diff --git "a/data/dm_maths/full_data_1/11213_11255.jsonl" "b/data/dm_maths/full_data_1/11213_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11213_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 10*d - 487401 = -3*l, 0 = -7*l + 2*l + 3*d + 812335. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -42. Let g(z) be the first derivative of 2\/3*z**3 + 3 + 0*z**2 + u*z. What is the first derivative of g(h) wrt h?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 214*y. Let r(a) = a - 7407. Determine z(r(n)).\nAnswer: 214*n - 1585098","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1208, -1218, -1228, -1238, -1248, -1258?\nAnswer: -1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqo when three letters picked without replacement from qzzoeqooozoo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 1.2, -0.5, -0.002 in increasing order.\nAnswer: -0.5, -0.002, 1, 1.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a decade?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.3 - 6. Let f = -3.3 + h. Let g be 69\/(-12) - (-17 - -11). Which is the nearest to 0.1? (a) f (b) g (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(-1\/2)\/z*z)))\/z)**(15\/7) assuming z is positive.\nAnswer: z**(-45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1165*d**3 + 4247*d**3 - 1841*d**3 - 1237*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) + -1*sqrt(56) - sqrt(56))*6 - ((sqrt(504) + sqrt(56))*4 + sqrt(56)))\/((-3*sqrt(72)*-2 - sqrt(72))\/sqrt(9)*2).\nAnswer: -23*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3857.9978533 + -3858. Round n to four decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/(-21))\/((-4)\/(-6)). Let n = 26.6 - 29. Let p = -2.9 - n. Which is the closest to s? (a) p (b) 1\/6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**18\/z)\/z)\/z**(-2\/21))\/((z\/(z**(-1\/10)\/z))\/z)**(30\/7) assuming z is positive.\nAnswer: z**(239\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 - 67*k**3 + 251*k**2 - 180*k.\nAnswer: -k*(k - 1)*(k + 20)*(4*k - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 14*g**2 + 364 + 376 - 12*g**2 - 740. Let i(u) = 83*u**2 + 3*u + 3. Let h(t) = -1161*t**2 - 43*t - 43. Let s(p) = 3*h(p) + 43*i(p). Determine r(s(q)).\nAnswer: 14792*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 3*n - 7, 5*r + 0*r - 5*n - 15 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-28)*(-1 + -7 - (-306 + -115)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(9\/42)*(-16389)\/(-3642)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 89*t**3 - t**2.\nAnswer: -89*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2, 2, 5, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 18, 105, 278, 567, 1002, 1613, 2430?\nAnswer: 3483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 350 and 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -3*w**4\/4 + 2*w**3\/3 + w**2 + 3*w + 4. Is c(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 5 + 5 - -2) + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4830591776 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/(-988) - ((-435)\/(-285))\/(-29).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 31*g**2 - 145 - 149 + 292 + g**3. Calculate t(-31).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15980, 15646, 15302, 14942, 14560, 14150, 13706?\n\"Answer: -x**3 + x**2 - 330*x + 16310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*q - q. Suppose -q*m = -25 - 3. Let l(p) = p**3 + 10*p**2 + 7*p - 13. Calculate the remainder when m is divided by l(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, h: 10, n: 3, z: 2, w: 3}. What is prob of sequence vhww?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 5184*p**2 + 2213343*p - 22654830.\nAnswer: 3*(p - 10)*(p + 869)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -293420, -293430, -293440, -293450?\n\"Answer: -10*l - 293410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 42674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 + 6*l**3 - 3*l**3 - l**3 + 8*l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*l - 27. Suppose -5*b = -4*b. Suppose 0 = 2*o - b*w - w - 39, 0 = -w + 5. Calculate the smallest common multiple of o and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, v: 3, f: 4, j: 2, g: 1, o: 3}. Give prob of sequence vdfd.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 257 + -13. Let r = 247 - q. Is r smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 6 = -54. Let f be (798\/k)\/(23\/115). Suppose f - 1934 = -5*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39747\/35 + 5676\/5. Let y be 15\/2*(-8)\/(-66). Which is the closest to y? (a) -3\/4 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.1398ml to litres.\nAnswer: 0.0761398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8. Let m be (-162)\/(-21) - (0 + 14\/(-49)). Let p(w) = w**2 - 1. Let l = -1 - 0. Determine l*x(d) + m*p(d).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 8) in base 12?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5374776 to the nearest integer?\nAnswer: 2318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**3 + 20*t**2 + 6*t + 64. What is z(-7)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 214?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115943 is divided by 8907?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkw when three letters picked without replacement from {k: 1, g: 1, t: 2, l: 1, w: 5}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 457, 1\/4, -4\/7, -2\/65?\nAnswer: 457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/6)\/((-43)\/53355432*-26)?\nAnswer: 2, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqsaqaaq. What is prob of picking 2 q?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 30*k**2 - 348*k + 20. What is g(9)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 16. Let v be (-55)\/33 + n\/(-6). Let x be v\/(-22) + 212\/44. Solve -10 = 3*l + x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/4 of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - c, -3*c - c = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-825)\/(-750)*11\/((-363)\/(-4))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 971*p = 440*p - 425*p + 956 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11915 greater than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 814 and 498982?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d + 3. Let y(s) be the third derivative of 13\/3*s**3 + 2*s**2 + 0*s + 3\/4*s**4 + 64. Calculate -52*k(t) + 6*y(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7461254213 - -88.6.\nAnswer: -7461254124.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1154e (base 15) to base 6\nAnswer: 1103315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 107*c**4\/12 + 14*c**2. Let n be b(1). Let w = n - 83. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447 + 447 - 5*d + 13*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89.7 + -481.3. Let r = 578.028 + h. Let l = -7 + r. What is l rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 2e2e?\nAnswer: 2e33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144 + 10. Let l = r - 153.9999871. What is l rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-2)\/(-3))\/2)\/3. Let j(a) = -a**3 - 17*a**2 + 18*a - 7. Let b be j(-18). Let i(k) = k**3 + 5*k**2 - 12*k + 14. Let o be i(b). Is q > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 774 and 927.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638295135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3131 * 2820.\nAnswer: 8829420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r. Let y(g) = 9*g - 457. Let i(n) = 4*n - 229. Let c(f) = 14*i(f) - 6*y(f). What is c(d(v))?\nAnswer: 2*v - 464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9774 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 3*j + 3. Let o be f(3). Suppose x - o*s = 10, -4*x + 3*s - 2 = -6*x. What is the units digit of (13\/x)\/((-2)\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -431 + 81. Suppose 0*z + 5*z + 50 = 0. Let c be (-4)\/10 + (-144)\/z. What is the highest common factor of w and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33486 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*a - 3*h, -15 - 19 = -2*a - h. Let d = 18 + 10. Suppose -d - a = -2*y. Solve 5*u + 2 = y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -305, -293, -267, -221, -149?\n\"Answer: a**3 + a**2 + 2*a - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/20)\/(((-128)\/10)\/(-8))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from qvqjjqjjjffjqqp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/sqrt(128))\/(sqrt(2) + (sqrt(40)\/sqrt(2))\/sqrt(10)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*m - 810 = -312 - 414. Solve 3*u + 1 = m*f, 283 - 279 = -5*u + 3*f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -46. Let p(y) = y**3 + 22*y**2 - 7*y + 34. Let u(c) = c**3 + 22*c**2 - 5*c + 33. Let r(w) = -3*p(w) + 4*u(w). What is the units digit of r(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 - 156. What is the tens digit of 3\/((r\/(-40))\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 10:21 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70.08118012 + 0.17161012. Let x = -69.9 - m. What is x rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 109? (a) 3 (b) 1 (c) 3.7119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/(-2))\/(-7))\/(1\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1651 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 5, -13, -1 in decreasing order.\nAnswer: 5, -1, -13, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 51 = -18*z, -131 = -t + 3*z - 132 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + c = -49, 0 = -44*c + 41*c - 135 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 19*n**2 - 175*n + 3679. Is i(21) a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 5*g**2 + 5*g - 3. Suppose 0 = 6*r - r - 15. Let b be p(r). Let v(z) = 2*z + 8. Let f be v(b). Which is smaller: -3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 5*r = 169. Suppose 0*z + 3*q - 21 = 3*z, 5*q + 9 = z. Which is smaller: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -24. Let c be l\/2 + (-2 - 2\/(-4)). Let d(f) = 2*f**3 - f - 1. Calculate d(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**4 + 30*p**3 + 40*p**2 - 30*p - 35 = 0 for p.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7278961 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 9:25 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/560 (b) -5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46.8 + 47. Put 2, 7, 3\/2, t in decreasing order.\nAnswer: 7, 2, 3\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -30537.\nAnswer: -11\/30537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 35*r**3 - 2*r + 1. Let m(d) = d - 16. Let f be m(9). Let x = 19 + f. Calculate the remainder when z(1) is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 763850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-170)*10)\/(21\/(-14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 4:45 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t**2 + 6*t + 1. Let c(b) = -b**2 + b. Let y(i) = 11*c(i) - 2*s(i). Let x be y(4). Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -142*q - 8950. Let f be m(-63). Suppose 0 = 4*r + 3*t - 2, 0 = 5*r - r - 4*t + 12. Put r, 0, f, 20 in descending order.\nAnswer: 20, 0, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4132, 8264, 12394, 16522, 20648, 24772, 28894?\n\"Answer: -j**2 + 4135*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 706\/3113767 or 0?\nAnswer: 706\/3113767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*v + 56 + 64 - 120 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -28700717 divided by 5\nAnswer: -28700717\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149992491.\nAnswer: 3, 11, 53, 191, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*m + 15 = 6*q, -18 = 3*q - 3*m. Let g = 6 + q. Solve -3*c = -6, 0*c - 2*c - g = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 7*m**6\/30 - 3*m**2 + 7*m. Find the first derivative of l(d) wrt d.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 2:42 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -8 - (0 - 2 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 - u**2)*(-1 - 4 + 4)*(17*u**2 + 34*u**2 - 29*u**2) to z + m*u**2 + i*u**3 + y*u**4 + k*u and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 1 = 4*k, 3*k + 2*k - 17 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r + 35. Suppose -3*l - 255 = 3*c, 8*l + c + 405 = 3*l. Let k = l - -87. What are the prime factors of s(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a. Let o(c) = -c + 8788. Calculate o(s(t)).\nAnswer: 5*t + 8788","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -433051?\nAnswer: 433041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 282*y - 4 = 284*y, 28 = 2*j - 4*y. Suppose 2*i + 2*k = -0*k + 12, -i - 2 = -k. Solve -8 = o + i*n + n, -j*o = n + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.993 + 0.793. Let c = 8 - 3. Let m = -11 + c. Sort 5, h, m, -4 in descending order.\nAnswer: 5, h, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2375*m**4*y**2 + 2*m**3*y**2 - 2*m**2*y + 12*m**2 - 72*m*y**2 + 4*y**2 wrt m.\nAnswer: 57000*m*y**2 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*s = 76, 5*w - s - 13 = 4*w. Let i = w - 12. Suppose 0 = -2*m - 0 + i. Which is bigger: 3 or m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2*sqrt(1664) + sqrt(1664))\/(sqrt(6)\/sqrt(300)) + 3)**2.\nAnswer: 1440*sqrt(13) + 748809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1321 + -11543?\nAnswer: -13304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (16 + 2)) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -28*p**2 + p. Let i(g) = 2*g**2. Determine x(i(u)).\nAnswer: -112*u**4 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/433477 and 73\/315256.\nAnswer: 3467816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k. Suppose -736 = 2*o + 4*n + 350, -4*o + 4*n - 2160 = 0. Let x = -545 - o. Let i(d) = 5*d + 1. Determine x*s(j) - 3*i(j).\nAnswer: -3*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1357609 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*i - 8*i - 5*i + (-2*i + 3*i - 2*i)*(2 - 4 + 0) + 0*i + 3*i - i to the form q*i + v and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -a - n - 11, -n + 13 = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 - x**2 + 6*x**2)*(2*x**2 - 3*x**2 - 2*x**2)*(5*x + 3*x + 11*x - 2*x + x - x + (2 + 2*x - 2)*(-3 + 3 - 1)).\nAnswer: -90*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1048473 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*g + 27 = 27. Let k(l) = l**2 - l + 4. Calculate k(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 10:59 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2226378 is divided by 383.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 4*u = -2, -d + 151*u - 156*u = -2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3638 is divided by 280.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - (-5 + (-5 - -10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/7 - 34*r**3 + 1380*r**2\/7 - 2728*r\/7 + 1808\/7 = 0. What is r?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/42)\/(4\/(-18))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 4 + (7 - (8 + 2)) + 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -84415, -84428, -84465, -84538, -84659, -84840?\n\"Answer: -2*k**3 + k - 84414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.2 (b) 5 (c) 1\/4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8292 and 105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2*c - 5*c + (-3*c - 4*c + 3*c)*(0 + 4 - 3))*(-2*c**3 - c**3 - 253*c**4 + 254*c**4 - 4*c**2).\nAnswer: -5*c**5 + 15*c**4 + 20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/2 (b) 5 (c) -42 (d) 7 (e) -2\/9 (f) 809\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -3733\/770, -1 in ascending order.\nAnswer: -3733\/770, -1, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799 - 9358 - 5741 = 2310*o - 1595*o for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2. Let o(y) be the third derivative of -7*y**5\/60 + 18*y**2. What is o(m(d))?\nAnswer: -28*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-9)\/5) - 14\/42.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2*y + 2 = 4, 0 = r + 3*y + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15996 - -15996. Let q(b) be the first derivative of 0*b + r*b**4 + 2 - 1\/27*b**6 - 2\/45*b**5 + 0*b**3 + 0*b**2. Factor q(x).\nAnswer: -2*x**4*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3069*p + 26 + 2193*p - 25 in the form u + l*p and give l.\nAnswer: 5262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5475 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10816 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 62*p - 26. Calculate y(2).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - q - 25 = 0. Let y = 15 - q. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -12. Suppose -f*z + 15 = x, 3 = -z + 4. Suppose -2*c - x = -5*j - 63, -2*j = 5*c - 55. 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 the units digit of 144947320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3\/4 (b) 0.4 (c) 5\/14 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*i = -q + 120, -2*i - 260 = -5*q. Let t = 60 - q. Let x = -3 - -5. Solve t = 5*w, -v + 2*w + x = 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 183\/4*a**4 - 9\/4*a**5 - 1423\/4*a**3 + 1156 - 2142*a + 5193\/4*a**2 = 0.\nAnswer: 1, 4, 17\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n + 23. Let l(z) = z**3 + 28*z**2 + 74*z + 580. Let r be l(-26). Let y(o) = 14*o + 69. Give r*i(w) - 3*y(w).\nAnswer: -2*w - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -43 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 6:24 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 62*l**2 + 114*l + 3829. What is the ten thousands digit of u(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**3 - 134*d - 5*d**3 + 104*d - 2*d**4 - 2*d**2 to the form y*d**2 + b*d**4 + s*d + j*d**3 + m and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -54600904 and 2.\nAnswer: -54600902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147027\/19 + 7738. What is the nearest to -8 in x, 3, 4, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39243727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 1)*(5 - 8)*1. Differentiate 2*r**3 + 166 + 2*r**2 + 2*r**3 - 574*r - m*r**3 + 574*r wrt r.\nAnswer: 3*r**2 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3391, -6800, -10223, -13666, -17135, -20636, -24175?\n\"Answer: -t**3 - t**2 - 3399*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*d - 1, n = 5*d - 5 - 3. What is the remainder when 1534\/(-177)*(2 + -12 + -2) is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wddemddddcwdw. Give prob of sequence dww.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 7 in descending order.\nAnswer: 7, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401533 is divided by 5371?\nAnswer: 4079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuujuuujjuuuuuujujuu. Give prob of picking 1 u and 3 j.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 213510 (base 9) in base 6?\nAnswer: 2421100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 10 = 58. Let i = 2942 + -2937. Let h(v) = -v**3 - 7*v**2 - 6*v + 3. Let r be h(-6). Solve -r - j = -i*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -341*l**2 - 31563*l + 13957. What is t(-93)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2477044 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 486916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -843*s**2. Let a(n) be the second derivative of n**4\/12 - 6*n - 4. Calculate m(a(q)).\nAnswer: -843*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 360 = -4*t. What is the highest common divisor of t and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -1. Let m be c + (0 - 0) - -4. Suppose -183 = -m*u - 72. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -882*q = -11433 + 51123 for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 12. Suppose s - 13 = -2*s + d, -2*s + 4*d = -n. Solve s*j = 3*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -622861 * 233\nAnswer: -145126613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*d - 255*d - 1 + 2 + 392*d.\nAnswer: -106*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 h when three letters picked without replacement from {c: 1, v: 1, h: 18}?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 8 = 2*p, 0 = 3*a - 8*a - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 2:04 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10*n. Let f(x) = x**2 - x - 1. Let v(k) be the first derivative of -2*k**3 + 5*k**2\/2 + 5*k - 14. Let o(c) = 5*f(c) + v(c). Give g(o(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/3 + 33\/(-4) and (-23)\/(-10) + 24\/120.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + 2*a**2 - 2*a**3 + a**4 - 2*a**4 - 2 in the form d*a**4 + t*a**2 + g*a**3 + x*a + l and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3954, -149, 0.6.\nAnswer: -3954, -149, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - j**2 + 8*j + 7 - 14 + (2 - 2 - 3*j)*(1 - 1 + 2*j) as i*j + h*j**2 + s and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w + 6. Let c be g(4). Let t(m) be the second derivative of -8*m**3 - 5*m**2\/2 + 2*m. List the prime factors of t(c).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 844.1591 litres to millilitres.\nAnswer: 844159.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17430 = 154*g + 35*g + 51*g - 4710 for g.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*w**4 + 0 + 2\/3*w**3 + 4\/3*w**2 + 0*w.\nAnswer: -2*w**2*(w - 2)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uru when three letters picked without replacement from uruuuuuu?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cczoxmxq. What is prob of sequence mqom?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.5645224 micrograms?\nAnswer: 0.0000000000005645224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4.2 - -243.75\nAnswer: 239.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 1:34 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11015, -10759, -10505, -10253?\nAnswer: -10003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - l**2 - 3*l + (-5*l + 0*l - 3*l)*(-2*l + 2*l - l) + (2 - 2 - l)*(0 + l + 0).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 11. Suppose 3*s - f = -5*q + 25, -5*s = -3*q - 16. Put q, 4, -5 in ascending order.\nAnswer: -5, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 73 - 10?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (16 - ((-21)\/(-28)*-8 + 7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 + 88329634*u - 3901062121286978.\nAnswer: -(u - 88329634)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 1\/2, 1\/123?\nAnswer: 1\/123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 4*d - 36. Let v be y(9). Suppose -v*t = -t - 24. Suppose 0 - 4\/3*w - 2\/3*w**t - 2*w**2 = 0. What is w?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 4*x + 2)*(2*x - 5*x + x) to w + d*x + f*x**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2472 and -113\/45732.\nAnswer: 91464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109436 (base 15) to base 8.\nAnswer: 3010255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 6)*(75 + 66 + 18)*(20*w - 5*w**2 - 20*w).\nAnswer: -1590*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 36 - 11 - 14 + m + 1 to j*m + w and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25969768 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: What is the millions digit of 2445272788?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -19, 133, 285?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-747*f - 2102 + 2102)*(23*f - 33*f - 29*f) in the form t*f + c + k*f**2 and give k.\nAnswer: 29133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -203222.061 + 203305. Let c = 0.061 + r. Let b = -84.52 + c. Round b to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -14*f - 1. Let k(u) = 2*u**2 - 103. What is d(k(t))?\nAnswer: -28*t**2 + 1441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -30. Suppose 5*t = -2*x - 5 + o, 2*x - 8 = -4*t. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2 - 6. Let i(n) = 13*n**2. Determine l(i(f)).\nAnswer: 507*f**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 5, n: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14207 + -2?\nAnswer: 14205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x. Let h(q) be the second derivative of -3*q + 0 - 1\/6*q**4 + 0*q**3 + 0*q**2. Determine h(i(c)).\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-35)\/(-10))\/((-1)\/2). Let l be 16\/w - -1 - -1. Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 535, 9, -93, 1, -66 in descending order.\nAnswer: 535, 9, 5, 1, -66, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 20 = -c, -4*g + 7*g = c + 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 626\/5 - 4231\/30. Let h = -97\/6 - o. Let n = 1\/9 - 14\/45. Sort -1, h, 3, n in increasing order.\nAnswer: -1, h, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85574557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-15 - -12) + 2) + 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 25 in descending order.\nAnswer: 25, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 943 + -933. Let p(b) = -19*b + 174. Determine p(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 837*w**2 + 5712*w.\nAnswer: 3*w*(w - 272)*(w - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**4 + 826*t**3 - 865*t**3 + 0*t**4 + (2*t**2 - 2*t**2 - t**2)*(-2*t**2 + 0*t**2 - t**2) - 3*t**4 - 2*t**4 - t**2 + 4*t**4.\nAnswer: -2*t**4 - 39*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -75 - 261. Let x = c - -377. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h*k*o**2 + 257*h*o*t - 40*k*o**2*t + 3*k + 5*o*t wrt h.\nAnswer: 4*k*o**2 + 257*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and -0.0386.\nAnswer: -12.0386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2659.6 - 6767608583?\nAnswer: -6767611242.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*((sqrt(272) + sqrt(272) + 0)**2*6 - (3 + sqrt(272) + -1)) - (-2*(2 + sqrt(272) - sqrt(272)) - ((sqrt(272) - (3 + sqrt(272))) + -5)**2)).\nAnswer: -24*sqrt(17) + 39223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.106*4385427.\nAnswer: -464855.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.5 + -3. Let z = 90 + -85. What is the nearest to 0 in 1\/3, w, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36 - -221?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1700269, -1700270, -1700271, -1700272, -1700273, -1700274?\nAnswer: -1700275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w**2 - 1704*w + 1703. What is g(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*v**3 - 1)*(-4*v**2 + 3*v**2 - 6*v**2) + 286*v + v**5 - 286*v + (0*v - 3*v + 7*v)*(v**4 + 2*v**4 - v**4).\nAnswer: 23*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 638, 4535, 14956, 35159, 68402?\n\"Answer: 543*d**3 + 4*d**2 + 84*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/g**(-11))\/g)\/g**(-11))**(-3\/4) assuming g is positive.\nAnswer: g**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2 - 5*u. Let g = -6 - -3. Let w(x) = 2*x**2 - 3*x. Let r(m) = g*j(m) + 5*w(m). Let y(i) = -3*i**2. Calculate y(r(z)).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -878, -3496, -7850, -13934, -21742?\n\"Answer: z**3 - 874*z**2 - 3*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.0633\nAnswer: -0.01266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6580 and 315.\nAnswer: 59220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 65 = -3*o, o - 4*z + 41 = 6. Let q = o - -28. What is the greatest common factor of 99 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = -6*r. Let p(m) = 8*m - 4*m - 5 + 0. Let c be p(r). Solve -13 = -c*z - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*w + 145 = 0, 101 = 3*x - 2*w - 2*w. Let h = x - 106\/3. Which is bigger: -1\/4 or h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 2*x + 1. Let c be v(2). Let s be (-1)\/(-1)*(-13 + (10 - -3)). Suppose -c*n + 10*n - 1205 = s. Is n a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 540, 2171, 4888, 8691, 13580, 19555, 26616?\n\"Answer: 543*l**2 + 2*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634614732.\nAnswer: 2, 3, 17628187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 3. Let m be s(-3). Suppose 0 = -32*w + 16*w + 64. Let i be 2 + (-2 - -2) + 0. Solve -3*f = -m*f + x + w, f = -i*x - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129 + 5287\/41. Let r = o + -33\/164. What is the closest to 1\/4 in r, 0, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3) + (-409130)\/(-240). Let z = 1710 - c. Calculate the common denominator of z and 61\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*-21*(-1)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 38184 = y - 88367, 4*a = 2*y + 84354. What are the prime factors of a?\nAnswer: 7, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 + 0.4. Let x = s + -2.1. Which is the biggest value? (a) 1\/3 (b) x (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 1. Let k(d) = 5*d**2 - 10*d - 3. Let n(s) = -6*f(s) + k(s). Let x be n(-8). Let v = -16 + x. What is the greatest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 125*z + 532. What is y(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 276864784 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 639 + -616. Which is the smallest value? (a) o (b) 0.3 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*i - 14*i. Suppose r + 2*l - 52 = i, -2*l = r - 6*l - 70. Let n = 106 - r. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0053 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7623) - 2*(sqrt(7623) - (sqrt(7623) - 2*sqrt(7623)))) + sqrt(7623))\/(6*(sqrt(9) - sqrt(27)\/sqrt(3)) + sqrt(1089) + -1*sqrt(1089) + sqrt(1089)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/7 + 4681\/217. What is the greatest common factor of 10689 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (144\/20 - 7)*-3. What is the third biggest value in 3, n, 8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 - 19*f + 22. Let l be s(-10). Suppose -7*i + l*i = -25. Put i, 4, 42 in decreasing order.\nAnswer: 42, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2483074900 to the nearest 1000000.\nAnswer: 2483000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1560 - -2572?\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 386.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 4*j**2 - j - 4. Let a(q) = -q + 1. Let x(n) = -a(n) - b(n). Let i = 1 - 5. What is x(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172779493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000645962116 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3289691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1614\/420 + -1 + -2 and -64\/105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5267391*q**4\/2 - 18435870*q**3 - 28970661*q**2 - 13168494*q - 15\/2 = 0. Calculate q.\nAnswer: -5, -1, -1\/1755797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -2\/3, 12, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*i**2 - 99*i**2 - 37*i**3 + 195*i**2.\nAnswer: -37*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**0))**10*(p*(p**(-5\/4)\/p)\/p)\/(p\/(p*p**8\/p)))\/((p*p*p**(-5)*p*p*((p*p**(-2\/31)*p)\/p*p)\/p)\/((p*p**(-3\/7))\/(p\/p**5))) assuming p is positive.\nAnswer: p**(8147\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -786223\nAnswer: 4\/786223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 24*m**2\/13 - 622*m\/13 - 4 = 0.\nAnswer: -1\/12, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*b**2 + 6*b - 3*b - 3*b in the form l + i*b**2 + v*b and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 + 5*t**2 - 21*t + 5. Give k(3).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197070647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + ((sqrt(637) - (sqrt(637) + -2)) + 4 - (sqrt(637)*-1 + 3)))*5)**2 + -5)*-3.\nAnswer: -47760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6599737?\nAnswer: 523, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148750 divided by -5.\nAnswer: 29750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -19 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.13731 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -10*f - 101. Let z be h(-10). Which is the closest to 0.1? (a) 14 (b) 1 (c) z (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 45378*b - 272294. Determine h(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 0, 4, 72, 5 in descending order.\nAnswer: 72, 5, 4, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61431 (base 10) to base 14.\nAnswer: -1855d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 12*m**2 - 8*m + 6. Let q(o) = -61*o**2 + 40*o - 30. Let c(x) = -11*h(x) - 2*q(x). Find the second derivative of c(w) wrt w.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 27 (b) 0.17 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 63225370 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16222 + 16215. Is 20 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s**3 + 981*s**2 + 1574*s + 124. What is w(-121)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -2. Let w(r) = -x*r - 2*r + 5*r + r. Let f(g) = 3*g. Give f(w(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 + 109.6. Let w = l - 1.2. Which is the closest to 0? (a) 7 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m - 523 - 21 - 31 = 0 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -745 + 745.1. Let y = 17 + -14. Which is the nearest to 1? (a) -2\/53 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*i = -0*i - 5, -5*i + 15 = -2*k. Suppose 3*q = f + 31, 30 + 15 = k*q + 5*f. Let p = 1798\/185 - -3\/37. Which is bigger: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31522154 (base 6) in base 15?\nAnswer: 13515d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwr when three letters picked without replacement from {t: 2, q: 2, i: 4, r: 2, w: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 7:00 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000290329 to six dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 11. Calculate the remainder when 28 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = -12. Let r(d) = 3*d**2 + 5*d + 1. Is 10 a factor of r(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 219543 + -5?\nAnswer: 219538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(0 - 0) - -4. Suppose -s*k + k = 6. Let t(m) = -4*m**2 - 4*m. Let f(n) = 4*n**2 + 5*n. Let z(x) = k*f(x) - 3*t(x). Solve z(l) = 0 for l.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937740 >= 2937739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 218.55 + -286.6. Let x = v + 68. Round x to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**2 + 4*p**4 - 3*p**4 + 21 - 9 - 11 as j*p**2 + c*p**3 + d + l*p + g*p**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**6\/60 + x**5\/42 + x**4\/42 + x**2. Suppose u(n) = 0. What is n?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1089)\/1694*6\/(-9).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 3)*(s - s + s)*(1 - 9 - 3).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -13, -5, -123, 1 in decreasing order.\nAnswer: 26, 1, -5, -13, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4959608920.128 + -1.2.\nAnswer: -4959608921.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/6 - 308971*k**2\/6 + 10502413*k\/2 - 267789423\/2 = 0.\nAnswer: 51, 308869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 - 3*h**4 - 4*h**4)*(3*h + 4 - 4)*(-2 - 2 + 2).\nAnswer: 30*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 13950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.89614 - -9.89614. Let r = 5.7 - 0.7. Which is the nearest to r? (a) -4\/9 (b) 0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098887 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2847*z - 2817*z + 5669*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < 100025.31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0487, -1144, 18, 1?\nAnswer: -1144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 1. Let n(q) = -5*q - 16. What is n(r) + 6*t(r)?\nAnswer: r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivav when four letters picked without replacement from iviqmaiiiivimi?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/754 and 63\/52588.\nAnswer: 19825676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-15))\/(50160\/8800).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 282.8 and 208186.\nAnswer: 58875000.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202570 is divided by 204.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2280, 7569, 13362, 17187, 16572, 9045, -7866?\n\"Answer: -412*u**3 + 2724*u**2 + u - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 973847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.197 + -16.997. What is the closest to 9 in 2.04, -5, m?\nAnswer: 2.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, s: 5, e: 1, f: 4, m: 2}. What is prob of sequence sxms?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1 + (-3 - 2 + 3)*(0 + 1 + 1) + 1 - 2 + 3 - 3 - 1 + 3 + 0 - 2 - 2)*(-5*s + 4*s + 4*s).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence liw when three letters picked without replacement from tliwwwwlll?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 355836\nAnswer: 355835.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m**5 + 6*m**4 - 6*m**2 - 3*m + 3. Let u(q) = 17*q**5 + 19*q**4 + q**3 - 19*q**2 - 10*q + 8. Let n(x) = 8*t(x) - 3*u(x). Find v such that n(v) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 5*b + 10, -2*b + 1 = -4*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.4289 rounded to 1 dp?\nAnswer: 138.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -0.189262557224.\nAnswer: -0.110737442776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 4*b + 68 = -19*c, -5*c + b - 144 = 0. Let p be (26\/4)\/((-14)\/c). Solve -3*v + 7 = -6*v + 5*d, 2*v = -5*d - p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(2*((-525)\/567)\/25)\/((-1)\/18).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25073?\nAnswer: 25073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 292 - 291.9. Which is the nearest to s? (a) 0 (b) -0.4 (c) -0.1 (d) 1\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79294.3 rounded to the nearest 1000?\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1478795 is divided by 132.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/8 + 614\/4. Let p = -97 + n. Let o be 363\/44 + 3\/(-12). Calculate the highest common divisor of p and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.1 (b) 31057 (c) 2\/5 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 4. Let a be 1\/(-5) + r + 41\/5. Suppose -a = -6*x + 4*x. Calculate the highest common factor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -572, -1145, -1718, -2291, -2864?\n\"Answer: -573*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/18*-1)\/((957\/198)\/(-29))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axcm when four letters picked without replacement from {o: 1, c: 1, m: 1, a: 2, x: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2731, -4, -4\/9, -2\/11 in descending order.\nAnswer: -2\/11, -4\/9, -4, -2731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -803*g**3 - g**2 + g**2.\nAnswer: -803*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214186723 to the nearest integer?\nAnswer: 14635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 0, 3\/5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 42 (b) 3 (c) -12813 (d) -0.4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8886112 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3 + 91*m**2 - 518*m + 680 = 0 for m.\nAnswer: 2, 4, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -965887 + -35?\nAnswer: -965922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/8)\/(1\/(-10)). Suppose f + 25 = 6*j - j, -l*f = 4*j + 9. Let a = 6 - 10. Sort j, a, -1\/9 in increasing order.\nAnswer: a, -1\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + p**2 - 1. Let s(l) = 20*l**3 - 16*l**2 + 16. What is s(f) + 16*x(f)?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*c - s, -4*c - 13*s - 8 = -81 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*f**2 + 3*f**4 + 870*f**3 - 3*f - 2*f - 870*f**3 as r + d*f + j*f**2 + u*f**3 + q*f**4 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*f + 3*q + 316, -f = -3*q + 70. Let s be (4 - (-1)\/1) + f + 13. Are s and -46 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**7))\/(j**(-11)\/j)*(j*j*j**(-12)*j)\/j**5 assuming j is positive.\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 237 = -9*g. Let m = g - 74. Solve 2*o = 5*n + 17, -3*n - m = 5*o - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87 - 86. Let t be r\/((2 - -1) + -6 - -4). Let l be (-2399 - t)\/(-4)*(-39)\/6. What is l rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6741\/4815*30\/(-133) - (-4382)\/38?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*((sqrt(375) - (-3*sqrt(375) - sqrt(375))) + sqrt(375)))\/((sqrt(432)*-1)\/(4*sqrt(100))))**2.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*x, f + 2*x - 4 - 5 = 0. Suppose 0 = s + 4*s - f. Sort -3, s, -2 in decreasing order.\nAnswer: s, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5250 by -25.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1628254.78 rounded to the nearest ten thousand?\nAnswer: -1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50423\/5 - 10084. What is the nearest to 0 in 2, d, -0.5, -18?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/43 and 13\/5?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/8, 5, 4, -8311, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*f - 62082 = -61847 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 15. Let a(x) = -x**2 - 3*x. Calculate a(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 44*p**2 - 2*p - 7. Let t(x) = 525*x + 3. Determine a(t(b)).\nAnswer: 12127500*b**2 + 137550*b + 383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, p: 3, k: 4, q: 1}. What is prob of picking 1 q and 1 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**5 + 10968*p**2 + 78797*p?\nAnswer: 40*p**3 + 21936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1045*y*z**3 - 15515499*y*z**2 - 871*z**3 wrt z?\nAnswer: -6270*y - 5226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -3*m + 14*m**2 - 13\/4*m**4 - 26 - 1\/3*m**3. Find the second derivative of s(u) wrt u.\nAnswer: -78*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/7 + 9168*l\/7 - 23760.\nAnswer: 4*(l - 18)*(l + 2310)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 689896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -3\/8, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149749423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 483\/2 + -244. Let j = -8 + 19. Let w = 14 - j. Which is the biggest value? (a) -5 (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2591.\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 0*b + 41 - 3*b + 7*b + 10. What are the prime factors of v(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3805151461?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from tdetteeeletltdd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 6*z - 546 = 0. Suppose 0 = 8*i - z - 431. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30283818)\/(-4)*(-12)\/(-9). Let t = d - 5494606. Round t to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jii when three letters picked without replacement from {j: 8, i: 3}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 2 + 1)*(0 - 3 + 4) + 193 - 93 + 47)*(0*c + 5*c - 3*c) to f*c + k and give f.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -77. Let g = d - -49.3. Is g smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 57, 138, 211, 270, 309, 322, 303?\n\"Answer: -v**3 + 2*v**2 + 82*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/79, 0.25, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*p + 6, -4*i + p + 8 = 5*p. Suppose 4 + 8 = i*v. Suppose 2*h + v = 2*l - 1, 0 = -3*h + 5*l - 2. Put h, -2\/11, -1 in decreasing order.\nAnswer: -2\/11, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3 + 530*k**2 - 34454*k - 34986 = 0.\nAnswer: -1, 119, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7623 + -7527. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 + 7*c**2 + 4*c + 2. Let d be k(-3). Let g be (2\/95)\/(8\/40). Which is bigger: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**4\/11 - 7038*b**3\/11 - 7032*b**2\/11.\nAnswer: -6*b**2*(b + 1)*(b + 1172)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*b = -240*b + 60, -2*b = -5*w - 22 + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 194624 + -52937667\/272. Find the common denominator of 149\/48 and a.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10322000 - -123?\nAnswer: -10321211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-6))\/(14\/(-411)) - (-10666)\/(-37331).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4031571 divided by -4?\nAnswer: 4031571\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 336 and (191 - -91) + -2 + 0?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 334.52316 and 0.3.\nAnswer: 334.82316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyymyyymymjjm. What is prob of picking 1 y and 1 j?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let t(d) = 8*d - 1. Suppose 9*y = 12*y + 102. Let g = 26 + y. Let u = g - -2. Determine u*l(z) + t(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.694843? (a) 0.061 (b) -0.3 (c) 4\/9 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.48625 + -4.29985715. Let d = -0.11639338 + f. Let z = d - 0.07. Round z to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 276*t + 785. What is f(-3)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1*(-1)\/(-5)). Let j = 50 + -50.056. Let h = j + -0.244. What is the smallest value in h, 0, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l = 8*l + 32. Let k(r) = 2 - 4*r**2 + 2 - 5*r**l - 8*r**3 + 9*r**3 + 4*r**2. Calculate k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -25*t + 2179. Let a be k(87). Solve -5*l = -35, -3*b + 2 = -a*b + l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31347576.\nAnswer: 2, 3, 13, 107, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o + 4*o - 2*o + (-2*o + 2*o + 2*o)*(3 + 0 - 1) - 1252*o - 1180*o - 148*o as f + s*o and give s.\nAnswer: -2577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 29*a**2 - 39*a - 225. What are the prime factors of l(22)?\nAnswer: 12953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*n - 25 = 0, -2*k + 2*n - 10 = -3*k. Suppose 3*c + 2*y + 3 = 9, -y = k. Solve -c*g - 20 = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 13*z**2 - 37*z - 53. Determine g(9).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 8:48 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 - 40 + 35 + 184*v + 96*v.\nAnswer: 280*v - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 14*s + 2884. What are the prime factors of s?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**3 - 926*y**2 - 10397*y - 533. Calculate h(-297).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50134303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/6*(-120)\/150. Put q, -14, -4, -1 in decreasing order.\nAnswer: -1, q, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*p = -158*p + 34676400. What is p rounded to the nearest 10000?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5*2\/2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -309.32 times -0.036\nAnswer: 11.13552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 19 + 4 = 0. Suppose 3*f - 48 = -57. Let i = n + f. Solve 0*a - 3*a = 3*m + 12, i = a + 3*m + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.3051733 kilometers?\nAnswer: 30517.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/(-20) - (-12)\/48. Suppose h + 0*h = -4. Let u be 0 + h + (-13)\/(-3). Sort v, u, -1.\nAnswer: -1, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478*j**2 + 1432*j**2 - 473*j**2 - 480*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*w + 2*w. Let q be (-4)\/3 - 10\/w. Let o(l) = 41*l**2 - 3*l - 3. Is o(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5973138 (base 11) to base 3\nAnswer: 201121002012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3074 + 3085. Do b and 182\/15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20130400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 149.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 + 2. Let m = -863 + 1848. Let k = m + -986. Sort k, q, -4 in descending order.\nAnswer: q, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t + 189 - 179 + 238)*(-3*t + 2*t - 4*t).\nAnswer: 35*t**2 - 1240*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Let p = -581 + 567. Sort u, -3, p.\nAnswer: p, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*o = 127*o - 396. Let a(k) = -k**3 - 37*k**2 - 36*k + 6. Let w be a(o). Calculate the greatest common factor of w and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 128? (a) -3\/7 (b) -0.5 (c) -4\/15 (d) 4 (e) 83\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 equal to 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2950 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*g - 40 = 0, 12*c + g - 15 = 7*c. Let r(u) be the second derivative of 0 - c*u**2 - 1\/6*u**3 + 2*u. What is r(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y - 3. Let d(o) = 2*o + 4. Let h be d(-7). Let u be m(h). Suppose 0 = 3*g - u - 18. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/54)\/1*261\/(-203)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/(-480))\/(-1*2\/32*-4)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6782.\nAnswer: 2, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32664*y**3 + 2*y**2 - 24*y - 9179.\nAnswer: 195984*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254072003 to the power of 1\/3, to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*q - 57 = 222*q + 39. Which is greater: -65\/11 or q?\nAnswer: -65\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-12)\/32*(0 + (-6)\/45)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3709 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-12)*-9)\/((-14)\/(84\/6))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = 24*r - 19*r. Let h = 110 + r. Suppose -21 = w - h. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6)*(0 + 3). Let v = 5 + k. Let u be (-1 - 11)\/((-22)\/11). Sort v, u, 0.\nAnswer: 0, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 9\/7)\/((-3801)\/(-8688)*8\/7)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/9)\/((-2)\/(-6)). Suppose 0 = 4*i - 0*i - z. Suppose -i*u - 3*u + 65 = 0. Solve u + 2 = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*v + 16 + 4, 0 = 3*v + t - 9. Solve -v*n = -2*g, -2*g + 0 = 3*n + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**4 + z**3 - z**2 - z. Let o(j) = 5*j**3 + 2*j**2 + 2*j - 8*j**3 + j**3 + 4*j**4. Let i(x) = -3*f(x) - o(x). Determine t, given that i(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**4\/4 + 7*d**3\/3 - d**2\/2 + 9*d + 2. Let s be k(7). Solve 8 = s*q + 4*o, -4*q + 5 = o - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20384952700 to the nearest 1000000.\nAnswer: -20385000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1354 + 8999 + 186 - 2279*f with respect to f.\nAnswer: -2279","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*p + 21, -4*p = -3*n - 3 - 24. Suppose x - 32 = 3*m, -m - p*m - 31 = x. Let k = 18 + m. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + (8 - 8) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-216)\/(-14))*-3 - 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -57.53 * 109\nAnswer: -6270.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*g + 17 = 0, -3*g + 8 = 20. Solve -1 = 4*u + b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**3\/6 + y**2\/2 - 22*y. Let g(w) = 2*w - 6. Calculate -g(z) - 5*i(z).\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 17 = 3*v + 5*r, 2 = 2*v + 4*r. Let o(a) = 7*a**2 - 7*a - v*a - 5*a. Let c(s) = 4*s**2 - 8*s. Calculate -11*c(q) + 6*o(q).\nAnswer: -2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*g**3 + 150*g - 1 - 76*g - 74*g - 483*g**3.\nAnswer: -426*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 237*n - 932. What is a(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17704274 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.2 + -2.63. What is the second smallest value in -2\/3, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 662811 = -37*r + 20*r - 2239089. What is r rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33189438.\nAnswer: 2, 3, 193, 28661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1492*t - 32940 = 394*t for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -5, 2\/3, 1753?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41\/(-13) - (0 - 3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 8*v - 40 + 3 + (1 - 1 + 2*v)*(3 - 4 + 6) as f + n*v and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 5:58 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < 12849815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09607 to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + -7 + -2 + (148 - (-15 - -112))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a = 0. Suppose 3*d + 4*m = -m + 4, a = -5*d - 3*m + 12. Let k(s) = 3*s**2 - 4*s + 3. What is the smallest common multiple of 10 and k(d)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2808)\/143 + 28)\/((-24)\/(-88)).\nAnswer: 92\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4311763457805911\/47420 - -90927107931. Let x = o + 2\/2371. Calculate the common denominator of x and -5\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*n**2*p**3*x**3 - 2*n**2*p**2*x**3 + n**2*x**2 + n*p**2*x**3 + 2*n*p**2*x**2 - 2*p**3*x**3 wrt p.\nAnswer: 384*n**2*x**3 - 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21.39893 - -21.4. Round c to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*i + i - 5, 2*y + 4*i - 4 = 0. Suppose y = 5*h - 1930 + 300. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 3:35 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l**(2\/5))\/l*l))**(-28)*l\/(l\/(l\/(l\/(l**15*l))))*l**17)**44 assuming l is positive.\nAnswer: l**(9724\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 - 2\/4. Let q = 4 - 8. Let x = h - q. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 879*i**2 + 7031*i - 5. What is r(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-22)\/(-28) + -6)\/(72\/(-294))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*v + 253*v = -3100 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.1 - -0.1. Let k = -4 - f. Which is the closest to k? (a) -0.1 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 0.4, -0.055?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457638?\nAnswer: 2, 3, 89, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 219.73 - 218. Let y = x - -3.47. What is y rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 1)*(-12*p**4 + 128*p**4 + 45*p**4).\nAnswer: 966*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence she when three letters picked without replacement from {g: 1, h: 1, e: 1, s: 2, v: 1, d: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37859578997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*3*(-1)\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -21*u - 818. Let n be g(-36). Is -86 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 84a + -c52a?\nAnswer: -b9b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. What are the prime factors of 72\/30*20\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 88 in -0.5, -0.4, 0.3, -2\/3, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7*n + 10. Suppose k + 2 = 2*k + 2*w, n*w - 2 = k. Let p = 307 - 302. Solve k*r = r - p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4824 and 105056?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(13) + 1 + sqrt(13)) + -3.\nAnswer: 3 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - 0. Let o(y) = y**2 + 5*y - 3. Let v be o(d). Solve -i - v*j = -5, 5*j = 7*i - 3*i - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2818289266?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 less than 0.4?\nAnswer: -283.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 23*i**2 + 2654*i + 1021. What is h(-115)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6)*(13 + -16) - 6. What is the hundreds digit of (-12)\/t + 3\/(48\/2696)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - t**2 - t. Let n(f) = -2*f**3 - f**2 + f - 1. Let p(b) = -15*b**3 - 11*b**2 - b - 6. Let a(m) = 6*n(m) - p(m). Determine -a(w) - 5*q(w).\nAnswer: 2*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*g**2 + 52*g**2 - 2*g**3 - 37*g as j + m*g**2 + d*g + p*g**3 and give d.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, c: 2, u: 8, d: 4, f: 1}. Give prob of picking 1 c and 3 d.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, -0.5, 0, -54\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2714*a**2 + 3*a + 13926 wrt a?\nAnswer: -5428*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + 4*v**3 - 6*v**3)*(1 + 11 + 4)*(-10 - 15 + 35 + 4 - 1 - 1 + (5 - 2 - 1)*(0 + 1 - 2) - 4 + 0 + 2 + 2 + 2 - 2).\nAnswer: -320*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31321 - -0.05636077.\nAnswer: 0.36957077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -22001110101?\nAnswer: 22001110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5)**28*(y\/y**(-5\/6))\/(((y**(-4)\/y*y)\/y)\/y) assuming y is positive.\nAnswer: y**(887\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -10*n**2 - 204*n - 126. Let w(l) = -206*l + 15 - 63 - 77 - 9*l**2. Let c(s) = 3*t(s) - 2*w(s). Factor c(u).\nAnswer: -4*(u + 16)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n**2. Let x be 11\/(-2) - (-3)\/6 - 2. Let v(r) = -9*r**2. Suppose 0 = -0*k - 4*k + 20. Let z(y) = k*v(y) + x*c(y). Let s(a) = 2*a. Give s(z(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10002210121212 (base 3) to base 16.\nAnswer: -192b2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -12*o - 98. Calculate s(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -35. Let z = 7 - p. Let c = -12 - z. Put 3\/7, c, -6 in descending order.\nAnswer: 3\/7, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4399*b**2 + 1 + 312*b**2 - 1227*b**2 - 295*b**2. Let c(s) = -2*s**2. Give q(c(p)).\nAnswer: -22436*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26096 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -9 (b) -2\/13 (c) 0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -3*l + l. Suppose -4*q - 93*u = -92*u - 272, 0 = -3*q - 5*u + 221. Calculate the remainder when q is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -918 + 918 + 721*d**2 as g*d**2 + w*d + p and give g.\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 10:25 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 7, 1836 in increasing order.\nAnswer: 2, 3, 7, 1836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 159*h**5\/5 - 129*h**4 + 198*h**3 - 138*h**2 + 39*h - 9\/5 = 0.\nAnswer: 3\/53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369375.\nAnswer: 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 10*k**2 + 2*k - 380*k**2.\nAnswer: -390*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 7)*(-6)\/14. Let v be (3 - a)\/4 - -26. Let p = v - 24. Solve h - 2 = 3*g - 0, -p*h + 7 = -3*g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7455 times 23?\nAnswer: -171465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7 - 123*((-132)\/18 - -1).\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 5*l + 2911, 4*m + 5780 = 5*l - l. What is the common denominator of 17\/15 and m\/(-1584) - 15\/18?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*k - 0 + 4, -4*k + 4*q = -24. Let w(b) = b**2 + b - 14. Let z be w(k). Solve -z = j + j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1758762352 is divided by 1193.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -0*y + 2*p - 15, 4*p - 6 = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k - 2. Let m be j(2). Let x be -1 - (m\/(-2) - 0). Calculate the highest common factor of 36 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 1 - 992*y - 10.\nAnswer: -992*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 856 divided by 6\nAnswer: 428\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17261979?\nAnswer: 3, 7, 821999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 276 - -130\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 5\/1166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/405, 6, -31334?\nAnswer: -31334","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (340\/(-90))\/((-3 + 436\/144)*8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 * 0.74.\nAnswer: -22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o + 7*o**2 - 2 - 2 - 2*o - o**3. Let g be z(7). Suppose -4*j + 12 = x + x, j = -g*x + 8. Let w(d) = -4*d + 3. What is w(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 6:34 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-6174)\/(-35))\/(3\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*o**4 - 6*o - 3006.\nAnswer: -60*o**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/3 - 352*u**3\/3 + 43886*u**2\/3 - 126980*u\/3 - 57072 = 0.\nAnswer: -261, -1, 4, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from vxivxcxxnnmm.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9088 + 2999 = 1334*u + 78676 + 40131 for u.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -67*u**2. Let y(v) be the third derivative of v**6\/720 + 4*v**4 - 70*v**2 - 1. Let o(d) be the second derivative of y(d). Calculate z(o(j)).\nAnswer: -67*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16527 - -23247. Is 30 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 169*q**4\/3 - 12790882*q**3\/3 + 2951699*q**2 + 3632876*q\/3 + 302740\/3 = 0?\nAnswer: -2\/13, 1, 75685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - 42\/(-6)) + -37 + 0. Let s = a - -74. Calculate the least common multiple of s and 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636 = 56*h + 256 - 1020 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**3\/6 + 13*a**2\/2 - 2*a. Let t be f(-14). What is the greatest common factor of t and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478036?\nAnswer: 2, 13, 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 0 + 74\/24. Let c(v) be the second derivative of 0*v**3 + 0*v**5 - v + 0*v**2 - y*v**4 - 1\/15*v**6 + 0. What is the third derivative of c(j) wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6683\/23268 + 5\/3324. What is the closest to 5 in -0.3, f, -42?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-2\/21)*s))\/(s\/(s**3\/s)))**(-4\/7)\/(s**6*s**(4\/3)*s*s*s**(-1)\/s**(-8)) assuming s is positive.\nAnswer: s**(-803\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, o: 2, h: 1, b: 4, d: 3}. Give prob of sequence dsb.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97523.\nAnswer: 97523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*a + 102 + 203 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 + 79. Sort z, 5, 0 in ascending order.\nAnswer: 0, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = 16*m - 17*m. Suppose 111*a = m*a + 140. Calculate the highest common factor of a and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 48. Suppose -3*o - 4*s = -85, n*o - 7*o - s + 109 = 0. Calculate the remainder when o is divided by (2 - 9)\/(-6 + 33\/6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/10 - 4\/15. Which is the nearest to d? (a) 0.2 (b) 0.3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139 - 86. Let j = 14 + b. What is the remainder when j is divided by 136\/10 + 1 + (-3)\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*o - 56*o - 4*o**2 + 19*o**2 + 110*o to the form p*o**2 + n*o + i and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6890167?\nAnswer: 6890167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 11:27 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 761361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7 - 3*g**2 + 7 + 4*g**2. Let x(u) = -9*u. Determine x(v(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(4 + 6\/(-1)). Suppose o*f - 20 = -4*m - 0*f, 15 = 3*m - f. Suppose 2*z = -0*z - 2*h + 768, m*h - 1539 = -4*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7d - -722?\nAnswer: 7a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012111010010 (base 3) to base 10.\nAnswer: 639417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - b - b + (-4*b + 5*b - 3*b)*(-2 + 0 + 4) - 4 + 4 - b + b - b - b - 2*b + 0*b + b - 2*b + 4*b + 0*b)*(4*b - b - b)*(-3*b + 1 - 1).\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 10*a**2 - 7*a + 10. Suppose 4*h - 2*i + 12 = -32, -4*i = -16. Give b(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 850 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -2, 17826?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + 5*(2 + 3*sqrt(1377))))**2.\nAnswer: 10800*sqrt(17) + 1239700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r**3\/7 + 816*r**2\/7 - 2042*r\/7 - 948\/7 = 0 for r.\nAnswer: -2\/5, 3, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 - v**2. Suppose 4*n - 4 = -0*n. Suppose n = a - 0*a. Give r(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24*(-155)\/(-372)*(-4)\/2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - v + 1. Let f(u) = 23*u**3 - 4*u + 1. Let j(h) = 2*a(h) - f(h). What is the tens digit of j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 246 = -4*z + 198, 0 = -v + 5*z - 4. Let g(p) = p**3 - 15*p**2 - 16*p + 11. Determine g(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29 (b) 0.031 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 2593921.\nAnswer: -17\/2593921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24707 is divided by 233?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 + 22*a - 3. Let v be o(7). Find the first derivative of -80 - 79 - q**4 - 12*q**3 - 12*q**3 + 3*q**v - 46*q**3 wrt q.\nAnswer: 8*q**3 - 210*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*i + 3*i - 244 = 0, 3*i = -4*q - 334. Let g = 123 + q. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/14 - ((-140386)\/(-21))\/((-2)\/9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 11:54 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 507 + -133. Let t = -374.153 + c. Let n = t - 3.947. Round n to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 599*q**3 - 4805*q**3 - 3390*q**3 + 933*q**3 - 1240*q**3.\nAnswer: -7903*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.2, -10 in decreasing order.\nAnswer: 0.2, -1\/4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10666, -10605, -10430, -10081, -9498, -8621?\n\"Answer: 10*w**3 - 3*w**2 - 10673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/21, 22, -3.3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.4 - -13.6. Let v = 58.104 - k. What is v rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-728616003)\/24 + 33\/264. What is t rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2920607 to the nearest integer?\nAnswer: 1709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*x + 1062, 2*x - x - 5*d = 341. Suppose 272 = -4*s + x. What is the remainder when 59 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*x - 41, -5*x + 103 = 2*s - 5*s. Let o = s + 27. Sort 11, o, 5.\nAnswer: o, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1240a (base 16) to base 4\nAnswer: 102100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1132, 1133, 1136, 1141, 1148, 1157?\nAnswer: 1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 942.724\nAnswer: 188.5448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3902714 to the power of 1\/2, to the nearest integer?\nAnswer: 1976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78833156 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*n - 2279*n - 89855 = 60805 for n.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5123 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c - 7*u + 0*u + 244 = -5*u, -u - 59 = -3*c - 16 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 - 135*w\/4 - 139.\nAnswer: (w - 139)*(w + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 223 - 7. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d - 458 = -362 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**5\/5 - 217*u**3 + 258*u + 744. Find the first derivative of n(g) wrt g.\nAnswer: -4*g**3 - 1302*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 3*a + 8, -23*d = -26*d - 2*a - 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - 43*a**2 + 1257*a + 320. Give h(-38).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 389719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 2. Let w = 4 + l. Suppose w*x + 2*x - 20 = 0. What is the greatest common factor of 12 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -8788\/3*k**3 + 28561*k**2 + 0 + 1\/15*k**6 + 169*k**4 - 26\/5*k**5 + 26*k. Let z(o) = 0. What is o?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 436, 1456, 3424, 6652?\nAnswer: 11452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(35) + (sqrt(5040) - (sqrt(5040) + sqrt(5040) + (sqrt(5040)*-2 - sqrt(5040)) + sqrt(5040))))\/(-3*-2*sqrt(5) + sqrt(5)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zepeaqzlaeqz. What is prob of sequence pee?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4906, -4810, -4714, -4618, -4522?\nAnswer: -4426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -926412594 divided by 6?\nAnswer: -154402099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -1, 228, 3 in decreasing order.\nAnswer: 228, 3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 0)*(-145 + 6).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 = 0, 190417 = 3*d - 1502*m + 1501*m. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 320401364 to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 0.02, -0.15, -1, -33\/4, 0.3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7546.805 meters to nanometers.\nAnswer: 7546805000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -1 - -6) + 2 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3789, 8103, 12941, 18303, 24189, 30599, 37533?\nAnswer: 44991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 2*k + 13. Let c be t(4). Suppose -j = 2, y + 0*y = c*j + 16. Calculate the smallest common multiple of 22 and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 4*j - 1. Let r(c) = -c - 1. Let o(f) = -p(f) + 2*r(f). Give o(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 91, 972, 3365, 8026, 15711, 27176, 43177, 64470?\n\"Answer: 126*a**3 - a - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4138 (base 10) in base 14?\nAnswer: -1718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45\/13 + -469\/26. Calculate the common denominator of 8\/5 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + -7*(-4)\/14 - 5. Let s(x) = -8*x + 12. Let p(l) = l - 1. Let u(o) = -12*p(o) - s(o). Let h(a) = -2*a. Determine z*u(c) + 14*h(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 193, -12, 0, -20 in descending order.\nAnswer: 193, 0, -12, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 3*v - 8. Let x(q) = -q**3 - 11*q**2 + 13*q + 12. Let o = 0 + -12. Let a be x(o). Suppose h - 3*d - 18 = -0*d, a = -2*h + d + 16. What is t(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/36 and (-9)\/6 + 0 - 1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2665 - 1037. Let w = g - 1083. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 365 + -27. Let j = -337.9 + h. Let p(l) = l**2 + 1. Let m be p(2). Which is the nearest to j? (a) -2 (b) m (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 20*h + 9. Let j be u(-9). Which is the second biggest value? (a) -4 (b) j (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36 and 0.05.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*g**2 + g + 7*g**3 + 1 + 3 - g**3 + 19*g**2 to the form o*g**2 + v + x*g + h*g**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -804, -1799, -3186, -4971, -7160, -9759?\nAnswer: -12774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 0.1, 2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -8*w + 36. Let l be h(4). Suppose 16 = l*n - 7*n + 5*a, -5*n = a - 20. Suppose -n*v = -11*v + 888. Calculate the remainder when v is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85768172.00000044 - -85768152. Let d = l - -20. Round d to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 - -0.08. Let r = -0.09 + g. Suppose y = 5*y + 8. What is the third biggest value in r, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, p: 1, n: 13, e: 3, g: 2}. Give prob of picking 2 n and 2 g.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.37488 millilitres?\nAnswer: 0.00237488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-3.50091.\nAnswer: -0.1050273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 5*x**2 - 1. Let v be j(5). Let f be v\/2*(2 - 3). Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 7*f + 42. Suppose 22 = -9*w + 11*w. What is the units digit of k(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -0.5, 1\/28?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 27 = -0*d. Let u = d - -13. What is the third derivative of 3*j**6 - 8*j**3 - u*j**2 + 8*j**3 wrt j?\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 899744.8 litres?\nAnswer: 899744800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -23. Let w be (1\/3)\/(((-2)\/7)\/(1530\/(-357))). Sort w, 2, o in descending order.\nAnswer: o, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*c**2 - 48*c**2 + 69*c**2 + 62*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457638597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4069\/6105 - -35\/111. Calculate the common denominator of d and 121\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -187498*c**6 + 47319*c**2 wrt c?\nAnswer: -22499760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13461871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/5 + -1\/10. Let p = -5 - -10. What is the closest to c in p, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x. Let a be h(3). Suppose -4*v - 243*i - 6 = -248*i, 0 = 4*i - 24. Solve -4*d - 4*j = a, d + 0*j - v = 3*j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128946 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/9)\/(5\/(-71445)). Suppose 9*g - h = -569. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgzzzgzzzzzzz. What is prob of picking 2 z and 1 g?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1353 - -1364. Solve -r*i - 1 = -12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-84))\/(9\/(-6))*-12*57\/513.\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 79, 2\/7, -6853, -4, -0.1, -1, 2?\nAnswer: -6853","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.41759 grams to micrograms.\nAnswer: 32417590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 88556.69 nanometers?\nAnswer: 0.00008855669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 30*q - 14. Let b be o(12). Let h = -348 + b. List the prime factors of h.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3990 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/(-24)*(-42)\/4. Suppose 2 - k = -2*b. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 652 is divided by 205?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + 0.02. Let g = -0.46 - v. Let q = g + 0.4. Which is the closest to -2? (a) -3 (b) -2\/11 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 7:53 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 7*d - 3896 = -2*d, 3*d = 3*u - 5835. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1571 + -1580. Do -228 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.8 and -0.0978?\nAnswer: -0.86064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 0. Suppose 0 = -2*h + z, 5*p = 4*h + 13 + 4. Suppose 5 + 15 = 4*v. Solve -4*q = -p*u - 13, -2*q = -v*u - 18 - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, y: 1, a: 2, j: 2, o: 1, u: 2}. What is prob of picking 1 j, 1 o, 1 a, and 1 y?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -679235, -3, 7.\nAnswer: -679235, -5, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 5894*o + 4284344\/3.\nAnswer: -2*(o - 9077)*(o + 236)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.35 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.44, 2\/347, -0.05, 7?\nAnswer: 2\/347","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112560 - 54931. Suppose -40371 - p = -2*u. What is u rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43\/21384904 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1056688905 divided by 3?\nAnswer: -352229635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 4:35 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21, -93, -223, -417, -681, -1021?\n\"Answer: -d**3 - 23*d**2 + 4*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 z, and 1 r when four letters picked without replacement from zsrswmriwswrww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 - -6861266?\nAnswer: 6861140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9037142, -9037134, -9037126, -9037118, -9037110?\n\"Answer: 8*i - 9037150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*p**2 + 170220*p + 3106285.\nAnswer: -5*(p - 6827)*(5*p + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101 and 1212?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5645753 (base 8) in base 12?\nAnswer: -617663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/((q\/(q**(-15)\/q))\/q)*q*q**(-35)\/q assuming q is positive.\nAnswer: q**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -5489410 to the nearest 1000.\nAnswer: -5489000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/133)*t\/(t\/((t\/(t*t**(-17)))\/t)*t*t*t)*t*(t**(-2\/7)*t)\/(t\/(t**37*t)) assuming t is positive.\nAnswer: t**(6880\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*((-24876)\/(-9674))\/((-15)\/(-21) - 1)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j**2 + 12*j**2 + 3*j**2)*(2224 - 210*j**2 - 2224).\nAnswer: -1680*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1731976 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 1 - (-260 - -247).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-28) - (-1)\/(-4). Suppose -6 = -c*d - 2*d. Solve 4*n = k - 15, 4*k - d*k = -4*n - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-180)\/40*(-12)\/(-2). Let n be (2 - 1\/(-3)) + (-30 - q). Which is the fourth smallest value? (a) 0.5 (b) -1\/5 (c) 2\/5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2904 is divided by 153.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 11. Let z(g) = g**3 - 7*g**2 + 12*g - 13. What is the remainder when z(6) is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 137\/23 - 45\/(-1035). Let o(k) = k**2 - 13*k + 14. What is o(c)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 2*c + 6*c - 1)*(-1 + c**3 + 1 + (3*c - c**3 - 3*c)*(-1 + 5 - 6)) as m*c**4 + j*c**3 + i*c + b*c**2 + f and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -19 (b) 16204 (c) 5 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -46, -4, -19 in increasing order.\nAnswer: -46, -19, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 p when three letters picked without replacement from xoptxxxpxj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/(-120))\/(42\/(-8))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.14 + 0.14. Let x = t + 8.3. Let z = 3.14 - 0.14. What is the closest to x in -1\/6, 1, z?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 39407899*u**2 + 388245645602499*u - 388245606194601.\nAnswer: (u - 19703949)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-7)\/(-3) - 2)*(43 - 31) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5638, -5641, -5644, -5647?\nAnswer: -5650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 940207517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**3 - 72*m**2 + 1449*m + 223. Give k(-37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3873, -3891, -3933, -4011, -4137, -4323?\n\"Answer: -2*u**3 - 4*u - 3867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*m + 2*c = -7, 0 = 2*m - 2*c - 10. Suppose 4*s - m*g - 11905 = 29699, -g = -3*s + 31203. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c - 38. Let d be b(-11). What is the highest common divisor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 30. Which is smaller: 18 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4165)\/(-378) - 11)\/((-2)\/(-151)) and 47\/4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 3. Let j = 13 + -17. Let n be c(j). Suppose -y = 2*q - 10, 2*q + 5*y - n - 1 = 0. What is the greatest common factor of 66 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2505523064*t**2 + 48*t**3 - 2505523064*t**2.\nAnswer: 48*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 17819.7 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*a + 6, -2*b - 5 = -4*a - 1. Let i = -4 - -43. Suppose i = 42*s - 39*s. Solve 0 = -r - 2, a*h + s - 1 = -5*r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4)*(-8)\/12. Let n be (374\/(-10) - -1) + 1. Let x = n + 1957\/55. What is the nearest to p in -0.5, 1, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9023, -17156, -25289?\nAnswer: -33422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 7*m**2 - 9*m + 1. Let h be w(-8). Let k(r) = -r**2 + 17*r + 9. Let b be k(9). What is the highest common factor of b and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.5 greater than or equal to 53.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165190?\nAnswer: 2, 5, 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/176)\/(230\/3680).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -77, 2, 20, 3 in ascending order.\nAnswer: -77, -4, 2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109449161 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - z + 526 = 0, 2*z - 790 = -3*l + z. What is the remainder when l is divided by 93?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 59724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*u + 31, -2*u - 8 = 2*b - 4*b. What is the common denominator of (1 - 11)*u\/36 and -85\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 8*s**2 + 5. Let n be c(8). Suppose -3*o + 1 = -n. Find k such that o - 2*k**3 - 1 - k**4 + 0*k + 2*k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-1) + (2 - -1). What is the third biggest value in -0.4, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3211657, -12846632, -28904927, -51386542, -80291477, -115619732?\n\"Answer: -3211660*h**2 + 5*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5017, 4959, 4901, 4843, 4785?\nAnswer: 4727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31401 * -607.\nAnswer: -19060407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*o - 10, 24 = -4*o + 5*t - 1. What is the second biggest value in 3, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*((-4)\/4 - -5) + 4. What is j rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -141*h - h**2 - 50*h + 0*h**2 - 9343 - 9*h - 657 = 0.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*s - 7*s + 0*s)*(-4 + 5 - 3).\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -6*v + 35 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*62.\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - 2 - (1 - -3). Suppose 39 = 3*b + 4*k, 3*b - 3*k + 18 - 57 = 0. Put 5, b, o in decreasing order.\nAnswer: b, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 11:13 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*d**5 - 55*d**4 + 75*d**3 - 45*d**2 + 10*d.\nAnswer: 5*d*(d - 1)**3*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(396) + sqrt(396) + -3) + 1)**2 + 0)*-3.\nAnswer: -76539 + 3744*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 10*y - 142. Let u be x(-18). Let o(r) = -2 - u*r**2 + 45*r**3 + 35*r**3 - 81*r**3. Suppose 8 = 5*g + 23. What is o(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1958)\/267 - (-13 - (-2 - 0)). What is b in r*b**3 + 7\/3*b**4 - 1\/6*b + 2*b**2 - 1\/3 + 1\/2*b**5 = 0?\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 230 - 192. Solve d*n + 8 = 42*n, -5*p = n - 22 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 2*s + 1. Let y be f(3). Let x = y - -13. Let w = -31 - -52. What is the remainder when w is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 1\/3*c**4 + 0*c**3 + 0*c**2 + 0 + 3*c. Let s(f) be the first derivative of 2*f**3\/3 + 1. What is r(s(j))?\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 1:36 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 622.201 centuries?\nAnswer: 62.2201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-240)*-5)\/(-1)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {s: 8, l: 5, t: 4}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 160, 325, 490, 655, 820, 985?\n\"Answer: 165*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6599 - 2?\nAnswer: 6597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e66b (base 16) in base 5?\nAnswer: 22040214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfqb when four letters picked without replacement from nqqvfpbvqnqvpv.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-2*x - x + 0*x)*(-4*x + 2 - 2).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 179\/9. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjgg. What is prob of picking 2 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -0.2, -3, -70, 0.1 in descending order.\nAnswer: 0.1, -0.2, -3, -8, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114 and 42.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -205*j + 216*j - 44. Let z be 2\/(-5) - (-54)\/(-15). Sort j, 0, z in decreasing order.\nAnswer: j, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-2))\/(16 - 17). Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**4\/3 - 23*l**3 - 450*l**2 - 5504*l\/3 - 2048 = 0.\nAnswer: -32, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**2 + 4*n**2 + 5*n**3 + (n + 1 - 1)*(2 - 2 - 3*n**2).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 6:37 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*c - 6*c + 3600, -4*c + 4*x + 7200 = 0. What is c rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 0)\/(0 + -2 - -3). Let h be (-1 - u)*(-3 - -9). Let y(i) = i**3 + 6*i**2 - 3*i - 10. Let d be y(h). Let n(l) = l**2 - 6*l - 11. Calculate n(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-564)*47*-74\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 679*a + 1711. Give g(-4).\nAnswer: -1005","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) + -2*sqrt(130)))*-1 - sqrt(130))\/(-3*sqrt(60)\/sqrt(6)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*w + 121872 + 38497. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + o + 0*o + 0*o - 2*o + 0*o + (1 - 1 - o)*(-1 - 3 - 2) - 1 + 31*o - 19*o + 32*o)*(0*o - 2*o - 2*o) as x*o**2 + b + u*o and give x.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - h)*(-2123 - 95*h + 2123) + (0*h + h - 2*h)*(2*h - 5*h + 0*h).\nAnswer: 98*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1 - 31 - s + 20. Determine l(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2117877 is divided by 13072?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/2016)\/(15\/45)*(34\/20 + -2)?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230 = -66*k + 112*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 72*r**2 + 420*r + 784.\nAnswer: 4*(r + 4)*(r + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 26*s - 26*s + 16*s**3.\nAnswer: 16*s**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112707?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 0.5, -2\/59, 105?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 21*v - 14. Let o(c) = -10*c + 7. Let g(t) = 13*o(t) + 6*s(t). Let i be g(10). Let k = i + 116. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 240 - 237. Let u(w) = w**2 - 5*w. Let b be u(3). What is the tens digit of (-1)\/o*b + (-338)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/87 + -83\/435. What is the second smallest value in n, -6\/11, -4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -10) + -15 + -2 + 54 + -2 + -1\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7049.954 rounded to the nearest integer?\nAnswer: 7050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1212 - -2?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 11:46 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d - 11*d - 55*d - 102*d.\nAnswer: -200*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.8 - 30.8. Let g = -27.032 - 0.068. Let n = g - o. Sort n, 3, -18 in ascending order.\nAnswer: -18, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(5) + -5 - sqrt(18))*4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 2*y**2 - 10*y - 3. Calculate s(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.74 minus 4423676?\nAnswer: -4423669.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**5\/20 - 7*p**4\/6 - 17*p**3\/6 - 9*p**2 - 10*p. Does 9 divide w(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 686342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -26. Let j be x*(39\/15 + 0). Is j greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2914 - -1950\nAnswer: -964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -633072+-27424767\nAnswer: -28057839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115512090?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 1. Let n(t) = 6*t + 5. Let u(g) = 2*n(g) + 11*v(g). Let j be u(1). Solve j*p + 5*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201 - -12021121102222?\nAnswer: 12021121101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 7.6, 0.1, -2, -12413?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 3*z + 3. Let m be y(3). Let v be 4\/3 + m*(-6)\/9. Does -1 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -30788*a + 28. Let r be b(-19). What is r rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -4, -0.2, 1\/12, 0.1, -202?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 231.31 kilometers?\nAnswer: 231310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*a - 20 - 16 + 36 + 160*a.\nAnswer: 541*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -321*t**2 + 88 + 209*t**2 - 86 in the form g*t + h + x*t**2 and give x.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 11:51 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 286830394 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2 + 2)*(1 - 2 + 3)*(-50 + 19 + 10).\nAnswer: -84*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 4*h**2 + h - 10. Determine t(-7).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5952 by -93.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -217 - -434. Let b be (-639)\/5 - (-4)\/(-100)*5. Let d = s + b. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0*b)\/b)**(-2\/11)*b**(5\/3)*b\/(((b**(4\/5)\/b)\/b)\/b*b))**(-5\/7) assuming b is positive.\nAnswer: b**(-58\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -124742941 + 4?\nAnswer: -124742938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2461\/126 + 2\/63. Let k = q - -18. What is the closest to -3 in k, 1, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 - 7383*t + 74 + 70 - 212)*(-3 - 5 + 2).\nAnswer: 44298*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 233\/(-4) - (-1)\/4. Let a be 117\/k + (3 - 1). Let m = a - 981\/290. Calculate the common denominator of -73\/3 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1471\/33 + -134\/3. Suppose 0 = u + 2*u. What is the nearest to u in w, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**3*v**2*x**2 + 3126*u**3*v**2*x + 1560*u**3*v + u**2*v*x - 6*u**2*v - 2*x**2 + 2*x wrt v.\nAnswer: 4*u**3*x**2 + 6252*u**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -498 + -1?\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 2*o + 4*y - 10, 0 = -2*y for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 + 6 = 2*i, -5*m = -i + 22. Let y be 0\/i*(-5)\/20. Suppose y = 2*g - 4*g + 96. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*d**3 + 3362981 + 372*d**3 - 3362957.\nAnswer: 278*d**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -10*v - 18. Let r(b) = -214*b**2 + 2*b - 12. Determine j(r(q)).\nAnswer: 2140*q**2 - 20*q + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/9 - (-8)\/72. What is the tens digit of (-2)\/b*(-477)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 43.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h + h - 2*h)*(-6 + 5 + 0) + (-21186*h + 43300*h - 18496*h)*(-1 + 0 - 1))*(1 + 2 - 4).\nAnswer: 7235*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 29. What is the remainder when w(11) is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28965?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.4, 6, -0.4, 2329?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0862 times -9?\nAnswer: 0.7758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 806, 5038, 12082, 21932, 34582, 50026, 68258?\nAnswer: 89272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -31*b - 59. Let n(d) = 6*d + 12. Let j(q) = -11*n(q) - 2*u(q). Is 15 a factor of j(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**2\/2 - 1. Let v(c) = 4*c**2 - 2*c - c + 3*c. Calculate y(v(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/19 - 10*a**3\/19 - 48*a**2\/19 - 8*a\/19 + 64\/19 = 0. Calculate a.\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.23, 2\/7, 19, -0.1, -0.2.\nAnswer: -0.2, -0.1, 0.23, 2\/7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + z = -3*z - 104, -2*j + z = -49. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1123 is divided by 311?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2203, -4406, -6609?\n\"Answer: -2203*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -285734 times 0.1\nAnswer: -28573.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -454*i**2 - 905*i + 467*i**6 + 905*i wrt i?\nAnswer: 56040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 221313065 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 99 = 5*k - 5*n, -2*n = -2. Let h = k - 9. Let t = -24 + 58. What is the greatest common divisor of h and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*g + 5994 = 16387, -25996 = -5*k + g. