = 2*g - g - 3*b, 12 = 3*g - 2*b. What is the remainder when h(-8) is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -1240705.\nAnswer: -24814.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (sqrt(132) + (sqrt(132) - 6*sqrt(132)*-2) - -2*sqrt(132)*2)\/((sqrt(108) + (sqrt(108) - -1*(sqrt(108) + (sqrt(108) - sqrt(108)*-2))))\/sqrt(9))).\nAnswer: 2 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 5*q = -7, 2*z - 3*q + 2 + 3 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -3*s - 24, 11*s + 3*b - 30 = 16*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -13*x**9\/252 + x**5\/2 - 33*x**2. What is the third derivative of y(i) wrt i?\nAnswer: -3120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 22. Let v(r) = 2*r - 8. Determine v(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*n**2 + 1320917*n**3 - 4*n**2 - 660462*n**3 - 660446*n**3.\nAnswer: 9*n**3 + 32*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 306\/7 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**2 + 5*d - 9. Let m(w) = 5*w**2 - 8*w + 13. Let f(o) = -5*m(o) - 8*x(o). What is the first derivative of f(q) wrt q?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 861*a - 1214*a. Let h(k) be the first derivative of a*k**2 - 26 + 0*k - 4\/3*k**3. Let u(c) = 6*c**2. Calculate h(u(v)).\nAnswer: -144*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 - 255*m**2 - 43*m**2.\nAnswer: -298*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 21*m**2 + 5*m + 5 - 25*m**2 to o*m + h*m**2 + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 467231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 13, r: 6}. What is prob of sequence aaa?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 4*y - 2. Let j be m(2). Find c, given that 1384 - 1384 + 10*c + 5*c**j = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(700) + 3)*-2*-1 + 4)*1)**2 + 2.\nAnswer: 400*sqrt(7) + 2902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/11 in 1.1, -1.9, 991, 3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 120000 = 8*m. Round m to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1525 is divided by 375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650705 to the power of 1\/2, to the nearest integer?\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 37. Suppose -2*r + 3*m + 27 = r, -n*m = -4*r + 32. Solve 0*y + y = -r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 459 and 2822.\nAnswer: 76194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 6*b - 24*b - 299*t = -14*b - 295*t + 56, -9*t = -5*b + 146 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 704132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1042\/9 + -116. Let k = 13.3 + -24.4. Let c = -11 - k. What is the closest to c in n, -1\/11, 6\/5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/337605?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -73 - -18 - -20.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i - 5. Suppose -5*o = -5*t - 7 + 2, -33 = 5*t + 2*o. Let k(l) = 3*l + 6. Determine t*m(r) - 4*k(r).\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 5321554?\nAnswer: 5321562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221022202211 - 22112?\nAnswer: -1221100002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -24, -54, -74, -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/18*3 + 1. Let r(g) = 7178*g + 2 - s - 7179*g. Let b(x) = -7*x**2. What is b(r(u))?\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 + y - 3. Let o = 270 + -273. Let v(m) = 5*m**2 - 2*m + 5. Determine o*v(b) - 5*s(b).\nAnswer: -5*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 - -197\/3. Let d be (-2)\/(3*(-6)\/(-81)). Let w = d - -14. Sort 0.3, z, w in descending order.\nAnswer: w, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64842137.\nAnswer: 3853, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1220, 0, 0.1, -20, -49.\nAnswer: -49, -20, 0, 0.1, 1220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 11:37 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -151\/4. Let l = 239 - 239. Sort l, 1\/5, k, -4.\nAnswer: -4, l, 1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 3*h - 4 + 1 + (-h - 1 + 1)*(-17 - 8 + 4 + (1 - 4 + 1)*(-1 + 2 + 1)).\nAnswer: 22*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*p + 18*p - 46*p - 130*p**5 wrt p?\nAnswer: -2600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 4 - 12 + 3*o. Let d be y(6). Suppose -d*j = 5 - 41. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2505920 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**0\/k*k*k\/(k\/(k*k\/((k*k**1)\/k))*k*k)*k*k*k*k\/k**9*k*k**(-6\/11) assuming k is positive.\nAnswer: k**(-61\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-415)\/40 + 6\/16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1, -0.5, -1, -2\/3 in decreasing order.\nAnswer: 12, 1, -0.5, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1672 + -1674. Which is the closest to -2\/13? (a) 1\/11 (b) x (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, 3\/694015, -5?\nAnswer: 3\/694015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 297*c**2 + 7497*c - 7203.\nAnswer: 3*(c - 49)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 6.2. Let j = 11 + -6. Put j, z, -1\/3 in increasing order.\nAnswer: -1\/3, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.6753801 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-140)*-260)\/(28\/(-35)*20\/56).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -143*r**3 + 126*r**2 - 223. What is the second derivative of t(w) wrt w?\nAnswer: -858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.20012 to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 x, 1 t, and 1 a when four letters picked without replacement from jajmxxmmjtf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 17*n**2 + 18*n + 22. Let d be l(-18). Let h = d - -8. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*x - 21 - 571 = 0, 0 = 2*h + 2*x - 276. What is the remainder when h is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -6 + 96\/27)\/(2788\/123).\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -10*k + 55, -302*k + 321*k - 3*c - 22 - 77 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(102)*3 + sqrt(102))\/(-4*sqrt(150)) - ((-2*sqrt(612) + 1 - (sqrt(612)*-2 + sqrt(612) + -2))*5)**2.\nAnswer: -15525 + 9007*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22885\/76 - -301. Let p be 35\/(-14)*12\/855. Let n = p - k. Is -1 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 42*s**2 - 57*s + 180. What is the smallest common multiple of k(5) and 120?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4191 + 2*w + 10*w**3 + 4*w + 4501 wrt w?\nAnswer: 30*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*k - 6 = -125*k. Let c(x) = -2 - 3*x + k + 2*x. Let y(w) = 4*w**2 - 173 + 173 - 6*w. What is y(c(h))?\nAnswer: 4*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429752535?\nAnswer: 3, 5, 31, 43, 21493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 4:48 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117994 = 22*z - 2368. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-760)\/390)*(0 - -3). Let n = -2 + 3. Which is the nearest to n? (a) -4 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 1*40\/(-15). What is the second smallest value in 1, -3\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65872?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 2, 3, 5, -5 in descending order.\nAnswer: 5, 3, 2, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1 + (-1 + 2 + 0)*(-3 + 6 - 2) + 2 - 1 + 0)*(-2*r**3 - 3*r**3 - 2*r**3).\nAnswer: -21*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12810821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 671844\/13 or 51679?\nAnswer: 671844\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbcbwwcbrub. Give prob of picking 1 c and 1 r.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -5318\nAnswer: -53.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 8) to base 14.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 26*s**3 + 12*s**2 - 3*s + 5. Let z be x(-15). Round z to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002659449 rounded to four dps?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 494624 and 6409.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-28))\/((-3)\/16*-2)*42630\/(-738920).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 8 = 2*b - 2*k, 4*k - 12 = 2*b. Let p be 1\/2*(-1)\/b. What is the second biggest value in p, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0043334 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*l + 3886 = -1314, -f + 4*l = -2600. Round f to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60389.4l in millilitres?\nAnswer: 60389400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from pgggggpgppgpg.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(6)\/sqrt(2) - sqrt(3)))*-2 + -4 + (sqrt(3) + sqrt(9)\/sqrt(48) - sqrt(3) - (-1 + (2*sqrt(3))**2)) + 0.\nAnswer: -15 - 7*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-54)\/1350*10\/3. What is the second smallest value in 3, f, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/525 and -17\/75.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1700) + sqrt(1700))**2 + 0 + 4 - ((sqrt(1700)*-2*1)**2 + sqrt(1700) - -1*sqrt(1700)*2).\nAnswer: -30*sqrt(17) + 20404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2298215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*r - 11 - 29, -58 = 5*u + 2*r. Let q be -3 + 1\/(2\/4). Let g be (u\/2 - -1) + q. Sort g, -3, 3 in ascending order.\nAnswer: g, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36983676 less than 0.57?\nAnswer: 36983676.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*v**3 + 4*v**2 - 2*v**2 - v**2 - 6*v.\nAnswer: -305*v**3 + v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 15 = 2*i. What is the third derivative of -2 + 2 + 7*f**2 + i*f**3 - 5*f**2 wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 3*o = 21, 2*o = -4*b - 5 + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001945 rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.3 + 2.7. Let t = 22.8 + -20. Let k = -3 + t. What is the nearest to 1 in c, k, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g - 6. Suppose -2*u = -3*a - 2*a - 10, 3*a = -3*u + 15. Let y = u + -9. Give v(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 1127 - 1134 = 5*b, 52*p + 56 = -4*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -13*i**6\/48 - i**5\/10 + i**4\/24 - 46*i. Factor q(a).\nAnswer: -a**2*(5*a + 2)*(13*a - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2372565906?\nAnswer: 2, 3, 239, 551503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20669536387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-18) - 35048\/(-103122)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Let j be (1\/s)\/(10\/1820). Let p = 134 - j. Calculate the remainder when p is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 1) + (10 - 3). What is the second derivative of 2*j**5 + 5*j - 2*j**5 + q*j**5 + 0*j**5 wrt j?\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7251523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -643, -613, -533, -379, -127?\n\"Answer: 4*b**3 + b**2 - b - 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 1\/(39\/(-169))*-9?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 132?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34731, -138362, -311049, -552774, -863519, -1243266?\nAnswer: -1691997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 3 (b) -48 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 10 = -30. Solve 4*m = s + a + 3, 0 = 2*s + m - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339547 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**3 + 3*h**2 + 3*h - 3. Let f be -5*24\/(-15) - -6. Let z(m) = -21*m**3 - 14*m**2 - 14*m + 14. Determine f*g(p) + 3*z(p).\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -15619 in ascending order.\nAnswer: -15619, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 + 54.000032. What is d rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/((-6)\/(-2)) - 1. Suppose -t - 6 = -g. Suppose -10*q + 73 = -g. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -323387344.19999892 + 323387338. Let z = -6.2 - y. What is z rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9200)\/(-414)*((-9)\/(-6))\/((-76)\/(494\/(-26)))\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 415 - (-25)\/((-575)\/(-69)). Calculate the greatest common divisor of n and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**2 - 2*k. Let n be x(-1). Let u = n + 2. What is the units digit of 5\/u - 370\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*t**5\/5 - 314*t**4\/5 - 6188*t**3\/5 - 54756*t**2\/5 - 188942*t\/5 - 57122\/5 = 0. What is t?\nAnswer: -13, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2189 * 0.3.\nAnswer: 656.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000117353908 rounded to 7 decimal places?\nAnswer: -0.0001174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1101188 and 4.\nAnswer: 1101188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5035535 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + x - 5)*(-3 - 2*x + 3) to the form s*x + l*x**2 + u and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 15 = -5*h, -2*i - 12 = -3*h - h. Let x be 6 + -7 + (-243)\/(-258). Let w = x + -107\/1118. Which is the closest to 2\/9? (a) h (b) w (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**17\/x))\/x)\/(x*x\/((x**(-2\/57)\/x*x)\/x)) assuming x is positive.\nAnswer: x**(-1085\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/11)\/y*y*y)\/y**(-1\/6))\/(y*y\/(y\/y**2)*y*y\/(y\/(y**(-7)*y))))\/(y**(7\/3)*y*y\/y**(-11))**13 assuming y is positive.\nAnswer: y**(-12935\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2.53 * 4\nAnswer: -10.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.8 - -0.2. Let w = b + -12. What is the closest to 0.1 in w, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -140 + 144. Let s be -6 + (5 - k)*-10. Are -16 and s unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are -629 and -628 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1297 + 1300. Solve -8 = 5*a - s*a - y, 2*a - 16 = -5*y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.49 - -0.51. Let b = 31 - a. Let v = 0.31 + -0.11. What is the smallest value in 1, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 270*y**2 - y + 2. Let h = -37 - -40. Is t(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452054.2 rounded to the nearest ten thousand?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5872*r. Let o(q) = -17*q**2. Determine o(k(x)).\nAnswer: -586166528*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 z, and 1 j when four letters picked without replacement from {x: 1, y: 3, m: 2, v: 1, z: 3, j: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*k = -k - 13, -4 = -4*k. Let b be -1 - (0 - (146 + 3)). Suppose -38 + b = 5*p. Calculate the smallest common multiple of j and p.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + 12 + (-2 - 0). Let b(q) = q**2 + 2*q + 2. Let g be b(-3). Solve -3*h + y + 4 = 0, -m*h + 47 = g*y + 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - 10. Let x(l) = l. Let p(d) = 3*d. Let r(h) = p(h) - 2*x(h). Let m(t) = -6*t. Give q*r(g) - 3*m(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237290.26 + 6.\nAnswer: 237296.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15210, 1\/4, 48\/11?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 3) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 404 = r. Suppose -c + 102 = 2*b, 2*c + 3*b = c + r. Suppose -2*y + c = -2. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217215, -868802, -1954779, -3475146, -5429903, -7819050?\nAnswer: -10642587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -230*c**2*g**2 + 15137*c**2*g + 3*c*g**2 - 8*g**2 + 2*g wrt g.\nAnswer: -460*c**2 + 6*c - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 5 + 6 + 8 + 1.\nAnswer: -2*u + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 43109978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221210022211 + -2?\nAnswer: 221210022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 76 = -19*x - 11*c, -7*x - 8*c + 22 = -5*c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 11:45 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 0*d**3 + 0*d**4 + 9*d + 1\/5*d**5 + 0*d**2 + 8. What is the derivative of s(l) wrt l?\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3254, -3232, -3192, -3134, -3058?\n\"Answer: 9*l**2 - 5*l - 3258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.249296km?\nAnswer: 4249.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 4:59 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 58*h**2 - 13*h - 580. Let p be v(-58). What is the greatest common factor of p and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o + 4*o + 6*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -102*l**2 - 25*l - 5. Let x(q) = -103*q**2 - 20*q - 4. Give 4*b(r) - 5*x(r).\nAnswer: 107*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 1384181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2041, 2049, 2059, 2071, 2085?\nAnswer: 2101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -108*h**2 + 11*h. Let r(y) = 2*y**2 + 6*y + 2. Let m(k) = 26*k**2 + 81*k + 27. Let n(s) = 2*m(s) - 27*r(s). Determine a(n(v)).\nAnswer: -432*v**4 - 22*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + sqrt(168)\/(sqrt(3)*-1))\/(5*sqrt(8)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(12\/3) - 1231. Let s = n - -4232. What is s rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-15))\/(-14)*6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 at least as big as 310047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27092*d + 27124*d - 878*d**2 + 9 - 9 - 54216*d.\nAnswer: -878*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -18, 5 in decreasing order.\nAnswer: 5, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 29*r - 44. Let x be k(-23). Suppose -85*d = -x*d + 225. Solve 4*n - 10 = -2*m, 0 = -3*n + 2*n + 4*m + d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -231\/3277 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q - 3 = 0. Let y(v) = 4*v - 9*v + q*v + 0*v + 22. Does 7 divide y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 33\/12)*(1 + 5). What is the biggest value in -2, t, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-3)*22\/(-154).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 74*s - 49. Let j be q(2). Let b = 36 + j. What is the highest common divisor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 323 divided by -19\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -319964*b + 1084 + 319966*b - 25660 in the form y*b + d and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1451137 is divided by 362776.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3*o + 3)*(-1 - 4 + 3) + (-2 + 3 + 1)*(-3*o + 4*o - 2*o) as m + w*o and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 38.02. Let m = -0.28 + x. Which is the biggest value? (a) m (b) -4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37249\/3 + 386\/3*x + 1\/3*x**2.\nAnswer: (x + 193)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b - d + 24, 20 = 5*d. Let a(o) be the first derivative of 3*o**2\/2 + 3*o - 1293. What is a(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 3629 = -1855. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1 + (0 + 1 + 2)*(28 - 49 + 214))*(2 + 2*l + 0 - 1).\nAnswer: 1162*l + 581","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021440255 a multiple of 5316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 11 - 1 - 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + d + z - 4, -5*z + 20 = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 18 = 4*j - 0*t, 4*j - 4*t = 0. Suppose 5*n = j*n + 2. Let y = 2.5 + -2.9. Which is the second biggest value? (a) -1\/3 (b) y (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3334924 to the power of 1\/2, to the nearest integer?\nAnswer: 1826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 6*c**2 + 8*c + 10. Let m(p) = -p**3 + 4*p**2 - 4*p + 9. Let q be m(4). Let g be h(q). Sort -2, g, 1.\nAnswer: -2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4 = 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s. Let v(a) = -a. Let m(t) = 4*n(t) - 3*v(t). Let u(o) = -5 - 4*o**2 + 3 + 2. Determine m(u(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -138646 - -138643. Let j = -17.097 + -4.573. Let k = 0.33 - j. Which is the second biggest value? (a) -1 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 5:53 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 10) to base 5.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**2 + 1 - 3 - 4 - j. Let l(g) = -g**2 + 1. Give -5*l(h) - y(h).\nAnswer: -h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 17*s**2 + 19*s - 7. Calculate the remainder when 54 is divided by z(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2691734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 462 + -452. Let q be (-350)\/(-40) - f*(-2)\/(-4). Factor 0 + q*y**2 + 3\/4*y + 3*y**3.\nAnswer: 3*y*(y + 1)*(4*y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) + 159\/4. Let i(t) = 4*t**2 + 42*t + 45. Let v be i(-10). Solve v - o = -5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1590833 is divided by 334?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.048*50.9\nAnswer: 2.4432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761243485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -694 = 4*k + u, -8*u - 525 = 3*k - 5*u. Let f = 176 + k. Let m(c) = c**2 + 8*c - 6. Let o be m(-9). Solve -f*p + o = -3*v, -4*p + 2 = -v - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.730479 centuries in months?\nAnswer: 876.5748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 1495*l. Let k(j) = 2*j**2 - 27. What is q(k(h))?\nAnswer: 4*h**4 - 3098*h**2 + 41094","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 889 - 890. Which is the third biggest value? (a) 3\/5 (b) j (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 328, 361, 416, 505, 640?\n\"Answer: 2*a**3 - a**2 + 22*a + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0441 - -176.3559. Let w = 176 - d. Let u = 0.2 + -0.3. What is the fourth smallest value in -1\/3, -5, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2256 and 173\/1974?\nAnswer: 15792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + -14. Let h = -10 - q. Suppose 2*l = j + 7, -3*j + h = 4*l - 7*j. Solve y = -0*y - l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 584 times -1951\nAnswer: -1139384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.6 - -5.6. Let h = -2.00000204 - t. Round h to 7 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(152)*-3 - sqrt(152)*-1*3)\/(-6*sqrt(56)\/(((sqrt(14)\/sqrt(2) + sqrt(7) - sqrt(7)) + sqrt(7))*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174118 is divided by 2590?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 2*l**2 + l)*(2*l + l - 2*l) - 6970*l - 187*l**3 + 50*l**3 + 6972*l in the form v*l**2 + f + j*l**3 + q*l and give j.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -0.2, -9\/17, 2 in ascending order.\nAnswer: -9\/17, -0.2, -1\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259, -513, -765, -1015?\nAnswer: -1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -338265*t**2 + 4. Let r(o) = -o. Calculate r(p(a)).\nAnswer: 338265*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 146967228.\nAnswer: -14696722.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16814.3 years in decades?\nAnswer: 1681.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/198 - (-29)\/9. Suppose 9 = u*i, 6*i = p + i - 437. List the prime factors of p.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22599873 a multiple of 447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 35, 52, 71, 92, 115, 140?\n\"Answer: y**2 + 14*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 228 divided by -19\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -1 (b) -0.6 (c) 0.4 (d) 54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -560\/677?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70864, 141727, 212588, 283447, 354304?\nAnswer: 425159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -2220\nAnswer: -1\/2220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 9:18 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 482157 divided by 2853\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**5\/20 + h**3\/3 - h**2 + 23*h. Let l(w) = w - 1. Give -4*l(b) + 2*q(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z - 419 - 340 + 9*z + 163 to the form n*z + q and give q.\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-12))\/((-2)\/(-8)). Let g = f - 2. Suppose 3*k + 24 - 117 = g. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/9*(-45)\/15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 20 = -6*u, 4*u = 21*f + 11 + 114 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 5. Suppose -70 = 5*h + 2*m, 2*h = -5*m - 0*m - 28. Let r be g(h). Let j = r + 17. What is the closest to j in -3, 5\/2, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4441180 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -110*o - 137*o - 6226 + 2027 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -2*s**3\/3 - 4*s**2 - 6*s + 27. Factor y(f).\nAnswer: -2*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 679079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40053956 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 210499, 210491, 210475, 210451, 210419?\n\"Answer: -4*b**2 + 4*b + 210499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 20 = 11. Solve 0 = y - r*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a**(-1\/5))\/a)**(-49))**(-1\/14) assuming a is positive.\nAnswer: a**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 374295 to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*j**3 + 28*j**4 - 2 + 25*j**4 - 3*j**2 + 2*j**2 - 50*j**4 to the form v*j + x*j**2 + c + h*j**3 + a*j**4 and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 10:19 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23310201300 (base 4) in base 3?\nAnswer: 12211102200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 7:07 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.330557233 to 2 dps.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703225.4us in minutes?\nAnswer: 0.02838709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.660393 grams to tonnes.\nAnswer: 0.000004660393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3213132 - -210?\nAnswer: 3220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*a - 1935*a + 386*a + 376*a + 375*a + 380*a.\nAnswer: -27*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -15459\nAnswer: 4\/5153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436500307.\nAnswer: 436500307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8 = -4*g, 2*g = -4*b - 1 + 3. What is the smallest common multiple of (0\/b)\/(-4) + (-22)\/(-2) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k - 5*k + 3*k)*(4*k**2 - 2*k**2 - 3*k**2 + (2*k + k - 5*k)*(k + 3 - 3) + 3*k + k**2 - 3*k) in the form j + m*k + f*k**3 + w*k**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66122 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29678?\nAnswer: 2, 11, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*k + 3*k - 78, 7*k = -5*o + 362. What is the smallest common multiple of o and 11 + -3*(-2)\/(-3)?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyxjjjxj. What is prob of picking 1 x and 1 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 62. Let j be 3*(-7)\/3*x. Let v = j - 25. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 8 (c) -5 (d) 2\/7 (e) -2\/13 (f) 0.178\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22432813 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3161, -3445, -3609, -3635, -3505, -3201, -2705?\nAnswer: -1999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 350742683 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 6*s**2 - 164*s - 24. What is i(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -1334\/9 - 104\/9*t - 2\/9*t**2 = 0. Calculate t.\nAnswer: -29, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 9*g + 10. Let h(f) = 10*f + 11. Let r(l) = -6*h(l) + 7*q(l). What is r(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2 = -3*g, 11 = 5*a - 2*g. Let l(k) = -3 - 14*k**2 + a. Let w(t) be the second derivative of -t**3\/6 - 9426*t. Calculate l(w(f)).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**3 - 211*w**2 - 75*w - 1403. What is h(-35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 - 2. Let r be (-21)\/9 + -3*8\/(-18). What is the nearest to r in -0.4, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 20372*o**3 - 20369*o**3 + 1 + o**2 - 8*o**4 to c*o**2 + z*o**4 + i + w*o**3 + f*o and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**5\/13 + 636*g**4\/13 + 4374*g**3\/13 + 6220*g**2\/13 = 0.\nAnswer: -311, -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -2\/19 (c) -0.2 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/(2*(-9)\/(-6))*(-5784)\/14460.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 530682948 divided by -269109?\nAnswer: -1972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/7531 or 0?\nAnswer: -6\/7531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -367.1518*5.\nAnswer: -1835.759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1290 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 9.629.\nAnswer: 9.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - (-5*(-4*sqrt(170) - sqrt(170) - sqrt(170)) - sqrt(170))) + sqrt(170))\/((sqrt(100)\/sqrt(5))\/sqrt(2)))**2.\nAnswer: 12393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 50*w + 604. Let c be s(-12). Solve -l + 3*d + 16 = 0, -l + 5*l = -3*d + c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b**2 + 3*b - 3. Let o(p) = -p**2 - p. Let l(s) = -n(s) - 6*o(s). Let r be l(-2). Let g = r + 20. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*l**3 - l**2*m**3 - 13*l*m + 3*m**3 wrt l.\nAnswer: -624*l - 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(6 - 9 + 16)*(-2*p - 7*p + p) - 3*p + 91*p - 5*p.\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*x**2 + 81*x**2 - 41*x**2 - 144*x**2.\nAnswer: -252*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 799021734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v + 516 - 1542 + 522 + 510 + v**2. Let h = 90 - 92. What is s(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**3 + 5*h**2\/2 + 1118*h. Let m(l) = -6*l - 4. Determine 3*m(b) + 2*p(b).\nAnswer: -6*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 v, and 2 b when four letters picked without replacement from jbmmbvvmmbvvfv.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y + 102. Let t be o(-23). Let m = t - -66. Solve -2*x - 3*a + 13 = 0, 4*x + 3*a + 4 = m*a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**3 - 3*a**2\/2 + 4*a - 4. What is j(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + i**2 - 3*i - 1. Suppose 5*a + 10 = 0, 4*a - 5 - 2 = 3*b. Let j = -7 - b. What is the tens digit of g(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g + 2*o - 9, 0 = -4*g - 2*o + 8. Let h = 2 + g. Determine c so that 1\/3 - 1\/3*c**2 + 4\/3*c - 4\/3*c**h = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*-7*(-70)\/49.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -506360330, -506360324, -506360306, -506360270, -506360210, -506360120, -506359994?\nAnswer: -506359826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.79909887 + 1065.\nAnswer: 1071.79909887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2983*v**2 + 368*v**4 - 2983*v**2 + (4*v + 0*v + 2*v)*(3*v**3 - 3*v**3 - 2*v**3) + 4*v**2 + 2*v**4 - 4*v**2.\nAnswer: 358*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.5 - 2.7. Let m = a - -0.9. Let r = 0.4 - m. What is the second biggest value in 0.1, 0, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpip when four letters picked without replacement from jjjjpijijjiiijpppijj?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {z: 4, y: 1, f: 9}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**4\/60 - x**3\/30 - 3*x**2\/5 + 12*x. Determine f so that g(f) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -606 divided by -17?\nAnswer: 606\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14149 + -12448. What is the greatest common factor of 252 and d?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 148*a + 1383*a - 41*a + 42*a as q + g*a and give g.\nAnswer: 1532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -2 (c) 24308 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 2*u**2 - 5*u + 4. Let a be b(-3). Solve 2*n + 2*r + a = 0, 2*n + 6*r - 14 = 10*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -1.6906?\nAnswer: 6.7624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = o + 20. Let y(f) be the first derivative of -f**2\/2 - 2*f - 52. What is y(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1199 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 23*v. Let l(q) = 4*q. Let t(n) = -34*l(n) + 6*y(n). Let p(x) = 3*x + 3*x**2 - 3*x. Determine t(p(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -2*u - 8, -5*u - 2728 = -20*i - 3068 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44 or -707?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001980069 to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(((q\/((q\/q**(2\/15))\/q))\/q)\/q))*q\/((q\/(q*q**(-3\/10))*q)\/q))**(-28) assuming q is positive.\nAnswer: q**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5359767 by -49.\nAnswer: -109383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*m + 6*m = 22*m - 8239. Solve -4*r - 87 = -m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 12:54 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 4*a**2 - 5*a - 10. Let g be x(5). Calculate the smallest common multiple of 7 and ((-12)\/30)\/(2\/g).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - v + 7 = 0, 3*v - 8 + 9 = -4*s. Solve -25*n**s - 62*n**4 + 4*n**2 + 6*n - 18*n**2 + 54*n**3 + 17*n**4 + 24*n**3 = 0.\nAnswer: 0, 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 75. Let a = z + 126. What are the prime factors of a?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 0)*(0 - 2 + 4)*(12*o**3 - 12*o**3 - 11*o**4).\nAnswer: 88*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 6*v - 20. Let k(r) = 4*r**3 - 2*r**2. Let c(b) = -7*b**3 + 4*b**2. Let l(z) = 4*z**2 + 46*z + 19. Let w be l(-11). What is v*k(y) + w*c(y)?\nAnswer: y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 429 divided by 11\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 79 - -6) + (-5 - (19 + -5))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y - 38 + 11 - 2*y.\nAnswer: 9*y - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x**2 + 177*x - 736. Let i be o(20). Solve -6*n = i*h - 2*n - 16, 0 = h + 3*n - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 92 = -5*x - 372, -2*x - 82 = 4*c. What is x rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1542 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = j + 59. Let g be 24\/(-96) - 1\/4*j. Find the second derivative of -28*o**4 - 30*o**5 + g*o**4 - 32*o + 19*o wrt o.\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 10) in base 9?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 26 = g, 22*g + 6 = 19*g. Solve -6*f = -0*f + k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 + 47*a + 70820. Calculate t(-146).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 491, 477, 449, 407, 351, 281?\n\"Answer: -7*k**2 + 7*k + 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-7 - (0 - 6)) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 675454014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 16 = -0. Suppose 10*i = a*i - 760. Let x = 548 + i. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 11*m**3 - 1674*m**2 + 1674*m**2 in the form q*m**3 + v*m + h + t*m**2 and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 522757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) - (66\/(-8) + 3). Suppose x*t = -2*g + 130, 3*t + 2*t + 90 = 2*g. What are the prime factors of g?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -59\/20*h**5 + 29\/12*h**4 + 0*h**3 + 6 + 0*h**2 + 2*h. What is the third derivative of a(t) wrt t?\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -9*v**2 + 78*v + 8. Determine l(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -17. What is the remainder when n is divided by (-3)\/(-1 - (-28)\/49) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1118 divide 203343467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -1. Let m = 20 - y. What is the highest common divisor of 110 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 12. Solve 5*m + 6 = v + 1, w = -4*m - v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000827081 rounded to 7 dps?\nAnswer: -0.0000827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-189)\/90)*(-1)\/(27\/(-63)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.01 (b) 9 (c) -2\/11 (d) -0.015 (e) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5 - 1354180*y**4 - 229213246136*y**3 + 4126147188496*y**2 - 22006638356224*y + 29342415594496 = 0.\nAnswer: -338554, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1617) + (sqrt(1617) - ((sqrt(1617) - 2*sqrt(1617)) + sqrt(1617))) + sqrt(1617))\/(1*sqrt(891)) + 1 + 4.\nAnswer: 7*sqrt(3)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 - -0.2814.\nAnswer: 0.4214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1220, -5, -4\/7, 0, -30?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127 - -126.6. What is the nearest to 0 in u, -1\/5, -2\/7, 3\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*m**2 - 100*m + 100*m - 31*m**2.\nAnswer: 139*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -18. Sort -4, a, 5 in increasing order.\nAnswer: -4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 1*(-2 - 0). Which is greater: 2\/25 or y?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14376.36 centuries in decades?\nAnswer: 143763.6","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 25*i**2 - 3*i - 19. What is k(25)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91\/960 - 1\/192. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.12 and 194.61.\nAnswer: 194.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 1 - 7, -226 = -4*s + t. What is the first derivative of 31*g**3 + 43*g**2 - 29*g**3 - 9*g**2 - 100 + s*g**2 wrt g?\nAnswer: 6*g**2 + 182*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 6:49 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.46 + -5.46. Put o, 0.5, 10, -4 in ascending order.\nAnswer: o, -4, 0.5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**3 + 2*a**2 + 3*a - 1. Let q(r) = 8*r**3 - 3*r**2 - 5*r + 2. What is -3*q(i) - 5*v(i)?\nAnswer: -4*i**3 - i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -303923?\nAnswer: -182353.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + -2 - -1) + (11 + 147 - 185)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {y: 1, o: 4, n: 5}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19701372809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 125033 + -125031. Solve -8\/3 - 5\/6*o**4 - 32\/3*o - 16\/3*o**3 - 12*o**n = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2356750*z + 1892280.\nAnswer: -2356750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(6\/13))**(-46)\/(o\/o**(5\/11))**(-6) assuming o is positive.\nAnswer: o**(-2568\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19897, 19862, 19809, 19738?\nAnswer: 19649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**6\/120 + l**3\/3 + 1. Let u(w) be the third derivative of n(w). Let x(m) = 8*m**2 - m - 9*m**2 + m. What is x(u(f))?\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 533\/65 + (-176)\/80\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1663 + -1649. Solve -a + 2 = -2*n - 2*i, n - 3*i = 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61 and 12139.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1473320 and 11786560.\nAnswer: 11786560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -14. Let h = -102 + 103. What is the third biggest value in 2, h, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -16 + 13 + 778*i - 791*i. Suppose 98*k = 93*k + 15. Let l(y) = 117*y + 26. Determine k*l(z) + 26*f(z).\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.12531232*-0.06\nAnswer: 0.0075187392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 73*o - 28 + 34 - 88. Is i(-51) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15649, 62606, 140827, 250312?\n\"Answer: 15632*a**2 + 61*a - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 + 3221*h**2\/3 + 44938*h\/3 + 42760.\nAnswer: (h + 4)*(h + 10)*(h + 3207)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 56885 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70331 is divided by 341?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3 - 135*j**2 - 26464*j + 53460 = 0.\nAnswer: -110, 2, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30004170 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2316549\/112 + -20682. Is u at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136884, 273763, 410642?\nAnswer: 547521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -z + 3*r, -5*r + 2*r - 42 = -3*z. Solve 5*m = z + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**3*s**2 - 3*n**3*v**2 - 2*n**2*s**2*v**2 + 2*n**2*v + 3*s**2*v**2 + 4*s**2 wrt v?\nAnswer: -6*n**3 - 4*n**2*s**2 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -12, -27, -2, 8, 29 in descending order.\nAnswer: 29, 8, 4, 0, -2, -12, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*((-3)\/(-6) - (-1 + 2)). Suppose -4*z = -b*z + 4*a - 40, 4*a = -2*z + 14. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*q = -68772, -8*i - 5*q = -5*i - 51577. Calculate the remainder when i is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*b + 65. Let c = -46 - b. Calculate the remainder when c is divided by (17 - -3)\/(-5) - -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-176)\/340 + (-6)\/(-15). Let w = 34 - 34.5. Sort 1, 3, w, t in decreasing order.\nAnswer: 3, 1, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843738 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: Let f(o) be the second derivative of -o**4\/20 + 16*o**3\/5 + 111*o**2\/2 + 1688*o. Factor f(w).\nAnswer: -3*(w - 37)*(w + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82 and 179121?\nAnswer: 14687922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10)*r\/r**(-3\/8))**(-3\/5)\/((r*r**(2\/3))**29*(r\/(r\/((r*r**(2\/5))\/r)))**(19\/2)) assuming r is positive.\nAnswer: r**(-1127\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen ninths of a day?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l + 2. Factor -3*k**2 - 3*k + 2*k**2 - 2*k**l.\nAnswer: -3*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/193 - 1045\/3088. What is the common denominator of f and 53\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - 5*z + 9*z)*(1673*z + 1834*z + 49*z) to the form d*z**2 + c*z + n and give d.\nAnswer: 24892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.3 (b) 5 (c) -2\/9 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + r - 99, 13 = v - r - 20. What is the remainder when (-587)\/(-3) - 4\/(-12) is divided by v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319584 divided by 188512?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2*h + 12, 3*d + h + h = 8. Suppose 4*g + 2*f + 3*f - d = 0, -2*f = 2*g - 2. Let z = g + -1. Do 3 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10774514 to the power of 1\/2, to the nearest integer?\nAnswer: 3282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/14? (a) 0.3 (b) -27298\/7 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -208 + 361. Suppose 359 = 8*x - s. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33595, -33613, -33633, -33655, -33679, -33705?\nAnswer: -33733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*j + 0*j - 12*j)*(7*j**2 + 7*j - 7*j) + (-3*j - 2*j + 6*j)*(-2*j**2 + j - j).\nAnswer: -247*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17912 = -49*q - 18047 + 33215 for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -315 + 2*t**2 + 104 + 110 in the form l*t**2 + q + k*t and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(2\/(-3))*4. Let n = o - 4. What is the lowest common multiple of 10 and (n + 0\/(-3))\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*t + 8 = 0, 4*t + 3 = -4*g - t. Sort -0.4, g, -0.5 in ascending order.