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2191*q. Let t(p) = p. Determine t(n(m)).\nAnswer: 2191*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8047*z**6 + z**5 - 2*z**3 - 997*z**2 + 3*z + 2?\nAnswer: 965640*z**3 + 60*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 10*b - 20. Let o(r) be the first derivative of 11*r**3\/3 + r**2\/2 - 2*r + 1. Is o(b) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 426341454 and 27.\nAnswer: 3837073086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*c = -909, -3*c + 4 + 2 = 0. Suppose 4*w - y = -61. Suppose 60 = 3*r - 60. What is the highest common factor of w and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -12. Let t be 0 + d - (-2)\/(8\/(-18)). Which is the nearest to t? (a) 1 (b) 0 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -313*z - 12. Let u(h) = 179662*h + 6886. Determine 3443*l(v) + 6*u(v).\nAnswer: 313*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.02 and -66578706964566.\nAnswer: -66578706964566.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 0.4 (b) -5 (c) 0.05 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 8, 30, 70, 134?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooyoauuykozzkkoooko. What is prob of picking 2 k?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -284*d**3*q**6 + 14*d**3*q**2 + 13*d**3 - 2*d*q**6 wrt q.\nAnswer: -34080*d**3*q**3 - 240*d*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f**2 + 8557330*f - 302837729 wrt f?\nAnswer: 8*f + 8557330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1536, 1534, 1532?\n\"Answer: -2*q + 1538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.390882 rounded to 3 decimal places?\nAnswer: 13.391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((162\/24)\/9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 5*q**4\/12 - 4*q**3\/3 - 9*q. What is the second derivative of y(h) wrt h?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2.2, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-22)\/1287*-3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45121.\nAnswer: 45121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 240597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 16*c**2 + 16*c - 17. Let u be q(-17). Suppose u = 30*g - 28*g - 2228. Suppose -27*v - g = -29*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 62*q**2 + 197*q + 43. Calculate c(65).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 686, 729, 790, 869?\nAnswer: 966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 89, 255, 707, 1589, 3045?\n\"Answer: 24*w**3 - w**2 + w + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8872 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and 624.\nAnswer: 6864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -79*v + 1412. Determine b(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 k when three letters picked without replacement from ykjyjokrky?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*g**4\/7 + 16584*g**3\/7 - 17189316*g**2\/7 + 7918544904*g\/7 - 1367928632166\/7.\nAnswer: -6*(g - 691)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((770\/(-21))\/10)\/(44\/6 + -7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*q - 0*q - 21, 4*q - 37 = 3*z. Suppose 9*b = q*b - 12. Factor 2*m - 5*m + b*m**3 - 2*m + 2*m.\nAnswer: 3*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -648467*m**3 - 210*m**2 + 196 wrt m.\nAnswer: -3890802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 91 = -12*s. What is the remainder when s is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1128304.887 - 1129002. Let l = g + 696. Let w = l - -0.223. What is w rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 405 + -409. Let i = 373\/55 + -33\/5. What is the nearest to w in i, -7, 1\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57285843 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - z**2 + 2*z - 6 + 4*z. Let m be q(4). Let c = m + 14. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -410 (base 5) to base 15\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102\/11 - 433\/55. Which is bigger: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -386301.4614 - -386269. Let f = d + 32.5. Let j = -0.04 + f. What is j rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9292800 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 582432 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 6. Suppose 2*l + p*g = 120, 5*g + 285 = 4*l + l. Let f(t) = 6*t - 372. Calculate the remainder when l is divided by f(64).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5192599 is divided by 370?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74404 is divided by 37193.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(10\/3)*l)\/((l*l**(-4\/3)\/l)\/l*l) assuming l is positive.\nAnswer: l**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472*a + 83*a + 75*a + 75*a + 80*a + 92*a + 72*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 17*d + 32. Let c be k(-13). Let n = 340 + c. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5) + ((-8)\/(-60))\/((-427)\/(-2196)). Which is the nearest to -1\/5? (a) 3 (b) i (c) 27\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 122. Is 13 a factor of 10\/(-3 + d\/(-26))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6557862.\nAnswer: 2, 3, 1092977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Let a = 8 + -4. Suppose 0 = -4*i - 2*y - 4, -5*y + a = -4*i + 14. Is i at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2056450 and -3.9.\nAnswer: 2056446.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -13, 2\/5, 3\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(200) + 2 + ((sqrt(200) + -2 + sqrt(200))*2)**2)*-3 + -5 + (sqrt(200)*-2*1 + 0 + 0 + sqrt(200))**2.\nAnswer: -9444 + 930*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -3 (b) 1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3581 plus -0.5?\nAnswer: -0.1419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b + 77. Let z be c(-10). Let d be 8\/z*(2 - 18\/8). Are 0.024 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*p**2 - 115*p**2 - 14*p**3 - 109*p**2 + 21*p**2 - 105*p**2.\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -800606 + 800606 + 4*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 4:28 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 8:27 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 1\/540*y**6 + 0*y**2 - 1\/540*y**5 + 0*y - 1\/54*y**4 - 2\/3*y**3 - 2. Let g(b) be the third derivative of c(b). Factor g(m).\nAnswer: 2*(m - 1)*(3*m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -327*f**2 + 379*f + 6. Let z(k) = 327*k**2 - 378*k - 4. Let r(i) = 2*o(i) + 3*z(i). What is the second derivative of r(d) wrt d?\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -5\/2, 4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 + 5317872*m + 2356646884032.\nAnswer: 3*(m + 886312)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115.0124 centuries to millennia.\nAnswer: 11.50124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -190*g - 1. Let n(u) = u**2. Give f(n(p)).\nAnswer: -190*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 18*o**2 - 10*o + 6*o.\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-17 + (34 - 23))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1280 by 128.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4347487.426 + -1\nAnswer: -4347488.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8560.3 times 7?\nAnswer: -59922.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 226886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*o**3 + 274*o**3 + 143*o**3.\nAnswer: 695*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2133280 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h + h - 7*h + (-638 + 638 + 75*h)*(-1 + 1 + 1).\nAnswer: 71*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 570 + 26 = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 9*c - 1. Let f be v(9). Is f at least 3\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3126, 3112, 3080, 3024, 2938, 2816, 2652, 2440?\nAnswer: 2174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127434140 minus -0.38173?\nAnswer: 127434140.38173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1432193 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23396013023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 10. Suppose 0*k + 35 = k. Calculate the highest common factor of g and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 132586*o**2. Let h(a) = a. Give h(d(z)).\nAnswer: 132586*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10222 - -3201113033?\nAnswer: 3201102211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 4*l - 26, -4*i + l - 1916 = -1926 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/18 in -6, 0.06, 3\/7, 3\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 10.37?\nAnswer: 10.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6 = p. Let j(x) = -x**3 + 4*x**2 - 4*x + 4. Let u be j(p). Let z = u - -5. Solve 4*d - 6 = z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 + 957\/7. Which is the closest to i? (a) -5 (b) 2 (c) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -127*w + 1330. What is the tens digit of i(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-874)\/(-57) - (-4)\/6. Calculate the greatest common divisor of s and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 2:16 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.235808 and -17749.\nAnswer: -17749.235808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32875963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-39 + 27 - -7 - (1 - 8))) + -5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 0*f**7 + 0*f**4 + 0*f + 0*f**6 + 11\/15*f**5 + f**2 + 45 + 43\/168*f**8 + 0*f**3. Find the third derivative of k(w) wrt w.\nAnswer: 5160*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6692 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -164694 divided by 3?\nAnswer: -54898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) -2 (c) -407.03 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 4559027.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/161 or 3?\nAnswer: -6\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -106*c - 803. Let i be d(-8). Solve 0 = -46*h + i*h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46638 and 180.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*j**5 - 5*j**4 - j - 26.\nAnswer: 240*j**3 - 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 585 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 263.62 to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 165*z**2 - 16*z + 2. Let b be v(-3). What are the prime factors of -7*(-3)\/(42\/4) + b?\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -6*s - 42, 0 = -9*s + 12*s - 7*s - 3*x + 42 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 702710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d. Let w(f) be the second derivative of 0 - 2*f + 0*f**3 + 0*f**2 + 1\/12*f**4. Give m(w(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -21*(-7 + (-336)\/(-49)). Suppose f - t*g = 931, -7*f = -2*f + 2*g - 4587. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37755873?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.067*0.01.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 230 + 35*w - 58*w + 517*w**2 + 677*w**2 + 387*w**2 + 20*w wrt w.\nAnswer: 3162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061251?\nAnswer: 61, 33791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9 = -0*x. Calculate the remainder when ((-6)\/7)\/((-384)\/(-56) - 7) is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708798386.\nAnswer: 2, 4919, 72047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1023 by -124.\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/460 and 33\/20?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**3 - 12*c + 14*c**2 - 9 - 2*c**3 + 3*c**3 + c**3. Let i be z(13). Which is greater: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 7*z**4\/4 - 1903*z**3\/2 + 129200*z**2 + 36992*z = 0?\nAnswer: -2\/7, 0, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -71*v - 484. Determine u(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216349052, -432698104, -649047154, -865396202, -1081745248, -1298094292, -1514443334?\nAnswer: -1730792374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = l - 2. Suppose -32*t = -19*t + 17*t - 30. Put l, t, -8, 4 in increasing order.\nAnswer: -8, t, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((t*t**1)\/t)\/t)\/t)\/t*t)**(-3\/11)\/(t*t\/t**5*t*t*t*t\/(t\/((t*t\/t**(-1\/3))\/t))))\/((t**2*t)\/(t*t*t**(1\/3)))**(-36) assuming t is positive.\nAnswer: t**(757\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/49*154\/(-22)*2\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(10\/13 - (-4)\/(-4)). Solve 18*z = g*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -2 (c) -3238 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 894882.6ns in microseconds?\nAnswer: 894.8826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1101.7 - -1101.78435. Round h to three decimal places.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**3\/6 + 5*z**2\/2 + 42*z. Let p be r(0). Solve p - 4 = 3*q + w, -q - 1 = w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10 (b) -5 (c) 668 (d) -1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -11*g**2 + 8. Let j(o) = 4*o**2 - 3. Let z(s) = 8*j(s) + 3*k(s). Let n(f) be the second derivative of 5*f**3\/3 - 17*f. Calculate n(z(c)).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 107123442 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + z - 1. Let h(i) = -3*i**2 + 8. Calculate -2*b(o) + h(o).\nAnswer: -o**2 - 2*o + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 + 1 - (-2130 - -2113)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3560554710 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361357711?\nAnswer: 11, 13, 89, 28393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3 + 16218*p**2 + 65885433*p + 1050019216 = 0.\nAnswer: -8101, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*m**3 - 819*m**2 - 480*m + 324.\nAnswer: -3*(m + 1)*(m + 54)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-240 - (-159 - -58)) + 54.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 4575?\nAnswer: 4575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1396 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: Find the second derivative of n**4 - 1517*n**3 - 231*n**2 - 23*n + 201823.\nAnswer: 12*n**2 - 9102*n - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1673 + 518 + 2909*k**2 + 77*k**2 - 790*k**2 + 6974*k**2 wrt k?\nAnswer: 18340*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/30 and 101\/1397175.\nAnswer: 2794350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 19*a - 145. Let v be o(6). Put 1, v, -4, 23 in ascending order.\nAnswer: -4, 1, v, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1308 by -3784.\nAnswer: 327\/946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39092 and 1320366.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 225*a**4 - 452323*a**3 + 7546448*a + 4?\nAnswer: 2700*a**2 - 2713938*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*n + 2*n. Let p = -13 - -21. Suppose 4*s - 2*g - p = 0, -g - 4 = 4*s - 6*g. Calculate the remainder when s is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*v + 167*v + 178*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v + 4. Let y = 0 - -5. Does 10 divide n(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 110110011101000101010?\nAnswer: -110110011101000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3507?\nAnswer: 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.22 - 0.42. What is the nearest to 0 in 8, 1\/7, p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5.8795722 nanoseconds?\nAnswer: 0.0000000000016332145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15 + 342\/24 - (-274)\/408. Which is greater: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 3:15 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (sqrt(288) + 2)*2) + -5.\nAnswer: -12*sqrt(2) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220112011 (base 3) to base 10.\nAnswer: 17878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - l**3 + 2*l**3 + (-2*l - 1 + 1)*(3 - 3 - l**2) - l**2 + l**2 - 3*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4485)\/364)\/15 - 6\/14. Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7872 divided by 6.\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*i, -2*u + 2*i - i - 1 = 0. Let t be 3 + -2 - u*2. Solve o - 2 = 4*k, -4*k - 6 = -3*o - t*k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 99, 672, 2169, 5034, 9711, 16644?\n\"Answer: 74*u**3 + 18*u**2 + u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478 - 1665 + 271 = -144*o. Calculate the remainder when 47539 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 2*p - 74, 0 = -p - 11256*m + 11261*m - 167 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1090918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009172405 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 2. Let g be w(0). Suppose -2*f + 12 = -3*l, 3*f = -g*f + 3*l + 12. Let p be ((f + -17)\/(-1))\/1. Calculate the highest common divisor of p and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d**3 - d**2 - d + 9. Let b(t) = 13*t**3 - 3*t**2 - 3*t + 19. Let q = -31 + 29. Let a(p) = q*b(p) + 5*j(p). List the prime factors of a(3).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000047335 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -5764 >= -44329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.8 + -20.8. Let w = 18.00000056 + b. Round w to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 14 - 4 = c, -5*c - 30 = -5*t. Suppose 3*g = -5*n + t*g + 185, 2*g = -2. Suppose -p = 3*p - n. Solve 3*k = -3 + p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/12620 and 45\/13882.\nAnswer: 138820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 63*w - 75*w + 62*w.\nAnswer: -76*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 145379\/51906*15 + (-41 - 1)?\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1 + 28\/(-21))*(8184\/176 - -27)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1987 + -1982. Which is the smallest value? (a) i (b) 42 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -49. What is the tens digit of ((-9)\/2 + f)*(-126)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5\/3 - 6*q**4 + 34*q**3 + 394*q**2\/3 + 140*q + 48 = 0.\nAnswer: -12, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10) - (-1386)\/(-495).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50202 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**3 + 601362*l**2 - 1202738*l - 1804098 = 0.\nAnswer: -300683, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 9 = -4*f. Suppose 0 = -q + f*q - 2. Let u = 3 - 2.8. Which is greater: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24050165\/14 - 1703038. Let k = -14837 + a. Find the common denominator of -21\/22 and k.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4308580700 rounded to the nearest one million?\nAnswer: 4309000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -801*z**3 + 3*z**2 + 3*z - 603. Let l(y) = 1596*y**3 - 7*y**2 - 7*y + 1205. Let p(k) = -3*l(k) - 7*m(k). Find the first derivative of p(w) wrt w.\nAnswer: 2457*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16264367 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 33*o + 70. Let h be m(-6). Let q = -71 - h. What is q rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 993820641, 993820640, 993820639, 993820638, 993820637?\nAnswer: 993820636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + 40. Let y be (-2724)\/8*j\/15. Let n = y + 1503. Calculate the common denominator of 12\/11 and n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/18 + (-4)\/(-12) - ((-4218)\/(-18))\/(-19)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, u: 17}. Give prob of picking 2 z.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -5. Let g(r) = -21*r - 3. Let v(s) = 21*s**3 - s**2 + s - 1. Calculate the remainder when g(f) is divided by v(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.44771 litres in millilitres?\nAnswer: 63447.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3017307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t**2 + 2*t + 0 - 1\/2*t**3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*y**4 + y**2 + 13*y**4 + 5*y**3 - 3*y**4 + (0*y**2 + 3*y**2 - 2*y**2)*(-2*y**2 + 2*y**2 + 2*y**2) + 0*y + 0*y - y**4.\nAnswer: -3*y**4 + 5*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, l: 6, c: 2, r: 1, f: 2, m: 1}. Give prob of picking 1 r and 2 c.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.1. Let q = 2292 + -8915\/4. Let u = -743\/12 + q. Which is the nearest to x? (a) -4 (b) -1\/8 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**8\/1176 + 13*x**6\/420 - 3*x**4\/7 + 361*x**2 - 2. Suppose p(v) = 0. What is v?\nAnswer: -3, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 725006.2ml in litres?\nAnswer: 725.0062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -28 in decreasing order.\nAnswer: 2, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*i = -246*i + 108. List the prime factors of 17847\/6*24\/i.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408658 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 762.757 + -760. Let l = 29.983 + y. Let c = 33 - l. Round c to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -428 * -11.\nAnswer: 4708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 12 = -10*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 10\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4*4*(-286)\/9009?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*-50*(-3)\/30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*c - 5*k - 12 = 204*c, -4*c - 27 = 5*k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4144 divide 971731981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 307074921 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -13*n - 39. Let q(r) = -6*r - 19. Determine 4*o(h) - 9*q(h).\nAnswer: 2*h + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*h*i - h*k**2 + 3*i*k**3 - 2*i*k**2 + 6*k**3 + 8*k wrt i?\nAnswer: 19*h + 3*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Suppose -5*x + 16 = 4*w, 0 = 5*w + 3*x + x - 11. Let h be (7 + -6)\/(w\/(-7)). Let s(z) = z - 4. Let v(r) = 1. Calculate h*v(q) + n*s(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10\/13 (b) -1 (c) 1\/3 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -359 + 1240. Calculate the remainder when z is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/246430 and -42.\nAnswer: 246430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-572))\/((-106728)\/(-231244))\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7210420?\nAnswer: 2, 5, 7, 51503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/120 + v**5\/10 + 5*v**4\/24 - 2*v**3\/3 - 21*v**2. Let j = -14 - -10. Calculate z(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3210 (base 4) in base 2?\nAnswer: 11100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15557545 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 8*f = 10*f + 25, 5*b + 25 = 4*f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 3 + 7*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(84)*-1 + (sqrt(84) - ((((sqrt(84) - sqrt(84)*-1) + sqrt(84) - sqrt(84))*-1 - sqrt(84)) + sqrt(84))))\/(sqrt(72)\/(-2*sqrt(96))).\nAnswer: -32*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**6\/180 + 2*p**5\/15 + 5*p**4\/24 + 2*p - 9. Factor h(n).\nAnswer: n**2*(n + 1)*(n + 15)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000111010110110101 (base 2) to base 8\nAnswer: 3072665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s - s + 3 - 1)*(-52 - 43 - 18) as j*s + y and give y.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -7. Let h(m) = -2*m**3 + 11*m**2 + 5*m + 6. Let i be h(6). Solve i*c + 4 = -c, -3*c - w = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -768, -784, -800, -816, -832?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -29. Let c(o) = 6*o**2 + 0*o**3 - o**3 - v*o + 4*o**2 - 4*o**2 - 3. What is the remainder when c(4) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**3 - 5*i**2 - 9*i + 3. Let u = -1 - 3. Let g(f) = f**3 + f. Let x(l) = u*g(l) - p(l). Give x(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*7\/(-14))\/(1 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2071*h - 1. Let m be j(-1). Let v = 4772 + m. Round v to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, z: 1, j: 3}. What is prob of picking 1 z, 1 j, and 2 g?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 + -0.94. Which is smaller: c or 374?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**2 + 2*d**2 + 5*d**2. Let k(z) = -16*z. What is k(g(n))?\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 6 = -2*k - 17, -3*v = k - 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + f - 1. Let c(d) = 3*d - 6*d**2 - 3 + 0*d**2 + 0*d + 29*d**3 - 31*d**3. Give -c(o) + 3*t(o).\nAnswer: 2*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5496 + -0.5796. What is the third smallest value in -4\/9, a, -1\/365?\nAnswer: -1\/365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*1*(-1 + sqrt(396))*-2*6)**2 + 1 + 3)*3.\nAnswer: -129600*sqrt(11) + 4287612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 4124010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(-11*q + 26*q - 14*q)*(-253*q + 106*q + 47*q).\nAnswer: -200*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 380260 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4033896932?\nAnswer: 2, 13, 77574941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwwwwwwwiwwwwwi. Give prob of picking 4 w.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 41 in descending order.\nAnswer: 41, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 2*k + 0*k**2 - 3 - 2*k + k**2. Let d = -4 + 7. Let g be o(d). Solve -b = g*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -5*p + 23, 33*i + 7 = p + 34*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**4 + 10*v**3\/3 + 19*v**2 + 6. What is the second derivative of u(t) wrt t?\nAnswer: -24*t + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 693056 and 96?\nAnswer: 2079168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 8:47 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11415*h**3 - 3301*h wrt h.\nAnswer: -68490*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 61*y + 3 - 23*y + 4*y**2 - 20*y - 18*y.\nAnswer: 4*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-2)*8\/(-4). Let u(k) = -k. Let y be u(-3). Let o = 224 - 223.7. Which is the third smallest value? (a) o (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 17 = 4*p, m + 2 = -0*m + p. Let h(n) = 5*n**2 - 1. Let g be h(m). Factor 4*f**2 - 5 + 0 + g*f - 3.\nAnswer: 4*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 543 + -541. Factor -2*g**4 - 167*g**2 - 36*g**3 - 350 - 57*g**u - 165*g - 287*g - 88*g.\nAnswer: -2*(g + 1)*(g + 5)**2*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*1 + (-8)\/42*-15?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -246 or -255?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 35*s + 253. Let k be 50\/35*(-4 - (-15)\/(-5)). Let t be q(k). Solve 2*l = t*f - 2*l + 5, -2*f + 3*l - 5 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12*a - 27. Let w(z) = 9*z + 27. Let c(i) = -2*q(i) - 3*w(i). Give c(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 3*q - 12 = 5*m, 4 = 4*q + m. Solve 7*d - 25 = q*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ympgmmymxmmgmeymx. Give prob of sequence gp.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 0 - 36\/(-18). What is the third derivative of -g**b + 14*g**5 + 2*g**5 + 13*g**2 - 2*g**2 wrt g?\nAnswer: 960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 20 + 7)*(1 - 2*u - 1).\nAnswer: 64*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 27*f**3 - 237*f**2 - 54*f - 19. What is y(9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/12*0)\/3. Let r be d - 3 - (-221)\/85. Let a = -10 - -4. What is the third biggest value in -0.1, a, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -354 by 1.\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13110 and 121505.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31974, -31975, -31976, -31977?\n\"Answer: -w - 31973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 9:48 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 equal to -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 346510*a**6 - 3190141*a**2?\nAnswer: 41581200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 - 3 = 3*g, 0 = 5*k - 5*g + 15. Let p be 17*((-6)\/(-2))\/3. Let z(t) = -p + 8 + 3*t**2 - 8*t - 4*t**2. Calculate z(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -1.4 (b) -6 (c) -2\/7 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2520999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -2, 1\/15 in decreasing order.\nAnswer: 3\/4, 1\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29946.41 milligrams to nanograms.\nAnswer: 29946410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 329 and 470.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 4*v**2 - 61*v + 235. Let q be x(8). Let p(h) = h**3 - 3*h**2 - 1. Let d(u) = 1. Let j(w) = 6*d(w) + p(w). Calculate j(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22950 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 161323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 78062 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 109804894 to the power of 1\/2, to the nearest integer?\nAnswer: 10479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, g: 3, f: 7, c: 4, d: 1}. Give prob of sequence decf.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 3*j + 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -154, -560, -1362, -2692, -4682?\nAnswer: -7464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14628, 27350, 40096, 52866, 65660?\nAnswer: 78478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 4. Let u = 0.52 + -0.12. What is the smallest value in u, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8402950 to the nearest 100000.\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2099455470?\nAnswer: 2, 3, 5, 7, 31, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -253*h**4 - 9*h**3 + 36572*h**2?\nAnswer: -6072*h - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/486 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002657 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((1 - -18) + 9 + -13).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 11*j - 5. Let l = -202 - -197. Determine f(l).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 345 or 321?\nAnswer: 345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*a = -53, v = 4*v + 4*a - 38. Suppose v*h - 817 - 3215 = 0. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -82*y - 1146. What is g(-13)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -244 - -22525?\nAnswer: 22241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15987 and -17.5.\nAnswer: -16004.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 6*a**3 + 3 + 90*a**2 + 2*a**4 - 88*a**2 to d*a**3 + w*a**4 + y*a + q*a**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 270, 0.06, -27\/2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 9*a**5 - 54*a**4 - 707*a**3\/3 + 49*a**2 - 7812. What is v in h(v) = 0?\nAnswer: -7\/3, 0, 2\/15, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -1. Let h = 7.86 - -151.64. Let z = h - 159. Which is the closest to 0.1? (a) z (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15\/2 (b) -19 (c) -204\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -29\/3*u**3 + 19*u**2 + 0 + 1\/20*u**5 + 0*u**4 + 0*u. List the prime factors of a(7).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13315 - -24690. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2678527726 to the power of 1\/3, to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 382482826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.76 (b) 1.0082 (c) 1.1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 48898924097.\nAnswer: 48898924095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**2 + 3*h*v**3 + 7*h*v - 25*v**3 - 1 wrt h?\nAnswer: 4*h + 3*v**3 + 7*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 411 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**29\/d*d*d\/d**(-9\/7))\/(d**5\/d*d)**(-38) assuming d is positive.\nAnswer: d**(1549\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 3*g = -12. Let u = 16 + g. Calculate the remainder when u is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 2, -10, -4558 in decreasing order.\nAnswer: 2, 0, -3, -10, -4558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**4\/4 - 176*g**3\/3 + 639*g - 556. What is the first derivative of t(m) wrt m?\nAnswer: -3*m**2 - 352*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18919*a**6 - 24512*a**2.\nAnswer: -2270280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2, 10*z = 13*z + 5*s - 382. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 <= 3053\/856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (140\/(-45))\/(24\/108)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 4*f - 1. Let a(n) = n**3 - 15*n**2 - 18*n + 30. Let q be a(16). Let r be l(q). Let z(y) = -y**2 - 5*y - 8. Determine z(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**5\/20 - i**4\/12 + 2*i**3\/3 + 3*i**2\/2 + i. Suppose 98 - 116 = 6*p. Give k(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 37 - 70 - 315*y + 79*y + 33. Let o(c) = -c**2 - c**2 + 3*c**2. Determine o(p(i)).\nAnswer: 55696*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 3*m - 3. Suppose 2*i - 4*r = 3*i - 3, i + 5*r = 3. Determine p(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.261 - 0.049. Let v = d + -0.09. Suppose 0*j - 4*j = -20. Sort j, v, 1.\nAnswer: v, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 4 + 2 + 5*i + 10. Is n(5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (83 - -1)\/3 - (-234 + 250).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1799 or -174528\/97?\nAnswer: -174528\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -112001?\nAnswer: -112004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 - 221*o**4 + 2*o**2 + 258*o - 266*o + 3 - 11*o**3 + 220*o**4 to u*o**3 + f*o + b*o**2 + s + p*o**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -6. Suppose -t + 3*t - j = 0. Suppose t*r = -r. Which is smaller: r or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 + f?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2076\/(-60) + 35 - (-6)\/15*4. Let l(p) be the first derivative of -5\/4*p**4 + 0*p**3 + 10 + 0*p + 5*p**g. What is the second derivative of l(n) wrt n?\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1934504 and 82992?\nAnswer: 81249168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -0.5444777683491.\nAnswer: 2.4555222316509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1398 or 1411?\nAnswer: 1411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*n = 83*n - 98*n - 137*n + 831 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 708 + -716. Let q be 370\/45 + k + 511\/9. What is the greatest common factor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 1. Let p = 0 + d. Find the third derivative of -2*t**4 + 2*t**4 + 0*t**4 - 3*t**2 - 5*t**p wrt t.\nAnswer: -120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 32133010?\nAnswer: 32133011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + (sqrt(176) - sqrt(176)*-2) + sqrt(176) + 5*(sqrt(44) - sqrt(176)\/sqrt(4) - sqrt(44)))\/(sqrt(144)*4*6).\nAnswer: 5*sqrt(11)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -57*m + 1. Let s be i(-2). Suppose 0 = 4*b - s - 33. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34932 divided by -164\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z = 65 + 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g - 17. Let m be i(-13). What is the highest common factor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05146 in -6\/5, -1288, -7?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence laga when four letters picked without replacement from {l: 5, a: 3, g: 3}.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 24 = 8*i. Let q(o) = -o**3 - 7*o**2 - 6*o + 3. Calculate q(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1862*p + 1866*p = -32, -3*h + 4*p + 41 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 15 = 4*x. What is the common denominator of -1*(-4)\/48*-134 and 217\/60 + x\/(-9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42905477 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/((sqrt(8) + sqrt(64)\/sqrt(8) + sqrt(8))*-6))\/(-4*1*(sqrt(3) - (sqrt(30)\/sqrt(10) + sqrt(3)))))**2.\nAnswer: 5\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*h - 29*h + 32*h = 371700. What is the highest common divisor of h and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 (base 9) in base 16?\nAnswer: f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9951 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2212b (base 12) to base 15.\nAnswer: -d572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 8, w: 4, a: 4}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -27653605 divided by 61\nAnswer: -27653605\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 672634 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, v: 1}. Give prob of sequence llv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706129 is divided by 54317.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**4\/2 + v**3\/3 - v**2 + 2*v. What is the tens digit of k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5*q + 30, 0 = -3*x + 4*q - 3*q + 12. Let f(b) = b + 5. Let c(v) = -1. Give x*c(l) + f(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-1 - -8) - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**5\/3 + 188*n**4\/3 - 926*n**3 + 1696*n**2\/3 + 116600*n\/3 - 73568 = 0.\nAnswer: -6, 2, 11, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1075, -2240, -3501, -4852, -6287?\nAnswer: -7800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 332 - 335. What is the fourth biggest value in c, -35, 0.2, -5?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 68*l**3 - l**2 + 7*l - 13. List the prime factors of o(2).\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**5 - 40*n**4 - 106*n**3 + 392*n**2 + 104*n - 352 = 0?\nAnswer: -4, -1, 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/1*43\/(6192\/(-64)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13 - 10)*(-3 + 1). Is a less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 6\/11, 862, 19?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -8, 2, 0, -100 in decreasing order.\nAnswer: 6, 2, 0, -8, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10297 is divided by 5138?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 5. Suppose -c = -5 - w. Calculate the remainder when c is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 10:48 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 54 = -17*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 + 1142\/15. Let r = 462 + -29108\/63. Let q = r - -193\/126. Which is the closest to 2\/5? (a) z (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*q + 1 + 62, k - 51 = 5*q. Let u = 43 + q. What is the remainder when 95 is divided by u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12563763*o**4 - 16390653*o wrt o.\nAnswer: -150765156*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -74322912 divided by -1548394\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-48)*(-50)\/175?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14428 = 50*c - 2*c - 2708. Solve -21 + c = -48*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 84*w - 31*w - 31*w - 26*w. Let t(d) be the second derivative of d**3\/3 + 6*d. Give y(t(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 729739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 5*l**2 + 7*l - 3. Let x = 10 - 14. Let t be 6\/(2*2\/x). Give j(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -222, 2, 7, -5, -323 in increasing order.\nAnswer: -323, -222, -5, -3, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p**17\/p)\/p)**(1\/21))**(1\/2) assuming p is positive.\nAnswer: p**(17\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/4 and ((-39)\/(-96))\/(2 + 41\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*x + 11, x = -x + 5*u - 11. Solve 2*v + x*v = 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - 91. Let x be y(28). Let g be (x - -5)\/(1*24\/9). Which is the nearest to 0.4? (a) g (b) 1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59223893?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 10614*j - 213480.\nAnswer: 3*(j - 20)*(j + 3558)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*m = -368*m + 224*m - 7120 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2.9, 2, 28.2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24439\/10116 + -2\/2529. Find the common denominator of s and 2 + 0 + (-186)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 8. Let q be j(-6). Let x = 1 - q. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*1*-2 + sqrt(132))\/(-5*2*sqrt(176)).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 14*h**2 + 8580*h + 43123. Give c(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81 + 82. Let q = -3 - -2. Let n be 0\/((-2)\/(-1)) - 2. Put f, n, q in descending order.\nAnswer: f, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - -4 - 49994\/16. Let p = r + 3119. Let j = -1019\/210 - -17\/30. What is the common denominator of j and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*q + 3*n + 29, 2*q + 2*n = 24. Find the third derivative of 81*u**4 - 35*u**4 - 28*u**4 + q*u**2 wrt u.\nAnswer: 432*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3\/8, 1\/2, -15\/2, 1\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1331433 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.81 + 0.01. Let i = d - -0.9. Put 0.4, i, 2\/9 in decreasing order.\nAnswer: 0.4, 2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -88?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13801, -15042, -17117, -20026, -23769, -28346, -33757?\n\"Answer: -417*b**2 + 10*b - 13394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -282 and -5565743312.\nAnswer: -5565743594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 59 = -j, 23 = 424*j - 423*j + 2*u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 359 - 358. Suppose -v = -3*v + 4. What are the prime factors of ((-43)\/v)\/(h\/(-2))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39715940 - -39782443.539. Let a = q - 66536. Let b = a - -31.9. Round b to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6950395 is divided by 55?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (54 - 58) + 38 + -2 + -8\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 3. Suppose 12 = 2*g + 4*u, 4*g - 10 = g - 2*u. Suppose -5*j + 7 + 6 = -m, 4*m + g = -5*j. Calculate the least common multiple of j and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174114028?\nAnswer: 2, 11, 29, 136453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2\/5 + 103*t\/5 + 102\/5 = 0. Calculate t.\nAnswer: -102, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*-1*20\/50 + 452. Suppose q - 1 = -6, -4*u + x = 2*q. Does 23 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1312286*-5\nAnswer: -6561430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1213*s + 3570 = -1208*s. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3455741898?\nAnswer: 2, 3, 7, 241, 317, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-62)\/(-8))\/(61*(-4)\/(-976)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -645638, -645647, -645668, -645707, -645770, -645863, -645992, -646163?\nAnswer: -646382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -33672 and 18908?\nAnswer: 52580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2873)\/104 + 28)\/((-9)\/4). Let b = 0.04 + -3.04. Let a = 3.06 + b. What is the nearest to -1\/2 in -3\/4, v, a?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s - 2*s + s + (-1 - 3 + 3)*(-16*s - 6*s - 17*s) - 2*s + 4*s + 3*s.\nAnswer: 47*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 2*x + 14. Let j be v(0). Suppose 13*b - j*b + 56 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 448*v + 98. Let m = 836 + -738. Let f(p) = 23*p + 5. Calculate m*f(j) - 5*i(j).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 = -466*u + 526*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -214374 + 366?\nAnswer: -214006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 148*v - 1219 + 4882 = 37*v for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -4*y - 84, 3*p - 33*y - 22*y = -3*p + 5*p - 44*y + 231 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 4:13 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-72))\/(1*(-6)\/(-12))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 330.53088 - 0.80088. What is l rounded to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(567) + 2 + -1 + sqrt(567))*-1)**2 + (5 + (sqrt(567) - (sqrt(567) - (sqrt(567) - sqrt(567)*2*2 - sqrt(567)))))**2 + 5.\nAnswer: -216*sqrt(7) + 18178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 28 = m - 4*y, -25 = -2*m - 5*y. Calculate the remainder when 79 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 0*p**6 + 6*p + 0 + 5\/56*p**8 + 0*p**7 - 1\/3*p**4 + 0*p**2 + 0*p**3 + 0*p**5. Find the third derivative of j(t) wrt t.\nAnswer: 600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**3 - c**4 + 16*c**4 - 5*c**2 - 2*c**3 + 3*c**2 to the form d*c**4 + i*c**2 + v*c**3 + q + b*c and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1218 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*l = 0, 6 = -j - 2*l + 4. Let f be j*(-3 - -4) + -46. Let s = f + 70. Solve v = -4*v - s, -4*v = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1038326752?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -28*y**2 - 3*y. Let h(s) = -234*s. What is w(h(d))?\nAnswer: -1533168*d**2 + 702*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-20)\/((g*g**(-1\/40))\/g))\/((g\/((g*(g*g**(-39))\/g)\/g))\/(g**(2\/7)\/g)))**(1\/5) assuming g is positive.\nAnswer: g**(-16993\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3474633 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1775)\/1420)\/((-30)\/(-8))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54425.\nAnswer: 5, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, t: 2, a: 9}. Give prob of picking 1 a, 1 t, and 1 i.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 0*m**3 + 0*m**4 + 11*m**2 + 0*m - 1\/30*m**6 - 1\/5*m**5 + 0. Factor q(x).\nAnswer: -4*x**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**7\/14 - y**6\/5 + y**4\/2 + y**3\/2 + 3*y + 3. Let z(r) be the first derivative of v(r). Factor z(w).\nAnswer: -3*w*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*o - 6*o. Suppose z + 2*n = 4*n - 1, 3*n = -5*z + 8. Is (z - 0)\/(o\/(-22)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 4*l - 10, 5 = -4*q + 5*q - 3*l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 76969.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -3349\nAnswer: 1\/3349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -508 - -187. What are the prime factors of (3\/(-9))\/(1\/x)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5208 = 5*m - 3*a, 2*m + a = 3121 - 1040. Let c = m + -722. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-10)*j*j)\/(j**(7\/5)*j*j))\/(j\/(j\/j**(2\/7))*j)**26)**(-27) assuming j is positive.\nAnswer: j**(42363\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*3289 - (-2128)\/(-152) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*3\/(-189) - (29104\/672)\/17.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*y + 7*y + 10*y + 8*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12233 + 48909 - 12228 - 12222 - 12223 - 8*q**2.\nAnswer: -8*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.9 + 11. Let f = 376 + -373. What is the second smallest value in y, f, -3, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23041255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*m = 6*b + 175, 4*b - 5*m = -107. Let t = 168 - b. Let q be t\/3 + 0 + 3. What is the highest common divisor of 28 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.3, -2\/17, 3.15, -0.06, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - v**2 + 2*v. Let w be g(0). Solve w = 5*i + 4 + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 1. Let s be k(4). Let l be (36\/(-45))\/((-1)\/s). What is the tens digit of 8\/l - -1 - -27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 1. Let q(o) = -3*o**2 + 4*o - 2*o**2 + 4 + 3*o**2 - o**2 - 2*o**3 + 0*o**2. Let d be q(-1). Let j(a) = -a**2 - 2. Determine d*j(z) + 2*f(z).\nAnswer: 2*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6*h**(-3\/2)*h**7\/h**(-2\/19))**(13\/2) assuming h is positive.\nAnswer: h**(5733\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w\/w**(-1\/19))*w**(1\/42) assuming w is positive.\nAnswer: w**(-821\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8455230 and 4831560?\nAnswer: 33820920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1608, 105, -5, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x - 4 + 4)*(-3*x**2 + 0*x + 0*x)*(-4*x + 2*x + 4*x) to the form r*x + v*x**4 + j*x**3 + g + i*x**2 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19917 rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 40 (c) 9 (d) 1153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 1 + sqrt(448)*-3 - (sqrt(448) + sqrt(448)*-4 + 2 + sqrt(448)) - (2*sqrt(4900))\/(1*(2*sqrt(7) + sqrt(7))))**2.\nAnswer: 40*sqrt(7)\/3 + 2809\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286476640.\nAnswer: 2, 5, 1790479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 z when three letters picked without replacement from {t: 2, z: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7084000 or -7083995?\nAnswer: -7084000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*b - 2*q, 5*q = -5*b + 17 - 2. Let p = -16 + 8. Let j = b - p. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1204)\/21*-4*30\/(-160)*-2?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 903*y**2 - 74615*y - 2432. What is u(-811)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgv when three letters picked without replacement from {v: 1, w: 2, g: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -352 and 0.087096.\nAnswer: -351.912904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-175)*(150\/(-4))\/(-15).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -238? (a) 2097 (b) 1 (c) 2\/5 (d) 4 (e) -0.3 (f) -13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 16*u**2. Let g(c) = 16*c**2. Let a(q) = -6*g(q) + 7*o(q). Let i(j) = 2*j**2. Give a(i(k)).\nAnswer: 64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000369649 rounded to six dps?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*t - 1334 = -6254 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17781 or 17780?\nAnswer: 17781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v + 13. Let y be n(0). Let a(b) = 9 - 22 - 2*b + y. Let t(z) be the second derivative of 8*z**3\/3 + z. What is t(a(u))?\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 7*r = -2, -555*r + 17 = -3*g - 557*r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 0 - 1*-4. Let n be 72\/27 + 2\/(-3). Suppose -2*j - w - n = h, 3*j - 16 = 4*w. Do j and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5734441520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1649 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - 6*f**4 - 1 + 3*f**4 + 2*f**3 + 5*f + f**4 in the form w + y*f + c*f**2 + n*f**4 + j*f**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164101770 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 12:11 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15440 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(-7) + 58*1\/(-1). Let f = -54 - c. Put f, 2, -1, -5 in ascending order.\nAnswer: -5, -1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30698 = 14*x - 4142268. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 196749, 196748, 196747, 196746, 196745, 196744?\n\"Answer: -x + 196750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428353803.\nAnswer: 3, 19, 347, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-126)\/(-1 + -2). Let v be -2*(0 - o\/4). Let d = v - 13. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1248.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*o + 66*o - 51*o)*(9*o + 8*o + 11*o).\nAnswer: -1036*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-9) + (-57)\/18)*(-30)\/255.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3831 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43\/3 - 125\/6. Calculate the common denominator of j and 5\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c. Suppose 3*g = -c*g - 3*u + 3, -2*u = -g + 7. Let t(q) = 1 - 3*q**3 + 2*q**3 + 2*q**2 - 2 + 2*q. What is t(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 - 44*u**2 + 45*u + 28. Let l be i(-23). What is the tens digit of (48 - l) + (-905)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.63, -0.15, -0.5, -2\/39, 1?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010689865 rounded to 6 dps?\nAnswer: -0.001069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 + -3 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.059, -3, -1\/3, 0.4 in decreasing order.\nAnswer: 0.4, -0.059, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dedxedxdd. Give prob of sequence xx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -276.1 + 270.1. Which is the second biggest value? (a) 12 (b) -2 (c) x (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (11 + (-3 - 13))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 3*a + 24. Let u be ((-4)\/a)\/(2\/60). Suppose u = g - 6*g - 5*x, -2 = 3*g - 4*x. Which is smaller: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -779 = -1036*p + 20977 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -18, -3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -14 + 8*t**2 + 5 + 9. Let s = -1 - -3. Let g(p) = p - p + s*p. What is g(d(i))?\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-30))\/(90\/(-75))*(-176)\/(-20)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/20838 and -33\/2416?\nAnswer: 166704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -6 (b) -14\/1045 (c) -518\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-1 - -3) - 2. Let y(a) = -a**3 - 8*a**2 - 3*a - 1. Determine y(c).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/20763 and 38\/93.\nAnswer: 643653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, n: 5, h: 2, f: 6, v: 1}. What is prob of sequence cfh?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6)*((-9)\/2)\/1. Let g(u) be the first derivative of 0*u**2 + 2\/3*u**3 + 3 - f*u. Find the first derivative of g(k) wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 8*h + 9 = 0. Suppose 104 = 4*y - h*j + 5*j, 0 = y + 5*j - 32. Calculate the remainder when y is divided by (-16)\/(-56) - (-136)\/14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2082, 2081, 2080, 2079, 2078, 2077?\nAnswer: 2076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.394219\nAnswer: 1.971095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10829?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6003 divided by 2001?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28715 is divided by 14355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -7, 11, 2 in increasing order.\nAnswer: -7, 2, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9381 - -8902. Suppose 4*p + 7326 = 2*t - 1808, -4*t + m = -3*p. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 16*t**2 - 6*t + 41. Let s be n(13). Let m = 476 - s. Solve 25 = -a + m*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2266?\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 165406384 divided by 82703192?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961 is divided by 315?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7712 + -7653. What is the closest to 1 in 0.1, -4, j, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 55 + p + 1.\nAnswer: p - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 2*z + 3*z + 2*k, -4*k - 180 = -5*z. Suppose 5*b - g = -5*g + z, 3*g + 4 = 4*b. Suppose q + 0*q - 17 = -4*r, 20 = b*q. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**3 - 248*c - 3*c**3 + 381*c - 510*c + 377*c.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 21. What is the greatest common factor of 55 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25*(-22)\/(-55)*(-176)\/44?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39\/83 or 0?\nAnswer: -39\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 1:54 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*m = 6, -156*t + 154*t - 4*m + 6 = 0. Solve t*o = k + 1 - 3, 0 = k - 4*o - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**3\/3 - 796*i**2\/3 + 22960*i\/3 = 0 for i.\nAnswer: 0, 35, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(13))*2)**2 - ((sqrt(130)*-1)\/sqrt(10))**2.\nAnswer: 55 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*b + 330 = 62*b - 360 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*-2*2\/3. Suppose c*m - 5*d - 37 = -5, 4*d - 24 = -3*m. Suppose 33 = -3*j + 4*o, 2*j + 52 - 38 = 2*o. What is the least common multiple of j and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 z when four letters picked without replacement from {z: 2, c: 1, p: 1, n: 4, h: 2, y: 5}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.67? (a) 0.4 (b) -0.215 (c) -4 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -140, -275, -410?\n\"Answer: -135*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*f - 57*f - 2*f**2 - 3 to the form n*f + j*f**2 + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-966)\/(-9) + 1 - (-1)\/(-3). Let y = 112 - v. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-4 - -3) + -4 - (-5012 - -5019)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-24))\/(8050\/3680)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven eighths of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600)*3 + sqrt(6))*2)\/(sqrt(21)\/(sqrt(847)*2)).\nAnswer: 1364*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 56 = 2*i, -3*y + 280 = -8*y - 63*i - 1348 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 863158*38\/8*-2. Suppose 5*j - 2*j - 11 = -5*v, 0 = -3*j - v + 7. Let m be j + a + (-1 - 0). Round m to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1901 + 6436. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34, 53, 60, 49, 14, -51, -152?\n\"Answer: -t**3 + 26*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, z: 1, t: 1, i: 1}. What is prob of sequence at?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**2 + 15*a - 5. Let z = -48 - -55. Let o be y(z). Let w = o - -248. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.8*0.0183.\nAnswer: 0.27084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 8296449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1717.83 - 1658. Let k = m - 59.2. Sort 0.1, k, 4 in decreasing order.\nAnswer: 4, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.0290292.\nAnswer: -0.00290292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**4 + 644*a**3 + 17184*a**2 + 106560*a = 0.\nAnswer: -12, 0, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1972 or 0.02?\nAnswer: -1972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 6051.978\nAnswer: 48415.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.574 + 0.554. What is the smallest value in -9, -0.2, 0, c?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*q**2\/5 - 228072*q\/5 - 228102.\nAnswer: 6*(q - 38017)*(q + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148458939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by ((-3)\/(-3))\/(-3 - 37\/(-12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 911, 3252, 7809, 15320?\nAnswer: 26523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -95.2.\nAnswer: 99.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 3*m - 14 = 2*f, -5*f + m = 22 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3488263 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y. Let c(p) = p**2 - 11*p + 13. Let o be c(9). Let u(a) = 7*a - 5. Let i(s) = s - 1. Let k(v) = o*i(v) + u(v). Give m(k(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4 + 177*l**3 + 831*l**2 + 1143*l + 486 = 0. What is l?\nAnswer: -54, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.015 - 0.245. Let y = 1.97 - r. Let s = y + -2.2000062. What is s rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -23360.\nAnswer: -23360, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000901383 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**2\/2 + 22*q - 3. Let c = 3 - -6. Let r be s(c). Solve -w = -3*i - r, -2*w = -3*i - 0 - 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q + q)*(5*q**2 - 4*q**2 + q**2) + 4*q**3 + 0*q**3 - 7*q**3 + 5*q**3 - 3*q**3 - q**3 + (-3*q**2 - q**2 + 5*q**2)*(3*q - 3*q - 2*q).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -132, -136, -142, -150, -160, -172, -186?\n\"Answer: -h**2 - h - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18384 is divided by 1094?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 5*o**2 - o**2 - 3*o**2 + 2. What is the tens digit of a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(1 - -1)*1. Let z be 1 - 0 - (l + 4). Suppose 3*h - 249 + 81 = -3*y, -z*y + 5*h + 144 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39629489 to the nearest integer?\nAnswer: 6295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 506 - 230. Let b = -24 + r. Is 30 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102000032 (base 4) in base 16?\nAnswer: 1200e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1456 and 9\/1820.\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**2 - 3*f + 1. Let t be i(2). Let a(l) = -2*l + l - 31 - 3*l - 19. Let u be a(-20). Calculate the highest common factor of u and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 208*a**2*l**2 + 8180*a**2*l + 2*a*l**2 - 2*a*l - 6*a - 10*l**2 - 2*l - 135 wrt a.\nAnswer: 416*l**2 + 16360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 55*w + 1635. Let t(o) = 3*o**2 + 78*o - 2452. Give -10*l(v) - 7*t(v).\nAnswer: -v**2 + 4*v + 814","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 631192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 - -114 - 41 - -50.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40880\/87 or 471?\nAnswer: 471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5227*i**3 + 10422*i**3 - 5175*i**3.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10*r = -15. What is the common denominator of -2*((-225)\/48 - r) and (-73)\/4*1\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 + 386. Solve 467 = -7*v + u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429611?\nAnswer: 7, 13, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31105 (base 6) in base 9?\nAnswer: 5615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 101*i**7\/21 - 47*i**4\/2 + 370*i. What is the third derivative of d(n) wrt n?\nAnswer: 12120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -72*(20\/(-3) - -2). Let m be (3\/2 + (-2120)\/(-80))*(-3)\/(-4). What is the greatest common factor of g and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -367.8452*0.2.\nAnswer: -73.56904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o - 160*o + 528587 = 0. List the prime factors of o.\nAnswer: 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231313030 (base 4) in base 9?\nAnswer: -315614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3350147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 72381?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1935564 and 6666.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -713882*s + 104829868 wrt s?\nAnswer: -713882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -4. Let v be ((-4)\/10)\/(-1*2). Let o(p) = p - 17. Let x be o(13). Put v, r, x in increasing order.\nAnswer: x, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -141.73005255228 and -18?\nAnswer: 123.73005255228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(68)\/sqrt(4)*2 - (sqrt(425) + 2)) + -4).\nAnswer: -18*sqrt(17) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -196, -0.5, -14, -0.2?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 52?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**3 - z**2 + 1. Let f be q(1). Let u = 8 - 12. Let g be 70\/(-28)*(-16)\/10. Sort u, g, f in descending order.\nAnswer: g, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10577285 divided by 5.\nAnswer: 2115457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36581.987 + 36552. Let x = 0.013 - q. Let d = x - 30.0000027. Round d to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11274124 is divided by 1287?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 47, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 232 + -227. Suppose m - 5*k = 43 - 1, 4*k = -s*m + 297. Calculate the greatest common factor of m and 798.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21 - 0.11. Let n = 0.712 + 1.288. Let l be (-1 - 0)*(-4)\/(-6). Which is the biggest value? (a) l (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 15*a**2 + 5*a + 5. Let l(w) = 8*w**2 + 3*w + 3. Let v(c) = 6*d(c) - 10*l(c). Let g(k) = -12*k - 6*k + 17*k - 3*k. Calculate v(g(s)).\nAnswer: 160*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 6:51 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -20*c + 285. Let k be 200\/c - -4 - (-4)\/12. Calculate the greatest common factor of k and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-15)*1*-3. Let g be 4 - -2*2\/u. Suppose g*p - 9 = 2*p. 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 the remainder when 870 is divided by 126?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -68. Let j = b + 31. Let g = 0.22 - -0.08. Sort g, 4, j in decreasing order.\nAnswer: 4, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127817430 divided by -1\nAnswer: 127817430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1 = 9. Put -8, w, -2 in ascending order.\nAnswer: -8, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7085\/9 + 18\/(-81). Let d = -408 + a. Suppose -3*m - 3*p = -231, -2*m + p + d = 3*m. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (738\/(-2460))\/((-9)\/35).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - u**3 + 2*u**3)*(29*u + 28*u - 8*u) - 5*u**4 + 0*u**4 - u**4.\nAnswer: 92*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 6*r - 558008*r**3 - 557996*r**3 + 1115998*r**3.\nAnswer: -6*r**3 - 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6011821?\nAnswer: 79, 76099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 17 = 3*o, o + 42*j - 43*j = 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2438.41 + 2417. Let d = 21.2 + t. Is d >= -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.06 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + 0. Let n = -2.8 + 3. Which is the nearest to -1? (a) m (b) n (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -13*r - 127. Let n(k) = 2*k**2 + 26*k + 163. Is n(r) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-122444)\/(-10) - (-3 + 17 + (-4526)\/310) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56\/5*b + 2\/5*b**3 - 2352\/5 + 44\/5*b**2.\nAnswer: 2*(b - 6)*(b + 14)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c**2 + 0*c**2 - 4*c**2)*(-c + 3 - 3) + 2*c**3 - c**3 - 3*c**3 + 3*c - 32615 + 32615 + 63*c**3.\nAnswer: 57*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -3\/5 (c) 2\/43 (d) 2\/3 (e) -10354\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 - 432 - 32*u**3 + 2*u - 46*u**3 + 79*u**3 to c*u**2 + j*u**3 + s + q*u and give s.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7 and 9.465.\nAnswer: 16.0905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 1098 + 3*d**3 - 1113.\nAnswer: 2*d**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 4\/23, -3?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-26)*18*(-84)\/36?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*h**2 - 29*h**2 - 24*h**2 - 11*h**2.\nAnswer: -26*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*g - 51216 = -2960 for g.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323407 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -16 - (-46 + 38).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5370*m**3*s**2 + 2*m**3*s*w - 1479*m**3*w**3 - 40*m**2*s**2*w**3 - 2*s**2 wrt w?\nAnswer: -8874*m**3*w - 240*m**2*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9*m**2 + 23. Let p be i(4). Let u = p - -102. Which is smaller: -20 or u?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83.042 + -83. Let w = r + -0.342. Which is the biggest value? (a) -2.3 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -158 + 1144*r - 157 - 159 + 474 to the form h + x*r and give x.\nAnswer: 1144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11\/6)\/z*z)**(-15\/8)\/(z*z*((z**(1\/47)\/z*z)\/z)\/z*z**(25\/2)\/z) assuming z is positive.\nAnswer: z**(-6079\/752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -28.997. Let s = 0.197 + g. Sort -5, -1, s, 0.\nAnswer: -5, -1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2227*j**2 - 748*j + 1 wrt j.\nAnswer: 4454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1883*s - 54877 - 44859 - 27042 = -10032 for s.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78*a**3 + 3*a**2 + a + 13447 with respect to a.\nAnswer: 234*a**2 + 6*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhg when three letters picked without replacement from {h: 4, f: 4, x: 1, g: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from koguggwugogguoog. Give prob of picking 3 u.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 906293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*h = 5*v + 10, -5*v = -3*h + 19. Let k(n) = -3*n + 1. Let o be k(v). Calculate the highest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5589 and 26339094.\nAnswer: 1863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-18)\/4*8\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6\/5))**(-50)*(h\/h**(-7))**(5\/13) assuming h is positive.\nAnswer: h**(820\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 2*p**2 + 3*p)*(-3 + 4 - 3) + 7*p**2 - 3*p**2 + 3*p**2 - 3*p**2 + 4 + p - 2*p**2 - 5.\nAnswer: 6*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-2)\/(-8))\/(((-4794)\/1836)\/47)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 + 2*m**2 - m. Let b be r(1). Let i be (0\/(-2 + b))\/1. Factor 2*x**3 - 3*x + 2*x**2 - 2*x**4 + i*x + x.\nAnswer: -2*x*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4))**(27\/4) assuming c is positive.\nAnswer: c**(-27\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, 4, -3.\nAnswer: -11, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 8 = 4*u. Let k(i) = i**2 + 2*i - 6. Let l be k(-5). Suppose l = -5*g - 1. Sort g, u, -5.\nAnswer: -5, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n**(-1\/4)\/n)\/(n**(1\/2))**45*((n**1*n)**1)**(-24) assuming n is positive.\nAnswer: n**(-307\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 minutes after 1:01 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01 - 0.31. Let y = j + 0.5. Which is the third smallest value? (a) -0.2 (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 5:35 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/3))\/s)**(-4\/17)\/((s*s**9)\/s**(-1\/6)) assuming s is positive.\nAnswer: s**(-351\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 294.4747 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -5\/43, -0.5, -1, -2, 4\/45?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -1494*n. Let c(p) = -7*p. Determine k(c(q)).\nAnswer: 10458*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**3 - 7*u**2 + 12*u - 1. Let w be y(4). Let m = w + -25. Suppose -11*f + 17 = -m. Solve -a + i = -2 + 7, f*i = 3*a + 23 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/50 of a second?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 7*p - 6. Let t be i(-6). What is the remainder when 204\/14*1*7 is divided by (30 - t) + (17 - 21)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-80)\/(-15))\/(-2))\/(1\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*x**2 + 71*x**2 - 291*x**2 + 74*x**2 + 74*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 15) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, f: 7}. Give prob of sequence fq.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -1, -1.4, 14?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 98.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -219, -6, 14, -65 in descending order.\nAnswer: 14, 0, -5, -6, -65, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31909.17 + -31909. Sort r, -0.08, -2\/23 in descending order.\nAnswer: r, -0.08, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1378150 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.883 + -0.84. Let t = f + -0.043. What is the nearest to 7 in -3\/8, t, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 516958.6423321 - -53.\nAnswer: 517011.6423321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 3\/2, -28\/13, -2, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293*b = -289*b - 1140. Is 29 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7636 + -298?\nAnswer: 736b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/35)\/(10619\/1813)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2.1. Sort 3, w, 2\/5 in increasing order.\nAnswer: w, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3655166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002474231209 rounded to 7 dps?\nAnswer: -0.0024742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 15*l - 12. Let y be i(14). Suppose 5 = j - y*q, -j - 4*q + 15 = 2*j. Suppose -a = j*a - 114. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/5)\/(4\/(-20)). Let h = 8 + -5. Suppose 16 = h*y + y. Solve -5*j - i = t, -2*t - y*j - 10 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**5 - 160*r**4 - 634*r**3 + 388*r**2 + 631*r - 228 = 0?\nAnswer: -4, -1, 1\/3, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2 - (-3 + 17)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1441?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 less than -287151?\nAnswer: -287150.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*7\/(-2)*1*(6004\/133 + -45).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -5 (c) 0.15 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.056 + -0.856. Let n = k + 1.1. Let p = -8.3 - -8. Sort p, -2, n in decreasing order.\nAnswer: n, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 11720*l + 46960.\nAnswer: -5*(l - 4)*(l + 2348)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 617*i*z**3 - 60*i*z**2 + 5*i*z - 2*i - 3*t*z**4 + 419*t*z**2 - 14*z**5 wrt z.\nAnswer: 3702*i - 72*t*z - 840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 3:40 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 7. Suppose -35 - 109 = -24*d. Let r(o) = -11*o**2 - 3*o - 4. Let c(m) = -9*m**2 - 2*m - 4. Let t(n) = d*c(n) - 5*r(n). Determine t(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6236 or 3?\nAnswer: -6236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 - -41. Find the common denominator of -1\/6 and (h\/(-24))\/((-1)\/39).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/3 and -13\/2680?\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, -4, -8, 0, -14 in increasing order.\nAnswer: -14, -9, -8, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 15*z**2 + 147*z - 3060 = 0.\nAnswer: -20, 51\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 42*w + 3777. Let y be g(-90). Let v(q) = -q**2 - 3*q**2 - q**3 + 3 - 3*q - q**2. What is v(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-88)\/11)\/(-16)*(-6)\/(-22)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 + 17*j**4 - 8*j**4 + 2*j**3 - j - 10*j**4 - 2*j**2 + 2 in the form r + t*j**4 + k*j + a*j**3 + m*j**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1568, -3142, -4718, -6296, -7876, -9458?\n\"Answer: -w**2 - 1571*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -79. Suppose -3*u = 2*j - 155, -f*j + 5*u + 137 = 2*u. Calculate the remainder when j is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.663331 millimeters to nanometers.\nAnswer: 9663331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19108\/3 - -6371. What is the nearest to -1 in 1.92, q, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o - 5. Let p be q(5). Let j = 109\/5 - 337\/15. Which is the third smallest value? (a) p (b) j (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/(-2))\/((21\/(-18))\/((-84)\/(-90))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(2\/17)))\/(l*l**8*l)*l**11*l\/((l\/(l*l**(1\/4)))\/l) assuming l is positive.\nAnswer: l**(229\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 7, x: 6}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b - 4. Let a(p) = -p**3 - 8*p**2 - 6*p + 6. Calculate the remainder when a(-8) is divided by i(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.185388 * -56\nAnswer: -10.381728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/13 - 2*p**4 - 44*p**3\/13 + 4*p**2\/13 + 46*p\/13 + 22\/13 = 0. What is p?\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6))**49*(v*v\/(v\/(v**(-7\/5)*v)*v)*v*v)**27 assuming v is positive.\nAnswer: v**(-1254\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 191479677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397699291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -288*i**3*r**3 - 236*i**3*r - 9*r**3 + 10*r wrt r.\nAnswer: -1728*i**3*r - 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26869725 and 109350?\nAnswer: 6075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 20953 - 22893 = -23*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 8. Let g be p(-8). Let a be g\/(-10) - 1*-15100. What is a rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5*l = -15, 5*l = 2*q + 6*l - 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 644\/1449*21\/84?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875782847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5))**(-8\/7)*(u*u**2)\/(u\/(u\/u**10)) assuming u is positive.\nAnswer: u**(-229\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 7 + 1. Suppose -5*n + 44 = w - 10, -3*w = -2*n + q. Let d = 132 - 112. Calculate the greatest common divisor of n and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 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 w = -5 + 8. Suppose -4*i = 3*m - 17, m + w*i - i = 7. Solve 3*l + 16 + 0 = -2*y, -m*y = -5*l - 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*3*-1)\/((-130)\/130)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2622 - -3968. Let u = x + -707. List the prime factors of u.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101123 - 313?\nAnswer: 100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(165\/22)*75\/(-24)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**7\/420 + t**4\/6 + 4*t**3\/3 - 3. Let o(b) be the third derivative of m(b). Differentiate o(i) with respect to i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/12)\/(2\/(-4)). Let m = -1217 - -1212. Let u = -0.8 - 1.2. Sort w, u, m in ascending order.\nAnswer: m, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2200312 (base 7) to base 6\nAnswer: 5433404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 414050401 - -1?\nAnswer: 414050402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26\/11 + 163\/55. Suppose 5*p + 15 = 0, p = 3*v - 3 - 78. Sort i, v, -2\/13 in descending order.\nAnswer: v, i, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 25063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-15) - 34\/85.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.7185556 to the nearest integer.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a - 2. Let c(g) be the second derivative of -g**6\/240 + 25*g**4\/4 - 7*g + 1. Let h(f) be the third derivative of c(f). What is s(h(j))?\nAnswer: 12*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2141001*-5.\nAnswer: 10705005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10111?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -23949 * 1.4\nAnswer: -33528.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, j: 1, e: 2, p: 1}. What is prob of picking 1 e and 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 214889490 divided by 645\nAnswer: 333162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*(-4)\/((-12)\/51)*2 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12231*f**4*h**2 + 23*f**4 + f**2*h + 2435*f*h**2 - 4*h + 18 wrt f?\nAnswer: -293544*f*h**2 + 552*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4715 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m - 3*m**3 + 1\/2*m**4 - 20*m**2 + 0.\nAnswer: m**2*(m - 10)*(m + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-2\/7)*s*s)\/(s**(-4)\/s))\/((s*(s**0\/s)\/s)\/(s\/(s**(-2\/5)*s*s))))**(3\/28) assuming s is positive.\nAnswer: s**(213\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aksawaasaaas. Give prob of sequence askw.\nAnswer: 7\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 4, -12 in increasing order.\nAnswer: -16, -12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-17) + 1785\/2023)*(-1)\/23?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + (-31 - -11) + 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Let s = 1163\/6 - 381\/2. What is c in -s*c**4 - 4\/3 + 34\/3*c**3 - 4*c**5 - 14\/3*c + 2*c**d = 0?\nAnswer: -2, -1\/2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*w + 33*w - 2130. Let h = 114 - w. What is the smallest common multiple of 9 and h?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**4 + 5418*o**3 - 1270 with respect to o.\nAnswer: -4*o**3 + 16254*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*o = 10, -3*o + 2 = d - 3. Suppose d*t - 66 = j, -6*t + 5*j = -10*t + 47. Solve 0 = -3*n - t + 19 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -438*w + 111*w - 181*w + 11684 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -4, -2, 5 in descending order.\nAnswer: 5, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31471 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i + 47*i - 19*i - 13*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2702389 or -2702390?\nAnswer: -2702390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, c: 13, i: 2}. Give prob of picking 2 i and 1 c.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -1\/11 (c) 1\/3 (d) 151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r + 5*r - r in the form x + v*r and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -0.6, 0, -0.5, -1.15 in decreasing order.\nAnswer: 0, -0.01, -0.5, -0.6, -1.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-4))\/((-3)\/12). Suppose -w*h + 76 = 16. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34632 + 34632.0018327. What is b rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*s**2 - 4 - 3 - 19*s**2.\nAnswer: s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/6555 and 77\/14145.\nAnswer: 268755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34996603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110101010110 (base 2) to base 7.\nAnswer: -12645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 615 (base 9) to base 5.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000664 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 178 divided by 2\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 280\/39 greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 43 = -118. Let k(q) = q**3 - 2*q**2 + q - 4. Calculate the remainder when p is divided by k(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**3\/6 + 16*i**2 - 8*i. Is y(0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) -1 (b) -3.3 (c) -2\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30332810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-3 + 2) - 2. Let q(c) = -c**3 - 5*c**2 + 7*c + 10. Let x be q(z). Factor -5*d**2 + 19*d + 7*d**4 - 2*d**x - 5*d**3 - 14*d.\nAnswer: 5*d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 858 + -858.3. What is the closest to m in 2, -1\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a + 3*a**2 - 6*a + a**2 - 4*a**2 + 4*a**2 + (-3*a + 3*a + 2*a)*(-2 + 2 - a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*t + 2*t - 14, -2*x - 1 = -t. Let w(m) = -m - 6*m + 2*m - x + m. Calculate w(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 13*o + 35. Let v be o + 1 - 35625\/(-1062). Let f = -8\/177 + v. Calculate the common denominator of f and -23\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewt when three letters picked without replacement from {w: 1, j: 4, e: 1, t: 1, d: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**4\/12 - h. Let j(g) be the third derivative of -g**4\/12 + 2*g**2. Determine k(j(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 3:18 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.184 + -89.316. Let z = -90 - r. Which is the closest to 2? (a) 1\/4 (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3147464 divided by 393433?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/132675 (b) -3\/4 (c) 60 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170.01375 months to years.\nAnswer: 14.1678125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**4 + 9*b**5 + 5*b**4 + (-2*b + 3*b + 0*b)*(6*b**4 - 2*b**4 - 3*b**4 - b**3).\nAnswer: 10*b**5 - b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -205.\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.0942 centimeters to nanometers.\nAnswer: 390942000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74275.441 - 74197. What is x rounded to 1 decimal place?\nAnswer: 78.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363021.\nAnswer: 3, 121007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/84 - 45\/210.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 87*(0 - 1). Let x = -56 - q. Calculate the greatest common divisor of 28 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 1. Let d be h(-2). Suppose -w - 3*r + 20 = d*w, w = -5*r + 22. Let c be 4 + (0 - 2) + 0. Are w and c unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 106*y + 1250. Give m(17).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18092525, -36185047, -54277569, -72370091, -90462613?\n\"Answer: -18092522*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -5*b**6\/8 - 13*b**5\/60 - 5*b**4\/24 - 10*b**2 + 3*b. What is the third derivative of g(i) wrt i?\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 10*j**2. Suppose -4*c - 23 = 17*h - 18*h, -5*h = 3*c - 46. Let d(t) = -1 - 2 + 3 + h*t**2. What is d(b(i))?\nAnswer: 1100*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 5*q - 2. Let b be m(-4). Let f be 110\/88 + (-3)\/12 + 1. What is the tens digit of 9 - -10 - f*b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 166 + 84*k + 172 - 419 + 63. Let a(z) = -z. What is a(v(n))?\nAnswer: -84*n + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwuu. Give prob of sequence uuwu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/5 - 6*i**4 + 54*i**3 + 286*i**2 + 492*i\/5 - 432 = 0.\nAnswer: -20, -3, -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k + 7*k = -248 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4664 + -4663.82. Let c = 11\/20 + -4\/5. Sort -3, c, q.\nAnswer: -3, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 23*m + 660. Is g(-53) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 21. Let a be u(-17). Solve a*g = 20, 2*g - 2 = 2*t + 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, r: 4, m: 6}. What is prob of picking 3 r?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(9\/(72\/(-16)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -14664446?\nAnswer: -14664444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 12:04 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -67 + 64 - (0 - (4 + -1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 2. Let y(k) = -4*k - 14. Let z(j) = -6*b(j) + y(j). Let g(u) = -2*u + 3. Let i(v) = 2*g(v) + 3*z(v). Let l(p) = p**2 - 30*p. Give i(l(s)).\nAnswer: 2*s**2 - 60*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - m = -2*m - 13, 2*i + 2*m + 10 = 0. Let z = 13 + i. Calculate the smallest common multiple of ((-2)\/(-3))\/((-4)\/(-42)) and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-105)\/25 - 2\/10. Solve 0 = w*g + 2*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 - 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*g + 608011*c*g*r + 70*c*r + 3*g*r - 4716*g - 280*r wrt c.\nAnswer: 3*c**2*g + 608011*g*r + 70*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/4 and (-2483)\/(-856) - 25\/(75\/9).\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6263.9568 seconds?\nAnswer: 1.739988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1371, 2828, 4285?\nAnswer: 5742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42500)\/(-272)*273920\/2. Round d to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/((-18522)\/(-180))*3*8\/(-60).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*i - 6, 0 = z + 3*i - 7 - 2. Suppose z = 5*s - 12 - 143. Calculate the smallest common multiple of s and (3 + -1)*144\/96 - (-1 - -1).\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127 - 127. What is the closest to 15 in q, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3168)*-3)\/(sqrt(242) + (sqrt(242) + sqrt(242)*1)*4).\nAnswer: -12*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 11*c + 9. Let r(u) = 6*u + 4. Give 5*r(h) - 3*t(h).\nAnswer: -3*h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 563309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*f = -42 + 176. Solve -2*c - 11 = -5*z + 10*z, z - 1 = -f*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -33 + 0 + -3 + (761 - 779)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -570243 or -570246?\nAnswer: -570246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1003014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8602 and 740554?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-2))\/(8\/(-108)). Let j = x - -30. Let d = 15 - j. What is the remainder when 46 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(275)\/(sqrt(5)*2)*-6)\/(sqrt(132)\/(sqrt(120)\/sqrt(360))*-6).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**3 + 7*i**4 - 9*i**4 - 7*i**4 + (13*i**3 + 5*i**2 - 5*i**2)*(2*i + 2*i - 5*i) to the form p*i**4 + b + w*i + l*i**3 + g*i**2 and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from rvkvfvivkkvv.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 5. Let j(h) = -1. Let d(u) = -3*j(u) - k(u). Let a be d(-8). Solve 0 = -4*y + 8 - a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286\/(-42) + 6 + (-45)\/135?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 6 - 4. Suppose 2*x + 3*o - a*o - 37 = 0, 4*x - o - 65 = 0. What is the remainder when (-15)\/(-4)*(-160)\/(-12) is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**6\/120 - i**5\/60 + i**4\/6 - i**3\/2 + 14*i**2. Let s be c(-3). Solve 0 = -s*m + 2*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 5:03 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.0545 to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6303 and 3409329.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 104 + 92. Solve -q = c + 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102400088.\nAnswer: 2, 7, 83, 22031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbxa. What is prob of sequence ax?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6438274871 and 0.4715.\nAnswer: 6438274871.4715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 37. Calculate y(12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 71*y**2 - 133*y + 413. Let p be m(-69). Solve 18*z - p = 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510953 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44044100 (base 6) in base 13?\nAnswer: 36c4cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89194.53mg to nanograms.\nAnswer: 89194530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/15, 3\/5, -741, -1\/88, 4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 1 (b) 6.7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59854.\nAnswer: 2, 29927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110683 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 67964100 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 + 5*u**2. Let n = -240 - -242. Let g(s) = -s**2 - 1. Give n*g(r) + x(r).\nAnswer: -2*r**3 + 3*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a day in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41051203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 68, 72, 88, 122, 180, 268, 392, 558?\n\"Answer: q**3 - 3*q + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(8*(-1)\/(-152)). Let w = -24 - -26. Solve 0 = 2*z - 5*y + 20, -3*y = -3*z - w - i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -205 (base 9) to base 11\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-13)\/j*j)\/(j\/j**(-3\/8)*j) assuming j is positive.\nAnswer: j**(-123\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -194 - -197. Is 8 a factor of (i - 1 - -87) + (-2)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l. Suppose 5 + 9 = 7*q. Let c(g) be the first derivative of 0*g + 0*g**2 - 1\/3*g**3 + q. Give c(m(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 175, 358, 545, 730, 907, 1070, 1213?\n\"Answer: -s**3 + 8*s**2 + 166*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*m + 78*m - 121*m)*(-2*m - m + 2*m)*(0*m - 5*m + 4*m - 5 + 5 + m + (-2 + 2 - 2*m)*(5 - 4 - 3) + 4*m - m - 5*m).\nAnswer: -50*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676 is divided by 15\/(-35) - (-11835)\/(-21)*(-38)\/95.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + 0*y)*(4590*y**2 - 33499*y**2 + 18242*y**2).\nAnswer: 32001*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/21154460 and -2\/415.\nAnswer: 1755820180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1149502.\nAnswer: 2, 29, 19819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -2) + 1 - -164. Let f = o + 143. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 125119741 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 8*k**2 - 9*k + 5. Let w be o(-9). Let n be w\/(-175) + (-2)\/5. Let d(f) = f**2 - 2*f + 1. Let j be d(1). What is the nearest to -2 in n, -5, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/2381 in 120, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 36*o + 650. Let j(f) = 22*f + 325. Let g(n) = 5*j(n) - 3*q(n). Let y(l) = -l. What is g(y(p))?\nAnswer: -2*p - 325","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/9)\/b**(2\/125))\/(b\/b**(5\/2))**27 assuming b is positive.\nAnswer: b**(90089\/2250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6\/12)\/(1\/(-2))*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 0, 2, 1590 in descending order.\nAnswer: 1590, 51, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 - 3. Calculate the highest common divisor of y and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001692 rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (1 + (-10)\/(-3)))\/(12\/(-643743)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37858 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*a**2 - 33*a**2 + 16*a**2 + 25*a**4 - 2 to d*a + m*a**4 + n*a**2 + t*a**3 + v and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - 0.2. Let q = 95 + -284\/3. Which is the closest to 0.1? (a) 2\/3 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.8 - -22. Let z be (-6)\/9 - 7\/(-6). Put f, -6, z, 3 in descending order.\nAnswer: 3, z, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -373\/9 or 0.37?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + 122?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -71*x**2 - 6*x + 155. Let l(a) = -a + 2. Let n(h) = 6*l(h) - u(h). Find the first derivative of n(q) wrt q.\nAnswer: 142*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10518.659 to the nearest integer.\nAnswer: -10519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (24*(-20)\/3240)\/(2\/(-18))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3\/7 - 52648*o**2\/7 + 947321*o\/7 + 999970\/7 = 0. Calculate o.\nAnswer: -1, 19, 52630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2770242552.\nAnswer: 2, 3, 7, 11, 166561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 33 + 3*v + 5*v**2 - 3*v**2.\nAnswer: 2*v**2 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -23 - (3 + (-1 - -2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t - 4 = -4*s, 0 = s - 3*t + 13. Let m(y) = -2*y**3 + 2*y**2 + 4*y + 3. Let i be m(s). Solve -3*q = p + 4, -2 = q - i*p + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674295037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11*p + 26. Let u be (-9)\/(2 + -1) - (-4 - 0). Let s(k) = 7*k + 17. Let c(o) = u*f(o) + 7*s(o). Let y(q) = 2*q + 4. Calculate -6*c(l) - 17*y(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.28024 - -0.28. Round m to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(240)*-6)\/(sqrt(972)*1))\/(4*(1*sqrt(160) + sqrt(160)) + sqrt(160) + (sqrt(160) - -3*1*sqrt(160)) + sqrt(160)).\nAnswer: sqrt(2)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2 + 0*k**2 + 6*k**2 + 14*k**2 + 9*k - 13. Let y(r) = 4*r**2 + 2*r - 3. Calculate -6*w(x) + 26*y(x).\nAnswer: 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from eeffeeeeoofef.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**5\/20 + 2*v**4\/3 + 2*v**3\/3 - 13*v**2 + 2*v + 25. Is h(7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/4 - v**3\/4.\nAnswer: v**3*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 3, 2\/9, -0.8, -443, 1529 in ascending order.\nAnswer: -443, -0.8, -2\/5, 2\/9, 3, 1529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 13 + 6 - 36*r**2 - 14*r**2 to the form h*r + v + u*r**2 and give u.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 2*r**2 + 36*r - 9. Let n be b(7). Let k = n - -646. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/4)\/(3\/(-8))*(-52785)\/28152?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448, -729, -1134, -1723, -2556, -3693, -5194, -7119?\nAnswer: -9528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15423 (base 6) in base 3?\nAnswer: 10110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 + 18*q**2 - 9*q**4 + 11*q**4 - 18*q**2 - 9*q to p*q**4 + m + y*q**3 + z*q + v*q**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + -4 + (sqrt(245) + 2 + 2)**2).\nAnswer: -256 - 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 3\/2, -20, 4, 1\/10?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 14, -64, -176?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*m = -427*m + 11*l + 119, -4*m + 40 = -4*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222 and 222.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, w: 2, i: 3, q: 1, x: 2, m: 2}. Give prob of picking 1 t, 1 i, and 1 q.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4445 - 4426. Calculate the remainder when 40 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(((b*b\/b**(-11))\/b*b)\/b)\/b*b)**(5\/14)*(b*b\/(((b**(-2\/9)*b)\/b)\/b))\/((((b\/(b*((b**34\/b*b)\/b*b)\/b)*b*b)\/b*b)\/b)\/b*b) assuming b is positive.\nAnswer: b**(5023\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4311 + 4396. What are the prime factors of u?\nAnswer: 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43, -170, -381, -676, -1055, -1518?\n\"Answer: -42*g**2 - g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)*z)**(21\/8)\/((z\/z**2)\/z**(-1\/3)) assuming z is positive.\nAnswer: z**(-299\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5707, 5695, 5681, 5665, 5647, 5627?\nAnswer: 5605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 899\/344 - 21\/43. Find the common denominator of (-74)\/6*1\/2 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1355175.9 and -0.5.\nAnswer: -677587.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*g - 13 = -0*g, 0 = -2*m + 5*g - 22. What is the nearest to 1 in m, -3\/5, -10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28144\/1155 - 1982\/105. Let w = b - 27\/5. Let g = -16.61 - -1.61. What is the nearest to 1\/2 in w, -0.5, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p + 235559 + 188463 = 26292. What are the prime factors of p?\nAnswer: 2, 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1446901513?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49803 + 5509 = -4*r + 2*m, -13817 = r + 5*m. Is r\/(-6) - 2\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*p - 10, 28*p = -3*k + 33*p + 52. Solve k*z + 36 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*j + 1782 = 59*j. What is the greatest common divisor of 531 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 4:18 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g = -437 + 2641. Suppose g - 478 = -6*m. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + x - 14, 55*x + 14 = -2*z + 58*x. Solve 0*i - 32\/9 + 2\/9*i**z = 0 for i.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6512 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**4\/7 - 185*b**3\/21 + 150*b**2\/7 + 3764*b. Solve g(s) = 0.\nAnswer: 5\/6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -2, 12, 4 in decreasing order.\nAnswer: 12, 5, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 986113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43311623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 + 2*a**2 + a - 4. Let f be t(-2). Suppose 6*g - f = 6. Suppose 0 = o - g*d + 8, 18 = -5*o - 5*d - 97. Round o to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -2*x. Suppose 0*z + z - 7 = 0. Solve -5*n - x = -z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -7 - 14 - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*k = -j - 234, -2*j + 483 = -3*k. Suppose 2*z = -49 + j. Let r = -57 + 97. What is the greatest common divisor of r and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 4, -34, 5, -2 in descending order.\nAnswer: 5, 4, -2, -34, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 22 - 14 + 11*n)*(-4*n - n - 2*n) to the form d*n + q + v*n**2 and give v.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a30 + -31?\nAnswer: -1a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28 + 28 - 51*y**2 + 129*y**2 + 33*y**2 - 243*y**2 + (6*y - 4*y - 3*y)*(-2*y + 5*y - y).\nAnswer: -134*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 p, and 2 o when four letters picked without replacement from {j: 4, i: 2, p: 2, l: 1, o: 9, t: 2}.\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1268 divided by -634\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8389, 33545, 75473, 134173?\nAnswer: 209645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 2. Let t be z(-3). Suppose 9*v = t*v + 10. Find the second derivative of 1 + d - 1 + 2*d**v wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201111 (base 3) in base 13?\nAnswer: -b98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 34 = -2*i, 3*i - 52*c + 2 = -51*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 12*u - 5. Let c be s(11). Let j be (c\/(-9))\/((-4)\/78). Suppose 3 = -5*f + j. Solve f*i - 8 = -0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j + 4 = 0, 2*j = 5*s - 12. Suppose s*u + u = 15, h + 3*u - 19 = 0. Is 9 a factor of (-180)\/8*h\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16576 is divided by 138.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*r - 303*r = 3*p + 27, 3*p = -3*r + 15 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 46*w = -43*w - 9, 15*w = -m + 87 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/(-34)*(483\/(-54) + 5) and -5\/8.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1333*n**2*r + 5*n**2 - 27*n wrt r.\nAnswer: 1333*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -569*t - 1163. Let r be p(-2). Let k(y) = 4*y - y**2 + 2 + 2*y**2 + 8. Is k(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 612 + -600. Solve 0 = 5*o + 10, 4*x + 4*o + 0 = r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72*f*l**3 + f*l**2 + 82*f + 45 wrt l?\nAnswer: 216*f*l**2 + 2*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*a - a. Solve -3*w = -a*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-864597)\/(-39) - ((-36)\/39)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from {n: 1, o: 3, i: 4}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(114)*-4)\/(sqrt(486)*1*-5).\nAnswer: -16*sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + 18*p + 5. Suppose -7*w = -6*w + 9. Let h be q(w). Solve 6 = h*t + 26 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - d - 12 = 3*d, 0 = -5*l - 5*d + 5. What is the nearest to -0.1 in 4, 3, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 7.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 967259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**3 - 6*t**2 + 3. Let v(c) = 23*c**3 + 35*c**2 - c - 17. Let g(d) = -34*f(d) - 6*v(d). Does 10 divide g(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlihphhlhhplhhhlhh. Give prob of picking 1 m and 3 l.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/2 + (-14)\/(-12). Let y = -2 - -7. Suppose 4*c + 8 + 8 = 0, -y*c - 21 = -k. Put 1\/2, b, k in descending order.\nAnswer: k, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4333 = -66*z + 4400 - 9393 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/((-26)\/(-16)) - 9\/3. Suppose -g*l = -b - 2*l + 71, -l = -3*b + 237. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (8 - 7) - (11 - 1 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 711 (base 11) to base 13\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -529 divided by 374083?\nAnswer: -529\/374083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.376 rounded to two decimal places?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 6 + -3 + 1 + -1. Suppose -71 = -4*j + 153. Suppose 4*l + b*n - 48 = 0, -4*l + 0*n = n - j. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0826813 rounded to four decimal places?\nAnswer: -0.0827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 37 = -3*s. Suppose -2*x + s = -67. Suppose x = 5*m - m. Calculate the remainder when m is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.24 in -0.3, 18, 2\/353?\nAnswer: 2\/353","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 25, 2, -3 in decreasing order.\nAnswer: 25, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1513 + 1515 - 176*o - 3028 as k + h*o and give h.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32830731, -65661475, -98492219, -131322963?\n\"Answer: -32830744*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*w**2 - 2251*w - 3107.\nAnswer: -4*w - 2251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 567068 and 567069 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 - 49 = -3*a. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51 or -1564?\nAnswer: -1564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -0.15\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 6, -2*w - 3*w = -4*n + 163. Let l be (4 - n)*(-2)\/6. Suppose 2*d - 11 = l. Calculate the remainder when 32 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f**2 - 2*f - 2. Let n(q) = -2*q**2 - q - 1. Let o(m) = 3*b(m) - 6*n(m). Let j(k) = -2 - 3 + 5 + 2*k**2. Determine o(j(r)).\nAnswer: -24*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -707014 or 487?\nAnswer: -707014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001259 to 6 dps.\nAnswer: 0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13485 divided by -2697.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-155)\/62*((-6)\/(-36) + (-302)\/(-60))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 4*a - 3. Let k = 5 + -3. Let o(z) = -z**2 + 4 - k + 1 - 1 + 3*z. Let y(c) = 3*n(c) + 4*o(c). Determine y(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2655, -5311, -7967, -10623?\nAnswer: -13279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 4:57 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 258, 188, -206, -918, -1942, -3272, -4902?\nAnswer: -6826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-2 + -1 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 4*z**3 + 3*z**2\/2 - z - 4. Let n be j(-2). Which is smaller: -4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2274 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1180 * -642.\nAnswer: 757560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2*q - 2*q)*(207*q - 144*q + 5071*q + 10*q + 3893*q + 4050*q).\nAnswer: -13087*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 11*y + 4. Let p(a) = 5*a - 11. Let d(l) = -4*l + 8. Let v(h) = 4*d(h) + 3*p(h). What is -r(u) - 6*v(u)?\nAnswer: -5*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 91946 = -l + 91905, 3*o = -2*l + 35 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**3\/6 - 11*a**2\/2 + 18*a. Let g be 20\/(-2) - 10\/(-15)*3. Let d be i(g). Put 4, -2, 3, d in descending order.\nAnswer: 4, 3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*n + 6 - 2 + 22*n + 22*n + 29*n - 1390*n**2.\nAnswer: -1390*n**2 - 5*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(180) + sqrt(180) - sqrt(180)) + sqrt(180) - sqrt(180))\/sqrt(3))\/(sqrt(12) + 6*sqrt(192) + sqrt(12)) + -3)**2.\nAnswer: -6*sqrt(5)\/13 + 1526\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 3515002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -38728*v - 1084313. What is l(-28)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-12) + (-185)\/(-222). Let d(i) = 2252*i - 43. Is d(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 261.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 684145960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2911 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -14. Let f = -11 + y. Which is the closest to 1? (a) 1 (b) -0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 3*o - 6 = 3*y, 0 = -4*y + 4*o - 24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 29682 = -6*v. What is the greatest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/8 - 1335447*p\/8 - 4507407.\nAnswer: 3*(p - 445176)*(p + 27)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**0)\/h)**35*h**9*h*h\/((h\/(h\/(h\/h**(9\/5))))\/h*h))**(2\/47) assuming h is positive.\nAnswer: h**(118\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 n, and 1 j when four letters picked without replacement from {n: 1, x: 3, j: 5, f: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 43 and 8.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*q + 2*q = -10, -q = d. Let o be (d - (-51 + -2)) + -2. Calculate the greatest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1120*y**3 - y - 1120*y**3 - 16*y**4 - 6)*(2 + 2 - 2).\nAnswer: -32*y**4 - 2*y - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 315\/(-18)*-4*1\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 4:46 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 9. Let t be y(4). Let k = -1 + t. What is the units digit of ((-6)\/k)\/((-8)\/16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2427)\/1616 + 111\/74. Let b = 101760707 + -164445289783\/1616. Let x = b + d. Find the common denominator of 33\/4 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 84441955?\nAnswer: -84441954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 55, 142, 277, 466, 715?\nAnswer: 1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, i: 4}. What is prob of sequence ee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f*f**(2\/3))*f)*f*f*f*f\/(f**(1\/9)\/f)*f*f)\/(f**13\/(f**(-1\/18)\/f*f)) assuming f is positive.\nAnswer: f**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 0)\/((-1)\/2). Let k be 57\/2*l\/3. Is ((-4)\/(-8))\/((-2)\/k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101110101100 (base 2) in base 13?\nAnswer: 32bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -9090685*m**4\/2 + 27271915*m**3\/2 - 27271635*m**2\/2 + 9090265*m\/2 + 70 = 0.\nAnswer: -28\/1818137, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -n + 8. Let i be (-1 - n)*(-2 - (-14)\/5). What is the biggest value in 0, i, -0.23?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 829*h + 867*h + 811*h - 3313*h + 808*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19515351 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 2:04 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1993*r - 114*r**2 - 1993*r to p*r + w + d*r**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yff when three letters picked without replacement from nyffi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(30)\/sqrt(3)) + (sqrt(12) - (sqrt(12) + ((sqrt(48)\/sqrt(4) + sqrt(12))*4 - sqrt(12)))))\/((-3*sqrt(672))\/sqrt(7)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103600 (base 7) to base 13.\nAnswer: 8338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -8*v**2 - 2*v + 84. Let n(s) = 7*s. What is n(t(l))?\nAnswer: -56*l**2 - 14*l + 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/6)\/(5\/142) - -5. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024623907 to five decimal places.\nAnswer: -0.02462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4214 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j + 3*j - 14*j as x + a*j and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (sqrt(162) - (sqrt(162) - 1*sqrt(162))**2)) + 4.\nAnswer: 19 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 5. Let k be h(0). Suppose -3*d + 14 - 80 = -4*u, -4*u + 50 = k*d. Let x(l) = -2*l + 27. Let z be x(u). Sort 5, 2, z.\nAnswer: z, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4*q**(-2)*q*q*q\/(q*q**(-1))*(q\/(q**2\/q))\/q)**(-2\/29) assuming q is positive.\nAnswer: q**(-8\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454403 is divided by 224558.\nAnswer: 5287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jchllhhkjhjhh. Give prob of sequence jcj.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 120 = 97. Solve -35 = p - n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*o**3 + 8*o**4 - 2*o - 8*o**4 + 8*o**4 - o**3 to the form j*o**3 + z + y*o + h*o**2 + s*o**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*t - t, -3*w - 10 = -4*t. What is the highest common divisor of 18 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*f + 20, -12 - 18 = 5*f - d. Let y = -0.6 - 0.2. Let o = 3.8 + y. Which is the closest to 0.1? (a) o (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - ((10 + -7 - 10) + -3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-754)\/9048)\/(1\/660*5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1856 and -89\/4?\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 25 = -b + 3*b, 5*b - 3*z = 40. What is the remainder when b is divided by (6\/2)\/(6\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 - 5*j - 2. Suppose -4*c - 13 = -5*i - 1, 0 = i - 3*c - 9. Suppose i*a - 12*a = 36. Give y(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 341819 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - 103*w + 15. Let j(a) = a**2 - 104*a + 11. Determine -3*j(y) + 2*l(y).\nAnswer: y**2 + 106*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2611322*v - 199564 wrt v.\nAnswer: 2611322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1650\/231*(7 + 1*-2 - 340\/(-100)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + w**2 - 1. Let t(a) = -2*a**3 + 7*a**2 - a + 9. Let y(l) = h(l) + t(l). Let c be y(8). Suppose 2*m + m - 102 = c. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -34224335, -34224336, -34224339, -34224344, -34224351, -34224360, -34224371?\n\"Answer: -u**2 + 2*u - 34224336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -8*x**2 - 8*x. Let t(v) = 53*v**2 + 6*v - 6. Let z(d) = -630*d**2 - 70*d + 70. Let a(s) = 35*t(s) + 3*z(s). Calculate j(a(c)).\nAnswer: -9800*c**4 + 280*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198418 is divided by 445.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82637 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -2.9. Let y = -15.2 + 14. Is y < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 18136*s - 163210. Determine t(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.35 - -893.95. Let k = h - 812. Round k to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1078\/9 - 120. Let v = 8 - 15\/2. Is v at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -366742553.\nAnswer: 183371276.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2*y - 5*y + 13, n - 7 = -2*y. Suppose 166 = -n*i + 1451. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1088) + (4*((sqrt(1088) - (sqrt(1088) + -2 + sqrt(1088)) - sqrt(1088)) + sqrt(1088)))**2 - (-3 + sqrt(1088)*-1)**2))*-1*3.\nAnswer: -49119 + 1656*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-3465)*91*144\/(-52)\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -997833.9200106 - -997834. Let r = 0.08 - b. What is r rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**4\/4 - 2*y**3 + y**2\/2 - y - 1. Let q be o(6). Let a = -197 - -220. Solve 3*j = 4*l - 14, j - 3*l + a = q*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -26133.\nAnswer: 11\/26133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, -416, -599, -782, -965?\nAnswer: -1148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2 + 43. Suppose -3*h = 2*h - a. Calculate the lowest common multiple of h and 2*(4\/8 - -3).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14 + 13)\/(1\/(-38)). What is the second derivative of -3*k**4 - 11*k**4 - 10*k**4 - v*k + 12*k wrt k?\nAnswer: -288*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-30))\/(4*12\/(-72))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y = -3 - 582. Which is the smallest value? (a) y (b) 1\/8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - a**2 - 3*a - 3. Let k be r(-4). Let q = -114517 - -114515. Which is greater: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -589*j**2 + 6846 - 6846 + 0*j**3 + j - 1099*j**2 - 2*j**3 in the form p*j + b*j**3 + w + a*j**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52688855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 11. Let c be ((-2)\/(-1))\/(3\/12). Let x be f(c). What is the nearest to -0.1 in -2, x, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 80. Let m be (1*2)\/(15\/((-315)\/n)). Solve m*z = 3, 2*k + 3*z + 2 = 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -259 > -2077\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7769813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -424259728 and 3.\nAnswer: -424259725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, p: 3, y: 5}. Give prob of picking 1 p and 1 q.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - y - 2)*(-1 - 1 + 0)*(118*y + 81*y - 65*y).\nAnswer: 268*y**2 - 268*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - j = k + 2, 5*j = -3*k - 34. Let u(v) = 2*v + 1. Let t(g) = 5*g + 3. Let p(i) = -3*t(i) + 8*u(i). Calculate p(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32, 39, 44, 47, 48, 47?\n\"Answer: -c**2 + 10*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903594179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 3.67. Let q = 3.47 + -3.89. Let b = s + q. Round b to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 0, 7, 28, 69, 136?\n\"Answer: t**3 - 2*t**2 - 2*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 6*b**2 + 78*b - 264. What is q(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 2*k + 61. Determine g(0).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(3\/10)*t**1*(t**(-1))**(-17) assuming t is positive.\nAnswer: t**(203\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 18*o + 98. Calculate the remainder when x(7) is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137 - 133. Suppose 3*i = -3*f + 486, -z*i = -i - 4*f - 451. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2\/23 (c) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.66528 millimeters?\nAnswer: 2665280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f + 4. Let p be i(4). Let y = 53 - p. What is the least common multiple of 10 and y?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2. Let r(o) be the third derivative of -o**6\/180 + o**3\/2 - 3*o**2. Let b(s) be the first derivative of r(s). Determine d(b(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i - 52 = 17*i, -2*l = 3*i - 19 + 8 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/2*(-170)\/(-187). Solve -3*k - 1 + 13 = 0, -17 = -j*u - 3*k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 20299904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 120.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 401 - 135. Let k = u + -268. What is the smallest value in 0, -0.3, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-9)*(-16)\/(-272)*2.\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 + 64. Let w(k) = 3*k**2 + 67*k + 83. Let s(f) = -2*f**2 - 45*f - 55. Let o(t) = y*s(t) - 5*w(t). Let l be o(-24). Solve 0*z = z + l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p - 106 = -1940. Calculate the remainder when p is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2709\/(-18705))\/(4*(-7)\/40)?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 13*z**2 - 32*z - 42. Let n be f(5). Let g be ((-4)\/3)\/(2\/126). Let s = g + n. Calculate the greatest common divisor of 52 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 143*i - 3084. Give j(-89).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-2\/21)\/m)*m)\/m**(-10))**(-20\/9)\/(m**(-3\/5)*m*m\/(m*m*m**(-1\/11)*m)*m)**(5\/13) assuming m is positive.\nAnswer: m**(-781208\/27027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11470 is divided by (-12)\/(7\/4 - 45\/18)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 + 116. Let p = -42 + r. Suppose p = 4*c - 96 - 104. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/(r\/(r**1*r)*r))\/r))**(-43))**(11\/8)\/((r**1)**(2\/33)\/(r*r**6*r**1)) assuming r is positive.\nAnswer: r**(-13513\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 10*n**2 - 38*n - 258. What is the remainder when 101 is divided by f(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20314 times 0.5\nAnswer: -10157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 29. Let v be (-150)\/b - (-2)\/(-11). Let m = v + 13. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5324 and 3652.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1592)\/6*14\/(224\/(-12)) is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -215 + 1291\/6. Let v be 2\/(-36) + 4\/18. Let -v*d + 1\/3 - 1\/2*d**2 + 1\/6*d**3 + h*d**4 = 0. What is d?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-51)\/(-12) + (-3)\/12. Solve -x - t = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 2*g + 14, -3*y + 3*g = -5*y - 19 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33, 73, 115, 159?\n\"Answer: x**2 + 37*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 257*t**2 - 7 + 0*t - 259*t**2 - 9*t. Suppose -z + 7 - 6 = 0. What is the smallest common multiple of k(-3) and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 105838436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 977363\/47 - 20797. Which is smaller: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8576.8 + 8577. Let p = -3.4 - -3. Which is the closest to 0.4? (a) p (b) 2\/11 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**0)**(5\/6) assuming k is positive.\nAnswer: k**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*m - 0 + 18, 3*m - 5*f = -17. Suppose 6*z = 11 + m. Solve x - 3 = z*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j\/j**(4\/5))\/j)\/j*j)\/(j**5\/j))\/(j**(-1\/5)*j**(-2\/23)\/j))\/((j**(-1\/2))**(-1\/77)\/(j**(6\/7)\/((j*j\/j**(2\/15))\/j))) assuming j is positive.\nAnswer: j**(-187499\/53130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 8. Let o(k) = 4*k**2 - 3*k - 2. Let z be o(y). Solve 0*p - z = 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -10121302?\nAnswer: -10121231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + -43 + 42 + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2239 + 4096. Round o to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**2 + 20*y + 13. Let z(g) = 7*g**2 - 40*g - 27. Let x(b) = -5*k(b) - 3*z(b). Let a be x(22). Which is smaller: -27 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9494074 - -0.96516. Round y to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 621*l**2 + 5187*l - 5805.\nAnswer: -3*(l - 215)*(l - 1)*(l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 16 + 28 - 14. Let t be m(8). Is t at least as big as 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3594372 divided by -38238\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8020 - 8015.7425. What is a rounded to one dp?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 127832.72 to the nearest 100.\nAnswer: 127800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3080?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -7 + (-22 - (-3 + 6 - 2)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -575, -1144, -6 in decreasing order.\nAnswer: -6, -575, -1144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 7. Let o be ((-40)\/(-80))\/(2\/12). Solve x + j*i + 10 = 0, 2*i - 3*i + 2 = o*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/40? (a) 1 (b) -9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from {f: 1, m: 1, s: 1, b: 1, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b - 58 = 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.23 - 0.03. Let p = 1.8 + v. What is the nearest to -1\/2 in -5, -2\/13, p?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/(-40)*-2*40\/12.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1620.\nAnswer: -1\/540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/72*5481\/2436?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + (sqrt(288) - ((sqrt(288) - (4*sqrt(288) + sqrt(288))) + 2)**2) + sqrt(288) + 3.\nAnswer: -4609 + 228*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -8256*y - 81872. Let l(m) = -m - 14. Determine -11696*l(a) + 2*u(a).\nAnswer: -4816*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713113177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 337690277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 9:46 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 4*x**2 - 5*x - 1. Let o be f(-5). Let y be o\/3*(3 + -12). Which is the nearest to -0.1? (a) -2\/7 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 161 - 152. What is the remainder when 77 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 42114?\nAnswer: -42104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m - 2. Let z be a(5). Let t(s) = 5 + 0 + z*s + 3*s. Let u(n) = -5*n - 2. Determine 4*t(x) + 9*u(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 277\nAnswer: -11\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 103684? (a) 2\/13 (b) 5 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from jxjjjxj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21104 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28 + 1241*i**4 - 2481*i**4 + 2*i**3 - 6*i**2 - 30*i**5 + 1240*i**4 wrt i.\nAnswer: -1800*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*1*9\/27*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 8, 2*f + 3*k + 18 = f. Let l be 6\/f - (-3)\/2. Solve 4 = y + l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 - 150. Let d = 209 - f. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 31 = -3*m, m + 49 = -3*m + 5*y. Let i be 2\/(-10)*34\/m. Let u = -9\/11 + i. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.52*-11.83\nAnswer: -230.9216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004325813 rounded to four dps?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1068975 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 + -0.09. Let f = 0.231 + 0.069. Let u = 0.1 - -0.1. Put f, u, p in increasing order.\nAnswer: p, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**4\/4 + 7564155*h**3\/2 - 6357383578917*h**2 + 7124189994922329381*h\/2 - 14248354560325471401\/4 = 0.\nAnswer: 1, 1680923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**3 - v**4 - 3*v**2 + 2*v - 3*v + 0*v + 2 to the form a*v + c*v**2 + p*v**3 + y*v**4 + u and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114956.\nAnswer: 2, 29, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75 or -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 u when three letters picked without replacement from vuuujuuuuvjjgvgbbuuu.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 155504\/67 - 2321. Let n = 46\/469 - q. Let w(v) = v**3 + 11*v**2 - 12*v + 4. Let s be w(-12). What is the third biggest value in n, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, a: 2}. Give prob of sequence waa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 13, 2.6, -4?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594236 is divided by 27009?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4024*f + 50*f - 13234 = 74105 + 75595 for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 18.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -2, 5, 0, -9 in increasing order.\nAnswer: -18, -9, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2) + -157 + 2. Let x be (h\/(-6))\/7 + 3\/(-1). Which is smaller: 12 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 196171 - 2552275\/13. Let w = v + 158. Let i = 2 + -2.1. Which is the second smallest value? (a) -2\/7 (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 18707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-5))\/((-2)\/2855). Suppose -k = 3*k - s. Suppose n = 6*q - q + 123, 5*n = 3*q + k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 23. Let s be q(-10). Solve -s = -3*f + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211212120 (base 3) to base 9.\nAnswer: -54776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 4*o**2 + 0*o**2 + (-3*o**2 - 2*o**2 + 3*o**2)*(0 + 1 - 2) + (-17 - 13 + 41)*(1 - 3 + 4)*(-3*o**2 + o**2 + 6*o - 4 + 3).\nAnswer: -38*o**2 + 132*o - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to 28\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*t + 20. What is t rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 - 3\/2*u - 1\/4*u**2.\nAnswer: -(u - 2)*(u + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3686\/9 - 22760\/63. Let v = 48 - w. Which is the nearest to v? (a) -2\/3 (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 1 - (8 - (49 + -28))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003166 to seven dps.\nAnswer: 0.0000317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - x - 18. Suppose 2*o = 5*y + 67, 4*o + x*y = 3*o + 28. Calculate the remainder when 309 is divided by o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 - 1 - (184 + -260)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-12) + (-50)\/(-4) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 8\/9 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**4 + 1360*x**3 - 60435*x**2 + 163880*x + 225680 = 0.\nAnswer: -1, 4, 52, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -263\/2 - -1875\/14. Let y = -541\/2 - -239. What is the common denominator of y and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k. Let o(c) = 3 - 3 + c**2 + c + 1. Let l(u) = -2*u**2 - 3*u - 3. Let a(i) = -2*l(i) - 6*o(i). Calculate a(n(g)).\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340*w = 76*w + 29568. Solve -148 = -12*j - w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5 = a + 2*a, 5*q - 5*a = 15. Let k(r) = -12*r**q - 4 + 11*r + 10*r**2 + 1 - 1. Calculate k(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90634945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 116a9 (base 13) in base 4?\nAnswer: 13302213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111842.\nAnswer: 2, 55921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, i: 1, f: 3}. What is prob of picking 3 g?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*(h**1\/h*h)\/h)*h)\/h**(3\/8))\/(h*(h\/(h\/(h*h**(-9))*h*h)*h)\/h)**(-49) assuming h is positive.\nAnswer: h**(-3523\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11252 (base 7) to base 3\nAnswer: -10221122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 1 - 1)*(-20 + 0 + 0)*(-3 - 1 + 2).\nAnswer: -120*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -0.2, 136, 0.1, -2\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 249\nAnswer: 49.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 73801473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 770*p + 989. Does 17 divide a(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118 - 116. Let h(a) = -13*a + 9*a - a - a**l. Suppose -3*x = -x - 3*r + 24, -10 = 5*x + 5*r. Let g(k) = k**2 + 3*k. Give x*h(d) - 10*g(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 13256?\nAnswer: 13258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and -58849.\nAnswer: -1588923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.7 - 4.4. Which is the nearest to -1? (a) -4 (b) -1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*s + 115*s - 1334 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 999840 a multiple of 865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1001251 (base 6) to base 2\nAnswer: -1011011101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 26*a**2 - 195166*a - 1171939. Calculate w(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 3, o: 8, z: 2, c: 2}. What is prob of sequence czc?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (32\/6 - 2)*3. Suppose 6*i = i + o. Let z be 0\/1 + -1 + 7. Solve -i*h = -z + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139839441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: e9a (base 15) to base 8\nAnswer: 6337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbcbococcccoccoccb. Give prob of sequence cb.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/8 + 6859\/76. Suppose -4*l + 9 + 7 = 0, -5*l = -g + d. What is the greatest common divisor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/697 and 233.56 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 - (-9 + 14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -207.753 times -0.07?\nAnswer: 14.54271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-60)*42\/((-14)\/2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 6. Let c = -41 - i. Let o = -409\/11 + 37. Is c at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 947677 * 0.2.\nAnswer: 189535.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c + 23. Let r be z(-10). Let g be (r - -16)\/((-7)\/6 - -1). What are the prime factors of g\/90 + ((-1856)\/(-5))\/2?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/70)\/((-2340)\/3920) - (-6)\/(-26).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -210*l - 98 + 53 + 45 to the form w + c*l and give c.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -18\/7*v**2 + 0 - 22\/7*v**3 + 4\/7*v = 0.\nAnswer: -1, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 + 4*x**3 - 2*x**3)*(-4*x**2 - 204 + 14*x**2 + 207).\nAnswer: -20*x**5 - 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g + 2. Suppose -5*r + 15 = -5. Suppose 0 = -r*v + 5*v - 3*v. Let h be q(v). Solve h*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5269*k - 705717 + 252583 for k.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000638237634 to 7 dps.\nAnswer: -0.0006382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f - 32*f**2 - 18*f + 28*f.\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 2342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(171)*-1 - sqrt(171)))\/(-4*sqrt(144)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + h - 1. Let m be s(1). Let k = m + 6. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 - 30*s + 30. Let u be (-14875)\/(-1625) - (-4)\/(-26). Give q(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -141*g**3\/5 + 19041*g**2\/5 + 118476*g\/5 - 5076\/5 = 0?\nAnswer: -6, 2\/47, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2 = -3*w, 56*n + 4*w = 54*n + 2 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 111885667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.563 - 2.463. What is the third biggest value in -6\/7, l, 39?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 407429, 814395, 1221361, 1628327, 2035293, 2442259?\n\"Answer: 406966*d + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**3 + 10 - 10 + (3*c**2 + 0*c**2 - 2*c**2)*(-1 + 0*c - 6*c + 2*c) to the form a*c + l*c**3 + z + u*c**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5)*(-355)\/(-142).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.094 less than -5809324.8923?\nAnswer: -5809324.7983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - 14. Suppose -702*w = -842*w + 700. Calculate k(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1475.116 to the nearest integer.\nAnswer: -1475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61, 117, 193, 283, 381, 481?\n\"Answer: -f**3 + 16*f**2 + 15*f + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 167 = -2*b - 3*u, 3*b - 85 = 2*u. Let x = b + -27. Suppose x*s - 4*n - 148 = 0, -n - 4*n - 68 = -2*s. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d4a421 (base 14) in base 5?\nAnswer: 3314024004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, 219, 324, 473?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 + 4 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 72\/4 - 3\/1. Suppose 6 - s = -3*w. Solve -3*o - 2*y + w*y - 3 = 0, -y = 5*o + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -97, -123, -171, -241, -333, -447?\n\"Answer: -11*r**2 + 7*r - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*w - 60*w - 31*w - 156. Which is bigger: w or 3\/28177?\nAnswer: 3\/28177","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-3 - (-19350)\/3224 - 3). Is j > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3921.\nAnswer: 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 131.684 * 58\nAnswer: 7637.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 410?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + -1 - (173 + -180)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*k - 3*k**2 - 30*k + 12*k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 6) in base 2?\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-1 + 13)\/4. Let d(x) = -1 + 4 + x**3 + 6*x**v + 5*x - 4*x + 1. List the prime factors of d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 25 = -11*n. Put 0, n, 3 in decreasing order.\nAnswer: 3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.36 - -1.3594. What is x rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u + 3195891 = 3195017 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/(-56)*((-1050)\/(-625))\/((-25)\/375)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= 49\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9625*u - 38514*u + 9625*u + 9632*u + 9622*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106 + 114. Suppose -a*m + 4*m + 16 = 0. Solve -10 = h - 6*h - 4*p, m*h - 8 = 3*p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 7, -3\/4, -7.1, -7?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30924991*m**4*p + m**3*p + 2*m**3 - 2*m**2*p - 8643*m*p + m - 5*p - 4 wrt m.\nAnswer: 742199784*m*p + 6*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 992471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = h - 9*b + 7*b, h = b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/33 - (-552)\/88?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 688, 3306, 7656, 13738?\n\"Answer: 866*w**2 + 20*w - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -405 by 5.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9*2372401\nAnswer: -21351609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s - 8. Let w be z(-5). Suppose 14*y = w*y + 6. Suppose 33 + 390 = -y*v. What is v rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16801\/20 + -3361\/4. Let h = -0.3 + 0.4. Let c = 0.1 + h. What is the nearest to -3 in r, -0.1, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 284150013?\nAnswer: -284150001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*k**2*p*t - 58*k**2*p + k**2*t + 2*k*p*t + 25*k + 6*p*t + 2*t wrt k.\nAnswer: -32*p*t - 116*p + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 2)\/(0 + -1). Is 24*2 - n\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*n - 202*n + 1060 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(68)*3)\/sqrt(4) - (sqrt(170) + 1*sqrt(170)*3 - sqrt(170))\/sqrt(10).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (2 + 1 + sqrt(242)) - ((sqrt(242) + -2)*4 + sqrt(242))) + 2*sqrt(288)*3 + 1*sqrt(288) + sqrt(288) + 1)**2.\nAnswer: 492*sqrt(2) + 3398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/15 + (-91)\/(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 8:14 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 3, 26065, 2 in increasing order.\nAnswer: -5, -4, 2, 3, 26065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 569585157 to the power of 1\/2, to the nearest integer?\nAnswer: 23866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*z - 211*z - 102*z in the form p + r*z and give r.\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1417 in 4\/7, 7, -2\/17, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2009*z - 1443*z - 10170 = -3138*z - 36098 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 152132 a multiple of 521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + f = 537, 4*f = 4*a + f - 517. Let p(x) = 61*x - 253 + 145 - 23 - 124 - 104. Let k be p(6). What is the greatest common divisor of a and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z = -3*z - 20*z + 1452 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/55 - (-2 + 56\/10). Let u be ((-60)\/2)\/(i\/10). Suppose 60 = -2*f + 4*f. Calculate the highest common divisor of f and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5 - 22*y**4 - 92*y**3 - 180*y**2 - 162*y - 54.\nAnswer: -2*(y + 1)**2*(y + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 2*b**6\/15 - 151*b**5\/5 + 149*b**4 - 890*b**3\/3 + 296*b**2 + 6643*b. Suppose s(c) = 0. What is c?\nAnswer: 1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.225\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 (base 8) in base 3?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -503*b*h*i*l - 9224*b*h*i - 9*b*i*l - 2*h*i*l - 5*i - 3*l wrt l.\nAnswer: -503*b*h*i - 9*b*i - 2*h*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 218190 and 218190?\nAnswer: 218190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2 + 10, 3*c - 11 = -2*o. Let x be -2 + (6 - c) + 1. Solve 0*i = 4*z + 3*i - 1, 0 = -z - x*i + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 - (-112784)\/98 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -2, -125 in descending order.\nAnswer: 4, 1, -2, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 4*f - 5*l - 45, f - 5*l - 30 = 0. Let s be (18\/105*7)\/((-2)\/10). Let i be (s\/(-6) - 2)*-11. Solve -f*b + 2 = 3*w + 5, -5*b - w - i = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1800, 2320, 2840?\n\"Answer: 520*y + 1280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11926 - 2*q - 11926. Let c(g) = -6*g**2 - 5*g - 27. Let j(u) = -9*u**2 - 8*u - 40. Let r(h) = -8*c(h) + 5*j(h). Calculate r(s(i)).\nAnswer: 12*i**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - l**2 + 2)*(0*l + 3*l - 5*l) + 7*l**3 + 5 - 5.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*v - 18, 5*v + 4*w - 6 = 8*v. Let r be (9\/(-2))\/((-2)\/4). Let h = r + -6. What is the remainder when v is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h**2 - 7*h**2 + 2*h**2.\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54254740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -789 - -790. Which is smaller: u or 5\/492?\nAnswer: 5\/492","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78716 or -78666?\nAnswer: -78666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - r = 3 - 7, 3*d + r = 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let d be 4\/(-6) - 14\/(-3). Let q be w(d). Let b = -151 + 151. Sort q, -2, b in descending order.\nAnswer: b, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-9)*(-3122811)\/(-11762).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 v when four letters picked without replacement from vvisvsiivivvvivhis?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12) - (-2142)\/(-216))*(11 - 61\/3)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g + h + 2 = 0, g - 4*h = -14. Suppose -5*k + 56 = 2*f + 2*f, -5*f = 4*k - 61. Solve g*z + z = -f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(700\/(-24)))\/(6\/(-3))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 112744 to the power of 1\/2, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 8*s + 5. Suppose 7*o + 71 = 15. Let g be n(o). Suppose -13*m = -g*m - 320. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*5\/(-60)*(-8)\/(-45)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 1. Let o(d) = -d**2 + d + 18. Let r be o(5). Let b(i) = -i**3 - 8*i - 6. Give r*b(t) + 14*h(t).\nAnswer: 2*t**3 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50638357?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/7 (b) 3 (c) -0.7 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 1, -97, 6 in descending order.\nAnswer: 6, 1, -2, -7, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) 24\/11 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*o - 6 = 3, 3*r - 10 = -5*o. Suppose -3*c - 5*h = -2*c - 28, r*c - h - 10 = 0. Solve 2*i = c*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10253, 21086, 32529, 44588, 57269, 70578?\n\"Answer: f**3 + 299*f**2 + 9929*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**2 - 5*b**2 - b + 6*b**2. Give o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361 (base 15) in base 9?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -1\/15, 0, 4\/3?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 172*g**4 - 4645 + 4645 + (2 - 2 + 1)*(4*g**4 - 7*g**4 + 2*g**4) - 5*g**4 + 16*g**4 - 37*g**4 to b + y*g**3 + p*g + h*g**4 + l*g**2 and give h.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846736 is divided by 392?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15597\/320 + -9\/64. Factor -324\/5*c - 36\/5*c**3 - i - 162\/5*c**2 - 3\/5*c**4.\nAnswer: -3*(c + 3)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123861 is divided by 527.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 1) + (-4 - -6) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2502.4 - 2502. What is the biggest value in -2, p, 17, -5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**3 - 8*q**2 - q + 2. Let x(k) = 5*k**3 + 9*k**2 - 1. Let b(f) = -6*n(f) - 5*x(f). Give b(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1264*g + 968152. Determine q(766).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 11. Find the first derivative of j**3 - 4 - 2 + 1 + z wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-31\/3))**(5\/6) assuming m is positive.\nAnswer: m**(-155\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 3:17 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 136\/(-126) + -9*(-12)\/126. Let v = 2.98 - -2.1. Let j = v + -0.08. What is the biggest value in j, -1\/5, 0, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 45\/(-54)*(3\/(-10) + 0). Let z be 25\/15*8\/60. What is the fourth biggest value in 4, z, n, 1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2445*d. Let g(a) = 1816*a. Calculate f(g(o)).\nAnswer: -4440120*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2 - 346*s + 344 = 0.\nAnswer: 1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**6\/30 - 3*s**2\/2 + 3*s. Let f(m) = -m - 2. Let z(b) = -3*f(b) + 2*h(b). What is the second derivative of z(r) wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 11) in base 15?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(sqrt(95) + sqrt(95) + -6*(-4*sqrt(95) + sqrt(95))))\/(sqrt(50)\/(sqrt(360)*3)).\nAnswer: 6480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 456332 (base 7) to base 4\nAnswer: 103320311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -4*a + y, 5*a - 21*y = -25*y - 29 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 469500097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 100 = -4*u, 6*u - 5*u - w = -34. Let c = -18 - u. What is the remainder when 44 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1632, -3264, -4886, -6492, -8076, -9632?\nAnswer: -11154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110000111110000100 - -11?\nAnswer: 1100110000111110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28, -52, -76?\n\"Answer: -24*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 224*s + 1578. Calculate k(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - u**2 - u + 22. What is the remainder when f(0) is divided by (2 + 2)*(2 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010100 (base 2) to base 8.\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 3. Suppose -58 = -5*k + 3*k. Let v = k - 20. Let d be u(v). Solve 2*y + 16 = 4*t, -3*t + d + 3 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38*y**4 - 27419*y**2 + 56597596 wrt y?\nAnswer: 152*y**3 - 54838*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6481\/5 - -1308. Calculate the common denominator of h and -29\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003655967291 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2130347, -2130349, -2130351, -2130353?\n\"Answer: -2*t - 2130345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 5 + -3)\/((-99)\/18)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2231781 is divided by 41.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5911 = 84*d - 85*d, 0 = -2*d + 4*s + 11750. Round d to the nearest 100.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -41*y + 4. Let x be j(-3). Find the common denominator of 19\/20 and (-1*x\/(-2))\/(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -13*d**3 - d**2 - d. Let y be o(-1). Let v = y + -6. Solve 3 = -2*x - v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -164\/7 - 78\/7*p + 2\/7*p**2.\nAnswer: 2*(p - 41)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - (-4 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4618 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 62236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q\/q**(-3\/11)))\/q)\/q)\/(q**(4\/13)*q))\/(q**(-7)\/(q*q\/q**(-2))) assuming q is positive.\nAnswer: q**(1061\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95199789 + 108404809.2. Let y = 13205021.04000067 - m. Let d = -0.84 + y. Round d to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*i - 28*i - 450. What is the remainder when i is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3)\/((-1)\/2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 86. Let y = 105 - w. Let a = -28 + y. Calculate the remainder when 57 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 6*n**2 + 2*n - 3. What is the lowest common multiple of 21 and p(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13999120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(4\/3))**(-10)\/((l**(-2)\/l)\/l)**26 assuming l is positive.\nAnswer: l**(322\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2 + 4917*o + 297294. What is t(1287)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 325 + -206. Calculate the remainder when d is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5843*f = -5822*f - 987. Let v(i) = 15*i**2 + 5*i + 6. Let u be v(-4). Let j = u + f. List the prime factors of j.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*(x\/(x**14\/x))\/x))\/x**(-21))\/((x*x*x*x*x**(-10)*x)\/(x**7\/x)) assuming x is positive.\nAnswer: x**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 4*s - 14, 5*c + 15 - 37 = 4*s. Suppose 3*j - 3 = c*j. Suppose 24 = 3*n + j*w, -n + 13 = n - w. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + v**2 + v. Let n(x) = 4*x**3 + 2*x**2 - 9*x - 9. Let k(u) = -n(u) - 3*r(u). Give k(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 v when four letters picked without replacement from {v: 14, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 smaller than -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 3*r - 4. Let s be v(4). Let z be 0\/(3 - (6 - 4)). Are s and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/12 and 187\/570.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2505 - 2220 = -19*v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 - o**2 - o + 1. Suppose p + 449 = 5*k, -2*k + 6*k = 5*p + 355. Let y = -38 + k. What is the remainder when y is divided by f(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2368454 = -18*k + 4723162 + 2162626. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100444?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - c + 2, 4444 = 5*c + 4434 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.856 + -0.056. Let h = 28.3 - r. Let a = h + -14. What is a rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 204*y - 3*y**2 - y**2 + 4*y + 104*y.\nAnswer: -4*y*(y - 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -14. Let b = 21 + r. Solve 0*h + 3*v - 5 = 5*h, -b = 5*h - 4*v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*f**2 - 62*f**5 + 0*f**2 + 28*f - 12*f**2 wrt f?\nAnswer: -3720*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2569078 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 664136559 to the nearest integer?\nAnswer: 25771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 90651 divided by -2747?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 3) + 49 + -62 + 5 + -16\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1322 = 4*a + 9194, -2613 = -p + 5*a. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6966949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 19387*c**2 - 37058*c**2 - 2664*c**2 in the form k + v*c**2 + b*c and give v.\nAnswer: -20335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q*r**3 + 2324*q*r**2 - 2*q*r + 86*q - r**3 - 6*r**2 - 3376 wrt r?\nAnswer: -6*q*r + 4648*q - 6*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 15*w + 13. Calculate the common denominator of k(-12) and 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**3 + 2058*o**2 + 23172*o - 736008 = 0. Calculate o.\nAnswer: -674, -26, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x - 5*f + 123 = 0, -2*x + 45 = 3*x - f - 4*f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7180 divided by -3?\nAnswer: -7180\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5*d + 157 = 188, 3*f = 13*d - 103 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 33. Let z be p(-2). Suppose 6*q - 7*q - 5 = 0, -4*q - z = -k. Let t(f) = 2*f - 13. Determine t(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.04 + -7. Let a = -0.0627857 + 0.0227864. Let v = m + a. Round v to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15301511 or 15301498?\nAnswer: 15301511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 535517.82 - 0.223?\nAnswer: 535517.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 - -142. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - d + 4. Let j(z) = 2*z**3 + 48*z**2 - 5*z - 10812. Let l(t) = -j(t) + 6*o(t). What is the first derivative of l(p) wrt p?\nAnswer: -6*p**2 - 108*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -974\/187079 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(4\/3)*a)\/(a**(-8\/7)\/a))**(2\/11) assuming a is positive.\nAnswer: a**(230\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {b: 2, a: 4, g: 10}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2*x + 5*x)*(1 - 1 - 2)*(2*x - 54 + 11 - 40).\nAnswer: -8*x**2 + 332*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -127, -132, -139, -148, -159, -172?\n\"Answer: -u**2 - 2*u - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 less than -2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2670, -2640, -2592, -2526, -2442?\n\"Answer: 9*i**2 + 3*i - 2682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332.4113 millilitres to litres.\nAnswer: 0.3324113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mme when three letters picked without replacement from {e: 3, m: 6, u: 4, b: 1, i: 1, p: 4}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17994 - -17995. Which is the nearest to -12? (a) 5 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9989653 to the nearest integer?\nAnswer: 3161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/462*36\/8?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) 4 (c) 0.2 (d) -4\/7 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 4*f - 34. Let c be w(-4). What is the third derivative of -2*v**2 + 3*v**2 + c*v + 1033*v**4 - 1033*v**4 + 16*v - 87*v**5 wrt v?\nAnswer: -5220*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10354\/1555 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4227629 meters to kilometers.\nAnswer: 0.0004227629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.057, -0.134, 0.1, -0.3, 1, -6\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + 13 + 103 + (4 - 35)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -990608063*o**2 - 608141728 wrt o.\nAnswer: -1981216126*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33 and -1.887.\nAnswer: 62.271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*l**3 - 7*l**2 + 7*l**2 + 128*l**3 - 250*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n + 14. Suppose p - 4*c = 1, 3*c = p + 3*p - 43. Let r = -6 + p. What is the greatest common divisor of r and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*r, 0*r = c - 2*r - 526. Suppose -c = -5*z - 5*v, -3*v - v + 216 = 2*z. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -54 + 12*a**2 - 2\/3*a**4 + 0*a + 0*a**3 = 0?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 - 76. Solve -5*z = f*s, -9 = 3*s + s + z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 4:58 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u**2 + 1. What are the prime factors of k(-3)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49710000 rounded to the nearest one million?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -20. Suppose 2 = -y*x, 3*p - 5*x = -2*p + 38250. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -t - 25, -3*t + 15 = 3*i - 0. Let l be (-1 + 4)*20\/i. Suppose l*g - 87 = 13. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41483 divided by -1937\nAnswer: 3191\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 88391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 6. Let g = r - -14. Let c = g + -11. Calculate the highest common divisor of c and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - -1. Suppose 0 = 10*t - 53 - 77. Calculate the remainder when o is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 47*j + 17. Let i(n) = -97028*n. What is l(i(m))?\nAnswer: -4560316*m + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 10:54 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5896, 8507, 11104, 13681, 16232, 18751?\n\"Answer: -p**3 - p**2 + 2621*p + 3277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68497*i**2*l**5 - 8471*i**2*l**2*o**3 + 2*i**2*l**2*o**2 + 839*l**3*o**3 - o**3 wrt l.\nAnswer: 4109820*i**2*l**2 + 5034*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -119644, -239275, -358896, -478501, -598084, -717639, -837160?\n\"Answer: s**3 - s**2 - 119635*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-9)\/(f\/(f\/(f\/(f**(2\/15)\/f)))))\/(((f\/((f\/f**(-16))\/f)*f)\/f)\/(f*f*f**(5\/3)\/f)))**12 assuming f is positive.\nAnswer: f**(408\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - 91 + 2*q + 202.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -925.18168 to the nearest ten.\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8987.24 millimeters?\nAnswer: 8987240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46942 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97 + -90. Suppose -g*l - m = -12*l + 5138, -3*m + 5146 = 5*l. Is 42 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/(-6))\/((-72)\/92664)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -4*v + 4, 0 = 10*j - 14*j - 2*v + 20 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n. Suppose -d = -7*d. Let l(f) be the second derivative of 0 + 1\/2*f**4 - 4*f + 0*f**3 + d*f**2. Give l(o(t)).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28613 or -28606?\nAnswer: -28606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 292 (b) 0.3 (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**3 + 9*z**2 - z + 41. Calculate the remainder when 226 is divided by d(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*y**2 - 1225*y + 7130.\nAnswer: -5*(y + 46)*(6*y - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -1 - (-110 - -1). Let i(z) = 98*z + 0*z**2 - z**2 - o*z + 25. What is the units digit of i(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7414*s + 4991 = -7197*s for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 22. Suppose -18*o + 14*o + 80 = 0. Let t = 42 - o. Calculate the lowest common multiple of l and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllll. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264262 is divided by 88085?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-910)\/(-87 + 22) - -25*(-1 + 2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1817 + -8?\nAnswer: -1823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d**3*n**2*o**2 + 3*d**3*o**3 + 7*d**3*o + 2*d**2*n**2*o**3 + 2*d**2*n - d**2*o**3 wrt n.\nAnswer: -10*d**3*o**2 + 4*d**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10000 + -1122020?\nAnswer: -1202020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -878349 + 872259 = 145*d for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -803b8 + 183?\nAnswer: -80235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 10*d**2 - 10*d + 11. Let i be w(-11). Solve -4*p + i = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*k - 240 - 24 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**5\/10 - 3*h**2. Let u(z) = -3*z**2. Give p(u(g)).\nAnswer: -54*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 551862*d. Let u(g) = 8*g. What is u(z(l))?\nAnswer: 4414896*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6454?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -81*l - 1219. What is x(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 13. Let y be (-4)\/(-6) + -13 + d. Which is bigger: y or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 12:07 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 23.2.\nAnswer: -162.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 1016247.\nAnswer: -4064988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.69 - 1.41. Let z = -0.1 - d. Let y = -7 + z. What is the biggest value in 0.3, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28*(-7)\/(-14) + -1 + 3. What is the highest common divisor of k and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.44*0.4\nAnswer: 0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g**3 - 694*g**2\/3 - 1028*g\/3 + 8 = 0. Calculate g.\nAnswer: -6, -2, 2\/87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 60*o + 65.\nAnswer: -5*(o - 13)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by 2284966.\nAnswer: 43\/2284966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -547, -2085, -4601, -8095?\n\"Answer: -489*a**2 - 71*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254924 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/2 - 1)*0. Suppose -2*v - v + 60 = h. Suppose 5*p - 3 + 5 = -2*l, 2*p + v = 4*l. Solve -j - 6 = 5*b - 33, -l*j = -b - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + 30 - (-17 + -4 + (4 - 3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j + 16 = 0. Let g = -16.2 + 16.1. Which is the closest to g? (a) 7 (b) -2\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9640.665 centimeters in millimeters?\nAnswer: 96406.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -24*l + 27*l. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 27718080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c - 2. Let o(y) = -38*y - 93. Let l(z) = -13*z - 31. Let i(s) = -8*l(s) + 3*o(s). What is the remainder when i(-9) is divided by n(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o**(11\/3)\/o)\/o)\/o)\/o**1)**(-43) assuming o is positive.\nAnswer: o**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - (5*((sqrt(70) - (1*sqrt(70) - sqrt(70))) + sqrt(70) - sqrt(70) - sqrt(70)) + sqrt(70)))*3)\/(-4*3*sqrt(360)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8771454 divided by 2923818.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6927 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3556390088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22301 is divided by 177?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**3 + 764 - 745 + 11*j**3)*(5*j - j + j + (-j + 1 - 1)*(0 + 3 - 6)) as v*j**3 + b*j**2 + l + h*j + k*j**4 and give k.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/33 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from ixidxaodidxidixo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37880664 = 24*h - 32967336. Round h to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19275617 divided by 1.\nAnswer: 19275617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 101 = -4*x + 5*x, x = -5*l + 95. Suppose 0 = 49*r - x - 86. Factor 8\/5*k + 6\/5*k**2 - 4\/5*k**3 - 8\/5 - 2\/5*k**r.\nAnswer: -2*(k - 1)**2*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 9:02 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = 3*z, 4 = 2*z - 0*t - 2*t. What is the units digit of (-2700)\/(-42) - z\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5950, -22265, -48952, -86011, -133442, -191245?\n\"Answer: -5186*q**2 - 757*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 6:55 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 164864 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*b**3 + 82*b**3 + 32*b**3)*(0*b - b - 4*b)*(-1 - 5*b + 1).\nAnswer: 1875*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1)*t)**36*(t**(2\/7)\/t)\/t*t*t*t**(-3\/4) assuming t is positive.\nAnswer: t**(995\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*g + 411, 111 = 2*u - 2*g - 53. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*x - 195 + 185 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y - 14. Does 10 divide p(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4869964?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3509 is divided by 854.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (6 + -2 + -2 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, m: 1, v: 2, y: 6}. Give prob of picking 2 v and 2 y.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 77847?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 265897 and 8774601?\nAnswer: 8774601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21034 and 555854?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b - 4. Let t be d(4). Suppose t*n = 5*g + 197, -7 - 2 = -3*g. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + k + 1 = 0, -2*d - 3*k = 2*k + 13. Suppose 4*v - 6 = 6. Solve -n = 2*f - 13, 5*f - d = v*f + 3*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0915 - 0.0215. Which is the closest to 2? (a) 0.5 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 312 and 806?\nAnswer: 9672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*u = 3, 0 = 5*k - 2*u + 6*u - 3. Suppose -3*a - 21 = -4*b, 0*b - 2*a + 20 = k*b. Let c be 54\/10 - (-2)\/(-5). Are b and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.19 * 989177.7\nAnswer: 1177121.463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 w, and 1 z when three letters picked without replacement from eeeiewzezz.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 11*c + 10. Suppose -u + 0 + 2 = c. Solve -s = -4*x + s + 8, 0 = u*x + s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 109*k - 5. Let x(i) = -22*i + 1. Let b(m) = 2*p(m) + 11*x(m). Is b(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*a = -3*a + 22, 0 = -5*i + 4*a - 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.1, 162, -1, -3\/16 in decreasing order.\nAnswer: 162, 0.1, -3\/16, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l - 125. Suppose -l = q + 4*q. Calculate the common denominator of q and (30\/(-48))\/5 + 66\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 18*r + 165. Suppose 0 = 2*a + 5*h + 19, 5*a + 2*h + 96 = 59. What is n(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1)*s)**(-31)*(s**0)**(-18\/7)*(s**(-1\/6)*s)\/s*s*s*s*s**(2\/7)\/s*((s*s*s**(2\/3))\/s)**(-11\/2) assuming s is positive.\nAnswer: s**(-2101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4 = -z - 3, -2*o = -2. Let g be 1\/(-6) + (-146)\/(-12). Let n be (-9)\/z*g\/18. Let r(b) = b**2 - 4*b + 3. What is r(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2330*u**2 - 28*u - 18. Let k(p) = 466*p**2 - 6*p - 4. Calculate -3*b(g) + 14*k(g).\nAnswer: -466*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 24, 48, 70, 90?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9721, -38965, -87711, -155935, -243613?\n\"Answer: 4*v**3 - 9775*v**2 + 53*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m - 3. Let g(r) be the second derivative of r**3\/6 - r**2\/2 + 40*r. Calculate -4*g(y) + 2*k(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*p + 4*v, 0 = 3*p + v - 5 - 10. Calculate the remainder when 7 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Let m(t) = t**2 + 2*t - 6. Let f be m(-4). Suppose -4*b = -5*n - 24, -2*b + 6*n + 18 = f*n. Let r(v) = -4 - 2*v + b + 3. What is r(j(c))?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -94, -331, -706, -1213, -1846?\n\"Answer: i**3 - 75*i**2 - 19*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159984*u + v = -159989*u + 27, 3*v - 11 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*z - 75*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:11 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1529 * -162\nAnswer: 247698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.32 + 0.08. What is i rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -90609, -181202, -271801, -362406?\n\"Answer: -3*j**2 - 90584*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from oooeoeoo?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.35041 * -744.\nAnswer: -260.70504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -10. Let u = k - -3. Let y be (-4)\/(1 - 2 - 1). Solve -y*m = u*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45d + 208?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 4, 15, 10, -249, -2 in decreasing order.\nAnswer: 20, 15, 10, 4, -2, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1118*v - 2234. Let i be w(2). Put 6, i, 1, 0, 12 in decreasing order.\nAnswer: 12, 6, i, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18437248 and 62288?\nAnswer: 18437248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:42 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2819 is divided by 285?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 times 32?\nAnswer: -7.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**3 - 2*s**2 - 5. Let w(d) = 6*d**3 + 3*d**2 + 7. What is -7*l(c) - 5*w(c)?\nAnswer: -2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2. Let z(p) = -5*p**2 + 8*p + 8. Let o(v) = -2*v**2 + 3*v + 3. Let c(y) = -8*o(y) + 3*z(y). Calculate c(g(d)).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 150458453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35327443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 3*c + 2. Let v be h(0). Solve -2*x - v*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 9. Let o = -12 + 7. Sort -0.2, o, h in descending order.\nAnswer: -0.2, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37486139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52423 + -33?\nAnswer: 52350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.1 - 26.9. Let s = -31.9 - u. Sort 0.08, s, 4 in decreasing order.\nAnswer: 4, s, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9774 and 4645908?\nAnswer: 13937724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, m: 2, x: 6, d: 1}. What is prob of picking 1 m and 1 j?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 13) to base 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-25) - (442\/60)\/17.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -1\/4, 836, -45, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -4\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-30) - ((-32)\/2688*-28 + -1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 681*s - 679. Let k be p(1). Let d(y) = 16*y - 29. Give d(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a + 33. Let h(u) = 2*u - 11. Let n(d) = 11*h(d) + 4*v(d). Let r be n(3). Let i(o) = -o**3 + 4*o**2 + 5*o + 7. List the prime factors of i(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1341*d. Let c(p) = 68*p. Calculate c(n(g)).\nAnswer: 91188*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = p + 4. Suppose -m = p*m - 3. Is m > -6\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 7:14 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13\/(-26))\/((-2)\/28). Let f(o) = 2*o - 9. Calculate f(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/3)*j\/(j\/(j*j\/(j*j*j\/(j**(-13)*j)*j))*j) assuming j is positive.\nAnswer: j**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k - 10. Let i be n(-9). Let f = i + 1. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/r**(-20)*(r*(r*r\/r**33)\/r)\/(r*r**(2\/5)\/r))**(-35) assuming r is positive.\nAnswer: r**434","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/2, -0.12, -0.6, -1\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2725*p**3 + p**2 - 1. Let l = 55 + -53. Let a(d) = d**3 + d + 1. Let w(j) = l*a(j) + c(j). Is w(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l + 3. Let v(h) = 4*h - 2. Determine 3*s(f) + 5*v(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -11.5. Let r = -9.23 + 9.03. What is the closest to -0.08 in 2, o, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18493593 and 627.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86422.\nAnswer: 2, 7, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, l: 7, p: 9}. What is prob of sequence bbl?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230 - 300*j**2 - 8*j**2 - 170.\nAnswer: -308*j**2 + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 760 by 74.\nAnswer: 380\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 237.32 and 676.\nAnswer: 160428.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 - 56\/8 - (1 + -4). Suppose 6*q + 8 = 2*q, -j - s = q. What is the third smallest value in j, 9, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2326464 divided by 16156\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (12 - 6 - 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-4 - 1) - -7. What is the smallest value in 5, -6, k, 2\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**4\/12 + 3*l**3\/2 + 34*l**2. Suppose -4*w - 3*s = 2*s + 56, -17 = w + 2*s. What is the tens digit of u(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**5\/20 + 5*x**4\/12 + x**3\/2 + 3*x**2\/2 + 2*x + 50. What is o(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 7:34 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -4) + (-38)\/10. Put a, -4, 10 in decreasing order.\nAnswer: 10, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*z + z**2 - 89*z - 89*z - 79*z.\nAnswer: z**2 - 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 7*j**2 + 5*j - 19. Let u be m(-8). Suppose 5*f = -t + u + 3, -2*f + 14 = -5*t. Suppose 167 + 13 = f*i. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 60, -136*z = -134*z + d + 19 - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -58\/3. Let x = -25.2 + 21. Which is greater: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2425 and 33550.\nAnswer: 3254350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2908008 and -83\/9693360.\nAnswer: 29080080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 - -187. Let m be 22\/6 - (-2)\/6. Is t\/m + (-2)\/(-8) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - 3*a**3 - 2.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*q - 48 = -6*t, -5*q = 0. Calculate the remainder when 61 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 8*s**2 + 9*s + 2. Let n be v(-9). Which is the nearest to 0.1? (a) -5 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.775 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*s = 46. Let n = s + -16. What is the least common multiple of 11 and n?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -8. Let z be (-2)\/(-10) - 4\/(-5). Let u = q + z. Put -1, u, 2 in decreasing order.\nAnswer: 2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 4*t + 3*t)*(-8 + 11*t**4 + 8) + 9*t**5 - 2*t**5 + t**5.\nAnswer: 52*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 11*b - 8. Let c be z(7). Suppose -6 - 11 = -5*u - 3*j, -c = -5*j. Calculate the highest common divisor of u and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, p: 1, y: 11, o: 1, g: 1}. What is prob of picking 1 p and 1 g?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 4*y - 6, -22 = -4*b + 2*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1224*d**3 - 19*d**2 + 13735*d**3 + 20*d**2 - 21*d**2 - 12*d**2.\nAnswer: 12511*d**3 - 32*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 3*f**2 + 18*f - 8. Let d be n(-6). Let c be (-90)\/(-135) - (0 + d\/6). Factor -3\/5*x**3 + 81\/5 + 27\/5*x**c - 81\/5*x.\nAnswer: -3*(x - 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - w - 2. Let v be u(-2). Suppose -d + 4 = -2*r, -8 = v*r + 3*d + 2*d. Let j = -4 - r. Which is the nearest to -1? (a) -2\/9 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*c = -5*h + 83*c + 72172, 5*c = 4*h - 57748. Suppose -18*n + h = -2*n. What are the prime factors of n?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 29\/16?\nAnswer: 29\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 832*m - 846*m = -154 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 11:57 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*j + 29*j - 17 - 18*j)*(3*j**3 + j**3 - 3*j**3) + (-4 + 4 + 3*j)*(0*j + 0*j - j**3) to the form s + y*j**3 + l*j**2 + a*j + h*j**4 and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74354 divided by -37177.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11*t**3 - 18*t**2 + 5*t. Let l be f(7). Is 2928 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22 from -0.05641.\nAnswer: 21.94359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -238, -476, -714, -952?\n\"Answer: -238*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 3}. Give prob of picking 1 f and 1 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32249000 rounded to the nearest one million?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, -3, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1751 is divided by 58.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {j: 16, h: 3, m: 1}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 453*-0.0059\nAnswer: -2.6727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431941652 a multiple of 1893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -2. Suppose 3*m - 28 = -4*d, 2*d = -q*m + d + 12. Suppose m*s + 9 = -5*z, -2*z = 4*s - 2 + 8. Which is bigger: z or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 876.12 - 7.12. What is the second biggest value in 0.5, 1, -3, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*t - 14, -2*u = -7*u + 4*t. Suppose 2*w - 5 = 25. What is the remainder when w is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 1. Let g(s) = s**2 + 2*s + 4. Determine 2*d(c) - g(c).\nAnswer: c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d*f*l**3*u - d*l**3 - 5*d*l + 15*d*u - 8*d + 2*f*l**3 + 55*f*l*u + 7*f - 2*u wrt u?\nAnswer: -d*f*l**3 + 15*d + 55*f*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15958 or -47875\/3?\nAnswer: -15958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 7*a + 934. Let i = a - 306. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1130514 (base 6) to base 12.\nAnswer: -29a3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -283 - -466. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86 times 0.068\nAnswer: -5.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2984320 by -40.\nAnswer: 74608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-4))\/(4\/112). Let r(i) = i**2 - 5*i - 5. Let s be r(m). Solve 4*q + s = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 6.2, -1\/3, 1, 0.001?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5047 + 5049. Let y = -33 + 56. What is the third biggest value in n, -2\/7, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.4 (c) 0.552 (d) -2\/15 (e) 10\/7 (f) -1\/2 (g) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*f - 61 = -2*f, -4*t = -3*f - 55. Let s(r) = r**3 + 3*r**2 - 13*r - 6. Calculate the remainder when s(-4) is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 - 47*c**3 - 6*c**2 + 460*c + 600.\nAnswer: (c - 5)**2*(c + 2)**2*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1497 + 1501.022. Let p = -26.8 + 26.822. Let y = p - z. Which is the third biggest value? (a) y (b) -2\/3 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a day in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f - 3*f)*(-2 + 0 + 4)*(-7*f**2 + f**4 + 7*f**2)*(-2 - 1 + 1).\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4433*f**2 - 26601*f - 24. Give m(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23226079?\nAnswer: 79, 294001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*(-4)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 9350*o - 1016411. Calculate n(-110).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 2*t - 28, -15526*x - 5*t = -15558*x - 217 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/((-1265)\/(-250) - 5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 18606069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 14 - (-308)\/20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 3*x**2 - 4*x - 2. Let i be o(-3). Suppose -1 + i = 3*s. Suppose 2*n = 2*f - 20, f = -s*n - 2*n - 20. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-15) + (-1144)\/(-10). Suppose 3*j - 5*j + c = 0. What is the remainder when j is divided by 2388\/84 - 4\/(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(72)*-3)**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72819296 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 - 8*l**2 + 6)*(-4 - 2*l**3 + 4) + (3*l**3 - 3*l**3 + 2*l**3)*(-3*l**2 - l**2 - 3*l**2) + 5*l**5 - 3*l**5 + l**5.\nAnswer: 5*l**5 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -66696 divided by 3?\nAnswer: -22232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293449 less than or equal to 2293447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -22 - (4 + (-5 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2054 - -2053.94. Let s = -1301\/78 - -101\/6. Let w be 10\/6*(-8)\/20. Which is the biggest value? (a) s (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*d + 378 = 0. Let j be d\/(-12)*2\/(-1). Suppose -2*v + 21 = -j. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 23*d - 3*d = 1234425. Round d to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 31*l**2 + 35*l - 132. Determine k(30).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 295, 296, 297, 298, 299?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 5*s - 2. Let y be d(5). Suppose 5*n = 5*i - 15, n + 4*i = 2*n + 9. Which is smaller: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 10 - 15 = 0. Suppose -4*l + 13 - w = 0. Let m be ((-11)\/(-3))\/(l\/6). What is the greatest common divisor of 22 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54202 and 3198?\nAnswer: 2113878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k - 6. Let s(l) = -2379*l. Determine s(g(o)).\nAnswer: 9516*o + 14274","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -cb - -12?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 + 2.99. Let c = -4 + 1. Let s = -2.7 - c. Sort s, b, 5 in ascending order.\nAnswer: s, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123525036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7457 to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167 - 93. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n**4 - 9 + 21*n**4 + 6*n**2 - 4*n**2 - 29*n**4 + 8*n to h*n + w*n**2 + c*n**4 + y + a*n**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/(-64)*(0 - (-257319)\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**4\/2 - 11*h**3\/2 + h**2\/2 + 11*h\/2 = 0.\nAnswer: -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7587 - 7379. What is the greatest common factor of m and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/(w**(-9)*w)*w*w**(-6)\/w)\/((w\/(w*w\/(w**(-2\/9)*w)))\/w**15) assuming w is positive.\nAnswer: w**(182\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2004*g + 33071 - 33389 - 49030 - 38828 for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -479*n**4 - 3*n**3 + 4*n**2 + 13919*n.\nAnswer: -5748*n**2 - 18*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 2*n - 555. Let f = n + -64. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43563 = -4*d - 2*f - 43579, d = -f - 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0, 4, -3\/19, -2\/7 in descending order.\nAnswer: 4, 0, -0.1, -3\/19, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1221*h - 838*h - 1071*h)*(6*h + 3*h**2 - 6*h + (-3*h + h + h)*(3*h - 4*h + 2*h)) to the form g*h**3 + p*h + x*h**2 + c and give g.\nAnswer: -1376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, w: 1, p: 1, e: 1, y: 1}. Give prob of sequence wy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6612515 and 1015.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.23425566*0.5\nAnswer: -0.11712783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35699\/1783269 - -186630800467\/48627962361. Let m = y - -2\/7437. Calculate the common denominator of m and 29\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 361.3253 milligrams to nanograms.\nAnswer: 361325300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnqindiniv. What is prob of picking 1 q and 1 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + o**2 + o**3 + (4*o - o - o)*(0*o**2 + 6*o**2 - 5*o**2) - 2 - 2*o**2 + 708*o - 7*o**3 - 708*o.\nAnswer: -4*o**3 - 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbdbddbbddbb. What is prob of picking 2 b?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*t - 6 + 3 + 7 as i + k*t and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1242298 is divided by 195?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 6:30 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*a - 69 + 47 + 27)*(3*a**2 + 8*a**2 + a**2).\nAnswer: -504*a**3 + 60*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) 732 (b) 4\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -1)\/(((-28)\/8)\/(-7)). Calculate the remainder when (-163)\/o + 60\/(-16) + 3 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*s + 2*s - 22, -c = -5*s + 17. Suppose m + c*a - 460 = a, 0 = -4*a. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - 5*j**2 - 2. Suppose -3*b + 120 = -v, 3*v - 5*b + 527 - 155 = 0. Let w = v + 264. What is the remainder when w is divided by s(4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**(-1\/7))\/s)\/(s\/s**(1\/5))*s**3\/(s*s**(1\/13)) assuming s is positive.\nAnswer: s**(1031\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-35)\/(-14))*12\/(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = -n, 5*d - 4*n = -6 - 0. Let v be (7\/28*-4)\/((-1)\/d). Suppose v*p - 6729 = -p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6354 + -4221. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 0\/(-1))*-40. Suppose 0 = -14*j + 153 + 407. Calculate the highest common factor of j and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j - 6. Let o be s(-3). Suppose -o*c + 577 = 2*c - g, -c + 122 = 2*g. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 1:18 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 99 = -3 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2656234?\nAnswer: 2, 7, 337, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1.07, 1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -56*k**3 - 2094*k**2 + 3510*k - 13. Calculate i(-39).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5838\/66 - 6\/(-11). Solve 98*f = c*f + 36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303258 is divided by 1827.\nAnswer: 1803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 - 2*s**3 - s**3)*(3 - 3 - 2*s + (4 + 0 - 3)*(-3*s + 3*s - s)).\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n. Let s(j) = j - 372816. Determine s(k(v)).\nAnswer: 5*v - 372816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209499.\nAnswer: 3, 69833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 9:17 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - -41. Is 1\/((-6)\/68*i\/9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -563 (b) 0.2 (c) 4 (d) -3 (e) -3\/7 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, -6, -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2. Let f(h) = 16 + 22 - 5*h - 47. Determine b(f(y)).