\nAnswer: g, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s - 4. Let h = -1172 - -1168. Let q(t) = t - 2*t + 5 - 5 - 3. Let b(z) = h*q(z) + 3*v(z). Let k(o) = 12*o**2. What is b(k(p))?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plru when four letters picked without replacement from {l: 2, u: 1, p: 2, r: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19\/265 - 3\/106. Let j = 3.5 + 2.9. Let z = j - 6. Put z, k, 0.5 in ascending order.\nAnswer: k, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21461 - 330*q**3 - 3*q**2 - 4*q + 21461 + 2*q**2 as u*q**3 + a*q + y*q**2 + f and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 2)*2\/6. Let z be (9\/(-12))\/(1\/4). Let s = r - z. What is the remainder when 2 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 994 and 67056731.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082912651 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21313204300 + 1?\nAnswer: -21313204244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 891 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 496 - -557. Calculate the remainder when r is divided by 176.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -692 + 341 = 5*p + j - 330, -44 = 4*j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/1540 and 113\/14.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 378670000 rounded to the nearest one million?\nAnswer: 379000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 4, -114, 9, 2, -4 in decreasing order.\nAnswer: 9, 4, 3, 2, -3, -4, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1048 divided by -4\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3 = -6. Suppose -p = n, 3*h + 5*n + 3 = 67. What is the remainder when h is divided by (-1 + 4)*(-8)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(2\/1 + 15\/(-12)). What is the closest to -0.1 in s, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1099\/5 + -697\/5. Let p = y - 80. Sort -4, p, 4 in descending order.\nAnswer: 4, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 4) to base 11\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2 - (-234 + 209)) + -102.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -9\/2. Let m = 0 + -1. Let a = 2 + m. Is u less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 84\/49 + (-4)\/(-14). Find the third derivative of 5*k**2 - 6*k**o + k**4 - 4*k**4 wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + d + 756*d**2 + 747*d**2 - 1503*d**2 + 1220*d**3.\nAnswer: 1220*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -990 - -1005. What is the remainder when 95 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-121 + 119)*(399\/(-42))\/19\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/12 and (-295444)\/(-262944) - 207\/184.\nAnswer: 32868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3840 - 2625. Let b = s + -26725\/22. Is b not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457353943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-3*2\/(-16)*(-1776)\/(-3996).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10868752, -21737511, -32606270, -43475029, -54343788?\n\"Answer: -10868759*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35226 + 2*t**2 - 11724 - 11734 - 11768 + 9*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 4)*(2*m - 2*m - m)*((4 - 4 - 2)*(-2*m + 0*m + 3*m) - m + 3*m - 3*m + (0*m + m + 0*m)*(-3 + 0 + 7)) to the form d*m + w*m**2 + h and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**3 + 21*v**2 + 12*v - 27. Calculate p(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 8:06 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1066 - 1?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 3:52 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61\/130 + 2\/65. Let n be ((-25)\/(-6))\/(74 - 69). Determine j so that 1\/6*j**4 + 1\/6*j**3 - v*j**2 - 1\/3 - n*j = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208 and 18?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**2 + 1585*o**4 - 725*o**4 + 184 - 724*o**4 wrt o.\nAnswer: 544*o**3 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a5714 + -7b?\nAnswer: -a5793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4349, 7511, 39687, 102337, 205619, 359691, 574711, 860837?\nAnswer: 1228227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 5)*(113 - 113 - 71*j) + (-1 - 4 + 4)*(-j - j + 4*j + (2 - 6 + 3)*(-2*j + 0 + 0)) + j + 0*j + j.\nAnswer: 211*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 85651.15 nanograms?\nAnswer: 0.08565115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5946 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17126 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f*l**6 - 2*f*l**2 - 12*f*l + 6*f + 440*l**4 + 6*l**2 wrt l.\nAnswer: -360*f*l**3 + 10560*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-201592)\/24 - -3*(-3)\/27. Round f to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-14)*2 - 0. Let n = 37.936 + -41.936. Which is the nearest to 0.1? (a) j (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2846.116g in milligrams?\nAnswer: 2846116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziozooooozozozozozo. What is prob of sequence zio?\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {p: 1, c: 1, z: 1, r: 1, v: 1, i: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 15 + 21 - -2 - 10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43252 < 735280\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 55831189 (b) -0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, -3, -16, -1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/22 and 81\/470.\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -32796.7.\nAnswer: 6559.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.5453 millennia in months?\nAnswer: 1338543.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -394.5 - -392.8766. What is u rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.25 rounded to 1 decimal place?\nAnswer: -21.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - y - 1, -2*y + 16 = -9*d + 6*d. Sort d, 1, 9 in ascending order.\nAnswer: d, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 - 38. Suppose -44*m = -p*m - 16. What is the derivative of 6 - 157*t**4 + 51 + 120*t**m - 17 wrt t?\nAnswer: -148*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**2 - 4*d + 2*d**2 + 2*d**2. Let l be n(-6). What is the units digit of 10\/4*l\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-172)\/1290)\/(-4*(-1)\/(-198)*3)\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + 15*s - 15*s)*(0*s - 3*s + 5*s).\nAnswer: -4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**3 + t**2 - 1. Let r be v(1). Let m be (r\/(-4))\/(2\/8). Let d = m + 5. Solve -5*p - 5 = -5*j, 0 = 3*p - j + d + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455317491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Suppose -2*o + 1 = z - 7, -5*o + l*z = -11. Suppose -2*b - a = -9, -o*b + 4*a = -7*b + 28. Solve -5*t - 2*v = 12, -b*v = -5*t - 0*v - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4392 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2393*n = -2387*n + 42 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14237.787 + -14298.1. What is n rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504264 divided by -3?\nAnswer: -168088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 363039, 1452219, 3267517, 5808933, 9076467, 13070119, 17789889?\n\"Answer: 363059*x**2 + 3*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16e81 - -28?\nAnswer: -16e58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -6*b + 5. Let j = -116 + 114. Sort b, -5, j in descending order.\nAnswer: b, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*o + 3*o**4 - 8*o - 4*o**4 wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -779 (base 13) to base 9\nAnswer: -1675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -3*j**4\/2 + 43*j**2 - 1. Let s(x) = -4*x**2. What is s(t(z))?\nAnswer: -5184*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4746359 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18041352*a**2*m**3 + a**2*m**2 - 4*a**2*m + 37*a**2 - 1084*a*m**2 + a*m - 3*m wrt m.\nAnswer: 108248112*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017597287 to six dps.\nAnswer: -0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-8308)\/26598 + 36\/99\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 57. Let n = -19 + 13. Is g at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 20 + 8 = -3*a, -5*a - 3*u = 70. Let q be 30\/165 + (-42)\/a. What is the nearest to 0 in -1\/3, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (2988\/2)\/6 + -9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -1210 + 990. Calculate the remainder when 281 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 2680?\nAnswer: -2676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.1 (c) -3134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*h - 3*h + 34 = 0, 0 = -3*p - 2*h + 19. Suppose 0 = -p*m + m + 12. Solve -1 = -q - m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 1, -40 in decreasing order.\nAnswer: 1, -18, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235412 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4172\/11 - -379. Let z = 48.6315 - 0.0315. Let s = -49 + z. Which is the biggest value? (a) s (b) t (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*a + 5*p - 22, 20 = 3*a - 2*p. Let x be a\/(-12)*3 + 3. Suppose -6*g + 126 = -3*g. Sort x, g, -1 in descending order.\nAnswer: g, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (-5 - (10 - 6) - -10) - 2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(6\/11)*l)\/l)**(2\/139)*(l**(-8))**(6\/17))**(-12\/5) assuming l is positive.\nAnswer: l**(878256\/129965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15\/2 - 7. Let i = 174 + -176.93. Let f = i - 0.07. What is the nearest to z in -0.5, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 4:38 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*l + 2*y - 18, 0 = 5*l + 4*y - 40. Solve l*i = -5 - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.202925996632+-0.1\nAnswer: -0.302925996632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 239668531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -326197669*l**2 + 248279231*l + 1.\nAnswer: -652395338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -15*l - 12. Let s(t) = -6*t - 5. Let m(h) = 5*k(h) - 12*s(h). Let x(r) be the third derivative of -r**3\/6 + 633*r**2. Give m(b) + 2*x(b).\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 164 in descending order.\nAnswer: 164, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8091 - 243*v**2 - 8091 - 445*v**2.\nAnswer: -688*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -143, -3\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 118 + -115. Suppose -c*a = 5*i - 201, -14*i - a + 123 = -11*i. What is the highest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3572 = -k + 1185, -4*k - 8 = 0. Let w = u + -474. Solve 29 = -5*x + x - 5*f, 0 = -3*x - w*f - 18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-8))\/((2\/(-2))\/1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnknknknnnnkk. Give prob of picking 3 n.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 268 + 1948. Suppose 5*o + 20 = 0, k = -v + 5*v + 4*o. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6408\/647087 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 1935.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1414868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 + 4*u\/3 - 2.\nAnswer: 2*(u - 1)*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + (sqrt(539) + -3)*5 - (sqrt(539) + 2 + 1 - sqrt(539)).\nAnswer: -18 + 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11020 (base 3) to base 7.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -9. Suppose 3*m - 25 = -i*v, 20 = 4*v + m + 4*m. Calculate the remainder when v is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 242586c - -1?\nAnswer: 242586d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 307384 and 405216.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -54a - -78287?\nAnswer: 77838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4199 divided by 17.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/7 - 34*d**3\/7 - 290*d**2\/7 + 46*d.\nAnswer: 2*d*(d - 23)*(d - 1)*(d + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a920 - 18?\nAnswer: -a938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2205 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -0.8294?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 285 (b) -5 (c) 7 (d) -33\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/105)\/(((-234)\/1755)\/(4\/6))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b - 3*x, 6 = -b + 3*b + 4*x. Suppose 20 = -b*o + 30. Solve 3*j = -o*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103600524?\nAnswer: 2, 3, 8633377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 3. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 + -110084.\nAnswer: -110084.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2856581kg to milligrams.\nAnswer: 285658.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 14 + 6 = 0, -2*q - 11 = -x. Suppose 5*r - 5*h = 5, -x*r + h + h = -5. Solve a = -r*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -15. Let j = 4 - r. Let o = -0.07 + 4.07. What is the closest to j in 1\/2, 2\/21, o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/25 and (58\/(-45))\/(132\/(-7150)*-78)?\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100034 (base 7) in base 14?\nAnswer: -61c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4\/2 - 11148*c**3 + 445533*c**2\/2 - 144737*c - 1269732 = 0. Calculate c.\nAnswer: -2, 3, 19, 22276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g - 116 = -46 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29*(-410)\/17835 + (-100)\/148?\nAnswer: -1\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5638 + 5641. Let b(j) be the third derivative of 0*j + 0*j**u - 1\/24*j**4 - 2*j**2 + 0. Let v(h) = -4*h. Calculate b(v(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*y**2 + 359 - 359)*((-9*y**2 - 7*y**2 + 13*y**2)*(0 - 1 + 2) + (3*y - 4*y + 2*y)*(2*y - 4*y + y)).\nAnswer: -212*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 - 57 = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*s - 114*s + 262*s - 42*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*z + 917, 0*g + 3*g = -z + 1356. Suppose 4*l + 4490 = 9*l + 4*b, -5*b = 0. Let x = l - g. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r - 16 + 16)*(14 + 6*r - 14).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.92 + -7.02. Let r = -1 - 3. What is the nearest to p in -0.5, -2, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*1\/((-2)\/4). Let j be f\/1 - (-28)\/18. Let n be 1\/3*0\/(-24). Which is the second smallest value? (a) 0.5 (b) j (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-1) - -51*(-3 - (-1985)\/645)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 11:02 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = h + 4*z, -3*z + 213 = -4*h - 0*z. Let p = 52 + h. Solve 2*t + p + 3 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -14. Let y = 15 - o. Suppose 0 = -2*s - y. Do -7 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 = -3*i. Suppose 5*d + 2*t = -0 + 32, -4*t + 22 = 3*d. Suppose 11*v = d*v. Which is smaller: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-246)\/(-15) + 3\/5. Let g = 10 - l. Let z(r) = -r**2 - 9*r + 2. Let j be z(g). Solve -t - j = 2*w - 3*t, -2*w + 14 = 4*t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1446)\/25)\/(0 - 16\/660). Let y = h - 2388. Suppose 2 = 5*g - 3, -5*g = -5*x - 20. Do x and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*z - 12, -2*i + z = 1. Let f be -1 - (i - (3 + 2)). Suppose -b = b - f. Solve -4*g - 2 = -b*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 1275929?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 503063 divided by -6\nAnswer: -503063\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (202\/(-496) - 269\/(-8339)) + 165\/(-8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 51\/(-9) + (-2)\/6. Is 35 a factor of ((-12)\/(-15))\/(l\/(-885))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65600066*f*o**3 + f*o + 138986*f - 2*o - 34 wrt o?\nAnswer: -393600396*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000 + 10010011?\nAnswer: 10111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -21*l**2. Let o(f) = 128*f + 152. Let z(y) = 2*y + 19. Let b(q) = 2*o(q) - 16*z(q). Give b(u(k)).\nAnswer: -4704*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5709 and 17300?\nAnswer: 570900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5342 - -5342.0392. Round p to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 4*x - 2*o, -3*x + 5*o = 9*o + 47 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = -383*v - 5460 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145759 is divided by 145676?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 81*m - 260 + 17. Solve h = 9*n - 6*n - m, 4*h = -3*n + 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 2\/7, 3, 0.5, 2\/11, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 2.2, 0.5, -1154\/7 in descending order.\nAnswer: 2.2, 0.5, 2\/15, -1154\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c - 3*c + 0*c + 4*c + 1. Let f(v) = -19*v + 4. What is 2*f(g) - 7*w(g)?\nAnswer: 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -349 and -0.6.\nAnswer: 209.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 3 + 7 - 8055*t**2.\nAnswer: -8055*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 5*o + 27, -3 = -d + 4*o - 25 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*f - 0*f - 4*l, 2*l - 7 = -f. What is the third derivative of f - 10*h**2 - 4*h**3 - 1 + 8*h**2 wrt h?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + v = 8, 5*v = 3 + 7. What is the units digit of 9\/(36\/176) + (0 - k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 11:29 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w**4\/13 + 174*w**3\/13 - 138*w**2\/13 - 20*w\/13 = 0.\nAnswer: -1\/8, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.4 - 9.9. Let x = 0.5000255 + d. What is x rounded to six decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**2 + 27*g + 202. What are the prime factors of f(-16)?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107730 divided by -133?\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 15 and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n - 51. Let r = 160 + 10. What is the remainder when r is divided by k(14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14410 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.48 + -0.52. Which is the smallest value? (a) -1\/4 (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*y**2 + 0 + 6\/5*y - 3\/5*y**3.\nAnswer: -3*y*(y - 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 16 - 34. Let g = -432 - -439. What is the least common multiple of g and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**5\/120 - l**3\/3 + l**2. Let p(d) be the first derivative of m(d). Let z(q) = -q**2. Calculate p(z(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 38, -4, -1\/3, -0.5, 2 in decreasing order.\nAnswer: 38, 2, -1\/3, -0.4, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 7:44 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(2 + -5) - (-62 + -3012)\/53?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 12*y**2 - y + 10. Determine g(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -224 + 0*f**3 + 52 - 2*f**3 in the form k*f + u*f**2 + x*f**3 + m and give m.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2200 (base 6) to base 4\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u\/(u**(-2)\/u)*u))\/(u*u\/((u*u**2*u)\/u)*u*u))\/(u**(2\/23)\/(u\/u**1)))\/((u*u*(u\/(u**(-1\/2)\/u))\/u)**(-14)*(u**0*u)**(-46)) assuming u is positive.\nAnswer: u**(2045\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 1. Suppose y*b - 6 = 3*b. Solve -k = 2*k + b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 4\/5, 4, 1\/17, 19\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1887, -4, 2 in decreasing order.\nAnswer: 2, -4, -1887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/8, 0, 1\/2, 1\/9, -0.5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 18\/23891867?\nAnswer: 18\/23891867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 21, -146*m + 678 = -144*m - 2*k. What is the nearest to -1 in 5, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7477.277 years?\nAnswer: 74.77277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + 32. Let r be -2 - (-4)\/((-8)\/366). Let k = -106 - r. What is the remainder when k is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26326 or -26328?\nAnswer: -26326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.854 - -2.554. Which is the closest to -0.2? (a) -2 (b) 1 (c) w (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158608 is divided by 31720.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 500194.6 nanoseconds?\nAnswer: 0.5001946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5405*g - 54 = -5414*g. Let r = -11 + 15. Calculate the remainder when 19 is divided by (-2)\/r*-2 + g + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8027683?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-147)\/(-6) + 119987\/(-3934)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (2 - (-5 + 11)) + -11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 9*k**2\/2 - 2*k - 503. Give s(-7).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 841368573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -102, -79, -4, 153, 422, 833, 1416?\n\"Answer: 5*r**3 - 4*r**2 - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11212120 (base 3) in base 7?\nAnswer: -13233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*q*t**3 + 4*q*t - 9*q + 49 wrt t.\nAnswer: 12*q*t**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 148\/3 - (-2368)\/(-1776)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/4)*n*n*n**(1\/2)\/n assuming n is positive.\nAnswer: n**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -1\/2*t**3 + 0 - 1\/4*t**4 + 0*t**2 + t. Find z, given that h(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 420886 and 431902.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 + 147 = -3*u. Solve 20*v - 5*v**5 - u*v**3 - 36 + 50*v**2 + 13 - 17 - 20*v**4 = 0 for v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 y when three letters picked without replacement from {y: 3, u: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -13, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38 + 45 - 26)*(-46*p**2 + 115*p**2 - 17*p**2) to the form w + z*p + v*p**2 and give v.\nAnswer: 2964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(276\/96) + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -37*o**3 - 119*o - 10. What is the derivative of c(j) wrt j?\nAnswer: -222*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4856206072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 430000*a. Suppose -3*m - m = 0. Suppose -4*g = -m*g - 40. Let d be i(g). What is d rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/9))**(-22)*(((x**(3\/8)\/x)\/x)\/x*x)\/(x\/x**5))**(2\/49) assuming x is positive.\nAnswer: x**(-181\/1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-19164034\nAnswer: -19164034.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*b = 162, -4*a + 758 = -0*b + 2*b. Suppose -4*s + a = 27. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13984342 is divided by 6992124.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azs when three letters picked without replacement from zusaa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 548273273693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 103115 divided by -5\nAnswer: -20623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.28 + -4.78. What is the second smallest value in g, -2, 0.16, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(24\/(-10) - -2). Suppose 8*v - 286 = -334. Let a(l) = -3*l**2 + 5*l + 1. Let f(i) = 1 + 0 + 4*i**2 - 6*i - 2. Give u*f(h) + v*a(h).\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 63, 53, 31, -9, -73, -167, -297, -469?\n\"Answer: -z**3 - 3*z + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w + 32. Determine n(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375*t - 183 = 942. Let k(i) be the third derivative of i**5\/60 - i**4\/8 + 2*i**3\/3 - i**2. Give k(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6609096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsyjhhusj. Give prob of sequence utjs.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-2))\/((-30)\/80). Let k(o) be the second derivative of -o**3\/2 + 9*o**2 - 62*o. What is the tens digit of k(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*v - 55. Solve -v = -5*r + r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (96437\/(-1331))\/((-1)\/11) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 - (-78)\/120. What is the second biggest value in y, 0.3, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 4*x**2 + 13*x + 26. Let l be w(-4). Let k(b) = -152*b - 15. Is k(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(7\/6)\/(z**9*z*z) assuming z is positive.\nAnswer: z**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10498 = 3*u - w, -2*w - 2*w + 13992 = -4*u. Round u to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*9\/36*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k - 252 = -7*k + 4*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14570 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2314 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5*(sqrt(1377) + 1) - -4*sqrt(1377)*-2)*-5 - (-3*sqrt(1377) + -2 + sqrt(1377)*2 + 0))**2.\nAnswer: -6624*sqrt(17) + 353046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 15 - (-3 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*v**2 + 26*v - 26*v)*(0*v - v + 4*v + (2 - 4 + 1)*(0*v - 2*v + 0*v) - 3*v + 3*v + 2*v - 2*v + 0*v + v).\nAnswer: -288*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 - 128. Let b(r) = -2*r**2. Calculate d(b(l)).\nAnswer: 12*l**4 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t**(-1\/4)*t)\/t))**(-28))**(2\/21) assuming t is positive.\nAnswer: t**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**2\/2 + 203. Let k(a) = 315*a**2. Calculate b(k(u)).\nAnswer: -315*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/36)\/(-1*4\/48*-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30910 and 1947330.\nAnswer: 1947330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 35*v**3\/6 - 21*v**2 - 43*v + 41. Let y(c) be the first derivative of z(c). What is the first derivative of y(h) wrt h?\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-2))\/(3\/(-6)). Is w < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17286 + 155384\/9. Let d = g + 2489\/126. Calculate the common denominator of -2*((-12)\/112)\/((-6)\/214) and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-1 - -1 - -1) + -55 + 53?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21149086.8*1.\nAnswer: 21149086.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 4*k**2 + 6*k + 5. Let n be r(-5). Suppose 5*b - 16*b + 1738 = n. What are the prime factors of 2*((-8)\/(-16))\/(2\/b)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 11*a - 333 = 0. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**6\/u**(3\/4)*(u**0\/u)**(1\/5))**26)**(-2\/27) assuming u is positive.\nAnswer: u**(-1313\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 246593763?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 119766463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24, 20, 92, 192, 320?\n\"Answer: 14*g**2 + 2*g - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.84 + -29.34. Round r to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -35*n. Let d be k(-12). Let i = 778 - d. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7664, 30449, 68428, 121601?\nAnswer: 189968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zggg when four letters picked without replacement from gzzzgzg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 2:34 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) -0.5 (c) -410 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + j**2 - j**2)*(-2*j + j + 372*j**2 - 349*j**2).\nAnswer: 23*j**4 - j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -787, 1\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2856.059 to zero decimal places.\nAnswer: -2856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**7 + p**3\/3 + 3. Find the third derivative of z(q) wrt q.\nAnswer: 840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 1\/9*a**3 + a + 2\/3*a**2 + 9. Factor w(h).\nAnswer: (h + 1)*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65059534 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/150 and -11\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 928?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -1)*3 - (2 + -13). Suppose -x = -5*p + 4, k + 4 = -4*p. Sort -5, 4, x, -1 in descending order.\nAnswer: 4, -1, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 472 divide 1513704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -56 - 20*k - 33*k**2 + 283*k**3 + 91*k**3 + 238*k**3 + 243*k**3 + k. Let a = 81 + -57. Let y be u(a). Round y to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**3 + 2*p**2 + 3*p - 61. Determine h(7).\nAnswer: 1430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3594493103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6180.2 less than 47.4791?\nAnswer: -6132.7209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15\/(750\/440) + (-2)\/(-10) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 10*k - 43. Let d be a(-13). Let i be -3*(-6)\/((-1)\/(-1)). Is ((-5028)\/i)\/(d\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-20) + 33\/60.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 455136 and 1472?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5 - 6 + 2. Let x(w) = -2*w + 10. Let h(c) = 4*c - 35. Let m be h(9). Let n(k) = m*x(k) - 4*v(k). Give n(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 113 (b) 2.6 (c) -3\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h + 3*k - 2482 = 0, -2*h + 1234 = -2*k. Suppose -5*b = 2*d - h, 6*b = 2*b + 2*d + 506. Which is greater: 124 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -27*k + 459. Let n be m(17). Factor 8\/3*y**3 + 0 + n*y + 0*y**2 - 4\/3*y**4.\nAnswer: -4*y**3*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 1 + sqrt(36)\/(sqrt(72)\/sqrt(6)))**2.\nAnswer: 12*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3 + 5 - 2 + n. Let q be w(0). Let m = q - -2. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 649531.8 rounded to the nearest 100?\nAnswer: 649500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -1126*j - 99084. Give p(-88).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 25*n**2 + n. What is u(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 895 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1099 = -125*j - 155 - 371 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1516328, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/20 + (-200)\/22)*(-24)\/6.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**3 + 9*m**3 + 4*m**3 - 9*m - 2*m + 2*m.\nAnswer: -m**3 - 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.814498l in millilitres?\nAnswer: 5814.498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2\/5 + 194*x\/5 = 0.\nAnswer: 0, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33626 (base 7) to base 2.\nAnswer: -10000101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 11 - (-2 + 11) - 44 - 6.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from {c: 3, z: 1, t: 2, g: 1, a: 5}.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.423, 0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.4 (c) -78 (d) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414*u - 18*u**3 + 456*u + 253*u + 413*u.\nAnswer: -18*u**3 + 1536*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*w + 0*w**2 - 3*w**2 - 3*w**2 + 3*w**2 wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -404 - -416. Solve -11 = 2*q + a - 3, -3*q + 5*a - r = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 11*s. Let g(a) be the first derivative of 5*a**2 - 10. Calculate g(m(o)).\nAnswer: 110*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {b: 5, v: 1, c: 14}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 1 - 3)*(3*l + 3*l - 4*l) + 5 - 3*l - 5 - 2*l + 5*l - 4*l)*(-4*l**3 + 2*l**3 + 0*l**3) in the form q*l + w*l**3 + u*l**2 + d*l**4 + o and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5060 (base 7) to base 16\nAnswer: -6dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 87866 = 5795. Does 43 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 6. Let f be k(12). Suppose 3*y = 13 + 29. Let q be (y\/(-2))\/((-2)\/(-2)). Which is greater: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*g = -2*a - 12, 5*g = -5*a - 10. Suppose 2*y = -4*z + 6, -7 = a*z - 3*y + 2. Solve -b = -z*s - 3*s + 17, -4*b - 36 = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/28 - (-24)\/7. Suppose -4*j + 6*j**5 + 12*j**3 + 16*j**v + 0*j + 2*j = 0. What is j?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 45 + 2*i**2 - 20 as n*i**2 + q*i + v and give v.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -8739*a**2 - 101*a + 3. Let l(w) = -2*w**2. What is r(l(u))?\nAnswer: -34956*u**4 + 202*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1008480.7.\nAnswer: 4033922.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11644684655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21168 - 16296. Calculate the smallest common multiple of n and 36.\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**5\/10 + 55*t**4\/24 - 3*t**3\/2 + 2*t**2 + 35. Let m be h(9). Solve m = 2*q - 4*d - 15 + 5, -2*q + 2*d + 2 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534383?\nAnswer: 29, 18427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f = 12 + 51. Factor 143*k**2 - 27*k**2 + 8*k**3 + 299*k + 4*k**f - 39*k - 100.\nAnswer: 4*(k + 5)**2*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -10. Is 634 + 0 - (-27)\/v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -25, 2 in decreasing order.\nAnswer: 36, 2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 22. Suppose -5*p + 3*k + 19 = f, -p + 3*k = -7 - 4. Factor 5*s**2 - 2 - 6*s**2 + p*s + 2.\nAnswer: -s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61011, -61027, -61043, -61059, -61075?\nAnswer: -61091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 + 12 + 16 + 16848 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 7*z**2 + 7*z - 1. Let m be o(-7). What are the prime factors of 24\/15*m\/(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -11*k + 55. Let r = -94 - -105. What is the greatest common divisor of r and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 11*k)*(1 - 5 + 0)*(-2*k + 5*k - 5*k).\nAnswer: 88*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1522179914818 + 0.0071.\nAnswer: 1522179914818.0071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -611292, -611290, -611288, -611286, -611284, -611282?\n\"Answer: 2*u - 611294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*t + 4, 4*z = 3*t + 848. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6275\/69 + 91. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15949250 a multiple of 1144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c + 25. Determine a(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/3783624 and 61\/143352.\nAnswer: 124859592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-50))\/(12\/10))\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752718 is divided by 1144.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1 - -1) + 1 - (-1960 - -45) and 16.\nAnswer: 7664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25552 and 1216?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18098189, -18098172, -18098143, -18098102, -18098049?\nAnswer: -18097984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-39)\/6 - (-9)\/6. Suppose 2*n + 0*o = -4*o + 8, -10 = -3*n - 4*o. What is the smallest value in -3, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -281, 3, 17079 in ascending order.\nAnswer: -281, 3, 17079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 543 - 628.3. Let l = u - 25.7. Let m = 111.042 + l. What is m rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 569 + -163. Let r be j\/8 + (-3)\/(-12). Let u be 4\/(-14) - r\/(-7). What is the highest common factor of u and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1140 - -2754?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**3 + 2*w**2 - 2. Let r be o(1). Factor r*t**3 + t + 12 + 1 + 10*t**2 - 6*t - 23.\nAnswer: 5*(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**5\/24 - q**4\/3 + 4*q**3\/3 - 6. Let w(l) be the third derivative of h(l). Let i(o) = 4*o - 7. What is 6*i(g) - 5*w(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2597776, -5195539, -7793314, -10391107, -12988924, -15586771?\n\"Answer: -c**3 - 2597756*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r - 38 = 3*p, 4*r - 178 = -p. Suppose -3*u + 135 = 6*u. Calculate the remainder when r is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 4*g**3 - g - 18*g.\nAnswer: 2*g**3 - 19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y + 22*y - 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 7 + 3)*(-5*a + 4*a - a)*(-4*a + a + 0*a).\nAnswer: 66*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f**2 + 2*f + 1. Let t be b(-1). Let a(k) be the third derivative of -k**5\/60 + 7*k**4\/24 + 4*k**3\/3 - 12*k**2 - 2. Calculate a(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + i. Let p(x) = -3*x**3 - 6*x**2 + 6*x. Suppose 0 = 2*y - 26*y + 408. Suppose k - 2*k = 3*q - 3, -3*k - q = -y. What is k*z(d) - p(d)?\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6578*z + 54831 = -2754*z + 142403 + 117732 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 10*j**2. Let p(h) be the third derivative of 8*h**2 + 3\/20*h**5 + 0*h**3 + 0 + 0*h + 0*h**4. Calculate s(p(x)).\nAnswer: 810*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*d + 3*d + 43, -2*d + 180 = 5*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 6*h**2 + 5*h - 11. Let q be b(-7). Solve -q*o - z = -18, o + 4*o - z - 22 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 5*d**2 - 3*d + 1. Let y(o) = -o + 1. What is x(j) - 3*y(j)?\nAnswer: -j**3 - 5*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 6)*(7 - 6 + 8) - 3 + 1 + 3 - 1 + 13 - 5)*(8*a**5 + 13*a**5 + 23*a**5).\nAnswer: -440*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (7 - (-6 + 800013)). Round f to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -5. Let r = 6 + -8. Let a = r - l. Solve -a*z - 5*x - 5 = 6, 3*x = -2*z - 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -82. Let q be 22\/4 - 5\/20*y. Is ((-234)\/(-4))\/(3\/q) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1348, 2760, 6586, 14032, 26304, 44608, 70150?\nAnswer: 104136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptt when three letters picked without replacement from {p: 6, t: 2, u: 2, w: 1, f: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 + (-1236)\/126)\/((-20)\/(-14)). Which is smaller: -5\/11 or a?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) 0.7 (b) 0.3 (c) 0.5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -72*q + 10728. Let p be k(149). Put -1, 2, -196, 1, p in decreasing order.\nAnswer: 2, 1, p, -1, -196","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10*(-28)\/490)\/4*-21\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16640 and 1560.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 8*s**2 + 0*s**2)*(6*s**3 - 3*s**3 - 10*s + 13*s).\nAnswer: 21*s**5 + 21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - 224\/(-392)*56\/(-10). Which is the nearest to 4? (a) u (b) -46 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3000.16984 to the nearest 10.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 64\/5 of a micrometer?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-874)\/6624*-24*-6?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b = -3*u + 58, 0 = -5*u + 4*b + 35. Let j(x) = 12*x**2 + 3*x. What is the remainder when j(-2) is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -98 + 30. Suppose -3*o + n = 4. Suppose -2*w = -4 + 2. Solve -3*q + o - w = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 392 and 1064?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320433 = -47*x - 7*x + 3*x. Is 27 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*v + 4 + 4*v + 6*v + (1 + 2*v - 1)*(-4 + 3 + 3).\nAnswer: 7*v + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/540170 and -1\/3800.\nAnswer: 10803400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 141 - 116. Suppose -o*p - 9*p = -2550. Solve -11*c - 4*c - p = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3\/4 - 181*x**2\/2 - 2661*x\/4 + 432.\nAnswer: -(x + 9)*(x + 64)*(5*x - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/4*(-61 + 1). Calculate the highest common divisor of q and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 585, 2246, 4989, 8814, 13721, 19710, 26781?\nAnswer: 34934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34864 or -34904?\nAnswer: -34904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (7 - (-1820)\/(-612)). Is 0 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*o + 5*o + 19 = 0, 0 = -2*n - 4*o - 8. Let b(d) = d**3 - 8*d**2 - 13*d + 33. Let z be b(9). What is the second biggest value in n, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -2\/13, 0, 0.08, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + f + f)*(-3*f + 3*f + 5*f**2) + 21*f**3 + 5*f**3 + 43*f**3.\nAnswer: 64*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2060 - 433. Suppose 9*j - t = 974. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-2) - -3*(-136)\/(-24) - (-218)\/(-22)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -1607*h + 3379. What is the thousands digit of f(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1900) + (-1 + sqrt(1900) + -5)**2 + sqrt(1900)).\nAnswer: -600*sqrt(19) + 11616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w + 3*w**2)*((1 + 2 - 1)*(-2 + 1 + 0) - 3 + 4 - 4).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -199*a + 57. What is the tens digit of q(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 - 9*m + 5 + 3*m + 0*m**2 + m. Let x be v(2). Suppose -x*b + 3 = 0, 0 = -j - 4*b + 16 + 10. Calculate the remainder when 65 is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 571 = -4*p, 3*a + 710 = 5*p + a. Suppose 3*g + 120 = -p. Let x = g - -160. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 20 = 4*s + s, 0 = 2*s + 3*z - 15. Suppose -2*g + 18 = -5*y, 5*y - 2 = -3*g - 0*y. Solve 16 = -g*n + 2*b, -9 = 5*n - s*n + 3*b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 5*u**2 - 3*u + 4. Let g be i(3). Suppose 0 = 2*p - g - 1. Let m = -19 + 82. What is the greatest common factor of m and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -7, 0.1, 1823?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = -20*t - 21*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -52, -51, -50, -49, -48?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 + y**2 + y + 1. Let o be k(2). Let x = o + -13. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 + 0*n**2 + 2*n**2 + (3*n + 3*n - 4*n)*(1 + 1 - 1)*(0*n + 0*n + n)*(0 + 0 + 3).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 + -356\/5. Let k(h) = -h + 1. Let p be k(-5). Suppose -p*x + 0*x = -30. Which is the second biggest value? (a) u (b) x (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8162 and 581728?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103401 rounded to the nearest 100?\nAnswer: 103400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 1. Let a = -7 + f. Let o = 750\/7 + -107. Sort a, o, 4 in descending order.\nAnswer: 4, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-14)*152)\/((-308)\/(-539)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167665591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -579 + 579.657. Let s = -0.057 + u. Which is the nearest to -2\/5? (a) s (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 45 - 36 = 0, 6 = 3*c - 4*x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)\/(m\/((m*m**(-6)*m)\/m*m*m)))**(-4\/9)\/((m**(-1\/5))**(-48))**25 assuming m is positive.