\nAnswer: 25*y**2 + 90*y + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -993\nAnswer: 5958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 2, -1\/9176?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 5*(sqrt(125) - (sqrt(125) + -1)) - (-3*(sqrt(125) - sqrt(125)*-2) - -5*(1 + sqrt(125))))*6)**2*-4.\nAnswer: -288144 + 5760*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/(-162) + 590\/(-450))*(-36 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1207.908 + 1208.5. Is i at most 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -40520 + 3?\nAnswer: -4051d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -12*d**3 - 6*d**2 - 3*d + 8. Calculate l(-2).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250 and 950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -11*a - 1. Let i be (-810)\/99 - 4\/(-22). Let u be (-2)\/i*-2*104\/26. Determine y(u).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 164 = -44. Calculate the remainder when 178 is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*h**4 + 108*h**3 + 160*h**2 + 48*h.\nAnswer: 4*h*(h + 2)*(h + 3)*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -359*u. Is g(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 21?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 120513 + -71192. Is h a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33708438*a - 33708438*a - 3 + 3 + 26928*a**2 to b*a**2 + u*a + w and give b.\nAnswer: 26928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2. Suppose 0 = -132*m + 133*m - 3. Let a(y) = y**3 - y - 5. Let d(v) be the first derivative of v**2\/2 + v + 1. Determine h*a(k) + m*d(k).\nAnswer: k**3 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -1)*-2 - ((sqrt(128) + -2)**2 - sqrt(128))) + sqrt(200) + (sqrt(98) - (sqrt(98) - (sqrt(98) + -1 + sqrt(98))))**2.\nAnswer: 20*sqrt(2) + 263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399684 is divided by 36330.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -696 + 696. Let w(h) be the third derivative of 5*h**2 + 0 + 1\/30*h**5 + o*h + 1\/3*h**3 - 1\/8*h**4 + 1\/120*h**6. Determine w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15723446\/531 - -29611. Let t = a - 4694\/9027. Do t and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 166 - 170. What are the prime factors of (3\/p)\/(66\/(-69256))?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1223ed - -1?\nAnswer: 1223ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7\/19, 0 in decreasing order.\nAnswer: 2, 7\/19, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -718a76 + 92?\nAnswer: -7189a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 648 + -653. Which is the closest to -2.8? (a) -0.5 (b) k (c) 0 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z + 52 = 2*i, 0 = -3*i + 5*z + 97. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.2 + 2.8. Let l = 1.0002 - 0.0002. Is l greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402237524 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331328437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3674511 (base 8) in base 14?\nAnswer: 1c57cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 208906 + 59646 = -24*h. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -12*s - 67. What is the units digit of m(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 2\/5, -8\/1517 in decreasing order.\nAnswer: 2\/5, -8\/1517, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 26. Suppose -k + t = 17. Which is greater: k or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -8. Suppose 5*o = n + 3*n + 241, -2*n - 98 = -2*o. Calculate the greatest common factor of t and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**4)*((y\/(y*y**(-19)))\/y)\/y*y*(y**(1\/2)\/y)**(-13) assuming y is positive.\nAnswer: y**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21370 + 20213.7. Round b to the nearest 10.\nAnswer: -1160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2298 and 74302?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 - 68?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3237141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/6*(-15)\/(-10). Let w(r) = 3*r**2 - 9*r. Let p be w(v). Solve 3*n + p = 6*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2 + 6 - 5 + x. Determine s(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s + 3. Let b be t(4). Let w = -4 - b. Calculate the lowest common multiple of (-9)\/w*15\/1 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 76 = 5*d, 3*d - 4*f - 30 = -0*f. Suppose -o = -39 - d. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 + 0*w**3 + 28*w**3 + 0*w**3.\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*i - 66*i = 32. List the prime factors of (8 - i) + 410 - 3\/1.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 2626661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 80, 198, 394, 668?\n\"Answer: 39*t**2 + t + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13923 - 13922.999980681. Round f to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -0.309.\nAnswer: -17.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*2*(-13)\/((-234)\/(-9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -540 - -550. Calculate the greatest common factor of 230 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2 + -11)\/(485\/81 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o + 30*o = 10. Let b be 0\/(o - (3 + -1 - 2)). Factor b + 1\/3*f**2 + 0*f.\nAnswer: f**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 95\/10 - 3)*434. Let u = 118 + i. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89796 + 89805.6959. What is b rounded to one dp?\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**5\/105 + n**4\/14 + 21*n**2. Factor w(f).\nAnswer: 4*f*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1771308 - 1771266.50764. Let w = 41.5 - t. What is w rounded to 4 decimal places?\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 362 + -107. What is the remainder when o is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/37 - (-4623)\/38295. What is the nearest to -2 in 0.3, -1\/7, n?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, c: 7}. Give prob of picking 2 b.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -125333 + -0.3?\nAnswer: -125333.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 6.3. Let x = 0.2999962 - w. Round x to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-196)\/686*(-392)\/176?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -61 and -0.1299?\nAnswer: 60.8701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 12*r + 150. Let u be o(-13). What is the biggest value in u, -3, 0.2, -5\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 9*v - 2*v - 48 + 9*v.\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208828 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 9:53 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**4 - 20*t**3\/3 + 72*t**2 - 3038. Suppose y(d) = 0. Calculate d.\nAnswer: -9, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 23*k**2 - 38*k - 436. Calculate the least common multiple of 28 and z(-8).\nAnswer: 9380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14495 or -812?\nAnswer: -812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*r = -148*r + 6. Put -1, -2, r, 7 in increasing order.\nAnswer: r, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {b: 1, i: 3, d: 3, j: 1, v: 5, c: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1216 = -81*m + 77*m. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g + 1. Let l(f) = 7*f - 3. What is -5*a(x) - 2*l(x)?\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 14606786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - 9139\/(-209))\/((-4)\/1).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1004793831 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/8)\/((-2067)\/954).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 156272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 3) to base 16.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -52*h - 2. Let y(m) = -m**2 - 3*m. Let k(p) = -p**2 - 4*p. Let w(o) = -3*k(o) + 4*y(o). Determine t(w(d)).\nAnswer: 52*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -226\/2145409 or 0?\nAnswer: -226\/2145409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010110 + -1010?\nAnswer: 1101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -709, -708, -707, -706, -705, -704?\n\"Answer: k - 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = z - 2*z. Let c = 5 - z. Let s be 107640\/2700 - (0 + (-2)\/15). What is the highest common factor of s and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 573*s = 576*s + 5*w - 1275, 5*s - 2151 = -4*w. What is the highest common factor of 270 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5444 - -0.0214. Let v = 0.59 + y. Let z = v - 0.07. What is z rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - -0.3. Let o = 1.4 + -1.8. Let n = o + 0.5. Is b at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 2\/2 - (-16 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 520 + -520. Suppose 3*l + 0 = -t. Solve l = -10*j - 20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1191*10\/120 - 3\/4. Let z be 18\/32*n\/(-15) + -4. Sort z, 13, -6\/5 in ascending order.\nAnswer: -6\/5, z, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2326545 is divided by 32768.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 42091.76456677 and 0.087.\nAnswer: 42091.85156677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 763818 and 0.4?\nAnswer: 763817.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 5*z**4\/24 + 16*z**3\/3 + 43*z**2. Let n be o(-6). Is ((-3)\/6)\/((n + -5)\/2874) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200\/(-102) - 8\/15*27\/1404*-65?\nAnswer: -22\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5 + 13*f**4 + 26*f**3 - 40*f**2.\nAnswer: f**2*(f - 1)*(f + 4)*(f + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -4225011\nAnswer: 12675033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 43*v**6\/6 - 7*v**3 - 7*v + 610. What is the third derivative of b(h) wrt h?\nAnswer: 2580*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3192.1 - -3192.6. Sort 2\/3, -0.253, m in decreasing order.\nAnswer: 2\/3, m, -0.253","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0.3, 4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7262*t + 50 = -7267*t - 5*o, 4*t + 3*o = -39 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-11) - 48\/(-22). Let z be 9770 + g + 1\/(-1). Suppose 2*b = z - 771. What is b rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 17*o + 44. What is h(-10)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 53*t**7\/665 - 97*t**6\/1140 - 59*t**5\/570 - t**4\/76 - t**2 - 215*t + 4. Suppose z(f) = 0. Calculate f.\nAnswer: -1\/3, -3\/53, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 9:31 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*k - 128 = 565 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 88*p - 10390. Calculate f(-155).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 84\/36*(-4)\/14\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*q**3 - 1695*q**2 + 2061*q - 621 = 0. What is q?\nAnswer: -69, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 11, 69, 183, 371, 651, 1041?\nAnswer: 1559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55931\/5 + -671099\/60. Find the common denominator of q and (0 - 1) + (-508)\/(-240).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u + 1. Suppose -i = -j + 6 - 2, 0 = -3*j - 5*i - 4. What is g(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -166, -2, 3 in decreasing order.\nAnswer: 3, 0, -2, -4, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 2*o + 5*o**2 + 0*o**4 + 0*o**3 + 148\/5*o**5 + 136. What is the second derivative of p(u) wrt u?\nAnswer: 1776*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**4 + 24*f**2 - f + 4 wrt f?\nAnswer: 24*f**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(832)*-2*4)**2.\nAnswer: 1331200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -210.99999626 - -211. What is g rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a day in minutes?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18091331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 21*f = 18*f - 24, 0 = 5*i + 2*f - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52481\/98 - -1071\/2. Put -37, 0.5, r in ascending order.\nAnswer: -37, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57? (a) -1.1 (b) 1\/7 (c) -5 (d) 3 (e) 3\/145\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-96738)\/126 - (-6)\/14)*-6. Suppose -25*w + g = -21*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11508, -1\/4, 2, -1, -3\/7, 2\/7 in increasing order.\nAnswer: -1, -3\/7, -1\/4, 2\/7, 2, 11508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 759 divided by 11.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, l: 3, o: 5}. Give prob of sequence ss.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - o**2 + 6*o + 5. Calculate the remainder when 54 is divided by i(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/10 + 810\/25)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 32 = 2*i, 0 = 15*h - 16*h + 4*i + 24 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3670 - -3678. Calculate the remainder when 11 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a millennium in centuries?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2541487 litres?\nAnswer: 254.1487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3126953 and -0.45?\nAnswer: -1407128.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) + 16\/3. Let k = -30.6 - -31. What is the biggest value in 0, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 29124571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -8. Suppose 0 = -3*t + 2 + 4. Which is the nearest to -1? (a) t (b) f (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + 2*u**3 + 2*u)*(u + 0*u + 0*u + (6*u - 3*u - 4*u)*(-4 + 1 + 0))*(1 + 3 + 2) in the form i + k*u**4 + p*u**2 + v*u + w*u**3 and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49324 and 400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 194523 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 44*s + 331. Let o be b(-9). Calculate the greatest common factor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2400 is divided by 591?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13336\/(-24)*(-3 + 3 + -2). Let c = 976859\/879 - w. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 26 + 31)*(-3*a - a + 3*a)*(6 + 1 - 2).\nAnswer: -80*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**7\/2520 + u**6\/480 - u**5\/240 - 5*u**4\/24 - 4*u**2. Let l(m) be the second derivative of x(m). Find i such that l(i) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*y + 22. Let f be y + 4\/(-1) + 3. Solve 8 = 2*c, -f*l + 2*c + 0*c = 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(-3)*45\/(-30). Let k(n) = -n**2 + 7*n + 18. Let u(s) = -3*s**2 + 22*s + 53. Let z(q) = 8*k(q) - 3*u(q). Determine z(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176402589.\nAnswer: 3, 11, 223, 23971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 222430 (base 5) to base 11\nAnswer: 5a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(13) - (sqrt(117) + sqrt(13)) - sqrt(13))*5 + (sqrt(39)\/sqrt(3)*-1)**2.\nAnswer: -20*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.08 and -431.4484647?\nAnswer: 431.5284647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -691*a - 2610 = -865*a. What is the remainder when 4949 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143478 divided by -18.\nAnswer: 7971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 213061247.691 - 2.777\nAnswer: 213061244.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23511386 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06403 rounded to three decimal places?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1111560?\nAnswer: 2, 3, 5, 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*958619\nAnswer: 383447.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*p**4 - 74*p**3 + 1009*p wrt p?\nAnswer: -108*p**2 - 444*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/(-261) - (-1196343)\/87 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**2\/2 - 2*h - 2. Let w be g(-5). Suppose -5 = j, -w*p = 5*j + 22 - 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-78)*12\/8.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 1\/6*t**3 + 13*t + 0*t**2 + 0. Let l(j) = 18*j**2. Calculate h(l(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2\/2 - 11927405*y\/2 - 107345835.\nAnswer: -5*(y + 18)*(y + 2385463)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.2 + -8. Let z = n + -2. Sort z, -5, -5\/3.\nAnswer: -5, -5\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 9*f + 7. Let r(i) = 26*i + 21. Let a(l) = -17*n(l) + 6*r(l). Let v be a(-2). Let g(b) = -b - 3. Let w(o) = 2 - 2 + 1. Give v*w(t) + g(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*d, d = -2*d - 2*f. Solve d*a = -a + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.3, 0.5, -1\/43, 68.48, -4, -1\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 + 89*w - 118. Calculate the lowest common multiple of m(43) and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3027515405.0001094 - -3027515111. Let q = 294 + u. What is q rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + 1. Let y = k + -9. Suppose 2*n + 29 = -5*v, -18 = 2*v + y*v - n. Sort v, 1, 2 in increasing order.\nAnswer: v, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2108469257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/4 - (471 - 477)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1118, -1154, -1188, -1220?\n\"Answer: y**2 - 39*y - 1080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 47. Let m be d(-14). Let r = m - -34. Let c(u) = 56*u + 2. What is the units digit of c(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20178 and 48222?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 7 - 4) + 1. What are the prime factors of 3\/(-9) + d\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12397636.\nAnswer: 2, 3099409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 296.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2176061*k**2 - 4352143*k**2 + 2176093*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1848064?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78969805 is divided by 151865.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 greater than or equal to -0.0278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.5 in 4\/7, -27, -1\/5, 1369?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -83*s**3\/3 - 27*s**2\/2 - 2*s + 1. Find the second derivative of v(o) wrt o.\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 1:24 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 5*g**3\/6 + 7*g**2\/2 + 3*g. Is d(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - r + 396 = 0, 4*f - 156 = -4*r + 228. Round f to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -210.148 - -210. Let w = -7.148 - v. Sort 9, 0, w.\nAnswer: w, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {k: 9, r: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712357643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/(-70)*(1 - 35\/42). Which is the second biggest value? (a) -128 (b) i (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-644)\/(-414))\/((335\/10)\/(-67)).\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6) - 374\/12. Let w = 435\/14 + f. Determine y so that -2\/7 + 4\/7*y**3 + 0*y**2 - w*y + 2\/7*y**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -17*z**2 + 287*z - 235. Let l be g(16). Solve -27\/5*y**4 - 21\/5*y**l - 18\/5*y - 33\/5*y**2 + 0 + 99\/5*y**3 = 0.\nAnswer: -3, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.10325 - 0.20325. Let g = 0.09 + -0.01. What is the nearest to g in 1, -2\/11, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58609*y + 3*y**2 - 58609*y - 13 to v + z*y + u*y**2 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28661592?\nAnswer: 2, 3, 17, 70249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55027 and 2531242?\nAnswer: 2531242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 1146 = -33. List the prime factors of z.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -52. Suppose -3*f + 16 = -t. Let j = f - 8. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 729387910 to the power of 1\/3, to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1047\/15007)\/(1\/(-3) + (-20)\/(-6))?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/8*56 - -2. Let w = 17 - b. Is -13 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.57791 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 736\/(-84) - (-3)\/(-1). Let k = g - 24\/7. Which is the nearest to 1? (a) -3 (b) 2\/11 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-26)*(-28)\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 0*k + 1\/26*k**4 + 2\/39*k**3 - 2\/13*k**2 + 1. What is x in f(x) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7712.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1914\/5 + -383. Put -4, 3, -58, f in descending order.\nAnswer: 3, f, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*v = -350, 8*v = -3*s + 3*v + 226. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -111.\nAnswer: -28\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -449 + 0*a + 448 + 2*a + 8*a**4 to the form n*a**2 + v*a + c*a**3 + r + w*a**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-1))\/((-39)\/(8073\/276)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from udvuq. Give prob of sequence uuuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498 bigger than 1936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 6*g = 0. Let m(h) = h**3 + 31. Is m(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -755 + 754.6. Which is the closest to 1? (a) 0.2 (b) 13\/3 (c) h (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 13*q**2 - 68*q + 48. What is the tens digit of u(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -31, -4, 2\/7, 102, -5, 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)\/sqrt(7)*-2 - sqrt(187)\/(sqrt(176) - sqrt(11))) + -4 + -5)**2.\nAnswer: 42*sqrt(17) + 1562\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16 + (-4428)\/280 + (-74)\/(-740). Factor -s*c**2 - 4*c - 48\/7.\nAnswer: -2*(c + 2)*(c + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 34, 35, 36?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 53\/2*q - 702*q**2 + 2809\/4 - 1\/4*q**4 - 53\/2*q**3 = 0.\nAnswer: -53, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -105838.0999 to the nearest 10.\nAnswer: -105840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -7. Suppose 3*v + 7 = -o. Is 108 + 3 + (-6 - v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13677085*u**3 - 519*u**2 + 519*u**2.\nAnswer: 13677085*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, -232, -1058, -2732, -5536, -9752, -15662?\nAnswer: -23548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**18*t**(-8)\/t assuming t is positive.\nAnswer: t**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -447 - -29. Let v = l + 417.99606. What is v rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.6 - -3.4. Let b = u + -3. What is the nearest to 0 in b, 12, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*f**3*v**2 + 167*f**3 + 3*v**2 wrt v?\nAnswer: 24*f**3*v + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b + 9. Let r be p(4). Let y be ((-12)\/(-18))\/(2\/r). Let g be ((-24)\/(-20))\/3*y. What is the biggest value in -3\/4, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6305*u - 7350*u - 2074*u as i*u + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2828, -3419, -4010, -4601?\nAnswer: -5192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6648 - 19459\/3. Let p = 161 - j. Which is the nearest to 1\/4? (a) 3\/5 (b) 2\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001010101100001011 - 1000?\nAnswer: 11001010101100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.36 - -2.36. Let o be 4\/(-8) + 13\/6. Which is the nearest to -3? (a) q (b) o (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**3 + z**3 - 49*z**3)*(4 - 4 + z**2 + (0*z - 3*z + 2*z)*(9*z + 5*z - 2*z)).\nAnswer: 583*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 15, 4*o - h - 29 = 3*o. Let k(z) = -z - 4. Let a be k(-4). Suppose 0*p + 5*p - 180 = a. What is the highest common factor of o and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 567\/(-117) + 2\/(-13). Sort -1, 0.2, u in decreasing order.\nAnswer: 0.2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a - 1. Let c be v(6). Suppose 16*p + 6 = c*p. Solve 3*u - u + p = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -27711, -196 in decreasing order.\nAnswer: 14, -196, -27711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 26. Suppose 100 = -3*b + 8*b + 4*d, 4*d = 2*b - 40. Let z = b - v. Calculate the lowest common multiple of z and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 5, i: 13}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 38*l**2 + 2926*l - 9. Determine a(-77).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, p: 1, c: 2}. What is prob of picking 1 q and 2 c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 627*x + 292183. Determine j(-466).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 302 + 299 + 123*o + 308 + 309 - 1215 to the form w*o + l and give w.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -197*d**3 - 4*d**2 - 2*d + 168. Let x(k) = 198*k**3 + 6*k**2 + 3*k - 169. Let i(g) = -3*v(g) - 2*x(g). What is the derivative of i(f) wrt f?\nAnswer: 585*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -10.1.\nAnswer: 30.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*x**2 + 3*x + 10002 - 10002 - 31*x**2.\nAnswer: -79*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 - 8*h. Let u(v) = 42*v**2 + 138*v + 33. Let a(s) = -5*s**2 - 17*s - 4. Let k(q) = 33*a(q) + 4*u(q). Give 4*k(y) - 5*r(y).\nAnswer: 2*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + (-52 - -47).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -150443 (base 8) to base 16\nAnswer: -d123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*(16\/2)\/(-8)*(6 + -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 978719275 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -306\/61 - 259301\/610. Let m = y + 431. Find the common denominator of 28\/(-8)*(-95)\/7 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2 + 594*f - 279. Let c(m) = m**2 - 198*m + 80. What is -7*c(z) - 2*t(z)?\nAnswer: -z**2 + 198*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 24 = 18. Suppose -y + 3*o - 2*o = -41, -3*o - 164 = -4*y. What is the remainder when y is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 699 - -2?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:27 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**4\/8 + 2*r**2 - 24. Let n(g) = -12*g - 1. Determine -9*l(y) - 2*n(y).\nAnswer: -3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 151964680 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1432, 1355, 1192, 901, 440, -233, -1160?\nAnswer: -2383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2704352206.\nAnswer: 2, 27367, 49409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 5, 4, -1, -3 in ascending order.\nAnswer: -32, -3, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14389 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -357 - -361. Solve p*u - 8 = -4*m, 2*m = -10 + 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206675*i = -206632*i - 86 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 495173557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6053162 from 68472460.\nAnswer: 62419298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -35, -112, -259, -500, -859?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188111343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 0 - 1\/6*b**4 + 1\/6*b**5 - 4*b - 11\/3*b**3 - 22\/3*b**2 = 0?\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7)*a**(-2\/7)*(a*a**(-1))\/(a*a**3))\/(a**9\/a**(-4)*((a\/(a**(-8)\/a))\/a)\/a**(-7)) assuming a is positive.\nAnswer: a**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3283.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12919 - 12898. Solve -270*l + 273*l = p for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7735580 divided by 6\nAnswer: -3867790\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-39)\/(-2) + (-15)\/(-6). Suppose 3*q = 2*t + 18, 4*q + 3*t - c = 5*t. Solve -3*u + q = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 47*t**2 - 2*t - 83. Let p be q(-47). Solve 0 = 22*u - 77 - p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0642 and 2.511541.\nAnswer: 2.447341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -7. What is the remainder when 2\/d + (-23)\/(-3) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01188491 rounded to four decimal places?\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35372564?\nAnswer: 2, 8843141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -7561756?\nAnswer: 7561756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -556 - -556.487. Let l = -6.337 + p. Round l to 1 decimal place.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272676840 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 1:57 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 22 = 5*g. Let l = -2 + 1. Let f = l - -7. Solve -g*v + f - 26 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138569 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**3 + 2*m**2 + 4 + 2*m - 3*m**3 - 4*m. Suppose 5*s + 3*a + 4 = -11, 12 = -4*s - 4*a. Let h be i(s). Which is smaller: -2\/5 or h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -22029\nAnswer: -4\/22029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80036.\nAnswer: 2, 11, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 138 + -137. What are the prime factors of 184 - m*(3 + -5)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 6*v + 6. Let x be (-6)\/12*0\/(-2). Suppose 18 = 6*q - x*q. Suppose y - 18 = -2*f - 2*y, -q*y - 6 = -2*f. Determine r(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 + (-57)\/(-9) + -3. Suppose 5*l + 5 = k - 9, -l - x = k. What are the prime factors of 126*(0\/(0 + k) + 1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(60711\/882 - 68)*(-1 - (-122)\/5).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -280, -487, -698, -913, -1132?\nAnswer: -1355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 + -34745075?\nAnswer: -34745092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 4*k + 0*k)*(816 + 10141 - 654) as z + j*k and give j.\nAnswer: 10303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/19 + 2450*c**3\/19 + 837726*c**2\/19 + 51875982*c\/19.\nAnswer: 2*c*(c + 79)*(c + 573)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -202 greater than or equal to -194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 5*a**2 - 3*a. Let x be k(5). Let w = 12 + x. Is -3 + (-3)\/w - -39 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**2 + 2*h - 1. Let u(y) be the first derivative of -2*y**3 + y**2 - 2*y - 152. Give -5*c(p) + 4*u(p).\nAnswer: p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 + -81.3. Let k = 6.7 - x. What is the biggest value in 17, k, -5, 0?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/196 and -79\/124144.\nAnswer: 6083056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 920, 672, 252, -346, -1128?\nAnswer: -2100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(4\/2) + -1. Let t(f) = -38*f**3 - 2*f**2 + 2*f - 2. Let u be t(i). Let g = 522458 + u. Round g to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.32 - -61.58. What is r rounded to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0 - 1\/24*a**4 - 5*a**2 + 0*a + 1\/3*a**3. What is j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/8 - -1 - (-2)\/(-8). Let n be (-2565)\/(-540) - 5\/(1 + 0). Which is the second biggest value? (a) n (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - (-4 + 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 14 + -66 + (-1 - -16)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Work out -2140968392 - 1.4.\nAnswer: -2140968393.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25098563.\nAnswer: 7, 19, 188711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 105144 divided by -312?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, z: 4, g: 4, p: 1}. What is prob of sequence pgr?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -0.3, -6.1, -1\/2 in increasing order.\nAnswer: -6.1, -1\/2, -0.3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7430 divided by 2.\nAnswer: -3715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -2*o + 25, -48*o = 4*k - 44*o + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5045?\nAnswer: 5, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*c**3*d*i*t + 16*c**3*d*t**3 + c**2*d*t**2 + 289*c*d*i*t**3 + c*d*t - 44*t**2 wrt i.\nAnswer: 8*c**3*d*t + 289*c*d*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 518 + -540. Which is the third biggest value? (a) -0.4 (b) 2\/9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -128690, -257646, -386602, -515558, -644514?\n\"Answer: -128956*y + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, 1.6, -1, 1\/2 in increasing order.\nAnswer: -131, -1, 1\/2, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-51)*-29*165\/(-3190)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5987\/9995 - -2\/1999. Which is the second smallest value? (a) -0.2 (b) -2 (c) 4 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 120, 204, 288, 372?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66702.72mm to nanometers.\nAnswer: 66702720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 651661631\/197908 - 16\/49477. Let q = 3272 - d. What is the common denominator of q and 63\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-4)\/2)\/(2\/1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -237, -214, -189?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*a = -72376, 938*a - 934*a = 3*b - 217096. Is 166 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 4)\/(9\/(-36)) - 0. Solve -4*c = -4*z + 8, 3*z = n + 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -18*g + 5. Let z(t) = -t**2 + 5*t - 3. Let m(v) = v - 1. Let j(q) = -3*m(q) - z(q). Let o be j(4). Is k(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156940521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u**2 + 55*u - 255. Let y(d) = 17*d**2 - 109*d + 563. Let b(t) = -7*h(t) - 3*y(t). Factor b(w).\nAnswer: (w - 2)*(5*w - 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 7*d - 7 = -24, -4*u = 3*d + 48 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 + 1 + (-4 - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 115 + 80 = 0. Let n be 12\/(-7) - (5 - 99\/21). Sort n, f, 3, -1 in descending order.\nAnswer: 3, -1, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 17*u + 50. Give x(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.21 times 1?\nAnswer: -4.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4*(-5 + sqrt(612)) - sqrt(612) - sqrt(612)))**2.\nAnswer: -1512*sqrt(17) + 22473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*k**3 - 37*k**3 - 54*k**3 + k + 158*k**3 + k.\nAnswer: 24*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 100*l**2 - 128*l + 250. Give p(2).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*g + 3*g - 5*i, -i - 11 = -4*g. Let s(y) = 3*y - 7. Let a(z) = z - 3. Give g*s(n) - 5*a(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*l**2 - 66*l**2 + 29*l**2 + 16*l**5 + 21*l**2 wrt l.\nAnswer: 960*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18094, 72364, 162770, 289306, 451966, 650744?\n\"Answer: -m**3 + 18074*m**2 + 55*m - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 215553\/34 - 6317. Let n be 380\/(-153) - (-4)\/(-18). Let j = r - n. Find the common denominator of j and 69\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435374000.\nAnswer: 2, 5, 217687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -12, 4, -2\/3, -0.4, 22 in decreasing order.\nAnswer: 22, 4, 2, -0.4, -2\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**7\/105 + 49*q**6\/20 + 1621*q**5\/60 + q**4\/12 + 2167*q**2 + 2*q. Find the third derivative of v(b) wrt b.\nAnswer: 48*b + 1764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/78 and -77\/36?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 1.17767, -0.3, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 90.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/((-1755)\/(-66)))\/(54\/(-405))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 103, 152, 201, 250?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -6. Suppose 3*c - y*c = -132. What is the remainder when c is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (24 - 30)*(-257)\/2.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1421678130 rounded to the nearest one hundred thousand?\nAnswer: 1421700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 27*b**2 + 4*b - 6. Give z(-2).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22424831 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1*12798308\nAnswer: -12798308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1713, 3669, 5625?\n\"Answer: 1956*u - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 20.2. Which is the third biggest value? (a) 2 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a - 4. Let y(r) = -5*r + 5. Let n(x) = -5*h(x) - 4*y(x). Let u(s) be the second derivative of -5*s**4\/12 - 30*s. Calculate u(n(d)).\nAnswer: -125*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/84)\/((-25)\/700)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 379930150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1272 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/7 - 5\/(15\/(-1614)). Let s = 461 - m. Sort -5, 1, 0, s in ascending order.\nAnswer: s, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -4, -2824, -2, 216 in ascending order.\nAnswer: -2824, -4, -2, 2, 3, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q**2 - 3*q + 3. Let t be (328\/205)\/((-6)\/15). Let p(l) = 9*l**2 - 2*l + 2. Give t*u(k) + 6*p(k).\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.063 and 0.2.\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4031\/1339 or 3?\nAnswer: 4031\/1339","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 17667689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -2*q - l + 5*l, -4*l = 20. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -278 + 274. Let g(z) = -31*z - 115. Let i be g(d). Solve -8*t + i*t + 5 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(((-4)\/(-10))\/(-2)). Let q(u) = -u - u - s + 5. Let y(x) = -3*x. Suppose -n = 4*n + 25. What is n*q(p) + 4*y(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 - -25816.46?\nAnswer: 25816.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -28?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -797.77 to the nearest ten.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 4*h + 18, 6*d + 8*h = -5*d + 14*d + 2*h - 36 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w**2 + 4*w**2 - 3*w**2 + (5*w - 3*w + 0*w)*(2*w + 0 + 0).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 81338071 to the power of 1\/2, to the nearest integer?\nAnswer: 9019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22818780899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -11*q + 746. Suppose q = 2*y - 1. Let j(m) = m**2 - 5*m + 3. Let l be j(7). Calculate the greatest common factor of y and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -145*c**2 + 96*c + 275. Give z(-3).\nAnswer: -1318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 5*i**2 - 6*i + 3. Let y be o(-6). Suppose -y*z + 2*a + 28 = -3*a, 5*z - 3*a - 20 = 0. Let t = -4 + 7. Put -1, t, z in descending order.\nAnswer: t, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -x + 18. Let p(f) = 4*f**2 - 13. Let j(l) = -l**2 + 3. What is x*j(g) + 6*p(g)?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 490.89 rounded to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, y: 2, h: 2, z: 1, g: 1, q: 1}. What is prob of picking 1 h and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1027 and 0.01513?\nAnswer: 15.53851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -175 - -176. Which is the third biggest value? (a) s (b) -5 (c) 3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1076, -1126, -1054, -734, -40, 1154, 2974, 5546?\n\"Answer: 21*g**3 - 65*g**2 - 2*g - 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 0 + 0*m**3 - 14*m**2 + 0*m - 5\/336*m**8 - 1\/24*m**6 + 5\/12*m**4 - 1\/4*m**5 + 1\/14*m**7. Determine v, given that p(v) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1339*r + 3618 = 1205*r for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 246218915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1300 is divided by 163?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 2*w + 25, -115 = -4*q + 10*w - 5 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*a**3 - 136*a**3 + 106625*a + 27*a**3 - 106625*a.\nAnswer: -133*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 85112356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Work out -151 - 43829.\nAnswer: -43980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 21 = 16. Sort 12, -4, l in ascending order.\nAnswer: -4, l, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 199682742?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -188 - -313. Let s = 125 - k. Suppose s = 3*a - 4*y - 240, 5*y - 344 = -5*a + 56. Calculate the least common multiple of 22 and a.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 3876?\nAnswer: -1\/1292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*u**2 + 21*u**2 + 26*u**2 + 23*u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-5) - (1 + -8). Let f(u) = u**3 - 6*u**2 - 8*u + 9. Let j be f(l). Solve -j*o - 2 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 325*x + 9*x**3 - 327*x + 8*x**3. Give n(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9070, -18191, -27320, -36451, -45578, -54695, -63796?\nAnswer: -72875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a*a**5*a*a*a**(-1)*a*a)\/(a**(1\/4))**(1\/6) assuming a is positive.\nAnswer: a**(287\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 10 - -25 - -7 - 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 17*d + 56. Is 4 a factor of o(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**3 + 111070*m**2 - 111075*m = 0.\nAnswer: -22215, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.2 - -2.7. Which is the second biggest value? (a) -0.1 (b) i (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*i = -2*w + 13, w = -4*i - 10. Let j(d) = -2*d**2 + 2*d. Calculate j(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1, 18, 103, 296, 639, 1174, 1943, 2988?\n\"Answer: 7*m**3 - 9*m**2 - 3*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 13. Let y(d) = d**3 - 6*d**2 - 3. What is y(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n + 260. Let h be q(-64). Sort 13, -1, h.\nAnswer: -1, h, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 158*v**3 - 15*v**2 + 7*v + 65. Let t(h) = 79*h**3 - 8*h**2 + 4*h + 34. Let s(z) = 4*n(z) - 7*t(z). What is the third derivative of s(c) wrt c?\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 12 = -5*a. Let m be -4 + a\/1 + 0. List the prime factors of (-4)\/m*(-18)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10524, -10530, -10546, -10578, -10632, -10714, -10830, -10986?\nAnswer: -11188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10)\/(u\/((u**(-1\/3)*u*u)\/u)))**(-17\/3) assuming u is positive.\nAnswer: u**(527\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**6\/360 + i**5\/60 - i**4\/24 - i**3\/6 - i**2. Let m(n) be the first derivative of t(n). What is the units digit of m(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6297704561 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5114654112 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 10*u = 6*u + 11462, 0 = 5*w + 4*u - 57230. What are the prime factors of w?\nAnswer: 2, 3, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 23*r + 17. Is c(22) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9930196 divided by -2228?\nAnswer: 4457","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 - 7*i**2 - 40 - i**3 - 24*i - 9*i**2 + i**2. What are the prime factors of r(-17)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, 2\/5, 80, 4, -1\/14?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 12, 5*v + 7312*u - 7314*u - 7 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -5346?\nAnswer: 5342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -12724, -6, -1113 in descending order.\nAnswer: -6, -1113, -12724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 20 = 8*k, 2*k = -5*w - 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:59 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28329 + -28258. Solve -25 = -23*h - n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5386445?\nAnswer: 5, 1077289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33, -105, -303, -693, -1341, -2313, -3675, -5493?\n\"Answer: -11*x**3 + 3*x**2 - 4*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 42. Let m = 16 - y. Solve 4*i = -7*g + 3*g - 36, -4*g - 28 = m*i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = 4*q + 60. Let t = q - -88. Let w = t - -3. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4*d + 20, 0 + 3 = -d. Suppose -b = b + n - 24, 0 = 2*b - n - f. What is the greatest common divisor of b and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/6)\/((-920)\/5497230). Is p greater than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 14*u + 23. Let i be z(-11). Calculate the greatest common divisor of i and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4946 - -18?\nAnswer: -492d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 4:33 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23a7 - -75?\nAnswer: -2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 24938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1339, 1\/4, -0.1, -2\/17, -20078?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2. Let k(v) = -22*v - 28*v + v + 6*v. Give k(f(o)).\nAnswer: 43*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*v - 23*v + 152 - 7042 = 41*v for v.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/a**(-6))\/a*a**4)\/((a**(2\/3)\/a*a)\/a)**15*(a**(3\/7)\/(a\/((a*a**(3\/2))\/a)*a*a))**9 assuming a is positive.\nAnswer: a**(89\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 8*o**2 + 9*o - 1. Let a be g(9). What is the remainder when 3 is divided by ((-6)\/(-9))\/(a\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/17 + 505696*a\/17 - 8091648\/17.\nAnswer: 2*(a - 16)*(a + 252864)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 4 = -16*g. What is the tens digit of (((-135)\/(-2))\/9)\/(g\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (-5165)\/10)\/(-423) - ((-6678)\/(-108))\/53.\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 5. Let v = i + 27. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-46)*(x**(-8\/3)*x)\/(x\/(x**(2\/7)*x*x)))**(-50) assuming x is positive.\nAnswer: x**(-47900\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3 - -15)\/36)\/(((-1)\/1)\/1563). Which is greater: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.34 from -682899098999.\nAnswer: -682899098998.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1115206*-2.7\nAnswer: -3011056.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -37*v + 3532. Determine f(93).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 40. Let w = u - 9. Let n = -6.7 - -7. Sort 4, n, w in descending order.\nAnswer: 4, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 26 = -5. Let z(k) = -k**2 - k + 1. Determine z(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 0.4, -2\/315, 5.1, 4\/5, 0.1, -0.06?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 6*t**2 - 3*t - 1. Let m(a) = 2*a + 11. Let x be m(-8). Give u(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 230.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37295 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: Three letters picked without replacement from dttokeeeekek. Give prob of picking 1 t, 1 o, and 1 d.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 905.4017839 + -905.4. What is w rounded to 5 decimal places?\nAnswer: 0.00178","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 11*f + 2. Let s be d(6). Suppose -a = -8 - 0. Let o be a\/(1\/(-4)*-4). Calculate the highest common divisor of o and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*h**2*j**3 + 2*h**2*j + 1664*h**2 + 3*h*j**3 + 90*j**3 + 38*j - 2 wrt h?\nAnswer: -26*j**3 + 4*j + 3328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + l - l + 12*l**2.\nAnswer: 12*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + -1 + 16 - (-12 - -4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/2 and 0 - 3\/((-99)\/(-75))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 4.071211?\nAnswer: -3.971211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 2*f**2 - 2. Suppose -u - 3*r = -4*r + 1, 4*u + 4*r - 20 = 0. Let k be n(u). What is the remainder when 14 is divided by 2 - (-3)\/k*-4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (190 - 211) + -2 + 98 - 19.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3874\/119 - 551\/17. Sort -85, -2, -2\/3, n in decreasing order.\nAnswer: n, -2\/3, -2, -85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -4, -2\/5, 1\/4, 25.9?\nAnswer: 25.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1298*q + 1290*q = 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -2\/9, -1.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10 (b) -2\/1565 (c) 5 (d) -36 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1361.00005424 + -1361. Round n to 6 decimal places.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 - 47.79\nAnswer: -89.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -940, -3, 4, -4\/7, 2\/19?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 = 15*i + 770 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11972 + -11968. Solve v + 4*g = 1, -r*g = -3*v + 7*v - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608714 to the power of 1\/2, to the nearest integer?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21.66, 1\/3, 15, 3.57 in ascending order.\nAnswer: -21.66, 1\/3, 3.57, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1667*l**2 + 3188*l?\nAnswer: -3334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 433*h + 2596. Give j(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/20 not equal to -957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -378 + 144. Calculate the remainder when j is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (36\/42 - 6) + (-1)\/(-7). Let q = -8 + 10. Suppose -3*r - 2 = 2*s, q*s + 8 = -3*r + 3*s. Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.04 (b) 428 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) -4\/9 (c) -8 (d) 1\/5 (e) 5 (f) -546\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 1, -5, 5, 78 in decreasing order.\nAnswer: 78, 5, 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128079258 to the power of 1\/3, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010111101 + 1000111100?\nAnswer: -100010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**8\/5880 + t**7\/1470 + t**6\/1260 - 2*t**3\/3 - 1. Let o(v) be the third derivative of g(v). Let o(r) = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7873 - -7893. Solve 15 = 3*l + 3*c, -2*l = -c + 5*c - y for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 1689961?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5681 is divided by 135?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-17)*112\/(-42)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9403441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4995025 divided by -2737\nAnswer: -1825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 = 13*y - 31*y + 1292 for y.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(17) + sqrt(17) + -2 + (sqrt(68) - (sqrt(68) + -2) - sqrt(68)) + -5 + 6*(sqrt(833) - (-4 + sqrt(833)))*-2 + -5)**2.\nAnswer: 3481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -9*h**2. Suppose 37*l = 11*l - 52. Let r(d) = 5*d + 1. Let s(n) = 68*n + 14. Let y(z) = l*s(z) + 28*r(z). What is y(a(m))?\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -18*j**2 - 700*j - 7. What is the hundreds digit of m(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3916, -4227, -4538, -4849, -5160?\nAnswer: -5471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1017)\/6*(1 + 10\/(-6)). Let g = -341\/3 + o. Which is the third smallest value? (a) g (b) -5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 24 + 4)*(101 - 254 + 93)*(2 - 2 + 2*g**2) to j*g + d*g**2 + w and give d.\nAnswer: 3720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3253.\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6 - 4 = 0. Let f(u) = 4*u**2 + 4 + 3*u - 9 + u - 3*u**2. What is f(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397272308 to the power of 1\/2, to the nearest integer?\nAnswer: 19932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 0*i**2 - 5*i**4 - i**2 - 9*i**3 - i**4 - 16*i**4 + 6*i**3 in the form b + r*i + w*i**3 + g*i**2 + z*i**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 17131.63 milliseconds?\nAnswer: 17131630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107 - -118. Suppose -1 - 2 = -2*m - o, -o + q = 4*m. Suppose 22*w - 27*w = -5. Sort 7, m, w in increasing order.\nAnswer: w, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7124541.000345 - -7124634. Let p = -4291 + 4384. Let b = p - i. What is b rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(3\/(-6)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33311 (base 4) in base 11?\nAnswer: -841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6271 + 6269. Let g(y) = 3. Let r(t) be the third derivative of t**4\/24 - t**3\/3 + 3*t**2. What is s*g(b) - 3*r(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xttatstb. What is prob of picking 1 b, 2 t, and 1 a?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from ulphp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 13) in base 11?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 9\/(-3) + 0 - -9. Suppose -3*c = -z - 56, k*c + 5*z - 100 = 4*c. Let t = 47 - c. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -392, -722, -1046, -1364, -1676, -1982?\nAnswer: -2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10 = 10. Calculate the least common multiple of (-4)\/6 - 261\/(-27) and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, a: 1, c: 1}. Give prob of sequence ea.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 3. Solve -u + 2 = -x - 3, 5*u = -c*x - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1781582, -1781576, -1781570, -1781564?\nAnswer: -1781558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 15) + (32 - 25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4550, -17956, -31362, -44768, -58174, -71580?\n\"Answer: -13406*f + 8856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -53270 - 2?\nAnswer: -53272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 161*x - 316. Determine m(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 0*s + 2*q - 12, -5*q + 32 = 3*s. Let m = s - 0. Let l(w) = -w**2 - 7*w + 8. Let a be l(-8). Solve a = 4*r + j - m*j + 16, 5*j = -5*r - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((2\/28)\/(-1))\/(11\/44). Which is smaller: 3\/16 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(7 + 13 + 35)*(-334 + 334 - 50*o) as k + s*o and give s.\nAnswer: -2750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Convert 432.6117 nanograms to grams.\nAnswer: 0.0000004326117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2. Let b(p) = -394*p**2 + 2. Calculate f(b(m)).\nAnswer: 310472*m**4 - 3152*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(2\/5)))*g*g**0)\/(g*g\/(g**(-1)*g*g))**(-5\/2)*(g*g**5*g)\/(g\/g**(-4\/5))*(g**(-2\/9)*g)\/(g\/g**(-2\/7)) assuming g is positive.\nAnswer: g**(6043\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 478608 and 119652.\nAnswer: 478608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 0.1 (b) 135 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28688\/2048 + 10570\/(-755).\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -1825*x**2\/2 + 4457*x + 1690. What is the first derivative of v(h) wrt h?\nAnswer: -1825","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 7*y + 4. Let t be w(6). Let k(l) = -2*l + 2 + 2*l**2 - 2 - 7*l + 8*l + l**3. Calculate k(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -51. Let o = 27 + d. Let b(m) = 21 - o - 4*m**2 - 9. Let g(w) = -2*w. What is g(b(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 v when four letters picked without replacement from geeeevevjejevgjev?\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 - 16 = 0. Suppose 4*i = i + k. Factor 1\/2*o**i - 1\/2 + 0*o.\nAnswer: (o - 1)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (172\/(-430))\/((-6)\/(-75)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092 take away -18016111?\nAnswer: 18017203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.08 (b) -0.3 (c) -96.8 (d) -0.8 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 126?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 2, -628, 0, -5\/4 in ascending order.\nAnswer: -628, -5\/4, 0, 0.06, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -8) + -31 + 27\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-16 - 40\/880*-341.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/(sqrt(144) - sqrt(9)))\/(sqrt(512)*-1))**2.\nAnswer: 5\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*g - r, -g + 10 = -2*g - 4*r. Suppose 5*q = 3*y - 7, -3*y = g*q - 21 + 7. Solve -2*u + 1 = y*t + 3, 2*u = 3*t + 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8832798797 - -15?\nAnswer: 22.8832798797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -4*i - i + 2*w, 75 = 5*i + 5*w. Let l = 41 - i. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/24455 and -47\/365.\nAnswer: 24455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 17*j**2 - 755731*j. Let i(w) = -2*w. Determine y(i(s)).\nAnswer: 68*s**2 + 1511462*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**3*w)\/w*w)\/w**(2\/3))\/((w\/w**7*w*w)\/(w*w\/w**(2\/3)*w)) assuming w is positive.\nAnswer: w**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((3*sqrt(385))\/sqrt(11))\/(sqrt(10)\/(sqrt(2) + sqrt(32))).\nAnswer: -4 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0. Let n = 0.11 + -0.31. Let f = -5.2 - n. What is the closest to l in f, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*w + 24 - 717 = 0, l - w - 232 = 0. Let m = 442 - l. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014185918 to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1467489861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*r = -48*r - 3. Let a = 28 - 13. Let o be (72\/(-20))\/((-6)\/a). Calculate the highest common divisor of r and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 15631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 2170475.\nAnswer: -8681900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/(d\/(d*d*d**(10\/11))*d))\/d)\/(d**27\/d) assuming d is positive.\nAnswer: d**(-265\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -175 - -179. Suppose 2*x - 19 = -5*n, -2*x + 6 = -j*n + 14. Solve -4*y + 3*t = 7 + 4, -16 = 2*y + x*t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -304 or -315?\nAnswer: -304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a meter in millimeters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 5*r - 3*q + 391, -3*r = 2*q - 234. Which is smaller: -3\/8 or r?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/5 of a week?\nAnswer: 42336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrfrrrrrrr?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 10*i**2 + i - 6. Let p be q(10). Suppose -44 - 136 = -p*h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -2. Let d = -3 + m. Let r = -2.1 + d. Is r less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 - 3545 = -5*q - 5*p, 2*q = -p + 1315. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-77)\/((-19096)\/(-186)))\/((-45)\/(-4)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 328.479 - 329. Let c = 0.520999019 + f. What is c rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1864 - 1.3864. Which is the nearest to -6? (a) n (b) 0.5 (c) 0.09 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 14*y**2. Let z(w) = -90*w. Let a(u) = u. Let b(o) = -180*a(o) - 3*z(o). Determine n(b(x)).\nAnswer: 113400*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -999*d**2 - 105 + 32 + 1000*d**2 - 30*d - 61. What is l(34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + s - 2*b - 10, 4*s = -3*b - 15. Calculate the remainder when 166\/((8 - 3) + -3 + s) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2895 - 11479\/4. Find the common denominator of 36\/11 and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 6 - 5)*(910 + 55*n - 910)*(4 - 4 + 2*n).\nAnswer: 880*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 11, 2 in increasing order.\nAnswer: -10, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 + (3 - -3 - (1 - 4))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 97.31435 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57448 is divided by 221?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000709 to 6 dps.\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3665 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7327033*z**5 - 5*z**3 - 6*z**2 + 2*z + 2638822?\nAnswer: 439621980*z**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136500 is divided by 1098.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 810, 805, 800, 795, 790, 785?\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 264 = -3*k. Suppose 3*o + 9 - 55 = 4*c, 4*c + k = 5*o. Calculate the lowest common multiple of 16 and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -d - 3*d - 76, 2*q - 5*d = -3. Let f(k) = -k**2 - 15*k - 10. Let i be f(q). Suppose 0*v - 32 = -i*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/28 and -1 - ((-665)\/1624 - 1).\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/5)\/z)\/(z\/z**6) assuming z is positive.\nAnswer: z**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 41 - 33. Let v be 0 - ((-96)\/10 - u\/(-10)). What is the hundreds digit of -4 + ((-732)\/(-15))\/(2\/v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.07 in -0.1, -516, -1, 0.03, -2\/7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 3380430.\nAnswer: 1\/1126810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 13*c**4\/12 + c**2\/2 - 7*c. Is p(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 9*q + 5. Let l be v(9). Suppose 0 = 2*i, l*c + 6*i = 2*i - 130. Suppose d = -5*x - 1, -2*d + 23*x - 26*x - 37 = 0. Is c equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, l: 1}. Give prob of sequence ssl.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 165944 + -89133. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 7)*(3 - 3 - i) - 8 + 8 + 2*i + i + 2*i - 4*i + (-2 + 0 + 0)*(3*i - 2*i - 2*i) - 2*i + 2*i + 2*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 448*c**2 + 58*c + 248. Does 50 divide h(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*o - 14. Let z be (17\/(-2))\/(o\/(-4)). Suppose 0 = -2*u + m + 96, 5*u + 3*m = -347 + 620. What is the greatest common divisor of z and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 7. Let v be d(-7). Let b(s) = 2 + v - s - 3. Let r be b(-3). Solve -3*n = -r*l + 4, 3*n + 0*n + 3*l - 21 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65043553 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 40*t**3 + 3*t - 2. Is d(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51204, -203320, -456836, -811746, -1268044, -1825724?\nAnswer: -2484780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2525, -12487, -29083, -52307, -82153, -118615?\nAnswer: -161687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 - (-4 - (-10 + -10 + (12 - 0)))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -4*p + 12. Solve 2 = p*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(2268)*-1 + (sqrt(2268) - (sqrt(2268)*-1 - sqrt(2268))*-2))\/(sqrt(225)*4*-5*2).\nAnswer: 27*sqrt(7)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - 0)*-2 + -2. Let k = v + -3. Calculate the remainder when 35 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from laaalaaaaaaaaaaaaala.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -310380 divided by -5\nAnswer: 62076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 3:53 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 3)\/(4\/6*3). Solve 3*j + 36 - 21 = l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -182 + 192. Calculate the least common multiple of l and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 78 + 47 = 5*u, u - 47 = 5*r. Let h be -1*(-2)\/4*16. Let f(v) = v. Calculate the remainder when u is divided by f(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 357 and 36.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363)*1*5 + sqrt(363) - (-1 + sqrt(27) - sqrt(108)*2)**2.\nAnswer: -244 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p. Suppose o - 112 = 136. Let v(k) = 248 - o + 5*k. What is v(x(n))?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11676704 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 - 2*b**2 + 2*b + 2. Let r(j) = 4*j**3 + 3*j**2 - 3*j - 3. Give 2*r(h) + 3*t(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i + 845. Let q = i + 21. Let w = q + -2088\/11. What is the smallest value in 0.2, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -1. Let h = c + 5. Let y(j) = j - 2. Determine y(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60456400*d**3*g + 2*d**2*g - 293*d*g + 108*d + 8*g wrt d.\nAnswer: -362738400*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16, -19, -30, -55, -100, -171, -274?\n\"Answer: -f**3 + 2*f**2 - 2*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 2:08 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 117.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) -2 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35502374?\nAnswer: 2, 19, 349, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 9. Is 1*-38*3\/c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 6. Let l(d) = 5*d + 4*d**2 + 4 + d**2 - 4*d**2. Let v be l(c). Solve -v = -f + 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -3, -2, 2, -19\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 186?\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3, 0.07?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*v**4 + 5824*v**3*y + 40*v**2 + 27284199*y wrt v?\nAnswer: -8*v**3 + 17472*v**2*y + 80*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -8959\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 11 = -0*n. Suppose -224 = -35*f + 587 + 309. Calculate the remainder when f is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 i when three letters picked without replacement from kfiifkiikfnknkiii.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2))**6*v**(1\/3)\/(v**(-2\/9)*v))\/(((v*v*v*v**(-1)\/v*v*v*v*v*v)\/v)**(5\/11)*v**2\/(v*v**(-2\/21))) assuming v is positive.\nAnswer: v**(-563\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 6*r**2 - 9*r + 7. Determine z(6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r - 1. Suppose -6 = 2*j + 4. Give g(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 17*s + 11. Determine m(10).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 13 = -5*y, -3*b + 6 + 10 = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/12 (b) 3355 (c) -2\/19 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1733696 - 1733699.000086. Let f = l - -3. What is f rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 46*p**3 - 12*p**2 - 18*p - 46. Calculate b(-3).\nAnswer: -1342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 3*q. Suppose -3*y + 20 + 4 = q. Suppose 4*u - y*u = -16. Solve -3*a + 10 = u*b, 4*b + 0*b - 4*a = -4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 1 (c) 6 (d) 797\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c + 266. Let t be j(-35). Let k be (2 - t)\/6*-45800. Round k to the nearest ten thousand.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -4\/25 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 10*n + 12. What is the remainder when 8 is divided by q(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -323486*m + 323482*m - 24, -4*r + 5*m + 35 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21023313 + 100?\nAnswer: 21030013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 99984.15 millimeters?\nAnswer: 9998.415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -24. Suppose -5*d = -w - 24. Suppose 961*h = 971*h - 100. Calculate the highest common divisor of d and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 3:11 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 258014 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -837.\nAnswer: -2\/837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 18.4. Let l = -2 - 3. Let r = l - -1. Which is the nearest to -0.2? (a) 0 (b) y (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, -0.208, 2\/5?\nAnswer: -0.208","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -0.2. Let s be ((-156)\/20 - -8)\/(-3)*-3. Which is the nearest to 15? (a) s (b) -2\/11 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39412 or 39303?\nAnswer: 39303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from vvjvvvvvvjvjvvjjjjv.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/4 and -20\/76983?\nAnswer: 307932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.072 (b) 2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 6 - 5 - 3*v**2 - 2 to p*v**2 + r*v + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 5*x + 6. Let r be o(-6). Suppose r*g = g. Let s be 4\/(g + (1 - 3)). Let l(p) = 3*p + 3. What is l(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8 = -3*l. Let f(s) = s**3 - 10*s**2 - 13*s + 16. Let q be f(11). Let o be (-3)\/(-6)*q\/(-15). Which is the closest to 1? (a) l (b) o (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212132 (base 9) in base 7?\nAnswer: 13051535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-9)\/8))\/(13792\/87924).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 392802 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3, -m + 2 = m - 2*g. Let v be (-3 - (1 + m))*(-169)\/52. What is the highest common divisor of 91 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) 0.3 (b) -2\/7 (c) 2514 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/2025478 and 71\/13650?\nAnswer: 151910850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/5 - 277551*m**2\/5 - 2775594*m\/5 - 4440976\/5 = 0 for m.\nAnswer: -8, -2, 277561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/(-4)*(-4)\/3. Suppose -4*b + y*b = -24. Let r = b - -40. Solve 8 - r = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v + 55. Suppose 5*g + 24 = -56. Let z be c(g). Find the second derivative of -31*s + 586 - z*s**3 - 586 wrt s.\nAnswer: -138*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = w + 659 + 1082, -y - 5*w + 343 = 0. Suppose y = 4*r + 2*r. Does 35 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (3 - 10)) + 34 + -38\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 213 - 101 - 112 - 206*c in the form w + n*c and give n.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(832) + -1)*5*-3 + 0 + sqrt(832)*2 + 4)**2.\nAnswer: -3952*sqrt(13) + 140973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjh when three letters picked without replacement from jhbgbyj?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 24. Suppose -3*x + 641 = 2*m, -m + 2*m - 314 = w*x. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/28 or 5?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**8\/28 + 7*o**4\/12 - 7*o**2\/2 - 5*o. Let x(q) be the first derivative of l(q). Find the second derivative of x(s) wrt s.\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -452 - 958 + 1410 + 10000*s to the form u + k*s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11678584 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**4 + s**4 - 5*s**4)*(0 + 1 + 0)*(11*s + 59 - 59) + 11 + 25 + 249*s**5 - 253*s**5.\nAnswer: 18*s**5 + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 175 and 440900.\nAnswer: 3086300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - 2*r - 61730. Let a be h(0). Round a to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 v when three letters picked without replacement from {v: 6, p: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -150, -172, -194, -216?\n\"Answer: -22*z - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1625*v - 2193*v + 986*v - 384*v + 83 - 778*v. Is w(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - t)*(5*t**2 - 2*t**2 + 5*t**4 - 3*t**4).\nAnswer: -2*t**5 - 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 114 divided by 2\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2, 0.1, 13\/69, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324486741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k + 59. Let q = -67 + 78. Calculate the lowest common multiple of p(q) and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 302 and 85.\nAnswer: 25670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(76) + 0) + ((sqrt(2736) + 0)*4)**2.\nAnswer: 8*sqrt(19) + 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1347*m + 66009. Calculate f(-49).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -747557261 greater than -747557261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 599, 1198, 1797, 2396, 2995?\n\"Answer: 599*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/((y\/y**(-2\/11))\/y))\/(y*y**(-14)*y*y\/y**(-1\/5)) assuming y is positive.\nAnswer: y**(1697\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11023200330 + -1?\nAnswer: 11023200324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*q**2 - 118*q**2 + 6*q**3 + 65*q**2 - 109*q + 109*q.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1431473902 to the nearest integer?\nAnswer: 37835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**7\/630 + 5*v**4\/3 + 41*v. Let w(y) be the third derivative of a(y). Let t(n) = 6*n - 12*n + 3*n. Calculate w(t(q)).\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/38, -1\/3, -1\/2, 0.5, 1\/4?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*s - 1223 = 94*s + m, 812 = 2*s - 4*m. What is the highest common divisor of s and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 91*k - 52*k - 42*k)*(k**3 + k**3 - k**3).\nAnswer: -3*k**4 - 11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*d + 22. Let l(x) = -x**3 - 6*x**2 + 9*x - 3. What is the tens digit of l(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40145 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(170)*-3 - sqrt(170))\/sqrt(10)*4.\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -243616.\nAnswer: -1\/60904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, z: 3, w: 3, e: 5}. What is prob of picking 3 z?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*d - 456*d**3 - 101*d - d**2 + 206*d + 2*d**2 to f + w*d**3 + s*d + h*d**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*k**3*n - 17*k*n**2 + k*n - 68*n**2 + 4 wrt k.\nAnswer: -63*k**2*n - 17*n**2 + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x + u = -2734, 2769 = x + 6*u. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-five halves of a millennium?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -994115 - 15090.\nAnswer: -1009205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 4*r - 0 - 19, -90*n + 183*n = 2*r + 90*n - 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 times 37897?\nAnswer: 1288498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -81, -38, 19, 96, 199, 334, 507, 724?\n\"Answer: q**3 + q**2 + 33*q - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44658 and 1265310?\nAnswer: 3795930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 3*z. Let i(s) = -s**2 + 3*s + 6. Let x be i(9). Let m = x + 46. Let k be h(m). Solve 0 = 5*u + 4*l + k, u - 2*l + 2 = l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-455)\/(-15)*(-378)\/(-819).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 8*x + 13. Let g be q(-9). Let z be (g\/3)\/((-1)\/(-3)). Suppose -z*j = -j. Let u(s) = s**2 - 2. Give u(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 2076.\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94695 and 885.\nAnswer: 94695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.44406*-0.3.\nAnswer: 0.433218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q + 88*q - 266 = -992 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 33 = -5*f. Let p = -8 + f. Let l(q) = -q - 5. Give l(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 1:37 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*b**3 - 8*b**2 + 8*b**2 - 57*b**3 - 55*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 - 473*s - 556*s**3 + s**2 - 18521*s**3 + 473*s + (-s**2 + 0*s + 0*s)*(s + 2*s - s).\nAnswer: -19079*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5\/13132?\nAnswer: 5\/13132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/9 - 10739*g\/9 - 127572.\nAnswer: -(g + 108)*(g + 10631)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l + 26. Let o be v(-6). What is the second derivative of -j**5 + j + 101*j**o - 101*j**2 wrt j?\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.7 + 29.2. What is the second smallest value in 0.3, z, -4, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20759*i - 20762*i = -2*b - 19, 2*i = b + 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.6 - -5. Let n = -0.6 - m. Sort -1\/4, n, -3.\nAnswer: -3, n, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - 2185\/92 - 4\/(32\/74)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14147, -28557, -42969, -57383, -71799, -86217?\nAnswer: -100637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1928365130?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umpvvpmvumiv. Give prob of picking 1 u, 1 i, and 1 m.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0. Let q = -0.1 - s. What is the third biggest value in -4, 0.06, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - k + 122 = 0, -4*v - 3*k + 118 = -0*k. Let o be (-29 + v)\/(1 - (-1015)\/(-1017)). What is o rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1269248291 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*j - 37, 3*j + 43 - 10 = 3*x. Suppose 83*p = 84*p + 2. Sort -4, 3, p, j.\nAnswer: j, -4, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 + -8 + -93 + 114).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 11*a**2 - 6*a - 6*a**2 + 5*a**2 + 13*a.\nAnswer: -14*a**2 + 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1842?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 69*q - 546 = 0. Let u(g) = g + 9. Calculate u(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**3 - u**2 + 3*u + 6. Let w(v) = -3*v**3 + v**2 - 3*v - 4. What is -3*w(n) - 2*z(n)?\nAnswer: n**3 - n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -1\/20*j**6 + 1\/12*j**4 + 0*j + 0 + 0*j**3 + 138*j**2 - 1\/60*j**5. Calculate g(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -529?\nAnswer: 1\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1206 and -0.4.\nAnswer: -0.2794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 11*u + 13. Let k(d) = -5*d - 6. Calculate 5*k(l) + 2*z(l).\nAnswer: -3*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 6963.05547 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109*w**3 + 4*w - 20*w**3 - 16*w**3 - 54*w**3 + 77*w**3 - 3*w**2 to the form x*w**2 + q + t*w + r*w**3 and give r.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d + 4. Let l(c) = -4*c + 7. Suppose 4*r - 4 = -40. Let n = -12 - r. Let b be (1 - 0)\/(n\/15). What is b*z(w) + 3*l(w)?\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11934 = 370*x - 217*x. Suppose 5*j + 6 = 2*p, -3*j + 4*p - 12 = -7*j. Let z = 52 - j. Calculate the highest common divisor of x and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.14 + 0.14. Suppose -3*f = m - 7*f - 12, -4*m + 33 = -f. Let t be -32 + 37 + (-38)\/m. Which is the nearest to -0.2? (a) -2\/3 (b) h (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-6))\/(18\/(-24)). Let c be u - (276\/(-9) - 4\/(-6)). What is the highest common factor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77620?\nAnswer: 2, 5, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -206196*u**5 + 118*u**2 + 279*u.\nAnswer: -12371760*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-3))\/(2\/5*490\/(-294))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35*(-12)\/(-90) - 5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/37137 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 255645 and 766935?\nAnswer: 766935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 46560 (base 10) in base 14?\nAnswer: 12d7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -365d + -5?\nAnswer: -3662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 take away -0.2553?\nAnswer: 19.2553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x**2 - 8*x. Let i(j) = j. Let d be i(13). Let r(a) = -17*a**2 + 17*a. Calculate d*c(u) + 6*r(u).\nAnswer: 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5*f - 33 = 0, 3*r + 0*f - f + 11 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**4 - o**3 + o**2 + 1. Let c(f) = -7*f**4 + 3*f**3 - 8*f**2 - 6. Let d(n) = c(n) + 6*u(n). Solve d(y) = 0 for y.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*s**5*z - 2*s**3*z**2 + 26*s**3*z - 2*s**2 - z**2 - 134*z wrt s.\nAnswer: -300*s**2*z - 12*z**2 + 156*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 208415989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 96*c - 6. What is the lowest common multiple of f(1) and 63?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 + -3 - -3) + 6. Suppose 3*l + z*u - 16*u = 19383, 0 = 4*l + u - 25825. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*i + 14312, 5*g = -1014 + 1004. What are the prime factors of i?\nAnswer: 7151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3045*k**3 + 2997*k**3 - 6053*k**3.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*c - 37*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 3 (b) 0.5 (c) -712 (d) -2\/499 (e) -1\/6 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - 5*z + z)*(116*z - 107 + 129 + 7) as p + q*z**2 + j*z and give j.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**3*u*w**2 + 13*l**3*u*w + 2*l**3*w**2 + 14*l**2*u*w**2 + l**2*u - l*u*w**2 + 2*u*w wrt l.\nAnswer: 18*u*w**2 + 78*u*w + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 40 + (-1 - (17 - 13)) + -1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -1, -4*w - r - 3*r + 8 = 0. Let k be ((-850)\/(-532) - w) + -1. Let j = 1\/38 - k. Calculate the common denominator of j and -53\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 20 = 2*i. Let s(n) be the third derivative of 1\/30*n**5 - n**2 - 1\/24*n**i + 0*n + 0 + 0*n**3. What is the second derivative of s(m) wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jal when three letters picked without replacement from {l: 7, k: 3, j: 2, a: 3}?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*n - 2453 = -140*n. Let m(v) = -v - 2. Let p be m(2). Let z = p - -5. Solve z = 3*c - n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/3 + ((-3668)\/120)\/7 and 23\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.3 + 2.3. Put -3\/7, 2, n in increasing order.\nAnswer: n, -3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 401*w - 105. Let q(z) = z**2 + 15*z + 59. Let a be q(-8). What is the hundreds digit of t(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o**2 - 3*o - 2. Let k be r(-2). Let q = k - 26. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - f - f**3 + 3*f**3 + 0*f**3 + 3*f**3 - 5*f**3 + (-2*f**3 + 0*f**3 + f**3)*(0 + 1 + 1) + 0*f**3 + 5*f**3 - 4*f**3.\nAnswer: -f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1269\/38 - 67\/2. Let b = -23\/38 - y. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 31. Let o(x) = -4*x**2 + 5. Let h(g) = -5*g**2 - g + 5. Suppose 2*w + 4 = f, 0 = 4*f + 4*w - 2*w + 34. Let v(m) = f*o(m) + 5*h(m). Determine v(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 8. Give y(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*i**3*j**2 + 3*i**3*j - 2*i*j**2 + 24*j wrt j.\nAnswer: 86*i**3 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2. Let f(n) = 67*n**2. Let p(k) = -f(k) + 4*r(k). Let i(g) = g. Give p(i(j)).\nAnswer: -59*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/14)\/1)\/(20754\/32284)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10 (b) 6 (c) 3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Let f be 1 + -4 + ((-594)\/18 - -8). Find the common denominator of (430\/f)\/(-5) - d and -13\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 17 + 3, -3*s - 2*c = -22. Let t be -3 - 150\/s*100\/15. Let z = t - -435. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.3 - -26. Is u smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 16*f - 17. Let j be r(-13). Calculate the greatest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 at most 2\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 t when three letters picked without replacement from tthtthththtththttt?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 671 and 3324500.\nAnswer: 36569500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1665.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -11*w**3 + 5*w**2 + 5. Let a(i) = i**3 - i**2 - 1. Suppose 499 = -4*c + 503. What is c*f(d) + 5*a(d)?\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/987 and -83\/27882750.\nAnswer: 27882750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 66012 in increasing order.\nAnswer: -2, 2, 66012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**3 + 2*y**2 - 1. Let d be m(1). Let z = 64\/3 - 454\/21. Let x be 17\/51*4\/6. What is the nearest to z in x, -6, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 493 + 466 = -3*l, -5*u + 39 = 3*l. Suppose 0 = 3*d - d + 4*b - 30, -2*d - b + 27 = 0. Calculate the remainder when d is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 - u**3 + 2*u**3)*(0 + 3 + 3 + (-4 - 3 - 3)*(1 - 4 + 2)) + 3*u**3 + u**3 - 5*u**3.\nAnswer: -33*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 - 15. Let g = 40 - i. Solve -4 = -2*c - g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449960.\nAnswer: 2, 3, 5, 43, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z**3 + 8*z**3 + z**3.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3499*q + 4969. What is the ten thousands digit of m(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 868 - 864. Solve s = 6*s - 5*r - 45, -a*s = -r - 24 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -52. What is the remainder when x is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abtu when four letters picked without replacement from {t: 3, b: 2, a: 13, u: 1}?\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 = c - 3*c + 2*h, -2*h + 394 = 2*c. What is the lowest common multiple of c\/9 + 10\/(-45) and ((-6)\/5)\/(14\/((-5040)\/27))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10 + 10 = -5*p, 6 = 3*d - p. Let l(u) be the third derivative of u**5\/60 + u**2. Let j(x) = 3*x**2. Give d*j(s) - 2*l(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 236, -262, 61 in ascending order.\nAnswer: -262, -5, 2, 61, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195192439 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 3*s**2 - 6*s**2 - 2*s**2 - 469*s**3 - 2*s**2.\nAnswer: -469*s**3 - 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 5*p**2 + 2*p**5 - 5*p**2 - p**5 - 5*p**4 + 5*p**4 + (2*p**2 - 2*p**2 + p**3)*(p**2 + 3*p**2 - 5*p**2) + 3*p**5 + 4*p**5 + p**5.\nAnswer: 8*p**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3\/5 - 5380346*u**2\/5 - 7173804*u\/5 + 1434760 = 0. Calculate u.\nAnswer: -2, 2\/3, 1793450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -302444324 (base 6) in base 10?\nAnswer: -5169436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227695 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 302910959 a multiple of 1161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/80 and 61\/67640.\nAnswer: 135280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3249 (base 13) in base 9?\nAnswer: -10526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 5*l**4 - 2*l**4 - 2*l**4 - 2*l**3 + l**4 - l - l**4 to i*l**4 + u*l**2 + f + p*l + x*l**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 1. Let b(r) = -31*r**3 - 4*r**2 - 6. Suppose 4*u + 2*y = -22, 329*u = 328*u + 5*y. What is u*n(c) - b(c)?\nAnswer: 31*c**3 - c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -290 - d**4 - 2*d + 21*d**3 - d**4 + 2*d**2 + 294 + d**4 as t*d**2 + q + g*d + u*d**4 + p*d**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.3, 180?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 19*l + 1. Let i(o) = 3*o - 14. Let y(r) = -10*r + 37. Let z(m) = 8*i(m) + 3*y(m). Let q(b) = v(b) + 4*z(b). Calculate q(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, 129\/14, 2 in decreasing order.\nAnswer: 96, 129\/14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**4\/k*k)\/k)\/(k\/(k**(-5\/4)\/k)))**(-6) assuming k is positive.\nAnswer: k**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (6\/2 - (0 + 6)). Suppose -4*r = -r - 207. Is v - r*(-3)\/3 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -117251.1258 to the nearest 1000.\nAnswer: -117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 - -2) - (-9 - (-23)\/(4255\/385))?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -0.0428836, 4, -0.04?\nAnswer: -0.0428836","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 97644 + -2?\nAnswer: 97642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9573, 9645, 9717?\nAnswer: 9789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 624 divided by 4.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 19*v - 142. Is s(-10) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**0*x))\/x)**(-43)\/(x\/((x**5\/x)\/x)*x**(3\/5)) assuming x is positive.\nAnswer: x**(437\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3537, -3533, -3529, -3525, -3521, -3517?\n\"Answer: 4*l - 3541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 + -3)\/(((-3)\/(-1))\/(43 + -46)). Which is the fourth biggest value? (a) u (b) 0.5 (c) 3.06 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 1320132?\nAnswer: -1320121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**3\/2 + 56469*p**2 - 20312565*p\/2 - 10212750 = 0.\nAnswer: -37825, -1, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-224)\/(-6) - 649\/(-177). Solve 22*u - b - 47 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*l = -928, 0*l - 1157 = -5*q + 4*l. What are the prime factors of q?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s + 10 = 0. Suppose -h + s*h = 5. Let i(f) = -f**3 + 4*f**2 + 7*f - 7. Let b be i(h). Solve 4*p + p = -b*j - 13, -3*p = 4*j - 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/5))**(39\/4)*m**11\/m*m**(-16)*m)**(-46) assuming m is positive.\nAnswer: m**(3197\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-48))\/(2\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 710 - 232. List the prime factors of r.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = -4*u + 3*p, -30 = u - 3*p + 4. Let m = 45 + u. Solve m*r - v = 3*v - 25, 0 = 2*v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 2 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 460*a**2 - 8*a + 95. Let c(t) = -115*t**2 + 2*t - 21. Calculate -9*c(k) - 2*l(k).\nAnswer: 115*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v**3 - 14*v**2 - 14*v + 14. Let r be (-5)\/(-245)*14 - 192\/(-14). Let a(j) = 2*j**3 - 5*j**2 - 5*j + 5. What is r*a(l) - 5*k(l)?\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**3\/3 - 3*c**2\/2 + 3*c + 6. Let f be u(3). What is the first derivative of -f + 2*a**4 - 3*a**4 - 4*a**4 wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 - 8*i**2 + 3*i + 3. Suppose 4*b + 10 = -4*q + 6, 0 = b - q + 5. Let p(z) = -3*z**3 + 15*z**2 - 5*z - 5. What is b*p(t) - 5*g(t)?\nAnswer: -t**3 - 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 7:29 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 19. Let o be (24 - 31)\/(2\/(-18)). Calculate the greatest common divisor of o and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2204 - -2201. Let y = -8.07 - -0.07. Sort a, -1\/2, 1\/3, y.\nAnswer: y, a, -1\/2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5 = -3*z + 9*f, -2*z - 2*f = -22. Solve -z + 23 = -16*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 10. Let a be (2 + (-6)\/3)\/(-3). Suppose a*n = -3*n + 33. Solve 0 = -l*w - 2*u + 10, 3*u - n = -5*w + 2*u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 7:52 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -88442 times -0.1\nAnswer: 8844.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -0*t + t. Suppose -v + 121 + t = 0. Suppose -4*i + m + v = -2*m, -m + 2 = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331 (base 7) to base 9.\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -29759*j + 4017486. Give b(135).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/13 + 194285220*v\/13 + 194285222\/13.\nAnswer: -2*(v - 97142611)*(v + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence px when two letters picked without replacement from xxxxxpxxpp?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 33068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -7. Let q(x) = -i*x - 2*x**2 + 5*x. Let d(r) = 3*r + 3. Let s(j) = -3*j - 2. Let y(w) = 2*d(w) + 3*s(w). What is y(q(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14619 + 185*a - 14619 to h + k*a and give k.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21029020, 21029019, 21029016, 21029011, 21029004?