\nAnswer: m**(-2116\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2741 = -231*j + 5806 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(34)\/(3*sqrt(2)).\nAnswer: sqrt(17)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f**3 + 10. Let u(r) = 9*r**3 + 7*r**2 - 7*r - 2. Let k(d) = -5*d**3 - 4*d**2 + 4*d + 1. Let x(h) = -7*k(h) - 4*u(h). Calculate -v(i) + 5*x(i).\nAnswer: i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 3:00 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -11\/5, -10, -1, 3, 210, 4, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 7*m**2 - 6*m + 2. What is the remainder when 124 is divided by t(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/10)\/(-6*((-39)\/(-26))\/(-3))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37.70429ng?\nAnswer: 0.00000000003770429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 437*x + 1305. Give a(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -16. Let z = 1.8 + x. Let b = -229\/5 + 46. Put b, 1\/7, z in descending order.\nAnswer: b, 1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -5, -19, -35, -53?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 11:08 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 64*k + 56*k - 10 = 104, -54 = -2*x + 4*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-6)\/(-12) - (-1 + 1)). Differentiate 5*z**4 + 4*z**a + 2*z**4 - 14 with respect to z.\nAnswer: 44*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c + 7. Let s(m) = -3*m + 3. Suppose 5*q + 18 = 43. Suppose -l + 2*l + q = 0. Give l*s(j) + 2*b(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**2 + 73368*r - 12648880 = 0?\nAnswer: -73540, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - 190\/30 - (-1)\/3. Sort 1, -73, 5, s in decreasing order.\nAnswer: 5, 1, s, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*x - 12 - 5, 5*x = -y + 52. Suppose y*u = 25*u + 16. What is the greatest common divisor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w + 3. Let u be (1*(-2 + 3))\/(-1). Let z be k(u). Let f be ((-3)\/27 - z)*(-9)\/12. Is -1 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 134884 and 22?\nAnswer: 1483724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -291, 0, 36 in descending order.\nAnswer: 36, 23, 0, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (87 - 25*n - 87)*(21*n - 73 + 73)*(-1 - 3 + 3) in the form h*n + y + q*n**2 and give q.\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*p = 148, -3*z + p = -107 - 4. What is the remainder when 1364 is divided by z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minus -1002944?\nAnswer: 1002964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 3*o = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448290\/(-48195) + (-56)\/(-6).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/5)\/a)**22)**16\/((a**3*a*a**(-5\/6))\/(a**1*(a*a*a\/a**0)\/a)) assuming a is positive.\nAnswer: a**(4219\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 16*q. Let w(i) = -3*i + 5. Let y be (-2 + 1 - -3)*35\/7. Let k(f) = f - 2. Let a(l) = y*k(l) + 4*w(l). Give a(t(c)).\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.3458 to one dp.\nAnswer: 14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 794, 793, 792, 791, 790?\nAnswer: 789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 48*y - 210. Let z(l) = -55*l - 32. Let p be z(4). Let n(a) = a - 5. Let f(d) = p*n(d) + 6*k(d). Let u(h) = 7*h. Calculate u(f(c)).\nAnswer: 252*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*-2*4\/(-4). Is (20\/h)\/((-16)\/(-696)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 412 - t - 1231 + 400 + 401. Calculate o(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 527.5435653?\nAnswer: 530.5435653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-200 + 71 + 95)*(-x - 2*x + 8*x) to s*x + a and give s.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2954590537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -1466, -2\/15?\nAnswer: -1466","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 232290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 13*d + 22. Let x be w(11). Let p be 28\/12 + 1\/(-3). Let k = 0.6 - 0.9. Which is the nearest to x? (a) 2\/9 (b) k (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a**3 - 7*a**2 + 4*a - 1. Let t(w) = 15*w**3 + 14*w**2 - 9*w + 1. Let g = -5 - -18. Let k(b) = g*o(b) + 6*t(b). List the prime factors of k(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 383 (base 11) to base 3\nAnswer: 121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -169847.9261 rounded to the nearest 100?\nAnswer: -169800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4\/3 - 4*t**3\/9 + 55*t**2\/9 - 16*t\/3 = 0 for t.\nAnswer: -16\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/7 + 140925*w\/7 + 563652\/7.\nAnswer: 3*(w + 4)*(w + 46971)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 19639089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.96 - 0.368?\nAnswer: -3.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*v + 326*v = 653*v + 4*f - 32, 3*v + 0*f - 130 = -5*f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 3427?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 38*r. Let o(c) be the first derivative of c**3\/3 + 36. Calculate o(n(b)).\nAnswer: 1444*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1555.572 to the nearest integer.\nAnswer: -1556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 326 = -5*q, 0 = 3*j + 5*q + 10 - 237. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 k when four letters picked without replacement from keyyekyyybvykyyekkk?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -108, -252, -474, -762, -1104, -1488, -1902?\n\"Answer: 2*c**3 - 51*c**2 - 5*c - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/1*(-39 - -39). Suppose u*y + 163 = 5*y + 4*x, 4*x = 8. Calculate the remainder when 650 is divided by y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, -1077, 39 in decreasing order.\nAnswer: 39, 5, -7, -1077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -1c44eb2?\nAnswer: 1c44eb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4449.14ns to milliseconds.\nAnswer: 0.00444914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 30, 2, -121881, -3, 3 in increasing order.\nAnswer: -121881, -3, 1, 2, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 771 and 0.04?\nAnswer: 30.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25625521412 - -5?\nAnswer: -25625521404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let k(x) = x**3 + 6*x**2 + 3*x - 7. Let w be k(-5). Suppose -i + 7 = w. Let l(r) = i*r - 3*r + 2*r. Calculate a(l(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 = -2, 4*a + 44 = 4*k. Solve k = -5*n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158 or -4921\/31?\nAnswer: -4921\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45510 is divided by 185?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*c + 23*c - 52*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/834 and -40\/533.\nAnswer: 444522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5655)\/30240 - ((-3)\/(-54))\/((-1)\/2). Is h at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 228030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 6*q + 15. Suppose -z + 3*i - q = 0, -13 = -3*z - 2*i + 5. Suppose v - 9 = -2*v. Put v, z, 0 in increasing order.\nAnswer: 0, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1792 and 79\/3808.\nAnswer: 30464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3717847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -29*v - 2. Let n(t) = 1003399*t**2. What is u(n(a))?\nAnswer: -29098571*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-26)\/4)\/((-3)\/6). Let m = p + -10. Suppose -x = -m*x + 1662. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2556, 2582, 2632, 2712, 2828, 2986?\n\"Answer: i**3 + 6*i**2 + i + 2548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Let l = u + 1. Let z = -13699 + 13699.1. Which is the nearest to l? (a) 0 (b) z (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) -2 (b) 2 (c) 37\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19.1 - 18. Let q = o - 1.08. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = -29 - 13. Let l be (0 - c) + 2 + (1 - -61). Round l to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2873 - -18106. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 38199919, 76399836, 114599749, 152799658?\n\"Answer: -2*v**2 + 38199923*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4, 5*b + 4*j - 5*j = 34. Suppose 4*a + 40 = b*a. Let q be ((-12)\/10)\/(9\/(-30)). What is the greatest common divisor of q and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 5*h - 17, -5 = -5*z + h - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**2 - 3*d - 3. Let x be b(-2). Let o = -10 - x. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98*10\/(-140) + 5411 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 416\/117 - 16\/(-36). Which is the smallest value? (a) -2 (b) d (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 9) + 10 + -5 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:03 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.3 = 10\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 7*x + 1. Let r be ((-6711)\/(-15) - 0) + (-6)\/15. Let w = -442 + r. Determine k(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*(-28)\/(-2016)*6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**2 + j**2 + 14*j**2 - 6*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -1\/48*g**4 + 0*g + 1\/6*g**3 + 0 + 6*g**2 - 1\/120*g**5. Find v, given that a(v) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335132 divided by -4?\nAnswer: -83783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v*v**7\/v*v*v))\/v))\/v)\/v*v**1*v*v**(3\/5)\/(v*v\/v**(1\/4)) assuming v is positive.\nAnswer: v**(177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -757*c**2 - 26960*c - 156715845 wrt c.\nAnswer: -1514*c - 26960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0111101 to 4 decimal places.\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 3*p + 2*p + 6*n, 85*p - 88*p = -2*n + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -10*a - 57. Let y be n(-6). Let h(k) be the first derivative of -k + y + 5\/2*k**2. What is h(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 0*f**2 - 9*f**2 + 10*f - 4*f. Let b = -5 - -9. Let r(w) = -5*w + b*w**2 + 2*w**2 + 2*w**2. Determine -6*d(p) - 7*r(p).\nAnswer: -2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10550 is divided by 3500.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 84108.82 millilitres?\nAnswer: 84.10882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26342209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00204069006 rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - o - 21, 2*x - 7 = -5*o - 34. Let c = x + 91. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4191, 2, 37, 0 in descending order.\nAnswer: 37, 2, 0, -4191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*n = -42, 44 = -3*q + n - 0. Calculate the remainder when ((-34)\/3)\/(5\/q) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/7)\/(v**(-2\/13)*v*v))**(-1\/8) assuming v is positive.\nAnswer: v**(207\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 9 = -7*h, -5*h = 4*j - 15941. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -58. Let v = -17 - s. Suppose 3*r - 4 = -v. Let g(k) = -k - 1. Let y(c) = -3*c - 2. Calculate r*g(b) + y(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 171*i**2 - 1761*i - 23. Give u(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -67, -2, 3\/11 in ascending order.\nAnswer: -67, -2, 3\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seven halves of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-15 - (0 - 8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -664?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/96774 and -155\/1932?\nAnswer: 31161228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 3*g + j + 7, -2*g = 4*j - 26. Let s be (1\/g)\/(2\/6) + 17. Calculate the greatest common divisor of 18 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 3*f + 6, -203 + 211 = 5*y + 4*f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15080\/(-160)*(-224)\/(-364)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87256519249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u - 4*u**2 - 30 + 37 + 5*u**2. List the prime factors of z(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlzyltmyg. What is prob of sequence lm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.194 times 3129811?\nAnswer: 607183.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 42*w**2 + 3*w - 126. What is the tens digit of n(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 8*p + 18. Let o be (29\/6 + 2\/4)*p. Calculate the greatest common divisor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144575537 rounded to the nearest ten thousand?\nAnswer: 144580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 496.0689 milligrams?\nAnswer: 496068900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -569856, -569812, -569768?\n\"Answer: 44*h - 569900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**4 + 10936456*m**3 - 123047823*m**2?\nAnswer: -48*m + 65618736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9241?\nAnswer: 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -33*y + 136. Let i be n(4). Which is the third biggest value? (a) -0.9 (b) 1 (c) i (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 30 - (-39)\/(3159\/2214)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 888 and 1221.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10306963.\nAnswer: 53, 194471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 8*k**2 + 9*k - 4. Let t be g(7). Suppose -x - 3*x - 28 = 0. Let z = t + x. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -953 or -955?\nAnswer: -953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12119, 48829, 110129, 196019, 306499?\nAnswer: 441569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**6\/360 - 14*h**3\/3 + 3. Let s(c) be the third derivative of a(c). Let l(o) = 1 + 4*o**2 - 1. Determine s(l(k)).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 4)*(-6 - 9 - 1) + 1 - 3 + 3)*(3*b**2 - 2*b**2 - 3*b**2).\nAnswer: -34*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64085134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(12\/13))\/((625\/(-25))\/(-100)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/19227*-52)\/(14\/(-21)*1)?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vabqbbbqyybq. Give prob of picking 1 v and 1 q.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5700*1\/(-6)*-100. Round g to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 1)*(0 - 1). Let j(m) = 3*m**2 + m - 2. Let c(f) = -f**2 - f. Suppose 0 = 3*y + y + 4. What is y*j(t) + z*c(t)?\nAnswer: -t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/89100*33*(-2)\/3.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - x. Let w(p) = 6*p**2 + 5*p - 2. Let l(u) = -3*k(u) - w(u). Let m(h) = -4*h**2 - 3*h + 3. What is -3*l(v) + 2*m(v)?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6056 (base 8) to base 6.\nAnswer: 22234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(5\/(30\/(-58)) + 1). Let u be -3 - 0 - (-8)\/(-1)*-2. What is the highest common factor of g and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49759 = -479*s + 536 for s.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 13) to base 16\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 502584*d*s**2 - 2*d + 524*s + 1 wrt s.\nAnswer: 1005168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = 11*r + 10. Is 4*(-1137)\/(-24)*r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2 = 5*t, -7 = 5*t + 3. Suppose -q = 2*n + 7. Sort n, -2, -8, 2.\nAnswer: -8, n, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + (-2)\/(-1))*-5. Suppose p*y - 5 = 65. Suppose 5*f = 5*c - 35, 4*f + 12 = 27*c - 25*c. Calculate the remainder when y is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - b + 1652*b**2 - 819*b**2 - 3 - 3*b**3 - 824*b**2 as a*b + i*b**3 + v*b**2 + k and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*t + 32*t - 53*t)*(-16 + 16 + 2*t) + 3*t**2 + 2*t**2 + 2*t**2 - t**2 - 3*t + 3*t + (-2 - t + 2)*(-1 + 1 - 2*t).\nAnswer: -126*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 5, -3, 3, 19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - v - 10 = 0, -7*n + 3*v = -3*n + 30. Let j be n\/(-21) - 6\/21. Which is the closest to 2? (a) 3\/5 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmxu when four letters picked without replacement from rrrxgugumbxuuumuurb?\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 54\/(-1431) - 16705\/(-265).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(70)*5 - sqrt(70))*-4)\/(sqrt(250)*-4*-2).\nAnswer: 21*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 10:41 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, o: 1}. What is prob of sequence ozz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 527 - 234. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -1 (c) -2\/13 (d) 44 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/21 and -121\/1524?\nAnswer: 10668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (16 - 13)) + 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, 4, 10, 30, 70, 136?\n\"Answer: s**3 - 2*s**2 - 3*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 20*l**2 - 3*l + 30. Determine s(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + (sqrt(54)\/(sqrt(50) - sqrt(2)))\/(sqrt(81) + -1*sqrt(81) - sqrt(81)) + -5)*4.\nAnswer: -32 - sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -392 + 384. Let x be 8 + a + -1 + 13. Let j = 9 + -9. Solve -2*l - l + x = j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5061810 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-26))\/(((y\/(y*y**(-1\/3)))\/y)\/y) assuming y is positive.\nAnswer: y**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8462, 15996, 23530, 31064, 38598, 46132?\n\"Answer: 7534*a + 928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3968307 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*w - 301*w - 4620 = 0. What is the lowest common multiple of w and 126?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32010232200 (base 4) to base 13\nAnswer: -9c2382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/24 + 884\/8)*2?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a hour in seconds?\nAnswer: 34800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = 1. Let q(y) = 2 + 3*y - o*y - 3. Let h(t) = 6*t - 4. Let c(r) = h(r) - 4*q(r). Let z(x) = -3*x. Give z(c(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9343*0.13.\nAnswer: -1214.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*m = 1250, -5*b - m + 1894 - 664 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4451, 35320, 119131, 282362, 551491?\nAnswer: 952996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.564 - -0.654. Which is the closest to -39? (a) n (b) -2\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 2*x**2 + 4*x - 1. Suppose -2*l = -0*l, 3 = 3*m - 2*l. Let v be (4 - 0)*2 - 10. Let c be (v - -1) + m*-2. Determine a(c).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135 (base 8) to base 12.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 1194 + 123. Let r = -254 - q. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 7*b**4\/12 + 3*b**3\/2 + 6*b**2. Find the first derivative of o(y) wrt y.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4994552?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 21*k + 84. What is s(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 + (1 - 20 - (-4 + -10 + 10 - 3)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 - 33 = 18*t. Suppose 5*x + v = 19, -10*x + 2*v + t = -9*x. Solve 0 = i - x*i + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 + 241*f + 4620.\nAnswer: (f + 20)*(f + 462)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-3) + ((-32)\/(-4))\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -29 + 14 - 5 - 78*f. Is r(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.2 and 0.04769122.\nAnswer: 4.24769122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12853853 to four decimal places.\nAnswer: 0.1285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 0 - 163*u**2 + 1\/210*u**7 - 11\/24*u**6 + 1\/60*u**5 + 1\/3*u**4 + 0*u + 0*u**3. Find the third derivative of p(i) wrt i.\nAnswer: 24*i - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = -3*d. Let w = d + 3. Let y = 1.2 + -1. Which is the biggest value? (a) -2\/9 (b) y (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 0. Let x = -3\/1247 - 1238\/3741. Which is the closest to r? (a) x (b) 3\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 191 - -2a3?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m + 168 = 4*w, 4*m + 205 = -w. Let y = 153 + m. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, g: 2, x: 1, v: 1, s: 1}. Give prob of sequence xk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -11.\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, w: 5}. Give prob of sequence sws.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 816725935 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*c**3 - 164*c + 236*c**3 - c**3 + 164*c.\nAnswer: 195*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfm when three letters picked without replacement from fffmffmffmf.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -0*h + 3*h + 3*q, -2*h + 34 = -3*q. Let m(u) = 5*u**3 - 6*u**3 + 0 + 11*u - 10*u**2 + h. What is the tens digit of m(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1133*t**3 - t**2 - 7*t - 5. Let u be v(-1). What is the highest common divisor of 322 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 10) to base 3\nAnswer: -2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9543*n + 315*n + 17887*n.\nAnswer: 8659*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z. Let h(w) = 21*w**2 + 3. Let t(o) = -20*o**2 - 2. Let m(i) = -4*h(i) - 6*t(i). What is m(u(j))?\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 7:31 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6 + 21 = 0. Suppose -4*y - 9 = o - 6*o, 0 = -f*y - 4*o + 40. Suppose y*c + c = 335. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*a + 15. Let x be 4 + (-3)\/9*a. Suppose -2*i = 5*u - 51, 3*i - 2*i = x*u - 57. Solve -u = 2*q + 5*l + 8, 5*q = -3*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/17 + 5148*p\/17 + 355426\/17.\nAnswer: 2*(p + 71)*(p + 2503)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95*g**5 + 667*g + 56*g**5 + 104*g**5 wrt g?\nAnswer: 5100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1163 - 1165. Which is the closest to -1? (a) -1\/6 (b) -5 (c) l (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*z + 32*z - 31*z**2 - 15*z + (-z + z**2 + z)*(1 - 4 + 2).\nAnswer: -32*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 - 128*s**3 - 2074*s**2 + 2108*s + 92256.\nAnswer: -2*(s - 6)*(s + 8)*(s + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*u**6 - 15*u**5 + u**3 - 148650*u**2 - 1 wrt u.\nAnswer: -1560*u**3 - 900*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -12 = -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**5\/20 - 3*d**2. Let k(f) = -736 + 736 - 7*f. What is k(z(c))?\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1014 + -517. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2277 - -8467. What are the prime factors of g?\nAnswer: 2, 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.69427 to 2 decimal places.\nAnswer: -2.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*p**2 - 16*p**2 + 2*p**3 + 10*p**2 + (-3*p + 0 + 0)*(-p - 2 + 2)*(-5*p + 7*p + 7*p).\nAnswer: 29*p**3 + 56*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38801*v**5 + 54*v**2 + 5*v + 7.\nAnswer: 2328060*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 259159*l**2 - 251*l - 199 wrt l.\nAnswer: 518318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4467366 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 1652172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 18 = -9. Solve l = 2*v - 3*l - 6, 3*v + 27 = -x*l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9153906 divided by -3.\nAnswer: -3051302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p + 30 = -78 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 351, 555, 601, 483, 195?\n\"Answer: -s**3 - 73*s**2 + 430*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100444961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - -134 - (-2 - (4 - 6 - -11) - -20).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**4\/12 - 5*k**3\/6 - k**2\/2 - 2*k. Let a be s(-5). Is a - 9\/(-3) - -35 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, z: 8, m: 4}. Give prob of picking 4 s.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12 - (-217)\/(-28))*(-8)\/(-10). Which is smaller: 3 or b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 0*v**2 - 3*v**2 + 2*v**2 + 3*v**2. Let l(z) = -11 - 894*z**2 + 3 + 901*z**2. Determine l(b(w)).\nAnswer: 28*w**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 178977 - 178977. Suppose 4\/7*k - 1\/7*k**3 + x + 0*k**2 = 0. Calculate k.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129854352 divided by -8115897?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1828 + 916 + 912 - 221*h.\nAnswer: -221*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 116762059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -13*i**6\/3 + i**4 + 557*i**2\/2 - 1751. What is the second derivative of n(r) wrt r?\nAnswer: -520*r**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -192*d**3 - 16*d**2 - 13*d + 1. What is the least common multiple of 35 and t(-1)?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.91 - 23.49. Let v = f - -25. Let t = -3041\/17 + 179. Which is the third biggest value? (a) v (b) 1\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 78548*y - 21439040.\nAnswer: (y - 78820)*(y + 272)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(5\/2 - 2). Let t be ((-3)\/6 - 0)*p. Suppose -t*n = -5*q - 65, 5*q - 5 = -n + 26. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 23. Suppose 2*s = 2*o - 6*o - 4, x = -5*s + 3*o. Is s less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*y + l + 3*l, 2*y + 5*l = -25. Let z = -2825\/4 - -706. Which is the nearest to y? (a) z (b) -3 (c) 1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 456 - 474.9. Let v = c - -17.36. What is v rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-80)\/(-32) - 2\/4. Let n(z) = -205*z - 2. Let y be n(a). Let u = y - -2112. What is u rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 606*z - 34383. Determine i(61).\nAnswer: -1138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 250 + -246. Suppose 1849 = 3*j + o + 69, -3*o - 2395 = -b*j. Is j a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 270?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(-47))**(-4\/11)*o*o**(-1\/12)*o\/(o\/(o**(-1\/3)\/o))*o**(-1\/3)\/o**(-3) assuming o is positive.\nAnswer: o**(-653\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 5 - 3)*(-x + 3*x + 0*x)*(16 - 60*x - 16)*(-x**3 - 2*x**3 - 4*x**3).\nAnswer: 8400*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/8 - -2)*((-5244)\/1045)\/23. What is the third biggest value in r, 0.4, 22?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*a - 794, 587 = -3*x - a - 209. Let n be (340705\/16)\/((x\/120)\/(-7)). Let c = 67243 - n. What is the common denominator of 4 and c?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2\/11*o**2 + 2\/11*o**4 - 2\/11*o + 2\/11*o**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.022 + 13.422. Let l = a - 13.2. Put l, 0.3, -0.12 in descending order.\nAnswer: 0.3, l, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*h = -7, 0 = 43*z - 53*z + h + 152. What is the smallest common multiple of z and 213?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55486 and 10?\nAnswer: 277430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -259\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -13*h**2 + 13*h + 4. Suppose -7 = -2*l + l. Let f(u) = 19*u**2 + 12*u - 2. Let v be f(-1). Let n(k) = 9*k**2 - 9*k - 3. Calculate l*n(w) + v*q(w).\nAnswer: -2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/15 and -139\/56016.\nAnswer: 280080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:47 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**7\/35 - 7*r**3\/6 - 15*r**2\/2 - 5. Let c(y) be the second derivative of k(y). Find the first derivative of c(x) wrt x.\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*f - 3*f - 3*f**4)*(-8 + 0 + 2) + 0*f + 0*f - 2*f**3 - 6*f**4)*(-1 + 3 - 4).\nAnswer: -24*f**4 + 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 14*h**2 - 14*h - 13. Let j be b(15). Let r = 6 + 12. Suppose -r = -q - j. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 t when three letters picked without replacement from shddtthdhh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 51. Suppose 63 = 4*l + t. Suppose 3*k - 9 = 5*o, -k = 3*k + 2*o - l. Solve -25 = 5*b - 3*d - 2*d, d - k = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -90*s**2. Let l(p) = -2*p - 863. Determine l(f(d)).\nAnswer: 180*d**2 - 863","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*n - 143*n - 14 = -3*z + 15, 0 = 4*z - 4*n - 52 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 12 = -3*o - u, 0 = -2*u. Let b(g) = 18*g**2 + 7*g + 4. What are the prime factors of b(o)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 15) + -24 + 37.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*m + 22. Let n(j) = -13 + 9*j**2 + 15*j**3 - 4*j + 13*j**3 + 0*j - 15*j**3. Let a(h) = 3*h**3 + 2*h**2 - h - 3. Give m*a(f) - 2*n(f).\nAnswer: f**3 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2420*w = 2987*w - 2268 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i = 8 + 54. Find the second derivative of -33 + 30 - w - 26*w - 9*w**i - 6*w**4 wrt w.\nAnswer: -72*w**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*a**5\/5 - 84*a**4 - 648*a**3\/5 - 4*a**2\/5 + 216*a\/5 = 0. What is a?\nAnswer: -1, 0, 1\/2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 79916561 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2132 + 3?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, n: 1, i: 1, y: 1, t: 1, b: 2}. What is prob of picking 1 y, 1 t, 1 b, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 1962c?\nAnswer: -19629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a - 85 = 11. Let h(w) = w**2 + 5*w + 10. Calculate h(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87\/437 - -7\/23. What is b in 2\/19 + n*b**2 - 4\/19*b = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -2 - (-93 + 97).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 3*a - a)*(1 + 1 - 4) - 41*a + 17*a - 28*a.\nAnswer: -42*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3202 + 1?\nAnswer: 3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -56, 0.2, -11, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21913003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55474, -55922, -56370?\nAnswer: -56818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 472 + 139. Let d = -70 + u. What are the prime factors of d?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 2*q - 60. Suppose -q = -6*h + 3*h. Calculate the lowest common multiple of h and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 7, -2 in increasing order.\nAnswer: -2, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 16. Suppose 172 = 2*o + q*s - s, 0 = 2*s - 2. Let n = o - 14. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17201?\nAnswer: 103, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 15*v**2 - 26*v - 4. Suppose 65 = 5*t - 0*t. Determine m(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13, 45, 2, 4, 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.64 + -0.04. Sort 1, 3, k.\nAnswer: k, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Let s be 3\/b*(-4)\/(-3). What is the second derivative of 5*y - 4*y**3 - y + s*y**3 wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -6 + (-2 - (-5 + 7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**2 - 1529935*u - 1529930 = 0.\nAnswer: -305986, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51386 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2.6 times -13787.28\nAnswer: 35846.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 111100 (base 2) to base 8\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15681, -31334, -46987, -62640, -78293?\nAnswer: -93946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 - 37. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 15 - 25 = -14, -2*p + 30 + 10 = -6*p - 5*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 9 = 2*i, -5*i + 0 = -3*g - 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a minute in seconds?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 37, 85, 169, 301?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 - -103. Suppose -9 = -2*t - t. Suppose t*n - 18 = -0*n. What is the least common multiple of n and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*k**3\/5 + 12*k**2 + 27978*k\/5 - 28032\/5 = 0. What is k?\nAnswer: -64, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*h + 4*h**2 + h**3 - 9*h**2 + 6*h**2 in the form c*h**2 + g + d*h + y*h**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -10 - 2*t + 2*t + t. Let b(n) = 3*n - 20. Let h(w) = 2*b(w) - 5*k(w). Let g be h(-10). Solve 3*j = -g*j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9354.75 millilitres to litres.\nAnswer: 9.35475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31781*l + 3587*l + 12047*l - 47004*l.\nAnswer: -63151*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -1. Let d(f) = -f**2 + 2. Let t(g) = -d(g) - 4*x(g). What is t(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 - 21*d**2 + 33*d + 36. Let k be c(-12). Solve -5*q + 15 = -4*m, -75*q = -k*q + 2*m + 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211220000221 - 0?\nAnswer: 2211220000221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14675?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3 + 74247*c**2 - 222748*c + 148500 = 0. Calculate c.\nAnswer: -74250, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/19)*g)\/(g*g\/(g**(4\/9)\/g))*g**(1\/10)\/g*g**(-4\/9) assuming g is positive.\nAnswer: g**(-561\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -22. Let x be (-78)\/(-6) + (1 - -2 - 6). Suppose 6*j + 212 = x*j + p, j - 5*p - 32 = 0. Calculate the remainder when j is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*l = 39954 - 56607 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 3*s**5\/4 + s**4\/12 - s**3\/2 + s**2 + 2*s + 5. Let r(n) be the first derivative of a(n). What are the prime factors of r(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1532903.\nAnswer: 1532903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 17. What is the lowest common multiple of 4 and 44\/y - (-4)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27944, -111791, -251538, -447185, -698732, -1006179, -1369526?\nAnswer: -1788773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(108) + 1 + sqrt(108) + sqrt(108) + sqrt(108) - 2*(sqrt(3)*2 - sqrt(3)))*-4 + ((sqrt(75) - -3*-4*sqrt(75))*-2)**2).\nAnswer: -176*sqrt(3) + 72592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -m - 14, -3*u + 7*u = 3*m - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16 + -1)\/(-2 - 134\/(-64)). Suppose -l*b - 15 = -163*b. What is the remainder when 11 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1163?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, w: 3, t: 10, d: 5}. Give prob of picking 2 t and 1 w.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23745, 23741, 23737, 23733, 23729, 23725?\n\"Answer: -4*k + 23749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -15174d88?\nAnswer: -15174d89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/97301 or 2\/19?\nAnswer: -1\/97301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -825*u + 413*u - 16 + 411*u.\nAnswer: -u - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -140.2467926 rounded to 0 decimal places?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6.184 * -55\nAnswer: 340.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(144)*2)\/((2*sqrt(128) + sqrt(128) - sqrt(8))*1).\nAnswer: -6*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -1\/133 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22551*m + 1 - 1 + 37089*m.\nAnswer: 59640*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 37*t + 14. Let n(h) = -12*h - 5. What is -11*n(x) - 4*s(x)?\nAnswer: -16*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2798, 2810, 2822, 2834, 2846, 2858?\n\"Answer: 12*n + 2786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 14*v = -11*v + 30*v + 80, -4*v - 8 = 0 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - c24?\nAnswer: -c13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 376 + -352. Suppose 5*w - 14 = j, -5*w + 0*j - j + 16 = 0. Is w\/(-1)*2*(-5380)\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -18*b - 66. Let v(l) = 10*l + 36. Let a(j) = -6*r(j) - 11*v(j). Let y(t) = -4*t + 3*t - 2*t. Determine a(y(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 10*v**2 + 7*v**2 + 44 - 20.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137\/1463 - -9\/133. Let u = 148\/231 - x. Let m be -1 + 3 + (-32)\/14. Which is the closest to m? (a) u (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 132, -0.02, -0.032.\nAnswer: -0.032, -0.02, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 11906?\nAnswer: -1\/5953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2943332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2. Let m be 4*((-2)\/4)\/(-1). Let s(y) be the first derivative of 0*y**m - 5 + 0*y - 2\/3*y**3. Determine s(j(n)).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -832*t - 509*t + 259*t.\nAnswer: -1082*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3142*h**2. Let x(z) = -3*z. Calculate c(x(d)).\nAnswer: 28278*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 bigger than -480734?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 524, 0.2, 7, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*10\/6*20346\/30. Let t = x + 4934. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110111101001000001 (base 2) in base 8?\nAnswer: 675101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a - 2*a)*(-3*a + 6*a + 0*a)*(3 - 7 + 1)*(2 + 1 - 2).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 990 and 196515.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 159 - 97 + d**2 - 60 + 5*d. Let v(m) = -m**2 - 9*m - 4. Calculate 5*g(p) + 3*v(p).\nAnswer: 2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*h**3*p**3 - 2*h**3 - 3619085*h*p - 248793*p**3 wrt p.\nAnswer: 234*h**3*p - 1492758*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679861 is divided by 739?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.13685 nanometers in micrometers?\nAnswer: 0.05513685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/8*c**2 - 3\/4*c + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*d - 5. Let q(w) = -w + 2. Let n be q(d). Let y(h) = -h**3 - 17*h**2 - 17*h - 18. Let o be y(-16). Put o, -5, n in ascending order.\nAnswer: -5, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 11\/2, 2, -3\/7141, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8071981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.734116 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in 12\/17, 0.2, -6, 12, -2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, k: 1, r: 8}. What is prob of picking 1 x and 3 r?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 k when four letters picked without replacement from {t: 4, l: 3, k: 7}.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z + 1. Let r be p(-1). Let h be -2 - (-18 - (-15)\/((-10)\/2)). Solve -h = -3*w + 4*v, 0 = -2*v - r - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36300 divided by -3300?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -388 + 680. Let x = l + -292.4. Let d be (-2)\/(-9) - (-4)\/9. Which is the second smallest value? (a) d (b) x (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 4. Let d = -13 - -7. Let i be 8\/(-12) - d\/9. What is the nearest to -0.1 in i, m, -2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 282*o**3 - 123*o**3 + 2*o + 2*o**2 - 167*o**3 - 4. Let k(m) = -2*m + 4. Let w be k(3). What is the tens digit of s(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, g: 1, e: 2, d: 1, j: 1, w: 2}. Give prob of picking 1 g and 1 j.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, 682, 1084, 1556, 2122?\nAnswer: 2806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*v. Solve -f + v*f = -4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 42. What is the smallest value in 0.5, -1, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*x**2 - 7*x - 638*x**2 + 155*x**2 + 161*x**2 + 158*x**2 + 4*x.\nAnswer: 4*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4899 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.546009 millennia to centuries.\nAnswer: 45.46009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -107, -431, -867, -1415, -2075?\n\"Answer: -56*v**2 - 156*v + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283961811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k + 20. Let n be i(-12). Differentiate -29 + 11 + 10 + 16 + n*s with respect to s.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10198872 is divided by 159356?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 3204 = 3*d. Suppose -732 + 197 = -y - c, d = 2*y + 3*c. Suppose n = -2*t + 281, 4*t - 2*n = n + y. Is t a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b - 2*b)*(75*b**2 + 54*b - 95*b + 39*b).\nAnswer: -150*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*g - 65208, -4*a - 1 - 11 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -326 + 462. Calculate the greatest common factor of d and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828036 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.7 < 6.75402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 476643 + -23831361\/50. Let b = f - 342\/25. Calculate the common denominator of -75\/2 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 70\/(-50) + 1 - (-4)\/10. Solve h + 4*g + 21 = 0, k*h = 5*h + 4*g + 41 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1305 and 495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131716.\nAnswer: 2, 13, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 j when three letters picked without replacement from {t: 6, r: 4, f: 4, j: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 74*s**2 - 4*s - 6. Let u(m) = m**3 + 73*m**2 - 5*m - 5. What is 5*l(h) - 4*u(h)?\nAnswer: h**3 + 78*h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 + 58. What is the third derivative of 28*c**5 - 37*c**5 + 2*c**2 + 4*c**k + 0 - 4 - 9*c + 4 wrt c?\nAnswer: -540*c**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 21. Let p be w(-11). Put 3, p, -5, -10 in descending order.\nAnswer: 3, p, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -13*z**4\/24 + z**3\/2 + 62*z**2. Let a(p) = -11*p + 3. Let l(k) = 6*a(k) - 5*m(k). Determine l(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -5*x - 3*t, -494 = -57*x - 75*x + 94*x + 5*t for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006047 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 9:03 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 3*n + y - 2*y, -5*n = -12*n + 5*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vniovvonwiiiioiww. What is prob of sequence vwv?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -11*i + 14*i + 4*f, -5 = 2*i + f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10020 - -1?\nAnswer: 10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 309.0806 hours in nanoseconds?\nAnswer: 1112690160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, u: 2, q: 2, c: 2, d: 3, x: 1}. What is prob of picking 1 q and 1 c?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 + 85. Let a(v) be the first derivative of v**3 + 502. Calculate l(a(s)).\nAnswer: 18*s**4 + 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9006944*f**2 + 11340108 wrt f.