\n\"Answer: -r**2 + 2*r + 21029019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5524652522 - -3?\nAnswer: -5524652516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -164*o - 822. Let j be a(-5). Let n be -7 + 1\/((-2)\/(-4)). Put n, -4, 5, j in decreasing order.\nAnswer: 5, j, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 10 = -2*n - 3*s, 5*n - 44 = -4*s. Solve -6 - 14 = n*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*v - 245. Let w(m) = 2*m + 1. Let p be w(2). Calculate the highest common divisor of v and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y = 4398774 - 898536. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4455752 milliseconds in minutes?\nAnswer: 0.00002409292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 31995.451995 and -2.\nAnswer: 31993.451995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/(-15))\/(8\/(-90)). Let g(y) = 0 - 14*y - 5 - 6 + y**3 + 9*y**2. Let p be g(-10). Solve 5*h + 2*l - l = -r, 5*l - p = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -390 divided by -78\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j - 185. Let f = j - 66. Round f to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 4*g**2 - 2*g - 106. Give y(0).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - 2*y - 7*y + 16*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**5\/20 + z**4\/12 + z**3\/6 + 3*z**2 + 9*z. Let b be h(0). Suppose b*q - 1245 = q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 6*x**2 + 6*x + 5. Determine p(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/7)\/m*(m\/(m*m**27*m))\/m*(m**15*m)**29)**(-24) assuming m is positive.\nAnswer: m**(-72936\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 8708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126713682 to the nearest integer?\nAnswer: 11257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1452*p**3 + p**2 - p - 2. Let l be u(-1). Let o = l + -773. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 3*p + 12. Let d be c(7). Suppose 5*a = 3*n + 1043, 5*n + 253 = a + d. What is the remainder when a is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2193.\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 2d?\nAnswer: -2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 120\/((1120\/(-60))\/(-7))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, l: 9}. Give prob of sequence ll.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*r - 39, -r - 3*r = -4*l - 12. Let j = r - 10. Let i = j - -6. Which is smaller: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 3*i**2 + 3*i - 2. Let q be h(4). Let w = q + 34. Suppose 0 = 3*d - 0*d - w. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 2*f - 2. Suppose 0 = y + 1. Let v = y - -3. Let s be b(v). What is the nearest to -0.1 in -2\/3, -1, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1\/10, -0.4, 37500, -2, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -8. Let y(a) = -a**2 - 5*a + 13. Let r be y(-6). Suppose 3*f + r = 16. Solve 0 = f*i - l - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4. What is the common denominator of -95\/14 and 387\/48 + -3 + r?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-3\/5))\/z**(-10))\/((z*z\/(z**2*z*z)*z*z)\/(z**(-7)*z)) assuming z is positive.\nAnswer: z**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - 3) - 2 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {f: 1, t: 4, h: 3, a: 2, i: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 6)*(-1772*a**4 + 52*a**3 - 52*a**3 + 861*a**4).\nAnswer: -911*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 218643*d**4 + 12*d**2 + 18802846*d.\nAnswer: 2623716*d**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*t**5 - 978*t?\nAnswer: -720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 646*h + 1505*h**2 - 37*h**2 - 370*h**2 wrt h?\nAnswer: 2196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5814 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 357 + -354. Let n(j) be the second derivative of 5\/6*j**z - 4*j**2 + 10*j + 0. Differentiate n(t) with respect to t.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 634993 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -7)*((-6)\/(-2) - 5). What is the greatest common divisor of j and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 89*c**2 - 18*c + 15. Let q be m(7). Suppose -6*z = -934 - q. 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: What is the remainder when 74 is divided by 34?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 175\/(-245) - (-39)\/(-14). Let l = 1 - 1. Is l < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - q - 26 = 0, 3*n + 3*q = -q + 92. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**2 - 5*k + 4. Let i(d) = d - 1. Suppose 3*w - m - 14 = 0, 5*m - 12 - 8 = -3*w. Give w*i(f) + t(f).\nAnswer: -3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, -5, 5 in decreasing order.\nAnswer: 5, -5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2692895 - 1a?\nAnswer: 2692878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2\/291 (c) 10 (d) 1.6 (e) -4 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 36*s + 9. Does 44 divide o(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*m + 2 - 4, 0 = -2*m + 2*t. What is the third derivative of 5*b**6 - b**m + 10*b**2 - b**2 wrt b?\nAnswer: 600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.0424 (b) 7.517 (c) -5 (d) 4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.3136 and 101.\nAnswer: 233.6736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 341 - 7\/(-21)*-3. Let r = q + -1711\/5. Which is bigger: r or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, b: 2}. What is prob of sequence rb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 757 = 433. What is the highest common divisor of b and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 757 = -17*k + 1119. What is the highest common factor of 55007 and k?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 48125085*x - 3 - 24062138*x - 24062091*x.\nAnswer: 856*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 31*u**3 - 2*u**2 + u - 80. Let d(j) = 31*j**3 - 3*j**2 + 2*j - 83. Let a(s) = -2*d(s) + 3*x(s). Find the second derivative of a(i) wrt i.\nAnswer: 186*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 + 2*n**2 - 2*n - 1. Let g be z(1). What is the units digit of 42 + -1 - g - 60\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16*2\/(-4) + -8)\/1. Which is smaller: 1\/26022 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-12))\/((140\/72)\/7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2892 is divided by 214?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -14*c + 364. Let z be k(26). Solve 4*g - 15 = 2*g - t, z = 4*g - 3*t - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79677 and 4173?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2736 - -3035. Suppose 4*v + 3*i - 86 = 0, -4*v + 2*v + 2*i = -50. Calculate the greatest common divisor of v and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 7:00 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*q - 598 = -130 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-4*(sqrt(99) + -3 + -3) + 5)*5 + -2)*-4)**2.\nAnswer: -4392960*sqrt(11) + 15372544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29618*w**2 - 7280 wrt w?\nAnswer: 59236*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - 32. Let v = 110 + y. Calculate the remainder when v is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2372320, -2372322, -2372324, -2372326, -2372328, -2372330?\nAnswer: -2372332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70.41 - -59.41. Let w be 0 + (0 - (-1)\/(-2)). What is the second smallest value in w, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 41*t**4 - 3*t - 2*t**2 + 11*t**4 - 2*t**3 + 34 - 33 as g*t**2 + z*t**3 + k + o*t**4 + p*t and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 19*z - 57. Let s be a(-15). What is the highest common factor of s and 141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/15*(-37)\/222. Let o(q) be the third derivative of -1\/24*q**4 + 0*q**3 + 4*q**2 + 0*q + 0 - 1\/360*q**6 + d*q**5. Factor o(s).\nAnswer: -s*(s - 3)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 2250?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -2*p**5\/45 - p**4\/9 + 2*p**3\/9 + 4*p**2\/9 - 8*p\/9 + 7. Solve r(m) = 0 for m.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -1)\/((-5)\/(-10)). Factor 3*f**2 + f**o - f - 2 - f**3 + 2*f**4 + 3*f**3 - 4*f**4 - f**5.\nAnswer: -(f - 1)**2*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -2?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38092.\nAnswer: 2, 89, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1323)*2 - sqrt(1323) - sqrt(1323))\/sqrt(9)*-5 - (2 + (sqrt(27) - 2*sqrt(2700))))**2.\nAnswer: -228*sqrt(3) + 9751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47478 - -47490. Let h = 73 + -437\/6. What is the closest to v in 4, 0.1, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 510.1 + -510. Let s = -99 + 97. Let l = 2 + -3. What is the closest to s in 2\/7, r, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 83888 + 83891 - 251688 + 83909 + 0*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -1 (b) 5\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0264137 less than 0.13?\nAnswer: 0.1564137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -383 and 0.137?\nAnswer: -52.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*c**2 + 85*c**2 + 7*c**3 + 2*c - 167*c**2 to r*c + v + m*c**2 + d*c**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -1.2 (c) -1\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 121.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -q + 1, 2*h + 0*h + 4 = 4*q. Is (q - 2 - -147) + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 1 - i - 300772*i**2 + 300816*i**2.\nAnswer: 44*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1947, -62 in descending order.\nAnswer: 1947, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 146\/5 + -29. Let j = -11 - -33. Let f = 24 - j. Put z, f, 2\/7 in descending order.\nAnswer: f, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1450364, -5, -4 in descending order.\nAnswer: 1450364, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4\/4 + 399*s**3\/4 + 201*s**2\/2 = 0 for s.\nAnswer: -1, 0, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w**3 + 20*w**2 - 15*w - 5. Let b(p) = 27*p**3 - 103*p**2 + 76*p + 26. Let y(m) = -2*b(m) - 11*s(m). What is y(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 72406957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1606*j + 5*r + 37 = 1603*j, -2*j + 5*r + 17 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 108\/24989 or 0?\nAnswer: 108\/24989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16*(3\/(-6) + 1). Let g = -161 - -249. Calculate the greatest common divisor of g and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 5:28 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -510699*j**5 + 520717*j wrt j?\nAnswer: -10213980*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -94681, -189358, -284047, -378754, -473485, -568246?\n\"Answer: -h**3 - 94670*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.3.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.01, 2\/9, -3, -0.7, 4, -3\/25?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 9. Calculate the common denominator of -38 and w(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1787937 + 1787937.01000021. Let x = -0.09 + 0.1. Let g = s - x. Round g to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g**3 + 768*g**2 - 28*g - 2702. Determine n(-96).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 1 = a. Let y = a - -35. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -7*c + 35. Factor -v - 5*v**3 + 3*v - 10*v**2 + c*v.\nAnswer: -5*v*(v - 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -26*j**3. Let l(f) = -1170*f**3. Suppose 2*n + 18*w - 13*w + 394 = 0, 5*n = -2*w - 922. Determine n*x(k) + 4*l(k).\nAnswer: 52*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - d. Is l(3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 - 185*z**3 + 800*z**2 - 820*z.\nAnswer: -5*z*(z - 2)**2*(z + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-105)*-5 + ((-2403)\/(-21))\/3. Solve -8 = -5*x - f - m, 2*x - 2*f = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 + 3*z**2 + 14*z**2.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8112124 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f. Let b(u) = -u**2 - 10*u - 15. Let d be b(-10). Let r = d + 22. Suppose r - 5 = -2*c. Determine v(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 2*i**2 + 2*i + (3*i - i + 0*i)*(-4 + 4 - 2*i) + (8 - 2 - 3 - 2*i)*(85*i - 91*i - 34*i).\nAnswer: 78*i**2 - 120*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 21 - 6. Let w(c) = -5*c + 7. What are the prime factors of w(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11829.5 and 291?\nAnswer: 3442384.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 634*z**3 + 4*z**2 - 1. Let f(t) = t**3 + t**2. Let v(a) = -d(a) + 4*f(a). Is v(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3952 and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**3 - 4*w**2 - 4*w + 3. Let f(y) be the third derivative of 7*y**6\/120 - y**5\/12 - 5*y**4\/24 + y**3\/2 - 13*y**2. What is -4*f(i) + 5*j(i)?\nAnswer: 2*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:20 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414139 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4735238 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/6*1 - (738\/(-12) - -35)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnkknnnknnnnnknnnknn?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-40))\/(2\/4)*4*(-2795)\/258\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19260 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*w - 1\/3*w**2 - 1\/3.\nAnswer: -(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2588330?\nAnswer: 2, 5, 41, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1279 divide 4675065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 3*s + 1. Let q(k) = -8*k**2 - 9*k - 3. Let f(l) = -q(l) - 3*v(l). Let o(z) be the second derivative of 5*z**4\/12 - 2*z. Give o(f(i)).\nAnswer: 20*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*m - 2. Let p(w) = w**2 + 11*w - 1. Let c be p(m). Let b be c\/(-3) - 217\/21. Which is smaller: -11 or b?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.09 (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1. Let u(g) be the third derivative of -g**5\/60 + g**3\/3 - 8*g**2. Determine 2*h(b) - u(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, i: 4}. Give prob of sequence kiii.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 at least as big as 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 13 = 5*u, -31 = f + 3*u - 28 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 32*u**2 - 145*u - 254. Calculate k(5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsdszvzdspspodpss. What is prob of picking 1 d, 1 z, and 2 p?\nAnswer: 27\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517633126.\nAnswer: 2, 258816563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*a**4 - 4*a - 68*a**4 + 5*a**2 - 2 + 2*a**3 - 5 - 3*a**2 - 7 in the form u*a**2 + b + z*a + w*a**4 + m*a**3 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4) - 1)\/(516*(-18)\/(-179568))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((0 + sqrt(968) - (sqrt(8) - (sqrt(8) + 5 + sqrt(48)\/sqrt(6)))) + -2))**2.\nAnswer: 2304*sqrt(2) + 18576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/5)*f**(-6))**(-1))**(-3\/52) assuming f is positive.\nAnswer: f**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.887 - 972.887. Let t = y - -964.03. What is t rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-714)\/(-20) + (87\/(-609))\/(60\/(-126))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 36 = 4*f, 5*w = -3*f - 0*w + 27. Let o = 13 + -8. Solve -o*u + f + 6 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73201.26 kilometers to meters.\nAnswer: 73201260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/8 and 11\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 + 5*p + 11*p**3 - 1 - 16*p**3 + 2*p**3. Let u be s(-5). Suppose 0 = -3*i - 2033 - u. What is i rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.4624 from -2.9005.\nAnswer: -1.4381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24162013 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 8*c + 2. Let a(s) = -6*s**2 - 40*s + 11. What is 2*a(l) - 11*y(l)?\nAnswer: -l**2 + 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**5\/12 - 13*g**3\/2 + 9*g**2. What is the first derivative of r(z) wrt z?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562850.\nAnswer: 2, 5, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 13333*v**6\/40 + v**5\/10 - v**4\/6 - 5*v**3\/6 - 2*v**2 + 16. Let g be t(5). Round g to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from zzzzzdzzzdzzzzdzzdzz.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8*p**2. Let i(o) = -153*o. What is a(i(f))?\nAnswer: 187272*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from ceeqypggycccgcgycgp?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 - -70. Let d(y) = -y - 7. Let t be d(-6). Put q, t, 0 in descending order.\nAnswer: q, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13 - 3 - 40\/10. Is (1006\/a)\/((-51)\/18 + 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-36)*40\/(4 + -9). Put -10, 297, r in decreasing order.\nAnswer: 297, r, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5\/14, -15, 23, -4, -5 in ascending order.\nAnswer: -15, -5, -4, -2, 5\/14, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6110 + 8054. Calculate the greatest common factor of 144 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*r = -92. Suppose 3*p + 3*c - 33 - 15 = 0, -5*p + c + 80 = 0. What is the remainder when r is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5624 divided by 1.\nAnswer: 5624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 183\/4. Calculate the common denominator of g and 15\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 times -3?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10517766913\/417624244 + 19830\/211777. Let v = c + -14\/493. Let q = 353017\/58340 - 3\/2917. Find the common denominator of v and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2038*b - 1018*b - 1017*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -34. Which is the closest to -2? (a) 1 (b) t (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 341, 611, 867, 1109, 1337, 1551, 1751?\n\"Answer: -7*u**2 + 291*u + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t. Let x(i) = 17*i + 4. Calculate -6*h(v) - x(v).\nAnswer: -11*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15558426 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(-589)*0*(-1)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5668*s**4 - 747?\nAnswer: -22672*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 - 75. Suppose 4*s + w*j + 24 = -3*j, -j = -4*s. Sort 0, -5, 3, s in descending order.\nAnswer: 3, 0, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + 1 + 3 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -999*u + 999*u - 7*u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 3:59 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/11796 and -17\/5898.\nAnswer: 11796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-112858)\/(-22) - 2808\/(-2574)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 26, -40, 2, 1, -5 in ascending order.\nAnswer: -40, -5, 1, 2, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 132 = -10. Suppose 3*i - a = 82. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-6)*(-8 - -11). Put 2\/3, 0.2, k, 2\/9 in decreasing order.\nAnswer: k, 2\/3, 2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13234951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 10*k + 5. Suppose 4*i + 50 = 14. Calculate x(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) - ((-63)\/12)\/(-3). Put -2\/11, g, 1\/2, 5\/3 in ascending order.\nAnswer: g, -2\/11, 1\/2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**5\/20 - 7*w**4\/12 - w**3\/2 + 4*w**2 - 108*w + 1. Calculate u(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + -1 - (-3 + 6). Suppose 86 = -p*i + 4*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27 + 181?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -10*n + 1. List the prime factors of k(-7).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 1624.\nAnswer: -487.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(264) + sqrt(264)*-1)*3)\/sqrt(12))\/(-5*(2*sqrt(18) - sqrt(18))*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j**3 + j**3 - j**3 + (j + 2 - 2)*(-2*j - 2*j**2 + 2*j).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4173?\nAnswer: 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 821*p**2 - 2. Let v(q) = -4*q. Determine v(g(m)).\nAnswer: -3284*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(77) + (sqrt(77)*1 - sqrt(77))) - sqrt(77) - (sqrt(77) + sqrt(77)*-2*5))\/((-1*sqrt(55)*1)\/sqrt(5)).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*q + 160 = 17*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 22. Let h = -1.8 + 2. Which is the smallest value? (a) -0.5 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -3450\/1765219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, -1470, -4012, -7574, -12156?\nAnswer: -17758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 567 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 - u**3 - u**3 + 0 + 0 - 2*u**3 + (u**2 - 2*u**2 + 3*u**2)*(-468*u + 153*u - 356*u).\nAnswer: -1343*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1485191*o + 525821?\nAnswer: 1485191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212122 (base 5) to base 14.\nAnswer: -2878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 10 = 2*n + n, 4*n = -l + 17. Let c(u) = -u. Let k be c(0). Solve y - l = -k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -6*b + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -19484.\nAnswer: -19483.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 4*g**2 - 3*g + 1. Let u be i(4). Let t be 1 + (1 - 4 - u). Calculate the highest common factor of 18 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 295743 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (54\/15)\/(4\/(-10)). Let k be ((-6)\/a)\/((-3)\/9). Put 3, k, 2\/7 in increasing order.\nAnswer: k, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 39 = x, -4*p + 2*p + x = 21. Let t be (-12 - p) + 1*4. Let o be (1 - (-1 - t)) + 0. Solve o*f + 0*f - 20 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79.1 - -78.8. Let w = 0.08 - -0.22. Which is the third smallest value? (a) w (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15 + -0.45. Suppose 3*o = -5*q - 3, 3*q = 3*o - 9 - 12. Suppose -x = -o*g - 8, -2*g = x - 1 - 1. What is the nearest to g in -0.2, v, -2\/15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 12, n: 6}. Give prob of sequence qq.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16173379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26\/5? (a) 0.2 (b) -6\/5 (c) -2\/7 (d) -51.3 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37.3 - 42. Let w = 7.3 - j. Let q = 0.1 - 0. What is the third biggest value in q, w, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 40*g + 2. Let r be l(-2). Suppose -a - 9 = 2*a. Let k be (-38)\/r + a\/9. Is k != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 68, 62, 52, 38, 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08234 + -0.082328114. What is g rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.7 - 23.3. Let n = -0.75 + 28.75. Let t = p + n. Which is the nearest to t? (a) -3\/4 (b) -0.4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21591, 21596, 21601, 21606, 21611, 21616?\n\"Answer: 5*i + 21586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x**2 + 6*x. Let l(z) = -10*z + 114*z**2 - 9*z**2 - 42*z - 39*z. Let g(h) = 6*l(h) + 91*m(h). Let d(p) = 2*p. Calculate d(g(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**4\/5 + 1816*o**3\/5 + 20178*o**2\/5 + 36824*o\/5 - 58816\/5 = 0.\nAnswer: -8, -4, 1, 919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjrrbkdbdbt. Give prob of sequence bkt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -383741*i**4 - 266259*i**2 wrt i?\nAnswer: -9209784*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4567*k**3 + 3407*k.\nAnswer: -27402*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 58789 + -61547.5\nAnswer: -2758.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 12 - (-1 - 6 - -4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 smaller than 10623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31931732 is divided by 1140419.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*y**4 + 4*y**4 + 450 + 37916*y - 37975*y with respect to y.\nAnswer: -16*y**3 - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5222)\/(-12) + (-78)\/468 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, e: 5, j: 3}. What is prob of picking 1 a and 3 j?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -425735.59 * 0.4.\nAnswer: -170294.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 179061787 to the power of 1\/2, to the nearest integer?\nAnswer: 13381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8*m**2 + 7*m - 45. Let z(g) = 8*g**2 - 8*g + 48. Let l be (5 - 8)\/3*4. Let o(b) = l*z(b) - 5*p(b). What is the second derivative of o(k) wrt k?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 14.3692 days?\nAnswer: 1241498880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186750753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-159)\/4*((-716)\/2327)\/((-9)\/(-39))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + a + 7. Let i be y(-5). Is (4\/(-12))\/((-3)\/i) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = -4. Does 7 divide 2 - -17 - (f + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.1 + 6.1. Let l = -1 + 0. Which is the closest to l? (a) n (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaeae. What is prob of picking 1 e and 2 a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30 + 3 + -1 + -2. Suppose -2*p + 0*p + v = 0. Let y = 49 - p. Calculate the remainder when y is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1601327.\nAnswer: 7, 13, 17597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -2*d**6\/15 + 2*d**3\/3 - 6*d. Find the second derivative of j(a) wrt a.\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 523 - 559 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 28*d + 2*d + 8*d. Let q(c) = 3*c + 26. Let a(i) = -14*i - 117. Let n(l) = 2*a(l) + 9*q(l). Determine j(n(x)).\nAnswer: -38*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, 20, 33, 48, 65, 84?\n\"Answer: i**2 + 8*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13c (base 13) to base 12.\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 1. Let k(b) = b**3 + 7*b**2 - 8*b - 2. Let w be k(-8). Let d(t) = 7 - 28 + 11 - t + 13. Determine w*i(p) - d(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 24520 to the nearest 100.\nAnswer: 24500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**6\/120 - i**5\/15 - i**4\/24 - i**3\/3 + 48*i**2. Calculate q(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*g + 4*g - 3, 0 = u + 1. Differentiate -1 + 4 + g*v - 12*v + 7*v wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4995*t = 4624*t + 11501 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1.5, 199, 3\/5, -4 in increasing order.\nAnswer: -4, -0.3, 3\/5, 1.5, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 435710 - 435706. Let x be (-4)\/(-18) - 79\/(-9). Sort 1\/9, x, k, 3 in descending order.\nAnswer: x, k, 3, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.2436 to one decimal place.\nAnswer: -21.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojjbmzjmjmmmjlom. What is prob of sequence mzj?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*h**4 + 249845*h**3 + 1040396220*h**2 + 1444243342320*h + 360995814720.\nAnswer: 5*(h + 4164)**3*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 662\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, j: 1, m: 2, h: 4, d: 1}. Give prob of sequence hh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 854638 and 39052.\nAnswer: 22220588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39342951 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-5 - 3) + -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8941311\/23 or -388752?\nAnswer: -388752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.12 + -0.42. Let f = -1.67 - 0.13. Let t = o + f. What is the biggest value in 1, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33349 + (-32)\/48*(-4 + -2).\nAnswer: 33353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r**2 + 32*r + r - 33*r - 8*r**2. Let k be ((-42)\/28)\/(3\/(-4)). Let z(w) = 8*w**2 + w - w - 5*w**k. Calculate z(n(l)).\nAnswer: 867*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*l - 3*o, -3*l + 8*l - o = 27. Suppose l*b - 420 = 3*b. List the prime factors of b.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -60*m - 44. Suppose -11 = 2*w - 3*w. Solve -3*i + 0*t - 1 = -m*t, 0 = -3*i + 5*t + w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + 6*r**2 + 5. Let i be q(-5). Let j = 25 - i. Let t = j - 59. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 2*j**2 + j**2)*(2*j + 2*j - 2*j) + (-j**2 - 2*j + 2*j)*(-23*j + 48 - 48).\nAnswer: 21*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 39, 28, -3, -60, -149, -276?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(54)\/sqrt(6)) - sqrt(98)*-1)**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -695, 0, 2 in increasing order.\nAnswer: -695, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 14) in base 13?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -400960 + 1021869. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 - o**2 - 5*o**3 + 3*o**2 - 2*o in the form k + f*o + c*o**2 + h*o**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 359 - l - 359. Let k(o) = -o**3 + 3*o**2 + 3*o - 8. Let h(v) = k(v) + 2*u(v). What is h(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**4 - 4900*i**3 + 357485*i**2 - 4676600*i - 41980980 = 0.\nAnswer: -1049, -6, 29, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = n + 5*b + 3, -28 = 4*n + 4*b. Let w be 4 + 3*4\/n. Suppose 2*v - s = 18, 4*v - 18 = w*v + 2*s. What is the smallest common multiple of v and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1 + -4 + (4 - 10) + 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 117, 114, 111?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 20*m - 14. Let s be d(13). What is the third derivative of -2896*k**3 + s*k**2 + 2984*k**3 - 27*k**2 wrt k?\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 805 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, q: 3, g: 1, a: 1, y: 6}. Give prob of picking 2 n and 2 y.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (9 - (6 + -8 - -10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -740, -14, 14933?\nAnswer: -740","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k + 49. Let m be p(15). Solve 1 = -2*v + 5*z - 21, 15 = v + m*z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -469731, -939468, -1409205?\n\"Answer: -469737*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (1396654\/(-98))\/((-6)\/42) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19161.56 take away 3725139.8?\nAnswer: -3705978.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Let m(d) = 2*d**2 + 3*d - 4. Let p be m(-3). Let o = p + -3. Is o > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 1) + (1 - 6 - -16) + -22.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*h + 7*h + 48 = 0, k - 18 = 5*h. What is the lowest common multiple of k and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 5*r**3\/6 - 3*r**2 + 20*r - 5. Let y(w) = 11*w - 13. What is 7*o(g) - 3*y(g)?\nAnswer: 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 34 + 41 = 0. Solve t + d = 5*v + 6*t, 0 = 4*v - 2*t + 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*u + 3, 0 = 2*l - 3*l - 5*u - 3. What is the derivative of -s**l + 4 + 5*s**2 - 8 wrt s?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -7. Let m = -153 - -152.8. Let f(k) = -k + 6. Let u be f(6). Which is the nearest to u? (a) m (b) 0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/3 + 1812\/(-604) + (6 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 238 + -47. Suppose 0 = -3*w - t + 23. Let x = 55 + w. Which is smaller: x or -2\/241?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 5*r + 3*v - 1, 70 = 5*r + 6*v + 20 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(132) + sqrt(132) + (-2*sqrt(132) - sqrt(132))))\/sqrt(6))\/((sqrt(99) + -4*sqrt(99)*1)\/sqrt(9)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, 37, 57, 85, 121?\n\"Answer: 4*u**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 362 (base 14) to base 4.\nAnswer: 22202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26622, -26698, -26830, -27018, -27262, -27562, -27918?\n\"Answer: -28*q**2 + 8*q - 26602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 2 in ascending order.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5544042 to the nearest integer?\nAnswer: 2355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3593, -3615, -3651, -3701, -3765, -3843?\nAnswer: -3935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*m = 71*m + 32. Solve -4*o + m*o - 20 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -176, -713, -1608, -2861?\n\"Answer: -179*o**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 255762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r\/r**3*r))\/r*r\/(r\/((r\/r**4)\/r)))\/(r**(2\/7)*r**(3\/8)))\/((r**(2\/7)\/r**1)\/((r\/((r\/r**(1\/3))\/r))\/(r**(-3)\/r))) assuming r is positive.\nAnswer: r**(233\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c + 109. Let x be h(16). Calculate the highest common divisor of x and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*y + 247. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7*k = -4*k - 17, -5*k = 3*q + 17. Sort q, -5, -6, 0 in increasing order.\nAnswer: -6, -5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3368110?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4853880.5 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10991507 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7869 and 33024?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 5:11 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 c, and 1 a when four letters picked without replacement from {a: 5, s: 3, d: 3, c: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -12*h - 4*h - 9*h + 14*h + 0*h. Let z(y) = 38*y**2. Determine s(z(g)).\nAnswer: -418*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42022654 + -13?\nAnswer: -42023000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/98260668 and 109\/35731152.\nAnswer: 393042672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 340*c**2 - 853*c**2 - 2806*c - 1031*c**2 + 192*c**2 wrt c?\nAnswer: -2704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/3*(-3)\/(-4). Suppose 9 = z - 0. Suppose t*c = 25 - z. Sort c, 3, 1 in increasing order.\nAnswer: 1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9 - -5027279.\nAnswer: 5027278.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 4*p**3 + 5*p**3)*(2 - 5 - 3) + 3*p**3 + 4*p**3 - 5*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a + 8. Let k be c(8). Let j = -32 + k. Put j, 4, -4 in descending order.\nAnswer: 4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 n when three letters picked without replacement from nnbbbnbbbtbtbtbnbb?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**3 + 2068829*q**2 + 1070012323395*q - 1070014392225 = 0.\nAnswer: -1034415, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/275 - 1094\/825. Which is the nearest to -0.03? (a) x (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 481416 and 80236?\nAnswer: 481416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 14 = 9*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + d - 1 + 0)*(62*d - 7*d + 8*d).\nAnswer: 63*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 59 = -b. Let j = b + -92. Suppose -c = -3*c + 8. Sort j, c, -2 in descending order.\nAnswer: c, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -10*x - 293. Give p(-33).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10\/3)\/x*x*(x\/(x*(x\/(x*x**17))\/x))\/x*x)\/((x**(-20)*x)\/x*x**(-4)) assuming x is positive.\nAnswer: x**(116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 472414 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*c - 2, 6 = 3*h + c + 3*c. What is the highest common divisor of 5 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 476785120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 3:13 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.8 - -0.8. Let a = -185 + 181.78. Let t = a - o. What is t rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 2*m - 3*m)*((511 - 221 + 566)*(3*m - 4*m + 2*m) + m + 0 + 0).\nAnswer: -857*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 1\/3*l**3 + 0*l**2 + 1 + 0*l + 0*l**5 + 0*l**4 + 1\/3*l**6. What is the third derivative of v(m) wrt m?\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-1\/2)*t))**(1\/18))**17*((t\/(t\/t**(-2))*t)**(-9))**40 assuming t is positive.\nAnswer: t**(12977\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 51 + 79. Calculate the highest common divisor of o and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14114757*a**3 + 18271551*a**3 - 3686138*a**3.\nAnswer: 28700170*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 776*r - 906. Let z(k) = -3*k**2. Give b(z(m)).\nAnswer: -2328*m**2 - 906","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 194 - 319 = 0. Let h = u - 55. What is the third derivative of -21*y**5 + 78*y**5 + 25*y**h - 17*y**5 - 28*y**5 wrt y?\nAnswer: 720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7799, 5593, 3393, 1199, -989, -3171, -5347?\n\"Answer: 3*z**2 - 2215*z + 10011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 2*w + 26, -21 = -c + 4*w + 1 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 6. Let m be x(-5). Let z be (-3)\/3 + 11*1. What is the remainder when 8 is divided by z\/2 - (3 - m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 0*g - 1\/4*g**4 + g**3 - 3 + 0*g**2. What is the third derivative of u(p) wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00116038 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*n - 2*y, 2*y + 15 = -y. Suppose -t + 3 = 3*t - n*i, 0 = 5*t - 3*i. What is the closest to 2 in 0.4, t, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**5\/60 - k**4\/3 + 5*k**3\/6 - 3*k**2. Let h be g(9). Solve -14 = a - 4*p, -2*a + 5*p = 2 + h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(-13)*177\/(-118)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**4\/16 - 38*t**3 + 8664*t**2 + 1320*t. What is l in s(l) = 0?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*q + 3*q + 2 - 2 to f + y*q and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -406*k**3 - 264.\nAnswer: -1218*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -669*a**4*x**2 + a**4*x - 2*a**2*x**2 + 56*a**2*x - 13*x**2 wrt a.\nAnswer: -16056*a*x**2 + 24*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by 161949\nAnswer: 11\/53983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {i: 1, j: 1, a: 2, g: 1, c: 1, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 4*y + 8. Let s be 2\/(-9) + 332\/36. Is t(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5\/6)\/j)\/j)\/j**(1\/2)*j**(-4)\/j*j**6 assuming j is positive.\nAnswer: j**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11681a1 (base 11) to base 13.\nAnswer: -56179a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 11, m: 2}. Give prob of sequence wmww.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3510?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vaaavav. Give prob of sequence avva.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73444 - -3892645\/53. Let q = l + 415\/1272. Calculate the common denominator of q and -35\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -2, -9\/7, 20, -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/17)*b*b**4)\/(b**5*b*b*(b\/b**6)\/b))\/((b\/b**0)**(-36)\/(b**(-7)\/b**(1\/12))) assuming b is positive.\nAnswer: b**(6943\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 10:47 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + z. Let b(v) = -10*v**2 - 8*v + 5. Let o(g) = 50*g**2 + 40*g - 26. Let k(h) = 16*b(h) + 3*o(h). What is k(l) + 8*s(l)?\nAnswer: -2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18168 is divided by 404.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from gzgggggzgggz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6513924997 rounded to four dps?\nAnswer: 0.6514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.11 (b) 1\/5 (c) -0.6 (d) 1\/16 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 45 + 25\/(25\/2). Solve 2*b + 27 = -5*q, n*b - q = 52*b + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1753 + -974. Calculate the highest common factor of 82 and n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -132343*m + 13. Let v(u) = -u. What is v(t(k))?\nAnswer: 132343*k - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.5032362mm?\nAnswer: 503.2362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17318.\nAnswer: 2, 7, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 + 145 + 2 + 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 4852457?\nAnswer: 1\/4852457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-830)\/(-26) - ((-8406)\/(-234) - 36)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.05 + 0.05. Let t(w) = w**3 + 37*w**2 + 66*w - 145. Let q be t(-35). Sort -4, a, q, 1 in descending order.\nAnswer: 1, a, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11419 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 8:50 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 3*l**2 + 3*l + 11. Suppose 0 = 10*m + 73 - 113. Let p be f(m). Solve 0 = -p*b + 10*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 65 = 10*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32395079.\nAnswer: 47, 689257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 350*w + 6655. Let n be l(-20). What is the greatest common divisor of 1111 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112278 divided by 3\nAnswer: -37426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 2095148.\nAnswer: 21\/1047574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**2 + 13*j + 11. Let l(r) = -3*r**2 + 6*r + 5. Let o(s) = 3*f(s) - 7*l(s). Let p be o(-1). Solve -16 = -3*g + p*k, 3*g + 0 + 8 = -2*k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -52, -60, -68, -76?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + x**4 + 2)*(-1 + 1 + 12*x) + (-4*x**4 + 23*x**2 - 23*x**2)*(-3 + 4*x - 5*x - 4).\nAnswer: 16*x**5 + 28*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1235.8795 to the nearest integer.\nAnswer: -1236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 1105*i**2 + 33954*i - 190472\/3.\nAnswer: (i - 3284)*(i - 29)*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132931 divided by -6?\nAnswer: -132931\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 287*x**4 + 125*x**3 + 54*x**2 - 42592779 with respect to x.\nAnswer: 1148*x**3 + 375*x**2 + 108*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 32*n - 40. Give w(-31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-seven halves of a microgram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = -3*t - 5*f, -4*f - 43 = t - 7*f. What are the prime factors of ((-9)\/(-2))\/((-4)\/t)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*y - 1403 + 13431 = 0, 3*y - 12 = 0. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 104793*v - 142468014.\nAnswer: -3*(v + 1417)*(v + 33514)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.6? (a) 67 (b) -8 (c) 1 (d) -79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 476, 958, 1444, 1934, 2428?\n\"Answer: 2*q**2 + 476*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**3\/6 + 752*y**2\/3 - 1511*y\/6 - 1505 = 0?\nAnswer: -1505, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 9*d**5 + 66*d**4 - 158*d**3 - 168*d**2 + 341*d - 90 = 0?\nAnswer: -9, -5\/3, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101441423 + 1?\nAnswer: 101441424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 0)\/(6\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*v + 6 + 152 = 0, -5*a + 196 = -4*v. Calculate the greatest common factor of 190 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70883 and 164104?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 30 (b) -741 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 2*b**2 + b + 1. Let r be i(2). Suppose 21 = 2*d + 3*l, -2 = -r*d + 2*l + 10. Suppose -40 = -7*p + d*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:04 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - w**2 - 3*w - 6. Let s(d) = d**2 + d. Let i(m) = p(m) + 2*s(m). Let b be i(0). What are the prime factors of ((-4)\/b)\/(3\/54)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 95*m**2 - 717*m - 324. Determine w(-102).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppepphhhh. Give prob of picking 4 h.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**5 - 3*g**4 - g**3 + g + 2. Let j(t) = -15*t**5 + 15*t**4 - 48*t**3 - 42*t**2 - 9*t - 18. Let o(y) = -9*i(y) - j(y). Let o(k) = 0. Calculate k.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -959 - -959.2. Let b = 0.08 + 0.22. Sort -3, 3, h, b in descending order.\nAnswer: 3, b, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -0.1, 101, -15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a factor of 4435573329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -76032 from 820.\nAnswer: 76852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -40, -4\/3, 2\/93, 4 in descending order.\nAnswer: 4, 2\/93, -0.2, -4\/3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 4:19 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 976 divided by 488\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (382\/2)\/((-380)\/(-760)). Calculate the greatest common factor of d and 5539.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51\/5 of a microgram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 40 = 2*p. Let z(r) = 2*r**3 + 3*r**3 - 7*r**2 - 6*r**3 + 0*r**3 - 6*r. Let j be z(-6). Solve j = -p*u + 8 + 17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2111 + -1025. Is t at most as big as 1085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 414 + 415 - 823.\nAnswer: -i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -15*a - 502. What is the remainder when t(-36) is divided by (-2)\/((-64)\/(-22) - 4 - -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90.81 - 91.0945. What is a rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.2 * 1.9652\nAnswer: 6.28864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 51431741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 3:51 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.3 + -2.58. Let j = 1474363 + -1474362.279859. Let h = j - y. Round h to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222020022 + -1120221?\nAnswer: -1000211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35, 34, 33, 32?\n\"Answer: -g + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.1 and 0.3?\nAnswer: -2.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 105434 to the power of 1\/2, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 8:11 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-12) - 38\/(-141). Let q = -29\/282 + r. Let b = -45\/2 + 24. Sort b, q, 4 in descending order.\nAnswer: 4, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 7*s - 10. Let m be p(-9). Suppose -2*l - 3*l = 5. Let r be l\/(1 - m\/6). Solve -r*x + 7 - 1 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 345604.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -560, -546, -530, -512, -492?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 8*g**2 + 6*g - 3. Let c be t(-7). Suppose -2*b + 7*b - 34 = -l, -c*l = 4*b - 24. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 240 + -711?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + 4*d + 8. What is the remainder when l(-4) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/9 + -2 + 2. What is the smallest value in -0.2, 3, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + -96 + 69 + (-1 - -1) - (4 + 0).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, v: 1, o: 3}. Give prob of picking 1 t, 1 v, and 1 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -462 - -474. Let p be ((-6)\/2)\/((-3)\/7). Solve 15 = 5*c - p*n + 2*n, 3*n = -k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*((-3)\/(-2) + -1). Let g be ((-83)\/249)\/(1\/3). Is g + (3 - p - -126) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, t: 1, b: 2, j: 1}. Give prob of sequence thbh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (117106\/(-11))\/(19 - 20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/12*6*(-2)\/(-20)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + 11?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 3:35 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 10*z**2 + 20. Let r(k) = -36*k + 33. Let t(i) = 7*i - 6. Let v(g) = -2*r(g) - 11*t(g). Determine s(v(q)).\nAnswer: 250*q**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (2 + 0 - -126). Let n = i + 223. Let r(t) = -2*t**3 + 42*t**2 + t - 2. Let y be r(21). Calculate the greatest common divisor of y and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 j, and 2 t when four letters picked without replacement from fjjjbbbbgbjtfjtjgg?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5132.49nm in micrometers?\nAnswer: 5.13249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1670833.43 + -5959.9.\nAnswer: 1664873.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1905*h + 1259*h + 498 = -3714*h - 8706 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 193 - 4 = 0. Let q(w) = w**3 - 7*w**2 + 5*w + 7. Let i be q(6). Calculate the remainder when f is divided by (-1)\/i*-6*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 441*m + 6928.\nAnswer: (m - 866)*(m - 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1087951 by 5.\nAnswer: -1087951\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3695259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 193 and 1158.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*o - 9659995, n + 5 = -4*n. Round o to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - j + 133 = 0, -v + 4*j + 28 + 7 = 0. Calculate the greatest common factor of 24 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - a**2 + 3 - 1 - a + a**3. Let c be m(2). Solve c*h = -h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 + 2*r**3 + 3*r**3 - 3*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 353578? (a) -1\/5 (b) 25 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.3, 137, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1035*k = -165*k + 31295 + 19105 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3983? (a) 2 (b) 2\/11 (c) -2\/183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 5*k**2 - 2*k**2 - 4*k**3 + 5*k**3.\nAnswer: k**3 - 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -11*x**3 - 5*x**2 - x. Let u(k) = -12*k**3 - 6*k**2 - k. Give 5*u(c) - 6*w(c).\nAnswer: 6*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/75 and -4\/4749?\nAnswer: 118725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -143135 divided by -11177?\nAnswer: 143135\/11177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from ozrkovorzzorrzzk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2361587123 to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 64\/3 of a day?\nAnswer: 512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 64*v**4 + 196*v**3 + 140*v**2 + 8*v = 0.\nAnswer: -2, -1, -1\/16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(82\/(-9) + 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-76)\/570)\/(1\/5). Which is the closest to w? (a) 1\/4 (b) 0.1 (c) -0.2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15600 + -15600. Let l(j) be the second derivative of -4*j + 0*j**2 + k + 0*j**3 + 1\/6*j**4. Let z(h) = 3*h + 2. What is z(l(i))?\nAnswer: 6*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 40*y - 16 + 17 - 24 - 44*y. Let x(s) = -s. Calculate x(m(u)).\nAnswer: 4*u + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 0) + 3 + 82 + -62.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**3 + 4*f**3 - f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -11, -4 in descending order.\nAnswer: 4, 2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/2)\/((-1)\/2). Suppose -3 = 16*i - 19*i. Solve -a*l + i = 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 10:03 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 0*m + 1\/3*m**3 + 32 + 0*m**2. Let f(h) = 8*h**2. What is f(r(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -60+90052902.43\nAnswer: 90052842.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -13*i - 73. Let x(o) = 38*o + 202. Give -7*v(l) - 2*x(l).\nAnswer: 15*l + 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/36 and 151\/663246?\nAnswer: 1326492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4)*(-24 + 32). What is the tens digit of -2 + 455 - (y + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 7*j**2 + j - 6. Let i be y(7). Let l be i*(-2 + 4) + 0. Determine t, given that -5 - t**2 - 8*t**2 - 10*t + t**l + 1 - 2*t**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 849*v - 841*v - 25*v**3 + 2526*v - 860*v in the form d*v**3 + q + j*v + y*v**2 and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, 2, 3, -7, 1.\nAnswer: -7, 1, 2, 3, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 9*s + 7. Let l be w(-9). Let x(g) = g**2 - 7*g + 6. Calculate the remainder when 25 is divided by x(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -2. Let x = -46.9 + 49. Let a = x + q. What is a rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -9. Let u = 0.3 + -0.2. What is the nearest to u in -5, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4330 - -127463. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*(-c - 5*c + 3*c)*((1 + 3 - 2)*(1 + 0 - 2) - 2 + 5 + 2).\nAnswer: 27*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**2*y**4 + 222*m**2*y**3 + 48*m**2*y - 6*m wrt y?\nAnswer: 12*m**2*y**2 + 1332*m**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 15 = i, -3*u + 12 = 2*i - 4. Let w = 19 - 17. Let t = 0.4 + -0.9. What is the closest to w in i, -2\/11, t?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and 0.01.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 669.3 - 669. Let p(i) = -i + 3. Let b be p(4). What is the closest to b in 0.2, u, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06696 - 2.06696. Let b = 0.5 - 0.4. What is the biggest value in a, -2\/17, 5\/4, b?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -30, 1 in increasing order.\nAnswer: -30, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*n**2 + 50*n**2 - 31*n**2 in the form v + s*n**2 + h*n and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -519.502 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(175)*5 + 0)**2.\nAnswer: 200*sqrt(7) + 4391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*n - 601 - 547 = -4 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*s. Suppose s + 7 = q. Suppose -5*d + 3*h = q - 2, 5*h - 35 = -5*d. Solve v - 3*b - 1 = 0, d*v - 4*b = -v + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -1. Suppose -3*f = 0, 0 = 2*s + u*f - 2 - 6. Suppose 2*k = s*t - 5*t + 3, -4*t = -2*k - 12. Is 1\/12 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**3\/4 - 1705737*x**2\/4 - 242462412297*x\/4 - 242460706563\/4 = 0.\nAnswer: -284289, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -895 - -901. Suppose -2*y = 3*g - 0*g + 11, -5*y = -g - 15. Suppose 3*b = -4*r + 52, -28 = -6*r + y*r + 3*b. Solve -o*n + r = -8*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7446 = 3*v - d - 18837, 0 = 2*v + 4*d - 17536. Calculate the remainder when v is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*z**2 + 6 - 11*z**2 - 18 + z to the form l*z**2 + h + j*z and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 5. Let c be m(-9). Let l(w) = -w**3 - 4*w**2 + w + 2. Let q be l(c). Is -2 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 0.4, -2\/21, -710\/429, -2, 1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/4)\/(((-90)\/(-57604))\/(-15)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2195 + 7177. Is 55 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 30*b - 160. What is l(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l + 10*l - 313*l**3 - l + 38*l**3 + 8*l**3.\nAnswer: -267*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*f + 175*f + 28*f.\nAnswer: 260*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 50 = -5*c - 12*u, 3*c - u = 30. What is the lowest common multiple of 35 and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2964697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*p + 29*p - 140*p + 36*p + 25*p.\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5074 less than 0.09?\nAnswer: 0.5974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 32 = 80. What is t rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**3*l + k**3*x - 304*k**3 - 642633*k**2*l*x**2 + 17830*l wrt x?\nAnswer: k**3 - 1285266*k**2*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 58 = 55. Let n be 9 + -8 + (t - 1). Suppose -51 - n = -r - 3*w, -5*r = -4*w - 355. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**3\/6 + 3*g**2\/2 - 9*g. Let m be o(6). Do m and 9 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 30 = 3*b, 2*b - 4*b = -3*w - 20. Solve 0 = -4*t + b + 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:04 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 903793526 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 2*a**6\/3 + a**2 + 9. What is the second derivative of f(n) wrt n?\nAnswer: 80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21287682 and 3016?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 4) to base 8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen fifths of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -802, -2941, -6426, -11263, -17458?\n\"Answer: -s**3 - 667*s**2 - 131*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from pqktpeqku?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*c + 27. Let f(z) be the second derivative of z + 1\/12*z**3 + 0*z**2 - 1\/40*z**c + 1\/30*z**6 + 0 - 1\/12*z**4. Find s such that f(s) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*sqrt(77)*-2)\/(sqrt(88)\/sqrt(2)*-1).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*d**2 + 26*d**3 - 2*d**4 - 3*d**4 - 27*d**3 - 27*d**2 - 6 wrt d.\nAnswer: -120*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 10 = 14. Let j be (2 - m\/6)*3\/(-11). Let y(i) = -i - 8. Let k be y(-7). Is j less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(405))*5)**2 + 3 + 2*sqrt(405) + 5*(-2 + 0 + sqrt(405))*5.\nAnswer: 1143*sqrt(5) + 10178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.05 and -11.\nAnswer: 88.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 402\/235 + 6\/1645. Factor 2*h + w + 2\/7*h**2.\nAnswer: 2*(h + 1)*(h + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -387499113, -387499115, -387499117, -387499119?\n\"Answer: -2*g - 387499111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5068898*y**4 - 57*y - 45290 wrt y?\nAnswer: -60826776*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 12*m**4 + 3932*m**3 + 309308*m**2 - 2111548*m + 669336 = 0.\nAnswer: -167, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 13*a**2 + 2*a - 9. Let z be v(-7). Suppose 4*m - 477 - z = 0. Let p = -26 + 43. What is the greatest common divisor of p and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178419193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -11 (b) -0.082 (c) 13 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*x + 105*x + 45 = 0. Suppose -4*a = -27 + x. What is the remainder when 69 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in 2\/21, 20, 3\/577, 2\/15?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -1 in descending order.\nAnswer: 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*u + 2*u. Suppose 0 = -4*k + u*m + 6, 0*k - 3*k + 11 = 5*m. Determine f, given that k*f + 2\/3*f**2 + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6556 + ((-20)\/12)\/(20\/(-72)).\nAnswer: 2, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0327 and 0.0774.\nAnswer: 0.00253098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 15 = -3*v. Suppose -5*u - 2*d + 3250 = 3*d, 5*u + v*d = 3248. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25 - -2a?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 92\/14 - (-12)\/28. Suppose -1 - k = -2*d. Solve -3*j - 3*a = -9, -2*j - j - d*a = -12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbsssmmssmsmsb. What is prob of picking 1 b, 1 m, and 2 s?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5884971 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3190040 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by -1.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-7))\/3)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 455 - 409. What is the remainder when 89 is divided by w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 15, -3*r - 1309 = -2*v - 0*r. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*2)\/(432\/1368)*(-147)\/49.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -27, 74, 289, 660?\nAnswer: 1229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 306?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -560, -1880, -4082, -7166, -11132, -15980, -21710?\nAnswer: -28322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 6. Let u = -10 + q. Solve -4*r = -5 + u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 1. Suppose 2*u = 4*s - 9 - 7, -5*s - 45 = 4*u. Let j(d) = -6*d + 2. What is u*k(q) + 2*j(q)?\nAnswer: -2*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**8\/28 - 31*a**7\/14 - 17*a**4\/2 + 4*a + 18. Find the third derivative of b(x) wrt x.\nAnswer: 240*x**3 - 5580*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -173, 0, 1301, -50, 5 in descending order.\nAnswer: 1301, 5, 0, -5, -50, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4\/7 + 230*g**3\/7 + 228*g**2\/7 - 438976*g\/7 - 438976\/7 = 0. What is g?\nAnswer: -76, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 77563512 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*o - 13 = -41, -c - 2*o = 4. Let r = 64 - -16. Suppose 5*w = -4*x + x + 60, -c*w - r = -4*x. Calculate the greatest common divisor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -664*q**3 - 5*q**2 - 5. Let m(p) = -3*p**3 + p**2 + 1. Determine c(a) + 5*m(a).\nAnswer: -679*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + (sqrt(72) - 4*sqrt(72)*-2 - sqrt(72)))\/(sqrt(300)*2))\/(sqrt(192) - -2*sqrt(192) - 1*1*sqrt(12)).\nAnswer: 9*sqrt(2)\/220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 31920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 2*u. Let o(c) = -c - 5. Let i be o(-5). Suppose s - 11 + i = u. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 2 + 12 - (28 + 5).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5830 divided by -13.\nAnswer: -5830\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 914 is divided by 303?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*h - h. Find the common denominator of -18\/11 and (-169)\/(-20) + (2 - 33\/h).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 2*p**2 - 8*p - 4. Let i be q(2). What is the biggest value in 0.01, 0.1, i, 2\/21?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + -49?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -12534?\nAnswer: 5\/12534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3 = 4*y. Suppose 2*l - 6 = 3*h + 8, -y*l + 2*h = -11. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 4) + 1*2. Let s be (690\/(-70))\/(-3) - (-4)\/(-14). Suppose -w + a*j + 5*j = -25, -s*w - 5*j = 5. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29, 24, 19, 14, 9, 4?\n\"Answer: -5*g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/22453 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 13*k = -48. Suppose -933 = -5*t - 2*i + 26, k*t + i - 766 = 0. What are the prime factors of t?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/6 (b) 5 (c) -1\/7 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1156*w = 1167*w - 47047. Round w to the nearest 100.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -16. Let n(i) = 1402*i - 5. Is n(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**2 + 232*b + 3198. What is the least common multiple of j(-15) and 63?\nAnswer: 22428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, k: 1, q: 1}. Give prob of picking 1 k and 1 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 164.4 (b) -2\/9 (c) -790 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/1*3*(-2)\/(-12). Let d(m) = 1. Let t(f) = 7*f**4 + 40*f - 3. Let z(r) = n*t(r) - 3*d(r). What is the second derivative of z(y) wrt y?\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*c + 138, -42 = -c + 4*j - 16. Is (c\/12 + -4)*-556 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2 - 330*w - 11592 = 0.\nAnswer: -28, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 + -95.2. Round n to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 = -3*j + 2*i + 185, 3*j + 67 = -11*i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*o + 1, -4*d + 2*o - 3*o = 4. Let p = 1 + d. Suppose p = -5*x + x + 44. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2\/9, 5, 1\/8 in ascending order.\nAnswer: -1\/3, 1\/8, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -16*o - 18*o - 16*o + 71*o - 22*o. Let r(d) = -d**2 + 138*d. Give k(r(c)).\nAnswer: c**2 - 138*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/(-340)*110\/(-2)*1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.421 + 4.321. Which is the nearest to u? (a) -2 (b) -3\/10 (c) -3\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 2*f. Let l be h(-2). Suppose -o + 2*o - 87 = l. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-45)*(-18250)\/365.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45927 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 55 + 9. Suppose 4*t - d = -4*x, t - 5*t - 18 = -x. List the prime factors of 254\/x - 14\/35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -651, -650, -647, -642, -635, -626?\n\"Answer: t**2 - 2*t - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17802101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256 > 1257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -28. Suppose v = 5*z - 12, z - 4 = 4*z + q*v. Let k(l) = 0*l**2 + 3*l**2 - 2*l**2 - 2*l**z. Let s(t) = t**2. Give s(k(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5616*k**2*o**3 + 6158*k**2*x**3 + k*o*x**3 - 40*k*x**3 + 2004*o**3*x**3 - 32*o**3*x - 2*o**2*x**2 wrt k?\nAnswer: 11232*o**3 + 12316*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1143\/10 + -111. Let b = 3623 - 47069\/13. Find the common denominator of b and z.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*a + 3023 = -44*a + 120*a - 1037 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 5406060?\nAnswer: -1\/1081212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 27 + 72 = 0. Find the common denominator of 9\/5 and (123\/(-28))\/(7*t\/8).\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 + 78 = y. Which is the third smallest value? (a) -9\/7 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + (-24 - -125 - 273)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence caat when four letters picked without replacement from {y: 1, c: 1, a: 6, t: 3, s: 4}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 2*f**6 + 2*f**3 - 1. Find the third derivative of j(a) wrt a.\nAnswer: 720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 117559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 + 681\/7. Let q = -975140 + 975136. Let i be (1 - -1)\/(4\/(-10)). What is the third smallest value in r, i, 8\/7, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 19. Let j(h) = -h**3 + 14*h**2 - 14*h - 14. List the prime factors of j(p).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -23. Suppose -5*k + 2*j = -3, -3*k - 3*j = -j - 5. Suppose 0 = -3*n, -2*m - 3*n = 3*m - 25. What is the closest to -2 in k, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-1352)\/(35 - 22))\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023 (base 4) in base 7?\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 != -0.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/10 and -62\/55.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 77, -21862 in increasing order.\nAnswer: -21862, 6, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 5*l**2 - 5*l**2 + (2*l**3 + 3*l**2 - 3*l**2)*(3*l - 5*l + 3*l) - 2*l**4 + 2*l**4 + l**4 - 7*l**4 + 5*l**4 + l**3 - 17*l**3.\nAnswer: 3*l**4 - 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 + 15. Let k = 685835.92710057 + -685928.9271. Let d = k + h. What is d rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d - 112 = -29*d. Calculate the highest common divisor of d and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8257 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*q - 12, 3*q - 16129 = 4*g. Let n = g + 6899. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4*(-4)\/12)\/((-2)\/(-72)). Let m be (4\/12)\/(40\/z). Let q = -3 + 3.3. What is the nearest to m in 5, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 172 - 166. Suppose -2*r + 2*x + 1240 = 0, -p*x + 4*x - 2 = 0. Calculate the remainder when r is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40030, -39991, -39946, -39895, -39838?\nAnswer: -39775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 855878?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1165 = 24*d + 1453 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55*((-3)\/8 - ((-18)\/(-720) + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cihh when four letters picked without replacement from {h: 3, r: 6, a: 2, c: 1, l: 3, i: 5}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -296559.06 to the nearest 1000.\nAnswer: -297000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, y: 1, u: 1, w: 2}. Give prob of picking 1 y and 2 w.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 + 104348*d**3 + 65037280*d**2.\nAnswer: -2*d**2*(d - 52790)*(d + 616)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.56 plus 29715.277943?\nAnswer: 29717.837943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 118820456.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2404931 is divided by 267201.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -41\/4, -46796 in ascending order.\nAnswer: -46796, -41\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 1, 19, 45?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -21*s + 125. Let o(v) = -v**2 - 15*v - 30. Let f be o(-12). Let j be t(f). Let q = 582\/35 + -91\/5. Which is greater: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 4:19 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 37. Let g(l) = l - 3. Let s be g(0). Sort 2\/5, 3, s, k in increasing order.\nAnswer: s, k, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 2*v + 2, -3*s + 3*v = 221366 - 221366 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 2*d + b + 23, 5*d - 2*b = 408. What is the remainder when d is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99983.\nAnswer: 13, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 10:15 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 131*s - 9127. Give d(66).\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-17\/4))**0\/((x**(-2\/7)\/x)\/((((x\/(x**(4\/7)*x))\/x)\/x)\/x*x)*(x\/(x*x\/(x*((x\/x**(-1))\/x)\/x)))**(1\/60)) assuming x is positive.\nAnswer: x**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3337 - -3400. What is the smallest common multiple of u and 750?\nAnswer: 15750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1385, 2747, 4109, 5471?\nAnswer: 6833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17023250641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8\/3*14\/(-168)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**3 - 26*q + 27*q + 2 - 2*q**3 to the form f*q**3 + y*q + g + d*q**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*x - 6*b - 27, 5*x = 2*b + 15. Let z be -1 - (-1 + 0\/x). Solve o - 5*m - 6 = z, -o + 4*m + 4 = -0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4709.\nAnswer: 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-8\/5)*a\/a**13)**(-2\/13))**3 assuming a is positive.\nAnswer: a**(408\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, -1\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**7\/231 - k**6\/165 + 21*k**5\/110 + 41*k**4\/66 + 20*k**3\/33 + 397*k. Let u(v) = 0. What is v?\nAnswer: -4, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4460523439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7 - (-11 + 1 - (-35 + 38))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2cc + -3?\nAnswer: 2c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 659071 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212 + 725. Let v = -351 + y. Calculate the remainder when v is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kknmmnqvvmmqvkqn. Give prob of sequence vn.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 14*r. Let i(q) = -94015*q**2. What is i(h(k))?\nAnswer: -18426940*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54987 - -380168. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34036 (base 7) in base 5?\nAnswer: -233402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 6*a - 18. Let g be r(-9). What is the greatest common divisor of g and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/15)\/((-1)\/(-21)). Let b(s) = s**3 + 8*s**2 + 6*s - 2. Let r be b(l). Which is greater: r or 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5775773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7424.3 and -38?\nAnswer: 282123.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-405 + 87 - 30)*(2 + 2 - 2)*(2*f**3 + 0 + 0).\nAnswer: -1392*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 + 301*q**2 + 453*q + 454. What is a(152)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884703.465 take away -16?\nAnswer: 1884719.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/25)\/(-9)*126\/(-28).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7159670 to the power of 1\/2, to the nearest integer?\nAnswer: 2676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - 2. Let h(q) = q + 10. Let k be h(b). Solve -2*z - k = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9136 and -17.\nAnswer: -155312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 211\/45389820 and 43\/28.\nAnswer: 45389820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -37*l - 4. Give s(-2).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1538 + -638. Let p be (-4)\/(m\/(-451)) - (3 - 1). Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 114387\/838*(-2)\/12 and 113\/1030.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x**2 + 826*x + 414. What is j(93)?\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a**4*d**2*h + 11*a**4 + a*d**2*h + 209*h wrt a.\nAnswer: 72*a**2*d**2*h + 132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9319?\nAnswer: 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3)*(4 + 2). Suppose -6 + j = -2*m, o - m - 10 = 0. Solve o = -4*c - 0*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*c + 11 = -26 - 530 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5218*l + 187808. What is b(-36)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 11*n**2 - 12*n - 2. Let z be m(-10). Let q = z + -15. Solve v + q = 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 49. Let b = f + 29.00014. Round b to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*j - 7*j**2 - 55*j - 54*j.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*16*6\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -179.4 - -180. Let s = -0.6 + 0.4. Which is greater: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 183*c**2 - 426*c + 9283. What is o(185)?\nAnswer: -1077","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2510 + -5474. Let t = -344 - -4798. Let w = t + m. Round w to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/7, 17, -2\/35, 7, 4\/5 in decreasing order.\nAnswer: 17, 7, 4, 4\/5, -2\/35, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-147)\/(-14) + 1200\/(-160). Which is the smallest value? (a) -45 (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(3 + -23). Let m = 12 - k. Let t(d) = -m*d**2 - 5*d + 5*d. Let s(q) = -3*q. Give s(t(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1493.503 to 0 dps.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1970838 divided by 656946?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -15*a - 13. Let t(u) = -6 - 5*u + 0*u + 0*u - 2*u. Determine 6*r(c) - 13*t(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117)*-3)*2)\/((sqrt(9) - (sqrt(9) - (sqrt(9) + (sqrt(9)*-4 - sqrt(9)))) - sqrt(9))*1 + sqrt(9)) + 3.\nAnswer: 3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/7))**(3\/41)*v**(-6)*v\/(v**(1\/6)*v)*v assuming v is positive.\nAnswer: v**(-8933\/1722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -72.92 (c) -116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 440564594 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 3 + -2 - -2. Let j = 12 - u. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (92\/(-10) - -10)*10. What is t in 7\/2*t**4 + 1\/2*t**5 - y*t + 4*t**2 - 8 + 8*t**3 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 2*q - 9\/2*q**2 - 49. Let g(w) = -w**2. Give g(h(t)).\nAnswer: -81*t**2 + 36*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -25375170054\nAnswer: -25375170057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l + l + (3 + 3 - 4)*(-1 + 2*l + 1) - 3*l + 2*l + 2*l - l + 0 + 0 + 1 - 1 + 2*l + l - 4*l + 4*l)*(-545 - 557 + 1046).\nAnswer: -448*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/(-330) - ((-35230)\/(-975) + -36).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2199\/(7*9\/63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/(-385))\/((-21)\/12*(-10)\/35)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051939 a multiple of 721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4860 is divided by 4798?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22637*g**3 + 11322*g**3 + 11317*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o - 4 = 0, -3*o = 2*j + 1781. Calculate the common denominator of 7 + j\/70 + 2\/(-8) and 19\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/1512 and -111\/20776.\nAnswer: 560952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -672665084 - -0.5.\nAnswer: -672665083.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1447848599 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -345*k**3 - 459*k**2?\nAnswer: -2070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1488 and 61296?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31783487 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-12)\/4 + 395. Suppose -6*t = -t - i. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 81\/45*(-1 - -6). Suppose c*y - 4*y + 20 = 5*u, -5*y = 3*u + 12. Calculate the remainder when 19 is divided by u\/(3*1\/33).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 78 = 20*y. Let w(a) = -7*a + 47. Let m be w(6). Solve -2*r + y*x - 1 = 0, m*x + 3 = r + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-4 + (-2 - -5))*-55 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30321.9982331 - 30322. Round g to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 11 - (-83 + 78)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 193195 = 2*y, 3*w - 2*y - 147683 = -31766. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 0*z**3 - 13 - 6*z**2 - 7*z - 16*z - 2*z**3 + 3*z**3 to the form k*z + u*z**2 + q + n*z**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 902.4408 micrometers?\nAnswer: 902440.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.666 * -3.\nAnswer: 1.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 521131260 - -3?\nAnswer: 521131263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -159354163\/390 - -408600. What is the common denominator of s and 79\/1560?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nls when three letters picked without replacement from {l: 2, s: 6, m: 1, y: 8, n: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z + 14 - 2*z - 3*z + 3*z. Let a be k(-12). Suppose -v - a*j - 6 = 0, 3*v - 2 = -3*j - 5. Calculate the remainder when v is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.853 + -3.\nAnswer: -23.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 3. Let g be j(6). Let u = -1 - g. Suppose 5*s + u*s = 364. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(252)\/sqrt(4).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.6885056, -2\/3?\nAnswer: -0.6885056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 - 225. Let v = -148 - y. What is the greatest common divisor of 345 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -325*m**5\/4 - 33435*m**4\/4 - 128598*m**3 + 20813*m**2 + 76248*m + 19152 = 0. What is m?\nAnswer: -84, -19, -2\/5, 12\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13408 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 233385 divided by -1022?\nAnswer: -233385\/1022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88 - -85. Let n be 1\/w + (-63)\/18 + 4. Let 1\/3 - 1\/6*i - n*i**2 = 0. What is i?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17034 + 17247. Solve 49*z - j - 81 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s - s - 5*s**2 + 3*s - 7. Let w(x) be the first derivative of -2*x**3\/3 + 3*x**2\/2 - 3*x - 65. Calculate -3*j(q) + 7*w(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 164 - 160. Solve -m*j - 1 = -5*b - 0, 2*b - 6 = 3*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.3 and 14.\nAnswer: 17.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.768 * 23.\nAnswer: 17.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p + 4. Let r be x(1). Let i(y) = r*y**2 - y - 3 + 7 - 5*y - 12. Let k be i(4). Solve k = b - 3*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -12*x**3 + 242*x**2 - 27*x - 224. Give s(20).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t - 64. Let l(q) = 2*q + 30. Suppose -90 + 126 = 6*d. Let o(b) = d*j(b) + 14*l(b). Give o(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + (79 - 78) - 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*y - 796 = 263, -2*y = 2*t - 1062. Suppose 6*r + t = -714. Let c = -123 - r. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjtt when four letters picked without replacement from {j: 4, t: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11892906 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -399\/116 - 9\/29. Let h = f + 4. Which is the fourth biggest value? (a) 2\/5 (b) -0.1 (c) h (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/1605422 and 125\/20748.\nAnswer: 183018108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 divided by 350663.\nAnswer: -198\/350663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/835 + 499\/835. Let y(l) be the second derivative of -1\/10*l**6 - 3\/2*l**2 - 3\/2*l**4 + 0 - 2*l**3 - 3*l - d*l**5. Suppose y(t) = 0. What is t?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 284487, 569046, 853605?\n\"Answer: 284559*u - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2))**(-12)*(n**(-8)\/n)\/((n**(6\/5)\/n)\/n*n) assuming n is positive.\nAnswer: n**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3408 - 3051. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -199\/66 - -17\/6. Let t be 14\/16 - 1\/2. What is the nearest to -1\/3 in 0.3, r, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4 + 2663114*u**3 = 0 for u.\nAnswer: -1331557, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + t**2 + 2*t**2)*(2*t - 5*t + 7*t).\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 111 + -4?\nAnswer: 10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -11, 1, 0 in descending order.\nAnswer: 1, 0, -11, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + n)*((-1 + 2*n + 1)*(154*n + 37*n - 42*n) + (3 - 3 - n)*(2*n + 0 + 0) - 2*n**2 - 3*n**2 + 6*n**2 + 4*n + 10*n + 16*n**2 - 17*n).\nAnswer: 313*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -89.2\nAnswer: -89.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwxwxw. Give prob of picking 3 w and 1 x.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**3 + v. Let n(o) = 5*o**3 - 2*o. Suppose 0 = -4*t - 16 - 4. Let j be t\/25 + (-14)\/5. Let p be (8\/6)\/(2\/(-6)). Determine j*n(k) + p*m(k).\nAnswer: k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -27237371, -2\/7, 0.4, -4\/9, -1?\nAnswer: -27237371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {r: 3, v: 5, q: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*m**2 + 17*m**3 - 11*m**3 + 320*m**2 - 8*m**3 + 108*m**2 to b*m + s + n*m**3 + v*m**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**8\/6720 - w**5\/120 - w**4\/12 + 4*w. Let v(n) be the third derivative of x(n). Determine v(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111269433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 503 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 3*j = 3. Let a = j + 12. Solve 0 = 4*p - 5*i + 20, -4*p + 2*i = a - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5207 is divided by 1727?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -306 + 558. Let a = 257 - u. Determine c, given that 12\/7*c**4 + 8\/7 - 50\/7*c**2 + c**a - 12\/7*c - 25\/7*c**3 = 0.\nAnswer: -2, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfh when three letters picked without replacement from ffffhfh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 2*r**2 + 2*r - 1. Let s be v(2). Solve -s*g + 5*g = 4*m - 12, -12 = -3*g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 + -311 - (-33 + -1) - (0 + (6 - 0))?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7*u**3 + 5*u**2 + 5. Let p = -10 + 12. Suppose 20 = -0*n - p*n. Let a(m) = 4*m**3 + 3*m**2 + 3. Calculate n*a(t) + 6*o(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = 11*i - 1558. Calculate the remainder when i is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -67, -88, -95, -82, -43, 28, 137?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3. Let u(n) = 14. Let g(w) = -21. Let f(d) = 5*g(d) + 7*u(d). Let z(i) = 2*f(i) - 5*v(i). Let l(m) = -2*m + 3. What is -l(b) + 3*z(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -164?\nAnswer: -65.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4*(sqrt(600)*-2 - sqrt(600) - sqrt(600)))\/(sqrt(96)\/(sqrt(12)*-1) + sqrt(288)*1))**2 + -1.\nAnswer: 19199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (54 + -53)\/(1\/(-9)). Let v(s) = -6*s - 58. Determine v(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2 + k. Let a be o(1). Solve -a*v + v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 13 = -38. Suppose 0*z - 2*z - 5694 = -q*c, -2*c = -2*z - 2280. Find the third derivative of c*v**2 - 1147*v**2 + 22*v**4 + 2*v**4 wrt v.\nAnswer: 576*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -54*z + 133 + 112. Let m(u) = 18*u**2 + 1 - 3*u - u - 4. Let o be m(-2). Calculate the highest common factor of o and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 15*n + 15. Let i be v(6). Let p = -11 - -6. What is the second smallest value in p, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4*t + 3*t - 2)*(20 + 21*t - 43*t + 26*t) in the form w*t + z + f*t**2 and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -75*v**2 + 18821*v + 994. Give a(251).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -6. Let t = -14.5034 - -2.5034. Let u = 1 + -1. Which is the nearest to u? (a) t (b) j (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b + 5. Let k be r(-6). Calculate the highest common factor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -38, -115, -266, -515, -886?\nAnswer: -1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -195 - -314. What is the greatest common divisor of j and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 17*u**2 - 60*u - 11. Is t(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250 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: Suppose -2*i + y + 1309 = 0, 0 = 3*i + 2*y + 2*y - 1969. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**2 - 11*h + 11*h + 5*h**2 + 13*h**4 wrt h.\nAnswer: 312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -159*s - 182*s + 670*s + (3*s + 2*s - 3*s)*(-2 - 5 - 3) to the form b + d*s and give d.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17167 divided by 1.\nAnswer: -17167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -10*x + 40. Let n(s) = 3*s - 13. Calculate 7*n(k) + 2*z(k).\nAnswer: k - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 20 = -8. What is the remainder when (18\/(-4))\/(x\/40) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 14*w + 2 = 0, -49*v + 22*v - 5*w + 9 = -26*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 266*z + 801. Let s be i(-3). What is the biggest value in 3\/16, -10, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 1:06 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 436267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7682, 15244, 22804, 30362?\n\"Answer: -z**2 + 7565*z + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -10 + 42*m + 3 + 13*m - 60*m. Let x(h) = 6*h + 7. What is 5*p(s) + 4*x(s)?\nAnswer: -s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642278 is divided by 241.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2. Let a(y) = -368*y - 12. Calculate a(b(d)).\nAnswer: 1104*d**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, e: 2, h: 3, l: 8}. What is prob of sequence llh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 423 + -29. Let j = -399 + o. Sort j, 7, 2\/5.\nAnswer: j, 2\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * 14.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5898*o**3 - 443*o + 443*o - 754*o**3.\nAnswer: 5144*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -18440 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -27076 - -456.32801\nAnswer: -26619.67199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-86)\/(-4) - 7\/14. Suppose 2*g = q + g, 2*q - l = -5*g. Suppose h - 37 = -q*s, 0*h = 2*s - 3*h - 32. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -79 + 3*z**4 + 79 + (-z + 2*z**2 + z)*(3*z**2 - z**2 - z**2) - 17*z**4 + 13*z**4 + 10*z**4 + (6*z - z - 3*z)*(0 + 0 - 2*z**3).\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-5)*(-40)\/(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 - 1. Let t = -7 + 8. Let h be i(t). Solve -4*a = h*d, d - 4*d - 2 = 5*a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 26005*j - 26000.\nAnswer: -5*(j + 1)*(j + 5200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + x + 1. Let u(v) = 3*v + 121. Let c be u(-37). Let m(n) = n + 1. Calculate the remainder when y(5) is divided by m(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 66145750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -100667.959 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -1. Let r be x*2 - 12\/(-3). Suppose -k + 11 = 3*w, 3*k - r*w = 5 + 6. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 54 = 0, -509*f + 35 = -510*f - 4*j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*3*(-2)\/(-3). Let n be -1*(-1)\/(2\/20). Let h = q + n. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 14*q**2 - 4*q**4 + 20*q + 2*q**2 - 20*q**3 + 7*q**4 - 8 + 15*q**4 - 2. Let b(d) = 2*d**4 + 1. Let h(s) = 8*b(s) - k(s). Factor h(j).\nAnswer: -2*(j - 9)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/(2\/(-6)). Let l(z) = -2 - 13*z + 2 + 11*z. Let m be l(-2). Put m, 0, g in decreasing order.\nAnswer: m, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415267 is divided by 59?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -9*f**3 - 2*f**2 + 3*f + 7. Let x(l) = 13*l**3 + 3*l**2 - 5*l - 10. Let j(s) = -7*m(s) - 5*x(s). Let h be j(-2). Solve 5*i + 20 + h = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z + 134. Let m be b(33). What is the units digit of (-3 - m)\/10*-1142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 43 = 3*y, -9*t = 3*y - 12*t + 5*t - 28 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20667\/2*n + 1\/2*n**3 - 571787\/2 - 249\/2*n**2 = 0. What is n?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 102*a + 6229. Let r be k(-61). Solve -r*m - 37*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -10\/11 (c) -5 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*v**4 + 0*v + 0 + 2\/5*v**2 - 2\/5*v**5 + 2\/5*v**3.\nAnswer: -2*v**2*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j = 3*n + 3, 0 = j + 4*n + 4. Let w(h) = h - 15. Let m be w(j). Let d = m - -28. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**3 - 11*u**3 - 1 + 9*u**3 + 0 + 5*u**2 in the form t*u**3 + o*u**2 + b + n*u and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + a**2 - 1. Let u(h) = 4*h**2 + h - 4. Determine 4*g(j) - u(j).\nAnswer: 4*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 - 46*x + 61*x + 43*x**2.\nAnswer: 43*x**2 + 15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -175128 != -175128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 0. Let j(z) = z**2 - 4*z - 4. Let k be j(4). What is the remainder when 37 is divided by (52\/8)\/(x\/k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 70\/(-4)*(-216)\/30. Find the third derivative of -57*f**3 - 59*f**3 - u*f**2 + 172*f**3 wrt f.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (7 - 13) - 4) + (1 - 2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34279907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -2db11b1?\nAnswer: -2db11ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1438 = 3*c + 5*g, 5*c - c + 2*g = 1908. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*z - 2*v + 18, 3*v = z + 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, z: 15}. What is prob of picking 4 h?