\nAnswer: -18013888*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 4*a**2 - 4*a - 5. Let x be m(-4). What is the highest common divisor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and 99?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-34)*(3\/4)\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3393327929\/649155 + -1\/259662. Suppose -i - 3*i - 20936 = 0. Let x = w - i. Calculate the common denominator of x and -113\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1519 = d - 4*y + 9*y, 0 = -3*d + 4*y + 4557. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.4 + -13. What is the closest to 1 in -5, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1700921099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 3*z**2 + 396*z + 18. Is k(0) a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 9 = -3*v - 5*q, q + 17 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211.8885 rounded to zero decimal places?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 2*u**2 - 1. Let f be g(2). What is the tens digit of 78*(1 - 7)\/(f - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*2\/(-3) + 2. Suppose y*l = -w + 87, 7*w - 2*w - l = 351. Let q = w + -21. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6057.6 minutes in nanoseconds?\nAnswer: 363456000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 times 806\nAnswer: 2337.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*(h*h**(-1\/3))\/h))**22\/(h*h\/((h*h\/(h**(4\/5)*h))\/h)*h**(-2\/11)))**10 assuming h is positive.\nAnswer: h**(8816\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 837*b - 833*b = -12. Put -1, -2, b in decreasing order.\nAnswer: -1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 299691160 - 160438169. Let k = -66752991 + u. What is k rounded to the nearest 1000000?\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6255 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + w - 6 + 2, -4*m + 4 = w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 20252.1?\nAnswer: -20249.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 175827*t**3 + 5*t - 175697*t**3 + 5*t**2 - 4*t**2 + (0 + t + 0)*(3*t**2 - t**2 - 3*t**2) - 5*t**3 - 4*t**2 + 4*t**2.\nAnswer: 124*t**3 + t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-24)*((-192)\/44)\/(-2).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, g: 6, a: 4}. Give prob of sequence ggaa.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-11) + (-761208)\/44. What is d rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-42) - 7506\/(-7). Find the second derivative of 1103*r**4 + 0 + 0 - r**2 + 61*r - l*r**4 wrt r.\nAnswer: 372*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23465 times 0.2?\nAnswer: 4693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**3 - 3*s**2 + 6*s - 3. Let g be y(1). Let i = 3 + 1. Suppose k = -0*k + i. Solve -4*a = g*b + k, 5*b - 4*a = 4*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.055 + -88.055. Let k = s - -87.9999906. What is k rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60 + -52 - 20) + (2 - 3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + 4. Let u = h - 21.91. What is u rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102404354 (base 6) to base 9.\nAnswer: -3351037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161772.\nAnswer: 2, 3, 13, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 y when two letters picked without replacement from aoyaoaamoaahaaaoay?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 12:07 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1697.9207 days to weeks.\nAnswer: 242.5601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-4))\/((-12)\/96). Let d = g + -1. Suppose 5*q - 1 - 19 = -d*u, u = q - 14. What is the highest common factor of 99 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26789782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - h**2 - 8*h + 7. Let z be a(3). Put 0.1, 0, z, 4\/7 in descending order.\nAnswer: z, 4\/7, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039 minus -6.678?\nAnswer: 6.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/77324 and 151\/252?\nAnswer: 4871412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*x = -202, 4*f + x = 16 - 465. Let q(w) = w + 21. Let r be q(-9). Let y = f - r. Round y to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**4\/6 - 3*d + 261. Let j(c) = 16*c - 5. Let u(a) = 1 - 8*a + 0 + 1. Let x(k) = 2*j(k) + 5*u(k). What is x(r(b))?\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**3 - 1888*r**2 - 123481*r + 1108168 = 0.\nAnswer: -71, 8, 1951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -81990, -81984, -81966, -81930, -81870, -81780, -81654?\n\"Answer: w**3 - w - 81990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from fufguufhgffggf?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 0*k**4 - 1\/45*k**5 - 19\/90*k**6 + 0*k + 0*k**3 - k**2 + 17. Factor o(j).\nAnswer: -4*j**2*(19*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = 1. Let d(t) = n*t + 0 - t + 0. Let c(g) = 2*g. What is c(d(x))?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2 + 1116*w + 3330 = 0. What is w?\nAnswer: -555, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106 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: Which is bigger: -1356 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 30 in increasing order.\nAnswer: -2, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24326624 and 487?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*i - 8*i + 26*i + 4*q - q + 32, 2*q = 5*i - 53 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -10*m + 25. Let r be t(-8). Let w = -105 + r. Solve -c = -3*p - 0*c - 1, w = -5*p + 4*c + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 i when three letters picked without replacement from {j: 1, i: 3, w: 3, k: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -17 + 6 + 2 + 9. Solve 4*k + g*k = 4*t, 3*t - 16 = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - d = 10, 2*o = 5*o - 3*d + 6. Let x(y) = -y**3 + 3*y**2 + 2*y. Let b be x(o). Let c(u) = 10 - 2 + 0*u - 3*u + b*u. Give c(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 0. Suppose -3*v - 2*v = -k*a - 31, -3*a + 38 = 5*v. Let b = 15 + v. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (53 - (7 - -4))\/(2\/1283)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.45 - 0.15. Let l = -2.92 + y. What is l rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-12) + (-194)\/(-4). Suppose 3*g + 33 = 3*s, -2*s + g - k = -5*s. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3 + 3267789*w**2 - 143776908*w = 0. Calculate w.\nAnswer: 0, 44, 1089219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006008258618 to five decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiud when four letters picked without replacement from {e: 1, u: 4, i: 7, d: 1}?\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 50.\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -26673*s - 106823. Determine i(-4).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 32d?\nAnswer: -32c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -104 (b) -0.086 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*j - 8 = 0, 3*w = -0*j + 5*j - 10. Solve -5*q - 5*a = -5, 5*q - 3*a - 5 = -w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**4\/7 - 632*d**3\/7 + 20272*d**2 + 575072*d\/7 + 577536\/7 = 0.\nAnswer: -282, -2, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, z: 9}. What is prob of picking 2 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.594174us in hours?\nAnswer: 0.000000024331715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/4 + 911*d**3\/4 - 3003*d**2.\nAnswer: d**2*(d - 13)*(d + 924)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*d**(2\/3))*d)\/d)\/d)\/d*d**3*(d**(-4)*d)\/d*d**(-2\/5))\/(d**(-1)*d*d**(-4\/7))**(-46) assuming d is positive.\nAnswer: d**(-3187\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 236, 226, 240, 290, 388, 546?\n\"Answer: 2*j**3 - 24*j + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -21\/8 (b) 2\/1171 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y - 4*y + 4*y)*(3 + 1 - 2) + 26*y - 111*y - 61*y)*(0 + 4 - 2) + 0*y - y + 0*y + (4 + 2 - 4)*(-y - 3*y + 5*y).\nAnswer: -287*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 79802931 to the power of 1\/2, to the nearest integer?\nAnswer: 8933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 5:25 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21758020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 12:28 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 at most -514679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-352)\/(-1088)*(-4)\/11?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 115 + 150 - 33 - 39 + s. Does 21 divide m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -2, 4, -9 in ascending order.\nAnswer: -9, -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -12*h**2 - 73*h + 8. Determine p(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 5 + 0\/3. Let t(p) = p**2 + 0*p - 5*p + 3222872 - 10*p**3 - 3222877. Let h(w) = -w**3 - w - 1. What is g*h(d) - t(d)?\nAnswer: 5*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 85591564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 12:56 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3655*z - 81614 - 148651 = 0 for z.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**3 - 9*c**2 + 25*c + 141. Let u be r(-8). Let f = u - 896. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 2*x**2 - 16 - 14 - x to the form g*x + w*x**2 + a and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15, -9, -2, 6 in descending order.\nAnswer: 6, 3, -2, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90065*k + 2 + 3 - 90161*k - 5.\nAnswer: -96*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1849*o**2 + 7*o + 1861*o**2 - 7*o + 28 to the form d*o + z + p*o**2 and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-1 - 4) - 0. Let r(a) = -a - 4. Let z be r(h). List the prime factors of 2 + (4 - z\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*r + 8, -4*j + 9*j + 8 = -4*r. Let m = 3 - j. Suppose 0 = 4*h + 3*g - 4 + 1, -3*h + m*g = -18. Calculate the greatest common factor of h and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyyydiidddi. What is prob of picking 3 i?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 978 + -978. Solve -3*n + 5 = -9*u + 11*u, k = n + 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 5*r = 11*w - 127, 75 = -w - 155*r + 158*r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 951136 = 758864. What is b rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4942*c - 155221 = -23000*c + 990401 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9172 is divided by 978.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b6 + 643?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111010100000100 - 101?\nAnswer: 100111010011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 20 + -5 + -246 + 312.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.22 - 0.22. Sort -2\/15, 3, h.\nAnswer: -2\/15, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89558 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 70?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 453*v**3 + 15*v**2 + 4*v + 8. Let w(u) = 453*u**3 + 20*u**2 + 6*u + 8. Calculate -4*o(y) + 3*w(y).\nAnswer: -453*y**3 + 2*y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11481 and 163701.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p + 10. Let d be 0 + -2 + 1 + -6. Suppose 48 = -4*o - 4*t, o - 2*t - 31 = 4*o. Let w be (-3)\/2 + o\/14. Let v(m) = m - 3. Give d*v(c) + w*x(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-5))\/((-4)\/20). What is the common denominator of (-104)\/22*((-35)\/20 + 1) and (-2)\/(-4)*(-464)\/h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 788105 (base 9) to base 6.\nAnswer: 14040005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7604282 divided by -3.\nAnswer: -7604282\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107295, 429260, 965883, 1717158, 2683079?\nAnswer: 3863640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 3*h**3 + 138 - 3*h + 6*h + 117 - 4*h**3 - 254. Let w = -7 - -4. What is the remainder when 27 is divided by s(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/63 and 41\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.297 - -1.497. Is -760 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-17)*h**(4\/17) assuming h is positive.\nAnswer: h**(310\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001340139298 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or 6\/25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 42650*j - 42655*j = 3, 4*d - 6 = -2*j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -313 - -11323302233?\nAnswer: 11323301320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**4\/32 - q**3\/8 - q**2\/16 + 3*q\/8 + 5. Factor s(k).\nAnswer: (k - 3)*(k - 1)*(k + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m - 12. Let g be l(5). Let p = -58 + 407\/7. Put 1, -2, g, p in increasing order.\nAnswer: -2, p, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 868793324 to the power of 1\/3, to the nearest integer?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*g = -52*g + 5. Sort -4, g, -5, -2 in descending order.\nAnswer: g, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1139 divide 172682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46, -626, -2222, -5350, -10526, -18266, -29086?\n\"Answer: -86*j**3 + 8*j**2 - 2*j + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -252 + 253. Is 748 + (-6 - ((-6 - -5) + n)) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1637 + -979. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - 2*o - 4*o)*(-692*o**3 - 2*o**2 + 5*o + 709*o**3 - 7*o) to the form b*o**2 + y*o**3 + q*o**4 + w*o + u and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4054087 > -4054086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -98*l - 17*l - 115 + 109 in the form b*l + d and give b.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 5 - 6)*(217 + 137 - 255)*(-3 - 1 + 3)*(-4*k - k**3 + 4*k).\nAnswer: 495*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 792 and 880.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -21*m - 54. Determine f(-5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -47, -40, -33?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.6, 3\/2, -2, 0, 5, 1\/6 in descending order.\nAnswer: 5, 3\/2, 1\/6, 0, -2, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (53*d + 169*d - 332*d)*(0*d - 4*d + 8*d) in the form n*d + i + u*d**2 and give u.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*o - 64 = -0*k, 2*k + 22 = -4*o. Calculate the common denominator of (-63)\/(-2)*(-14)\/140 and (69\/4)\/(k\/2).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 11:35 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101265627*x**3 + 2*x**2 + 297818*x - 3.\nAnswer: 607593762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111 (base 2) in base 4?\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2832, 4821, 6808, 8793, 10776, 12757, 14736?\n\"Answer: -w**2 + 1992*w + 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -423b52 (base 12) in base 2?\nAnswer: -11111110110010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 + (-7)\/21. Let u = -156\/2159 - 110719\/1126998. Let w = -3\/58 + u. Are q and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 1349)\/((-18)\/108000). Round v to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (172*u + 466 - 466)*(3*u**3 + 2*u**3 - 4*u**3 + 6*u + 6*u**3 - 6*u - 2 + 2 - u**3 + (2*u**2 - 1 + 1)*(5*u - 3*u - 3*u)).\nAnswer: 688*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrmj when four letters picked without replacement from {v: 1, e: 1, r: 2, m: 1, l: 1, j: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (83447\/(-156))\/(-49) + -11\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 29938\/((3\/4)\/(3\/2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1747, -5, -66, -2, 3\/14?\nAnswer: -1747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 + 7*i - 1. Let j be h(9). Let b be j\/75*(0 - -39). Let a = -37 - b. Calculate the remainder when 88 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 161 = 49. Let i(j) = 5*j - 52. Let g be i(11). Suppose -o = -4*f - 3*b, 5*f + g*b + 27 = 100. Calculate the remainder when 118 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/5 + 3103*y\/5 + 3104\/5.\nAnswer: -(y - 3104)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -54349\/4 bigger than -13587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 2*r**2 + 3*r**2. Let u(g) be the first derivative of -g**4\/12 - 21*g**2\/2 - 3. Let l(k) be the second derivative of u(k). What is l(i(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101000001100101001 - 0?\nAnswer: 1101101000001100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14540 divided by -217.\nAnswer: 14540\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -53 + 6?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/9, 0.312, -2 in increasing order.\nAnswer: -2, -1, -1\/9, 0.312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45 and -0.8?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 76 + 79*m**3 + 72 - 230.\nAnswer: 79*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1228 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y - 60. Let m = y - -15. Suppose 76 = 3*f - 2*i, -8*i + m*i + 109 = 4*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119353986?\nAnswer: 2, 3, 53, 13901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - 0)*(-7)\/7. Let s(c) = j*c + 3 + c**2 - c - c - 2*c. Let d be s(6). What is the greatest common factor of 15 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 58337189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.34, 1\/4, 1\/5, -333, -3, 445?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-12)*(-9)\/(-2). Suppose 2 = m + 5*c - 4, 5*m = p*c + 2. What is the biggest value in m, -0.1, -2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4 + 2538*o**3 - 55373*o**2 + 52836*o = 0. What is o?\nAnswer: 0, 1, 21, 2516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*(h**3\/h*h*h)\/h*h))**(-41)\/(h**(1\/7))**50)**(-42) assuming h is positive.\nAnswer: h**(-4866)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - -6*(-3)\/(-6). Find the first derivative of -2*h - 8*h + 7 - 5 + j wrt h.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316402641497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 723\/4 in 1, 4, 0.1, -1, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -355 (base 15) in base 10?\nAnswer: -755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*s**2 - 104*s + 24.\nAnswer: -2*(s + 6)*(9*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 7*a\/2 + 3.\nAnswer: (a - 2)*(a - 1)*(a + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 51*c**2 - 17*c + 10. Let p(o) = 10*o**2 - 3*o + 2. Calculate 11*p(n) - 2*x(n).\nAnswer: -2*n**3 + 8*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) + (-186)\/(-14). What is the greatest common divisor of l and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 57 + 6 = 0. Let w = 56 - o. What is the nearest to w in -2\/7, -5\/4, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/27)*x)\/(x*x**13) assuming x is positive.\nAnswer: x**(-353\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 249*s - 250*s + 400, 1188 = 3*s + 2*f. Which is smaller: s or 386?\nAnswer: 386","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 0*g - g**3 - 2 - 1\/2*g**2. What is the second derivative of u(x) wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 17*v**2 - 4*v. Let z(q) = 17*q**2 - 5*q. Calculate -5*c(u) + 4*z(u).\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d. Let c(n) = 65 + 24*n - 127 + 62. Determine p(c(q)).\nAnswer: -96*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxxx when four letters picked without replacement from {l: 1, x: 2, g: 1, u: 1, n: 2, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 596 - 269. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -142\/95 - 1\/190. What is the third smallest value in 1, 4, -8, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 - 5*v - 3. Let o(q) = 1. Let s(z) = g(z) + 5*o(z). Is s(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 57*i**3\/4 + 4415*i**2 - 17831*i + 17888 = 0. What is i?\nAnswer: -17888\/57, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*a = -50*a - 6. Suppose -c + i + 0*i = -2, -a*i - 11 = -4*c. Solve -c*p + 13 = -4*r, -32 + 2 = -3*p - 5*r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q = 17*q. Suppose -5*k = -3*v - 2*v - 55, q = 4*k - 3*v - 45. Suppose k = 5*r - 13. Solve -4*o - 4 = 4*p, -5*o - 4*p - r = -0*p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 13. Let a(t) = 5*t - 27. Determine 2*a(r) - 5*v(r).\nAnswer: 5*r + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (94\/24*4)\/(2\/378). Is d + ((-12)\/16)\/((-6)\/16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 3*i**2 - 3*i - 3. Let n = 42 + -70. What is the remainder when k(2) is divided by n\/21*18\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 357780640 and 10640?\nAnswer: 357780640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 362457 + -26657. Round h to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, r: 2, i: 4}. What is prob of picking 3 d and 1 i?\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 416 - -5?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-17)*v\/(v*v**1))**29)**(-3\/31) assuming v is positive.\nAnswer: v**(1566\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*l + 1. Let w(z) = -z**2 - z + 114. Let c be w(13). Let b = -60 - c. Solve x + x + b = -h, -x - 13 = l*h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -426 - -9375\/22. Let i = 13 + -7. What is the common denominator of 9\/i*(-2)\/24 and m?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p**4\/19 - 42*p**3\/19 - 20*p**2\/19 = 0 for p.\nAnswer: -5\/13, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4582*x**3 - 12*x**2 - 15*x**2 + 40*x**2 - 13*x**2 - 2452*x**3.\nAnswer: -7034*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*v - 21938512 + 8197572. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 10848, -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from laaoloolaal. What is prob of picking 1 a and 2 o?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 39 - 39 + 0 + 0 + 2*m + (-4 - 1 + 4)*(m - 3*m + 5*m))*(-m**3 - 2*m**4 + m**3) - m**5 + 0*m**5 + 4*m**5.\nAnswer: -m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 86375297287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*u**4 + 19*u**4 + 29*u**4)*(2*u - 3*u + 0*u).\nAnswer: -86*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 66 - -453132?\nAnswer: 453198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/27 - -11*(-3)\/(-36).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-784)\/882)\/((-4)\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z + 219. Let d be p(31). What is the closest to 0 in -3, -62, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -3. Let f = l - 1.3. Let h = f + 0.82. What is h rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 + 6 + (-12 - -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83511175 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 17288 = x - 2855, 3*s = -9. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + -3 + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - ((-3 + sqrt(13))**2 + 3) - (sqrt(13) - 6*sqrt(1300)).\nAnswer: -25 + 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 + (48 - 150) + (-1 - 1 - -12).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*u = -85*u + 378. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -23, -34, -49, -68, -91, -118?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/54880 and -67\/307720?\nAnswer: 8616160","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42*22*(-48)\/672?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 797 + -797. Suppose -32*x + 19*x + 26 = t. Solve -x*y = 9 - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.922 - -0.122. Let s = c + 7.32. Round s to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 31232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 17 - 6)*((-8 - 23 + 13)*(2*d - 6*d + 3*d) + d - 5*d + d).\nAnswer: 210*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 - -73. Suppose -k - 4*t = 0, -2*k - 4*t + 8 = -12. Let m = k + 4. Which is bigger: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/19 less than or equal to 58\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 259657 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 16*h**2 - 2*h + 34. Let c = -538 - -554. Determine j(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2316669 - 2316669.5999935. Let t = m + 0.6. What is t rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 16*z - 13 + 17*z)*(-23*z**2 - 15*z**2 + 27*z**2) as f + r*z**3 + n*z + l*z**2 and give l.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/313047 and -1\/1878282.\nAnswer: 1878282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16463 - -16471. Calculate the lowest common multiple of 625 and g.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 10:01 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/11 - 92\/(-88)*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c + 1134 + 289 = -107. Solve 9*f - 5*l = 14*f, -4*l + c = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3658724 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -8, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 16, -7.\nAnswer: -7, -5, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*c = -9, 21 = 2*u - 3*c + 6. Solve u*d - 5 - 1 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1199 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -7*b**5\/20 - 7*b**2\/2 + 3*b. Differentiate r(n) wrt n.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13323 (base 5) in base 9?\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -4*l - 40. Suppose 5 = 4*s - 5*p, 0*s = 5*s - p + l. Let q(b) = -b**2 - b - 1. Let f(k) = 2*k**3 + 4*k**2 + 5*k + 5. Give s*q(d) - f(d).\nAnswer: -2*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4651345*v + 2935681 wrt v?\nAnswer: 4651345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2583)\/(-70) - ((-55)\/50 + 1). What is the greatest common divisor of 2775 and h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a, 5*a + 6 = 2*q - 4. Suppose -5*x - 2*k = 6, 2 = 4*x + k + q. Solve 2*m = -x*m - 2, -5*m = 3*h + 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 227195*t - 227195*t + 4508*t**3 - 2*t + t**3 + 2*t + (2 - 2 - 2*t**3)*(6 + 0 - 5).\nAnswer: 4507*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -339*-1*1*1. Suppose -2*s + 12 - 12 = 0. Suppose s = 4*q - 169 - b. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 82 + 22 = 0. Calculate the remainder when 72 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2811373 is divided by 13324.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1496896*d**3*j**2 - d**3*j - 22*d**3*v - 968*d**2*j*v**3 + d**2*j + 3*d*j**2*v**3 + 3*j*v wrt j.\nAnswer: -2993792*d**3 + 6*d*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 10\/9, -3, 3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 32*d**3 + 56*d**2 + 6. Let z(v) = -6 - 4 - 145*v**3 - 114*v**2 - 4 + 81*v**3. Let j(a) = 14*x(a) + 6*z(a). Find the third derivative of j(n) wrt n.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = z - 3, 4*s = 3*z + 8. Suppose s*y - 5*y - 33 = -2*u, u + y - 9 = 0. Suppose 5 = 2*w - 5. Calculate the remainder when u is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 1. Let m(f) = -2*f**3 + 7*f**2 + 4*f - 23. Let q be m(3). Let a(d) = -6*d - 3. Determine q*a(r) - 7*b(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-8) - 3)*-2. Suppose 1444 = c*n - b, 5*b = 3*n + n - 1929. What are the prime factors of 5\/((-40)\/1) - n\/(-8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 6\/(-2)) + -6. Let v be 2\/p*(1 + -13). What are the prime factors of v + (-2)\/(2 + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -372, -455, -536, -615, -692, -767?\n\"Answer: d**2 - 86*d - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -9*k + 5988. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17685, -35639, -53593?\nAnswer: -71547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76421100, 76421101, 76421102, 76421103?\nAnswer: 76421104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -59346*g + 118688. What is t(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14880?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7943930 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -912, -913, -914, -915, -916, -917?\nAnswer: -918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 928262 < 928294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - -4. What is the highest common divisor of 105 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from uttmtkmtz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1776030755?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(7) + 2 + sqrt(7))*5 + sqrt(63)\/(sqrt(9) - -1*sqrt(9))*-4)**2.\nAnswer: 240*sqrt(7) + 1108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 12:52 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3250 = 5*v, 0*m + 4*m = -2*v + 1288. Let p = v - 29. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -72, -426, -1372, -3204, -6216?\n\"Answer: -49*z**3 - 2*z**2 - 5*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/68096 and -55\/768.\nAnswer: 204288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 12*u - 62. Give i(10).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 - (65 - -11)) + -28.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -2361406?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 7. Let o be k(-3). Suppose -9*m + 19 + 26 = 0. Let q(y) = y**3 - 10*y**2 - 2*y + 15. Let i be q(10). Put i, m, o in ascending order.\nAnswer: o, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-2\/3)))**(-10\/7)\/((z*z**(-4\/5)*z)\/z*z**(-1\/3)))**(-2\/15) assuming z is positive.\nAnswer: z**(-76\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15903 - -16639. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.3 + -0.7. Let r = -78 - -78.1. Is r smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u + 4. Determine s(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 659917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6611\/5 + -1330. Find the common denominator of 14\/13 and a.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697235 divided by -4?\nAnswer: -697235\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -2\/19, -3, -63142?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -z + 20505, 5*z + 45*j = 42*j + 102483. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10150 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 4)\/(2\/2). Suppose 2*r + 2 = -2*f, -12 = 3*r - 5*f - 33. Let l be (-12)\/9 - r\/3. What is the second biggest value in 3, l, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6 = 3*b, -1 = b - 2*f + 3. Let z(k) = -k**3 - 6*k**2 - 6*k + 5. What is the smallest common multiple of b and z(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3399*o - 16965. Give t(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2457*m**2 + 54*m + 68?\nAnswer: -4914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.2, 637, -3, 412, 1, -2 in ascending order.\nAnswer: -3, -2, -0.4, 0.2, 1, 412, 637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 963*r**2 - r + 2. What are the prime factors of b(1)?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 568*f. Let g(l) = -l. Calculate m(g(q)).\nAnswer: -568*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 109684451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**4 - 10430*v**2 + 48533*v?\nAnswer: -12*v**2 - 20860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4))**32\/(x\/x**6*x*(x\/(x\/((x*((x\/(x\/(x\/(x**(-2)*x))))\/x)\/x*x)\/x*x)))\/x*x)*(x\/x**0)**(2\/7)*x\/x**(1\/5)*x\/(x**2*x*x) assuming x is positive.\nAnswer: x**(283\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 divided by -3559.\nAnswer: 119\/3559","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.19 (b) -18\/7 (c) 3\/2 (d) 70 (e) -4 (f) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 202.8 + -203. Which is the closest to 9? (a) 0 (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 3)\/((-2)\/(-10)). Solve 1 = i*a + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 3*o - 9. Let g(l) = -4*l**2 + 8*l - 28. Let u(w) = 2*g(w) - 7*q(w). Calculate u(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82038517 by 4.\nAnswer: 82038517\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93886)\/471 + 196 - (-524)\/159.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -1.416.\nAnswer: -6.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + 4*a + 2. Let h(r) = -4*r**2 - 3*r - 3. What is -2*h(g) - 3*q(g)?\nAnswer: -g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-4))\/(6615\/294).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**1)\/z*z*z**(-2\/3)*z*z)**(-3\/20)\/((z*((z**(-3\/11)*z)\/z)\/z)\/(z\/(z\/((z*z*z\/z**4*z*z)\/z)*z*z)))**47 assuming z is positive.\nAnswer: z**(-4476\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99 - 20*r - 21 - 18 - 49 - 240*r**5 wrt r.\nAnswer: -4800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -1. Suppose -3*o = 3*b + 8 - 5, 2*b - 2 = 0. Let c(q) = 4*q + 8. What is o*z(s) - c(s)?\nAnswer: -4*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -192.8 + 192.798501. What is k rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 373 - 373. Solve -q - 18 + 17 = l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18320009 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*b = -191*b + w - 10, 5*w + 15 = -3*b. Put 426, 4, 0, b, 3 in decreasing order.\nAnswer: 426, 4, 3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4\/2)\/(7 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 4*d**2 - 5*d. Suppose 21 = 5*h - 4. Let u be t(h). Which is the third smallest value? (a) 2 (b) -0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1090036 rounded to 3 dps?\nAnswer: 0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 g when four letters picked without replacement from ttjjttgg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3238*g + 4792. Is c(-13) a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 41*f**2 - 2*f. Let t(z) = 81*z**2. Calculate 2*t(a) - 5*x(a).\nAnswer: -43*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = 4*d + 5*h, d - 38 = 4*d - 5*h. Let i = d + 57. What is the highest common factor of i and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.037? (a) 0.1 (b) 4.23 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20563, -20669, -20775, -20881?\nAnswer: -20987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 325576889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 189379992 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -13*c**2 + 10*c**2 + c**2. Let o(g) = -11*g**2. Calculate w(o(f)).\nAnswer: -242*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a kilogram in grams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86890184, 86890185, 86890186?\nAnswer: 86890187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*g = 17, -4*y - g = -6 - 7. Factor 2\/3*v**y + 0 - 4\/9*v.\nAnswer: 2*v*(3*v - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 - -61. Let v(s) = -8*s**2 + 3. Suppose -3*f - 100 = -7*f. Let m(h) = -65*h**2 + 25. Determine f*v(x) + k*m(x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a - 34. Let z(p) = -5*p - 76. Give 9*k(u) - 5*z(u).\nAnswer: 7*u + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-2\/7))\/w)**(-6\/11))**(-19)\/((w**(2\/7))**(-4\/17))**(-4\/13) assuming w is positive.\nAnswer: w**(-50740\/17017)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4557 and 2793?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*v = 31, -6*o + o + 4*v - 185 = 0. Let m be (33\/(-2))\/(-7 + (-190)\/(-28)). Let f = o + m. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 30 + 34 + 650*b - 656*b - 98.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -61, -268, -1, 3\/2 in descending order.\nAnswer: 3\/2, -1, -3, -7, -61, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73217483*y**6 - 3*y**2 + 19804312 wrt y?\nAnswer: -8786097960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0, -0.01, -3, 1642, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v = 4*f + 226, 31*f - 18*f + 11 = v + 12*f for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430 + 1897 - 1467 + 109*l.\nAnswer: 109*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4125 divide 73569375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 6*q - 81. Let c be (q\/24)\/((-6)\/(-4)). Put c, -5, 0.05 in increasing order.\nAnswer: -5, c, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*o - 7*o - 496*o**3 - 495*o**3 + 1470*o**3 - 486*o**3 in the form m + d*o**2 + n*o + h*o**3 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.42 - 1.62. Let i = 18 + -14.5. Let n = 0.5 - i. Which is the nearest to f? (a) n (b) -3\/7 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3049 - -3046. Suppose 3*i = -y - 0*i + 8, 0 = -5*i + 15. Put 1, y, t in increasing order.\nAnswer: t, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 820\/(-34) + 778\/6613?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 4*w = 3*w - 8*w - 54, 2*q + 4*w = -144 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3053602359?\nAnswer: 3, 1879, 180569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 435629 and 21286?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2086 or 2096?\nAnswer: 2086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 3*k**3 + 5 - k + 0*k**3 in the form l*k + h*k**2 + t + u*k**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 78?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + g = 312, x + 4*g = 149 - 56. Suppose 2*f - x = -f. Let j = 855 + -846. Solve i + j + 19 = 5*l, -5*i - f = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*g - 196 = 113*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*g**3*m*s - 2*g**3*m + 7*g**3*s + 4*g**3 + 2*g**2*s wrt m.\nAnswer: 43*g**3*s - 2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:02 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1146180, 1146183, 1146186, 1146189, 1146192?\nAnswer: 1146195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125540388, -125540389, -125540390?\nAnswer: -125540391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8258*y**2 + 14*y - 4615. Let r(m) = -2753*m**2 + 5*m - 1538. Let g(s) = 3*j(s) - 8*r(s). What is the second derivative of g(i) wrt i?\nAnswer: -5500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000090663232 rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-122)\/18 - (130 + -137).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.111 - 0.289. Let u = 1 - 1. Put -0.3, u, f in decreasing order.\nAnswer: u, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 23. Calculate the lowest common multiple of 9 and a(-17).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(1*sqrt(5)*3 + sqrt(5)) + ((sqrt(95)*-1)\/sqrt(5) - (-2*sqrt(57))\/sqrt(3)).\nAnswer: 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = o - 30*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -217, -431, -655, -895, -1157?\n\"Answer: -q**3 + q**2 - 210*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 545\/346 + -13\/173. Which is the nearest to 3.2? (a) 2 (b) -4 (c) -7 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.31 + -0.325. Let v = -3.015 - w. What is the closest to -0.4 in 1, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 5*g = -16. Let n(o) = o**2 + 4*o - 3. Determine n(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c + 1c?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from {e: 1, j: 1, y: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -374.\nAnswer: -7\/374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -208, -97\/2, 0.3?\nAnswer: -208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -538.8502091817 - 0.1497878883. Let x = h + 539. Round x to seven decimal places.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(99) - (sqrt(99)*1 + sqrt(99) + sqrt(99)))*6 - (((sqrt(24) + sqrt(24)*-1)\/sqrt(8) + sqrt(144)\/sqrt(3))**2 + 1).\nAnswer: -49 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(125) + -2*sqrt(125) - sqrt(125) - sqrt(125))*-1*-6)**2.\nAnswer: 40498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -422.19208197 and 142.\nAnswer: -280.19208197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -3\/256450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.617 + 24.437. Let v = t + -23. Let l = v - -5.18. Which is the closest to -1? (a) 0.3 (b) l (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 18 - 10 = 0. Suppose -n*a - 671 = -2*k - k, a + 683 = 3*k. What is the remainder when k is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28350286 divided by 2.\nAnswer: 14175143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**2 + 1\/4*m**5 - 2\/3*m**4 + 0*m + 0*m**3 + 0. What is the second derivative of h(y) wrt y?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -3*s + 5*k - 18, s + 10 = -2*k. Let g be (-6)\/(-204)*s + (-98)\/34. Sort -4, 0.04, 4, g in increasing order.\nAnswer: -4, g, 0.04, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.121 (b) -4 (c) 7983 (d) -155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 54, -16, 2, -0.07, 1\/5 in descending order.\nAnswer: 54, 2, 2\/5, 1\/5, -0.07, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4752 = -10*q + 2*q. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8994497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2904 + 2907 - 8717 + 2907 - 2*z + 8*z. Let u(m) be the third derivative of 7*m**4\/24 + m**3\/6 + 2*m**2. Let i be (-12)\/8*8\/3. Give i*u(k) + 5*b(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -313, -1226, -2661, -4546, -6809?\n\"Answer: 12*s**3 - 333*s**2 + 2*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13803 divided by -3?\nAnswer: 4601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 394324*a*i**3 - 6*a*i - 81*a + 2*i**2 - 10*i - 2 wrt i?\nAnswer: 2365944*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 12:26 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1\/(-5)*10\/(-4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49.06 + 50.56. Let j = -4 + 4. Put j, a, -0.4 in increasing order.\nAnswer: -0.4, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 79, 4788 in ascending order.\nAnswer: 1, 79, 4788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**5 + 1866*d**4 + 238982*d**3 - 741306*d**2 - 978424*d = 0.\nAnswer: -779, -157, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 8:27 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -279.4 + 279. Which is the nearest to 2? (a) -1 (b) s (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -14*b**2 + 1 - 1. Let z(j) = -3 - 2 - 18 + 23 + 2*j. Determine i(z(k)).\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2021\/6 + -337. What is the second biggest value in 0.7, l, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8708616 + -0.146162.\nAnswer: 8708615.853838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o. Suppose -j + 2*v = -9, -3*j = -2*j - 3*v - 11. Solve o*n - j*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 95*h - 96*h - 2*l + 11, l = 28*h - 365 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 5*k + 5*k)*(-3*k + 3*k - k)*(-3*k**2 + 3*k**2 - k**3).\nAnswer: -k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*l - 50*l + 330 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3475758, 3475760, 3475772, 3475800, 3475850, 3475928?\n\"Answer: g**3 - g**2 - 2*g + 3475760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*u**2 - 14*u**3 - 22*u**2 + (4 - 4*u - 4)*(u**2 - 6*u**2 + 3*u**2))*(u - 2*u**2 - u).\nAnswer: 12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 628, 1259, 1874, 2473, 3056, 3623?\nAnswer: 4174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -50*j**2 + 951*j + 2126. What is l(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(1\/8)))\/(k*k*k\/(k**(-2\/5)*k)*k))\/(k**11\/k)**21 assuming k is positive.\nAnswer: k**(-8531\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-3 - (3 + -7 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-24) + (-85104 + -1)*2\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-15 + 7)*1 + -5)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28702*k*y**2 - 4*k - 3655*y**2 + 27425219 with respect to y.