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116647.\nAnswer: 67, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u - 66. Let r be k(-9). Let s = r + 724. List the prime factors of s.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**9\/22680 + f**8\/10080 - f**4\/12 + f**3\/6 - 34*f - 3. Let v(x) be the third derivative of c(x). Factor v(t).\nAnswer: -2*t**3*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2391*q**6 - 79*q**2 - 12*q?\nAnswer: -286920*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.089385 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 4*q + 34 = 0, 0 = 3*a - 7*a - 201432*q + 201526*q + 70 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -115844, -231700, -347578, -463490, -579448, -695464?\n\"Answer: -2*j**3 + j**2 - 115845*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Let r be u(-3). List the prime factors of (-4 - -8 - r) + 111.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 2*p**2 - 7*p - 6. Let n be r(-3). Suppose 9*u + n = 14*u. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006054 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 105?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.179341148 rounded to three dps?\nAnswer: -0.179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 12. Let i = -42732 - -42773. Sort i, 0, j in decreasing order.\nAnswer: i, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 6, -16, -5.\nAnswer: -16, -5, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 833397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2245?\nAnswer: 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 - 7.7. Let i = c + 6.7. Let b = -4.7 + -0.3. What is the nearest to 0.1 in b, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -953312*u**3\/5 - 23064*u**2 - 930*u - 25\/2 = 0?\nAnswer: -5\/124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 493560 and 8.\nAnswer: 493560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 657\/(-1)*(-40)\/1440*4\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 10*a + 2. What is n(-5)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9 + 4)\/15)\/((-40)\/(-960)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 80\/(-3)*48\/16. Let p = n + 83. Let k be 3\/9*0 + (p - 116003). What is k rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-1)\/3)\/(8833\/12474 + 10\/(-14)) and 186.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14266519 to the power of 1\/3, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 316229271 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-5)*-6*110\/1188.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + (8 - 14 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1352 = 3*r + r. Suppose -5*u - 328 = 2*p + p, 5*u - r = 3*p. Let m = p + 280. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t + 1648 = 1615 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8982, -245\/3, -4, -3\/4, -1.\nAnswer: -245\/3, -4, -1, -3\/4, 8982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 8492*j**2 + 9*j + 42. What is the ten thousands digit of r(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-44)\/12 - -4)*171. Suppose 0 = -5*u + 4*r + 134, 0 = 2*u - 8*r + 3*r - a. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooi when three letters picked without replacement from {o: 4, i: 14}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n + 1. Let l(g) = -20*g + 2. Suppose 20*i = -155 - 65. Determine i*c(j) + 4*l(j).\nAnswer: -3*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-11) - 420\/(-110). Suppose 0 = a*h - 12, -11*h - 82 = -2*o - 15*h. Calculate the remainder when 346 is divided by o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 81495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 2044?\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59966904?\nAnswer: 2, 3, 61, 40961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eekazaow. What is prob of picking 1 e and 1 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y + 6. Let j(a) = -5*a - 7. Suppose -4 - 3 = -q. What is q*o(v) + 6*j(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 347 + -369 - (2 + (5 - 2)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8212898.77 rounded to the nearest 1000?\nAnswer: -8213000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 409 = 5*t - 2*t, 112 = i - 4*t. Sort i, 1, 3, 5.\nAnswer: 1, 3, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3502, 2, 6, 2\/37, -6\/11 in ascending order.\nAnswer: -6\/11, 2\/37, 0.3502, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - -15. Calculate the smallest common multiple of w and ((-30)\/8)\/(((-36)\/6)\/(16 + 40)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 25 + 10, -o = 2*l - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8\/9 (b) 2\/11 (c) -5 (d) 5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6842769 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -386424 by -24.\nAnswer: 16101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1\/10, -0.5, -2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -24. Solve 6*d = i*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 56 = t. Let n be (4\/10)\/(12\/120). Solve -2 = n*i + 5*v, -3*v - t = -i - 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/7)\/f**(2\/13)*(f\/((f*f**(-1))\/f*f))**44 assuming f is positive.\nAnswer: f**(4003\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.3. Let f = -0.017 - 1.983. Put f, 1\/2, v in ascending order.\nAnswer: f, v, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13419)\/994*(16\/6)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 24*d**2 - 28*d + 9. Let s be a(-24). Let y = s + -85124\/125. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3 + (-20)\/(-12) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*f**3*h**3 + 74*f**3*h**2*k - 17*f**2*h**3 + f*h**3*k + 2 wrt k?\nAnswer: 74*f**3*h**2 + f*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*w - 1699 - 124 = -143 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, j: 9, s: 2, l: 1, a: 1, k: 1}. Give prob of picking 3 j.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b. Suppose 5*o - 25 = 5*y, -10*y - 5 = o - 9*y. Let l(t) be the second derivative of 0*t**2 + 1\/3*t**3 - 4*t + o. What is -2*g(k) + 6*l(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 379121087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127355080?\nAnswer: 2, 5, 3183877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.19 - 2.31. Let d = j - -2.7. What is the third biggest value in d, 3\/7, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 less than 382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g + 9. Let k be w(-2). Let m be ((k\/(-5))\/(14\/(-42)))\/1. Let j = 5 - 3. What is the nearest to j in m, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5317059971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 165.09 and -348.6926636?\nAnswer: 513.7826636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 17*p**3 + 5*p**2 - 5*p**2.\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + h + 7 = 0, -3*h - 5 = 4*m - 0*h. Is m greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14006 - 14008. Put -36, q, 0 in descending order.\nAnswer: 0, q, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 22556*k - 2. Let j be o(3). Suppose 2*c = 37334 + j. Round c to the nearest one thousand.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-40)\/18 + 9 + -7. What is the nearest to -0.5 in z, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234228234 - 4.653.\nAnswer: 234228229.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 1:02 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.61 + -0.6085. Round j to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) 5 (b) -1 (c) 13.89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-24)*1296\/(-3402)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*p - 0*p + 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2016 and 9051?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220 - b + 90 - 34 + 237 + 65.\nAnswer: -b + 578","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*s + 1197 = -212*s. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29061.15 millennia in decades?\nAnswer: 2906115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afaf when four letters picked without replacement from faaafafaaaafaaaaaaaa?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19491*l*s + 30986*l + 187*s - 193 wrt s.\nAnswer: 19491*l + 187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (423 - 419)*((-2 - (-22)\/8) + 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(200)*4.\nAnswer: 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 171695676.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-2)\/z))**(12\/7)\/(((((z**(-1\/4)\/z)\/z)\/z)\/z)\/z*z**28) assuming z is positive.\nAnswer: z**(-445\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-35) - 1\/(10\/(-94)). Suppose -15*h + 234 = -p*h. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s + 389. Let v be q(48). Let w = 1 + 0. Suppose m - w = 1. Solve -2*c + 8 = -2*j, -v*c + 4*j + m + 16 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*b + 5*i, -4*b - b + i = -11. What is the lowest common multiple of 4 and 19 + -2 + b\/3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 - 121.99947. Round n to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -57*r + 3. Let q be (-4)\/(-10) + (-9)\/(-15). Let f be (-4 + 2)*q\/2. Is 15 a factor of h(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129924421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -134506*u - 1345054. Determine v(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -389*b**4\/3 - 1252*b**3\/3 - 371*b. Find the second derivative of c(o) wrt o.\nAnswer: -3112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.954 + -10\nAnswer: -11.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120.12 + -120. Round y to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 48 = -2*t. Suppose -7*z + t + 909 = 0. Calculate the remainder when z is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 11) to base 8.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -4250607?\nAnswer: -4250611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 855107253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - n = 37459, -2*t + 4*t + 2*n - 74934 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/10, 1\/2, 0.05, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 4*t + 4*q, -q = -2*t + 3*q - 42. Let x be (-4)\/(-14) + (-36)\/t. Suppose x*k - 14 - 6 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 169*q**5\/12 - q**4\/24 - q**3\/6 + q**2. Let i be o(-1). Suppose -3*v + i = 2*v - 2*b, -5*v - 3*b = -845. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48395 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9687*b**3 - 4821*b**3 - 4949*b**3.\nAnswer: -83*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11235613*z - 1316677.\nAnswer: -11235613","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**3 + 9*s**2 - 23*s + 9. Let j(z) = -3*z**3 - 4*z**2 + 11*z - 4. What is 9*j(m) + 4*r(m)?\nAnswer: -3*m**3 + 7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*z**4 + 9\/2*z - 15\/2*z**2 + 7\/2*z**3 + 0.\nAnswer: -z*(z - 3)**2*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a - 3. Let v = -4 + 0. Let x be l(v). Suppose -4*g + 6 = 2*p - 8, 2*g - 1 = x*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1041*y**2 + 8684.\nAnswer: 2082*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*t + 76. Let o = -19 + t. Suppose -5*x = -4*z + 7*z - 26, 4*z - 4 = x. Solve o = 5*m + 15, -2*m + 4*m - 2 = -x*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4875 > -4871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9078398 meters in centimeters?\nAnswer: 90.78398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 7 + 6 - -6 - 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9387 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + a + 2*a + 6*a - 13. Let h be y(7). Let t(g) = 6*g**2 + g. Let d be t(h). Solve 0 = 2*z + m + 12, -z + 0*z = m + d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4406.\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (810\/72)\/((-2)\/(2*4)). Let y = l + 46. What is the greatest common divisor of y and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2515124219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914 + ((-80)\/(-30) - 2)*(-6)\/(-4) is divided by 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1088) + 5*(0 + sqrt(1088)) - sqrt(1088)) + -3)**2*5.\nAnswer: -2800*sqrt(17) + 136245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001193177082 to six decimal places.\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005155437018 rounded to five dps?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 54.6 and -580238.\nAnswer: -580183.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 25947075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/(-2) + 3905\/858 + (-28)\/(-12) and 4 - (30\/26 + -1).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -2 (c) -0.08 (d) -3\/7 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42274.\nAnswer: 2, 23, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 25.6. Let v = 6 + -3. Let w = v + n. Which is the biggest value? (a) w (b) -0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 191*d + 5 + 191*d - 18*d**2.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/4717336 and 39\/5360?\nAnswer: 47173360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 9, p + 2*c + 3*c - 20 = 0. Suppose 4*n - 4*w = 4, 1 = -0*n + n - 3*w. Solve p*d = 6*d + n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2077 + 1936. Are -143 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vooqqmvmmvoqvvvvym. Give prob of sequence qvmm.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.572871 months to decades.\nAnswer: 0.154773925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 838 = o - d - 127, 0 = -o - 2*d + 971. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 3. Let i(h) = -6*h - 17. Let m(a) = -4*d(a) - i(a). Give m(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206732, 207125, 207518, 207911?\nAnswer: 208304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 63\/(-105) + 6\/10. What is the closest to y in 36\/11, 0.4, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259310 is divided by 460?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 318 (base 14) to base 7.\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3828741?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-1))\/(-20))\/(((-22)\/8)\/(-11))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -16*l + 3. Determine f(-3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2347*j - 49225 + 98450 - 598*j + 733*j - 49225.\nAnswer: 2482*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 + 15*u. Suppose -12 = -3*b, -3*s = -s + 4*b - 4. Is r(s) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(-16)*(k*k**2)\/k*(k**3)**(-47) assuming k is positive.\nAnswer: k**(-153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/290 > 827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/14*-94 - -5. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -13. Suppose 3*z + k = v, -2*z - 27 = -3*v + z. Solve -2*f + v = -7*f - a, -f - 3*a = -12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 502800 and 30336?\nAnswer: 317769600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*t**3 + 120 - 94*t**2 - 5*t**3 + 21 - 924*t + 835*t**2 + 63.\nAnswer: -3*(t - 34)*(t - 1)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t - 9 - 10 - 11*t - 9 - 13 + 23*t.\nAnswer: 3*t - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 97352556?\nAnswer: 389410224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105\/2 + -479\/8. Let s = -16\/1053 + 91867\/16848. Find the common denominator of s and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3075.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*t - 67*t - 483. What are the prime factors of t?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) - (-9)\/60. Let l = -272\/705 - 2\/141. Is l >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1391*q + 21913 + 14253 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 + 169*b - 63. Calculate r(84).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71255.1 millennia to months.\nAnswer: 855061200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2301*w + 2839*w - 4572*w)*(w - w - 8*w).\nAnswer: -4544*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0026 + 358.9974. Let j = n - 332.9. Let f = j + -28. What is f rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -372115 divided by -19585\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2. Let j be -4 + 13\/(-2 + 3). Let y(q) = j*q + 9*q - 16*q. Determine v(y(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -1 - 5 + 2 + h**3 + 2. Let t(q) = 8*q**2. Determine g(t(k)).\nAnswer: 192*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1992 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 763 divided by -546?\nAnswer: -109\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -76 and -18?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {c: 1, f: 1, w: 1, o: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.872 - 0.128. Which is the nearest to 5\/6? (a) h (b) -1\/4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -51*q + 3. Let g be j(3). Let d be -110 - -6*(-2)\/(-4). Let u = d - g. Is u a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 13 + 0 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 427.526 + 0.474. Let y = -424 + n. What is the closest to -6 in y, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/425 and 127\/15634050.\nAnswer: 15634050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -13 - 5*v**2 + 2*v**3 - 3*v**3 + 3*v + 0*v**3 - 1. Let b be d(-6). Solve -3*m + f - 5 = 2*f, -20 = -b*m + 4*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47\/12 or -0.14171?\nAnswer: 47\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 623 = j - 689, -5*j - 4*a = -366. What is the remainder when 2237 is divided by j?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 60*o**2 + 1396*o - 1398. Determine t(1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3665728 and 141963648?\nAnswer: 1561600128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 6:46 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33\/2*v**3 - 6 - 3*v**5 + 33\/2*v**4 - 21\/2*v**2 + 39\/2*v = 0 for v.\nAnswer: -1, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25529762 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -40071073 take away -0.1?\nAnswer: -40071072.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.4 + -7.2. Let b = -5 - y. Are -3 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 11*i**3 + 37*i**2 + 8*i - 6. Determine g(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1303, -25, -2, 75 in decreasing order.\nAnswer: 75, -2, -25, -1303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**5\/20 + n**4\/3 - 2*n**3\/3 - 34*n. Let m be s(3). What are the prime factors of m - 2 - (-4 - 147)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 38*c - 203. Suppose -140 = -4*p + 132. What is the remainder when p is divided by r(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 882287*v - 8822870. Calculate k(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -11*u**3 + u**2 + 5*u + 16. Let t = 138 - 142. Let c be d(t). Round c to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1532?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111111110000101011011 + 101?\nAnswer: -10111111110000101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -12. Suppose -n*o = -14*o - 1396. Suppose -7*m = -o - 1744. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08007048 and 4.\nAnswer: 0.32028192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 6*u - 144. Let t = 122\/5 - u. Which is the nearest to 0? (a) 0.5 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*r - 81 + 81)*(8 - 2 + 7 + (-2 - 2 + 3)*(-1 + 4 + 0)) as m + h*r and give h.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3948, -3951, -3954, -3957, -3960, -3963?\n\"Answer: -3*k - 3945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 less than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -68275, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2966 - 2206. List the prime factors of 12\/(-28) + h\/(-14).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 223261641?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 + -41. Let x = t - 17. Solve 0 = -3*y + 8 + x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + (sqrt(245) + -2)*2 - (sqrt(245)*3 + 5)*4)*-1)**2.\nAnswer: 3780*sqrt(5) + 25229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*j = 4*j + 3, -2*j + 2 = -2*b. Solve -q - 4 = 0, b*a = q - 2 - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -129.\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2303168 by -2716.\nAnswer: -848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/3)*o*o*o)\/o)**13*((o\/(o\/o**(-2)*o))\/o)**(2\/67))**(-32) assuming o is positive.\nAnswer: o**(-222208\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.9322781 rounded to 2 dps?\nAnswer: 31.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*n + 2*j + 3, -5*n = -3*j - 15. Let q(f) = f**3 - f + 10. What is the remainder when q(n) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -646, -970, -1298, -1630, -1966?\nAnswer: -2306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1066)\/16)\/41*(-780)\/845\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 87*z - 4968. Give i(-50).\nAnswer: 1882","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)*h**(1\/4)*h*h*h*h**6*(((h\/h**6)\/h*h*h*h)\/h*h)\/h)**(-30) assuming h is positive.\nAnswer: h**(-339\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6962 - -13469. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 4, -133, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6227, 6209, 6191, 6173?\nAnswer: 6155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -1\/5 (b) 45.2 (c) 173 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 6*v + 60 = 0. Is v - 11\/((-33)\/426) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.65 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - q**2 - q + 1. Let t(v) = -14*v**3 + 4*v**2 + 4*v - 4. Give t(p) + 4*x(p).\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*6*5 + (sqrt(228) - (sqrt(228) + -4*sqrt(228)*-1)))\/((-4*sqrt(120)*-1)\/(2*sqrt(160))))**2.\nAnswer: 51376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 - -3) + 13 + (-60 - (24 + 36)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 3. Let h be t*(6\/4)\/3. Suppose -h = -2*q - 1. Solve -q*u + 5*d + 19 = 0, 0*u + 3*d = u - 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2116153 by 9.\nAnswer: -2116153\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxirikkrkrrpxkrkk. What is prob of picking 1 p and 1 k?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 g when three letters picked without replacement from {m: 10, d: 1, b: 3, g: 1, x: 4}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**3 - 4*t**2 - 8*t - 10. Let f(x) = -x**3 - 3*x**2 + 3*x - 7. Let o be f(-4). What is the tens digit of q(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjjjsjssrsjjssjsj. Give prob of sequence ssr.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 578420153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 19?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 0.17 (c) -0.998 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 12 = -l - 5*i, -5*i = 5*l + 225. Let k(j) = 31*j - 361. Let f be k(10). Let n = l - f. What is the closest to n in 0.3, -0.2, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 84 = -95. Solve -3*y = 3*l, 2*y - l - m - 11 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/124*57\/(-57)*(-4)\/(-1).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2305722 to the power of 1\/2, to the nearest integer?\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 12*u**2 - 352*u + 720.\nAnswer: 4*(u - 10)*(u - 2)*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 5*i - 5. Let a be u(-5). Let v(p) = -3*p - 4295 + 6*p + 4299. Calculate v(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -372 - 9a9?\nAnswer: -115b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 6. Let h be w(6). Suppose h = 4*y - 5*s - 0*s - 9, 0 = 4*y + 5*s + 1. Let m be (0 - -1)*1*y. Let n(z) = -5*z**2 - 2*z + 1. Calculate n(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67 + 155*a + 2*a**2 - 67 - 155*a - 206*a**3 to the form i*a + f + b*a**2 + h*a**3 and give h.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeejjee. Give prob of sequence ejje.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -245, -415, -629, -899?\nAnswer: -1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9.378239 - 3976\nAnswer: -3985.378239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 + 10*s**2 - 7*s - 1. Let o be z(-6). Let b = -281\/9 - o. Which is bigger: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + 170. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -18*x**5\/11 - 50*x**4\/11 + 102*x**3\/11 + 34*x**2\/11 - 84*x\/11 + 16\/11 = 0.\nAnswer: -4, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 7*x + 6. Let f be b(4). Let k(m) = -m + 8. Let g be k(3). Solve h + g = 2*t, h + 3*t - f = -0*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*v + 11*v + 4*v)*(0 + 1 - 39*v - 12*v) - 4*v - v**2 + 2*v + 2*v**2 to the form f*v**2 + a*v + w and give f.\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2834741 is divided by 46.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffh when four letters picked without replacement from fnmpfmhhphhfrrm?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15 + ((-11)\/33)\/((-294)\/99 + 3)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from pnsen?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(133)\/sqrt(7)*5*2.\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 48*d - 43. Let c be t(25). Let q be 586\/4*(-3 + c). Suppose 7*l - 30 = q. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 14. Suppose -5*z - 15 = d*q, 3*z - 2*z + 3 = q. Suppose 3*i + 3 = q, -8 - 2 = -2*r + 4*i. Solve -r*s - 15 = -8*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2292 = 8*d. What is the remainder when d is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 - 289 = 138*y - 1446 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/9, 3, -29, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**4\/4 + 17*w**3\/4 - 39*w**2\/4 + 7*w\/4 + 5\/2 = 0. What is w?\nAnswer: -5, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1830 = -281*z + 98*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 12 = 8*x, x - 296 = -2*q. Let r(j) = j**3 + 7*j**2 - 6*j + 1. Let b be r(-6). Let v = b + q. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t = 25*t + 205. Is -163\/4 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -84, -2, 24, -5, 960.\nAnswer: -84, -5, -3, -2, 24, 960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161610*k - 69 = 161598*k + 27 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 215 and 264598651.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 9*n**2 + 8*n. Let q(s) = s**3 - 16*s**2 + 15*s - 7. Let i be q(15). Let p = -1 + i. Give j(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2386910055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 z when three letters picked without replacement from rrrzzzirrirrrrrrrr?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 605*x + 28 - 6 - 22 - 22*x.\nAnswer: 583*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j**2 - 2*j + 1. Let h be a(1). Let q = 511 + -116. Suppose h*m - 4*m = q. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 357, 0, 5, 4, 3 in ascending order.\nAnswer: 0, 3, 4, 5, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 5 (b) -3 (c) -0.057 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10 + 10\/(-50).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/24*(5 + (-11)\/3). Factor f + 2\/9*u - 2\/9*u**2.\nAnswer: -2*(u - 2)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25, 39, 47, 49, 45?\n\"Answer: -3*p**2 + 23*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 59320, 5, -1 in decreasing order.\nAnswer: 59320, 8, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*i - 267 = -92. Let p(y) = -48*y**3 - 12*y**2 + 12*y. Let a(v) = -v**3 - v**2 + v. Calculate i*p(d) + 12*a(d).\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/6723 and 25\/9.\nAnswer: 6723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 5*y + 5*y - 4*y - 7*y in the form t + i*y and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 221 - 213. Let t be u + 3*(-4 - -2). Let x(r) be the second derivative of -r**3\/2 - 2*r**2 + r. Let f(g) = g + 1. Determine t*f(i) + x(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000112775208 to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Factor 35*n**3 - 1625*n**2 + 19205*n - 7935.\nAnswer: 5*(n - 23)**2*(7*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -970.92594 and -27.247.\nAnswer: -998.17294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 0.127, 7.5 in decreasing order.\nAnswer: 7.5, 0.127, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 35. Calculate the lowest common multiple of t and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4444205441 + 4?\nAnswer: -4444205433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234 divided by -2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 2149, -42?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g - 1 + 1 + 3*g - g - 4*g + (-3 + 4 - 2)*(3*g - 6*g + g) - 2*g + g + 0*g + (-2*g - 1 + 1)*(-7 + 2 + 2) + 0*g - g + 0*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -210*s - 2. Let d be x(2). Find the common denominator of (-2 - (-26)\/9) + 2 and d\/(-10) + 1\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -6*k**5\/7 + 1358*k**4 + 8561946*k**3\/7 - 20099074*k**2\/7 - 62924388*k\/7 + 22890800\/7 = 0.\nAnswer: -643, -2, 1\/3, 4, 2225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 40667.\nAnswer: 40667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2154393022 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1216190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 25*m**2 - 154*m + 53. Calculate the remainder when 235 is divided by j(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010100011000 (base 2) to base 4\nAnswer: -3110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -22950779 and -22950777 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -48*r**5 - 868*r**4 - 2196*r**3 + 460*r**2 + 1476*r - 360 = 0.\nAnswer: -15, -3, -1, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 206 - 46. Suppose -4*g + a = 4*m, 2*g = -5*m + 47 - 2. Calculate the greatest common divisor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111 * -2.5.\nAnswer: -277.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 7. Let f be 27*(4 - (-7)\/b). Suppose -114 = -2*r - 4*p, p + f = r - 0*p. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6679*h - 6702*h + 161 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t = -660*t + 128*t - 15747 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g = -507. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 + 42*g - 6. Let s be o(-10). Suppose 5*i - 397 = -t, 0 = 4*t - 2*i - i - 1496. Let h = t + s. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqzqqqqqqqqqqqzzq. What is prob of picking 1 z and 1 q?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -35. Suppose -f*a + 4*q = -420, a - 73 - 38 = -q. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 52593*s + 315762. Calculate j(-6).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7614 > 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 40*s - 184. Let k be l(5). Suppose 9*t - 29 = k. Solve -1 = 3*u - 2*q, 4*q + 2 = 5*u + t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -21*3\/(-2 - (-1)\/1). Calculate the highest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182*0.3\nAnswer: -54.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 628379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49749?\nAnswer: 3, 7, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m - 9 = 6*f + 13*m, -5*f + m - 17 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14750 + -14760.4012. Round o to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 3*w**2 + w - 1. Let v be y(3). Let u be (28\/(-42))\/(v\/9). What are the prime factors of ((-104)\/(-24))\/((-1)\/u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -4*f - 4 - 5, -21 = -2*h + 5*f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 51 + 1. Suppose 5*g - 26 = y + 174, -5*y = w*g - 160. Solve -m = 7*m + g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101535726 by -1637673.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8633440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39, -33, -19, 3, 33, 71?\n\"Answer: 4*s**2 - 6*s - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 16*f + 1. What are the prime factors of d(2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -5*u - 308. Suppose u = -x + 5*x. What is the greatest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a + 25*a - 10*a - 7*a - 14*a - 17*a + 2.\nAnswer: -6*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 60. Let l be c(7). Suppose 3*r = -3*o + 20 + 37, -2*r = 5*o - l. Which is smaller: -2\/13 or r?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-20))\/((8\/(-140)*-14)\/((-16)\/4)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -145 - -267. Let s = -121.99999882 + u. Round s to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttjjjjjtjjjtttjttjt. What is prob of picking 1 j and 1 t?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50014476.9 - 8295.\nAnswer: -50022771.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3082653 is divided by 454?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3050 = 10*l. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**4*h*h\/((h\/(h**(-5)\/h))\/h))**10)**(22\/9) assuming h is positive.\nAnswer: h**(220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132 - -400\/3. Solve 2\/3 + 2\/3*n**4 + 0*n**3 + 0*n - y*n**2 = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*r - x - 3*x - 155, 5*r = 11*x - 14*x - 30 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81283 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vovv when four letters picked without replacement from popvhvhivhpvvv.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 97280 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n + 3*n + 16. Suppose -6*f = -5*c - 3*f - 567, n*f = 4*c + 454. Let u = c + 115. Solve m + u - 4 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2575, 8136, 13701, 19270, 24843, 30420, 36001?\nAnswer: 41586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**3 + 232*q**2 - 844*q - 1080 = 0?\nAnswer: -1, 5, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 + 93 - 20*a**4)*(-1 - 5*a + 1) + 5 + a**5 - 5 + (-a**2 - 3*a**2 + 5*a**2)*(-3*a**3 + 3*a**3 - 2*a**3).\nAnswer: 99*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 0*i**4 - 1\/2340*i**6 - 40\/3*i**3 - 33 + 1\/130*i**5 + 0*i + 0*i**2. Let t(r) be the third derivative of f(r). Factor t(o).\nAnswer: -2*o*(o - 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ea25 (base 15) to base 2.\nAnswer: 100100110100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3308 + 3307 - 13239 + 3311 + 3313 - 14*j.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1755469218 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1011255*r**4 + 6*r**2 - 27*r + 564 wrt r?\nAnswer: 24270120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-26 + 0)*(-11 + (-2 + -6 - 0)) is divided by 489?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-183)\/1092 - ((-4)\/(-2))\/(-4). Let j = -5\/28 + x. Which is the nearest to 0.2? (a) j (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4346760 is divided by 235.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9406 and 196.8.\nAnswer: -1851100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -418, -839, -1256, -1669, -2078, -2483?\n\"Answer: 2*r**2 - 427*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90886?\nAnswer: 2, 29, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2850, 5836, 8816, 11790, 14758, 17720, 20676?\n\"Answer: -3*q**2 + 2995*q - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -124*u**4 - 4*u**2 + 347?\nAnswer: -496*u**3 - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1404799 * -0.4.\nAnswer: 561919.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**4*x**(1\/2)*x**(-2)\/(x**(-2\/23)\/x) assuming x is positive.\nAnswer: x**(-157\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 11 = 4*o + 2*r, -5*o + r + 14 = 0. Let i be 27\/6 - o\/2. Sort 5, i, -1 in descending order.\nAnswer: 5, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-1) + 0 + -1)\/(-1 + 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 8. Sort -13, t, -3\/4 in ascending order.\nAnswer: -13, -3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 22 - (5 - 4 - 11) - 29?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 11*i + 18. Let r be z(-10). Let o be 3\/r - 99\/72. Which is the closest to -2? (a) o (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 5*p + 9. What is a(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 162, 4, -3, 6, -4 in decreasing order.\nAnswer: 162, 6, 4, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.111 + 1.051. What is the closest to -1 in 2\/11, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(735) + sqrt(15))\/sqrt(5).\nAnswer: 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l*l**(3\/8)*l)\/l*l\/(l\/(l\/l**4)))\/(l**(2\/5)*l)**(-3\/20))**42)**(-44) assuming l is positive.\nAnswer: l**(19173\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 98 - -5 - (-18 + (20 - 25) - -32)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 683157027.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*z - 84 = 240*z. Let i = z + 86. What is the highest common divisor of 5 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + 18*s + 24. Determine m(14).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1230591*-0.4.\nAnswer: 492236.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Product of -93 and 1.5.\nAnswer: -139.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 74. Let s = n - -29. Solve z = -4 + s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*k + 527 - 7487 = 0 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/170 + (39 - 59310\/1530)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j + 10*j + 19*j - 10*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + 52235?\nAnswer: 52221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -186999 less than -11577286.84?\nAnswer: -11390287.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -414, -7, 5, -4 in increasing order.\nAnswer: -414, -7, -4, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 11*f - 10*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -98 (b) 5 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/110 + 1*(-2)\/45)\/(-1).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 44283180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/27 and -20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 667 - 664. Suppose 0 = 3*h - 1 - 2. Calculate the highest common factor of h and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 10 = -3*m - 3*w, m = -2*w + 6. Let s be m\/3 + (-623)\/(-3). Let p = -42316 - -42339. What is the greatest common factor of p and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2374\/3 - -9793\/12. Let m = 228\/31 - 9388\/1209. Let k = m - -2011\/624. What is the common denominator of k and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -495 - -1014. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1590)\/68 + (34 - 14500\/425))*2.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 532168 and 910?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3 - 6*k**2 + 992*k**3 + 2*k - 947*k**3 + 24*k**2 in the form v*k**2 + f*k + w*k**3 + a and give w.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 473, 2389, 5745, 10541, 16777?\nAnswer: 24453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9384294709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*2 - (-2)\/(-1). Let x(m) = 4*m + 4. Let p(h) = 3*h + 3. Let b(y) = 6*p(y) - 5*x(y). Let d be b(-2). Solve d*v = -0*v - k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 30. Solve -5*c + 15 = 2*b, -c = -p*b - 5 + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 3*r - 13. Suppose -8 = -2*t - 20. Let j be u(t). Find the second derivative of -3*z**3 + 3*z**3 + 23*z**j + z - 19*z**5 wrt z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1.4. What is the second smallest value in 1\/8, 0.3, w, 3\/4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -20. Let w be 3\/(-15) - ((-48)\/15 + 0). Let j be 4\/10*w\/(-6). Which is the closest to v? (a) j (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126 - 266650\nAnswer: -266776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 30\/25*(-15)\/42\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, e: 1, f: 1}. Give prob of picking 1 e and 2 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*q - 6670 + 2664 = 6576 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 5*j**9\/3024 - j**8\/336 + 10*j**3 - 136*j**2. Let u(o) be the first derivative of v(o). Factor u(n).\nAnswer: 5*n**4*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.836 - -792.836. Let a = -793.002 + k. Let x = a + 1. Round x to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (0 + 0 - 1). Let z = -125 + 172. What are the prime factors of ((-1 - -2) + l)*z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**4\/3 - 3115*c**3\/3 + 58875*c**2 + 107828875*c\/3 + 214926250\/3 = 0?\nAnswer: -145, -2, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u - 2*u + (2 - 5 + 4)*(-4*u + 5*u - 2*u) - 7*u - 6 + 6)*(308*u - 420 + 420).\nAnswer: -2772*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-2 + -1 + (0 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2590737.605 and -0.79.\nAnswer: 2590736.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 7*g**2 - 3*g - 10. Give z(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3606304547.00000022 - 3606304514. Let k = -32.953 - 0.047. Let q = k + c. Round q to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320334101 (base 5) to base 8.\nAnswer: 5070775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s. Let x(f) = -3*f. Let r = -6 - -9. Let p = r + 1. Let t(v) = p*x(v) - 5*d(v). Let l(a) = -a. What is l(t(w))?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 13639914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 625*w**3 + 5*w. Let b be p(4). What is b rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d**2 - 3*d - 20. Let t be r(2). Let k = -13\/2 - -7. Which is smaller: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, -0.01, -1, 2\/55057, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 9. Let j(g) = -g**3 + g**2 + g - 2. Let l be j(2). Let q be 63\/14 - (-2)\/l. Suppose -q*v + 3*m = -v + 15, -4*m + 20 = 0. What is k(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(7) + sqrt(7) + -5)*1)**2.\nAnswer: 20*sqrt(7) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6 - 7*t**2 + 3*t + 1 + 4*t**2 - t**3. Suppose -f + 32 - 40 = f. Determine p(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.48 rounded to the nearest integer?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z + 45. Let g be s(16). Suppose -g + 127 = -y. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-3) - (34\/6 + -5). Let t(o) = -2*o**3 - 3*o**2 - o + 6. Let s(p) = p**3 + 2*p**2 + p - 6. Determine k*t(l) - 6*s(l).\nAnswer: 2*l**3 - 2*l + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - -31?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -83*o**3 - 9*o**2 - 24*o + 284. Let k(j) = 41*j**3 + 4*j**2 + 11*j - 142. Let s(x) = -9*k(x) - 4*v(x). What is the first derivative of s(p) wrt p?\nAnswer: -111*p**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5033098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -158*q - 5. Let p(m) = 45*m + 28*m + 49*m - 120*m. Calculate s(p(a)).\nAnswer: -316*a - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 1:35 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.203 - -0.503. Which is the third biggest value? (a) 1\/2 (b) h (c) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - 100. Let q = t - -109. Put -7, q, -2 in decreasing order.\nAnswer: q, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 10788785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n + 7*n + 256*n**3 + 3*n + 2*n - 4*n.\nAnswer: 256*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -14 + 0 + 0 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/15))**(-4\/5)\/(t**(-7)\/t*t*t)**(-23\/2) assuming t is positive.\nAnswer: t**(-5191\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -4. Let o be 0\/(-3) + (-1 - -1). Let k = o + t. Solve k = -2*j - 0*j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -6142460, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 57203559 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -599665, -1199205, -1798745, -2398285, -2997825, -3597365?\nAnswer: -4196905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 534850361 to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -89. Let x(m) = -17*m + 469. What is the smallest common multiple of x(27) and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.048 + 2.048. Which is bigger: -20.4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15964762 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in -4, 3, -1, 1\/16, 17?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -51, 70, 453, 1218, 2485, 4374, 7005?\nAnswer: 10498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 377*y**2 - 33*y**2 + 112*y - 56*y**2 wrt y?\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26.307*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 5.9943. What is i rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23665000 to the nearest one hundred thousand.\nAnswer: 23700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m - 3623046 + 3*m + 3623052.\nAnswer: -m + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42 + -22 - 14) + -44 + -10 + (-4 - -3).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 390 and 15.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -605 + 2146 = -130*b - 539 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/15 - 74991992*w\/3 + 3514874290080040\/3.\nAnswer: 2*(w - 93739990)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/2178 and 53\/3133174.\nAnswer: 28198566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*z**2 - 15914*z - 66838 wrt z?\nAnswer: 8*z - 15914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*o - 660 = -323*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -8, -30.\nAnswer: -30, -8, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520768*w**2 + 130183*w**2 - 4*w + 130197*w**2 + 130192*w**2 + 4*w + 130201*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 343 and 27587?\nAnswer: 193109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**20\/f))\/f*f*(f*f**(-1\/23))\/f*f\/f**(-4\/3)*(f*f**(-6\/5))\/f assuming f is positive.\nAnswer: f**(-5489\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o + 0*o - 69 - 11*o.\nAnswer: -o - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11688?\nAnswer: 2, 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101 and 4141?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b - 8. Let r = 9 - -6. What are the prime factors of x(r)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.8 + -5.8. Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5\/(-10) + ((-10070)\/(-4))\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1409*w**3 + 1170*w**2 + 2725*w**3 - 1315*w**3.\nAnswer: w**3 + 1170*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.034 * 2699.4\nAnswer: -91.7796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -153 + 391 - (-78)\/(-3). Calculate the greatest common factor of c and 8003.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*q = 30, 93 = 5*t - 5*q + 8. Calculate the lowest common multiple of t and 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.54 - 22.54. Let b = d + 23. Is b less than 11\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5148 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n. Suppose 4*m = -4*g - n + 4, 5*m - g = 11. Suppose -75 = 5*h - 90. Solve 5*x - 10 = 5*s, -m = -4*x + 5*s + h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 204 - 11753?\nAnswer: -11547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = i + 3*i. Solve -i*k = 3*k + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 5:48 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 6*d**2 - 447*d - 152. What is the derivative of z(n) wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*w - 795 = -105*w. Solve -50 = v - w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534966 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: Suppose -8*m + 3*m + 4096 = -4*c, 4*m + 16 = 0. Let n = c + 1530. What is the remainder when n is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r + 24762291 = 21*r + 4792602. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.114 - 27.014. What is the closest to -1 in 0.3, l, -288?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 6:05 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/13 - 61172*z\/13 - 467751698\/13.\nAnswer: -2*(z + 15293)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 115*x - 107*x - 272. Calculate the greatest common factor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(180)*-3)**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3312295 divided by 32795?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 3. Let g be 3\/(-9) - (-7)\/3. Calculate the highest common divisor of g and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171274 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32108, 125105, 280094, 497075, 776048, 1117013?\nAnswer: 1519970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.45.\nAnswer: 0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-9)\/(-4)*(8 + 4) and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-2))\/((-4)\/8). Suppose -55*o + 1743 = -48*o. Suppose -y*g - l + 554 = 0, 121 = 2*g + l - o. Does 23 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -19*s - 2. Let z be b(-4). Suppose 3*d = d - 5*w + z, -2*w = -4*d + 196. Let j = 90 - d. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 2704?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3516779029 - -9311\nAnswer: -3516769718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 1 + 0 + 35*g**2 - 30*g**2. Let c(m) = 6*m**2 + 2*m + 1. What is 4*c(q) - 5*r(q)?\nAnswer: -q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/430 and -53\/387?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21001110010 (base 4) in base 2?\nAnswer: 1001000001010100000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8236 rounded to the nearest one hundred?\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88295 (base 11) to base 7.\nAnswer: 1042351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/3)*o)**(5\/13)\/((o*o**(2\/5)*o)\/(o\/o**1))*((o**(-6)\/o)\/o*o\/o**(-3)*o)**(-48) assuming o is positive.\nAnswer: o**(27812\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.718169ml in litres?\nAnswer: 0.002718169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -4?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3 - 1550582*g**2 - 9303449*g + 10854032 = 0.\nAnswer: -1550576, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 583 = -l, 4*l - 70*t - 2329 = -67*t. What is the second biggest value in -1\/4, 3\/4, l?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011 plus -1291565?\nAnswer: -1291564.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -530 - -520. Let f = -11 - i. What is the nearest to f in 0, -5, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4, 25, 56, 103, 172?\n\"Answer: o**3 - o**2 + 17*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 - -0.21. Let g = -1.217 + b. Round g to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6750*j = -6723*j - 10152. Calculate the remainder when j is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 352 - 373. What is the hundreds digit of ((-2114)\/o)\/((20\/(-4))\/(-45))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11904547617 rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 18. Let g(j) = -j**2 - j. Let b(s) = 7*s**2 + 11*s + 9. Let t(y) = b(y) + 6*g(y). Let r be t(-4). Solve o*f + k + 10 = r*k, f = 3*k - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 417\/(-22) + 1 + (5 - (6 + -7)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 319452 and 4.\nAnswer: 319452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -2\/15 (c) 611\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1 + 1\/((-2)\/(-6)). Suppose -s - q*s = 5*j - 13, s + j = 2. Let z(l) = -10*l - 3. What are the prime factors of z(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 94*d - 692. Calculate q(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:59 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -39.03. Let s = -3.002 + 3. Let k = t - s. What is k rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 14*x - 38. Determine q(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 + 81.7. Which is the closest to -0.3? (a) 1\/6 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/576)\/((-2)\/(-18))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 27 - 18 - 74*a + 1 as g + o*a and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 3921*o + 182487. Calculate d(46).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 270289415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000474 rounded to 5 decimal places?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-1 + (sqrt(32) - sqrt(192)\/sqrt(6)))*-5 + -5.\nAnswer: -5 + 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -60*r + 2*r**2 + 60*r. Let s be q(-2). Solve 5*u + 4*h - 16 = 0, 2*h - s = 2*u - 0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c**2 - 18. Let g(w) = -w - 71 + 26 + 37. Let k be g(2). Let f(r) = -2*r**2 + 6. Let i(y) = k*f(y) - 3*b(y). Differentiate i(x) with respect to x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 3*s + 2. Let i be d(-3). Suppose i*r - 16 = -2*r. Suppose -r*h + 70 = 5*x + h, 2*h + 67 = 3*x. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 7. Let p be c(7). Suppose -5*g + 12 - 2 = p. Suppose 0 = -3*n - y + 35999997, -g*n = -2*y - 28385016 + 4385010. Round n to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/92 and 49\/2892342.\nAnswer: 5784684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 264198527?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -923 + 183*r - 921 - 4125*r + 1844 to u + l*r and give l.\nAnswer: -3942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -11*x - 115. Let z = -5417 - -5407. What is t(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*3 - (-5 - -5). Suppose -6*w + w + 55 = 0. List the prime factors of w\/(-1)*(d - -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -12, -6, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 6*w - w)*(-11203*w - 2*w**2 + 0*w**2 + 10513*w + 4*w**3) to the form g + q*w + r*w**3 + l*w**4 + d*w**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 63?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - 22. What is the remainder when f is divided by (-1150)\/(-90) + (-8)\/(-36)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24639 is divided by 1875.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 + 4*j**3 - 1 + j**2 + 210*j - 210*j as p*j**2 + m*j**3 + z + u*j and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 304*u - 1. Let g(q) = 303*q - 1. Let d(l) = 2*g(l) - 3*i(l). What are the prime factors of d(-1)?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 3*a + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1620 and 32312.\nAnswer: 13086360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*d = 27, 2*d + 1 = d. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 + 106. Suppose 2*k - a = 3*a, 0 = 4*k - 5*a - l. Suppose x = -0*o + 3*o - 262, -k*o - 5*x + 381 = 0. List the prime factors of o.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41847228 to the power of 1\/2, to the nearest integer?\nAnswer: 6469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 269874 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -965*c - 1451. Calculate q(2).\nAnswer: -3381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3743\/69239 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/21 + 172*c\/21 + 3698\/21.\nAnswer: 2*(c + 43)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -2 (b) -1\/5 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*l**3 + 39*l**3 + 80 - 80.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3306)\/228*((-888)\/447 + 2). Is r >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1242001 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.167 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(5 - 3)*15. Let b = 40 + -20. Calculate the remainder when b is divided by 14*(o\/6)\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861105 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*g - 2*g + 4*z, -3*g - z - 9 = 0. Let t(d) = 6*d. Let s(n) = 5*n. What is g*t(m) + 2*s(m)?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 15, 0*h - 2*h - 3*z = 13983. Let t = h - -55909\/8. What is the common denominator of t and (-276)\/54*(-1)\/(-4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 10, 2*p + 8 = -0*p + 3*k. Which is smaller: -3\/16 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 2*n - 1. Let s be m(2). Let r be 0\/s - 2\/(-8). Which is the closest to -1? (a) r (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from kdzdfddkdkzd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1088 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38740671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 408743, 408743, 408741, 408737?\n\"Answer: -k**2 + 3*k + 408741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one fifths of a meter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1165.6, 1, 4\/5, -52, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - p. Let h(g) be the third derivative of -g**5\/15 - g**4\/3 + g**3\/6 - 24*g**2. Give h(m) - 6*k(m).\nAnswer: 2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -419, -3, 2, -2 in increasing order.\nAnswer: -419, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 3804046?\nAnswer: 760809.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1482.311 less than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6450200*t - 48655629 wrt t.\nAnswer: 6450200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-40)\/(-4) - 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*((-105)\/49 + 1). Which is the third biggest value? (a) -0.5 (b) -0.9 (c) -1 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 25. Does 9 divide (-187)\/n + (52\/16 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/126 and -4*1 - 917\/560*-4.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(11) + (-3*sqrt(11)*-1)**2)) + sqrt(33)\/(sqrt(18)\/sqrt(6)) - (sqrt(176)\/sqrt(4) - (sqrt(176) + -1))**2.\nAnswer: -144 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 - 29ae5?\nAnswer: -29afc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**5 + 114*m**4 - 972*m**3 + 2262*m**2 - 2049*m + 648 = 0.\nAnswer: 1, 8, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*n - 238*n + 96*n + 71*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxl when three letters picked without replacement from {v: 10, l: 6, x: 1, u: 1, r: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 401805227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 6:59 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2378\/168 + (-32)\/(-336) and -47\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103506?\nAnswer: 2, 3, 13, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = 3*n. Suppose 5*b + 20 = -6*g + 2*g, n*g + 4*b = -16. Let i = -45\/44 - -3\/11. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 15231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**2. Let r(w) = 5172*w**2. Determine d(r(i)).\nAnswer: 106998336*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.81 + 1.19. Which is the nearest to t? (a) 4 (b) 2\/5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 16*x**2 + 2*x - 2. Let y(z) = 17*z**2 + 3*z - 3. Let d(m) = -3*j(m) + 2*y(m). Let t(v) = 0*v - 13*v + 0*v + v + 2*v. Give t(d(p)).\nAnswer: 140*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/9)\/(-2 - (-44)\/21). Suppose 3*j - 15 = -2*y, 5*j + 2*y - c*y = 0. What is the remainder when 54 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-31 - -37) - -13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4))**(-4\/7)\/(q*q**(5\/4)*q**(-3\/8)))**3 assuming q is positive.\nAnswer: q**(-339\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5011? (a) 6\/13 (b) 1.1 (c) -7 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32761 = -4*i - 3*k, 0*i - 5*i + k + 40956 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 4*v**3 + 0*v + 5*v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -10. Let m = -1 + -3. Let n = m + i. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 644\/72*(-50)\/(-70) and 53\/78?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.197 * 699309.\nAnswer: -137763.873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*221558997\nAnswer: -4431179.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 38. Suppose 4*b = 5*p - 52, -b - 2*b - 9 = 0. Let u be (p\/(-10))\/((-1)\/5). Put u, 5, h in decreasing order.\nAnswer: 5, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1085 and 23219.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 8*r**2 - r + 9. Let x be g(8). Let a be x + (-10)\/8 - 7619\/(-76). Let d = -62 + a. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(187)*-5*-1)\/(sqrt(55)\/(sqrt(5) - (sqrt(5) - sqrt(80) - sqrt(5))) + sqrt(11) - sqrt(44)*-1)*-2)**2*-6.\nAnswer: -31875\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.028 + 0.028. Let g = 27.1 + z. Let w = 0.44 - 0.04. Which is bigger: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*s = -47*s + 4. Sort 0, 2, s in descending order.\nAnswer: 2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -165? (a) -4 (b) -204 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1716225 and 294?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**1\/s))**(-10\/13)\/(s**0)**30*((s**(2\/5)\/s)\/s*s**(-3\/7))\/(s**(1\/5)*s*s**(4\/9)) assuming s is positive.\nAnswer: s**(-18191\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*m + 11 + 7, -5*m + 9 = d. Let a be (-7 + 1)\/(d\/4). Solve 0 = a*v + 10 - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -0.5 (c) -1\/4 (d) -4 (e) -50 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -4339738 and 1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 9:13 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 1 f when three letters picked without replacement from xvefs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4560\/(-128) + (-2)\/((32\/(-3))\/(-2)). Which is bigger: -96 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10, 9, 16, 37, 78, 145, 244?\n\"Answer: i**3 - 2*i**2 - 2*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11283683*m**4 - 11535*m**2 - 40*m?\nAnswer: -270808392*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3407*r**2 - 41*r + 3407*r**2 - 6815*r**2 + 19*r + 22*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 5:50 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000 rounded to the nearest one hundred?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 163394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 29 + 12 = 3*y, -2*y = 5*t + 93. Let j = 32 + t. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271205374?\nAnswer: 2, 11, 23, 71, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2 + 2 = 0. Calculate the remainder when 9 is divided by d - (3 + -8 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3314, 3312, 3308, 3302?\nAnswer: 3294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*k - 16*k + 2*k)*(2*k - 4*k + 5*k + (3 - 3 + k)*(-3 - 2 + 3)) + (4 - 1 - 1)*(3*k**2 - 13*k**2 - 4*k**2).\nAnswer: -58*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -677604, -1355208, -2032812, -2710416, -3388020?\n\"Answer: -677604*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/18 and -68\/2439?\nAnswer: 4878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzqquiiuz. Give prob of picking 2 i and 1 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 131824 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133601 (base 10) to base 4.\nAnswer: -200213201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42*z + 78*z**3 + 4 - 23*z**3 - 55*z**3 - 2*z**4 with respect to z.\nAnswer: -8*z**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 19*x + 74. Let f be b(-5). Let c = f + 33. Solve 0 = -4*s - c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*g**2 - 74*g**2 - 61*g**2 - 61*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.688 - -5.718. What is g rounded to 1 dp?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (12 - -17) - (-1 + -4).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -5, -0.8, 0.31?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -1, -0.4, 0.03, -0.73?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-286)\/(-52))\/((-2)\/(-4)). Solve z - 7 = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 10703400*j + 14320346445000.\nAnswer: 2*(j - 2675850)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 19. Suppose -2*s + 11 = -3*d, -o*s - 4*d + 8 = -0. Let z be -2 + (12\/(-14))\/(22\/(-77)). Sort s, z, -5 in ascending order.\nAnswer: -5, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 18*j**2 + 4*j + 4. Let m(r) = -24*r**2 - 35 - 52*r**2 - 35*r - 43*r**2 - 42*r**2. Give -4*m(f) - 35*u(f).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (52*((-16)\/10 + 6))\/(4\/160).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*w - 24. Let y be (-4)\/1 + (-145)\/w. Solve -y = 4*r + r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 79827 = -5*j + 4702, 0 = 2*j - 12. Is c a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - w**2 + 1)*(0 + 1 - 3)*(12*w - 16*w + 11*w).\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l = -l + 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z - 2*z - 2*z + 2 - 6*z**2 in the form m*z**2 + n*z + s and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -459.535 - 20.87\nAnswer: -480.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-163 - -49) + 61 - -66.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18739?\nAnswer: 7, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8337820?\nAnswer: 2, 5, 17, 137, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 417 + 1026 - 13*g + 695*g + 521*g with respect to g.\nAnswer: 1203","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 46\/11*h + 2\/11*h**2 - 48\/11 = 0.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 3*m + 15 = -4*t, -5*t = m - 25. Let j be t - 496\/10 - 2\/5. Let a = j - -48. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3224 + -82.6776. Is -0.11 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -234 + 235. Let k(t) = 15*t - 5. Calculate k(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 3*y + 1. Let z(c) = c - 7. Let l be (-6)\/(-3) + 9 + -1. Let q be z(l). Let h be (1 - 1)\/1 + q. Determine s(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 e, and 1 i when four letters picked without replacement from {i: 2, e: 2, a: 1, v: 5, q: 1, c: 2}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 12) to base 4.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 2*v**3 + 0*v**3 - 10 - 4*v**4 + 4*v**4 - 9*v**4 in the form y*v**2 + m + b*v**3 + a*v**4 + p*v and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -17*h - 233. Let b(z) = 18*z + 225. Let a(t) = 3*b(t) + 2*u(t). Calculate a(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126 + -111. What is the greatest common divisor of q and 570?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 4*p + 3*x + 6, 4*p + 20 = -2*x. Let k be ((-40)\/(-8))\/(-10) - 39\/10. Which is smaller: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(80))\/sqrt(8) + 1*sqrt(30)\/sqrt(3))\/(sqrt(2) + sqrt(2) + (sqrt(2) + (sqrt(2) - sqrt(2)*3) + sqrt(2))*1 - -2*sqrt(242)).\nAnswer: -sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.85 + -0.35. What is the third smallest value in -0.2, 2\/7, -5, i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 53*n - 48*n. Let f(x) = x**3 + 35*x**2 - 49*x - 51. Does 11 divide f(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 16 - (20 + -11 + -6 - -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*f**2 + 1)*(2 + 0 + 2)*(-2 + 4 - 1)*(0*f + f - 3*f) in the form i + r*f**3 + p*f + w*f**2 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 112 + 5?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 309687887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*d - 223 - 321, 3*d + 408 = 3*y. Calculate the lowest common multiple of 48 and y.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7))**(-46)\/((n\/n**(-8\/7)*n)\/n*n*n\/(n**0\/n)) assuming n is positive.\nAnswer: n**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -4. Let f = 0.04 + 0.36. Let m = 0.9 - f. Which is the third biggest value? (a) m (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2 = -3*v, -6 = -4*v - 2*c + 6. Suppose 4*u + 692 = v*w, 4*w - 3*u - 724 = -7*u. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 + -1.85. Let p = -3 - -6. Let x = -3 + 4. What is the biggest value in s, p, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqxmmpgxgnmn. What is prob of picking 1 n and 1 x?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of (-1)\/(504\/507 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 1 + 3*r - 4*r)*(-119 - 503 - 256).\nAnswer: 878*r - 878","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**3 + 607191*r**2 - 30722498400*r - 92172960000 = 0?\nAnswer: -3, 101200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 78562463009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16765\/173 - 80967857\/835590. Calculate the common denominator of 89\/12 and v.\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5578139m to kilometers.\nAnswer: 0.0005578139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -461\/10. Suppose -2*h = -11*h + 36. Find the common denominator of ((-2)\/2)\/(1\/69*h) and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - k**2 - 2*k**2)*(2*k**3 - 4 + 4) + 25 - 25 + 6*k**5 - 55*k**5 - 29*k**2 + 29*k**2.\nAnswer: -51*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-49))\/((-90)\/(-63))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4449 (base 10) in base 5?\nAnswer: -120244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579.531 + 141672.15?\nAnswer: 143251.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/705242 and 65\/4.\nAnswer: 1410484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 9052 - 27812 = 5*s, 0 = -4*u + 5*s + 37540. Suppose -2250 - u = -12*z. Round z to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -a + 4*m, 3*a - a + 15 = 5*m. Is 13 a factor of (104\/a)\/((8\/(-4))\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3213)\/2142)\/((-270)\/(-8))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5 + 146*d**2 - 1 - 130*d**2 + 0 + 14*d**4 in the form o + s*d + a*d**3 + h*d**2 + y*d**4 and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y + 7 = 0. Let o(u) = -u**2 + 9*u - 7. List the prime factors of o(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -23 + -24 + 11\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*q + 3*m = -1036, 0 = -5*q - 5*m + 239 - 169 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 27*w**2 + 19*w - 53. What are the prime factors of l(-26)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -8 - 1\/4*s**4 + s**2 - 2\/3*s**3 + 0*s. Let h(o) = o**3 + 3*o**2 - 3*o - 1. Calculate -2*h(l) - 3*p(l).\nAnswer: l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 286*i + 1882. Let p(t) = -48*t - 1. Calculate -d(o) - 6*p(o).\nAnswer: 2*o - 1876","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**6\/240 - y**5\/240 + y**3\/6 + 2*y**2. Let o(h) be the first derivative of k(h). Factor o(d).\nAnswer: d*(3*d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (500\/(-25))\/(11540\/(-52507)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9.9 or 1?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 6*v - 103. Let r be y(-15). Solve 160*j - 152*j - r = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014726755 to four dps.\nAnswer: -0.0147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 3:58 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -33. Let q = 3 + -1. Let g be (-97)\/(-1) - (q + -1). Calculate the highest common factor of g and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 55?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -437, -3406, -11347, -26708, -51937, -89482?\n\"Answer: -408*j**3 - 38*j**2 + j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(98) + 1 + 3*(sqrt(98)*-3 - sqrt(98)) - ((sqrt(98)*-2 + 4 - sqrt(98) - 4*(0 + sqrt(98))) + -3))**2.\nAnswer: -168*sqrt(2) + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-24)*-33*2\/4\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/189)\/((-1)\/(-5))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*m = 3*f - 1115, -f = -4*m - 223. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 9:43 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 30*d. Which is the closest to 2\/7? (a) -2\/17 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91859594.4ns to weeks.\nAnswer: 0.00000015188425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6867382 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -911824695*l**3 - 2*l**2 + 32387*l - 789 wrt l.\nAnswer: -5470948170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b**3 + 10*b**2 - 3*b - 32. Let n(c) = -5*c**3 - 5*c**2 + 2*c + 16. What is -5*n(l) - 3*y(l)?\nAnswer: -2*l**3 - 5*l**2 - l + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gag when three letters picked without replacement from {f: 1, a: 1, k: 1, g: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -415, -1665, -3751, -6673, -10431, -15025?\n\"Answer: -418*q**2 + 4*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 10:09 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 + 56*o - 18. Let d be j(-19). Let r(b) = -106*b**2 + 2*b - 1. Let z be r(d). Does z = -106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 23*u + 20 = 0. Let d(k) = -k**2 - 25*k + 23. Let m be d(-26). Which is the nearest to -2\/9? (a) m (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 48 = 3*v. Let s(k) = 15*k**2 + 3*k. What is the least common multiple of s(-1) and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/28*(-12)\/(-15)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311117 is divided by 2807.\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 522978 to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/22)*q)**(-36)*((q\/(q\/((q*q**(-1)\/q)\/q)))\/q)**2)**(-38) assuming q is positive.\nAnswer: q**(33288\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 66772a64 - -1?\nAnswer: 66772a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 26*o - 33*o. Suppose t = 2*w - 3, -w - 4*t + 2*t = -14. Solve -4*k = 5*v + 40, -o*v = -w*k + 2*v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 + 2.17. Let l = 0.23 + o. Let i = 2 + -2. Which is the nearest to i? (a) l (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 6:47 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7024 and 0.3?\nAnswer: 2107.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z + 1 - 6*z)*(2*z + z - z)*(1 - 3 + 3).\nAnswer: -14*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.529842 to two dps.\nAnswer: -2.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67 - -60. Let f = 8.4 - x. Let o = -15 + f. Which is the third smallest value? (a) 1 (b) -0.5 (c) o (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h + 17. Let a be n(15). Suppose 4*x = a + 1030. Suppose x = 7*b - 168. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2 - 4 + 2 + 2*s + 0. Let u be p(3). Suppose -u*n + 3*k = -15 - 5, -n - k + 5 = 0. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**4\/12 - 2*u**3\/15 - u**2\/10 - 66*u + 12. Let b(a) be the first derivative of j(a). Factor b(m).\nAnswer: (m - 1)*(5*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*y = -72*y - 110*y + 254 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/30 and -79\/690.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)\/(q**(-2\/15)*q))\/(q\/q**(1\/2))**(43\/4)*((q**(-3)*q)\/(q\/((q\/((q*q\/((q\/(q\/((q**13\/q)\/q)))\/q*q)*q)\/q)*q)\/q)))**(-39) assuming q is positive.\nAnswer: q**(-34229\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/7 - 19064*c\/7 + 1277856\/7.\nAnswer: 4*(c - 4698)*(c - 68)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 1313*n**4\/12 - 11*n**3\/2 - 29*n**2\/2 - 599*n. Find the second derivative of h(c) wrt c.\nAnswer: 2626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.715146640216 + -31.\nAnswer: -33.715146640216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30, -63, -96, -129, -162?\n\"Answer: -33*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32244449.\nAnswer: 97, 332417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lggyylyyhygly. What is prob of picking 1 h and 3 l?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1839 is divided by 466?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -59?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 15*h - 6. Let b be n(16). Let j be (4\/b)\/((-72)\/405). Let o(i) = i**3 + 3*i**2 + 2*i + 4. Let p be o(-3). Are j and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/8 and 79\/1784.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y + 72. What is the highest common factor of y and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162266 is divided by 53824?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189556376?\nAnswer: 2, 23694547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)*-3 - sqrt(10))\/(-4*sqrt(2)*3).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7379645475?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q + 3*q)*(152 + 4*q - 14*q - 150)*(-3*q**2 - 4*q**2 + 5*q**2).\nAnswer: 40*q**4 - 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*z + 2*a - 12, -2*a - 3 = z. Suppose -2309 - 309 = -z*i - 4*g, -g = -4*i + 2107. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by 18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*u + 164*u = -157*u + 7641 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/18)\/((-1)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20022 - -10?\nAnswer: 20102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5625725 rounded to two dps?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61757\/26 - 2374. Find the common denominator of 35\/169 and r.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16324, -2, -4, 1, 3, -23.\nAnswer: -23, -4, -2, 1, 3, 16324","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12352793 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46608*f*z**3 + 42293*z**3 - 3*z**2 - 2*z wrt f?\nAnswer: 46608*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -26756 - 26750 - 4*b**2 + 53510 + 3*b**3. Let s(o) = o**2 + 5*o - 4. Let j be s(-5). Let d(t) = 3*t**3 - 3*t**2 + 3. What is j*d(g) + 3*l(g)?\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000012150337 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-6) + (-3016)\/(-78)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 12*z + 31. What is the remainder when 61 is divided by t(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 77842 - -2437?\nAnswer: 7a079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by 161.\nAnswer: 48\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/21 (b) -3 (c) -22\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 674760\/47 - 86127577\/6204. Let m = 474 - q. Let s = 301\/528 + m. Calculate the common denominator of 119\/6 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 86, 111, 136, 155?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409 = 69*w + 364 - 290 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0 - -1) + 6 + -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147.560476 rounded to the nearest integer?\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1895211 or 1895209?\nAnswer: 1895211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 75.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5011713.\nAnswer: 3, 7, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1385, -5951, -13601, -24341, -38177, -55115, -75161, -98321?\n\"Answer: -s**3 - 1536*s**2 + 49*s + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7104.92 - -7105. Which is the closest to -0.07? (a) m (b) 5 (c) 1\/8 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3. Let b be 2 + (-2)\/(6\/9). Let k be 1\/2*b\/2. What is the biggest value in -0.1, s, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -5. Suppose 3*y - 2*f = 73, 7*y - 4*y - f - 71 = 0. Let a = -21 + y. What is the least common multiple of x and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -1\/10*n**6 + 1\/2*n**3 + 0*n**2 - 3*n + 1\/4*n**4 - 3\/20*n**5 + 0. Factor g(c).\nAnswer: -3*c*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w. Let l(x) = 6*x**2 + 25*x**2 + 30*x**2 + 0*x**2. Give l(i(h)).\nAnswer: 549*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71010259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 54 = 49. Is -188 - -845 - (-5 + 0)\/m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 2394\/(-7))*1. Let z = t + 351. Calculate the greatest common factor of 70 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841290937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29531, 59066, 88601, 118136, 147671?\n\"Answer: 29535*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.150385ng in micrograms?\nAnswer: 0.009150385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 550 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 - -98. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -14082017?\nAnswer: -1\/14082017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**2 + 46725*q + 105553030 = 0?\nAnswer: -5522, -3823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, -0.3, 2\/13, 1.\nAnswer: -8\/5, -0.3, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -1 + 4 + -1. Suppose 0 = -4*l + 2*r + 44, 38 = 5*l - l - 5*r. Suppose -u - j = -l. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + 41 - (1219 + -1183)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -55*m - 933. Let o be a(-17). Solve o*v - 23 = -23 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t. Let c(b) be the third derivative of 0*b + 0 - 1\/12*b**4 + 4*b**2 + 0*b**3. What is m(c(v))?\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-43 + -1 + 0 - (98 + -99)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-34\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 26. Suppose 336 = m*x - 3*x. 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: Suppose 4*s - 204 = -4*o, 2*s + 3*o - 97 = -0*s. Let i = -350 - -602. Calculate the greatest common factor of s and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, p: 9}. Give prob of picking 1 n and 1 p.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from rrszjlb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-17) - 441\/(-153). Suppose -8 = c - 0*p - 5*p, -24 = i*c + p. List the prime factors of 2*4*(828\/c)\/(-9).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55675 = 4398350\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.43 in 1\/2, -0.5, 2\/3, -2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8119*w - 10188*w + 0 + 0.\nAnswer: -18307*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -363, -804, -1407, -2166, -3075, -4128?\nAnswer: -5319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4135304.9552 + 1899\nAnswer: -4133405.9552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (773*p**5 + 951403*p**3 - 951403*p**3 + (2*p**3 - 4*p**3 + p**3)*(0*p + 0*p - 2*p**2))*(5 - 4 + 6).\nAnswer: 5425*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -22. Let h(v) = -v + 15. Let f be h(8). Let i(z) = 5*z - 6. Calculate the remainder when i(f) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*2*(6*sqrt(160) - sqrt(10))\/sqrt(2)*-1)**2.\nAnswer: 3427920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + -114130?\nAnswer: -114138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 + 2*m**2 - 3*m**2 + (-11*m - 1237 + 1237)*(-5*m + 4*m + 4*m) as n*m**2 + d + z*m and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u + 3*u)*(5 + 0 - 4) - 126 + 427 - 124 - 177 + 5561*u.\nAnswer: 5563*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6482.000003861 - 6482. Round d to 7 decimal places.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u + u + u + (0 - 4 + 5)*(2*u + 5 - 5) + 2*u + 0*u - u + (u - 3*u + 0*u)*(-6 + 0 + 3).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13\/5 (b) 1\/19 (c) -0.3012\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 29. Suppose -t + 37 = -i. What are the prime factors of t?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1366774 (base 10) to base 16.\nAnswer: -14daf6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2358 - 2357. Which is the nearest to 1? (a) g (b) -0.5 (c) 0.633 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*l**5 + 2*l**4 + 118*l**3 + 41*l**2 - 73*l wrt l?\nAnswer: -1140*l**2 + 48*l + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.446808813 to three decimal places.\nAnswer: -0.447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 332777 - -7?\nAnswer: 332783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/24 + -3)*11\/(495\/(-20))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - -488?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.142*2497.9\nAnswer: 354.7018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -752220 divided by -995?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 3 (b) -0.1 (c) 4\/9 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -270 less than -25577.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211, -232, -333, -568, -991, -1656, -2617, -3928?\nAnswer: -5643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1824, -4690, -7556?\n\"Answer: -2866*h + 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1838.88 - 280.98. Let s = -1409 + w. What is s rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17)\/(-2)*(2 - (2 - 2)). Let x(j) = -5*j**3 + 5*j**2 + 6. Let n(w) = 14*w**3 - 14*w**2 - 17. Determine c*x(g) + 6*n(g).\nAnswer: -g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*h + 6, -4*h + 3 = 65*s - 60*s. Calculate the lowest common multiple of 168 and s.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 0.01, 2\/11, -0.1059, -68.4?\nAnswer: -68.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dddddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 217732772 + -5?\nAnswer: 217732765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 92926 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1534*m**5 - 25*m - 3*m - 8*m + 1541*m**5 - 30*m - m**4 wrt m.\nAnswer: 140*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8\/21 + -11\/84. Suppose 0 = 4*u - 16, 3*d = -4*u - 40 - 16. Let b be d\/108 + 2\/9. Is s < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 + 53*b**2 + 4. Let g(w) be the first derivative of -w**4\/4 - 9*w**3 - 2*w - 8335. Calculate 5*g(u) + 2*m(u).\nAnswer: -u**3 - 29*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**2 - 854820*v + 36535861620 = 0. Calculate v.\nAnswer: 85482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -440, -879, -1318, -1757, -2196?\n\"Answer: -439*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - (2 + 7) - (-1 - -1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 261 = 120*r - 592 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7 + d**3 - d - 5 - 7*d**2 + 13 + 0*d. Give p(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -0.0193442944.\nAnswer: -1.0193442944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17080 and 14970620.\nAnswer: 29941240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 + 308. Does 31 divide (-40)\/(-8) + w + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/6 + 2747*h\/3 - 21944\/3 = 0. What is h?\nAnswer: 8, 5486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -66609.41 and -4?\nAnswer: 66605.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/1183 - -43738\/13013. What is the common denominator of -17\/5 and l?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5784408 and 966.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 q when four letters picked without replacement from {q: 11, m: 7, f: 1}?\nAnswer: 385\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17848188 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.35068 millennia in centuries?\nAnswer: 403.5068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 121*s. Let a(q) = -13*q**2 + 18. Let x(f) = 11*f**2 - 15. Let u(l) = 5*a(l) + 6*x(l). What is w(u(h))?\nAnswer: 121*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzhzzzzzzzzz. What is prob of sequence zz?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-3 - -10) + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -27. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 2. Let f be y(-5). Suppose f*x + 1 = 2*w, x - 13 = -0*x - 2*w. Let p(s) = s**3 + 4*s**2 - s - 4. Let z be p(-4). Solve -l = -x - z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*d**2*n**4 - 1512*d**2*n**2 + d**2*n - 2*d**2 - 7*d*n - 38*d + 20 wrt n?\nAnswer: -864*d**2*n**2 - 3024*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1469*x - 9753 + 9753 to the form a + w*x and give w.\nAnswer: -1469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 356352 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1650)\/(-440) - (-210)\/(-72)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1252*f**3 + 8*f**2 + 7*f - 2. Let a be n(-1). Calculate the greatest common factor of 27 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/11 - 7\/(308\/120)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 460, 469, 490, 529, 592, 685?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 199422?\nAnswer: 797688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46798 is divided by 11696?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**5\/15 + 178*b**2. Let k(f) = 6*f**2 + 7*f. Let y(l) = l**2 + l. Let h(g) = 4*k(g) - 28*y(g). Give w(h(m)).\nAnswer: -64*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*b**3 - 77 - 4*b**3 - 15*b**3 - 24*b**2 + 48*b**3 - 7*b**3 in the form i*b + m + z*b**2 + t*b**3 and give m.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-2)\/((-10)\/985). Let p = v + -99. Suppose 5*b = -2*u + p, -5*b = -4*u + 3*u - 115. Calculate the remainder when 85 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256 and 32?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 10) to base 14\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -33 + 34 + -14 + (10 - (-2 - -4)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -79124 divided by -524?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.4, -4, 3 in ascending order.\nAnswer: -5, -4, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*c - 792, a - 1 + 4 = 0. List the prime factors of c.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 2. Let l be q(2). Let t = -427 - -275. Let x = -173 - t. Which is bigger: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(2\/2)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27870?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 363 + 22. List the prime factors of c.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - -35. Let g be (t\/(-20))\/(2\/60). Which is smaller: 14 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5.5 or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -55*l - 33. Let w(i) = 4*i + 1. Let z(h) = 9*h. Let f(g) = 4*w(g) - z(g). Give -33*f(x) - 4*p(x).\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + g + 2 + (-3 - 1 + 5)*(0*g - 2*g - g) - 4*g + 5*g + 2*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116 + -101. What is the least common multiple of 3 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*u - 4, u - 4*u - h = -14. Suppose 2*d = -b + 12, 0*d + u*b + 8 = 5*d. Solve -7 + 12*k**2 + 44*k + 9 + 11 + 11 - 12*k**3 - d*k**4 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 597441482?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 + 9*o + 1. Let c be q(-26). Let a = c - 941. List the prime factors of a.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -20. Which is the smallest value? (a) -2\/7 (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 6 - (-1 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3020740546?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.16, -4?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 + 3*u**3 - 2*u**3 + 0*u + u - 2. Let s(b) = -b**2 + 117*b + 1267. Let k be s(-10). Calculate f(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -65. Let t = 20 - u. Let v = t + 16.0018. What is v rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-6)\/9*2. Let a = 7 + m. Solve 3*u + x = 4*u + 1, 3 = 5*u - a*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44854, -89706, -134560, -179416, -224274?\nAnswer: -269134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -10. Let r(t) = -t**3 - 12*t**2 + 7*t + 7. Let q(g) = -g**3 - 8*g**2 + 5*g + 5. Let x(d) = z*r(d) - 7*q(d). Factor x(f).\nAnswer: 2*f**2*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f = -41 + 105. Suppose 25 = 5*q - 5*d, -4*d - 2 = -2*q + 2. Solve -5*s = 4*c + 33, -6*c = -f*c + q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14018 and 25754?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 + 63. What is the smallest common multiple of n and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1050066 and 1476.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7516604*q**2*w - 36958557*w wrt q.\nAnswer: -15033208*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*l, 3*o + 44*l - 45*l - 2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0 + 8*i**3 + 7*i**4 - 8*i**3 - 2*i in the form p + o*i**3 + u*i**4 + h*i + s*i**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 4*n**4\/3 - n**3\/6 - 23*n**2. Let o(p) be the third derivative of p**4\/24 + 797*p**2. Calculate a(o(m)).