\nAnswer: 57404*k*y - 7310*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -212, -324, -456, -614?\nAnswer: -804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3174 (base 11) to base 6\nAnswer: -31231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 621 = 10*u. List the prime factors of u.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279282 + 246542 - 527622 = -22*y. List the prime factors of y.\nAnswer: 25471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 + 0*s - 1727 - 1725 + 16*s + 3448 in the form h*s + u + o*s**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n. Suppose -4*z + n*z = -5*i + 9, 2*z = -i + 13. Solve 0 = z*g - 2 + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 13*c - 29. Give w(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.12 - 0.12. Let v be (6\/(-15))\/((-27)\/(-30)). Let g(k) = 6*k**2 - 1. Let r be g(1). What is the closest to j in r, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 5*b**2 + 5*b. Let j be u(-4). Let m = 99380 - 99382. Sort 0.2, m, -1\/20, j in ascending order.\nAnswer: j, m, -1\/20, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19691404?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -794, 0 in ascending order.\nAnswer: -794, -15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5235.06 - 12.56. What is w rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {q: 1, f: 2, h: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411322002 (base 5) to base 7.\nAnswer: 20112300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**5 - 20*t**4 + 8*t**3 + 32*t**2 = 0.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 17 = -4*a, 6*a - 7*a - 2*n + 3 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**3 + 64*d**2 - 14*d - 7. What is k(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 624183 (base 9) in base 13?\nAnswer: cc831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -z + u, -26*z + 20*z + 5*u + 180 = 0. Let m = 3 + -3. Let g be 7\/(2\/4 + m). Solve -z = -g*v + 10*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*m = m - 38, -3*a + 3*m + 36 = 0. Let g(u) = -2*u + a*u**2 - 4*u**2 + 2*u. Let d(i) = 2*i**2. Calculate d(g(p)).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -23. Let k be (-45)\/(-10) - 2\/4. What is the first derivative of -4*y**k - 4 - q*y**4 - 1 wrt y?\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1925\/8 = -240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13752 and 32.\nAnswer: 55008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-5)*150\/(-12). Suppose -5*b + 4*p + 34 + j = 0, -2*p = 2. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 8*w**2 - 4*w - 2. What is the units digit of b(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4010 + (-1 + 4 - 4). Is i\/(-42)*(0 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 112*l - 1. Let j be t(2). Suppose 3*m = -5*s + j, 5*m + 190 - 29 = 3*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmmccmfqccfffmcmm. Give prob of sequence cqc.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -365d5 - 4?\nAnswer: -365d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**4\/6 - v**3 + v**2. Let t be i(4). Let y(x) = x**2 - 8*x - 11. Calculate the least common multiple of y(t) and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 1.966 (c) 0 (d) -41 (e) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 3. Let x = -3.1 - -3. Let u = 0.1 + x. Is l greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (5 + -10))\/((-1)\/(-2)). Let t = z - 3. Let w(x) = -3*x**3 - 4 + 4*x**3 - 2*x**3 + 4*x**2 - x. What is w(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67543590 is divided by 766?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, o: 2, n: 1, k: 1, s: 2, f: 1}. What is prob of sequence fsc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9720 - 9716. Sort -1, -5, i, -162 in decreasing order.\nAnswer: i, -1, -5, -162","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 less than -0.09115314?\nAnswer: 0.70884686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -23099 and -23099 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3924042.\nAnswer: 2, 3, 17, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -3*k - 2*o, 11*o + 300 = 4*k + 9*o. What is the least common multiple of k and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 491*l + 57030. Give a(-189).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(7\/4)*d**8 assuming d is positive.\nAnswer: d**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/31618?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-88)\/(-12)*((-9690)\/20)\/(-19). Calculate the highest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(2) + sqrt(8)) + sqrt(12)*1 - (-1*sqrt(48)*-2 + sqrt(96)\/(sqrt(8)\/sqrt(4)))**2.\nAnswer: -432 + 7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68870521?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n + 4*n**2 + 3*n**2 + n**3 + 3 + n**3 - 3*n**2. Let y be h(-3). Round y to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - i**3)*(266*i + 8708 - 8708).\nAnswer: -266*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53060 + 105?\nAnswer: 53165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -37 (c) 0.16 (d) 1\/3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -85. Let l = d - -2. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52040 and 400?\nAnswer: 520400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -41*t - 51. Give l(-4).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - a + 2*a + 2*a - a + a + 4*a - 2*a - a + 0 + 0 - 2*a + (-2 + 5 - 5)*(0*a - a + 3*a) - 2*a + 5*a - a - 3*a + 2*a + 0*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 9:42 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52705946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**3\/3 - 2*w**2 + 20*w. Let p(k) = 2*k - 4. Let i(q) = 6*b(q) - 4*p(q). List the prime factors of i(19).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 358*h - 2 - 115*h + 4 - 3 in the form v*h + r and give v.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*u**3 - 8945*u**2 - 1031800*u - 7018000.\nAnswer: -5*(u + 220)**2*(4*u + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 837 + -838. What is the biggest value in 3, w, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 266392 + -a08?\nAnswer: 265485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1001969?\nAnswer: -100196.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 18. What is the remainder when v is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.99599 + -0.01401. Let n = t - -0.01. Let o = 40.9963 + n. Round o to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542292913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -48*g - 142. Let j be v(-3). Solve -3*c = -j*q - 16, 0 = -4*q - q + 5*c - 30 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 104160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 k when three letters picked without replacement from {k: 3, b: 1, i: 2, z: 4, e: 2, n: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16596 - -0.17. What is m rounded to 4 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12496 and 4.\nAnswer: 12496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-210*b + 105*b - 283 + 101*b)*(-b + 2*b**2 + b).\nAnswer: -8*b**3 - 566*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 4) + (8 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4267235 is divided by 1199.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3287 + -1407. Suppose 171 = d - 5*x - 193, -5*x - j = -5*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/3 - 738611590*f\/3 + 136386770220582025\/3 = 0. What is f?\nAnswer: 369305795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 3*y**2 - 2*y**3)*(2 - 1 - 2)*((-12*y - 18 + 18)*(-2 - 3 + 0) - 15 + 15 + 2*y).\nAnswer: 124*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 319*f - 49. What is the hundreds digit of b(63)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5356625654?\nAnswer: 2, 19, 107, 1317419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0189 + 0.069. Round k to three decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -3\/7, -35, 0.3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, -4, 6 in descending order.\nAnswer: 10, 6, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 4*y - 2. Let u be k(6). Let c be ((-6)\/u)\/(6\/(-4)). What is the smallest value in 1, c, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39.3 + 9.7. Let f = 12 - d. Let s = 37 + f. What is the nearest to 0 in s, -3\/2, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 - -250. Let k = y - 92. Which is the second biggest value? (a) 3 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 2, k: 1, b: 2, z: 1, s: 1}. Give prob of picking 1 a, 1 k, and 1 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3872 is divided by 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -2*i - 9, 0 = -5*i + 5*g + 4 - 19 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 62 + 0*(-3 + 4\/2). Let m = u - 44. Suppose -13*z = -m*z + 10. Solve 3*o - z*o = 3*r - 13, 5*r = -3*o + 31 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*v**3*x**3 + 2*v**3*y**2 - v**3*y - 2*v**3 + 2*v**2*x**3*y - 799*v*x**3*y**2 - 23*v*x*y**2 - 571*x**3*y - 2*x*y wrt y?\nAnswer: 4*v**3 - 1598*v*x**3 - 46*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2530 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -66296*a - 530956. Determine p(-8).\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -244593582.9999935 - -244593524. Let b = 34 + 25. Let h = u + b. What is h rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2302873 minus -22?\nAnswer: 2302895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*v = -2*v + 53 - 421 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-21\/2)\/s)**2*(s**(3\/26))**(-37\/3) assuming s is positive.\nAnswer: s**(-531\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -666, -656, -646?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5\/4, 0.03, -2\/3 in descending order.\nAnswer: 5\/4, 0.03, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*t - 36876 = 633*t for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 434*k - 1. Let z(n) = -1102*n. Calculate z(t(l)).\nAnswer: -478268*l + 1102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 108544158.32 and -2.22.\nAnswer: 108544156.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-19)\/(-2))*(8 - 10). Solve -3*k + l + 2*l - p = 0, -5*l + 5 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 1 - (178 - 233) - ((3 - -15) + -6).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 247 - 195 = 0. What is the remainder when o is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-14) + 6\/21. Suppose -v*h = -0*h + 6, 2*z - 12 = -4*h. 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 s(w) = 61*w**2 - 8*w - 33. Let p(i) = 59*i**2 - 7*i - 32. Let b(q) = 7*p(q) - 6*s(q). Find the second derivative of b(f) wrt f.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k - 3. Let m be ((-28)\/(-3) - 3) + 6\/9. Let z(q) = -13*q - 10. Give m*t(b) - 2*z(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2708 is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8*s**3 - 43*s**2 - 92*s + 37. Is j(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-500)\/(-480)*(-4)\/(-10))\/(20\/36)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/5 + 714*m**2\/5 + 4311*m\/5 + 1296.\nAnswer: -(m - 720)*(m + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 28*q - 32*q + 5*i, 7 = q + 2*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005385 to 5 dps.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 + 225*o + 195. What is the thousands digit of p(-64)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 + -48. Let w = -79\/2 + t. What is the nearest to -1 in w, 2\/11, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 17 - 7*f)*(441319*f + 1 - 6 - 441812*f).\nAnswer: 3451*f**2 + 35*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 503, 1656, 3889, 7562, 13035, 20668, 30821?\nAnswer: 43854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (782\/(-138))\/(1292\/(-2280))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2 - 1, -5*c - 3*k = -5113. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + 2 + (-4 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (235 - -4)*(0 - -2 - -5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x + 9 = 35*x. Let h be x*8\/18*(-18)\/(-12). Suppose h*r = -269 + 1603. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10410 + -10410.5. Which is the third biggest value? (a) -0.4 (b) l (c) -0.03 (d) 0.2 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*(2*sqrt(612)*-4 + sqrt(612)) + -4)**2.\nAnswer: 2016*sqrt(17) + 479844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 0 - 115732\/(-41074). Let h = t - -1\/1867. Find the common denominator of h and 2\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4473*d. Let h(a) = -7*a. Give -7*h(i) + j(i).\nAnswer: -4424*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -9*g - 38. Let z = 14 + g. Calculate the remainder when 29 is divided by 53\/7 - z\/(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -4, 21 in ascending order.\nAnswer: -4, -1\/2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 284571 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.74, 55, 0.13 in decreasing order.\nAnswer: 55, 0.13, -1.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*b = -1470287 + 1465941 for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = m + m - 5*k, -m + 15 = -2*k. Calculate the remainder when 45 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122984583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) + (-4)\/(-3). Let y = 12 + -1. Let g(i) = -1. Let j(o) = o. Let n(z) = -4*z + 6. Let l(p) = 5*j(p) + n(p). What is q*l(m) + y*g(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from lmeeeeeeeee?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppe when four letters picked without replacement from depdeddeeepppd?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (87\/116)\/((-4)\/((-160)\/6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 0.031, 2.384, 4?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**2 + 10*q - 240 = 0?\nAnswer: -8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 9*a + 695. Give g(-52).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*s + 2. Let q(h) = 5*h**3 - h**2. Let c(i) = -i**3. Let y(o) = s*q(o) - 6*c(o). What are the prime factors of y(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 + v**2 - 5*v + 5. Let x be c(1). Solve -x*b = -3*m - 10, -m - 2 = -4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 14*p + 3. Calculate the remainder when l(2) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 890*k - 289*k = -359*k - 82560 for k.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.043 * 227\nAnswer: 9.761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 110 + 2?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 60 - 8 = 0. Suppose 2*r = 2*i + 28, 4*r - 13 - d = -5*i. Let t be r - (-1)\/(-2 + 3). Solve -t = 5*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-213)\/(-24) + 2\/16. Solve -5*l = -14*l + n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - ((-16 - -5) + 3 - -10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 278297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/19 (b) 0.4 (c) -0.04 (d) 5 (e) 70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -887 and -80.\nAnswer: -967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24039472 is divided by 3434209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14734*h + 3 + 808601*h - 2.\nAnswer: 793867*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78871185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 1. Let g be (j\/2)\/(-1) - -1. Let y be (5 - -4) + -1 + g. Solve -4*v = -y*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -739 or 6?\nAnswer: -739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1023 divide 2279688747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (7\/2 + -2)\/((-9)\/(-30)) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 18\/5 of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 4, 479 in increasing order.\nAnswer: 2, 3, 4, 479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56.1 + 54. Let p = w - 0.9. What is the second biggest value in -1, -1\/4, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29, -124, -197, -242, -253?\n\"Answer: x**3 + 5*x**2 - 117*x + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31401, -31431, -31461?\nAnswer: -31491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60363 is divided by 30173.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 4.0261296?\nAnswer: -1.61045184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 100456 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {l: 1, k: 2, h: 1, o: 1, y: 1, g: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1215211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36663, 146600, 329813, 586302, 916067, 1319108?\nAnswer: 1795425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/8)*m\/((m*m*m**(1\/2))\/m))\/(m\/(m*m**1))**(8\/19) assuming m is positive.\nAnswer: m**(159\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 973\/228 - 229\/57. Let w = -3.1 - -3. What is the third biggest value in -3, w, 1, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -258?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 26708\/(-227018)*3706\/4\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 25.74 (b) -0.3 (c) 0.2 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 303 + -190. Suppose -50*r - 3586 + 3636 = 0. Calculate the greatest common factor of c and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 3\/4, 0, -53?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-15) - (-24)\/(-40).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 7:53 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkkckrarckauklrkck. Give prob of picking 1 c and 2 r.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-1*990))\/(10\/150*-5)\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*s - 18 = 0. What is the lowest common multiple of s and (-21)\/2*(-24)\/14?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*o = k - 1, -2*k = 4*o - 2. Let l(f) = -1 + 2*f - 229*f**2 + 128*f**2 + 112*f**2. Calculate l(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -255 + 361. What is the second derivative of 64*u**2 + 56*u**2 - 46*u**3 - n*u - 87*u**3 - 122*u**2 wrt u?\nAnswer: -798*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5225.2 - 5225. What is the nearest to w in 10, 0, 3\/7, 1.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*(-12)\/(-18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6746 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1210 + 488 + 615 + 966)*(-3*s - 5*s + 3*s + (-3*s + 2*s + 3*s)*(2 + 2 - 3)).\nAnswer: -2577*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/3 - 2\/(10\/(-15)). Solve -3*j = 2*g, g + 5*j + l = 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Suppose j - k*j + 4 = 0. Suppose 4*x = 5*x + j*w - 13, 5*x + 5*w = 60. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (119 + -17)*(-88)\/(-528).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 41. Let d = s - -15.3. What is the second biggest value in 5, -2\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 191*p - 1864. What is the remainder when d(83) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2895448 + 5*a**3 + 2895448 + 19*a**3.\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 29*g + 900. What is the least common multiple of 351 and y(-27)?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 165\/(-135) + (-6)\/(-27). What is the tens digit of -88 + 86 + (v - -344)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -d + f, 2*d + 0*d - 3*f = 12. Let q(r) = -10 - 7 + r**2 - 2 + d. What is q(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*y**2 - 3*y**3 + 77*y - 117*y - 219*y + 22*y**2 - 47*y**2 wrt y.\nAnswer: -18*y - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 14, e: 1}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00609052 rounded to four dps?\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4\/q**(-2\/5))\/(q**2*q**(1\/4)))\/((q\/(q*q**(-3))*(q**(2\/7)\/q)\/q*q)\/(q**(1\/4)*q)**(2\/3)) assuming q is positive.\nAnswer: q**(293\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(847) + 2)*-6 + -4 + (sqrt(1008)*2 + sqrt(1008) + 3)**2.\nAnswer: 150*sqrt(7) + 9077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n**3 - 16*n - 6. Let m = -2 - -5. Let a = 24 - 8. Let c(g) = g**3 + 3*g + 1. Determine a*c(l) + m*v(l).\nAnswer: -2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2908731 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -366\/5 (b) -0.1 (c) -3 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-6*o**2 - 3*o + 3*o) + (-3 + 3*o**2 + 3)*(1 - 1 + 1).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-4)*21\/((-17325)\/(-60)))\/(324\/(-297))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 46*i**2 - 42*i + 6. Let z be l(24). Let t be ((-3)\/(-9))\/(-4 - (-602)\/z). Solve -12*k + t = -7*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.128 * -0.054.\nAnswer: 0.006912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + z**3 - 2*z**3)*(-562 + 562 + 29*z) + 4*z**4 - 5*z**4 + 7*z**4.\nAnswer: -52*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-3)*(-12)\/(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {l: 5, v: 4, k: 7, x: 2}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -58*h - 304 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 - 0 - 3) - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 - 34*r**2 + 76*r - 1287. Calculate c(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1157918401 plus 42?\nAnswer: 42.1157918401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-10 - -4 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/180 and 93\/260?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 102, 48, -28, -126, -246?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 21. Let h = l - 9. List the prime factors of 17\/(-2)*(-2)\/h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041533 (base 7) in base 8?\nAnswer: 737412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 282153 divided by -577?\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (48*h**2 + 47*h**2 + 11 - 96*h**2 - 6*h)*(0*h**3 + 0*h**3 + 10*h**3).\nAnswer: -10*h**5 - 60*h**4 + 110*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 4. Suppose -70 = -4*z + r, z - 3*r = -0*z + k. What is the smallest common multiple of 2\/5 + 58\/5 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*8\/216*9\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*n + 86 + 376. Let t = 0.1 + 0.1. Which is the nearest to -1\/4? (a) n (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/16 of a kilometer?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 129608863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 36773060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.92 - 3. Let f = x + -0.92. Let h = 3 + f. Which is the closest to -2\/5? (a) -0.3 (b) 0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*y + 1502279922 = 102*y. Let w be 1\/3 - 0 - y\/(-117). Round w to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i + 2*i**2 + 14*i - 3*i**2 - 11. Let m be s(10). Solve -4*j + j = -m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128225704?\nAnswer: 2, 29, 83, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7}. What is prob of sequence nn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 311503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 142, -2, 12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13, 51, 113, 199, 309, 443?\n\"Answer: 12*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k - 2. Let j be z(1). Solve 0 = -3*w + j*r - 3 - 7, -2*w - r = 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**3 + 4*j**2 + 2 - 4*j + 2*j**3 + 3*j. Let l be u(2). Let b = 13 - l. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36952*s**3*v**2 - 103*s**3*v + 475*s**2 - 2150*v**2 wrt s?\nAnswer: -221712*v**2 - 618*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(sqrt(28)\/sqrt(4) + -5 + (sqrt(1008) + 0 - sqrt(7)) + 0))**2.\nAnswer: -600*sqrt(7) + 5165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 182, 258, 350?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8cf (base 16) in base 6?\nAnswer: -14235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**9\/216 + z**8\/70 + z**7\/140 - z**6\/90 - 5*z**3\/6 + 9*z. Let g(k) be the second derivative of y(k). What is w in g(w) = 0?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000078811 to seven decimal places.\nAnswer: -0.0000788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -83643507.\nAnswer: 25093052.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 11 = 4. Find the third derivative of -3*a**2 + 2*a**4 - 2 - 3 + s wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/2052, -3\/25, 54?\nAnswer: -1\/2052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 9*c**2 + 2*c + 19. Let r(z) = -z**2 + 3*z + 9. Let q be r(-3). Let d be k(q). Solve 0 = -5*x + 3*p - 5, 0 = -x - 3*p - d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 - (-96 + -2)*3\/30. Factor 0*t + 4\/5*t**2 + 0 + 36\/5*t**4 - f*t**3.\nAnswer: 4*t**2*(3*t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*s = s - 2, 5*k - 4*s = -7. Let f = -1 - -4. Let b = 5 - f. Sort b, k, 0 in descending order.\nAnswer: b, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-13)*l**(-4)\/l assuming l is positive.\nAnswer: l**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 1 - 1)*((3*b + 4*b - 6*b)*(0*b**2 + 0*b**2 + 2*b**3) + 11*b**4 + 3*b**4 - 3*b**4).\nAnswer: 26*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m + 140 = 5*c, -4*c = 5*m - 139. Suppose m*p = 30*p - 1965. Is p a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6522 + 6526. Does -76 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.41 - 10.9. What is x rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 2*f**2 + 4*f - 9. Determine j(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*h + 725 = 394*h for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-16)\/(-16))\/(6\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 12:35 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 5*j**2 + 3*j + 4. Suppose t - 5*m = 2, -3*t = 4*m - 3*m - 6. Suppose 14 = 4*x - t*u, -x + 0*u = 3*u - 14. List the prime factors of f(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15*-5*4\/(-100). Solve -x + 1 = -c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*x - 11*x - 112 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136 - 124. Let b(l) = l**2 + 11*l + 29. What is the units digit of b(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234\/(-65)*35\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1, -7, -13, -19?\n\"Answer: -6*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 7*z**2 + 6*z + 6. Calculate the least common multiple of 9 and a(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, m: 15}. Give prob of picking 2 z.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-192)\/1200)\/((-4)\/(-10)). Let o(z) = -z + 14. Let r be o(9). Which is the nearest to 0.1? (a) f (b) r (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 1:44 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163666632?\nAnswer: 2, 3, 6819443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9868925 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)*1*1 - (-6*sqrt(350)*-1 - sqrt(350)))\/((sqrt(252)*2)\/(sqrt(9)*-1*5)).\nAnswer: 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 13)*((-172)\/430 - (-143)\/(-30))*2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1291 + -827. Let b = n + -460. What is the smallest common multiple of b and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25096 is divided by 502.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let z(a) = 2*a**2 + 5*a - 2. Let f be (-1 - 1) + -3 + 3. Let g(r) = f*z(r) + 10*n(r). Solve g(d) = 0 for d.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 528017 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m = 5486863 + 2326453. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 0, 21, 70, 159, 300, 505, 786?\nAnswer: 1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 6*t - 278. Let q be o(-23). Suppose 19*u = 77 + q. Calculate the smallest common multiple of u and 186\/15*(6 - 1).\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4*i - 2*i + 6 = 0, 4*i = -16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from {v: 1, x: 1, q: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-106 + 6\/3)*452\/(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**3 + z**2 - 57*z - 18. Let s = -11 - -8. Let x(a) = 11*a + 4. Give s*x(o) + 5*f(o).\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12405 divided by -101.\nAnswer: -12405\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, g: 5}. Give prob of picking 3 m.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 38. Let g be (3\/9)\/(c\/18). What is the second derivative of -20 + 20 + 14*m - g*m**4 wrt m?\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*z**2 - 1266*z - 570 with respect to z.\nAnswer: -4*z - 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2500*10\/(-4) - (-56 - -61) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043200 rounded to the nearest ten thousand?\nAnswer: 1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/(sqrt(40)\/sqrt(20)) + -6*(sqrt(18) + 1)*5.\nAnswer: -84*sqrt(2) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 662970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 + 0*w**3 - 2*w**3 + (4256*w - 1899*w + 2506*w)*(-2*w**2 - 3*w**2 + 3*w**2) to the form m*w**2 + n + k*w**3 + c*w and give k.\nAnswer: -9729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 5:43 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 759 + 1236 = 0. Calculate the least common multiple of 30 and i.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-2)\/n)\/(n**(-1\/9)*n))**(-29)\/(n**(3\/8)\/(n*(n**6*n)\/n)*n**(-1\/2)\/n*n**(1\/2)) assuming n is positive.\nAnswer: n**(4493\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 48 - 276 = 0. Suppose -2*h + 96 = 4*c, 2*h + 0*c + c = m. Let r = 159 - h. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 51. What is the closest to 1 in q, 2, 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123 + 132. Suppose 7*r = b*r - 12. Let s(d) = 10*d - 3. Let i(w) = -2*w + 1. Let u(o) = r*i(o) + s(o). What is u(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3))**16\/((f\/f**(2\/3))\/f**5))\/(f**6\/(f\/f**(-3\/2)))**(-16) assuming f is positive.\nAnswer: f**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.7 + 4. Let i(q) = q**2 - 2*q - 1. Let h be 2*(-4 - -1)\/(-3). Let a be i(h). What is the biggest value in a, 1\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/2 and -21\/134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuuf when four letters picked without replacement from {u: 7, f: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 + 3 - 3 + (-3 - 3 + 4)*(g**3 + 2*g**4 - g**3) + 15*g**2 - 10*g**2 + 0*g**2 - 5*g**4.\nAnswer: -7*g**4 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbjfyf. What is prob of sequence fjj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1101001100 (base 2) to base 4\nAnswer: 31030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*u, 0 = 4*s - 2*u - 142 + 136 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 y when four letters picked without replacement from cvzczmzyoyovzcczc?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 - (-193 + -6 + 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5) + (-6)\/15. Suppose i = 2*r - 52 - 108. What are the prime factors of r\/14 + (-6)\/(-21)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 415186?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 + -0.1. Let f = n - -2. Let t = -2.6 + 0.6. Which is the nearest to -1? (a) -0.1 (b) t (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227995, 456203, 684411?\nAnswer: 912619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1303 divided by -729?\nAnswer: 1303\/729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4356081 is divided by 176?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1363 = 9*o + 1489 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -115 - -117. Let z = -0.9 - 0.1. Let c = r + z. Is -0.02 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*q**3 + 18 + q - q - 26 wrt q.\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113 - 110. Suppose -y - 57 = -4*d, c*y - y = 3*d - 49. Let h(w) = 1 - 6 + 1 - 15*w + d*w. Calculate h(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64793523 rounded to four decimal places?\nAnswer: 0.6479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a + 95 = 317 - 114 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6b4 + -4b8?\nAnswer: 1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181154 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2792442.\nAnswer: 2, 3, 465407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 24987*5\nAnswer: 124935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7845900 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-56016)\/(-1945))\/(36\/(-40))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-two fifths of a centimeter?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6 + 0 - 4 - 3. Let t(r) = 2*r**3 - r + 2. Determine -3*c(a) - t(a).\nAnswer: -2*a**3 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 62895990 divided by 8\nAnswer: 31447995\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*q = -65*q + 20. Let z(g) = -60*g - 6. Let u(x) = 1. Let m(r) = q*z(r) + 24*u(r). Let p(s) = -2*s. Give p(m(l)).\nAnswer: 480*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 918 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -115*f**3*g - 1381*f**3 + f*g**3 + 3*f*g wrt g.\nAnswer: -115*f**3 + 3*f*g**2 + 3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 10, -12, -5, 170, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 74 + -80 + (3 + 1 - 73) + -1\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 68*f**6 + f**4\/2 - 137*f**2\/2 + 4*f + 300. Find the second derivative of d(s) wrt s.\nAnswer: 8160*s**3 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -1) + 209\/19. Suppose 4*c = -5*w + b, -4*w - 5*c + 15 = -0*w. What is the closest to 0.3 in -0.5, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 144\/(-63))\/((-2)\/(-4)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 41*w**3 - 5*w**2 + 3*w + 5. Let r be ((-40)\/(-12) + -4)\/((-28)\/(-210)). Let g(c) = 20*c**3 - 3*c**2 + 2*c + 3. What is r*g(f) + 3*h(f)?\nAnswer: 23*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r - 6. Let u be t(3). Suppose 3*y - n - 10 = -2*n, -y - 2*n = 0. Calculate the remainder when 2\/12*y*u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -65.85 and -1.2.\nAnswer: -67.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000 + -11001111100010101?\nAnswer: -11001111101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26558 is divided by 253?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -61, -66, -61, -40, 3, 74?\n\"Answer: u**3 - u**2 - 9*u - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 14400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 473865863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.12 - -2.12. Which is the fourth smallest value? (a) -3\/2 (b) -3 (c) t (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/15)\/4*(-60)\/(-36)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 189590 and 0.63.\nAnswer: 119441.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 95 + -4?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13124, -14131, -15136, -16139, -17140, -18139?\nAnswer: -19136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 226923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + -0.4. Let q = 444\/13 - 34. Sort q, c, 2.\nAnswer: c, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1831 is divided by 981?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308719 is divided by 45128.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.48440312 rounded to four decimal places?\nAnswer: 7.4844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -26*u**4\/11 + 304*u**3\/11 - 1074*u**2\/11 + 940*u\/11 + 400\/11 = 0.\nAnswer: -4\/13, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x + 181. Let o be v(0). Suppose -5*k + 226 = 4*n, -4*k - 2*n - 5 = -o. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**2 - 5*m**2 + 37 - 17*m + 12 + m**2. Let x(d) = -2*d + 5. Calculate the remainder when x(-3) is divided by n(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*d = 2*d - 7, -d = 3*m - 13. Suppose 0 = t - m - 0. Suppose 5*r + 10 = 0, t*l + r - 38 = 5*r. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ongissop. Give prob of picking 1 n, 2 o, and 1 p.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 5 + 4)*(5*i**2 + 3*i**2 - 2*i**2) as d*i**2 + q + n*i and give d.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3058493?\nAnswer: 3058493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 137*f**2. Let o(w) = -608*w. What is o(u(l))?\nAnswer: -83296*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -1230653?\nAnswer: -1230654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.69 - 5. Round s to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*20\/(-50)*5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 48*p**2 - 378*p + 86. What is r(-14)?\nAnswer: -1286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from {f: 4, l: 15}.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-15)*(h\/h**(2\/49))\/h*((h*h**(-2)\/h)\/h)**(3\/2) assuming h is positive.\nAnswer: h**(-1915\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.5 + -17.694. Let n = 0.2 + w. Round n to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -24. Suppose 3*s - 35 = -2*q + n, 60 = 2*q - 3*s. Suppose 0 = 5*t - 8 - q. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1) + (2 - (-5 - -4)). Suppose -g*m = 2*m - 6*m. Solve m = 4*z + 6 - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2969444?\nAnswer: 2, 607, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (133*v - 265*v + 119*v - 6)*(11 - 11 + 10) as a + m*v and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*1\/9*40\/(-70).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 7*k + 10. Let h(i) = -i**2 - 4*i - 6. Let l(g) = 4*c(g) + 9*h(g). Give l(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1223 is divided by 301.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1412 and 87837343?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 20.8. Let y = f + 5.3. What is the nearest to 1\/3 in y, -0.5, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16624*c*p**4 - 2*c*p**2*v**2 + 42*c*p**2*v - c*p*v**2 + 21*c - 181*p**3*v**2 - 131*p**2*v - 22*p**2 wrt p?\nAnswer: -398976*c*p - 1086*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 4. Let j(h) = -1 + 2*h + h + h - 3*h. Let o be j(w). Which is bigger: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/(-14))\/(2\/20). Let h = 9 - 7. Sort a, -2, h in ascending order.\nAnswer: a, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*v - 2960 = -123*v. Is v at least -297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-25)\/105*(-105)\/10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*(0 + sqrt(425) + sqrt(425) + -4 + (sqrt(425) - (sqrt(425)*3 + sqrt(425)))*-2 + 3)**2*2.\nAnswer: -480*sqrt(17) + 163206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 98*b + 3035. What is the least common multiple of j(-16) and 2445?\nAnswer: 7335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-216 - -222)*(-1)\/(-5)*(-5)\/(-3). Put q, -0.04, -6 in descending order.\nAnswer: q, -0.04, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 2*v + 4. Let j(r) = 3*r**3 - 2*r**2 - 5*r + 8. Let a(q) = -3*j(q) + 5*o(q). Let k be a(-4). Solve i - 4 + k = 0, -2*i = d + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147222 - 412120 = -38*d. What is the thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2916 and 5633226?\nAnswer: 33799356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/65 + -573\/715. Let y = h + 6\/11. Sort 4, -3, y in descending order.\nAnswer: 4, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -149 + 160. Suppose -2*l + 30 = 3*l. What is the remainder when a is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2.2, 22 in descending order.\nAnswer: 22, 3, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/2 of a year?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -157664540 to the nearest 10000.\nAnswer: -157660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10212415 (base 6) to base 8.\nAnswer: 1104633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.3099 * 401\nAnswer: 525.2699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 50*q + 293. What is b(5)?\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 8*w + 1. Let r be s(9). Suppose 5*a - 3*c = 2*c + r, -3*c = 4*a + 20. What is the remainder when ((-4)\/2)\/a - -9 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1125 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 524, 1059, 1594, 2129, 2664?\nAnswer: 3199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -124603*-12\nAnswer: 1495236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 10. Let q be b(-3). Let y(w) = w**2 + 7*w - 8. Let r be y(q). What is the greatest common divisor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31363951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 349b579 (base 12) in base 14?\nAnswer: 14c6749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven halves of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.848 and -162.395?\nAnswer: 165.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d**2 + 14*d - 6. Let r(h) = -1 + 2 + h - 2. Let o(b) = f(b) - 6*r(b). Find the second derivative of o(i) wrt i.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**5\/11 + 58*o**4\/11 - 30*o**3\/11.\nAnswer: 2*o**3*(o + 15)*(2*o - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 19*v**2 + 60*v + 42. What are the prime factors of f(-22)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 7*z**2 + 86*z - 692. What is w(11)?\nAnswer: -1924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1684 by 4.\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4888, 5.5, 4 in ascending order.\nAnswer: 4, 5.5, 4888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19905, -157898, -532447, -1261830, -2464325, -4258210?\nAnswer: -6761763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13378, 25925, 38472, 51019?\nAnswer: 63566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2\/5*v**2 + 4\/5*v**3 - 4\/5*v + 3\/5*v**4 - 1\/5 = 0?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555747859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -714111, -1428219, -2142327, -2856435, -3570543, -4284651?\n\"Answer: -714108*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 10*f**2\/13 - 14*f\/13 + 4\/13 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2255, 4385, 6515, 8645, 10775?\nAnswer: 12905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 317*y**2 + 328*y**2 - 1249*y**2 - 1446 wrt y.\nAnswer: -1208*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 8:21 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -141805\nAnswer: -141805.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unn when three letters picked without replacement from uiiniiiintntin.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**3 - 20*h**2 - 7*h + 21. What are the prime factors of k(-5)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nug when three letters picked without replacement from ugttrrrtrtmnmumugrru?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -42*y**3 + 2*y + 8*y**2 - 10*y**2 + 48*y**3. Let u(j) = 7*j**3 - 3*j**2 + 3*j. Suppose 0 = -257*r + 251*r + 18. Calculate r*k(a) - 2*u(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(2057) + sqrt(2057))*-3 - (sqrt(2057) + sqrt(2057) + 2 + -2))*4)**2.\nAnswer: 32912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/752785 and 29\/136870.\nAnswer: 1505570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 - 3*x**2 + 6*x. Let b = -75 + 81. Let d be 15\/30*b*-1. Let p(n) = 6*n**3 + 8*n**2 - 18*n. Determine d*p(z) - 8*t(z).\nAnswer: -2*z**3 + 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**5\/20 + 7*q**4\/12 - q**3\/6 + 3*q**2 - 13*q. Calculate f(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*h**3 + 391*h**3 - 206*h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(9) - (sqrt(36)\/(sqrt(4)*2) + sqrt(9)))*-1.\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.92 + 8.98. Let x = 12 - w. Round x to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.5875nm to kilometers.\nAnswer: 0.0000000000295875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -62. Let d = 9 - a. Let t = d + 17. What is the second smallest value in -0.2, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10*3)\/(-3))\/(70\/1344*-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2 - 1 + 0*l + 2*l. Let m be 23\/3 + 4\/(-6). What are the prime factors of b(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 + 3*v - 2. Let r(b) = 16*b**2 + 16*b - 10. Let a(g) = 11*m(g) - 2*r(g). What is a(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = -2*t + 22, 0 = -5*t - 2*f + 31. Suppose 21 = q - 4*w - w, -t*q = 5*w - 15. Is 14 a factor of q\/39 + (-1593)\/(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.18 and -316533?\nAnswer: -56975.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -293 + 212 + 63 + (-1 + 3 - -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 67 = w, 6 = w + 1. Let g = 62 - j. Suppose 2*y - 4*y + 7294 = g. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61816.22 millilitres to litres.\nAnswer: 61.81622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 1. Let v(u) be the second derivative of 7*u**3\/6 - 3*u**2\/2 - u. Let s be (-2)\/1 - (19 + -16). Give s*p(k) - v(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/12 and 145\/138.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 70, 2, -7, 0 in decreasing order.\nAnswer: 70, 2, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*z + 4*t, -z - 4*t - 10 + 2 = 0. Suppose z = -5*v - 15, -2*a + 0*v - 12 = 2*v. Let o(y) = -8*y - 4. List the prime factors of o(a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*-4*-6*(sqrt(99)*2 - sqrt(99)))\/(2*(sqrt(1800)*2)\/(2*sqrt(98))).\nAnswer: -504*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**2 - 33*c + 18. Is u(10) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/1)\/(5*15\/50). Let a(n) = 2*n**2 + 3*n + 7. Calculate the smallest common multiple of a(w) and 21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 14. Let d be f\/(-2) + (-2 - -5). What is the second derivative of -3*s**4 + 2*s + d*s**4 - 5*s + s**4 wrt s?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-4)\/(-372)*-3*3?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**6\/480 + 17*y**5\/240 - 47*y**2 + 1. Determine k so that s(k) = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 51*k - 1. Let g be m(2). Let o = g + -96. Solve -7*d - 1 = -s - 2*d, -5*s - o*d = -5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 38. Let p(o) = 3*o**2 - 6*o. List the prime factors of p(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 708*k**2 - 8890*k - 8184.\nAnswer: -2*(k + 1)*(k + 12)*(k + 341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/((-8)\/2) - 4. Suppose 3*x + 0*b = -2*b + 2, -5*x + 2*b - 2 = y. Solve -a = g + 3, -4*a + 0*g - g - 18 = x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 3*i - 3. Let a be 5*(0 + 1)*-1. Let k(o) = -6*o - 1. What is the smallest common multiple of k(-2) and v(a)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymy. Give prob of picking 1 y and 1 m.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 24. Let d = b - 7. Let i = 4.000037 - d. What is i rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, a: 2, b: 1, x: 10}. What is prob of picking 1 f and 1 b?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(-12 + 11 + 11 + 1). Find the first derivative of 29 + r - 38 + 68*w**2 wrt w.\nAnswer: 136*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c. Let l(s) be the first derivative of -50*s**3\/3 - 30. Calculate n(l(g)).\nAnswer: 100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + (sqrt(616) - (sqrt(616) - sqrt(616)*-3))\/sqrt(11) + sqrt(896) + (-3*sqrt(896) - sqrt(896)))\/(3*2*(sqrt(800) + (sqrt(800) - -1*sqrt(800)))).\nAnswer: -7*sqrt(7)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/262 and -117\/8440.\nAnswer: 1105640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 6*d**2 + 46*d + 9. Give z(-9).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + t - t + 4 + 4*t - 3*t - 3 - 2*t + 3*t + t + (-30*t + 64*t - 22*t)*(2 - 4 + 3) + 0*t - 3*t - 4*t.\nAnswer: 9*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1287 = 47*u - 38*u. Calculate the remainder when u is divided by 35.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 19*y + 9. Let l be (-18)\/2*1\/(-1). Let u be x(l). Solve 17*b - 18*b - 4 = u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 13 + 39 = -2*k, 0 = k - 5*b - 17. Let u be (-4 - k)\/((-6)\/18). What is the units digit of 7\/(-21) - (-25)\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-2)\/(-3))\/((-40)\/90)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/((-12240)\/11930) + 19 and 1\/1700?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*a + 80*a = 810. Suppose -13 - 3 = -4*v, z + 151 = 5*v. Let g = a - z. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g. Let r be m(-5). Suppose 5*y + 3*l = -r, l - 2*l = -y + 7. Suppose -3*n = 2*b + 2*b - 23, 5*n = b. Solve -3*s - y*s - b = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2. Let n(b) be the third derivative of 5*b**5\/12 - 13*b**2. Determine n(s(t)).\nAnswer: 100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 48 = -60. Let f(g) = g + 7. Let z be f(j). Solve z = -7*v + 38 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29960.\nAnswer: 2, 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1819 + -1152. Is t a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -190*h**3 + h**2 - 21*h - 23. What is the smallest common multiple of 90 and a(-1)?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4798 + -2065. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112 - 21421\/186)*-36.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*r = 35, 10287*w + 15 = 10288*w - 3*r for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 12*i - 1. Suppose c - 35 = -36. Determine x(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*t - 6 - 11, -16 = -3*r - 2*t. Suppose r*s - v - 7 = 0, 6*s = 2*s + 5*v + 11. Solve -s*u - p - 20 = 0, 5*u = p - 8 - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -956\nAnswer: 1\/478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*d + 5 - 5)*(-3*d**2 + 3*d**2 + d**2) - d**3 + d**3 + 3*d**3)*(-2046*d - 278*d + 6080*d) as r*d**4 + l*d**3 + h*d**2 + j + f*d and give r.\nAnswer: 22536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 2:29 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086636854 rounded to 4 dps?\nAnswer: 0.0866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7.3, -5\/4 in ascending order.\nAnswer: -7.3, -3, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -199*l + 2490. Calculate b(19).\nAnswer: -1291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19976377.\nAnswer: 17, 73, 16097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -1774\/1463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -249 - -248.9678. What is d rounded to 3 decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19350 and 66540?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (-57 - -3) + -8\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14727 and 26760?\nAnswer: 131364840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 199495 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 894 (base 14) to base 11.\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, 30, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0 - -67 - (2106 + -2139)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.7 - -7.2. Let w = f + -12.093. Let p = w + 0.192923. What is p rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2. Let t = -2.9 - -4. Let w = s - t. Which is the biggest value? (a) w (b) -4 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.5, 373, 12, 0.2, 3\/16?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 3 = -3*h, 8*k - 7 = 13*k + 4*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/15)\/1*126\/(518\/(-37)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 0.5, -1, -68, 33.225?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -17 (b) -4 (c) 10 (d) 0.5 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 6*y**2 + y - 2. Let u be h(-5). Let c = -19 + u. Let r be 3 + c\/(-1) - 2. Solve 3*v + r = 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0, 574.\nAnswer: -2\/5, 0, 574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjrjajgarjjraara. Give prob of picking 3 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -311664, -11, -0.3 in descending order.\nAnswer: 0.5, -0.3, -11, -311664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*t + 7*t = -2, 3*t - 10 = -5*u. Sort 2\/5, u, 1 in descending order.\nAnswer: u, 1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-21) - 1\/28. Let t = -51.1 - -55. Let s = -4 + t. What is the second biggest value in 2, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 157852*d**3 + 256590*d wrt d.\nAnswer: 947112*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n**2 + 13*n + 7. Let b(r) = 3*r**2 + 6*r + 3. Suppose -14*i = -10*i - 36. Determine i*b(o) - 4*u(o).\nAnswer: -o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*h - 12*h - 8*h)*(6*h**2 + 0*h**2 - 2*h**2 + (-7*h - 16*h + 40*h)*(h + 6*h - 3*h)).\nAnswer: 288*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5)**(1\/19)*f**13*f\/f**8)**(3\/5) assuming f is positive.\nAnswer: f**(357\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/3*(-3)\/2. Suppose -4*i - 2 = -p*t, 0 = 4*t + i - 5*i - 12. Suppose 5*u = -5*d + 140, -t*d + 132 = 5*u - 2*d. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 204715676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z + 1 + 2*z + 132*z**2 - 539*z**2 - 28*z + 7*z to the form a*z**2 + h*z + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 4:12 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8711.037 decades in centuries?\nAnswer: 871.1037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-3\/4)\/y)*y**(-1\/6)\/y)\/(y**(1\/5)\/y**10))**(-18) assuming y is positive.\nAnswer: y**(-2049\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 119 = -3*t + 3*z, 3*z - 114 = -3*t. Calculate the greatest common factor of 2850 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 25 + -18 - (1 - (54 - 1))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 5 - -7) + -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -20 - 34. Suppose -5*n - 15 = 0, 3*n + n - q = -5*s. Suppose -3*c = -48 - s. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 0, 1\/7, 4, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 11222.\nAnswer: 11225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -37. What is the units digit of z\/((3\/(-25))\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2277023 divided by -161.\nAnswer: -14143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 2*o**2 + o. Suppose 0*b = 5*b. Let w be n(b). Does 10 divide 23 - (3 - 0 - w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3314 - -142441320?\nAnswer: 142433001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 4:37 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 427*c + 2604. Let m be w(6). Let b(j) = 6*j**2 + 4*j + 21. Let r(i) = -3*i**2 - 2*i - 10. Determine m*b(k) + 13*r(k).\nAnswer: -3*k**2 - 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -0.185 (c) -2\/7 (d) 18 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*p - 0*w + 10200, 6*w - 8160 = 4*p. Sort 1\/2, 2\/19, p in decreasing order.\nAnswer: 1\/2, 2\/19, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 3. Suppose 3*y + 22 + 1 = 4*n, 2*n = 2*y + 10. Suppose 0 = 4*u + 2*w + 2, -3*w + n*w = 15. Let t be -2*((-5)\/u - 0). Determine q(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1335\/(-356) + -2 + 2)*(19 - 3).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329960?\nAnswer: 2, 5, 73, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3067, -4958, -8111, -12526, -18203, -25142, -33343?\n\"Answer: -631*l**2 + 2*l - 2438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 19 - (0 + -7 - (-26 - -20)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1438892659 rounded to four dps?\nAnswer: 0.1439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (sqrt(176) + 3 + (-3 + sqrt(176) - sqrt(176)))**2*-2)*5 + 3.\nAnswer: 5283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -198041*r**2 + 22234 with respect to r.\nAnswer: -396082*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -5 + 3 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + 2.3. Which is the biggest value? (a) 0.1 (b) h (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 498 = 3*r, -9*r + 8*r = 3*q + 166. Let k be 264\/68 + (5 - r\/(-34)). Calculate the greatest common divisor of 44 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 19. What is the units digit of z + 2 + 0 + 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1124, 3620, 7484, 12716, 19316, 27284?\nAnswer: 36620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/4 + 19*c**3\/4 - 27*c**2\/4 - 115*c\/4 - 17 = 0. What is c?\nAnswer: -1, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38.1 + -22.1. Sort -4, 1\/7, w in decreasing order.\nAnswer: w, 1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 699 + -619. Suppose -11710 = -f*a + 70*a. What are the prime factors of a?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*c - 551, 10*j = 8*j + 5*c + 380. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 27, 236, -2 in increasing order.\nAnswer: -6, -2, 2, 27, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 883 - 884. Which is the nearest to d? (a) -5 (b) -123 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15447 - -1463?\nAnswer: 17132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 42 = 6*g, 8445*g - 8449*g + 0 - 6 = -f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116997.\nAnswer: 3, 59, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i = -416*i + 8974 + 17274. Calculate the greatest common divisor of i and 61948.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**3 - 4*t**2 - t - 2. Does 6 divide h(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12651193967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*x + 3, -y + 3*x - 1 = 0. Suppose -4*m - 12 = -20. Let w(j) = 6*j**2 + 1006*j**3 + 2*j - 2*j**2 - 1007*j**3 - m. What is w(y)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*f + 32654, 193*f - 195*f - 2*k = -16330. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in months?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 968 + -965. Solve 4*n = w - 0*n - 6, 3*w + i*n = -12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2))**26*(u**1*u)**(-41) assuming u is positive.\nAnswer: u**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 2:53 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 18 + 19. What is the nearest to u in 0.3, -2, 1.4, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 348591016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 + (10 - 4) + (2 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**3 - 14*k**2 + k - 9. Let s(a) = 4*a**3 + 13*a**2 + 8. Let o(z) = -3*q(z) - 4*s(z). Let j be o(-10). Solve -2*t = 6, j = -b + 3*b - 5*t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(-5 - 1 + 4 + (-1 + 3 - 1)*(0 + 3 - 2) + 2 + 4 - 4 - 3 + 4 - 3 - 54 - 66 + 55)*(-4 + j + 4).\nAnswer: 66*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 915*z**2 + 0*z**3 - 915*z**2 - 161 - 2*z**3 + 3380 in the form x + l*z**3 + d*z**2 + t*z and give x.\nAnswer: 3219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103736134.\nAnswer: 2, 163, 318209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/11, -5, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 0 - (9 + -26). Let l be ((-9)\/12)\/((-6)\/i). Solve -l*n + 1 - 5 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*o - 685584 = 1268420. List the prime factors of o.\nAnswer: 2, 13, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.93 - -1339.\nAnswer: 1341.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 2*i**2 + 6*i + 15. Give m(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -815*m. Let w(b) = -76*b + 6. Let i(q) = 25*q - 2. Let o(c) = -3*i(c) - w(c). What is t(o(g))?\nAnswer: -815*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61*d**2*q - 22672*d**2 + 81*d - 2916556*q**3 - 4 wrt q?\nAnswer: -61*d**2 - 8749668*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 - -307\/4. Which is the nearest to g? (a) -0.2 (b) -2\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**3\/5 + 5414*s**2\/5 - 269068*s\/5 + 562224 = 0.\nAnswer: -2756, 15, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9116284, 9116241, 9116200, 9116161, 9116124, 9116089, 9116056?\n\"Answer: g**2 - 46*g + 9116329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1008) + 0)*3)**2 + -4 + (sqrt(1008) - sqrt(1008)*1) + -4.\nAnswer: 326584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 846567937149 and 0.1.\nAnswer: 846567937149.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -86828852*o - 144562588.\nAnswer: -86828852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v - 141*v**2 + 29*v - 1084*v**2.\nAnswer: -1225*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.227 + 0.007. Let f = 1.2 + x. Let h = 0.1 - -0.1. Which is the third smallest value? (a) h (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90319, -2\/7, 0.5, 1.\nAnswer: -2\/7, 0.5, 1, 90319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.45633 at most as big as 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*i**4 - 22435*d**3*i**2 - 9148*d**2*i**5 - d*i**2 wrt i.\nAnswer: -24*d**3*i - 548880*d**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 greater than -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -41*v**3 + 11*v**2 + 8*v - 8. Let y(z) = 27*z**3 - 7*z**2 - 5*z + 5. Suppose c - 22 = 2*j, -4*c - 34*j + 37*j = -53. What is c*y(k) + 5*a(k)?\nAnswer: 11*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times 2\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.052327 decades in centuries?\nAnswer: 0.8052327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -43, -64, -83, -100, -115?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 (base 10) in base 3?\nAnswer: 112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrdrdrrrrrddr. Give prob of sequence drr.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -44825 (b) 5 (c) -1 (d) -3 (e) -0.1 (f) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -1) + (-6 - (-2 + -5)) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 873028?\nAnswer: 6111196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -5452?\nAnswer: -1\/2726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 325921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0*-3*6\/72\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35884039?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115166 is divided by 1828.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 5160\/(-515) - (3\/(-6) + 351\/54)?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/33 - -289\/132. Let n = 7\/249 - 30\/83. What is the nearest to n in d, -1\/9, 0.3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h + 1. Let m be s(1). Suppose -3*y - 15 = 0, 292*d + 300 = 297*d + 5*y. Sort d, m, 0.\nAnswer: m, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5512 + 4970. Calculate the highest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2377 - -2469.12. Let l = o - 0.12. Let d = 91.99967 - l. Round d to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 854 - 150 + 0*f + f.\nAnswer: -f + 704","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*k - 3)*((-31 + 8 - 9)*(1 - 1 + 4) + (2 + 0 + 0)*(2 - 3 + 3) + 1 + 1 + 1).\nAnswer: -363*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145 (base 8) to base 16.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - ((-9 - -3) + 2 + 2). Suppose p = -2*p + w, 0 = 5*r + p - 403. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 h when four letters picked without replacement from {r: 3, o: 2, h: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 + (-6 - -6) - 14?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10210064 and 512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4006, 7995, 11984, 15973, 19962?\nAnswer: 23951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7488093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7093385 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158 - -169. Suppose -41 + 8 = -5*b + 2*z, b + 4*z = -p. What is the nearest to -0.3 in b, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/((-3)\/(3\/2)). Suppose -o + f = -f + 4, -5*o = d*f - 36. Let v be 32\/5 - o\/10 - 3. What is the third biggest value in -15, v, -0.3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5003 - 64638. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 + 1)\/(-1 + 0). Suppose -h = -3*u - 79, 237 = 2*h + h + m*u. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 71*p*y + 12*p + 265*y - 7 wrt p.\nAnswer: 71*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4*5\/(-1380))\/((-5)\/30)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*q = -22, -7*n - 14 = -6*n - 4*q. Solve k + 5 = o, 5*o = 2*k + 23 - n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + sqrt(11) + 0)**2.\nAnswer: -4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9383928 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + 389.\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -371741 + 142?\nAnswer: -371577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -4623 and -4621 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20607816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*1 + (1*sqrt(132))\/sqrt(12))*-2*1.\nAnswer: -26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*g = -14, 6*c - 4*g = 2*c - 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 7*a**4\/8 - 2*a**3\/3 - a**2. Calculate the remainder when g(3) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 33*v + 214. Calculate the remainder when 84\/1 - (1 + 1) is divided by k(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, -43, 1, 240, -5 in decreasing order.\nAnswer: 240, 9, 1, -4, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-210)*-2)\/(63\/(-147)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 118 = -v, 0 = -3*v - 2*v + 15. Let y = k + -3. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20205 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5) + (3 + 3 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7621, -15283, -22945, -30607, -38269, -45931?\nAnswer: -53593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5811182 and -5.\nAnswer: 29055910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.2 + -2. Let w = 1 - -13. Let z = w - 43\/3. Is z <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79032*k - 26346*k - 26338*k + 3*k**3 - 26348*k.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 346 or 382?\nAnswer: 382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 816639, 3266218, 7348839, 13064496, 20413183, 29394894, 40009623, 52257364?\nAnswer: 66138111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Let z(o) = 6*o**2 + 230*o + 2. Calculate u(z(w)).\nAnswer: 6*w**2 + 230*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001011111001111 (base 2) to base 4.\nAnswer: -321133033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**0)**9*(g*g**(-7)\/g)\/g*((g*g\/g**(-3)*g)\/g)\/g*g assuming g is positive.\nAnswer: g**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -5, -143, 31, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 + 15 - (-74 - (-99 - -48))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-6 + -1 - -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462991 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-16))\/((-186)\/(-868)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 - 22*h - 24. Calculate i(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 12*d**2 - 4*d + 7. What is the hundreds digit of j(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 459306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 21, -5.\nAnswer: -5, 21, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 + 88. Suppose -12*h + y*h = 1308. Suppose 3*b - b - h = -3*i, 0 = -4*i - 4*b + 288. Calculate the greatest common factor of i and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 16 = 5*u, 11*u = 4*k + 18*u + 22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - -2876095*21\/1. Round k to the nearest one million.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36\/19? (a) 0.19 (b) 0.3 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(200) + sqrt(200) + -2 - (sqrt(800) + sqrt(32)) - sqrt(18)\/(sqrt(36)\/sqrt(4)*-6)))**2.\nAnswer: 115*sqrt(2)\/3 + 979\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/(-42))\/((-1)\/(-7)). Suppose -46 + 318 = -o*i. Let q be i\/(-60) - 2\/15. What is the highest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 26 - 19. Suppose 0 = -14*m + u*m + 175. Let i = -26 + m. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a7e7 (base 15) to base 2.\nAnswer: -1000101011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23868880, 47737746, 71606612?\nAnswer: 95475478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - ((-51 - 32) + 102)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1582, 1579, 1574, 1567, 1558, 1547?\n\"Answer: -x**2 + 1583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38836069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + 1 - 4*(-6)\/(-12). Suppose 12*l - w = 8*l. Suppose 2*i - 7*i - 5 = 0, -l*n + 69 = -3*i. What is the lowest common multiple of n and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7324672*b**3 + 14649262*b**3 - 7324644*b**3.\nAnswer: -54*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 12, 3*v = u + u - 51. Let l = 137 - v. What is the tens digit of 6\/(-2)*l\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54120192 and 2912?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -29.4. Sort o, 1\/5, 4 in ascending order.\nAnswer: 1\/5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 63 - 28 = r, 2*y + 4 = -4*r. Let -92\/3*o + 40\/3 - 4\/3*o**3 + y*o**2 - 4\/3*o**4 = 0. What is o?\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 3*a - a)*(-309*a + 137*a + 72*a) - a**2 + a**2 + 2*a**2 + (-4 + a + 4)*(3 + 2*a - 3) as i + u*a + z*a**2 and give z.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9440 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 308140 + -308139.9439987. Let d = 0.086 + -0.03. Let q = p - d. What is q rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*x - 477 + 585 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -211*f**2 + 58 + 1 - 31 + 215*f**2 - 32*f = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 0 - 3 + 3 - 4*b. Let q(i) = 4*i - 2*i**2 + 0*i - 4*i. Determine q(u(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**3 - 172961*w + 345914*w - 172953*w.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-1)\/(-6))\/(6\/(-54))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 446033*c. Let v(h) = 8*h - 12. What is v(f(r))?\nAnswer: 16*r**2 + 3568264*r - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11475637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/(-8))\/(3183\/(-4244))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 70*h - 46, -27*h + 20*h = -j + 23 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, 4, 9\/7 in descending order.\nAnswer: 4, 9\/7, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**3 + 122*t**2 - 480*t - 138. What is i(-34)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-3\/2)*p)\/p*p*p*(p**(1\/7)*p)\/p*p)\/(p**0)**(-37))\/((p*p**(-2\/5))**(-1\/20))**43 assuming p is positive.\nAnswer: p**(2053\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/31 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 5. Suppose -55 - 17 = -4*o - f, 3*f = -3*o + 54. Suppose -2*z + o = 8. Calculate h(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjjxbjxhdhmx. Give prob of sequence xm.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 1. Let m(q) = -4*q**2 + 2*q + 3. Let b = -18 - -19. Let a = b + 0. Let u(t) = a*m(t) - 3*r(t). Find the second derivative of u(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-one quarters of a minute?\nAnswer: 1065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 876298.\nAnswer: 1752596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**5\/20 + v**4\/2 - 5*v**3\/3 - 4*v**2 + 2*v. Let f be a(-7). Let p = f - -9. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/sqrt(2)*4*-4)\/(-2*sqrt(80) + -1*(sqrt(5) + 1*sqrt(5))).\nAnswer: 8*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 33997*t - 34004*t = 151, 0 = -z - t - 17 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -594*u + 1459. Is s(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.147 and -334.996.\nAnswer: 1054.232412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 86809 + 466.8819.\nAnswer: 87275.8819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3986 - 2690 + 4649)*(0*u**4 + 2*u**4 - 2*u**5 + 3*u**5).\nAnswer: -2027*u**5 - 4054*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 4. Suppose 0*h = l*h - 33. What is the remainder when h is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-66)\/(-16))\/(-11) + 14049\/24. Suppose r + 4*r = n. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (6 - (4 - 0))*(7 - 2) and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*((-2)\/(-4) + 0). Suppose -n + 3 = p. Suppose -n*o + 6*o = 16. Put o, 1, -5 in ascending order.\nAnswer: -5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + 11000?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -15755.6014 to the nearest ten.\nAnswer: -15760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 969776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0911109 to 2 dps.\nAnswer: 1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5717 * 0.3917\nAnswer: 2239.3489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 470 + -3733\/8. Let w = -2783\/1192 + -6\/149. What is the common denominator of w and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {e: 2, o: 6, z: 3, k: 4, u: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 b when three letters picked without replacement from {r: 3, g: 1, z: 1, b: 1, y: 4, s: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.66000083 - -1.66. Round p to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 27 (b) 0.5 (c) 0.9 (d) -7.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -173872 at least as big as -173928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12214064 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-56)\/42)\/(2\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1765*v - 7. Let y(n) = n**2. Give b(y(m)).\nAnswer: -1765*m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3)\/o*o)**(-3\/34))**(-3\/2)\/((o*o**1)**21*o**(5\/3)\/(o\/(o\/o**(-1)))) assuming o is positive.\nAnswer: o**(-4547\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y\/((y*y*y\/y**3*y)\/y))*y)*y)**8)**(-2\/31))**(-3\/22) assuming y is positive.\nAnswer: y**(24\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*c = 688*c - 297*c + 1350 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1073, 8707, 29535, 70187, 137293, 237483, 377387?\n\"Answer: 1105*k**3 - 33*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v - 34. Let t(c) = c**2 - 7*c + 67. Calculate -2*t(s) - 5*w(s).\nAnswer: -2*s**2 - s + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 7\/157, 156, 3?\nAnswer: 7\/157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8043508?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97811239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*d - 1153, -6*p = -2*p + 5*d + 919. Let u = 614 + p. Calculate the remainder when u is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 22 = 65. Let z = 70 + -39. What is the remainder when z is divided by ((-10 + r)\/(3\/2))\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2. Let g be (-7)\/((-84)\/3112)*3. Let n(h) = g - 4*h - 778. Calculate p(n(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 263306741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60418 divided by 595.\nAnswer: -3554\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5726244.2 to the nearest 100000.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2244? (a) 7 (b) -1\/13 (c) 1\/2 (d) -4 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 10*j**2 - 596*j - 908. Give u(60).\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -192 and 0.1274381946.\nAnswer: -191.8725618054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*56*73\/(-14308).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*q + 2*g = -10, 3*g + 21 = 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9 - -239782233?\nAnswer: 239782239.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/18 + (6 - (-16094)\/234). Do 515\/7 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/25)\/(v**(21\/4)*v))\/(v**(-14))**(-31))**(-1\/12) assuming v is positive.\nAnswer: v**(44029\/1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1\/4, -37, -1, 0.16, 1203 in increasing order.\nAnswer: -37, -1, -1\/4, 0.16, 0.4, 1203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -11. Solve -2 + 8 = a*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -948*t - 4727. Give i(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2. Let b(u) = -2 + 2 - 4*u**2 + 7*u**2. Give b(i(w)).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 22*a - 2. Calculate r(-20).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 282*o**2 + 9*o - 8. Let a(u) = 1126*u**2 + 33*u - 33. Determine -3*a(h) + 11*r(h).\nAnswer: -276*h**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-11) - 5800\/(-1100).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q + 27. Let p be v(11). Let n = -17 - p. Let s(y) = 2*y. Let u be s(1). Solve n = 4*z - u - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 2 - 11*f**2 + 0 + 4 as s + z*f**2 + r*f and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 10:43 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -265 - -401. Suppose -3*x + 102 = 3*w, 3*w - 2*w - r = -4*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59946 is divided by 1898?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(7) + -1 - (-5 + (sqrt(7) - (sqrt(7) + 1)))**2)*6.\nAnswer: -222 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 323 + -315. What is the smallest value in -5, r, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/2*6\/9. Let w(u) = -u + 8. Let v be w(5). Sort h, v, 5 in increasing order.\nAnswer: h, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.536548 - -3.\nAnswer: -0.536548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**6\/120 + g**5\/20 + g**4\/8 + 2*g**3\/3 + 12*g**2. Give o(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 411 + -414. Let y be (-4)\/(-10) + (-114)\/10. Sort y, -5, v in decreasing order.\nAnswer: v, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 4328?\nAnswer: 116856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 37. Which is the nearest to p? (a) 1 (b) -1\/2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(19)*-2 + 5 - (sqrt(190)\/sqrt(40) - (sqrt(19)*-2 + -3)))**2.\nAnswer: 14*sqrt(19) + 947\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3027259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*sqrt(7)*-4*3.\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e5 - -5?\nAnswer: -e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*l + 157 - 1516 - 3165 = 2340 for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/4, -11, -3\/4, 1.7952?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 52*h + 1. Let z(n) = 52*n + 1. Let k(m) = -2*y(m) + 3*z(m). Let w(b) be the second derivative of -b**4\/6 + 13559*b. What is w(k(p))?\nAnswer: -5408*p**2 - 208*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/23040992 and 41\/6984?\nAnswer: 207368928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 3*w - 2*w + w. Let a(o) be the first derivative of -13*o**5\/60 + 7*o**2\/2 - 12. Let g(b) be the second derivative of a(b). What is g(v(n))?\nAnswer: -52*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Let j = 858 - 857. Sort d, j, -3 in descending order.\nAnswer: j, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + x - 1. Let o(w) = 3*w**2 - 5*w + 2. Let y = -4 - -3. Let h(r) = y*o(r) - 2*z(r). Calculate h(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60565539 smaller than -60565536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 266*j - 746*j - 2256*j + 12560 + 102352 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5208 divided by 1736.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*g**2*q*t - 68638*g**2 + 8132*g*q*t**3 + 2*g*t**3 wrt q?\nAnswer: -13*g**2*t + 8132*g*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -126 not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44.92 - 45.12. Let h = -1.4 - 0.6. Let c = 4.1 + -0.1. What is the nearest to -1 in h, c, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1012 + 10?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -7. Let d = -6 + l. Suppose 0 = -3*w + 3*a + 24, 3*w + 2*a + 4 = -2*a. Sort w, 2, d in increasing order.\nAnswer: 2, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 43?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 11790\/462 + (-9)\/21?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-1 + -4 + 5 - -2). Suppose c*w + 939 = -3*w. Let d = 1783 + w. Round d to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*s = 264105 - 1103859. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*p - 24 + 10 = 0, 2 = 2*p. Let b(r) = r**2 - r + 1. Determine b(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 = -2*y + 267. Calculate the least common multiple of y and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1691\/7 + 242. Let j = 0.31 + 58.69. Which is the closest to j? (a) 1 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkk when three letters picked without replacement from kffkf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98107, 3, -4 in decreasing order.\nAnswer: 3, -4, -98107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3806331 (base 11) in base 13?\nAnswer: -14a641c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -2*d - 3*w - 2*w, -3*w = 2*d - 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 3*x**2 + 30*x - 7. Give q(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2386\/38837 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -257059*p**2*z + p**2 + 40*p + 7*z - 285944 wrt z.\nAnswer: -257059*p**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4785323 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 2 - 0) + 3. Suppose -6 + 2 = -2*u. Suppose u*m = -2*m. Solve y = -m*z + z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5503 - -5508. Which is the fourth biggest value? (a) -2 (b) o (c) -3 (d) 1 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1572419930 to the nearest 1000000.\nAnswer: -1572000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1167*a**6 - 956*a**5 - a**3 + 109*a**2 + 6*a + 260 wrt a.\nAnswer: -140040*a**3 - 57360*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b53 - -3?\nAnswer: -1b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3347 - -516. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Solve 4*n = -w*s - 0*n - 8, -7 = 2*s + 3*n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 647?\nAnswer: 323.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*c - 148*c = -54. Solve -3*y - 1 = -c*l + 14, 2*y = -l + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29504567.1 rounded to the nearest 100000?\nAnswer: -29500000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -101.616 + 53.72. Round w to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -23. What is the third derivative of -67*d**4 - s*d**6 + 67*d**4 + d**2 wrt d?\nAnswer: -720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617191?\nAnswer: 617191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*q - 4*t + 5, 0 = 3*q + 4*t. Suppose m = 0, -78 - 45 = -3*k + 5*m. What is the remainder when k is divided by 17 - (-2)\/q*-4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, b: 1}. What is prob of sequence lbl?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 40 + -17 + 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1004 + -702. Let q = -664 + x. Let l = 342.9 + q. Round l to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*k**2*t*z + 505515*k**2*z + 51*k*t*z - k*t - 3089*t + z + 7 wrt k.\nAnswer: 14*t*z + 1011030*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1121123 (base 4) to base 16\nAnswer: 165b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81 - 80. Let c be 7\/(v\/(2 + -1)). Suppose 0 = 2*d + 2*i - 166, 4*d + 4*i + 214 = c*d. Does 29 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 55*z**2 + 3*z - 3. Let x be f(2). Let n = x - 107. Let d = n - 111. Solve 25 = -3*v + d*s, -v = -0*v + 2*s + 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(33)\/(sqrt(3)*-1))*1)**2.\nAnswer: -144*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -84.5 (b) 1981 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.2 (b) -2136 (c) 0.1 (d) -0.04 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + f - 3*f = 0, 2*x - 5*f - 21 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -66, 2, 1.\nAnswer: -66, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 44078293?\nAnswer: 1\/44078293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2090, 2101, 2114, 2129, 2146, 2165, 2186?\n\"Answer: l**2 + 8*l + 2081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.54 times -0.7?\nAnswer: 10.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - -9 - (-3)\/(-1). Suppose y = -c - 3*c + 16. What is the first derivative of 4*x**3 + 2*x**4 + 2*x**c - 4*x**3 + 6 wrt x?\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/60*(-1110)\/(-148)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 273.351 kilograms in micrograms?\nAnswer: 273351000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + 14)*(30\/135 - (-95)\/18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**3\/3 - 2*a**2 + 2. What is the smallest common multiple of (-3)\/6*-2 - 322\/(39 - 62) and x(-5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 2:57 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -5, 0.4, -3.35 in descending order.\nAnswer: 0.4, -1\/7, -3.35, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 4*j - j)*(3 + 3 - 3)*(0 + 1 - 2) + 11449 - 11449 - 109*j to o + s*j and give s.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -65*p**4\/12 + 269*p + 1. Let f(x) = -x. What is u(f(l))?\nAnswer: -65*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a factor of 36002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 3) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5834747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -2. Let s be i\/(-1) + -4 + 2. Suppose a + s*a - 81 = 0. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432 is divided by 143.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-6))\/(0 - -2). Let h be (-4)\/(-72)*(-15)\/(-6). Let c = h - 2\/9. Is c less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r**2 + 0*r + 3*r**2)*(-4 - 1 + 3)*(3 - 10 - 118).\nAnswer: 500*r**2 + 500*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/9 - 20048\/(-24).\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 divided by 36114?\nAnswer: 311\/36114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/((-2)\/(-4)). Let t = -13 + -24. Let i = 43 + t. Calculate the greatest common factor of i and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66698329 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7279, 29118, 65517, 116476?\nAnswer: 181995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91.08 - -91. Is w > 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*h + 77*h - 886 = 518 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 941254 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**9\/126 + 11*m**5\/60 - 26*m**2. Find the third derivative of q(h) wrt h.\nAnswer: -480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*m - 5. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/761 or 1?