\nAnswer: 32*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/(-5) + 3 + 1896\/2. Suppose 0 = -4*f + 3*h + 1885, h = -2*f + 2*h + d. What are the prime factors of f?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 13929 = 4395. Is s a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146075?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5731.252 weeks to minutes.\nAnswer: 57771020.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-7))\/(622\/(-2177)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-114946)\/39*3\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmm. What is prob of sequence mm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 83.33, 4, 202, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6453 + -15989. Let a = -9399.82 - d. Let i = a + -135. Round i to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + q**3 - q + (2*q + 2*q - 5*q)*(-5*q**2 + q**2 + 3*q**2) - 69*q + 3*q**3 + 69*q.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c + 92. Let q be w(-7). Let a be (18\/4)\/(-3)*-6. What is the highest common factor of a and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 12*b + 10. Let o = -24 + -20. Let u be 1\/((-48)\/o + -1). What are the prime factors of m(u)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 753.2 + -753. Which is the nearest to -0.1? (a) n (b) 2 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g**(3\/2)*g*g*g)*g)**(-2\/3)*g**(5\/7)\/g*g**15)**(2\/45) assuming g is positive.\nAnswer: g**(44\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1429.1 - -1429.2. Put 0, v, 2, -1\/4 in decreasing order.\nAnswer: 2, v, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267, 353, 435, 513, 587, 657?\nAnswer: 723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c*m**2 - 8447034*c*m*u**3 - 57*c*m + 2*c - 2*m**2*u**2 - 240 wrt u?\nAnswer: -25341102*c*m*u**2 - 4*m**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620 is divided by 358?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -a + 56, -123 = -r - 5*a + 133 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 224 - 53 - 2*k - 59 - 60 - 162*k**2.\nAnswer: -162*k**2 - 2*k - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 + 3 + 4 = 35*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -11, -3 in decreasing order.\nAnswer: 1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and (-1 - (-7)\/(49\/2576)) + -3 + 0.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -446, 1391, -4 in decreasing order.\nAnswer: 1391, -4, -446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + g**2 + 2*g**2)*(1653*g**2 - 1653*g**2 - 147*g**3).\nAnswer: -147*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787666.\nAnswer: 2, 11, 35803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -468718490 divided by -5\nAnswer: 93743698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/377552 and -59\/128.\nAnswer: 3020416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 383 - 93*h**2 - 383 + (h - h - 2*h)*(-h + 0 + 0) + 24*h**2 - h**2 + 45*h**2 to the form n*h**2 + u + r*h and give n.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 66304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/8 and -51\/263?\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b = -6. Suppose 3*z - 665 = -b*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921481105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 11*h**2 + 32*h + 11. Suppose -2480*q + 2493*q = -91. What is a(q)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 952 divided by -7.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*q + 52 + 44, -5*k + 206 = -4*q. Let w be 3 - k\/(-2 + 4). What is the common denominator of w\/(-56) - (-687)\/462 and 101\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4713.935 + 4735. Let g = j - 21. Round g to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135116?\nAnswer: 2, 17, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-77)\/28)*2\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.09 and 5.901?\nAnswer: 5.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28934, 115730, 260388, 462908?\nAnswer: 723290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 742\/4833 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*x - 8, -5*q + 0*x - 4*x + 17 = 0. Which is smaller: q or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**4\/5 - 5066*j**3\/5 + 280872*j**2\/5 - 4009014*j\/5 + 3733209\/5 = 0?\nAnswer: -5121, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.05 + -4.73. Let g = 0.3 - -22.7. Let l = g - q. What is l rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -31. Let b = -17 - h. Let k = b - 8.0000026. What is k rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31154910 to the nearest ten thousand.\nAnswer: 31150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/8 and -21\/263.\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 136 = 9*n. What is the smallest common multiple of 10 and n?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4 - 984*v**3 + 16234*v**2 - 39900*v = 0. Calculate v.\nAnswer: 0, 3, 14, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5776 is divided by 821?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 882987 is divided by 248.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 3*l**3 + l**3)*(2*l**2 - 5*l**2 + 2*l**2).\nAnswer: -l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 464 = -4*a, -5*y = 5*a - 113 - 462. What is the remainder when a is divided by 54?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.17 + 12.17. Let o = n + -11. Which is the nearest to -0.1? (a) -7 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {p: 1, r: 1, g: 1, l: 1, b: 1, y: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 = -0*n. Suppose -t + n = -2*m - 2*m, -5*m + 5*t - 5 = 0. Is 57*1*m\/(-6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 32752*o**3 + 200085548*o**2 + 540398665680*o + 544481190162450.\nAnswer: 2*(o + 3583)**2*(o + 4605)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-6)*((-12)\/10)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137190 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/22 and -11\/29337082?\nAnswer: 322707902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 85287 and -3.\nAnswer: 85284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 - -1.5. Let r = -0.6 + c. What is the third biggest value in r, 1\/2, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1\/(-8)*(4000\/(-560))\/(-25).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35b0 + 18?\nAnswer: -3595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3433664064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2418075 and 16120500.\nAnswer: 48361500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 745721 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 4:29 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l = -210. Let t be (-308)\/14 + 2\/(-1). Let g = l + t. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35998?\nAnswer: 2, 41, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53607 + 2?\nAnswer: -53605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*v**2 - h*v**2 - 457*h*v + 115*h - 9*v**2 - 6*v - 3274 with respect to h.\nAnswer: 2*h*v**2 - v**2 - 457*v + 115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, w: 4, d: 2}. Give prob of picking 2 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2055.65735 rounded to the nearest ten?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 156*s**3 + 7632*s**2 + 9*s**5 - 1275*s**2 - 269*s**3 + 5*s**5 + 239*s**3 wrt s.\nAnswer: 840*s**2 + 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.08. Let b be (15\/((-35)\/(-7)))\/(1\/15). Let r be (-2)\/3 + 12\/b. What is the closest to 2 in l, -1, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20637 is divided by 1016?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/5 - -2*(-1)\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 50. Suppose 0*u + 10*u = k. Suppose 1294 = -u*f - q, q + 2588 = 5*f - 9*f. What is f rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1494, 6297, 14286, 25455, 39798, 57309, 77982?\n\"Answer: -h**3 + 1599*h**2 + 13*h - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 536353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.548467g to nanograms.\nAnswer: 548467000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2633 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.46168 rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**3 + 20*q**2 - 11*q + 256. Let t(m) = -m**3 - 7*m**2 + 4*m - 85. Give 6*k(y) + 17*t(y).\nAnswer: y**3 + y**2 + 2*y + 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018014 to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140105490*g**2*n**2 + 178*g**2 + 3*g*n - 27124 wrt n.\nAnswer: -280210980*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1874233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 27297200 to the nearest one hundred thousand.\nAnswer: 27300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**4 - 2*t**2 + 2 - 270*t - t**4 + 266*t in the form y*t + i*t**3 + z + u*t**2 + o*t**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00887654 rounded to four decimal places?\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/4 - (5 + -9). Which is the biggest value? (a) -2 (b) s (c) 5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -2\/9 (b) 11 (c) -440\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 0*z**2 - 2*z**3)*(3 + 1 - 2) + 13*z**3 + 21*z**3 - 159*z**2 + 152*z**2.\nAnswer: 30*z**3 - 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125 + -54. Suppose 5*i - 2*j - 90 = 0, -i = i - 2*j - 36. Calculate the remainder when a is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302121321 + 1?\nAnswer: 302121322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.392 + 33.608. Let j = k + -35. What is the closest to j in -2\/3, -11, 3\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70\/17 + -433\/68. Calculate the common denominator of m and 2\/(-9) - (-199)\/288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13432 divided by 13432.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 898998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 + 6*j**3 + 12860*j - 922*j.\nAnswer: 2*j**3 + 11938*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 810 and 729.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) -1\/6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1046*t + 1944*t - 1457 = 991*t - 9548 for t.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 41.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 46, 62, 92, 142, 218, 326?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/4 + (-39)\/(-12). Let b be 7452\/45 + n\/(-5). Suppose 3*r - 8*r + b = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*h = -15, -5*k - h - 2 = 1. Suppose q = -1, 0*v + 5*v + 2*q + 2 = k. What is the first derivative of -3*w**4 - 2 + 4*w**4 + v wrt w?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7662480?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8126.744 days to seconds.\nAnswer: 702150681.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 8*n + 5. Give t(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 - 4*c + 2. Let v be (0\/1 - 1) + 3. What is the units digit of y(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-4) - 66\/(-24). Suppose 5*j - 34 = -t*p, -4*p + 118 = p - 4*j. Calculate the smallest common multiple of p and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11373424 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81 - 33) + 60 + 2 + -10.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4081 = -4*h + 7*b, 404 = h + 3*b - 602. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6081?\nAnswer: 3, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 62\/3*c**2 + 2\/3*c**3 - 68*c = 0.\nAnswer: -34, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 + 6*o**2 - 3*o + 1. What is k(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 + 2*w + 1. Let n be h(-1). Let z be (-7)\/14*0\/2. Suppose i - 16 = -3*u, -n*u + z*u = 8. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 115 = -89. Let m = g - 254\/5. What is the common denominator of m and (-2 - -1)\/(10\/1 - 3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w - 4*g - 4, -3*g = -3. Solve 0 = -5*n + 3*u + 10, -u = 4*n + w*u - 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26204 is divided by 1864.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**4 + 2*t**3\/3 + t**2\/2 - 2*t - 19. Let j be z(1). Solve 3*r + r = 2*k + 2, -5*k = -2*r + j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5588 - 5590. Let n = 19\/90 + -1\/9. Let h = 6 - 5. What is the nearest to h in v, -1\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5805 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 - 641 - 116 + 0 + 1 - 2 + (-4 + 0 + 2)*(-1 - 3 + 3))*(-4*l + 19*l - 6*l).\nAnswer: -7362*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 38, -56401, 48 in decreasing order.\nAnswer: 48, 38, 5, -56401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 8 = -3*s. Which is the nearest to 0.2? (a) s (b) 1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2682, -10830, -24408, -43416, -67854, -97722, -133020?\n\"Answer: -2715*r**2 - 3*r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -60*l*o**4 - l*o**3 - 123*l wrt o?\nAnswer: -240*l*o**3 - 3*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -76912*v. Let q(b) = 3*b + 29. Give q(w(i)).\nAnswer: -230736*i + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1005351*a**3 - 5 + 5 - 1005329*a**3.\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -488, -988, -1494, -2006?\nAnswer: -2524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -561 (base 7) in base 4?\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0, 3, 0.49?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3887 + 703 = 152*g + 1246 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 784 + 643 - 1287 = 0. Let s = 13 + 7. Solve f*a - 6 = -s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -11\/7 (c) -2.5 (d) -13 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*o**3 - 739*o**3 + 247*o**3 + 242*o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2509630*p**2 + 2509665*p - 35.\nAnswer: -5*(p - 1)*(501926*p - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 72550385.\nAnswer: -145100770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 6:15 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/4 and -83\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftffwfwwwtfttt. Give prob of picking 2 f.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d + 7*d**5 + 4*d + (-6*d**3 + 2*d**3 + 5*d**3)*(-29 + 29 - 2*d**2).\nAnswer: 5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*d + 199*d - 8425 = -u, 42205 = 5*u + d. List the prime factors of u.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7821 - -9030. Calculate the highest common factor of 93 and a.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6))\/1*(-4158)\/1155?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3460322 times -5\nAnswer: 17301610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 9 + 29. Let b(a) = -2*a - 5. Let g be b(t). Solve g = -u + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*o = -3*y - 348*o + 97, 5*y + 5*o = 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256, -242, -220, -190?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2\/3 (b) 0.4 (c) 0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 15*p + 445. Give b(-23).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -2\/7, 11, -549, 1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5*v\/(v*v*v**(1\/2)*v))**28\/((v\/(v*v**4\/v*v*v))\/v**(1\/6)*(v**1)**(-3\/41)) assuming v is positive.\nAnswer: v**(18509\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + -35. Suppose 256*k - 269*k + 13 = 0. Let s be 90\/(-300)*k*(-4)\/(-3). Is s < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014802683 rounded to six dps?\nAnswer: 0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 24. Let m(d) = 6*d**2 - d. Let z be m(t). Let f = -5.4 + 11.4. Which is the nearest to f? (a) z (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*i + 3313, 0 = a + i + 319 - 3616. What are the prime factors of a?\nAnswer: 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 192*d*k**3*u**2 + 2*d*k**3 - d*k**2 + 306*d*k*u**3 + 7*k**3*u**3 - k**2*u - 2*u**3 - 1 wrt k?\nAnswer: 1152*d*u**2 + 12*d + 42*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w + 21. Let q be k(4). Let x = 46 - q. Calculate the remainder when 96 is divided by x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*t + 9. Let y be (-8431)\/t*230*1. Let p = 169565 - y. Round p to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5314 - -8861. Suppose -4*a + 3540 = -7*s + 3*s, 0 = 4*a + 3*s - r. Is a\/(-4)*(-4)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204660 + -33\nAnswer: -204693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 13\/5)\/(20\/50). Solve o*g - 4 + 18 = -h, -4*h = -5*g - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -13*s - 2. Let q be l(-2). Let 27 + 93*u**2 + 5*u**3 + 57 - 20*u - 108*u**2 - q = 0. Calculate u.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/12025 and -151\/7800.\nAnswer: 288600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-497*k - 468*k + 727*k).\nAnswer: -476*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -2*x**4 - 2*x**3\/3 + 72*x**2 + 119*x + 1. What is the derivative of u(d) wrt d?\nAnswer: -48*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*o - 9 = 61*o + 2*l, -l = -2*o + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10}. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.984 and 18666.\nAnswer: 55699.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 444\/235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 2:47 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -82. List the prime factors of q.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/1769 - -1761\/7076. Factor o*u - 1\/2*u**2 - 1\/4*u**5 + 0*u**3 + 1\/2*u**4 + 0.\nAnswer: -u*(u - 1)**3*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16160000 rounded to the nearest 100000?\nAnswer: -16200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -22*q + 347. Determine i(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 - -3. Let h = s - 0.2. Let p = -0.7 - -0.7. What is the nearest to h in -3\/2, 2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4 - 4*p**3 - 8 - 3*p**2 + 6 - 7*p + 35. Is c(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-10) + ((-1430)\/(-75) - 10). Let q = 168\/11 - 127\/22. Let j = p - q. Which is smaller: j or 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 15) to base 12\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2)\/y)\/y**(1\/3))\/(y*y\/(y*y\/((y*y**(5\/6))\/y))*y*y*y**(1\/3)))\/((y*y**2)**20\/(y*y**(-5)*y*y*y**(-4\/5))) assuming y is positive.\nAnswer: y**(-693\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -16, 3, -3, 1\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 11*v**2 - 19*v + 4. Let d = 3 - -10. Let q be y(d). Suppose 24 + 100 = 4*p - 4*i, -3*p + q = -2*i. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32419829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1336 + -1.1144. Round i to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128462811 + -5780281349\/45. Let i = -12116 + f. Let h = -3080 + 18551\/6. What is the common denominator of h and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 16, -16, -23, -8 in descending order.\nAnswer: 16, -3, -5, -8, -16, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283989*t + 4 - 15 + 4 + 2 - 283988*t + 5.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aavnaaaajatatanaaa. Give prob of picking 1 j and 1 t.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*z - 2253 = 3162 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 + -81. Let f(a) be the second derivative of -55\/12*a**4 + 7\/20*a**5 + 14\/3*a**g + 0 - 5\/6*a**7 + 2*a + 59\/30*a**6 - 2*a**2. Solve f(v) = 0.\nAnswer: -1, 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33715 and 15.\nAnswer: 101145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 10747.4312 to the nearest 10.\nAnswer: 10750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajb when three letters picked without replacement from {a: 4, j: 5, b: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6003 - 5964. What is the greatest common divisor of 403 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -434 or -431?\nAnswer: -431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-7 - -6) + -7 - (-337 - -347) - -83?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -18000.\nAnswer: 1\/9000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 204, -3, -8, 88526, 3 in decreasing order.\nAnswer: 88526, 204, 3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 12*u**5 + 29403*u**4 + 13314642*u**3 - 6087134025*u**2 + 4554508932*u + 1519281036 = 0?\nAnswer: -1362, -1\/4, 1, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*i - 16 = -12, 0 = -3*u + i + 11. Which is the second biggest value? (a) u (b) 5\/9 (c) -1 (d) 0.4 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/20 and -115\/1387274.\nAnswer: 13872740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 divided by -11178?\nAnswer: -29\/3726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4 - 1 = 0. Let p(b) = 5*b**2 - 2*b**2 + 1 + 3*b**2 - 2*b + 6*b**2. Is 11 a factor of p(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmnm when four letters picked without replacement from {m: 11, n: 3}?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)\/m)**(-45)\/(m**(-2))**39 assuming m is positive.\nAnswer: m**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -151, -102, 95, 488, 1125?\nAnswer: 2054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 2755*o**2 - 13870*o - 16680.\nAnswer: 5*(o - 556)*(o + 2)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -177 + 330. What are the prime factors of r?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(44)*1)\/(sqrt(64) + (sqrt(64) - (4*1*sqrt(64) + sqrt(64)))).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*u - 25 = 0, 2*u - 4*u = -8. What is the first derivative of 5 + 4*s**2 - 1 + z - s**2 wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57553 is divided by 606.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 5*j**2 - 5*j + 6. Let b be y(4). Suppose -m**3 + 5*m**2 - 2*m**3 - 4*m + m + m**b = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 5*r + 2*r)*(-5*r**2 + 2*r**3 + 5*r**2) + 3*r**4 + 0 + 0*r**4 - 1.\nAnswer: 7*r**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -88*m**2 + 1056*m + 5314. What is y(-5)?\nAnswer: -2166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 34. Let v be (-4)\/(-14) - (-116)\/(-14). Let a = v + 92. What is the greatest common factor of i and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2481*f**2. Let x(r) = -3*r**2. Determine x(a(p)).\nAnswer: -18466083*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 332 = 3*v - 349, -5*n = v + 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 54 + 3\/2*v**2 + 30*v = 0?\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 752328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, -7, -3, 19.\nAnswer: -10, -7, -4, -3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 0*d**3 + 1 - d + d**2 - d**3 + 0*d. Let g = 27 - 27. Let p be q(g). Let j(x) = -x + 1. Let h(a) = 2. Calculate p*h(c) - j(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + (sqrt(1573) - (sqrt(1573)*-1 + -3)) + -5))**2.\nAnswer: -352*sqrt(13) + 25184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(sqrt(11) + -2) - sqrt(99)*1)*-2 - (4 + 1 + sqrt(396) + sqrt(396) - -5*sqrt(44)*-5))*1)**2.\nAnswer: 1216*sqrt(11) + 11625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*x + x - 8 = 0, -5*o + x - 15 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, -2, -5 in descending order.\nAnswer: 133, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -130 - -145. Suppose -n = 4*p - 3*p - o, -48 = -5*p + 4*n. Calculate the least common multiple of p and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpfw when four letters picked without replacement from pffwpppf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 2822.\nAnswer: -2\/1411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 983*b**2 + 4*b - 613. Let o(u) = -2949*u**2 - 11*u + 1839. Let j(r) = -4*o(r) - 11*x(r). Find the first derivative of j(a) wrt a.\nAnswer: 1966*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 58 = -103 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 1. Let q(w) = 1. Determine -5*o(a) - 5*q(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 180 - 29?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 21404?\nAnswer: -21412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 5:06 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/644 and -58\/38045.\nAnswer: 3500140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10737 + 14069 - 7018)*(l - 3*l + l).\nAnswer: -17788*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**8\/3864 + m**7\/2415 - m**6\/1380 - m**5\/690 - 15*m**2. Solve g(l) = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a8180 (base 12) in base 8?\nAnswer: 10340360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9430210*0.78\nAnswer: 7355563.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -113, 5 in descending order.\nAnswer: 5, 3, 1, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15\/197 - -8576\/1379. What is the common denominator of 61\/(-7) - (-4)\/14 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*i = -2*s + 23, 0 = -3*s + 3*i + 15. What is the first derivative of 90*g**2 + 264*g**s + 114 - 35*g**4 + 98*g**2 - 188*g**2 wrt g?\nAnswer: 916*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 26260*p**2 + 114811416*p - 167136108912.\nAnswer: 2*(p - 4518)**2*(p - 4094)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 + 0 - 2 - 30*h + 28*h wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 7:57 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 3*a**4 + 6*a)*(2*a - 5*a + a) - 14*a**5 - 4*a**5 - 5*a**5 - 3*a**5 - 2 + 2.\nAnswer: -32*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -15672\/295471?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/12086?\nAnswer: -1\/12086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98052 is divided by 456.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31212?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 1 - -6 - 16 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 - 549 = -41*i + 1. Solve -240 = 16*t + i*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -29. Suppose -21 = -4*y + f. Let i(h) = 3*h + 5*h - y*h. Let l(t) = -7*t**2. Calculate i(l(k)).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**2 + 2\/9*w**3 + 18*w + 0 - 1\/18*w**4. Factor g(s).\nAnswer: -2*(s - 3)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s - 5. Does 13 divide (3 - 30\/s)*-69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1302000, -1301994, -1301988, -1301982, -1301976, -1301970?\nAnswer: -1301964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62*(-9)\/558*-7*2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 9. Let y be i(6). Sort 1, 0, 4, y in descending order.\nAnswer: 4, y, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p = -n - 138, -18*p = 575*n - 578*n - 279 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/3, 2\/5, -5, -2\/9, 33 in ascending order.\nAnswer: -5, -2\/9, 2\/5, 11\/3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.085588863 * 1.\nAnswer: 0.085588863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 = 2*m, 4*m = b + 2*m. Let o be (1\/(5\/7) - b)\/(-1). Determine d so that 9\/5*d + 6\/5 - o*d**3 + 0*d**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, f: 6}. What is prob of picking 3 u and 1 f?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*(2 - 9\/3). Let d(f) = -f**2 - 12*f + 25. Let w be d(-14). Which is the nearest to 0.3? (a) k (b) w (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7*s = 0. Suppose z - 25 = u - 12, -2*z + u + 29 = s. Calculate the smallest common multiple of (-2 - -2 - -2)*6 and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 + 12 - (4 + -1)\/(-3). Solve l*q - 8 = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*s + 16, i + s + 1 - 12 = 0. Let p(t) = 2*t**2 - 17*t + 4. Let j be p(i). What is the highest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + u + 19. Let b(k) = 2*k**2 + 3*k + 38. What is 2*b(t) - 5*i(t)?\nAnswer: -t**2 + t - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d + 8*d - 20*d + 2*d. Let f be b(-1). Suppose k + 120 = 5*s, s - 23 - f = 3*k. What is the smallest common multiple of 11 and s?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from {p: 3, h: 5, z: 6, y: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28611 + 28612. Is 10133\/4 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 644*p**2 + 3*p - 10. Let f be t(5). Suppose -3*g + 4681 = -4*l - f, 20795 = 3*g + 5*l. Round g to the nearest one hundred.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+1138924\nAnswer: 1138922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1 + 5 = 0, -3*m = -2*d - 13. Suppose 2*t = 2*u + 18, m*t + u - 7 - 4 = 0. Solve t*j = -3*r + 2*j, 2*j - 3 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 129124\/7182)\/((-3)\/(-9)).\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90509 is divided by 101.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 3*y + 36 = 2*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 546*c**2. Let q(r) = -13*r + 155. Let s be q(12). Does 14 divide z(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyxagaxp. What is prob of picking 1 g, 1 x, 1 p, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + y**2 - y - 1. Let o(q) = 0*q**2 - 2*q - 2*q - 6*q**3 + 3*q**2 - 4 - q**2. Let r(b) = o(b) - 4*t(b). Suppose r(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1524 by -3.\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u**3 - 5*u**2 - 5. Let m(b) = 22*b**3 + 16*b**2 + 16. Let i(d) = -16*k(d) - 5*m(d). Factor i(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -202, -377, -692, -1165, -1814?\n\"Answer: -3*q**3 - 52*q**2 + 2*q - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2\/17 - 8932*g\/17 = 0.\nAnswer: -4466, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = z + 3*t, -162*z - 3*t + 15 = -165*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -636*c**5 - 2*c**4 - 742*c**2 + 64950*c - 3?\nAnswer: -12720*c**3 - 24*c**2 - 1484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*806.\nAnswer: 11284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 53*y + 3. Let q be b(9). What is q rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(112)*-3)*-2.\nAnswer: -2 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - q = 851, -3*x - 2125 = -8*x + 3*q. Suppose 2*u - 42 = x. Is u a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84 - 7*v - 1\/7*v**2.\nAnswer: -(v + 21)*(v + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (110\/(-66))\/(5\/(-6)). Let i(g) = 2*g. Suppose 0*d - 2*d = -8. Let l be i(d). Solve y*o + l = 6*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 15*h. Let m(x) be the first derivative of 5\/2*x**2 + 0*x - 13. Calculate g(m(t)).\nAnswer: 75*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 60. Let d = 19.76 + u. Round d to 2 dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4241477 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/3 + (101 - 8). Let l = -387\/4 + y. Let g(w) = -w - 5. Let h be g(-6). Which is the closest to 1? (a) l (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 1. Let i be p(5). Let q = i + -5. Let a = q - -2. What is a rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/10 + 3 + 14\/5. Let k(f) be the first derivative of 0*f**2 - 1\/4*f + 11\/12*f**u - 9\/8*f**4 + 2\/5*f**5 - 3. Let k(h) = 0. What is h?\nAnswer: -1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 6:44 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + -17. Suppose 14*z - 448 = 350. Let s = d + z. Solve -p - s*p - 11 = o, 0 = -5*o + 2*p + 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6189 is divided by 144.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11110101 (base 2) to base 3\nAnswer: -100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3936.0001897 + -3936. Round k to five dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 16*x**2 - 4*x - 11. Let s(r) = r**3 - 17*r**2 + 5*r + 11. Suppose -15*u + 7*u = 40. Let i(w) = u*s(w) - 6*b(w). Let i(n) = 0. Calculate n.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 21079, -1.\nAnswer: -1, 6, 21079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.43583 to two decimal places.\nAnswer: -38.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 790 and 474?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2.4. Let q = -367 - -364. What is the closest to -1 in q, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109341\/1072 + -102. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 2.898\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30 + 2*p**2 + 13*p - 6*p**2 - p**2 + 12*p.\nAnswer: -5*(p - 6)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 + 4*a - 4*a + (4*a - 3*a + 0*a)*(3 + 4*a - 3) + (-4*a + 5*a - 2*a)*(-2*a + 3*a + 0*a) - 3*a**2 + 3*a**2 - 2*a**2 - 2*a**2 + 2*a**2 - a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 - 2*y**3 + y**3)*(-4 + 4 - 1 + (3 - 4 - 1)*(-2 + 2 + 2)).\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7582458 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 5*m**2 - 9*m - 11. Let y(o) = 3*o**2 + 96*o - 321. Let t be y(-35). What is f(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201894491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 995271524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aii when three letters picked without replacement from aiigkkgwiawwiciiwwk.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 98\/48 - 7*8\/28. Let i(l) be the second derivative of -1\/4*l**3 + 3*l + k*l**4 + 1\/2*l**2 + 0. What is c in i(c) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129497 is divided by 42387.\nAnswer: 2336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {b: 1, l: 5, i: 4, a: 3}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*r - 182 + 260 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1441*u - 1521*u = -560 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*x - 4. Calculate the least common multiple of 5 and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4836427*t**5 + 2*t**4 - t**2 + 28*t + 828915?\nAnswer: 96728540*t**3 + 24*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*z - 25. Let a(l) = 1. Let t(h) = -2*h - 5. What is z*a(i) + t(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5499 - 3288. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1841 and 315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 + -82. Suppose j*i = -2*y + 10915, 3*i - 112*y + 115*y - 6549 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 66, 90, 134, 204, 306, 446, 630?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 27. What is x(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6165*h - 752112. Give f(122).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + (-133 - -127) - (2 - 1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 35*i = -5*i. Suppose i = 3*z - 5*x - 66, 26 + 18 = 2*z + 2*x. What is the lowest common multiple of z and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -1 - (27 + 29 - 42)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/13, -6\/89, 1, 0.03 in increasing order.\nAnswer: -6\/89, 0.03, 6\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from ghghghh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 593, 392, -155, -1222, -2983?\nAnswer: -5612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14.71 (b) 5.07 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 8:14 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -994*y + 992*y - 4*j = 1306608, -2*j = -y - 653296. What is y rounded to the nearest ten thousand?\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 323.7 - 819.7. What is the nearest to n in 2, -1, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*s + 4. Suppose c - 15 = -3*j, -j = 4*c - s*j + 5. Suppose 2*b - 40 = 4*t - 0, c = b + 4*t + 10. Calculate the remainder when 38 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230012 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 1077832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3457.\nAnswer: 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 4\/7, 10\/9, 1\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 978 and 10?\nAnswer: 4890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-13)\/(-26))\/((-2)\/12). Let n be (4\/w)\/(8\/(-252)). Suppose -3*f + 9 = -n. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-8 - 3) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1\/5, -0.04, -2.5, 4\/3, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8121 + -27?\nAnswer: 8083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3536.64 take away 0.097086183?\nAnswer: 3536.542913817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 y when three letters picked without replacement from qqqyvyxvyvxxxvxxyyq.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1111*r**3 + 547*r**3 + 557*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2743362 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 144786419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52807227 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -320 + 310. What is the closest to f in 0.4, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23355105.\nAnswer: 3, 5, 1557007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/5 - -1)*(-884)\/(-544)*-20*1?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 10*j**2 + 3*j + 25. Let m be p(-10). Let a be (-19)\/8 - (-48)\/128. Sort 3, a, m.\nAnswer: m, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 11\/20)\/((-12)\/35). Let m = -9\/16 + v. Factor -m*i + 0 + 3\/4*i**2.\nAnswer: 3*i*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4 - 4 = 0, 0 = g + 5*z + 8. Let p be 1\/(-3) + 37\/2. Let q = g + p. What is the biggest value in q, 0, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6508 divided by 4\nAnswer: 1627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*f - 2402 = -2615 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3030 - 68161 - 37877 = -1184*l for l.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 808182481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 5. Let y = 109 + -125. Let t(w) be the first derivative of -7 + 0*w**2 - 26*w + 4\/3*w**3. Calculate y*k(c) + 3*t(c).\nAnswer: -4*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 - 7*d + 6. Let u be n(5). Suppose 43*o + 365 - 1268 = 0. Calculate the highest common factor of o and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inbofoan. Give prob of sequence bai.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/7))\/(c*c**(-6)))**(-6\/7) assuming c is positive.\nAnswer: c**(-246\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36492*n - 37417*n - 10*n**3 + 73909*n.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 740 + -744. Let r be (-30)\/4*(-2)\/(-20). Which is the nearest to -1? (a) 2\/27 (b) r (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -26. Suppose -l = -3*r - r, -r + 13 = 3*l. Calculate the lowest common multiple of b and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61605, -0.12, -11 in descending order.\nAnswer: 61605, -0.12, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2*o - 5*o + 10 - 10 + 4*o + (0 + 2 + 1)*(5*o - o - 2*o) + 1 - o - 1)*(59 - 6*o**2 - 59).\nAnswer: -36*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (3 - 1)\/1 - -13. Let j be -2 + ((-48)\/k)\/(1\/(-5)). Let v = 2 - 0. Calculate the greatest common factor of v and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 4:28 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 2 - i + 1\/2*i**2. Let d = 17 - 12. Give a(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from aaadddaadddaa?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2258150376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 divided by 6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from {g: 1, n: 1, r: 2, h: 1, d: 2, f: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*4\/40*12. Let t = v - 4. Let f = 5 + 0. What is the remainder when f is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1439366 and 9355879.\nAnswer: 18711758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q - 32*q = 31*q - 893 + 14141 for q.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 600 = -2067. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m = -600. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 16 = 3*i, -2*i + 2*n = 6*n + 16. Suppose 15 = -i*p + 5*p. Solve d + d - q = 0, 3*d + q = p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 27. Let g(t) = -t + 1. Determine 2*g(s) - r(s).\nAnswer: s**2 - 2*s - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2358?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 55. Let a(k) be the third derivative of k**5\/60 - k**4\/4 + 2*k**3\/3 - k**2. Determine a(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 29*o**3 + o**2. Let h be t(1). Suppose h = -p + 3*p - 4*a, 3*a + 6 = 0. Let z = 169 + -81. Calculate the highest common factor of p and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 - (-18 + 21 - 12) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -26. Let t = 10 + -10. What is the closest to t in 4, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((q - q - q)*(2 - 1 + 0) + 1 - 1 + 2*q)*(4*q + 11*q - q)*(5 - 5 + 2).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 304?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (17 + -12 - -4) + 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 11*b - 25. Let a(q) = -3*q**2 - 22*q + 49. Let l(n) = -2*a(n) - 5*r(n). Calculate the remainder when l(11) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 55 - 1903*v + 64 - 147.\nAnswer: -1903*v + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 3 - 15. What is the highest common factor of 7 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 3*z - 0*z. Suppose -j = -4*a - z - 4, 0 = 3*j + 2*a + 2. Suppose -3*c - 3 = 0, j = 3*u - 2*c + 11 + 8. Which is smaller: -8 or u?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-31 + -1)*2\/(-4). Let r be (-2)\/6*(1 - a). Suppose -2*o - 3*l = -25, -o + 0*l + 30 = r*l. Solve 2*u + 20 = o*i, 5*i - 3*i = -4*u - 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**3 - c**2. Suppose 6*a = 4*o + a - 36, 5*a + 20 = 0. Suppose 11*f - 29 = o. What is the remainder when f is divided by l(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -87\/163 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-120) + 2\/(-4) + (0 - -1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1212746 and 12070.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14362373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, o: 1}. Give prob of picking 3 a.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18975740 and 8291920?\nAnswer: 986738480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b**2 + 20*b**2 - 4*b**2 - 12*b**2.\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (18 + (9 - 18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 12702?\nAnswer: 12697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 38570*c + 38566*c - 28 = 0, -4*c - 19 = 3*k + c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*(2 + sqrt(1900) - sqrt(1900)))**2 - ((-1*sqrt(2736) - sqrt(171)*4) + 0)**2.\nAnswer: -10940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjjjjjkjkjkkk. Give prob of sequence kk.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5941*z - 6046*z + 5040 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -32, -4 in increasing order.\nAnswer: -32, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -5. Let h(j) = -j**2 - 4*j + 9. What is the units digit of h(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9435382.\nAnswer: 2, 11, 23, 29, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 8:32 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q. Let v(g) = -2*g**2 - 4 + 6 - 2. What is v(z(a))?\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j + 2. Let c be o(3). Let h = c - -14. Factor 6 - 3 - h*i - 2*i**2 - 5.\nAnswer: -2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c = -70. Let w = 24 - c. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5649595 to the nearest integer?\nAnswer: 2377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2407 + 4817\/2. Let q(w) be the first derivative of -6 + 0*w**3 + 0*w + 1\/2*w**6 + 0*w**4 + i*w**2 + 0*w**5. Find the second derivative of q(u) wrt u.\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 1. List the prime factors of (k + (-33)\/15)*10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2, -2*q + j + 7251 = -10175. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407297714 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 33*c**2 - 35*c + 36. Suppose 0*u - u = 2*d - 73, -5*d + 5*u + 145 = 0. Let y be t(d). Solve y*j + 0 = 5*v + 21, 9 = -5*v - 2*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 10*o + 13. Let h be x(11). Suppose 134 = 3*y + f, -y + 23 = -2*f - 31. Suppose -d + 27 = h*z, -2*z = -2*d + y - 10. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 17*u**2 - u - 12. Let p be o(-17). Suppose p*s - 169 = 1761. Is 16 a factor of s\/12 - 2\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g - 17*g - 30 = 0, -5*l + 2*g + 5 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -1) + 0 - (907 + -945).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58*74\/30044)\/((-246)\/(-14))*-2.\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(4)*-4 + 2 + sqrt(18).\nAnswer: -sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*n + 5*k, k = -0*k + 2. Let m = 43 + -31. Calculate the remainder when m is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -314.27, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -306*y + 61. Is f(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 9533922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554346.\nAnswer: 2, 3, 13, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from zizikkiizik?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 2. Let w be a(-5). Let k(b) = 2*b - 4. Let d(f) = f - 2. Let u(m) = w*d(m) + 4*k(m). Let i be u(-1). Put -5, i, -4 in descending order.\nAnswer: i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 45\/(-105) - 106\/14. What is the units digit of 847*6\/24 - 2\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 - 269*c - 57477\/2.\nAnswer: -(c + 147)*(c + 391)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 59 = 3*y - 27 + 23, -5*o + 25 = 5*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*v - 254, -3*d + d + 5*v - 257 = 0. Let k = -65 - d. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1852.29634 rounded to the nearest 10?\nAnswer: -1850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 1. Let c(b) = 296*b**2 - 148*b - 148. Give c(j) - 148*n(j).\nAnswer: 296*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 + 170\/(-20))\/(1*2). What is the second smallest value in 44, a, -0.4, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -323.972 and 0.08.\nAnswer: -25.91776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Let c(q) = a - 3 + 5*q - 4*q. Calculate c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 11, -30, 3\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513598 is divided by 15809?\nAnswer: 7710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -0.9968. Let k = 0 - 0. Let c = k + y. What is c rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a - 4*a + a - 13. Suppose 4*n + 0*o = 2*o + 66, 2*o = -6. Suppose 33 = -2*z + n. Give t(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -24, -67, -148, -279, -472?\nAnswer: -739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhkzkgtktkktzthghg. What is prob of picking 2 h and 1 t?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9165073669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + g + 1. Suppose 2*w + 16 = 3*l, l + 0*l + 5*w = 28. Let m be -5 - (-5)\/(20\/l). Let u(i) = i**2 + 3. What is m*z(q) + u(q)?\nAnswer: -2*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 60668 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6*b - y = 72, -3*b + 117 = 3*y. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40678960 to the nearest integer?\nAnswer: 6378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*n - 602*n - 134*n as p + a*n and give a.\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14*(-5)\/(-12))\/((-252)\/108)*(-208)\/(-20).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3316?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8, -9, -26, -43?\n\"Answer: -17*v + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/8)*v*v**(-22) assuming v is positive.\nAnswer: v**(-169\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqvf when four letters picked without replacement from {v: 2, q: 1, k: 1, f: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-12 + -23)) + -27.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (22 - 25) - 10 - 19.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15449 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-291)\/(-27) - 6\/(-27). Suppose 32 = -2*f - 3*u + s, 0 = -f + u - 8. Is -10 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -4. Suppose 5*i - 23 = -2*k, y*k - 5*k = i - 23. Suppose i*v = 6*v + 3*o - 216, 0 = 4*o - 20. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 11*k**4\/12 - 8*k**3\/3 + 29*k**2 - 7*k + 3. Let w(a) be the first derivative of s(a). Differentiate w(l) with respect to l.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2346 divided by -6.\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y + 17 = 55. Are y and -10\/297 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2678300\/39 and -68675 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 + ((1 - 9) + 22 - 7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2429\/(-9) - 12\/108. Let c be ((-4)\/(-3))\/((-36)\/y). Solve -4*j = -q - 17, q + c = 2*j + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:31 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -0.2, -28?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -10*i - 7. What is the tens digit of h(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-90)\/(-27) - -8. Factor 4\/3 + u*h + 25\/6*h**3 + 35\/3*h**2.\nAnswer: (h + 2)*(5*h + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28032761 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3) + (-188)\/(-6). Let d be o\/(-14) - 6\/(-21). Let u be (1\/2)\/(1\/d). Let n(m) = -4*m**2 + 2*m + 1. Determine n(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 16. Suppose 38 = -5*d + 4*h, -5*d + 4*h = 2*h + 44. Let j be t(d). Let g(y) = -y - 6. Calculate g(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1193 + -1190. Solve -36*x + 312 = h*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520\/(-266)*(2 - 156).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**6\/15 + 49*u**5\/20 - 31*u**2 - 66*u. What is the derivative of c(i) wrt i?\nAnswer: 8*i**3 + 147*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {f: 3, m: 7, y: 2}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.6 and -6926.\nAnswer: -6928.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 521319.219 - -1009.781. Let l = r + -522390.9922. Let j = -62 - l. What is j rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-8)\/490*-25*2\/(-20)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/5 - 5317*m\/5 - 21284\/5.\nAnswer: (m - 5321)*(m + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 440, 1610, 3560, 6290, 9800?\nAnswer: 14090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10728 - -11321. What is the biggest value in 2\/5, 2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s + 4 = 0. Let q be -2*(0 + 3\/(-2)). Suppose -17 = -s*u - q. Calculate the remainder when u is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*z - 12 = 0. Find the third derivative of -z*j**3 + 4*j**2 + 7*j**3 - 7*j**5 + 5*j**3 wrt j.\nAnswer: -420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/6) - (-10)\/10*-11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2\/2 + 10031*y\/2 - 1003.\nAnswer: -(y - 2006)*(5*y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.058379 + -1254.501621. What is u rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5068*t - 134111 = 53405 for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1. Suppose 4*h - c*o + 2 - 17 = 0, -3*o = -2*h + 15. Suppose h*i + 4*i = -2*s + 22, 0 = -5*i - 2*s + 27. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 168378 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*i + 76 = 0, 0 = -2*i - 3 + 11. What is the remainder when t is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a**2 - 42*a - 5. Determine r(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**5\/7 - 76*u**4\/7 + 460*u**3\/7 + 23456*u**2\/7 - 141578*u\/7 + 16820 = 0. What is u?\nAnswer: -29, 1, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22755 or 24324?\nAnswer: 22755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -66 and 0.1.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - c62725?\nAnswer: -c6272b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1155603 (base 7) in base 11?\nAnswer: -a1606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**2 - 25*s**3 + 1 + 20*s**3 + 0 to the form m*s**3 + a + k*s + v*s**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*n + 17*n + 7*n + 11*n as f*n + l and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3 + 2*w**2 + w**2 + 0*w**2 as x*w**2 + p*w + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14162 and 657.\nAnswer: 127458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.594 rounded to zero decimal places?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47669872 by 11917468.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2073 + -22838\/11. Let p(h) = -h**2 + 7*h - 4. Let u be p(5). What is the common denominator of (-2328)\/(-16)*2\/u and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1 - 14 = 0. Let y = 6 - r. Solve 8 = y*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*b = 2*b + 20, 2*t - 2*b = 12. Suppose -o + 183 = 25. Let c = o + -156. Solve -t = -i + c*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*c = 39, -5*i - 2*c + 3*c = -69. Let g = i + -11. Solve 4*t + m = -3 - 0, t - g = m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4087418064 to the nearest integer?\nAnswer: 63933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*y = 3*y - 80, 5*y = -2*z + 16. Let o = 51 + z. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149 - -77. Let v = -126895.4 + 126895. Which is the closest to l? (a) v (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -53*y**2 - 9*y + 10. Suppose 4*n - 20 = 4. Suppose 0 = -k - x - n, -3 = -2*k - 4*x - 7. Let v be h(k). Round v to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681490661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by -25?\nAnswer: 41\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1 + 3 + 6*m + 16 + m + 6*m. Give d(-12).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6 + 7 + 1 + y - 6. Let k be b(6). Solve -2*x + 9 + 7 = 4*m, -k = -3*x - 4*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 11*n**2 + 4*n + 20. Calculate u(10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/90 and (-42)\/1800*3*-22.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-95)\/(-133)*34)\/((-65)\/(-182)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 1, b: 1, h: 1, k: 1}. What is prob of sequence kr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-12)\/4))\/(-1)*-5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.067 - 21.067. Let h = -27.2 + 5.2. Let d = h - g. Which is the smallest value? (a) -0.3 (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9208 - -9210. What is the nearest to 4 in -0.1, i, -21, -0.07?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Suppose -p*f = -6*f + 6. What is the third derivative of -4*t**2 - t**3 - 3*t**5 + t**3 + 7*t**f wrt t?\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(34\/18 + -2). Let q = 10 + p. Sort -5, q, 4.\nAnswer: -5, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 604580\/8979 + 2\/2993. Let r = -665\/6 + p. Let k = 7171 + -71623\/10. Calculate the common denominator of k and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16454 and 4294.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2, 15, 42, 79, 126, 183, 250?\n\"Answer: 5*a**2 + 2*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.74079677 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 4, -1\/53?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 559489802 to the power of 1\/3, to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-16)\/(-392))\/((-11)\/(-1848)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 71.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (0 - 2 - -1). Let r = 4 + u. Differentiate 4*q**3 + 0 + r - 2 with respect to q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35222\/45 + 3904\/5. What is the common denominator of c and 31\/75?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125878920 by 3.\nAnswer: 41959640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.024? (a) -3\/5 (b) -1\/3 (c) 10\/7 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6763 - 6760. Let m(j) = -17*j**2 - 4*j. Let v(a) = -a**2 - a. Determine i*v(d) - m(d).\nAnswer: 14*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -718*j. Let g(x) be the second derivative of 7*x**3\/6 - 149*x - 2. What is g(v(k))?\nAnswer: -5026*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 20. Solve p = 4*i - i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19218 * -0.06\nAnswer: -1153.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(sqrt(45) + (sqrt(45) - sqrt(1620))**2) + (sqrt(125) + -2 - (sqrt(30)\/sqrt(6))**2*-3).\nAnswer: 23*sqrt(5) + 6763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 165 (base 9) to base 10\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(19) + 0 + sqrt(19))**2*-2.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -57, 3 in descending order.\nAnswer: 3, 2, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -93213\nAnswer: 18642.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (32\/40)\/((-14)\/(-945)) is divided by 33.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -590390 less than 1.35?\nAnswer: 590391.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3014402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5132.\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/19251528, 2\/7, 2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1244052 (base 9) to base 5.\nAnswer: -133204441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m + 498 + 524. Let c = -137 - m. Calculate the remainder when 17 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u - 10*u + 24*u**2 - 57*u**2.\nAnswer: -33*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 20 = 0, -2*h + 9 = -2*b - 7. Solve -4*m - 9 - h = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.144 take away -1165955?\nAnswer: 1165927.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - (-4 + 1)\/(-1). Suppose -13*a + 6848 = o*a. What are the prime factors of a?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f. Let z(y) = -4*y - 5. Let x(n) = 5*q(n) + z(n). Let v be x(9). Suppose -v*m + 8*m = 100. What is the remainder when 47 is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -414, 64, 870, 2022, 3538?\n\"Answer: 3*a**3 + 146*a**2 + 19*a - 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**24\/c)\/c)\/(c\/(c*c**(-24\/5)*c))*((c\/(c*(c*c**(-2\/21)*c)\/c*c))\/c)**(2\/3) assuming c is positive.\nAnswer: c**(5123\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -189, -3, -0.1, 0.07, -1, -36?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 395\/10 - (-46121)\/5426\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6663 and 18?\nAnswer: 39978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*c - 4*j, 0*j + 8 = -2*j. Let s be (-7)\/c*3 + 0. Let g(b) = b. Is g(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 9 - (-19 + 15)) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1*-687)\/(60 + -61) is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15481, -20799, -26117, -31435?\n\"Answer: -5318*u - 10163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*a**2 - 47*a**2 + a - 26*a**2 - 62*a**2.\nAnswer: -191*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from hzzfzzzzz?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 545, 2162, 4857, 8630?\n\"Answer: 539*z**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 - -102. What is the nearest to t in 3\/4, 1\/3, 0.03?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kni when three letters picked without replacement from {k: 6, i: 3, n: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 8*c**2 - 8*c + 33. Calculate a(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*c**2 + 0)*(-10*c + 35858 - 35858) to the form m + f*c**3 + l*c + n*c**2 and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1451430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1799 and 6097770314.\nAnswer: 6097768515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from {z: 1, m: 1, y: 1, d: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2 - 15*o + 56. Give w(3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 4) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525406961?\nAnswer: 89, 5903449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*t + 484 = -0*t, a - 92 = -4*t. Suppose 2*s = 5*s - 9. Suppose s*f + f = a. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(((-1)\/(-4))\/(58\/(-8))).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 965564.\nAnswer: 2, 241391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104231303 (base 5) to base 14.\nAnswer: -c024d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 16*m + 5. Let f(t) = -t - 1. Give -d(y) - 3*f(y).\nAnswer: -13*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -275 - -442. Suppose 2*y - 375 = 5*k, -2*k - p = -y + 23. Is y a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 1\/5 (c) -306\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.188598 or 0.2?\nAnswer: 1.188598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -11) + -8 + 12 - 29?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 - 3478010*q + 3478010*q.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 66442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4631105 a multiple of 912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40731 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 122452, 120809, 119166, 117523, 115880, 114237?\n\"Answer: -1643*i + 124095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 319 and 14459 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -4*s. Suppose 30 = s*v + 2*v. Suppose -3*j + v = -3. Calculate the remainder when j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50852.5623 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 191. Let k = s + 318. What are the prime factors of k?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 63. What is the remainder when 98 is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4689*y - 929. What is the tens digit of j(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from avvavvavav.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and (-12)\/(((-15)\/2)\/5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 4:46 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 12b5?\nAnswer: 12b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -435725*d - 12636015. Calculate p(-29).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*v + 23, -5*i + 5*v = 81 - 16. Let x be (3\/(-2))\/((-7)\/i). Let a(q) = q**3 + 4*q**2 + 3*q + 1. Give a(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*j + 7*j + 13*j + 9*j - 9*j - 45*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (66\/(-198))\/(1\/714)*(-35)\/2 is divided by 149.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 347294394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q. Let k(c) = -480*c + 216. Let u(j) = 4*j - 2. Let z(a) = k(a) + 108*u(a). What is x(z(l))?\nAnswer: -672*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -17*i - 361 + 73 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35.977 + 61.977. Sort -1, 3, j, -0.5, -18.\nAnswer: -18, -1, -0.5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/(43\/(-101824)*-74).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - -2) + -1 - -5) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12390 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: Collect the terms in 13798 + 13793 - 27591 + 4*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4529839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 1379*o - 43066. Give k(-32).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000158326 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/(-5)*140\/(-8). Suppose -13 = -10*z + 27. Suppose s + v = z*s. 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: Calculate prob of sequence kq when two letters picked without replacement from {q: 6, k: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/3 (b) -4 (c) -1\/6 (d) 1\/2 (e) 0 (f) -2954\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 481006749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67.9 + 68. Which is the closest to s? (a) 0.1 (b) -0.1 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10 - 6*l + 5 - 15. Let a(p) = 6*p. Let w(t) = 4*a(t) + 3*x(t). Let c(z) = -14*z**2 + 0*z**2 + 13*z**2. Determine w(c(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 + 49 - 49. Let d(f) = 3*f + 4. Let w be -1 + (-17 - (1 + -4)). Let b(a) = -12*a - 15. Let k(h) = w*d(h) - 4*b(h). Determine n(k(i)).\nAnswer: 45*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 15 = -0. Let m(y) = -y**2 - 3*y + 4. Let f be m(-4). Suppose f - 1 = 2*b + p, v*p + 5 = 0. Are b and 0 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.182766ml?\nAnswer: 0.004182766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81918, 79696, 77460, 75204, 72922?\nAnswer: 70608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.41 greater than 8\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 4:24 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -159522*o**4 - 406*o + 130 wrt o.\nAnswer: -1914264*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 444507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywwwywyywyyyy. Give prob of picking 2 w and 2 y.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2771807 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 10474*g - 10475.\nAnswer: (g - 10475)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*y + (115*y - 303*y + 135*y - y - 1 + 1 + y + 0*y - 2*y + (y - 4 + 4)*(2 + 0 - 4))*(2 - 2 - 2).\nAnswer: 112*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*o + 1759 = 105*o + 5983. Sort 29, -1, o in increasing order.\nAnswer: o, -1, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 + (-27 - 7) - (-9 + 0)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by 313?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v + 10. Suppose 3*s + 13 = k + s, 5*k = -2*s + 17. Let j(q) = -2*q - 7. Determine k*o(y) + 7*j(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 10 = 2*v + 2, -3*v - q + 4 = 0. What is the second derivative of 4*c**v - 3*c + 2*c**5 - 4*c**2 wrt c?\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by -1027969\nAnswer: -54\/1027969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 180492 divided by -2?\nAnswer: -90246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g. Let a be 2\/(-7) + 32\/14. Suppose 2*c = a + 2. What are the prime factors of q(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**4\/12 + 3*z**3\/2 + z. Let g be x(-7). Is (203\/2)\/((-7)\/g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 8. What is the common denominator of c\/(-9) - 1820\/(-3960) and 99\/146?\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -1\/598498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11749411.\nAnswer: 41, 53, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from ptwaipiaawpwwppipp?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from {u: 1, t: 1, f: 2, x: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-2) - (-5)\/(-5). Suppose o = -5*y + r*o + 257, 0 = y - 3*o - 54. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24536056 divided by -4\nAnswer: -6134014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2914581 weeks in microseconds?\nAnswer: 176273858880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 4*a**2 - 3*a - 4. Let d be u(-5). Let h = d + -10. Let r be (-1)\/4 - 198\/h. Solve 2*t - 3*o + 0*o = r, t = o + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6*-1*(-6)\/(-1). Let n(t) = -2*t**3 - t**2 - 3. What is the smallest common multiple of n(i) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*i + 9694*i**3 - 84*i**2 - 17*i**2 - 9706*i**3 in the form w*i**3 + l*i + y + a*i**2 and give a.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, -2\/13 in descending order.\nAnswer: 8, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 + 30 - (-4 + 8)) + -1 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:07 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 6. List the prime factors of n(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16.5 in 0.5, -0.3, -5, 8\/3, 6\/25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2466 or 2467?\nAnswer: 2466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 62534.59cm in millimeters?\nAnswer: 625345.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/27))\/(y\/(y*y**(2\/7))))**(1\/63)\/((y*y**3)\/(y*y\/(y*y**0*y))*y**(1\/2)*y\/(y*y\/y**4)) assuming y is positive.\nAnswer: y**(-178147\/23814)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-105)*-5)\/(((-19)\/56)\/(10\/(-40)))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45210 is divided by 108?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3439\/14 or -246?\nAnswer: -3439\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 8. Let x be s(-6). Let f(p) = -2*p + 26. Let v be f(6). Calculate the greatest common divisor of v and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1430 divided by -110\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*t - 128*t - 39*t)*(t - 6*t + 0*t)*(0 + 0 + 1).\nAnswer: 690*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 272995320 and 8240.\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -711*p**3 + 456941*p**2.\nAnswer: -4266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10.911 in -0.5, -5, 3, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5, -2*d + 1730 = 5*w - 75. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -11*y + 3. Let p = -5 - -2. Let l be g(p). Let j = 4 + 5. What is the highest common factor of j and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 35*d**5 + 24620*d**4 + 229415*d**3 + 274070*d**2 - 41800*d - 111040 = 0.\nAnswer: -694, -8, -1, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -59. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4405*q**5 - 114*q**2 + q + 1?\nAnswer: -264300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**5\/4 + 4203*k**4\/4 + 1101444*k**3 - 5533520*k**2 = 0. Calculate k.\nAnswer: -2104, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*c + 1570, 3*c - 607 = 7*a - 5*a. Let z = 311 + a. Solve -7*h + 6*h = z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -295758990 divided by -306486.\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 11. Suppose 153 = -5*n + 448. Let f = n + -65. Give z(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240451 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(2) - 2*sqrt(18)) + -3 + 2)**2.\nAnswer: 10*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2473428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a + a + 4*a + (-2*a + 2*a + a)*(1 - 1 + 2))*((-7 + 4 + 1)*(2 - 2 + a) + 3*a + 0*a + 0*a) to q*a + k + w*a**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 21*q**2 + 19*q - 7. Suppose -118*b = -25*b + 1860. Calculate y(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105 - 17. Let c = v - -370\/3. Find y such that -14\/3*y**3 + 0 + 10\/3*y**2 + c*y = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.5 + 54.5. Let a = 120 + -116. Put a, -2\/9, y, -2\/7 in ascending order.\nAnswer: -2\/7, -2\/9, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -180 - -267. Let r = -85 + a. Solve -7 = -r*y - 4*t + 3, -3*t + 25 = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*v + 6832 = 0, -32*u - 4*v - 3431 = -33*u. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 1886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 115*p**2 - 3*p - 3. Let g(w) = 40 + 2*w + 2*w + 36*w - 1495*w**2. Let k(s) = -3*g(s) - 40*v(s). Let i(u) = -2*u**2. Give i(k(b)).\nAnswer: -26450*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 11:53 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20858 - -229435\/11. What is the closest to 1 in o, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269177725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r + 0*r + r)*(-1 - 5 + 2).\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 (base 11) in base 15?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dldl when four letters picked without replacement from dddlddl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 1:00 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*y + y, -2*y = -2*k. Suppose k*c = 7*c + 44. Let u = c - -22. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19*146.9.\nAnswer: -27.911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6237)\/77616)\/(1\/(-8)).\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 9:39 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -31*u**4 - 118*u**3 - 155*u**2 - 80*u - 8. Let s(r) = r**4 + r**3 - r**2 - r - 1. Let m(y) = j(y) + 4*s(y). Determine v so that m(v) = 0.\nAnswer: -2, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1213*p + 1212*p + 2 - 2425*p + p**2 + 2*p**3 to the form u*p**3 + g*p + y*p**2 + w and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbebbbbbbebbeebebbb. Give prob of sequence bbee.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.1. Let w = -5.9 - -0.9. Let k be 4\/4*(-6 + (-16)\/(-4) + 1). Which is the nearest to i? (a) k (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 445 - 308. Let m = 1085\/8 - a. Suppose 0 = 22*u - 26*u - 4. Which is smaller: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -3, 1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17316, -36, -3, 25 in decreasing order.\nAnswer: 25, -3, -36, -17316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-140)\/15)\/14)\/(-2). Which is the nearest to 0.99? (a) -0.2 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -76064 (b) -3\/5 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -278 + 281. Solve -m = g + 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from woawowoxwoywya. Give prob of sequence yyoa.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 183, 114, 45, -24?\n\"Answer: -69*y + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 1\/1744, -3\/4?\nAnswer: 1\/1744","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 14*y - 3 - y**2 - 7 - y. Let x be b(10). Solve -3*d + f - 13 = x, -2*d - 7 = 2*f + 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*b + 18. Let o(h) = h**2 + 3*h - 4. Let x be o(-4). Let p(d) = 6*d - 4*d + 3 + x. Determine p(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-3))\/1)\/(403\/3224)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**2 - 1\/4*b**4 + 2\/3*b**3 + 2 + 4*b. What is the units digit of x(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4, -6\/85 in decreasing order.\nAnswer: 4, 0.2, -6\/85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 575, -204, -1509, -3346, -5721?\n\"Answer: -m**3 - 257*m**2 - m + 834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.82 - -0.38. Let p = -3 + j. Which is the third smallest value? (a) -0.5 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -113849 or -113836?\nAnswer: -113836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*h + 31544, 4*a - 23645 = 18*h - 21*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380041 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 7.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6110 = 19*j + 6433. Let h = -65 - -46. Let g = j - h. Solve -c = l + c - 1, g*l - 2 = -3*c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddtttdtdtttttttttd?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5588590 by 38542.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -56. Put g, -1, 8 in descending order.\nAnswer: 8, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*k*w**3 + 4184*k*w**2 - 2*k - w**3 + 20904*w**2 with respect to k.\nAnswer: 5*w**3 + 4184*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - -6052875.\nAnswer: 6052853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2645 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 3*s**2 + 14*s - 1. Let d be h(13). Suppose -2*k = -i - 6*k + 935, -4*k = -3*i + d. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 37*q**2 - 2*q - 3. Let u be m(-2). Suppose 5*f + 44 - u = 0. Solve -5*t - 25 = 0, -3*r + 8*t = 5*t - f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665*p + 166*p - 732*p + 25851 = 0 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*p - 58*p = -16. Solve 4*v - 4*s + 32 = 0, 12 + 16 = -3*v + p*s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**5\/60 + 7*c**2. Let v(d) be the third derivative of -3*d**4\/8 + 2*d**2. Determine v(k(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 17*l**3 - 155122 + 155122 - 4*l**2.\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 7. Let o = 12.99948 + d. What is o rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 + -12?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/4)\/m**(-1\/7))\/((m\/(((m**(-2\/3)\/m)\/m)\/m*m*m))\/m**1) assuming m is positive.\nAnswer: m**(-65\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -164 * 3.2206\nAnswer: -528.1784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2)*1 - (-90)\/(-20). Let s(x) = 3*x - 2. Let o(l) = -15*l - 1. Let r(n) = g*s(n) - o(n). What is r(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 455*m**3 - m + 26. Let v be o(3). Suppose -g + v = 5*y - 1913, -y + 2853 = -2*g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 0 + 25\/12*j**4 - 7*j - 7\/2*j**2 - 3\/2*j**3. What is the units digit of z(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11224 or 11390?\nAnswer: 11224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g - 6. Let l be j(2). Solve l*y = 3 - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 555306051 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: Let u(c) = -c**2 + 7*c - 5. Let v be u(6). Let p(o) = -5 + o**2 + 4*o + 2*o**2 - o**3 - v - 7*o**2. Let a = -61 - -56. Calculate p(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0368553 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/((-1150)\/3975))\/((-8)\/(32\/(-3)))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011111111011 + 100011111011100?\nAnswer: 1110111111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbxzrrfbxbxxz. Give prob of sequence xx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2 - 7440*b + 29792 = 0.\nAnswer: -3724, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.42 - -30.420008804. Round r to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 32*z**5\/7 - 828*z**4\/7 + 1429*z**3\/7 + 270*z**2\/7 - 144*z\/7 = 0.\nAnswer: -3\/8, 0, 1\/4, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 2*o**2 - 2*o**2. Let b(c) = -10*c. Let t(x) = -3*x. Let i(a) = -2*b(a) + 7*t(a). What is d(i(l))?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7 + l - 17 - 1. Let x be s(20). Let j(g) = g**3 + 5*g**2 + g + 1. Determine j(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1322*v = -1967*v - 6450 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 45*m**5 + 213*m**4\/2 - 15*m**3 - 225*m**2\/2 - 30*m + 6 = 0.\nAnswer: -2, -1, -1\/2, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -29, -17, -10, 2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*z + 6*z + 7062*z**2 + 5461 + 9*z**3 - 7061*z**2 + z wrt z?\nAnswer: 27*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5621696 divided by -544\nAnswer: 10334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 529161966, 529161968, 529161970, 529161972, 529161974, 529161976?\nAnswer: 529161978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.887 - -0.087. Let u = 1.8 + d. Let a = -9.0000011 - u. What is a rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3407 - 3407.3. Which is the nearest to -0.025? (a) -3 (b) -2\/9 (c) -2\/7 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -837, -885, -965, -1077, -1221, -1397, -1605?\nAnswer: -1845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*f. Let q(l) = l**3 + l - 4. Let z be q(f). Let h(c) = 7*c**2 - 2*c - 9. What is the units digit of h(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -148207*f**2 + 200916?\nAnswer: -296414*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 140 times -0.4\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195 + 192. Is 3 + (2797 - h - -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*t + 924. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -40, 0.4, 6, 1, -3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 2098*r + 2554*r + 1.\nAnswer: 4652*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - -14.4. Let n = t - 18. Put n, 1, 3\/5 in ascending order.\nAnswer: n, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 386\/6*(-96)\/32. Suppose 3*o = g + 108, 5*g + o + 367 = g. Let s = g - k. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 8*j + 5*t - 503, -3*j + 1537 = t. List the prime factors of j.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -12. Factor 4*t**4 + 48*t**3 - 2*t**5 - 50*t**u + 0*t**4.\nAnswer: -2*t**3*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -n + 3*d - 12, d - 115 = 45*n - d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-5))\/(-97 - -100). Is c >= -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000544905067 to 6 decimal places.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(343) - (sqrt(84)\/(sqrt(12) - sqrt(48)))**2.\nAnswer: -7*sqrt(7) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**6\/480 - b**5\/60 + b**4\/32 + 234*b**2. Factor p(q).\nAnswer: q*(q - 3)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7701594?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233036, -232336, -231636, -230936, -230236?\nAnswer: -229536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3430 and 34433.\nAnswer: 16872170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 21.8. Let w = z - -0.79983. Round w to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r**3 + 9*r + 6. Let m(s) = s**3 + s**2 + s + 1. Let i(l) = j(l) - 5*m(l). Let w be i(4). Is 98 - (2 + w + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 2:08 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87509\/193 >= 452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50908 and 66.\nAnswer: 152724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29911 (b) 24 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*n**2 - 384*n - 60.\nAnswer: 3*(n - 10)*(13*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 41930147?\nAnswer: 41930147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 - 70*o + 309. Let x be s(-27). Let j(p) be the second derivative of -1\/2*p**4 - 8\/3*p**3 + 0 + 1\/5*p**5 + x*p - 3*p**2. Solve j(l) = 0.\nAnswer: -1, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1098 + 535. Let t = b - -1037. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67607385 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4.4, 0.3 in ascending order.\nAnswer: -10, -4.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.10301\nAnswer: 0.030903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = 4*v - 7*v - 2*x + 8, 5*x = 12*v + 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279231.\nAnswer: 61, 67, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.746 * 1893.\nAnswer: -14663.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/7))**(-8\/3)\/(c**(-1))**(-1\/26))**(2\/3) assuming c is positive.\nAnswer: c**(-437\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 4. Let j(g) = -14*g**2. Calculate j(z(k)).\nAnswer: -56*k**2 - 224*k - 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5609000 rounded to the nearest one hundred thousand?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/2 - -12*3\/(-72). Solve a + 136 = -28*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -20, 0.38, 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a**3 + 11*a**3 - 1 - 3 + 6.\nAnswer: 26*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1039, -2077, -3115?\nAnswer: -4153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kiik when four letters picked without replacement from iiniikiinik.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(6300))\/(sqrt(729)*2) - ((sqrt(112)*-1 + sqrt(112) + sqrt(14)\/sqrt(2)*6 + sqrt(7))*-4)**2) + 0.\nAnswer: -5488 + 5*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-28)\/(-7)*(-110)\/8. Let k = 58 + f. Suppose 0 = 4*j + 2*v - 74, -2*v - 115 = -5*j + k*v. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1259 and 2?\nAnswer: 2518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from qrhlrrhlrhlhhlhlll.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4 - 1 + 9*j + 0 + 0. Let z(r) = 54*r - 258. Let y be z(5). Is x(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, j: 3}. What is prob of sequence ujjj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 4920, 19.41?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7359257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7*n**1)**(-47)*(n**(-5\/3)\/(n\/(n\/n**(2\/3)*n)))\/(n\/(n*n**(4\/7))*n**(-2)\/n) assuming n is positive.\nAnswer: n**(-7849\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/6)\/((-442)\/(-306)))\/1.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769 is divided by 99.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*z**5 - 34*z**2 + 35*z**2 + 2 + 7*z**5)*(2 - 3 + 2).\nAnswer: -51*z**5 + z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-189)\/(-252) + 2\/(-24). Let o = 5 + -4.9. Let g = 0.085 + -2.085. What is the nearest to o in g, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 138 = -34*l. Let i(m) = m**2 - 7*m - 1. Let u(p) = 3*p**2 - 14*p - 2. Let q(g) = 5*i(g) - 2*u(g). What is the units digit of q(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-736)\/(-64))\/23)\/((-38)\/(-8))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-37 + (0 - -26)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 143 = -5*v. Let b(a) = 1152*a**3 - 12*a**2 + 12*a + 8. Let s be b(v). Round s to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -145.8 + 145.53. Sort -0.4, -5, -0.3, k in descending order.\nAnswer: k, -0.3, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17497 > -17484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 598450 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 7*c + 5. Suppose -78 + 24 = -3*d. Is 15 a factor of d + 1*(-1 - c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by -2*5\/(-2) + 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 80*b**2 + 26*b - 37. Is k(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g - 5 + 3 - 17*g - 8*g.\nAnswer: -8*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from {u: 3, i: 7, g: 7, c: 3}?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f**3 - 6*f**5 - 21*f**4 - 4*f**2 + 33*f**5 + 22*f**5 + 15*f**3 = 0 for f.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 227 = 4*a - 21, 236 = 4*a - 4*p. Calculate the highest common factor of a and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 1\/9*m**3 + 0*m**2 + 30*m + 0 + 1\/6*m**4 - 7\/120*m**5. Determine z so that r(z) = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 211*t**5 - 182*t**2 wrt t.\nAnswer: 12660*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 535 and 184.\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -180 + 68 + m + 61 + 53. Let t(v) = 5. Let p(h) = -1. Let o(u) = -4*p(u) - t(u). Let a(f) = -b(f) - 3*o(f). Give a(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 104 = -3*u + 181, 5*g - 5*u = 330. Suppose 8 = 2*c, 0*c + 2*c = o - 10. Calculate the remainder when g is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.062563 seconds to minutes.\nAnswer: 0.18437605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 11*j**2 + 13*j + 14. Calculate the smallest common multiple of 2 and i(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 4*u - 5. Suppose 30*l - 39 = 33*l. Let p(r) = -r**2 - 16*r - 22. Let n be p(-14). Let z(k) = -2*k**2 - 9*k - 11. Determine l*t(s) + n*z(s).\nAnswer: s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28451 - 28446. Put f, -29, 44, 2 in ascending order.\nAnswer: -29, 2, f, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbblbl. Give prob of sequence ll.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 13 + 1 + -18 - (2 + 2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -104, -5 in decreasing order.\nAnswer: 4, 0, -5, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242723697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/((-1120)\/21)*-2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/121136 and 1\/12931?\nAnswer: 23379248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(2 - -1) - -2. Let r(i) = i**2 - i - 1. Let d(v) = v**3 + 9*v**2 - 10*v + 1. Let h(s) = k*r(s) + d(s). Suppose 5*t = -47 + 7. Determine h(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j + 2*j - j - 8*j**2. Determine u(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13890 - -13889.9542. Is k bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418*x + 2218 + 416*x - 3194.\nAnswer: -2*x - 976","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6*w**(-1\/3)\/w)**(-2\/61)*(w*w*w**(-2\/3)*w)**(16\/3)*w**0\/w*w**(-3) assuming w is positive.\nAnswer: w**(4552\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716699895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5949423 millilitres in litres?\nAnswer: 0.0005949423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 - -1ee7?\nAnswer: 1ec5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -11*p - 43. Let f be u(-4). Which is greater: f or 2\/215?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -159*w + 80*w + 81*w - 228 to the form n*w + g and give g.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, x: 2, c: 1, m: 4}. Give prob of picking 2 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*a + 61 = 0, 76 = 2*x + 3*a + 5. Find the third derivative of -27*f**2 - 43*f**5 + x*f**5 + 7*f**6 wrt f.\nAnswer: 840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 26*d + 116. Let q be i(-4). What is the nearest to 0.2 in -1, -0.4, q, -33?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1060261173.382 - 1058016349. Let x = w + -2244773.78200371. Let g = 50.6 - x. What is g rounded to 7 dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/64 and 25\/9544?\nAnswer: 76352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9370704.\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3134 at least as big as 3037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27781900 rounded to the nearest one hundred thousand?\nAnswer: 27800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 + -24)\/(6\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (391\/(-115))\/(2\/(-10)) - -3. Suppose -11*r - 189 = -z*r. What is the least common multiple of 27 and r?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - 2*u**2 - u - 1. Let c be q(-1). Let o(p) = -2*p**3 - 8*p**2 - p - 2. Let v be o(c). What is the nearest to v in -1\/2, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29.81 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 799 and 265268.\nAnswer: 265268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 4*j + 2*j**2)*(j**3 + 2*j**3 - j**3) + 0*j**5 - 4*j**5 + 3*j**5 - 23*j**2 + 23*j**2 - 15*j**5 - 34*j**5 + 3*j**5 + j**5.\nAnswer: -42*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157\/3 - 53. Let y = 104 + -316\/3. Let k(p) = 2*p + 2. Let f be k(-1). Which is the nearest to f? (a) -4 (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - i**2 + 7*i + 5. Let k be v(-5). Let r = 73 - k. Suppose r*q = -0 - 0. Solve q*u = u + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 3*r**2 + 5 + 0*r**3 + 0*r**3 - 3*r. Suppose 0 = -4*y + 19 - 3. Suppose 3*i - 8*v + 3*v + 2 = 0, 0 = -y*i + 4*v - 8. Calculate m(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1097*-5.68875.\nAnswer: -6240.55875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 9*y + 1 + 2 - 2*y.\nAnswer: -11*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4.4248 - -0.1196\nAnswer: -4.3052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -8 - (0 + (0 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 242\/(-363) + 168\/9 + 0\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -52*u - 1. Let c = -53 + 48. Let z be v(c). Suppose 61 = -10*b - z. Which is smaller: -33 or b?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - 13. Let c = 124 + u. Let l = -74.000039 + c. Round l to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 3*h**4\/8 + 3*h**3 - 62*h**2 - 2*h. Calculate x(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 2*w. Give t(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -109252*r**3*u + 126324*r**2*u wrt r?\nAnswer: -655512*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*s**2 - 56*s**2 + 2*s**2)*(14*s + 25*s - 16*s).\nAnswer: -1679*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(24)\/sqrt(256) - sqrt(6)).\nAnswer: -8*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 234, 472, 724, 996, 1294, 1624, 1992?\n\"Answer: i**3 + i**2 + 228*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d4 (base 14) in base 4?\nAnswer: 11332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 2*i**2 - 9*i + 17. Determine n(5).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10122102 + 1212?