\nAnswer: -6\/761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 4. Let z be (-2)\/(1\/((-27)\/6)). Let v be f(z). Suppose 4*c - 30 = -v*l, 0*l + 18 = 3*l + 4*c. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2201889 divided by 1.\nAnswer: -2201889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -492 - -2461\/5. Which is the smallest value? (a) 12 (b) -5\/2 (c) v (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {u: 3, h: 2, x: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*y - 93*y = -66600. Sort 0, y, -4 in increasing order.\nAnswer: -4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppxpxxx. What is prob of picking 1 p and 2 x?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 4:21 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 540*z**2 - 1787*z - 183*z**2 + 3729*z wrt z?\nAnswer: 714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuctzfcl. What is prob of sequence fu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {u: 2, d: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*j - 54*j - 14, -2*y - 3*j = 25 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/9534 and -59\/462.\nAnswer: 104874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/235158 and -4\/16797.\nAnswer: 235158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 58, 236, 520, 904, 1382, 1948, 2596, 3320?\n\"Answer: -q**3 + 59*q**2 + 8*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6737 (base 12) to base 9.\nAnswer: 16587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139894 rounded to the nearest 1000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 775 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4 - 0. Let q be 0 + (-1 - (-6 - -2)). Let m(b) = 6*b + 2 + q - 4 + 2*b. What is m(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 28 - 113. Suppose -u - 27 = -5. Let y = 25 + u. What is the remainder when t is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2901, 5801, 8701?\n\"Answer: 2900*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**4 + 10*z**2 - 3*z**4 + z**6 - 2*z**6 wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i**3 + 29*i**3 - 20*i**3 - 5*i**3.\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 1506*v + 17933. Determine s(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 13. Let h(j) = 460*j - 3215. Let y be h(7). Let m(f) = -2*f - 25. Determine y*o(q) - 2*m(q).\nAnswer: -q - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 18645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2431634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137357 (base 8) to base 10.\nAnswer: 48879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.60127229 to 4 decimal places.\nAnswer: -0.6013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 7*l**2 + 18*l + 106. Let o be w(-6). Let p = 68 + -40. Suppose d - 4*j - p + 2 = 0, 2*j = 3*d - 98. Are d and o non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/((112\/8 - 4) + 876\/(-96))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3718.533 weeks?\nAnswer: 26029.731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h**2 + h**3 + 0 - 6*h**2 - 3 + 2*h**2 to the form m + n*h**3 + k*h + l*h**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*f**3 - 2*f - 236*f**3 - 253*f**3.\nAnswer: 26*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -291351*z**2 - z + 36066.\nAnswer: -582702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 8*v**2 - 10*v + 9. Let p be u(8). Let a = -48 - p. Suppose 85 = 5*z - 5*b, 0 = z + b - 0*b - a. What is the remainder when z is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2788)\/(-656) + -1 + -2 + 1?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 30*q**2 - 3*q. Let f be m(2). Suppose 6555 = 65*t - 42*t. Calculate the greatest common divisor of t and f.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3417*p**4 - 3417*p**4 - 333*p**5 + (-2*p + 6*p - 3*p)*(-p**4 + 2*p**4 - 2*p**4).\nAnswer: -334*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = -3 - 53 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mulmv. Give prob of picking 1 m and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (164\/6)\/(2\/(-6)). Let w(f) = f**2 - s + 83. Let u(m) = 2 - 2 + 4*m - 34*m. Determine u(w(k)).\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(10) - sqrt(10)*3))\/(sqrt(36)\/(sqrt(9)*3)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19434 + -18829. What is the greatest common divisor of 220 and q?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -6436.\nAnswer: 1\/1609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6) + 118 + -121 - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*q**3 - 175*q + 14*q**3 - 105*q**2 - 14*q**3 - 60.\nAnswer: 5*(q - 12)*(q + 1)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**5\/20 + 3*x**4\/4 + 7*x**3\/3 + x**2 + x. Let w be u(10). Calculate the greatest common factor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -36*u - 27. Calculate f(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + p**2 - 71 + 0*p + 142 - 2*p**3 - 72 to w*p**2 + k*p + j*p**3 + d and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**5\/20 + 7*z**4\/12 - z**3\/2 - 4*z**2 - 6*z. What is the remainder when v(-7) is divided by (12\/(-4) + 9)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -16*j**2 + 129*j - 5. Give o(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 357?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 190*c**2 + 28*c + 29. Calculate b(-1).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k*o*x + 5*k*o + 141*k*x - 619*k + o*x + 343918*x wrt k.\nAnswer: -o*x + 5*o + 141*x - 619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/(-12)*(-6)\/(-4). Suppose 6*d - 4*h = 2*d + 36, 0 = 3*h + 15. Suppose 5 = -g*u, d*b - 3*u + 5*u = -10. Sort b, 0.3, -1 in decreasing order.\nAnswer: 0.3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/8 - 5772\/(-5616). What is the second biggest value in 3, -5, i, -13\/55?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-339)\/(-452)*4\/3. What is the derivative of i - 3029*i**2 - z + 58 + 3045*i**2 wrt i?\nAnswer: 32*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 268*t + 1680.\nAnswer: -2*(t - 140)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9864.356 years?\nAnswer: 986.4356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s - 826. Let b(x) = -6*x**2. What is b(w(c))?\nAnswer: -54*c**2 - 29736*c - 4093656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/1)\/((-2)\/10). Suppose n - 201 = 5*m, p*n - n - 2*m - 714 = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3502375485 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*s**2 - 21 + 3*s**3 - 1491 - 34*s**2.\nAnswer: 3*s**3 + 89*s**2 - 1512","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19137214 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2791 is divided by 36.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/436?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9409*a - 5042*a - 1315041 = 0 for a.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, z: 1, m: 3}. Give prob of picking 1 z and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*t**4\/9 - 16124*t**3\/9 + 2501080*t**2\/9 - 384400*t\/9.\nAnswer: 2*t*(t - 310)**2*(13*t - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 56, 98, 140, 182?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1062 and 1016157.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26205 divided by 3.\nAnswer: 8735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus -4929970?\nAnswer: 4929970.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 + 814566*a\/7 - 814568\/7.\nAnswer: 2*(a - 1)*(a + 407284)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12045 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3213*o**2*s**3 + 1126*o**2 - 2*o*s**3 + 45 wrt s?\nAnswer: -9639*o**2*s**2 - 6*o*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6147 + 3071 + c**2 + 3076 - 2*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21 - -257?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 4, n: 2, h: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-5) - 4\/(60\/(-46629)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12552639 and 7988043.\nAnswer: 87868473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, n: 3, g: 5, a: 1}. Give prob of picking 2 s.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11231230122 (base 4) in base 12?\nAnswer: 6029b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1018, 5, 405, -2.\nAnswer: -1018, -2, 5, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/65 (b) 2 (c) -60 (d) -0.2 (e) -1 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + (-766 - -768) + (1 - (84 + 1)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 61\/2 of a gram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**4\/4 - 4*t. Let v(a) = 18 - 3*a - 8 - 10. Give g(v(w)).\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -13. Let a(z) = -z**3 - 4*z**2 + 78*z - 5. Let o be a(7). Solve 0 = 4*j - o*f - 16, w*j + 2*f - 5 = -3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94972 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 60*b + 5. Let w be y(0). Suppose -5*j + 2*p + 565 = 5*p, 141 = j - w*p. What is the highest common divisor of j and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3874 is divided by 968?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -520 + 527. Which is bigger: 2\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1283 + 69.9.\nAnswer: -1213.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + t = -21, -2*t = 2*c - 7 - 19. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16060000 rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237354197 divided by -7656587.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*f**2*r - 127*d*f*r**2 + 165*d*f - 8*f**2*r + 10*f**2 wrt r.\nAnswer: -2*d*f**2 - 254*d*f*r - 8*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19912147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441045 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: What is 4776 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -85*y**2 - 48*y**2 + 129*y**2. Let k(s) be the third derivative of 0*s**3 + 0 + 0*s - 1\/30*s**5 + 0*s**4 + 5*s**2. What is l(k(t))?\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3042*k = 3045*k + 52809, 2*a = -4*k + 26432. What are the prime factors of a?\nAnswer: 2, 3, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 4 + 3 - 4)*(-2*m + 2*m - m).\nAnswer: 2*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010111110001 + 10?\nAnswer: 111010111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfq when three letters picked without replacement from aefnqmna?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16062.807ms to minutes.\nAnswer: 0.26771345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -52*7\/28 + (480\/45 - -3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 + 65.62. Let b = -0.02 + v. Let n = b - -3.8. What is n rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/3192 + 263\/9576. Calculate the common denominator of 47\/90 and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n*n**(-3\/11))\/n)))\/n)\/(n\/((n\/n**(16\/5))\/n))*(n*n**(2\/7))**(-3\/14) assuming n is positive.\nAnswer: n**(-30983\/5390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 363*g + 3150. Determine j(-6).\nAnswer: 972","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -6 + (-1 - 2 - -1) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whp when three letters picked without replacement from dwwwddwwphwwwwwhppw.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 2*n - 25 = r, 3*r + n - 15 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 766\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 10 - (-243 - -257)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12*(-7)\/(-14) - 4. Find the third derivative of -53*i**4 + 309*i + 2 - 156*i - 153*i - 6*i**l wrt i.\nAnswer: -1272*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21232541 - 5?\nAnswer: -21232550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(98) + sqrt(200)*6.\nAnswer: 2 + 67*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 133?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 6.5. Let t = 0.15 + 0.15. What is the second smallest value in 3, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4\/7, -0.4, -2 in descending order.\nAnswer: 4\/7, -0.4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -31748 rounded to the nearest 100?\nAnswer: -31700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4368*i - 259048 = 6577*i + 274842 - 30420 for i.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2)*(2 - 2 - 2*p**2) + 1438 - 346 - 25*p**2 + 24*p**2.\nAnswer: 3*p**2 + 1092","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -6*-2*sqrt(1539))*-4)**2 + (2*sqrt(133)*-1 + sqrt(133))\/(1*sqrt(1008)).\nAnswer: 165887*sqrt(19)\/12 + 3546112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**9\/24192 - c**8\/6720 + c**6\/1440 - c**5\/960 - 5*c**3\/3 + 7. Let h(o) be the third derivative of b(o). Factor h(j).\nAnswer: j*(j - 1)**3*(j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.74 - 0.74. Put 2, -0.4, s, -5 in descending order.\nAnswer: 2, s, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -810*c + 808*c + 0*c**3 - 9*c**5 - 130 - 2*c**3 - 17*c**5 - 73*c**5 wrt c?\nAnswer: -1980*c**3 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48.74 + -47. Let d = b + 4.26. What is the smallest value in 2\/15, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-1)\/(22\/4 + -5). Let d be (15 - 14) + 1*r. Which is smaller: d or -5\/31?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-2)*(-48)\/(-12). Let n(t) = t**3 - 5*t**2 - 4*t - 5. Give n(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/4 - 4399*n**3\/4 - 4839999*n**2\/4 - 4835601*n\/4 = 0.\nAnswer: -2199, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10332.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*u - 156 = -6*u, 5*u = 3*p - 146. Let l be 69 + 1 + 35 + -45 - 20\/(-2). Calculate the highest common factor of p and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 17 = -2*y, -5*j + 4*y - 12 = 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32777*v**3 + 9770*v**2 wrt v?\nAnswer: -196662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 6 = 5*i + 19, 4*i + 20 = p. Let v = i + 2. Suppose -2*r - 24 = -3*w - w, w + 8 = -3*r. Does v = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8036952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/(-46))\/3 + 2 - 3.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 1. Let z = -111 - -129. Suppose s + z = -4*q + 1, -12 = 3*q. Let m(v) = -30. Let t(h) = s*m(h) + 30*r(h). Let p(l) = 2*l. Give t(p(o)).\nAnswer: 60*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, -2\/9, 1\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 560*l**2 + 101*l**2 - 154*l**2 to v + w*l + x*l**2 and give x.\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 - 125. Suppose 4*x - 30 = 5*c, 12 = -2*c - 0*c - 5*x. Let l = -6 - c. Solve 2*r + 0*r - 8 = 5*p, l = n*p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a - 40*a + 5 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/24, 9\/1379, 0.02, -2\/7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -67*m**5\/20 - 59*m**2\/2 - 4*m - 22. Differentiate p(a) wrt a.\nAnswer: -201*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 286 - 170. Let k = o - 115. Suppose 3*n - 2*n = 7. Sort -5, k, n in decreasing order.\nAnswer: n, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20021 + -124?\nAnswer: 14342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 - 3*p**2 - 6*p - 4. Let i(n) = -8*n**3 - 13*n**2 - 23*n - 18. Give 4*i(c) - 18*l(c).\nAnswer: 4*c**3 + 2*c**2 + 16*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, f: 2, b: 2, a: 1, m: 2, z: 1}. What is prob of picking 1 z and 2 b?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3433 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -319 - -218. Let x = r - -102. Solve 3*p + x = -11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**4 + 523*u**3 + 7*u**2 + 32.\nAnswer: -24*u + 3138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.026 + 0.074. What is the second biggest value in s, 3, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b + b + 0*b)*(-15*b - 10*b - 8*b) - 3*b + 2 - b**2 + 3*b to the form d + m*b**2 + y*b and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m**3 + 4*m**3 + 5 - 6*m**3)*(-5 + 5 - 3*m) in the form v*m + s*m**2 + w*m**4 + i + r*m**3 and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lslsqllsqsogllgl. Give prob of picking 2 l, 1 s, and 1 g.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6577 - 6553. Let o(u) = -7*u + 25. Let j(d) = 15*d - 50. Let m(v) = 6*j(v) + 13*o(v). Determine m(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 30. Let c be (-7)\/14*0\/m. Suppose c*l - 377 = -q - 2*l, -3*l + 380 = q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*7\/77)\/((-1)\/2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*l = 64*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 13 (c) -1 (d) 17 (e) 0 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -173*t**6\/60 - 323*t**3\/6 - 27*t**2 - 6. What is the first derivative of f(g) wrt g?\nAnswer: -1038*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/30)\/(-3 - (-95)\/25))\/(1221\/48026).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7488364, 29953503, 67395408, 119814085, 187209540?\nAnswer: 269581779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j**3 - 3*j**2 + 4*j. Let r(g) = g**3 - g**2 + g. Determine l(n) - 3*r(n).\nAnswer: 4*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 31*w**3 + 1118*w**2 + 69*w - 100. Let v be h(-36). Suppose -10 = -3*m + 2*q + 3*q, 3*m + 20 = -q. Sort m, v, 4, -1 in ascending order.\nAnswer: m, -1, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, 4665, -2 in increasing order.\nAnswer: -2, -0.4, 4, 4665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-5))\/(6\/(-4170)). Let b = c - 5840\/21. Suppose 2*j - 3 = l, 2*l - 13 - 9 = -3*j. Sort b, j, -5 in ascending order.\nAnswer: -5, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 23 = 12. Let b(w) = w**2 + 7*w - 17. Let f(h) = h**2 + 8*h - 17. Let s(d) = 6*b(d) - 5*f(d). Does 5 divide s(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*h - 9*h + 14*h to m + r*h and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -214 - -341. Suppose -g = -3*k + 461. Suppose l = 4*x + 4*l - k, l = -2*x + 100. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: -10846+1\nAnswer: -10845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -138*a - 5*a**3 + 46*a - 3*a**2 + 61*a in the form w*a**3 + j*a + f*a**2 + x and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, u: 2}. Give prob of sequence vu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(99) + (sqrt(99) - (4 + 1 + sqrt(99))) + -2 + -3*(sqrt(99) - 2*(1 + sqrt(99))))**2.\nAnswer: -120*sqrt(11) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -9 - (83 - 75).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (10 + 4 - 14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847)*1*-5*-4)**2.\nAnswer: 338800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.6 (b) 0.02608 (c) -0.04 (d) 2\/57 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.60473*0.4\nAnswer: -0.641892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(117)*-3*1)\/(sqrt(90)\/((sqrt(90) + sqrt(10))*6 - sqrt(10))).\nAnswer: 138*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 2\/673 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 7. Let s(g) = -g**2 + 2*g - 2. Let k be s(3). Let o(h) = h**2 + 3*h - 1. Let w be o(k). Solve i*l + 3*v - 24 = 0, 6*l - w = 2*l + v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 3*x + 506 + 511, 5*x + 749 = 3*r. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = 0, -5*x + 5 = -3*x - 3*q. Solve -5 - 15 = x*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 25863102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8123c (base 16) in base 9?\nAnswer: -885528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q = 10. Suppose q*i = -0*i + 2*t + 112, i + 3*t - 72 = 0. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 14, n: 1}. What is prob of picking 1 n and 1 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-1 - -2)\/1*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/350023370 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143813.\nAnswer: 143813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 13501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -2 (c) 1\/24 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 16*r**6\/225 - 17*r**5\/50 - 3*r**4\/2 - 53*r**3\/45 + r**2 + 5*r + 402. Let o(k) = 0. What is k?\nAnswer: -1, 3\/16, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*o**5 + 73*o**5 + 82*o**2 - 158*o**5)*(-1 - 14 - 2).\nAnswer: -51*o**5 - 1394*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1614.28 - -1582. Let s = l - 111.02. Let o = s - -131. Round o to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8935*t - 249875. Let m be n(28). Let o(q) = 2*q**2 + 3*q + 1. Let y be o(-3). Calculate the highest common factor of m and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187352 to the power of 1\/2, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.24, 5, 116\/1535?\nAnswer: 116\/1535","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -26 + (13 + -3 - 30 - -14) - 15\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.427 - 0.324. What is x rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1051*y + 787*y - 6336 = -200*y for y.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/5208 and -29\/11718.\nAnswer: 46872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 4:23 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 4. Suppose c*h = h. Suppose -5*z + 34 + 1 = h. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 14. Let q(g) = 0 - 10*g**2 + 0*g**3 + 6 - 2*g**3 + 9*g + h*g**3. List the prime factors of q(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142440022 - -1?\nAnswer: -142440021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/7625 - -221543\/1593625. Find the common denominator of 39\/304 and c.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*a + 2*r + 120, 10*a + 474*r + 120 = 476*r for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -5. Suppose -3*p - 3*l + 54 = 0, -4*l - 2 = -p - 9*l. Suppose 0 = b*o - 3*f - p - 82, 0 = 5*o - 4*f - 130. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 12:08 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (7 - 9 - -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.009, 3\/5, -0.1 in decreasing order.\nAnswer: 3\/5, 0.009, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46544 + 46539. Let i = 0.041 - 27.041. Sort 0.5, n, i in decreasing order.\nAnswer: 0.5, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 5:33 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 6 = 0, -2*p - 582*q = -578*q - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 14 = 4*s, -787*s + 5*r - 8 = -789*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/(-56)*2\/(-1)*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 - 60. Suppose 5*q + 5*j - 7*j - p = 0, 3*q - j - 14 = 0. Suppose 9*l - 115 = -2*v + 4*l, -5*l + 180 = q*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -502 divided by 344\nAnswer: -251\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 45 = -5*q. Suppose 0 = 11*c - q*c - 3*o - 7990, -11959 = -3*c - 2*o. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*w - 3. Suppose w*u - 6*u + 3 = 3*v, -5*u = 15. Solve 2*o + 0*o = v*s - 19, 5*o - s - 10 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713389790 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 133951\nAnswer: 133951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 1, d: 2}. Give prob of picking 2 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 1:45 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 - 6596*r\/3 + 15358.\nAnswer: 2*(r - 3291)*(r - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38.4 + -38. Suppose 5*a - 2*z - 25 = z, 4*a - 33 = 5*z. Let r = -10 - -7. What is the closest to -1\/6 in r, i, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -82.52017694695.\nAnswer: -80.52017694695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 225.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 + -61. Suppose -8*a + i = -13*a. Is a at most as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -73, -0.2, -7, 0.1, 2\/7, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 8*b**2 + 14*b + 14. Let m be p(-6). Suppose 22 = 3*i + 4*u, -m = -7*i + 2*i + 2*u. Solve 0 = 4*h - 20, 0 = -i*c + 5*h - 24 + 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxhx when four letters picked without replacement from {k: 1, z: 2, x: 4, h: 6}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 7. Let z be k\/(-1)*9\/(-12). Suppose z*a - 12 = 15. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.4025 + -0.5975. Which is the closest to 2\/3? (a) 0.5 (b) 1.4 (c) 0.8 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*(1*1*(-2 + sqrt(176)) + -3) + -1)**2*3.\nAnswer: -108720*sqrt(11) + 543603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 645 + 566. What are the prime factors of p?\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (14 - (-468)\/(-60)) + (-2)\/10 + 9138 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = 9. What is the units digit of 14*(-1)\/6*x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023932.\nAnswer: 2, 7, 13, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*f*w**2 + 517*f*w wrt w?\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157381 is divided by 1980.\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -34736260 rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6597 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 26*q**2 + 789*q - 69. Give m(-32).\nAnswer: 1307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, t: 3, p: 3, d: 7, b: 4}. Give prob of sequence ttp.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 5*m + 16 - 44*m**2 - 6*m**3 + 6*m**3 + 226*m**2 + 2*m**3 to v + k*m**3 + h*m**2 + q*m and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4\/9 + 675248*v**3\/9 + 56994307436*v**2\/9 - 12665626736*v + 6332850882 = 0. What is v?\nAnswer: -168813, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4988277446.\nAnswer: 2, 2494138723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 10:18 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 3*x + 845 - 845, 8*z = -6*x + 5*x - 2 - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32846201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 t when four letters picked without replacement from mmmmmmmmttmmmtimmmmm.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 7*r**2 + r - 9. Let c be k(7). What is the smallest common multiple of 16 and 5 + ((-2)\/2*-2)\/c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 699, 87 in descending order.\nAnswer: 699, 87, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(78) - sqrt(78)*-2*-2)\/sqrt(6)*4.\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12172672 to the power of 1\/2, to the nearest integer?\nAnswer: 3489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/(-8) - ((-969)\/119 + (-1 - 3)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, t: 7, q: 1, p: 7}. What is prob of sequence tpqt?\nAnswer: 7\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**6\/9 + 2*u**5\/75 - u**4\/2 + 14*u**3\/45 + 2*u**2\/15 + 1565. What is g in w(g) = 0?\nAnswer: -2, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 4*o - u + 10, -u + 16 = 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022 (base 5) in base 10?\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -887 (b) 0.1 (c) -327\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*o - 68 = -4*w, -84 = -4*w - 5*o. Suppose g = -3*t - 1 + w, t = g + 5. Suppose 4*y + 5*j - 85 = 288, -3*j - 9 = g. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69123*3.4.\nAnswer: -235018.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -2.26.\nAnswer: -0.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -9. Let b(q) = 6 + 1 - 7 + t*q**2. Let z(g) = -2*g**2. What is z(b(v))?\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 172703 in 0.04, -1\/5, -0.5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18321 is divided by 18107.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13336 + -13322. Solve -17 = 31*p + h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 9*m + 27. Let o be h(-3). Suppose 0 = -3*l - 0*l + 39. Suppose -8*i - 10 = -l*i. Solve o = -2*u - i*u - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, f: 6, n: 2, s: 1, u: 1, h: 2}. What is prob of sequence hh?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 30 = 2*y, 2*y + q = -1 + 6. Let u(a) = a**2 - 4*a + 3. What is the units digit of u(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, -2\/53, 18 in ascending order.\nAnswer: -2\/53, 18, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145965 divided by -111.\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*t - 55, -12 = -4*t - u + 103. Let l be (-232)\/t - (-1 + -2). Sort l, 3, 1.\nAnswer: l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((-2)\/(-6) - (-64)\/(-120)). Solve -35 - q*u**3 - 85*u + 70 + 5*u**4 - 75*u**2 - 42 - 23 = 0 for u.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**3\/12 - x**2\/4 - x\/4 + 5. Factor h(f).\nAnswer: -(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 18322128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.32947602 plus -0.3?\nAnswer: -4.62947602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(25 + 1071\/(-42)). Let k be -2 - (0 - (3 + -2)). Let s be (22 + (-2)\/k)*2. What is the greatest common factor of r and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1763 = 120*g + 1298 - 1695 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, s: 1, d: 1, p: 1, q: 2, v: 2}. Give prob of picking 1 s, 2 v, and 1 d.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 41*k - 68. Let s be i(-39). Let r(d) = 10*d**2 - 118*d**3 + 2*d - s + 117*d**3 - 13*d. Give r(9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43c06 (base 13) in base 9?\nAnswer: 206481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -1024eed3?\nAnswer: 1024eecd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and 1235.\nAnswer: 30875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -342?\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) + (10\/(-4))\/(-5). Let o = -0.2 - -0.7. Let w = 1 - o. What is the biggest value in w, -3\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccy when four letters picked without replacement from ycgggggcgggcgggg?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1729.125 milligrams in kilograms?\nAnswer: 0.001729125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54897244.\nAnswer: 2, 13724311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 18*s**2 + 2*s + 33. Calculate i(18).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-162)\/12*-2*(-3)\/(-3). Suppose -12 = -a*w + 24*w. Factor -3\/2*l**2 + 0*l**3 + 3\/4 + 3\/4*l**w + 0*l.\nAnswer: 3*(l - 1)**2*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8226c (base 14) to base 12\nAnswer: 131388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(-5\/3))\/f)\/f**(-2\/17)*(f\/((f*f*f**12\/f)\/f))\/f**(-7) assuming f is positive.\nAnswer: f**(-62\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2625 = -127*f + 2*f for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(6\/3*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r = 16*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 18 = -9. What is the third derivative of -2*f**3 + 7*f**b + f**2 - 5*f**2 - 2*f**3 wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 3) + (33 + -36 - (-18 - 7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24754.4 - 24754. What is the smallest value in 1\/9, -991, q?\nAnswer: -991","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 356907 and -0.9.\nAnswer: -321216.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(260)*2)\/sqrt(5) + -2 + -3))**2.\nAnswer: -360*sqrt(13) + 2097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9629 is divided by 1371?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m. Let v be c(0). Let a(z) = 2*z + 15. Let k be a(v). Suppose -k + 43 = d + g, 2*d + 5*g = 47. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11632.6 * 3.01\nAnswer: -35014.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*k + 6 = -23, -152 = -3*g - 4*k. Calculate the greatest common factor of g and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1546 divided by 23\nAnswer: -1546\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(121) + sqrt(121)*-2)*1*4)\/((5*1*sqrt(66))\/((sqrt(66)*1)\/sqrt(11))).\nAnswer: -24*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1110*86959.\nAnswer: 96524490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 151072.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 14907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - 64. Let l(n) = n**2 - 5*n. Let x(j) = -j**2 - j + 1. Let i(g) = 3*g + 20. Let a be i(-7). Let b(u) = a*l(u) + z*x(u). Determine b(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)*d**(-1\/3))**49\/((d*d\/(d**(2\/9)\/d))\/((d**(-1)*d)\/d)*d**(-5)*d**(4\/7)*d) assuming d is positive.\nAnswer: d**(-10312\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 6*s. Let c be 93\/(-9) - (-2)\/(-3). Let n(i) = 4*i**2 + 11*i. Calculate c*y(q) - 6*n(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285086556?\nAnswer: 2, 3, 7919071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -715365, -1430952, -2146541, -2862132?\n\"Answer: -j**2 - 715584*j + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 m when three letters picked without replacement from umusmmmmmjqfufqmjmfm?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 57117908 and 0.5?\nAnswer: 28558954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 376\/(-64) + 2\/(-16). Let c be h\/10 - (-10)\/(-25). Which is smaller: c or -1\/10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -618*a. Let y(f) be the second derivative of f**4\/12 - 44*f - 19. Calculate y(h(s)).\nAnswer: 381924*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327884?\nAnswer: 2, 81971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(190) + -1*(sqrt(190)*-6 + sqrt(190)))\/sqrt(10) + -5.\nAnswer: -2 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**4\/2 + 2*g**3 - g**2\/2 + 3*g + 10. Let x be f(3). Let j be -1 + -1 - (-2 - x\/1). Put -4, j, 2, 1 in decreasing order.\nAnswer: 2, 1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*g + 5*g. Let k be 4\/(-8) + 9\/g. Suppose 0 = -t - 0*t + 2*u + 20, -4*t - k*u + 44 = 0. What is the remainder when t is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/208*-2 - (21395\/5544 + -4)?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 - 5 - 6732\/68?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and (-248)\/(-14) + 8\/28.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**17)\/p**(-3\/13))\/((p\/(p\/(p**(-1\/6)\/p)))\/(p\/p**(-1\/12))) assuming p is positive.\nAnswer: p**(-703\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*a - 2. Let w = 6.9 + 0.1. Let f = -4 + w. What is the nearest to 0.1 in a, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**(3\/5)*c)))\/(c*c*c**(-2\/27))*(c\/((c*c**0)\/c))**(5\/8) assuming c is positive.\nAnswer: c**(323\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 43 = 4*w, 0 = -p + 5*w - 29 + 37 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7861 - 5?\nAnswer: -7866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*g - 6 = 0, -b = 2*b - 3*g - 9. Let q be (-5)\/2*(-39)\/65. Let q*h - 1\/2*h**b - 1 = 0. What is h?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13856 + -13837. Solve -19 = -2*g + 5*y, -2*g - 3*y - 24 = -b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 5*i**3\/3 + 25*i**2 + 45*i + 19. Factor n(j).\nAnswer: 5*(j + 1)*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**6\/24 - c**5\/60 + c**4\/24 - 118*c**2. Give u(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1074401.\nAnswer: 199, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1297963?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**29)**(-24)*j**(-25)\/j*j**(16\/3) assuming j is positive.\nAnswer: j**(-2150\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 13*v**2 + 26*v + 154. Calculate the remainder when i(-8) is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -126 (b) 348 (c) 3 (d) -1\/3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94067\/19 - -4952. Is 1 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 396404 and 7232.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 56*u**2 - 490*u + 54. Determine q(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 171396850*j + 1468844009496125.\nAnswer: 5*(j - 17139685)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/7 and 31\/10836?\nAnswer: 10836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13712933, 13712923, 13712907, 13712885, 13712857?\n\"Answer: -3*d**2 - d + 13712937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + v = 13, -2*g - v - 3*v + 16 = 0. Suppose 29 = 4*q - d, 2*d = -g*q + 6*d + 4. Let w = -4 + q. Calculate the lowest common multiple of w and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1453 is divided by 458?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*i - 20 = 0, 2*w - 4*i = -9*i + 8. Let l be 64\/12 - (-2)\/w. Solve -2*p = -3*z + z, -21 = 2*p + l*z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*-2*(-1)\/(-4). Suppose -3*u = -19 + 7. Suppose c - u*v = 442, -v - 863 = 2*c - m*c. Round c to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 119) + 380 + -237 + -140.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18593 = -418*w - 228*w + 13061 for w.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 2, -8764 in decreasing order.\nAnswer: 2, 1, -3, -8764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/20)\/((-94)\/(-940))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 9, -4\/9, -97.9, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 318 + -139. Are s and 178 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61224 is divided by 3214?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 33*t - 44. Let m be x(18). Let f(c) = c + 12. Let k be f(-7). Suppose -k*v + 0 + m = 0. Solve 16 = -v*z + 5*y, -z + 1 = 4*y - 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21672*f - 96 = -21688*f. Let q(b) be the second derivative of -3\/2*b**2 + 0*b**3 - f*b + b**4 + 0. What is the derivative of q(a) wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16678 = 10*t - 3018. Round t to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18855a1 - -4?\nAnswer: -1885598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.14\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483483?\nAnswer: 3, 7, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*(594\/12)\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - 16*x**2 - 823*x + 5872. Let t(i) = 17*i**2 + 3*i - 1. Calculate the remainder when t(2) is divided by a(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13715 divided by -1.\nAnswer: -13715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -36. Suppose 3*h - 3*q - 150 = 0, 0 = -3*h - l*q - 5*q + 150. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4*q*(q*q*q*q\/q**(-10)*q*q*q)\/q*q)**32 assuming q is positive.\nAnswer: q**704","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 661080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 7*u + 15. Put 0, u, -0.1 in descending order.\nAnswer: u, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**4\/13 + 1936*a**3\/13 - 322366*a**2\/13 - 2672368*a\/13 - 5407200\/13 = 0?\nAnswer: -4, 225, 751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**4\/12 - j**3 - 27*j**2 - 321*j. Give p(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89534 is divided by 89418.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*q**4 + 30*q**4 + 40*q**2 - 235*q**3 + 235*q**3 - 16 to y*q + i*q**2 + k*q**3 + r + w*q**4 and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68000, -136001, -204002, -272003, -340004?\nAnswer: -408005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -3, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = w - 18, 3*i = -4*w - 8 + 5. Let f(g) = g**3 - 4*g**2 + 8*g - 16. Let a be f(w). Which is bigger: 2\/243 or a?\nAnswer: 2\/243","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 18*d**2 - 18*d - 46. Let v be s(19). Let r be (-94)\/18 - (33\/v + 1). Put -3, r, 1, -77 in decreasing order.\nAnswer: 1, -3, r, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, u: 1, n: 5, e: 2, k: 4, l: 2}. Give prob of sequence ekhe.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -156 + 313\/2. Solve 7\/2*a + z + 7*a**2 + 4*a**3 = 0 for a.\nAnswer: -1, -1\/2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2586719 is divided by 57.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j - 3. Let h(t) = -10*t + 10. Suppose 4*a = 3*c + 7, -c + 11 - 10 = -3*a. Determine a*h(d) - 7*p(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*sqrt(1134)*-2 + sqrt(1134)))\/(2*(((sqrt(189)\/sqrt(3) - sqrt(63) - sqrt(63))*-1 - sqrt(63)) + sqrt(63))).\nAnswer: 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (8 + -1)\/(1 + (13 - 13))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3) + -53 + -37 + 86\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1445 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(476\/51))\/((-1)\/(-4))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + 0*r**2 + 6*r**2 + (0 - r + 0)*(-82*r + 9959 - 9959) to the form p + i*r**2 + z*r and give i.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3 - -3)\/(-4))\/(-3*1). Let h = -21 + 149\/7. Factor 4\/7*z**2 - 2\/7*z**3 - h*z + t.\nAnswer: -2*z*(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 18810 = 3592. List the prime factors of o.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8082 + 8083.8. Which is the closest to 1? (a) l (b) -3\/2 (c) 1\/4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*l + 2*l = 387, 5*a = 2*l + 383. Calculate the least common multiple of 49 and a.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.6 + 2.5. Let s = 3.3 + a. Put -5, s, -3\/2 in decreasing order.\nAnswer: s, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65435.7 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.12 - 5.12. Let k = 98 - 99. Let v = 176 - 530\/3. What is the nearest to v in p, k, -2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28 (b) -2\/11 (c) -2 (d) 619\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-10 - (4 - 12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 + 120321011?\nAnswer: 120320221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*k - 199710 = 93*k. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(700)*2)**2)*6 + -2.\nAnswer: 16816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.76311512047806 - -5.\nAnswer: 11.76311512047806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21350797 a multiple of 683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13087413 is divided by 4362470?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-70)*-10 - -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97613\/8 - -12202. Factor 3\/2*i + w*i**2 + 3\/2.\nAnswer: 3*(i + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/5)*p**5*p**(-1\/2)*p*p*p**(-3\/4) assuming p is positive.\nAnswer: p**(107\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2286 and 3556?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69329049 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*(sqrt(300) - (sqrt(300) + sqrt(300)*-1))**2 + 1 + 3*sqrt(300)).\nAnswer: -5996 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 + 1)*13\/(-39) - -3917. Suppose 8*k - p = 7054. Is 54 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (-68)\/(-12))\/(290\/(-2436))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15701 (base 8) to base 13\nAnswer: 3307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 360225403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 - 5*y**5 + 4*y**5 + (-1754*y**3 - 109*y**3 - 2675*y**3)*(y**2 - y + y) - y**5 - y**2 + y**2.\nAnswer: -4542*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 846604 - 312604. What is g rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 4*w - 20 = 0, 0 = -3*w + 4*w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 + 390 = -2*l. Let w = l + 364. Suppose -4 = c - 26. Calculate the greatest common divisor of w and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 11.01. Let t = r - 0.01. Which is the smallest value? (a) t (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 7102 (b) 2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*1)\/((-548)\/(-9316))*5\/((-80)\/(-12)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q - 17. Let t be k(-8). Let p = -28 + t. Let i(b) = 2*b + 5. Give i(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3585*r - 968*r = -740*r + 11439 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(76))**2*3.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*s - 166*s + 64*s)*(0*s**2 + 0*s**2 - s**2) - 2*s**3 - 2*s**3 + s**3 to z*s**2 + a*s + t + d*s**3 and give d.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129 + 120. What is the nearest to -1 in g, -5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/668105 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2)*(-4 - -4). Solve -4*f - n - n - 4 = 0, -4*f + 4*n + 20 = q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 8\/2 + -4. Let c(v) = v**2 + 2*v + 3. Give c(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2*(-9)\/54)\/((-2)\/(-18)). Let m be -3*q\/(-9) - -3. What is the greatest common factor of 16 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from remdrdbm. What is prob of picking 1 r and 2 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.269996 + -0.27. Round i to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 359000 and 31750.\nAnswer: 45593000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 5:07 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.83127mg in tonnes?\nAnswer: 0.00000002983127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -10*t**3 + 100*t**2 + t - 29. Give c(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -55*q**2 - 45*q. Let o(x) = -5*x**2 - 4*x. Determine -4*h(m) + 45*o(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49385.9*4.\nAnswer: -197543.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 653, 1846, 3579, 5852, 8665, 12018?\n\"Answer: 270*q**2 + 383*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 475 divided by 18543\nAnswer: 475\/18543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2213733527 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 0*i - 1\/360*i**6 + 0 + 0*i**5 + 159*i**2 + 0*i**3 + 1\/72*i**4. Factor t(n).\nAnswer: -n*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.34 times -0.1\nAnswer: -1.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2625\/23426 - -3\/901. Let z be ((-4)\/6)\/((-4)\/(-6)). Is z greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23787*j**2 - 11982*j**2 - 11829*j**2.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 180 divided by -30\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15686 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 v = 70 - 43. Let w be -1 - 1842\/v - (-8)\/36. What is the smallest common multiple of w\/(-9) - (-2 + 20\/12) and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -350, -699, -1048, -1397, -1746?\n\"Answer: -349*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 + 24*p + 27. Calculate the remainder when 286 is divided by w(4).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2399844 by 599961.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3084.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/319 and -99\/232.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -467 - -318. Let t = u + 163.6. Round t to 0 dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*s)*(-2 + 0 - 1)*(394 - s - 394).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 409761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -7 - (0 + 3) - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -499 * 0.114.\nAnswer: -56.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/4581)\/((-6)\/(-27)). Let l = z - -11761\/4581. Calculate the common denominator of -11\/24 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 = -3*k + 2*a + 2*a, 2*a - 510 = -4*k. Suppose 10*z - k = z. Let c(s) = -s**3 + 14*s**2 + 18*s + 4. List the prime factors of c(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-320)\/(-25) + -12 + 445\/(-25)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22710 - 22617. Solve -n*u + 80*u - 91 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 4*i + 88, a - 15655 + 31316 = -4*i + 15648 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + 106*q**4 - 62*q**2 + 62*q**2 - 1 to a*q**4 + b*q**2 + c*q**3 + z*q + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 i, and 1 x when three letters picked without replacement from {q: 2, x: 8, i: 8}?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.14 + -0.18. Round a to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oiebrrbvrbov. Give prob of picking 1 e, 2 v, and 1 b.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 74065 = -n, 4*n - 296208 = 19*y - 14*y. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.3, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 229853 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -5. Let z(a) = 7*a - 4. Let y be z(1). Let o = c + y. Solve -o*t + 25 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(2\/7))\/g)\/(g\/(g\/(g\/(g\/g**(1\/15))*g)))*(g*g*(g**0\/g)\/g)\/(g*g\/g**15*g))**(23\/4) assuming g is positive.\nAnswer: g**(12857\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.09 - -0.09. Let n = f - -1.00011. What is n rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*h**2*i**4*r - h**2*i*r + 30*i**4*r - 359*r wrt i.\nAnswer: -108*h**2*i**2*r + 360*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 530 + -530. Which is the smallest value? (a) -0.1 (b) -0.05 (c) r (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89\/86 - -128777\/124270. Are w and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.7 + 3.8. What is the closest to n in 0.5, 0.05, 3\/4, -0.07?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8223*a - 3082*a + 4*a.\nAnswer: -11301*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 242.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33794998 is divided by 2287?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4 + (-165)\/(-2). Let v = s - 20. What is the remainder when v is divided by (-1)\/(-3) + -3 + (-208)\/(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2180764391.\nAnswer: 13, 167751107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 69.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 464504 and 3968.\nAnswer: 7432064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*w - 6113 = 0, -19*w + 14*w + 3645 = 3*p. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*x + 10, -q + 7 + 4 = 4*x. Suppose 2*u = 5*z - 55, -x*z + 3 = -7. Let p = u - -31. Calculate the least common multiple of p and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 9*k**2 + 2*k + 22. Let b be o(9). Let l = b - 42. Let r(q) = -4*q**2 + q - 2. Determine r(l).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*i + 2*i - 4*i)*(-2 + 2 - i**2) + 76*i**3 - 1047 + 1047)*(-3*i - 5*i - 5*i).\nAnswer: -1014*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 116 + 494 = -20*y for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(672)\/sqrt(972))\/(sqrt(128) + (-4*sqrt(128) - sqrt(128)) + sqrt(128)).\nAnswer: -sqrt(7)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 11*h**2 + 13*h + 7. Let k be r(-12). Which is the biggest value? (a) -0.5 (b) k (c) -2\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4317 = -17*r + 4351 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 5 (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 465876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 82*r - 160.\nAnswer: -(r - 80)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18751.3704 rounded to the nearest 10?\nAnswer: 18750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y + 3. Let t be n(-2). Let p = t - -14. Let v(r) = -11*r + 47. Let m be v(4). Solve m*w - p*w = 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2709*x - 2596*x = -226 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/103411 and -39\/316.\nAnswer: 413644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -2. Let z be (5\/v)\/(2\/(-8)). Suppose -3*i + z*i + 3*d - 24 = 0, -2*i + d + 40 = 0. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2878\/3, 2, 1?\nAnswer: 2878\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (26 - (-8 + 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 1. Let x(j) be the third derivative of j**5\/30 - 43*j**3\/3 + 34*j**2. Let d(t) = -12*i(t) - x(t). What is the first derivative of d(v) wrt v?\nAnswer: -4*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/217850 and -68\/3.\nAnswer: 653550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 5 (b) 246 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(196) - -3*sqrt(196))\/sqrt(4) + sqrt(49))\/(sqrt(63) - sqrt(1008) - sqrt(63)).\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**7\/630 - d**6\/20 - 17*d**5\/45 - 5*d**4\/12 + 13*d**3\/2 + 1993*d**2. Solve u(c) = 0 for c.\nAnswer: -13, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5 + 9*r + 0 + 3. Let m be (10\/(-20))\/(5\/6 - 1). What is the units digit of v(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 13087.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 3:36 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hustsssrtts. What is prob of sequence ss?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-15))\/((-6)\/(-240)). Suppose -120 = -f*u + 14*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96799 and 188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -98. Let h = 14015\/854 + -1293\/61. What is the common denominator of -1*1*c\/(-12) and h?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15d3c (base 15) in base 16?\nAnswer: 11352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 3\/2, 0.3, -2\/9, 0.1 in increasing order.\nAnswer: -2\/9, -0.05, 0.1, 0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -185*h - 806*h**5 + 47 + 371*h + 127*h**5 - 128*h**5 - 198*h wrt h.\nAnswer: -16140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5375*f - 59127. What is a(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*q + c, -5*q - 2*c - 3*c + 15 = 0. Sort 5, -13, -0.3, q in increasing order.\nAnswer: -13, -0.3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeg when three letters picked without replacement from vegvvvvvvvevvve.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 176201\/210 + -4208\/5. What is the common denominator of n and 157\/60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 322981, 1290745, 2903677, 5161771, 8065021?\n\"Answer: -a**3 + 322590*a**2 + a + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 51. Suppose -11*w + 12*w - 2*l = s, 3*l = 3*w. Is -7\/19 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 45\/50 - 1\/2. Let p = 193 - 194. Which is the closest to p? (a) 3\/2 (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391931?\nAnswer: 337, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -48*t**2 - 2642*t - 10. Let z(x) = -38*x**2 - 2643*x - 8. What is -4*r(c) + 5*z(c)?\nAnswer: 2*c**2 - 2647*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -436006*k**3 + 14650*k**2 - k?\nAnswer: -2616036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 272, 274, 276, 278?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 - 800. Let q be p\/(-52) + 12\/(-78). What is the highest common factor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - t**2 + t + 5*t**3 + t**3 + 5*t**3 - 13*t**3 to q + o*t**3 + u*t + p*t**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x - 172 = 66. Calculate the remainder when 15 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364080374.\nAnswer: 2, 7, 167, 155723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2368 - 190. Calculate the greatest common factor of g and 693.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 1652.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = 123*i + 129*i - 7488 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -387.51424 to one dp.\nAnswer: -387.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/11 + 8232*r**2\/11 - 1496*r.\nAnswer: -2*r*(r - 4114)*(r - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + q - 6*q**2 + q**2 + 2*q**2 - 22*q**2 + 0*q**2 + q**2 - q**2 + 2 - 2 + (0 + 2*q**2 + 0)*(-5 + 0 + 3).\nAnswer: -29*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 minus 117095.7?\nAnswer: -117097.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 48.958. Let y = x - 1.042. Let m = 1 + 3. Sort m, 1, y in descending order.\nAnswer: m, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z - 5. Let w(x) = 18*x + 14 - 6 - 6 - 10 - 4. Let o(t) = 2*t**2 + 37*t - 31. Let r be o(-19). Determine r*f(g) + 5*w(g).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/3)\/(10\/45). Let b(u) be the second derivative of 0*u**y + 0 + 7*u + 1\/6*u**4 + 0*u**2. Factor b(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2*p - 3 + 2)*(-3082*p**2 - 83*p**4 + 3082*p**2).\nAnswer: 166*p**5 + 83*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/8 - (-1 + 2). Which is the second biggest value? (a) k (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**4 + 251*f**3 + 11*f + 243*f**3 + 97 + 248*f**3 + 3*f**2 - 743*f**3 in the form t + d*f**4 + o*f**2 + x*f + h*f**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5078\/11, 7, -0.1 in increasing order.\nAnswer: -0.1, 7, 5078\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-325)\/20 - (-1 - (1 + 2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000930789272 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from {w: 2, g: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -69*c**3 + c**2 + 1. Let n(r) = 104*r**3 - r**2 - r - 1. Let k(j) = 7*d(j) + 5*n(j). List the prime factors of k(2).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, -6, 1, 8?\n\"Answer: 7*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -241 or -2.1?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -20. Suppose -h = -o - 0. Let d(y) = -3 + y**o + 15*y + 2 - y**3 - 15*y. What is d(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 1200030?\nAnswer: -1200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 66 - 515*r**3 + 510*r**3 - 2*r + 0*r as p + u*r + x*r**2 + z*r**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/6)\/(2\/284). Let t = x - -167. Determine i, given that 2\/3 - t*i**2 + 2\/3*i = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)\/t**(-5\/4))\/((t\/(t\/(t*t\/((t**6\/t)\/t*t*t))))\/(t*t**(-5)))*((t**2*t*t*t)\/t**0)**50 assuming t is positive.\nAnswer: t**(981\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 0*s**2 + 2 + 3*s - 1\/42*s**4 - 1\/21*s**3. Let g(q) be the first derivative of m(q). Find y such that g(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 650\/65 + -2 + -8. Solve v = j - t + 4, -2*t = -3*j - 6*t - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**2 + 7*k**2 - 27*k**2 to u*k + p + t*k**2 and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/22 and 75\/150568?\nAnswer: 150568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 415114 - -83186. Round s to the nearest 10000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 753 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -621*s**2. Let q(d) = 7*d**2 - 7. Give q(u(y)).\nAnswer: 2699487*y**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6817 + 6956.09. Let n = j + -2.09. Let d = -148.8 + n. Round d to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -11*m**6\/75 - m**5\/50 + 22*m**4\/15 + 4*m**3\/15 + 21*m. Suppose n(h) = 0. What is h?\nAnswer: -2, -1\/11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.6 - -0.6. Let l = z + 3. Let d = 0.1 - -0.1. Sort l, -0.1, d.\nAnswer: l, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 3*o + 92, 7*o - 63 - 13 = 4*g - 24 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 130.869437 - -0.024563. Let a = -131 + d. Let q = 0.07 + a. Round q to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*b = -s + 18, 2*b - 8 = 0. Let m(v) = -3*v + 80. Let j be m(23). Let i = -8 + j. What is the third biggest value in s, 9, i, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17132134 to the power of 1\/3, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 89 in 1\/3, -0.05, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 23. Let s = 0.533737 + -13.534387. Let t = s + w. What is t rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 5:43 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5064554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2113459 divided by -15\nAnswer: 2113459\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 6*k**2 - k - 8. Give l(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9664*m + 9639*m = 28925. Which is bigger: m or -1156?\nAnswer: -1156","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26 - (0\/1)\/(-5). Suppose -p = -4*j + 80, -4*p = -j - j + f. Suppose 5*v + b - 30 = 11, -3*b = -3*v + j. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -52*j + 3. Let n be y(-3). Let x = n - 132. What is the greatest common divisor of x and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -12*g + 1. What is u(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v = 3*u + 45, -4*v = 5*u - 15. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 914 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 3*a**2 - a. Let m(t) = -6*t**3 + 22*t**2 - 8*t. Let u(v) = -6*m(v) + 44*p(v). What is the second derivative of u(s) wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c = 137461 + 86189. Let k = -4146 + c. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/15680 and 53\/2940.\nAnswer: 47040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 23*m**2. Let d(h) be the third derivative of h**5\/20 - 19*h**2. Calculate d(z(b)).\nAnswer: 1587*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14003421 + -201?\nAnswer: -14004122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (63307\/580)\/(-37)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38387 - 24106. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1443 (base 6) to base 8\nAnswer: -603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6*n - 2*n = -60, 6 = -2*n. Let v be 88\/w + 2\/(-6). Let j = -1 - -1. Which is the nearest to -2\/3? (a) -0.5 (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5158846, -10317685, -15476522, -20635357, -25794190, -30953021?\nAnswer: -36111850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 14 + 572*m - 16 + 1 + 10. Let s be t(1). Let q be (-4)\/2 + s\/(-7). Are -86 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 873*a - 216*a + 3911 - 11566 - 23881 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 8*u**2 + 7*u + 29. Let v be n(-8). Let z = 52 + v. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11.5? (a) -9 (b) 256\/37 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131.15nm to kilometers.\nAnswer: 0.00000000013115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2*r + 352, -w + 3036*r = 3034*r - 80. Suppose -3*y + 8*y - 240 = 0. What is the highest common factor of w and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 287.905 + 562.393. Let o = u + -851. Let a = o - -0.7. Round a to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1582, 1586, 1592, 1600, 1610?\n\"Answer: n**2 + n + 1580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/7 (b) -8 (c) -24 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiepwswrrpiper. Give prob of sequence ir.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Let o be (-6 - -1)*-2*1. Let z(h) = 7*h**2 + h - 9. Let u(l) = -l**2 + l + 1. Let w(r) = -6*u(r) - z(r). Let k be w(-7). Solve -k*j - o = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96949556?\nAnswer: 2, 11, 383, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((12\/5)\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 19*v + 60. Calculate h(-7).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -651049 + 651056.00002. Let m = 7 - w. What is m rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 29*s. Let v(d) = 15*d. What is r(v(j))?\nAnswer: -225*j**2 + 435*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 - 507*y**3 - 1602*y**2 + 9288*y.\nAnswer: 3*y*(y - 172)*(y - 3)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1170 + -1178. Let y(v) = 2*v**3 + 9*v**2 + 27*v + 13. Let h(d) = d**3 + 5*d**2 + 13*d + 7. Let l(j) = -9*h(j) + 4*y(j). What is l(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20006 - -20045. Solve 5*o - 4 = m, 3*m = 4*o + f - 40 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 43*p**5\/20 - 10*p**4\/3 + 13*p + 2. What is the third derivative of d(x) wrt x?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2211\/8 + 276. What is the nearest to -0.2 in -1\/3, 0.5, m?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*h - 0. Let s = 7.12056 - 0.12056. What is the nearest to h in 4, s, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from {m: 2, b: 2, q: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 (base 10) in base 7?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 446 and 138706?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 315895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 880 + -876. Solve 0 = -3*b + h*i - 2*i - 11, 5*b = -i - 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 105*v + 9*v + 1 = 1. Factor v - 15\/4*z**3 - 3\/4*z**4 + 0*z - 9\/4*z**2 + 3\/4*z**5.\nAnswer: 3*z**2*(z - 3)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*-3)**2 + 2.\nAnswer: 4853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6497384*j**4 + 5272928?\nAnswer: 25989536*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 - -1) + (-3 - -3). Let l = 6 - j. Let v be -4*l*1\/4. Solve -v*q - 28 = -2*f, 4*q + 40 = 5*f - q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7013, -28613, -64617, -115019, -179813?\n\"Answer: o**3 - 7208*o**2 + 17*o + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 5, 2, 1, -1533, -4 in ascending order.\nAnswer: -1533, -5, -4, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, 4.3, 110, 7.4, 3\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 202579 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: Let t(b) = b**3 + 6*b**2 + 3*b - 6. Suppose 1 + 5 = -2*o. Let x be (0 + o)*15\/9. Let d be t(x). Solve h = -d*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k + 5*k**2 + 13589*k**3 + 13596*k**3 - k - 1 - 27184*k**3. Determine m(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 7 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73188259 to the power of 1\/2, to the nearest integer?\nAnswer: 8555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -27, 17, -4, 4 in decreasing order.\nAnswer: 17, 4, -3, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660*c - 1483 + 271 = -761*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 41 - 107 + 31 + 286*a**2.\nAnswer: 286*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 603.\nAnswer: 1\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 7*c + 30 = 0. Solve c*q = j - 30, 0*q + 2*q = -3*j + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.9 - -24.1. Let m = -28 + p. Let l = -103\/184 - -10\/23. Which is the second smallest value? (a) 1\/3 (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 890*s = 226*s - 4664 + 16616 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 3, u: 1, i: 5, a: 1, p: 3}. Give prob of sequence afc.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**3 + 5*t**2 - 2*t + 4. Let p(f) = -2*f**3 + 3*f**2 - f + 2. What is -11*p(l) + 6*y(l)?\nAnswer: -2*l**3 - 3*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence petp when four letters picked without replacement from pkppccpept.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**29)**18)**(-5\/3))**15 assuming l is positive.\nAnswer: l**(-13050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a**2 - a + 2. Let o be x(-3). Suppose 4*w + 111 = -n, -4*w + 14 = 5*n + 137. Let l = w - o. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-55)*(-10)\/(-21)*3.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*u**2 + 151*u - 298*u + 147*u + 6*u**3 as p*u + l*u**3 + r + t*u**2 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 420*a**3 - 44*a**2 + 44*a. Let r(i) = -28*i**3 + 3*i**2 - 3*i. Calculate 6*h(p) + 88*r(p).\nAnswer: 56*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 24*k**2 - 23*k.\nAnswer: -k*(k - 23)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/(11\/(-110)) + -1. Find the second derivative of -1137*f**4 + 24*f + 1125*f**b - 87*f wrt f.\nAnswer: -144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 18*c + 3. Suppose -5*q - 15 = -5*n, 0 = -2*n + 5*q - 1 + 22. Let j(d) = 54*d + 8. Let f(m) = n*j(m) + 7*k(m). Is f(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 358489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.48 + 69057105.\nAnswer: 69057099.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98 + (-31624)\/295 - ((-76)\/10 - (-6)\/(-15)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -367 - -368. Which is smaller: 1\/862 or u?\nAnswer: 1\/862","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. What is the remainder when (-50)\/(-1 - k\/(-6)) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661975137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/30 - (65 + -63 + ((-222)\/(-9) - -4))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 6*d**2 + 2. Let p = -11 + 39. Let j be -6 - -1 - 18\/(-45)*15. Suppose 0 = 4*y - r + p, -y - 19 = -3*r - j. Give h(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 2:32 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-910)\/(-18200))\/((-1)\/85).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 4 + 2*h**3 + 9*h**2 + 5 - 2*h**4 - 2*h in the form s*h**2 + y + u*h + v*h**4 + m*h**3 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 917*a + 6395 = 11637 + 25019 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -81*u + 2272. Is 15 a factor of x(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*p**5 - 6*p**4 - p**5 + p**3 - 3*p**5 + 2*p**3.\nAnswer: 3*p**3*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 13*c = 3*j + 3, -1 = 4*c + j. Let -18\/13*x + 2\/13*x**3 + c + 16\/13*x**2 = 0. Calculate x.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + 6*m**2 + 18323849*m - 18323850*m + 3 + (-3 + 3 + 2)*(m**2 + 0*m**2 + 0*m**2).\nAnswer: 7*m**2 - m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265 = 10*d + 3*d - 70 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 5:15 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155*q**2*v**2 + 6*q**2*v + 9*q**2 - q*v**2 - q*v wrt v?\nAnswer: -310*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 (base 10) in base 7?\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 17*j + 3. Let z(v) = 2*v + 1. Let n(f) = b(f) - 3*z(f). Let a(y) = -4*y. What is n(a(i))?\nAnswer: -44*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 16.19677kg?\nAnswer: 0.01619677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 518\/(-105)*6*(-220)\/8 and 9.\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 48906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**5\/20 - f**4\/4 - f**3\/6 - 7*f**2\/2 - 16*f. Let q(v) = 39*v + 668. Let r be q(-17). What is z(r)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 9 = 3. Let l be x\/(-4)*-3*1\/27. Which is the third biggest value? (a) 6 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80949690 and 5.\nAnswer: 80949690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**4 - p**4 + 2*p**4 - 2*p**4 + p wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 226097 and 110716?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 30.62. Let n = m - 0.02. Sort n, 0.5, 0.4 in ascending order.\nAnswer: n, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601881676 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -57236*y**2 + 2*y - 2. Let d be b(2). Let n = d - -335942. Round n to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1161 + 1161 - 120*r**2 + (16 - 4*r - 16)*(-2*r - 1 + 1) to the form q + v*r**2 + y*r and give v.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -79.\nAnswer: -5\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3987, -8080, -12169, -16254, -20335?\nAnswer: -24412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4207 + -0.5793. What is the second biggest value in 10\/9, y, -58?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + -3*sqrt(15))*3 - sqrt(15) - sqrt(15))\/(sqrt(243) + (sqrt(243)*2 - sqrt(243))).\nAnswer: -4*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45583921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312480 by -2.\nAnswer: 156240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 63 = 3*p, -2*p = -2*c - 2*c + 76. Let m(f) = 8*f**3 - 4*f**2 - f + 10. Let d be m(3). Calculate the highest common divisor of c and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/(sqrt(5)*-6) + sqrt(8))\/(sqrt(324)*-5))**2.\nAnswer: 1\/1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 92009983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4 - 10*y**3 - 29*y**2 - 32*y - 12 = 0. Calculate y.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2074, -6 in ascending order.\nAnswer: -6, -4, 2074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i - 5*u + 2, 0 = 5*i - 3*u - 21. Suppose 1 = 2*s - 3*h, 0 = 4*s - 3*h - i - 2. Let j be s\/3*(-3)\/(-6). Put 2, 4\/5, j in increasing order.\nAnswer: j, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 40. Suppose -p*d + 371 = 5*z, 0*d = 4*z - d - 289. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1528612 divided by 1906\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 12*a + 12. Let b(t) = 4*t + 4. Let q(i) = -17*b(i) + 6*r(i). What is the least common multiple of q(1) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -95 - 5*s**3 - 29*s + 8*s**3 - s**3 + 0*s**3 in the form g*s + i + z*s**2 + n*s**3 and give i.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 12:24 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/42945 and -9\/32116?\nAnswer: 197031660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6840*o**3 - o**2 + 9701*o?\nAnswer: 41040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -1. Let f = 301 - 299. Let h = -8.3 - -7.4. Which is the nearest to h? (a) f (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*t + 3*p + 21, 5*t + 2*p - 11 = 0. Let d(z) = -z**3 + 3*z**2 + 2*z + 4. What is the units digit of d(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**4\/12 + 3*z**3\/2 - 9*z**2\/2 - z. Suppose 4*n - 8*n + 40 = 0. What is the lowest common multiple of n and l(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.18 + -3.82. Suppose -t = -4 + 1. Suppose -15 = 2*l + 3*l - 4*a, t*l = -a - 9. Put n, 1, l in decreasing order.\nAnswer: 1, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -899 + 2696\/3. Let i be (-6)\/8 - (-1 + 0). What is the fourth smallest value in -4\/3, j, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(13) + -2 + -4.\nAnswer: -5 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4) + 1785\/1890.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15556, -62218, -139998, -248902, -388936, -560106, -762418?\nAnswer: -995878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n + 2. Let c be z(5). Let y = c - 77\/2. Find the common denominator of -3\/16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*x - 16477, -7*s - 15 = -4*s. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from {a: 2, o: 2, b: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -3 (b) 5 (c) -1\/4 (d) -615\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11423.\nAnswer: 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2 + (-6)\/(-4) - 2. Let g(b) = -3*b**3 + b. What is g(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 8. Suppose 0 = -5*o - u + 1111, 2*u - 344 = -r*o + 94. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207473 is divided by 453.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15519 is divided by 7097.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1386257066 to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 53\/4 (b) -1 (c) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9685.577 nanometers in kilometers?\nAnswer: 0.000000009685577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (26*3\/6)\/(1\/(16\/16))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 5*v = -15, v + 11 - 12 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 111711*m + 23327010.\nAnswer: 3*(m - 37027)*(m - 210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-66)\/(-13893) + 0 + 0. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 27. Let v be ((-3)\/u)\/((-7)\/(-14)). Put 4, -3, 2, v in descending order.\nAnswer: 4, v, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-30) - 1\/5. Suppose -3*y - 4*k = -y, 4*y + 2*k - 6 = g. Does 35 divide (396\/55)\/(y\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12201.6 minus -86.595843?\nAnswer: 12288.195843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -279 - -315. Calculate the lowest common multiple of h and 6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2965015 is divided by 79?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/12, 6.8, -3.9782?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(35\/(-2)) - 6\/(-21)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b7 + -74303?\nAnswer: -745ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a week?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 135 = -15. Suppose 5*s - d = -2*d + o, 8 = 4*s - 5*d. Solve s = 2*h + 2*f, 4*h + f - 13 - 3 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*y = -7*y - 36, 5*y + 1131 = -2*s + 1135 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.5 + -11. What is the biggest value in t, -2\/19, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48 - 9*s**2 - 7*s**2 - 6*s**2 + 2*s + 16*s - 5*s**2 + 3*s**3.\nAnswer: 3*(s - 8)*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3309*t - 110. List the prime factors of v(-5).\nAnswer: 5, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514026632 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**4\/4 - t**3\/3 - t**2 - t - 52. Determine x(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -30, -86, -182, -330, -542, -830, -1206?\nAnswer: -1682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*u + 1145 = 40*u - 790 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76.29 + 76. Let d = q - 2.96. Let c = d + 1.98. What is c rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1643 - 1642) + (8 - (2 + -1 + -3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -156.54, 1\/5, 0.065, 1, -4 in ascending order.\nAnswer: -156.54, -4, 0.065, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4 + 34. Let i be -51*(-1 + (-15)\/(-9)). Let r(x) = -x - 1. Let n(f) = 6*f + 6. What is i*r(l) + t*n(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6 - 42 = 0. Solve -s = -7*w + w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -14. Let d = -37 - -12. Let b be (k\/d)\/((-4)\/(-10)). Solve 11 = -b*s + 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 153*r**2 - 1128*r - 4619. What is j(145)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(6\/7)*y**(-6)*(y*y\/(y\/(y*y\/(((y\/y**(-1\/2))\/y)\/y)))*y)**(2\/49) assuming y is positive.\nAnswer: y**(-243\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f**3 - f + 1. Let o be j(1). Suppose -2*z + 5*p = o, -2*p - 4 = -2*z - 0. Suppose -z*h = -h - 65. Are 13 and h equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 i when three letters picked without replacement from viicc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 5 + 12)*(128*i - 13*i - 26*i) + 47*i - 11*i - i in the form y*i + j and give y.\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 5*c**2 - 14.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001108093677 rounded to 5 dps?\nAnswer: 0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1814 + 151 + 695 = 121*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*r - 29*r - 99 = 22*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 13. Suppose -d*a + 21 = 1. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 829769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52771*d**4 + 6*d**2 + 4*d - 700 wrt d?\nAnswer: 1266504*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 - 0 - (-186)\/(-18))\/((-2)\/18). Let w(x) = x**3 - x + 1. Let s(q) = -2*q**3 + q - 7. Give r*w(y) + s(y).\nAnswer: y**3 - 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-60)*4)\/((1302\/19404)\/31)?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 1) + ((-40 - -98) + -51 - (-7 + 2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 6*s**2 - s + 6. Let j = 17 + -11. Let h be q(j). Let d be (-7)\/8 - (-2)\/4. Which is the third smallest value? (a) h (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 923*p + 581*p - 938*p + 2075*p in the form a*p + c and give a.\nAnswer: 2641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - f - 1. Let p be y(-2). Let x = -0.36 - 0.04. Let t be (-14)\/14 - (-2)\/4. Which is the closest to 1? (a) p (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 1289 = 1274 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**3\/6 + 7*y**2\/2 + 2*y. Let s = 1 + 6. Let r(w) = 4*w + 21. Let c(x) = s*z(x) - 2*r(x). Give c(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1986 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (-90 + (67 - 30))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 27385 + 27389 - 54776 - v. Let j(p) = -6*p - 18. Let k(q) = 19*q + 55. Let b(x) = 8*j(x) + 3*k(x). Give -4*b(h) - 42*m(h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15b + 1?\nAnswer: -15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/2 of a millennium?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 186 + -923. Let y = b - -725. Sort -20, -0.2, y in ascending order.\nAnswer: -20, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4252862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-12))\/((-26)\/(-4))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11992 is divided by 68?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 5. Let c be u(-5). Let n(d) = -d - 5*d**2 - 1 + 0 - d**3 + c*d**2. What is the remainder when 11 is divided by n(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) + (3 - 164\/72). Find k, given that 0 + m*k**2 + 0*k = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + v**3 + v + 2*v**2 - 1 - 2. Suppose 0 = -3*s - 14 + 5. Let u be o(s). Let g(k) = -k**2 + 2*k + 1. Give g(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572 = -6*h + 568. Calculate the highest common divisor of h and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**4\/5 + 42*l**3\/5 - 188*l**2\/5 + 24*l + 112\/5 = 0?\nAnswer: -14, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (sqrt(88) - -5*sqrt(88)*5)\/(sqrt(8) + sqrt(8)*-4*-1) + -2)**2.\nAnswer: -208*sqrt(11) + 7836\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(((o\/(o**1*o))\/o)\/o))**(-28)*o**(4\/5)*(((o**(-8)\/o*o)\/o)\/o)\/o assuming o is positive.\nAnswer: o**(-611\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, d: 2, t: 14, s: 1}. What is prob of picking 4 t?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38948?\nAnswer: 2, 7, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 14 - 6)*(8*t**2 - 3*t**3 - 8*t**3 + 12*t**3).\nAnswer: -51*t**3 - 408*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 5)*(k + 4*k - k)*(87*k - 5 - 46*k - 40*k).\nAnswer: 16*k**2 - 80*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60894 by -17.\nAnswer: -3582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -20321670 to the nearest ten thousand.\nAnswer: -20320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 13) to base 6\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (55*n**2 + 20 - 30*n**2 + 10)*(2 + 3 - 7)*(-2 + 4 - 4) as p + j*n**2 + q*n and give p.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -156 + 91. Let p = u - -143. What is the highest common factor of p and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -178*f**3*i**2 - 8*f**3*i - 12*f**3 + f**2*i + 310*i**4 - 96*i wrt i?\nAnswer: -356*f**3 + 3720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 25\/6, -0.1, 1, 0, -20\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = u + 3*o - 24, 2*u + 3*o - 30 = 0. Suppose q + 2*s = -4 - 1, 5*s = 2*q - 35. What is the lowest common multiple of q and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 265*u + 2079. What is the least common multiple of 54 and o(8)?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 86, 197, 306, 413, 518, 621, 722?\n\"Answer: -d**2 + 114*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -122*j**2 - j - 9. Let k(o) = 2*o**2 - o - 5. Determine -2*a(s) + 4*k(s).\nAnswer: 252*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3*w = -49, -876 + 450 = -4*h + 12*w - 574 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {w: 2, e: 3, a: 4, n: 4, q: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515 = -8*b + 869. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277a (base 13) to base 9.\nAnswer: 7708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 - 1523*x + 31896. Calculate t(22).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/357 in -1, -9, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4422*p + 1 + 0 + 6.\nAnswer: 4422*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 21*f + 130. Let r be c(26). Put 84, -5, r in increasing order.\nAnswer: -5, r, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 5*x**3 + 6*x**3 + (2*x - 2*x - x**2)*(x + 0*x - 2*x) + 3*x**3 + 12*x**2 - 27*x**2 + 11*x**2.\nAnswer: 12*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 10. Suppose 6 + 2 = 4*k. Calculate the remainder when m is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 35 = -3*k. List the prime factors of k\/(-8)*(8 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n + 45. Let a be s(-6). Factor 1\/3*y**a + y + 1\/3 + y**2.\nAnswer: (y + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/3 + 20\/15. Suppose -v*s + 90 = 30. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2 - 30606008*m + 117090965712008 = 0.\nAnswer: 7651502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*(3 + (1*sqrt(900))\/(sqrt(147)*3))*-5.\nAnswer: -90 - 100*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-6 - -22) + -4 - (-7 + 6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - -1*-4*sqrt(110))\/(sqrt(10)*1*-5 + sqrt(10)).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -2\/9, 0.3, -1019\/3, 63?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 5 - 5 + 2*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.769485 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5281.21 * -32\nAnswer: 168998.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.16 greater than or equal to -8\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/3 + 292*r**3\/9 + 1216*r**2\/3 + 256*r = 0. What is r?\nAnswer: -24, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 761.3376 and 0.2.\nAnswer: 152.26752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17 + (4\/2 - 1). Let g be o\/4 + 3\/(-6). Suppose -11 = 3*u - 71. Solve k - 11 = 2*h, u = k - g*h - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -802*u**4 + 87*u**2 + 4 wrt u.\nAnswer: -19248*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 3280.\nAnswer: 16400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-119)\/14)\/((-4)\/(-3)) and -97\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37\/5 + -143\/20. Let q be 1 + (-21)\/(-12) + -2. What is the nearest to h in 1, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 0 + 12*t**2 + 203*t**3 + 143*t**3 - 343*t**3.\nAnswer: 3*t**3 + 12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/5 of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -84886.3601 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25002433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c - c - 2*c to the form o*c + w and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3911 is divided by 286?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7967 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 863*v - 2*g = 867*v + g + 109, -3*v = -2*g - 84 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 150324 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 100. Let x(w) = 20. Let y(k) = -2*h(k) + 11*x(k). Let l(u) = 101*u - 41*u - 2*u**2 - 60*u. Give l(y(v)).\nAnswer: -8*v**2 + 160*v - 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}