\nAnswer: -10120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c + k + 8 - 5 = -23*c, 0 = -5*c - 4*k - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 18, 4\/3, -2\/15, -0.048, -5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -h + 328, -2*p + 1875 - 208 = 5*h. Suppose -15*t + 12*t = -h. Does 37 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 111252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiniiiiiiiiiniiiiii. What is prob of picking 3 i?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3466471, 6932941, 10399417, 13865899?\n\"Answer: 3*p**2 + 3466461*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times -0.3764?\nAnswer: 10.1628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*n = 81, 3*b + 3*n = -2*n + 131. What is the greatest common divisor of b and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -609*p**2 - 3678*p - 133. What is a(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 774920 and 1704824.\nAnswer: 8524120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 298*j + 154*j - 2*j**2 - 2*j**3 + 324*j**4 - 457*j in the form u*j + a*j**4 + x*j**2 + d + m*j**3 and give a.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1108\/(-554))\/(3\/(-4) + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 24 = 3*l, -3*l - 4 = a - 0*l. Calculate the remainder when 43 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r - 158*r**2 + 159*r**2 - 5*r + 14*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9477*n - 2445*n + 29416*n to the form x*n + c and give x.\nAnswer: 17494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**3 + h + 25. Let u(d) = -19*d**3 + 4*d + 99. What is -9*r(q) + 2*u(q)?\nAnswer: 7*q**3 - q - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kycnu. Give prob of picking 1 u and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbz. What is prob of sequence zb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 2316080?\nAnswer: 2316079.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-28)*(-2135)\/(-6100)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 297279521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -132 + 724. Suppose -138 = -3*k + 3*p, -5*k - 5*p + s = 36. What is the remainder when k is divided by 2\/(-10) - 273\/(-15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165300702 divided by -5.\nAnswer: -165300702\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 10*b**2 - 26*b + 3. Let k be o(-5). Let j be (6 + -11)*(k\/(-220))\/(-1). What is the nearest to -4 in j, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - (0 + (15 - 3 - 33) + 17).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/7589809 or 0?\nAnswer: -20\/7589809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -1b?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 31*q**2 + 56*q - 32. Determine c(-29).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 - t**3 + 0*t**3)*(3 - 3 + 1)*(-12*t - t + 6*t) + t**4 + 0*t**4 + 3*t**4.\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - 16*c + 7. Let p be o(-7). Suppose -4*a + 11*a = -p. Let y be 2\/(-66)*a\/(-2). Is 1 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 68 - 80 - 2*h - 29*h + 3*h**2. Calculate u(10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000223 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 11 = j, 5*j + 5*l - 15 = 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + -5*sqrt(60))\/(2*sqrt(5)*4).\nAnswer: -9*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 76612251 - -20?\nAnswer: 76612271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256848 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -37, -25, 3, 53, 131?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*k**3*p**4 + 3*k**3*p**2 + 25*k**2*p**2 - 9*k*p**3 wrt p.\nAnswer: 120*k**3*p - 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 189.316.\nAnswer: 191.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3568*g**5 - 10*g**4 + 68*g**3 - 20009653*g**2?\nAnswer: -214080*g**2 - 240*g + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, 27, 82, 191, 372, 643?\n\"Answer: 3*b**3 - 2*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 164828 a multiple of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Let j = 27.2 + -27. Suppose -b - s - 2 = -5, 5*b = -s + 23. What is the closest to t in j, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 393920.3 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 5*o - 2. Let z be n(-3). Find the third derivative of 151*h**4 - 7*h**2 - 6*h**6 - 151*h**z wrt h.\nAnswer: -720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, a: 1, c: 4, n: 1, b: 1}. Give prob of sequence ancc.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.307 times -0.4\nAnswer: 0.1228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 4, 2\/61, 3.9, 8, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 - 41. Let d = -44.0000145 + v. What is d rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -411, -962, -1745, -2760, -4007?\nAnswer: -5486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + n = 0. Suppose -4*j = -2*f + 24, 0*f - 2*f = -2*j - 14. Differentiate 7*w**f - 21 + n + 0 wrt w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 10 + 10 = 0. Suppose -u + 4*b + x*b = 3, -5*u = b - 6. Let i(j) = j**2 - 4*j. Let w be i(4). Sort 6, u, w, -2 in increasing order.\nAnswer: -2, w, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1344683615*d - 1344683615*d - d**2 + 3*d**2 + 99 - 99.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 1368?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1954*h**2*n**3 + h*n**3 - 143*n**3 wrt h?\nAnswer: -3908*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4639578?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 14. Let d be (-46)\/x - (-18)\/(-99). Solve -4*c + i + i - d = 0, 2*i + 4 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 20.32. Let n = h + 0.12. Are n and -0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53377716 take away 1810.1?\nAnswer: -53379526.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -925\/244 + 5\/122. Let j = n - 7\/4. Calculate the common denominator of 45\/13 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-14) - 212\/7 and (14\/(-315))\/((-1)\/145).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 - 59. Let d = t + 46. Let s = d + -21. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 7081*i**3 + 7091*i**3 + 0*i.\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.98265400887 take away 0.03?\nAnswer: 23.95265400887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - g - 986 + 938 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 - 2 + 2)*((487 - 487 - 40*w)*(-1 - 4 + 0) + (-2 - 2 + 2)*(-1 + 1 - 2*w))*(-2*w + 4 + 0 + 0) to f*w**3 + l*w**2 + q*w**4 + i + y*w and give q.\nAnswer: 816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**6\/180 + b**3\/3 - 2. Let c(k) be the third derivative of m(k). Let a(w) = 2*w**2. What is a(c(d))?\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 28*a. Give l(-2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3)*-1*1. Let h = -55\/402 + -2\/67. Which is the closest to -0.5? (a) y (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*x = 352*x + 620 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 13*f**4\/4 - 3*f + 17. Let p(k) be the first derivative of g(k). Let s(w) = w. Calculate p(s(h)).\nAnswer: 39*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219439489?\nAnswer: 37, 199, 29803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16454 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -5*d**4\/12 + d**3\/2 + d**2 + d. Let v be q(3). Suppose 1095*y - 1887*y = 3204*y + 135864. Is y > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**5\/5 - 5*s**4\/3 + 14*s**3\/3 - 6*s**2 - 15*s. Find z such that x(z) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*k - 94*k = -a - 3, -5*a - 2*k = 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -1014651.\nAnswer: -1014651.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -5\/3 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1569054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 747164 is divided by 1086?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 7*l**2 + 18. Let q be y(6). Let u be ((-4)\/(-4 + 2) - -3)*q. Let n be 15\/u + 1\/(-2). Sort 1\/3, n, -3, 0.1.\nAnswer: -3, n, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 1, -1 in descending order.\nAnswer: 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 1bdba?\nAnswer: -1bdbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.2085?\nAnswer: -0.0417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6743527*s. Let d(g) = 2*g. Give d(h(n)).\nAnswer: -13487054*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443722840.\nAnswer: 2, 5, 11, 31, 32531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + b - 1. Let v(z) = -2*z**2 - 4*z + 5. Let r be 2*(-15)\/12*((-138)\/(-30) - 3). What is r*o(c) - v(c)?\nAnswer: -2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -262, -452, -662, -898, -1166?\nAnswer: -1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 963.5363t to kilograms.\nAnswer: 963536.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -3*v + 2*g, 5*g - 32 = -3*v - 0*g. Suppose v*o - 25 = 9*o. Which is smaller: 17\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 + 36*d**2 + 29*d - 28. What are the prime factors of b(-16)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147 by -3.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/4240 and 81\/1060.\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p - 52. Let t(q) = 7*q - 53. Let o(f) = 6*a(f) - 5*t(f). Let m be o(6). Put m, 2, -7 in increasing order.\nAnswer: -7, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*x**2 - 17*x - 12*x + 29*x.\nAnswer: -188*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 519582 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10340044 - 43?\nAnswer: -10340142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -21 + 3. Let n be z\/17 + 3393\/663. Suppose -r - 5 + 30 = 5*m, 0 = -3*m - 5*r + 37. Solve -n*l = -2*v - 12, l - m*l + 9 = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21011 (base 3) to base 11.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10433 is divided by 1277.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45202260 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, g: 7}. Give prob of picking 1 g and 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 742?\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, i: 7, e: 1, q: 5, j: 1}. What is prob of picking 1 w and 1 q?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 53. Suppose -2*v = 6*v - 120. Let g(q) = -6*q - 8*q + v*q. Calculate x(g(a)).\nAnswer: -a + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47058.616 - -47280. Let s = -221.283991 + u. Let p = s + -0.1. What is p rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*b = 26, -267 = 3*p - 3*b - 285 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/6 + 87938620*a\/3 - 3866600443752200\/3.\nAnswer: -(a - 87938620)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(622 - 175*q - 622)*(1 - 1 + q**3).\nAnswer: -350*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231.50913 months to millennia.\nAnswer: 0.0192924275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 40*s + 131. Let w be i(-16). Solve 3*b = -3*q + 6, b - 4 = w*q - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = 2*t - 4*l, t + 3*l - 228 = -310. Put 4, -1, t, 5 in ascending order.\nAnswer: t, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10700 or -10696?\nAnswer: -10700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12000 + 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 434.6987 millilitres in litres?\nAnswer: 0.4346987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63*f**2 + 350778*f - 33408.\nAnswer: 3*(f + 5568)*(21*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5a5c9 (base 14) to base 10\nAnswer: -220677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*i + 37*i - 100*i)*(0*i**3 - i**3 + 3*i**3).\nAnswer: -58*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/1541 - 229579\/9246. What is the common denominator of a and -40?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 292 + -583\/2. What is the closest to o in 0.09, 1, -0.2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 62 = 118. Let o = g + -2. Let c = 8 - o. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 3, g: 1, u: 1, b: 1}. What is prob of picking 1 s and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1892, 14376, 48028, 113432, 221172, 381832, 605996, 904248?\n\"Answer: 1764*b**3 + 136*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from {g: 1, k: 6, n: 2, o: 2, w: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*g*l**3 + 90*g*l**2 - 2*g*l - 4*g + 13356*l**4 + 1035078*l wrt l?\nAnswer: -30*g*l + 180*g + 160272*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5774 (base 12) to base 13\nAnswer: 457c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*l + 10964*l**2 - 10963*l**2 + 154*l as d + a*l**2 + q*l and give q.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmmbxttbmtjxbmmebbx. Give prob of sequence xbjt.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 13 + i**2 - 14 + 51.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61563*a + 30779*a + 30780*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, 5, -91, 3.5, 0 in ascending order.\nAnswer: -91, 0, 1\/10, 3.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(5) + 0)*3 + 3 + 3)**2.\nAnswer: 78 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (305\/(-10) + -5 - -33)\/((-4)\/(-120)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhhoh. Give prob of picking 3 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35473090 is divided by 866?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2094*j*n**3 - 34*j*n + 2*n**3 - 110*n**2 wrt n.\nAnswer: -12564*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - -13.4. Let f = t - 13.4. Is f greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -828 - 1?\nAnswer: -829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 162\/90 - 4\/(-5)*-1. Let g be ((-4)\/(-8) + r)*(-64)\/(-12). What is the greatest common factor of g and 236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21410232 (base 5) in base 12?\nAnswer: 8b123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**3 - 921*q - 411.\nAnswer: 3*q**2 - 921","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0*g)\/g*g**(3\/2))\/((g\/g**(-5\/6))\/(g\/g**(-1\/3)*g)) assuming g is positive.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/24 + (-24660)\/96. Let k = 373\/2 + v. Is -71 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -5238?\nAnswer: 5237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502077 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w\/w**(-4))\/w*w)\/w)\/(w\/w**(-3\/23)))**19)**(6\/25) assuming w is positive.\nAnswer: w**(7524\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156\/(-3757)*(-39)\/16?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 50*q = -47*q - 33, 2*z - 5*z + 13*q - 132 = -49 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l - 4. Let i be x(2). Let h be i\/39 + 72\/39. Suppose d = -0*d + 3. Which is the third smallest value? (a) h (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/2056 and -25\/4112?\nAnswer: 4112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5 - 7. Suppose 3*i + 5*b + q = 0, -6 = 4*i - 2*b + 4. Let c = 2\/113 + -347\/452. Which is smaller: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -x - 0*x. Let z(b) = 2*b**2 + 8*b + 6. Let f be z(-7). What is the highest common divisor of f and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838 is divided by 213?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 15. Let j(f) = 0 + 3 - 13*f**2 + 13 - 16*f + f**3. Let w be j(14). Is 9 a factor of q(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24895163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - f - 2. Let z be w(3). Let n(j) = -j**3 + 5*j**2 + 9*j - 8. Calculate the remainder when n(z) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 8 = l. Does 3 divide 9*(33\/(-9) - l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -511, -745, -977, -1207, -1435?\nAnswer: -1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52070\/(-18) - 8\/(-36). Let c = g + 2901. Let r = -2243 - -9031\/4. What is the common denominator of c and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10996805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2\/31, 3, 0 in decreasing order.\nAnswer: 3, 0, -2\/31, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 3) in base 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 1\/7 (c) 61 (d) 0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06516 + -28.02916. Let b = 127 - 99. Let r = w + b. What is r rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -15*u + 21*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + y**2 - y + 2. Let v be c(0). Suppose 2*b = k + 5*b - 20, -3*b = -5*k + 10. Suppose -6 - 14 = -k*x. Put x, 0, v in ascending order.\nAnswer: 0, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvp when four letters picked without replacement from {p: 3, k: 4, v: 10, q: 2}.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4*(-483)\/(265167\/69540)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*o - 94 = 449 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = s - 5*h, 3*s - 5*h + h = 29 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sooo when four letters picked without replacement from ssososossssoss?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165718 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 271419*h + 461. Is n(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -215 - -4300005?\nAnswer: 4266460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**4 - 26*h**4 + h**4)*(4 + 75 - 5).\nAnswer: -2072*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31339500 to the nearest integer?\nAnswer: 5598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/30*-10)\/((-2)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10*f**2 + 20. Let g(t) = -t**2 + 1. Let x = -3125 + 3065. Determine x*g(h) + 3*v(h).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34727050 or 34727052?\nAnswer: 34727050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10725\/14 + -1547\/2. Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(40\/5)*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20203, 37277, 54351, 71425, 88499, 105573?\nAnswer: 122647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1113\/(-212))\/21)\/((-2)\/(-62)).\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 42 = 3*u + 18, 5*n = -20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7305871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 6*y - 4. Let i be r(5). What is the second derivative of 9*w - i*w**3 + 16*w**3 + 4*w - 5*w**4 wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 61*k**2 + 1935*k - 96. Give p(23).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10\/j)**(-3\/28) assuming j is positive.\nAnswer: j**(-27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 100391552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - f + 2. Let a be k(-2). Solve 0 = -a*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9993*u + 30245*u - 9844*u - 10127*u as r*u + p and give r.\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 9:09 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and (1516\/(-1895))\/((-28)\/65 - 6\/(-15)).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 9 = 5*w. Let j = w - 2. Let a(d) = -d**3 - 3*d**2 + 5*d - 6. Is a(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11))**46 assuming y is positive.\nAnswer: y**(-506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184099 is divided by 15334.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453138 is divided by 2516.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l - 1. Give y(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041353 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 3*a - 8. Let r = a + 4. Suppose 2*i + 2 - 4 = -r*z, 2*z = 0. Do i and 4\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1197.96, -5, 0.3, 1, 3\/7, -4?\nAnswer: 1197.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 3.9. Let w = -3.8 - u. Let z(o) = -3*o + 31. Let s be z(9). What is the closest to w in -1\/3, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1443402444 (base 5) to base 10.\nAnswer: 3887874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -15413*i - 693588. Give l(-45).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*w + 45 + 39 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3920 is divided by 2051.\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (140\/30)\/((-1)\/(-153)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -914420*w + 914386*w + 204 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14961*p**4*q**2 + 98*p**2*q**2 - 2*p**2 + 6*q**2 + 2 wrt p.\nAnswer: -359064*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 123 - 56. Let h(f) = -1633*f - 1632. Calculate the remainder when b is divided by h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 388606?\nAnswer: 2\/194303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/15*(6\/15)\/(196\/15435).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - 9)*2\/4. Suppose d = -33*f + 41*f - 360. Calculate the remainder when f is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.03 (c) -2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 31. What is the remainder when 85 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/17 - 865026*y**4\/17 - 93595566270*y**3\/17 - 13366482908350*y**2\/17 = 0.\nAnswer: -216185, -143, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) 3 (c) 25 (d) -0.047\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -1.2.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 + 3228\/(-168) + -3)\/(-3).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.024 + -0.024. Which is bigger: b or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - 66\/(-6)) + -8. Let s = -0.0115 - -5.0015. Let b = 0.01 + s. Sort 1, b, -1, h in descending order.\nAnswer: b, 1, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7627, 7626, 7625?\nAnswer: 7624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000340719 to 6 dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 40572?\nAnswer: -40571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187) + ((sqrt(187) - -1*sqrt(187))*4 - sqrt(187)) + sqrt(187)))\/((sqrt(121)*4)\/sqrt(11)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*k - i - 2, -3*i = 5*k + 5. Is k != -9\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 9*r**7\/7 - 13*r**3\/3 + 2. What is the third derivative of n(l) wrt l?\nAnswer: 1080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 162052?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1)*40\/(-120). Let v(i) be the first derivative of -i**3\/3 + 8*i**2 + 22*i + 10. Let x be v(17). What is the nearest to 4 in l, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 209871080 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o = 0. Let l = o - -14. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 + 7*k**2 - 5*k + 7. Let p(b) = b**3 - 5*b**2 - 7*b + 5. Let x be p(6). Let a(w) = w**3 + w**2 - w + 1. Calculate x*s(o) + 5*a(o).\nAnswer: 3*o**3 - 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 2*n + 1. Let j be d(3). Let p = -14\/15 + 1\/3. Which is the closest to -0.1? (a) p (b) j (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-13)\/39)\/(2\/(-12)). Suppose -k*q = -5*q - 870. Let v be (-4)\/(-6) + q\/(-15). Is 19 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6, -14, -32, -66, -122?\n\"Answer: -l**3 + l**2 - 4*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -48*w - 2. Let d = 11 + -13. Let g be u(d). Suppose -2*k**4 + 2 - k + g*k**3 - 90*k**3 - 3*k = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 31418*x + 3. Let v be i(-7). Let h = 139923 + v. Round h to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 9:58 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-600)\/(-2))\/3 + 2. Calculate the remainder when 63 + (3 - (1 + -1)) is divided by 6\/9*y\/4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i + 15*i = 82*i - 344 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 172, 2469, 9014, 21931, 43344, 75377, 120154, 179799?\n\"Answer: 354*d**3 - 181*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4.4 - -104714.07\nAnswer: 104709.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2 + w + 1. Let c(b) = 19*b**2 + 6*b + 5. What is 2*c(i) - 11*d(i)?\nAnswer: -6*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, z: 1, e: 8}. Give prob of sequence epp.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, t: 3}. Give prob of picking 2 z.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -13*i + 89. Let u = 10 - 23. Is 5\/(i\/(-22))*u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 34, -2\/5, -0.131?\nAnswer: -0.131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + f. Let h(a) = -2*a**3 + 2*a**2 + 6*a - 1. Suppose -29*s = -24*s + 5. Let k(j) = s*h(j) + 6*x(j). What is k(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < 1365289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(14\/5)*k)\/(k**(3\/4)*k) assuming k is positive.\nAnswer: k**(41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118355899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 806\/54 + 126\/1701 + 10929\/(-729).\nAnswer: 2\/243","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 161 and 146832.\nAnswer: 146832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*d - 3740646 = -17*d. List the prime factors of d.\nAnswer: 2, 3, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 7*o - 4. Let a(w) = 11 + 146*w**2 - 22*w + 8*w - 7 + 2*w**3 + 17 - 150*w**2. Let t be a(3). What is h(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 20*a. Let q = 5 + -3. Let c be (0 + q + -3)*-17. Let x(w) = 7*w. What is c*x(s) - 6*t(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(4\/(-1) + 12). Solve 3*p + l = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1240 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 255904657 to the nearest integer?\nAnswer: 15997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*x - 16, 3*z - 18 = -6. Does 2 divide 1 + 6 - (x - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178054673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39461 + -39457. Let b be (-4)\/(8\/(-6)) + 7. Solve u = -b*t + 8*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Let o(t) be the first derivative of -3*t**2\/2 + 4*t - 200. What is -b(a) - o(a)?\nAnswer: 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 23 + 7 = 0. Let t(k) = 7*k**2 + 5*k - 5. Let m(z) = 8*z**2 + 6*z - 6. Let q(b) = p*m(b) - 6*t(b). Let j(g) = -3*g. Calculate j(q(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 19\/4 of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 29, -3, -53, -127, -231, -371, -553?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71297*d**3*s**3 - 33*d**2*s**2 + 149*d*s**3 - 8*d*s**2 - 6*d*s + d + s wrt d.\nAnswer: -427782*d*s**3 - 66*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -191.27 + 193.27. Let r = -0.5 - 0. Let c = 0.9 + -0.5. What is the closest to j in -0.2, c, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l - 3*l + l + 10*l**2 + 0*l = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13469.\nAnswer: 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(5\/6))**(10\/13)\/(t**(-2\/23)\/t**14) assuming t is positive.\nAnswer: t**(12751\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 989231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 29, -13, 3, 2, 22.1, -2, 4?\nAnswer: 22.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + 1 + 1 - (-3 + 1*sqrt(176))**2.\nAnswer: -183 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 11:52 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*m**3 + 218*m**2\/15 - 4*m\/15.\nAnswer: 2*m*(5*m + 2)*(57*m - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a hour in minutes?\nAnswer: 2310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k = -7*k - 229593. Let p = 19031 - k. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 8:49 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37391 - 10292 = -4*z + a, -4*z - a = -47685. Calculate the remainder when z is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b. Let i(c) = 444867*c**2 + 3*c - 3. Determine i(a(f)).\nAnswer: 11121675*f**2 + 15*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1274 by -7.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61908729 or 309543648\/5?\nAnswer: 309543648\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24461 + 61469 = 6362*a - 3138 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -28*x - 272. What is u(0)?\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, 0, -13, -6 in ascending order.\nAnswer: -13, -6, 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = -2*d + 33. Suppose 6*q - 27 = d*q. Let k be -3 + (-1 + 0)*-1*q. What is the greatest common divisor of k and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96321893 is divided by 572?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 + 67. Suppose 2 = -3*w + w. Which is the biggest value? (a) q (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -800, -1244, -1050, 94, 2500, 6480, 12346?\n\"Answer: 52*s**3 + 7*s**2 - 829*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1516771.\nAnswer: 1516771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 62.4707.\nAnswer: -249.8828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/285 and -41\/228.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -16973.6 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.77115 and -8838.\nAnswer: -8838.77115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29253 divided by -1.\nAnswer: -29253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, -126, -498, -1012, -1668, -2466, -3406?\nAnswer: -4488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14.3951 times -3022\nAnswer: -43501.9922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 > -10\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6525702, -26102831, -58731380, -104411349, -163142738, -234925547?\nAnswer: -319759776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, f: 1, s: 3, m: 4, l: 3, z: 3}. What is prob of sequence sz?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 10:49 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from twttmvprmttrmtmwtmvt.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -13. Let a = 6 - s. Sort a, -5, -1 in descending order.\nAnswer: a, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozkzkzzezowezwwbwew. Give prob of picking 1 b and 1 o.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 481498 + 6*l**2 - 481498 - l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 710, 731, 772, 833, 914, 1015, 1136?\n\"Answer: 10*l**2 - 9*l + 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -7*a - 309*o + 312*o, a - 21 = -4*o for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d**2 + 327*d + 28. Calculate w(-37).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2460 divided by 41?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 16. Let b be (18\/12)\/(6\/28). Let d be o(b). Let r be (-3)\/((-3)\/d) - -2. Is 0 != r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9683, -10265, -10837, -11393, -11927, -12433, -12905?\n\"Answer: u**3 - u**2 - 586*u - 9097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, -1\/86, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 228\/463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 + 18*x**3 - 45*x**2 + 24*x.\nAnswer: 3*x*(x - 1)**2*(x + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-16))\/(((-2)\/(-4))\/1). List the prime factors of ((-25)\/(-20))\/(y*(-2)\/(-1080)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 28*l + 72. Calculate a(26).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 4 = 6*s. Suppose -4*d - 4*z + z = -14, -d + s = z. Suppose -m - 3*w = -59, 5*m - d*w = -4*w + 256. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkxvvvkvrvxmvxrvrk. What is prob of sequence kxx?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -383, -1085, -2247, -3863, -5927, -8433?\n\"Answer: v**3 - 236*v**2 - v - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 4 - (-38 - -67) - (1 - 6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18748183?\nAnswer: 173, 307, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 21832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1020\/7 - -146. Let t = 2\/115 + 109\/345. Suppose 201 - 252 = -51*z. What is the closest to r in z, -7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 w when three letters picked without replacement from {w: 1, y: 14}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -143520 - -143736. Let l(c) = 2*c**3 - 2*c**2 - 2. What is the smallest common multiple of r and l(2)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1219028 is divided by 2180.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**2. Let f = -3649 - -3649. Let c(o) be the second derivative of 0*o**2 - 2*o + f - 2\/3*o**3. What is c(q(m))?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3468 and 146724?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 7*w + 12. Suppose 0 = 4*d + 2*b + 2, -3 = 5*d - 4*d + w*b. Let p = 2 + 2. Solve -p*m + 0*m + 8 = d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 28608787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907 is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 6813.\nAnswer: 6808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01457 less than -29711740911?\nAnswer: -29711740910.98543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2572 + 2572.3544. What is m rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -3, 16, -15, 278, 4 in increasing order.\nAnswer: -15, -3, -1, 4, 5, 16, 278","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l + 3 = 0. Solve -3*x + 13 = r, x + l*r - 18 = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/11)\/(o*o**(-4)*o)*(o**(2\/7))**(-4\/3)*((o*o**(-4\/3)\/o)\/o**(-1\/9))**2 assuming o is positive.\nAnswer: o**(-446\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3 - 128149*y**2 + 768867*y - 1153287 = 0.\nAnswer: 3, 128143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r = -3*a + 181, 5*r - 228 = -2*a. Does 23 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, t: 10}. Give prob of picking 3 t.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1091, 2177, 3261, 4343, 5423?\n\"Answer: -i**2 + 1089*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37498965 to the nearest integer?\nAnswer: 6124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*p - 172 = -0*w, 5*p - 256 = -3*w. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 28 - 19. Solve -3 = -6*d + o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 21*b**5 - 2*b**3\/3 + 19*b**2 - 91. Find the third derivative of y(p) wrt p.\nAnswer: 2520*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/55133 and -2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/120)\/((-27)\/(-72)). What is the third biggest value in -2, -23\/4, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*u - 10, x + 4 = -2*u - 6. Suppose -5*f + 3*j + 4 = -51, x = -2*j + 10. Calculate the highest common factor of 154 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14*(4 + -6 - 0) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**3 + 15*m**2 - 5*m - 17. Let d(r) = 3*r**3 - 8*r**2 + 2*r + 9. Let l(j) = -7*d(j) - 4*v(j). Let p be l(-5). Let k(u) = u + 5. Give k(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 828 rounded to the nearest ten?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-2 + 4) + 4. Let m(x) be the second derivative of 0*x**3 - 1\/6*x**4 + 0 - h*x + 0*x**2. Let y(f) = 2*f**2. Calculate m(y(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) -1 (c) 7884\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 412 - 2721.9.\nAnswer: -2309.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8*p = -4*i - 12, 4*p = -i + 22. Solve p*h - 7 = 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20c75 (base 14) to base 4.\nAnswer: -103112313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - z = 2*z + 95951, -76759 = -4*x + 3*z. Let j = 364504\/19 - x. Let h = j - -3359\/190. Find the common denominator of h and 65\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750667222 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 21*s - 22. Let n(t) = -6*t**2 - 3*t. Let l be n(-2). List the prime factors of p(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 0.1. Let m = -0.1 + x. Let q = -2011.9 - -2012. Which is the second biggest value? (a) -2\/17 (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/7, 0.5, 12, -1\/5, -6, 0.2, -5.18?\nAnswer: -5.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105 + -22. Let d = 140 - y. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*y + 189 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - j - 22*x = 5*j - 147*x - 905, -6*x - 86 = -j for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 160\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.05, 0, -0.4, 443?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*m - 89*m - 205*m - 3224 = 0 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5762 - -74908\/13. Which is the smallest value? (a) 2\/11 (b) r (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/11 - 4392*o**2\/11 + 798*o - 4388\/11.\nAnswer: 2*(o - 2194)*(o - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74 by -1993046.\nAnswer: -37\/996523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*c**3*d**2 - 121*c**3*d - 2*c**3 + 8*c**2*d**2 + 7*c*d**2 wrt d?\nAnswer: 36*c**3 + 16*c**2 + 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - h = -5*j + 330, -20 = 4*h. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1880216, 1880238, 1880274, 1880330, 1880412, 1880526, 1880678?\n\"Answer: n**3 + n**2 + 12*n + 1880202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 158 + -41?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21302 - -32?\nAnswer: -21210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*h - 60 = -76*h. Let k(x) = 0 + 11 + 1 + 3*x - h*x - 18 + x**2. Calculate k(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -225082*z - 1556645?\nAnswer: -225082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*d - 122*d + 145*d.\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -16453*x + 16452*x + 0 + 0. Let f(d) = 50*d + 6. Give p(f(h)).\nAnswer: -50*h - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 + 2*p**5 - 3*p**5 + (-3*p - 6 + 6)*(-3*p**4 + 2*p**4 + 3*p**4) + (-6*p**2 + 0 + 0)*(-3 + 9*p**3 + 3).\nAnswer: -61*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -568 - 5921 = -9*b. Which is smaller: b or 724?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 bigger than -4455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31\/6 + 307\/60. Find the common denominator of c and 35\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -34*g. Let j(n) = -199693 + 199692 - n - 21*n. Calculate j(w(z)).\nAnswer: 748*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47198, 94422, 141662, 188924, 236214, 283538?\nAnswer: 330902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4839 + -4838. What is the smallest common multiple of 6557 and i?\nAnswer: 6557","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*x - 4*w + 24, x - 22 = -5*w. Is (-212)\/(-6) + x\/3 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01617895964 rounded to 4 dps?\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6 = -5*c + 1, -5*q + 1 = -c. Suppose -4*d = -4 - q. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*g + 9 + 60 = 0, -3*g = -15. Let m = -45 - l. Which is the closest to -0.1? (a) m (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l - 8*l + 105. Let q be l*(42\/(-63))\/((-40)\/6). Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5630118, -5629902, -5629686, -5629470?\nAnswer: -5629254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(2299) + sqrt(2299) + 0)*4 - sqrt(2299)) + -3 - (-2 + (sqrt(2299) - (-2*sqrt(2299) + 0)**2 - sqrt(2299)))).\nAnswer: 77*sqrt(19) + 9200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjvrt. What is prob of picking 1 g and 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 1238, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/72 and -37\/1808?\nAnswer: 16272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3 - 11*o - 2*o**2 + 4*o**2 + 9*o - 3*o**2. Give f(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 13, q: 3}. Give prob of sequence ssq.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182081, -179978, -177875, -175772, -173669, -171566?\nAnswer: -169463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**2. Let v(h) = 6*h**2 + 11*h**2 - 16*h**2. Calculate m(v(y)).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -12. Suppose 0 = -x*l + 9*l - 98. What is the highest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/18 and -25\/271596.\nAnswer: 814788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 10402 = -2312. Suppose -109*i + q = -107*i. Is 30 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*j**5 + 5*j**4*n + 12460*j**3*n + 4*j**2*n + 1199694*j*n wrt j?\nAnswer: -240*j**2 + 120*j*n + 74760*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/17))\/(a**(-21)*a)*a\/(a*a\/(a**12\/a))*a**(1\/2)*a assuming a is positive.\nAnswer: a**(1111\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -770 + 3?\nAnswer: -769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 3*o**2 - o - 3. Let c be v(-2). Solve -4*r = 3*n - 7, r + 13 = 2*r + c*n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4608 - -8108. Round s to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-205)*(-65)\/156*1?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, 2, 5, -2 in increasing order.\nAnswer: -14, -4, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 101001110001110111001?\nAnswer: -101001110001110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**4*u*u**(-7)*u*u*u*u)\/((u*u**(-9)*u)\/u*u*u\/(u*u**(1\/16))))**(-1\/25) assuming u is positive.\nAnswer: u**(-29\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(70)\/sqrt(2))\/(sqrt(175)*5).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-3))\/8)\/((-40)\/560)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 1764800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/14 and 45\/6254.\nAnswer: 43778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 232?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4671623*x**4 + 4*x**3 + 825877*x - 7 wrt x?\nAnswer: -56059476*x**2 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (-4 + -4 - -11)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 - 36*y**2 + y - 12. Let s be n(12). Do s and -38 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3423400 to the nearest 100000.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101100010101 + 101?\nAnswer: -10101100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - h. Let s(q) = q**3 - 8*q**2 + 8*q - 5. Let j be s(7). Suppose -j*y - 8 = 2*y. List the prime factors of g(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/(-4) - 1)*-2. Let y(j) = -j**3 - 6*j**2 + 3*j + 1. Is 8 a factor of y(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -22.2. Let h = -13.77 - 0.23. Let g = 13 + h. What is the second biggest value in -2\/13, t, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-873)\/1164)\/(475\/(-920) - 1\/(-2)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 52 - 48 - (-26 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*q + 102*q - 456*q + 149*q + 103*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = j + 876. List the prime factors of j.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**3 + 20*g**2 + 5*g - 10. Let y(p) = -p**3 + p**2 - p. Let l(v) = m(v) + 4*y(v). What is the remainder when 83 is divided by l(24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-31)\/12*(-40)\/265 and (-6)\/21 + 8021\/1001 - 5.\nAnswer: 1749","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*s + 2. Suppose 30 = -s*w + 5*w. What is the common denominator of (-3)\/(-5) - (-309)\/w and -61\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 7*j - 10*j + (-2*j + 3 - 3)*(-4 + 2 + 0) - 2*j + 1 - 1.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*t + 48, 0 = -3*l - 5*t + 3*t - 42. What are the prime factors of (-53 + -4)*l\/9?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1391232?\nAnswer: 2, 3, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23701.78 days?\nAnswer: 568842.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3 + w + w - 4*w. Let u be o(-3). What is the remainder when (-138)\/(-4)*4\/u is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 945 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 408*s**2 - 14602*s - 122892.\nAnswer: -2*(s - 154)*(s - 57)*(s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10110111001110011100 (base 2) to base 9\nAnswer: -1363430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62153\/8510 - 3\/851. Find the common denominator of g and 3\/(-2) - ((-234)\/44 + 3).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2249431 is divided by 2784.\nAnswer: 2743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = -3*a + 5*a. Suppose -3*d - 1 = -13. Solve 5*r + k - 4 = 0, 2*r + k + a = d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063199 is divided by 628?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Find the second derivative of w*m**5 - m**5 + 0*m**5 - 3*m wrt m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85987000 rounded to the nearest 1000000?\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 12*q**2. Let g(c) = 5*c - 6. Let j(p) = -p. Let w(v) = -v - 5. Let u(f) = 5*j(f) - w(f). Let r(t) = -5*g(t) - 6*u(t). Determine h(r(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**3 + 219 - 683 - 14*m + 3*m**3 - 14*m**4 + 5*m with respect to m.\nAnswer: -56*m**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2 = 5*y, 4*y + y = 3*z - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (2 - 5) + -10. Let v = b + 8. Let d(n) = 10 - 13 - 3*n + 2*n. What is d(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -23. Let u = w + 9.4. What is the biggest value in 3, -0.2, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 899561587 + 0?\nAnswer: 899561587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 65 = -3*z - z, 2*z - 2*p - 36 = 0. Let v = 13 + z. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b5b + 4?\nAnswer: b61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010111011000 (base 3) to base 8.\nAnswer: 4241774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 1, 5, 9 in descending order.\nAnswer: 9, 5, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 1596?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 12*u + 148. Let i be c(-12). Let g = -52 - -43. Put -4, i, g in descending order.\nAnswer: i, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*o + 3*s, 3*s = 5*o + 9 - 42. Let h(i) = -i**2 + 11*i - 6. Give h(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, r: 2, p: 2}. Give prob of sequence oor.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*p - 1 = 0, -f - p - 7 = -0*f. Let m be (-17)\/f + (-7)\/28. Let x = m - 0. Solve x*i - 16 = -s, 2*s - 5*s = 3*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 7 + 13 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 999.7967 hours in minutes?\nAnswer: 59987.802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.24 (c) 71\/28 (d) -0.2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*m**2\/8 - 39588321*m\/4 + 2827737.\nAnswer: 3*(m - 3770316)*(7*m - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/14))\/(o\/(o**1*o)*o))**(9\/11)*(o**(-2\/3)\/o)**25*o*o*((o**(-2\/7)*o*o)\/o)\/o*o*o*(o\/o**(2\/13))\/o assuming o is positive.\nAnswer: o**(-31943\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*2\/(-28))\/((-15)\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5*(-4)\/(-2)*10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + -3 + ((sqrt(175) + -2*sqrt(175)*3)*1)**2 + -1.\nAnswer: 4367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9135 and 14?\nAnswer: 18270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (sqrt(70) + -6*2*sqrt(70))\/(4*sqrt(1440) + sqrt(1440))) + 5.\nAnswer: -11*sqrt(7)\/60 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 + -110000?\nAnswer: -1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1177)\/11 + 24 + (0 - 14).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*f - 1224 = -7938, -g = -4*f + 1665. Round g to the nearest 10.\nAnswer: -1680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 - 23*b**2 + 7*b**2)*(2*b - 5*b + b) + 0*b**3 - 3*b**2 + 4*b**2 + 3*b**3.\nAnswer: 45*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**4\/6 - a**3\/3 + 340*a. Let l(d) = -132*d. What is z(l(q))?\nAnswer: -34848*q**2 + 264*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/(-25)*20\/6. Let h = j - -12. Let r(k) = -k**3 + 20*k**2 - 27*k + 155. Let n be r(19). Solve d - 2*d - n = -5*a, h*d = 4*a - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 181 + 43. Suppose 3*f = 4*h - 52, 0*h + 4*h - 4*f - k = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 30. Let y be (2\/(-4))\/(5\/(-170)). Let l = f + y. What is the highest common divisor of 20 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/5901 and -47\/257958.\nAnswer: 1805706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/183 and -57\/59719.\nAnswer: 179157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - g + 2*g)*(0 - 1 + 3) + 223*g - 372*g + 214*g to h + k*g and give k.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 21*c**3 + 11*c**2 + 11. Let k(o) = -4*o + 4*o + 2 + 7*o**3 - 5158*o**2 + 2 + 5162*o**2. Determine 11*k(w) - 4*x(w).\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 13. Let d = -4.4 - -4. Suppose -4*t + 2*f = -2 - 2, 0 = -5*t + 3*f + 4. What is the nearest to x in t, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04 from -0.053.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38716.\nAnswer: 2, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*w = 50, 5*x + 0*w + 4*w - 79 = 0. What is the greatest common factor of 165 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + s + 1. Let u = -7 - -5. Let x be n(u). Suppose 19 = x*d - 8. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 58.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 13*n. Suppose 9 = -2*v + 5*v. Let z be 1*(v + -9) + (-2)\/2. Let t(c) = 5*c**2 + 7. Let x(l) = 3*l**2 + 4. Let d(o) = z*x(o) + 4*t(o). Give i(d(j)).\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, g: 5}. What is prob of picking 2 f?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 60 = -c. Suppose -59 = 4*r - 21*r + 111. What is the lowest common multiple of c and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d + 14. Let z(c) = -3*c + 10. Let b(m) = 5*r(m) - 7*z(m). What is b(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -30, 193 in decreasing order.\nAnswer: 193, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.15 and 3.25.\nAnswer: 13.4875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(216) + 2*sqrt(216)) - ((sqrt(189)\/sqrt(3))**2 + 6*sqrt(14)\/sqrt(2)).\nAnswer: -63 - 107*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5547224 is divided by 79.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 153097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5161939 and 7505?\nAnswer: 1501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23328*a**4*s + 7*a**3*k**2*s + 2*a**2 + a*k**2*s + a*k**2 + 4*a*s + 85022*a wrt a?\nAnswer: -559872*a*s + 42*k**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**5*f**(1\/6)*(f\/f**1)**36 assuming f is positive.\nAnswer: f**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1457452 divided by -338\nAnswer: 728726\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u - 24*u**4 + 8*u**2 + u - 9*u**2 + 8*u**4 - 5*u + 2*u**3 to the form h + z*u**3 + v*u**2 + y*u**4 + i*u and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/133672 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 + i**3)*(2*i - 1 - 3 + 3).\nAnswer: 2*i**4 - i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**2\/9 + 1338*d - 1681108\/9 = 0.\nAnswer: 143, 5878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b**5 - 6*b**3 - 3*b**2 - 6*b + 6. Let y(c) = c**5 - c**3 - c + 1. Let t(j) = w(j) - 6*y(j). What is the third derivative of t(x) wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2486712*-7.7.\nAnswer: 19147682.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 1854?\nAnswer: -1855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 247 - 2221\/9. Let p = -25.7 - -167.7. Let t = p + -140. What is the smallest value in -2\/3, x, t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18455, 21135, 25603, 31859, 39903, 49735, 61355?\n\"Answer: 894*m**2 - 2*m + 17563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 9*f - 13. Let p be u(-6). Suppose -7 - p = -3*h. Solve 5*v + h*t = -15, v = -t - 0*t - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 503416 + -2110?\nAnswer: 501306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = x + 4*m + 16, -4*x - m - 26 = 0. Let t be ((-22)\/x)\/(1\/(-3)). Let c = t + 25. Calculate the highest common divisor of 56 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 10:07 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0061 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 + 0.7. Let s be -1 + -1 - (20 - 4410\/200). Which is bigger: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25631, -51188, -76755, -102338, -127943, -153576?\n\"Answer: -i**3 + i**2 - 25553*i - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-376)\/3)\/(4\/150). What is x rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, 1, 34, -7, -15.\nAnswer: -15, -13, -7, -3, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -4. Suppose b = v*b - 76. What is the remainder when ((-20)\/(-4) - 3) + 52 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/4 + 7)*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 36*f - 46. What is the smallest common multiple of 8 and r(-12)?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 9:04 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-15) + 12\/(-20). Let u = -2 + 8. Let s = u + t. Solve 2*b = -3*v + 6, 3*v + s = 3*b - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.238 + -0.138. Let o = 16\/9 - 119\/72. Which is the third smallest value? (a) 4 (b) o (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 20 = 5*k, 0 = 68*w - 72*w + 2*k - 22 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - -6) + (2242\/95)\/((-1912)\/410) and 65\/3.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380440 is divided by 577?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25, 23, 21?\n\"Answer: -2*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 81800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -5. Let n(o) = o**2 + o. Let w(m) = -7*m**2 - 3*m + 3. Let h(b) = j*w(b) + 3*n(b). What is the first derivative of h(d) wrt d?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 28 = 4*t, 2*p - 3*p - 3*t + 16 = 0. Suppose g - p = -1. Let l be (g\/6)\/((-3)\/(-24)). Solve l*w = -w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 12*t - 8. Let l be r(-11). Suppose -4 = -l*u + 5. Suppose -u*b = -b - 42. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 13*g = -360. Let l be 5\/(g\/(-36))*-6. Let k = l - 7. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 6*z + 8 = 0. Let f be (-8)\/z - (-2 + 2). Let x be 2\/(0 + -2)*-1. Calculate the highest common factor of x and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2 - 5*g + g**2 - 4*g + 16*g. Let r(n) = -n**2 - 7*n - 1. Let b(v) = 4*j(v) + 3*r(v). Determine b(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10*i + 236. Let t be v(-24). Suppose -2*j = 3*q + 9, 3*q + 5*j + 9 = -0*q. Sort -5, q, t in decreasing order.\nAnswer: q, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 0 = 3*w + 2, 4 = 2*w + 2*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18697721 and -1.9.\nAnswer: 35525669.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0 - 5. Let f be 1 + (-1 - 1) - -3. Solve f*i - l = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**4\/12 + 5*g. Let l(z) = 5*z. Determine l(o(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 22. Suppose 0*u = -2*u - 3*d + 15, -2*d = -k*u - 10. Solve u = z - 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-245)\/(-28) - 1\/(-4). Let n = s + 7. Suppose 4*f = 4*m + n + 12, 4 = -m. Solve -y - f*y + 17 = q, -3*q = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 547*m**3\/3 + 205*m**2\/2 + 43. Find the second derivative of a(u) wrt u.\nAnswer: 1094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + (2*sqrt(189))\/sqrt(3) + sqrt(63)*1 + 1)*-1 + 5.\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2164 - -4588. List the prime factors of r.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50788.79 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 r, and 2 d when four letters picked without replacement from {r: 12, t: 2, d: 3}?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -19. Suppose -2*k = w - 5, s*k - 9 = -3*k - 3*w. Find the third derivative of 22*b**k - 242*b**4 + 116*b**4 + 114*b**4 wrt b.\nAnswer: -288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5812 + 5818.438. What is p rounded to one decimal place?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 5:31 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, -4, -14\/505?\nAnswer: -14\/505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110011011011010010010101 + -10?\nAnswer: -100110011011011010010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 8*k + 7. Let q be f(5). What is the smallest common multiple of -1 + (-34)\/(-6) - (-52)\/q and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31\/1665 + -53461\/347985. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -41379 (b) -1\/3 (c) -32\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -0.0107781?\nAnswer: 5.0107781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*k + 13, 3*k - 10 - 20 = -3*c. Let s(g) = g**3 - 8*g**2 - 10*g + 115. Let v be s(7). Sort k, v, -5, 2.\nAnswer: -5, v, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 1136\nAnswer: 1\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/6 (b) -0.2 (c) -4 (d) 60\/619\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a94a (base 16) in base 6?\nAnswer: 40450322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77577761*c**3*w**3 + c**3*w**2 - 3*c**3*w + 827435*c**2*w**2 wrt w?\nAnswer: 465466566*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.273 + 0.127. Let h = 41 + -44. Put 1\/4, 1\/5, h, m in descending order.\nAnswer: m, 1\/4, 1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1 = -5. Let h = 5 - f. Let l be -2*(1\/(-1))\/1. Solve l*a - 4*x + x = -h, 2*x = 4*a - 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436235574239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 24 = o, 12 = -5*o + 3*q + 4. Let z(w) = -202*w - 25. Does 18 divide z(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 7*q + 19 = 0. Let i = 33 + q. Sort 4, 5, i.\nAnswer: 4, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22243 is divided by 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -10*h**2 - 6*h - 2. Let r = -62 - -56. Let s(c) = -30*c**2 - 17*c - 5. Let g(b) = r*s(b) + 17*y(b). Differentiate g(v) wrt v.\nAnswer: 20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 5) + -21 + -6 + -2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 438150 (base 11) in base 8?\nAnswer: 2525107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 12 - 0. Suppose -100 = -3*f - 10. Suppose 0 = 6*d - k*d - f. Solve -5*z = -2*z + d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(7\/3)*z*z**20)**(-11) assuming z is positive.\nAnswer: z**(-836\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 1. Let q(z) = -5*z - 7. Suppose -4*x = 25 - 5, -29 = 4*k + 5*x. Calculate k*q(r) - 6*c(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67566380 by 4955.\nAnswer: -13636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13603483 is divided by 48758.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(77) - sqrt(77)*1 - sqrt(77)))\/sqrt(7).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 - 27*u + 49. Let s be (-15)\/(-9)*(-990)\/(-825). Calculate k(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 224243 - -2550?\nAnswer: 231233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/((-64)\/(-8)))\/(15\/(-3))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2794*k = 2799*k - 5. Which is the nearest to k? (a) -1\/10 (b) -0.07 (c) -5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4*o + 169, 4*g + 5*o - 8 = 207. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Let q be x\/(-4)*-4 - 3. Let g be ((-20)\/8)\/(q\/2). Which is bigger: 4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1319932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/21*101502\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 21 + 19. Let j = -10 + y. Suppose j = -6*f + 262 - 16. Does 33 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*c + 174*c + 145*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -36, -46, -60, -78, -100, -126?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*t + 15 - 15 + (-1 + 4 - 4)*(-1 - t + 1).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 7. Let p be x(11). Suppose p*j + 3*m + 2*m - 16 = 0, 3*j = m - 7. Which is greater: -9 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23, -12, 21, 88, 201, 372, 613?\n\"Answer: 2*o**3 - o**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1964 and 2946?\nAnswer: 5892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/(-10) - 2)*-20. Suppose -4*w + j = -0*w. What is the greatest common factor of 6 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -16. Suppose f*i - 68 = i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -5. Let u be (-46)\/345*10\/(-4). What is the second biggest value in o, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*f - 7. Let v be (-6)\/(-16)*f\/1. Let b(z) = z**3 + 16*z**2 + 27*z - 16. Let u be b(-14). What is the closest to 2\/5 in u, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 42\/5 of a centimeter?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -191\/20 + 49\/5. Let z(l) be the second derivative of -2*l - c*l**5 + 0*l**2 + 0 + 0*l**3 + 1\/3*l**4. Find the third derivative of z(p) wrt p.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*h**2*i**3 + 848*h**2*i + 1425*h + 2998227*i**3 + 10*i**2 + i wrt h.\nAnswer: -16*h*i**3 + 1696*h*i + 1425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238658*w + 237735*w = -52611 for w.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, r: 2, f: 1, n: 1, c: 1}. Give prob of sequence nrc.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 5*d + 6. Let t(b) = 2*b**2 + 11*b + 13. Let g(q) = -5*a(q) + 2*t(q). Let h = 6 + -8. Let m = h - 1. Determine g(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201 (base 4) to base 11\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1900) + -5)**2.\nAnswer: -160*sqrt(19) + 1964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98167.\nAnswer: 89, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -32, -7085, 3 in decreasing order.\nAnswer: 3, 2, -32, -7085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 8*a**2 + 54*a - 714. Is k(-47) a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/1750 and -139\/140.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(9\/2)*((v\/(((v*v\/(v**(2\/7)\/v*v))\/v)\/v*v))\/v)\/v)**(-44) assuming v is positive.\nAnswer: v**(-858\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 3*k**2 + 6*k + 2. Let t(b) = -b**2 - 2*b - 1. Let h be t(-5). Let y = 11 + h. Let x = -9 - y. Give f(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**5\/60 - c**4\/12 - 5*c**3\/6 + 363*c**2. What is j(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -7*n - 3. Let s(i) = -4*i - 1. Let b(k) = -2*s(k) + x(k). Let l(j) = 1 + 3 - 4*j + 0*j. Give 6*b(f) + 2*l(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271594 is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12be5 + 1e?\nAnswer: -12bc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 5.8. Which is the nearest to l? (a) 0.5 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*a - 25, k + 5 = -0*k. Suppose 2*t + 2*d = 6*d, a = -2*t - 3*d + 35. Suppose -g + t + 0 = 0. Solve -6*z - g = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**2 - 7*h - 8. Determine n(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 4) + -6 - (6 + 16) - -2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + b - 3*b)*(-2 + 0 + 3)*(4 - 4 - 2*b)*(0 + 0 + 1 + 2 + 2 - 3 + (1 - 1 + 1)*(-2 + 1 - 1) - 4 + 1 + 0 - 2 + 5 - 5 + 1 - 4 + 7).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**3\/11 - 32*a**2\/11 + 58*a\/11 - 28\/11 = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1043.057 + -1043. Suppose 0 = -3*d - 3*n + 6, -4*d - 3*n + 4 = -n. Sort b, d, 5, -0.1 in increasing order.\nAnswer: -0.1, d, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2. Let c(u) = -46*u. Determine s(c(h)).\nAnswer: 2116*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 225, 438, 647, 852, 1053, 1250?\n\"Answer: -2*x**2 + 219*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7581 - 7578. Solve 0 = -3*p + 2*u + f*u - 20, 2*p + 9 = -u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 - 49*71\/(-1). Let q = z + -2478. What are the prime factors of q?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (6 + 5 + -15 - -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 811435, 1622980, 2434525, 3246070?\n\"Answer: 811545*f - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 3:28 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 7\/5 + 43\/10*q + 1\/10*q**4 + 17\/10*q**3 + 9\/2*q**2 = 0. Calculate q.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*-2*6\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20071526 to the power of 1\/2, to the nearest integer?\nAnswer: 4480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5 - 20*j - 10 - 11 + 5 wrt j?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121670679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 12:16 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2044 and 7?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i = 25*i + 26 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Suppose -2*m = 4*z - 28, -z + a = 3*m - 5*z. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/24738 and -92\/111321.\nAnswer: 222642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 664895 and 9.\nAnswer: 5984055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2\/7, -10, 1\/4, -3, -21, 2\/15, 2\/41?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Sort 27\/14, 28, -2, 3, -0.7, 4 in decreasing order.\nAnswer: 28, 4, 3, 27\/14, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 3410922?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2232 <= -2229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxzxxxxxztz. Give prob of sequence xtz.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 584 = 4*c, 5*l - 3 = 17. Let n = 138 - c. Sort n, -37, -4.\nAnswer: -37, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7*y + 111. Let s be m(-16). Let t be 3 - s*15\/78*-6. Find n such that -2\/13 + 128\/13*n**3 - 96\/13*n**2 + t*n = 0.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 416 + 26?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 4:10 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 5:06 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - t**2)*(210 - 141 + 213).\nAnswer: -282*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235309?\nAnswer: 235309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 2*z - 2. Let m = -2 - -4. Let y be g(m). Solve y - 1 = -5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*o + 111*o = 126 - 404 - 646 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + 2*sqrt(19) + sqrt(19) + sqrt(1900) + sqrt(1900) + sqrt(1900)*-2 + sqrt(1900) - (sqrt(1216) + -1 - sqrt(1216))*-6)**2.\nAnswer: -26*sqrt(19) + 3208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -4. Which is bigger: -118 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 2 - -1 - -27. Suppose 3*o - 22 = -10. Suppose 5*w - 150 = -5*h, -2*w = 4*h - o*w - 90. What is the highest common factor of p and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6926 - -7058. What is the remainder when p is divided by 123?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, u: 3, a: 1, v: 1, d: 4}. What is prob of picking 2 k and 1 a?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117.208*-0.025.\nAnswer: -2.9302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -514?\nAnswer: -359.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3970*n = 4385*n - 8300 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jaejanlp. What is prob of sequence jeal?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.6 - 1.1. Let n = v + -0.50037. What is n rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8949, 20301, 31653, 43005, 54357, 65709?\nAnswer: 77061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.39 + -0.19. Suppose -23*z - 1431 - 823 = 0. Let q = z + 492\/5. Sort u, q, 5, -1 in decreasing order.\nAnswer: 5, q, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/41 - 117\/287. Which is the nearest to -0.1? (a) -5 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1564904*l**2*w**4 + 3*l**2*w**2 + 177*l**2*w - 2*l**2 - l - 116 wrt w?\nAnswer: -37557696*l**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-4))\/(((-15)\/(-105))\/((-18)\/(-63)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 3*i**2 - 2*i - 1. Let g be a(-3). Suppose -4*p + 12 = 0, 28 + 11 = -2*r + p. Let s = -1 - r. Solve 5*x - x + g*u = 37, s = -x + 4*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24789124 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5602800 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*z + 5*b, z - 2*b + 10 = -0*z. Let x(u) = 17*u**2 + 6*u - 6. Does 19 divide x(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 18 = 120. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/1147 and 69\/10.\nAnswer: 11470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 171*s - 18 = 172*s, -3*p - s + 14 = 0. Let o(i) = -i**3 + 3*i**2 + 10*i - 27. Calculate o(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 75*h**2 + 236*h - 120. What are the prime factors of q(-65)?\nAnswer: 2, 3, 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 6. Let j be r(9). Suppose j*v + 0*p + 5*p = 389, 3*v - 2*p = 382. What is the greatest common factor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + o**2 + o + 20. Let g be p(0). Let h(q) = -q**2 - 19*q + 70. Let b be h(-22). Suppose w = -b*w + g. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 521*i**3 + 4*i**2*m**3 - 49*i*m**3 + i - 15*m**3 wrt i?\nAnswer: 3126*i + 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 513.1 - 513. What is the nearest to -1 in 3\/5, -2, -10, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*h + 22*h - 160838. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 3 + 3 - y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -2\/57, -458, -5, -1?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 9*y + 8. Let r be l(10). What are the prime factors of ((-6)\/4)\/(r\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 4*b - 1. Let g be a(1). Suppose -13*q + 10*q + g*j = 38, 3*j - 24 = 2*q. Let l(v) = 2*v**2 + 6*v - 8. Give l(q).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2042210 + 10?\nAnswer: 2042220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 + 25 = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 17*h**2 - 91*h - 147.\nAnswer: -(h + 3)*(h + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (8 + -18)) + -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q - 114*q**3 + 26*q**2 + 0*q**2 + 37*q**3 + 6*q.\nAnswer: -77*q**3 + 26*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n\/n**(4\/19))\/n)*n*n**10*n)**(-40) assuming n is positive.\nAnswer: n**(-9280\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 9:03 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -980*w**3 - 11872*w**2 - 18192*w - 7488.\nAnswer: -4*(5*w + 52)*(7*w + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - m + 5 - 13, 4*y - 10 = 2*m. What is the remainder when 63 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 21*v - 40. Let k = -752 - -754. Let c be a(k). Solve 4*m + 0*m + 14 = c*i, m + 2 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v + 2. Let r(x) = x**2 - 20*x + 101. Let d be r(10). Let a(m) = 1. Calculate d*p(j) + a(j).\nAnswer: -4*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + -1 + 940\/36. Let f be ((-1)\/21)\/(6\/2513). Let m = c + f. Calculate the common denominator of -50\/7 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 4, 78, -3, 22 in ascending order.\nAnswer: -5, -3, -1, 4, 22, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 40, -0.017, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*u. Suppose 0 = 2*x - 3*o - 11, 3*x + u*x - 5*o - 16 = 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 - ((0 - -3) + 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -126, 0.5, -2\/5.\nAnswer: -126, -2\/5, 0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -27*d - 2. Calculate l(2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 169, 167?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, 0.1, -242, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54926860?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 410244, 1641076, 3692474, 6564438, 10256968?\n\"Answer: 410283*t**2 - 17*t - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -129, 0.1 in decreasing order.\nAnswer: 19, 0.1, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3286846 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 21*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -3*g - 2\/3*g**3 + 2*g**2 + 1. Calculate o(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 4776.\nAnswer: 14328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -651, -2734, -6133, -10854, -16903, -24286?\nAnswer: -33009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5006*a**2*o**2 + 2*a**2*o + 2*a*o**2 + 477*o**2 + 7 wrt a?\nAnswer: -10012*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 23*u**2 + 159*u + 1211. List the prime factors of c(-10).\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 53, 32, 1, -40, -91, -152, -223?\n\"Answer: -5*v**2 - 6*v + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-317 - 145130\/(-460))*(-11)\/9?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**2 - 21*x**2 + 7*x**2 - 112*x + 112*x.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l + 150. Let b be m(-36). Let k(z) be the third derivative of -z**5\/60 + 5*z**4\/24 + 4*z**3\/3 - 3*z**2. Give k(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 2580155269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 2*u - u)*(-4*u - u**2 + 1 + 3*u + 5*u**2) + (2*u + 5 - 5)*(24 - 24 + 10*u**2).\nAnswer: 24*u**3 - u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 8*k**2 - 7*k + 16. Determine y(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5\/7 + 7468*d**4\/7 - 6866042*d**3\/7 - 28094616*d**2 - 198137016*d = 0. Calculate d.\nAnswer: -14, 0, 1881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 2*j - 289. Let r be 1*-1 - -1 - 29. Let k = 97 + r. Calculate the remainder when k is divided by q(-13).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37981.99 to the nearest one hundred.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + 1 + (-5 - -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 1. Let j be u(1). Let x be j\/5 - (-52)\/10. Suppose 257 = x*h + 2*s, -s - 50 = -h - 0*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -35 + 23 + -20.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 1\/6*n**3 + n - 1\/12*n**4 + 0 - 13\/2*n**2. Let b be (0 + 0)*39\/78. Determine x(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 5)*1965\/524.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*r**2 - 3)*(2*r - 6*r + r)*(-2*r**2 - 1 + 1).\nAnswer: 18*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93 - (-14 + 37)) + (15 - 4)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 t when three letters picked without replacement from {r: 1, v: 1, t: 7}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142713 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 13 - ((-2)\/(-3) + (-84)\/(-18)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2. Let x(y) be the second derivative of y**3\/6 + 32*y**2 - 3495*y. Give m(x(s)).\nAnswer: 2*s**2 + 256*s + 8192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-15))\/1)\/((-4)\/(-15))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 142982 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174.93103 - -2.52797. Let s = h + -178.5. What is s rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1. Let j(p) = 218*p + 10. Let d(v) = 2*j(v) + 18*s(v). Let w = 0 + -2. Let m be d(w). Round m to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000131417 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/2)\/(-2*42\/8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5693.2 (b) 0 (c) -2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssusssss. What is prob of sequence sus?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 331 = -59. Let x = o + -78. Factor 0*h + 4\/5*h**3 + x + 0*h**2.\nAnswer: 4*h**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 5)*(44\/(-33) - 9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1386)\/84*(-6)\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-53)\/11 - (-62)\/(-341). Let d be 38\/8 - 2\/(-8). Sort 12, u, d in descending order.\nAnswer: 12, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) - 10\/(-6). Suppose -2*n + 17200 = h*n. Round n to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.106.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -0*l + 2*t - 5, -5*l = -3*t + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 371*z**2 + 203242*z - 2678. Give d(-673).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 d when three letters picked without replacement from vrvvvbrvdvbv.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d647 (base 16) to base 11.\nAnswer: -824a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 906 (c) 3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1067, 2242, 3419, 4598, 5779?\n\"Answer: m**2 + 1172*m - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 17*l - 4*x - 68, -3*x = 4*l - 103. What is the highest common factor of 8960 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + ((sqrt(448) - (sqrt(448) + -2))**2 - sqrt(448))*6 + sqrt(35)\/(-2*sqrt(5)) + sqrt(7) + 0 + sqrt(7) + (sqrt(14)\/sqrt(2))**2.\nAnswer: -77*sqrt(7)\/2 + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 32 = 4*m, 2*r + 4*m - 8 = -24. Solve -r*p - 22 = -6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**3 + k**2 + 3*k - 5. Let n be y(3). Let p = n + -94. Put -2, -2\/5, p, -0.5 in descending order.\nAnswer: p, -2\/5, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/10*-4 - 0. Let u be 24\/(-60) + (m - 64\/(-10)). Suppose 3*j - 2 = -3*h + 2*h, 10 = -3*h - j. Put -5, u, h in decreasing order.\nAnswer: u, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -208, -15, -1, -11, 0.17.\nAnswer: -208, -15, -11, -1, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 564 + -566. Which is the smallest value? (a) -148 (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -4, -3, -0.0142, 5407 in ascending order.\nAnswer: -4, -3, -0.0142, 1\/3, 5407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by (7 - 5) + 184\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -449482.\nAnswer: 19\/449482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 25 = -7*c. Solve 0 = -z + 6*z + c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -14 + (14 - 11) - 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20278078 is divided by 13447.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -6*z - 6*z + 52. Solve 0 = z*o + o + 6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50453 is divided by 720.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 42 (b) -4\/7 (c) -4 (d) -30 (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.1 + 6.1716. What is u rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 6*n**7\/35 + 25*n**3 + 219*n**2\/2 - 108*n. Let x(s) be the first derivative of z(s). What is the derivative of x(h) wrt h?\nAnswer: 144*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 15*v = 12. Suppose 0 = -2*y + v*f + 750, 3*y = -y - f + 1472. Suppose 5*c + h - 453 = 0, -c + 5*c + 3*h - y = 0. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -524, -1023, -1438, -1727, -1848, -1759, -1418, -783?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3138192 is divided by 803?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 23 + 50 - 23 + 6*d**2 - 2*d**2.\nAnswer: 4*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1968732 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 9*m**2 + 10*m + 9. What is k(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4853 - -5109. Calculate the greatest common factor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10 - 3 - 2*c - 2*c**2 - 5 + c**3. Let h(j) = -15*j**3 + 33*j**2 + 33*j - 33. Determine -33*f(w) - 2*h(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2126303 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-50)*5*(-80)\/32.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14341, 14318, 14295?\n\"Answer: -23*o + 14364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 8. Suppose 11*n - 3*n = 24. What is the remainder when n is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2167.6288 - 2163.9. Round t to 2 decimal places.\nAnswer: 3.73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11*a**3 + 3*a**2 - 5*a + 4. Suppose 4*l - l = -3*p - 15, -5*l - 35 = 0. Calculate i(p).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 16 = 2*w, -2*i - 2*w = i - 16. Let x be i\/6*(-45)\/(-6). Suppose -4*n - 3*m + x = -0*n, 5*n - m = 3. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i**2 - i)*(-2*i + 0*i + 0*i + (-1 + 0 - 1)*(0*i + 3*i - i) + 3*i - 2*i + i + (-3 + 7 - 2)*(4*i - 2*i - 3*i)).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {q: 5, g: 4, k: 3, z: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35\/2*(-120)\/(-50).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 450 and 14985.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 14) + 2 + -6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 7:50 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, r: 8, a: 7}. What is prob of sequence ddr?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, i: 5}. Give prob of picking 3 i.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 (base 14) in base 12?\nAnswer: 10b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 11:14 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/3*2\/8 and -13\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -9, -13, -15, -15, -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/252 and 119\/1398?\nAnswer: 58716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -213.938 to one dp.\nAnswer: -213.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/3 + 170252*q**2 + 10871866752*q + 847660370752\/3.\nAnswer: 2*(q + 26)*(q + 127676)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from jmmmjjmmjmjmmjmj.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 - 150. Let m be (-9)\/f - ((-500)\/(-35))\/(-4). Put -4\/5, m, 1, -2 in descending order.\nAnswer: m, 1, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 905 a factor of 2101402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.15 and -239.6508499957?\nAnswer: 239.8008499957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 7:58 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 + 76.8. Let q = 0.1 + 0.1. Let v = q + -0.2. Which is the closest to -1\/2? (a) -5 (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1473 divide 131357118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12037*b**3 - 2312671*b**2 wrt b?\nAnswer: -72222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 570\/(-175)*1911240\/(-243). Let l = q - 25619. Calculate the common denominator of l and 58\/35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 621.408 nanometers?\nAnswer: 0.000000000621408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(68) - (sqrt(68)*1 + sqrt(68))))\/(sqrt(196)*3).\nAnswer: -sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60131971, 120263944, 180395917?\nAnswer: 240527890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -5 (b) 4 (c) 75 (d) -0.139\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -185 - 5?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1.8. Let z = -261 - -260.8. Let n be -2*(1\/(-3) - 0). Which is the third smallest value? (a) z (b) j (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdtpuouatttuuutotud. What is prob of picking 2 o?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**22*d*d*d**(1\/4)*d*d**(1\/6)\/d*d*d**(-19) assuming d is positive.\nAnswer: d**(77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -1, 1, -8 in descending order.\nAnswer: 3, 1, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 17681251*c. Let o(h) = 3*h**2. Determine m(o(w)).\nAnswer: 53043753*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2530, -2431, -2280, -2083, -1846, -1575?\n\"Answer: -n**3 + 32*n**2 + 10*n - 2571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g. Let v = 15 - 1. Suppose -5*f + 11 + v = 0. Let u be f\/(-2)*(-8)\/5. What is x(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 25. Let p be x\/10 + 26\/(-130). Let -2\/9*s**3 + 0*s + 2\/9*s**2 + p = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m - 8*m + 201 = 276 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118322 divided by -2.\nAnswer: 59161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 - 8*f - 21. Let p be n(-6). Let s = -70 - p. Solve 0*o - 3*o = 5*c, 3*c + s = -4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 767 + 563 + 111*i - 1328.\nAnswer: 111*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -152\/93 - 1\/31. Which is smaller: -3 or r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122493.928+0.001\nAnswer: -122493.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 545814?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000069955 rounded to 7 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-184)\/12*6*-3. Let m be 4 + 2*(-3)\/(-6) + -5. Suppose a - 177 - h = m. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 12815948.\nAnswer: 1409754280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 2*p + 3*p)*(-p + 1 - 1) - 416*p**2 - 147*p**2 + 850*p**2 - 2*p**2 + 0*p**2 + p**2.\nAnswer: 287*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 - 100011001011?\nAnswer: -100010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 18 = -4*q. Find the common denominator of 2\/(-9) + (-10)\/(-18) and (-123)\/(-120) + q\/24.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 299 = 3*d - 7*f, -f + 211 = -2*d. List the prime factors of (-18936)\/d - (-2)\/3.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, -13, -33, -53?\n\"Answer: -20*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*l - 5, 3 - 4 = l - g. Calculate the lowest common multiple of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 581967406*x**4 - 414861340*x wrt x.\nAnswer: 6983608872*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -112\/745113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 117. What is the remainder when r is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 1:16 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/((-14)\/(-8)) + -2. Let w(t) be the first derivative of -4*t - t**a - 10 + 9*t - 2*t**2 - t**3 + 4*t. Suppose w(j) = 0. Calculate j.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 p, and 2 x when four letters picked without replacement from {l: 1, w: 1, x: 2, p: 1, e: 1, r: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -159 + 468. Suppose -937 = -4*d - i. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 590 and 5900?\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o + 152811 = -28*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -17*p**7\/21 - 19*p**3\/3 - 35*p. Find the second derivative of o(i) wrt i.\nAnswer: -680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i + 2*i - 2*i**2 + 2*i**3 + 0 + 3. Let p be q(2). Suppose -5*l + 95 = p*o, 0 = 5*l + 2*o + o - 87. Solve -2*m - l = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - (-2 + 5)) + 1. Let f = -569 - -564. What is the second biggest value in r, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4217573 + -4214583.1607. Let m = 2990 - z. What is m rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6)\/(24\/90*5). Let r(b) be the third derivative of -z*b**3 - 1\/20*b**5 + 0*b + 0 + 1\/6*b**4 - 2*b**2. Give r(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 4:01 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 1042.\nAnswer: 1042.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p**2 + 20*p**2 + p + 31*p**3 - 80*p**2 + 9*p**2 + 14*p**2 in the form d + u*p**2 + v*p + c*p**3 and give u.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**2 - 2*h + 2. Let f(k) = -k + 1. Let b(y) = y**3 - 8*y**2 - 8*y - 8. Let i be b(9). Calculate i*w(n) - 2*f(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 279620038 to the nearest integer?\nAnswer: 16722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 314*o + 1. Let m(z) = -112263*z. Determine m(b(c)).\nAnswer: -35250582*c - 112263","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**5 - 245*v**3 + v**2 + 4.\nAnswer: -120*v**2 - 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 283.6?\nAnswer: 283.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2678?\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -152314 or -152292?\nAnswer: -152292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/(105\/(-1332)))\/(4\/(-170)). What are the prime factors of 2\/9 + d\/(-27)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201 + -201001?\nAnswer: -200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145661?\nAnswer: 145661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 589*r**2 - 143*r**2 - 264*r**2 - 348*r**2.\nAnswer: -166*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 236 - 179.6. Let o = 117.8 - c. Let i = o - 61. What is the closest to 0.1 in i, 0.1, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*c + 77, 3*k - 25*c - 48 = -26*c. Let a be k\/4 - 6\/24. Factor 0 - 11*m**3 + 14*m**2 + 5\/2*m**4 - a*m.\nAnswer: m*(m - 2)**2*(5*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9389?\nAnswer: 41, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 3*o - o)*((0*o - o + 3*o)*(-4*o + 4*o - 2*o) + o**2 + 0*o**2 - 3*o**2 + 2*o**2 + 0 + 0 + 470*o**2 - 920*o**2 - 36 + 466*o**2).\nAnswer: -12*o**3 + 36*o","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -83 - b**2 + 83 - 6*b**2. Suppose 4*q = q + 4*z + 1293, -3*z + 862 = 2*q. Let n(p) = 431 - q - 3*p. Determine c(n(m)).\nAnswer: -63*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8\/7*(-3)\/12\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from olqfuiui.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -6. Let l = s - -7. Solve l*x = 4*x - 3, -5*x + 15 = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 21*c - 178. Let j be x(9). Solve j*h - 19 - 14 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1521*o + 3 = 1520*o + 3*a, -3*a + 15 = -5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05593 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -21. Let l be (b\/(-3))\/((-20)\/(-180)). Suppose -7*v + 136 - l = 0. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 - -714670?\nAnswer: 714654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (2 + -2 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 18*c**2 - 9*c - 12. What is the hundreds digit of s(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 5 (c) -0.4 (d) -0.13 (e) -616\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2530 and 1035.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 893000 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xllxxxllxxxxxxlxlxl. What is prob of picking 2 x and 2 l?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 58224623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - j + 1. Let x(r) = 3*r - 1 - 2*r**2 + 1209*r**3 - 1172*r**3 - 8. Let p(k) = 3*b(k) + x(k). What is the third derivative of p(z) wrt z?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/64 and 59\/16?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -704 - -10562\/15. Which is the closest to 6? (a) 0.6 (b) 4\/5 (c) -0.2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 3, -5, 28.\nAnswer: -5, -3, 3, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004993 rounded to seven dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 14*c + 23 = -4*o, 5*o + 3*c = -1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2789557581?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2544 - 1136 + 147)*(-3 + 3*l + 3).\nAnswer: -3*l**2 - 10599*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 13 - 25*d + 9*d**2 - 22*d + 36*d + d**3. Let v = -13 - -3. List the prime factors of y(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110400 is divided by 1971.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3114 and 795800.\nAnswer: 7162200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 11*g**2 + 7*g + 22. Let z be k(-9). Suppose b - 3 = 5. Suppose b*l - z + 33 = 0. Calculate the greatest common factor of 22 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 631478663273\/1826825 + -31456023\/91. Let p = h - -2\/1825. Let x = 90 - 90. Do p and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 9:04 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 4*v**2 - 2*v - 2. Let b be j(2). Let a be -7 + 3430\/150 - (25 - 11). Are b and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.54 - 5.54001249. What is l rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*z + 6*z - 4*z)*(-3 + 4 - 5) - 81*z - 15 - 223 + 83*z)*(-5*z + z + 3*z).\nAnswer: -10*z**2 + 238*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -96*q. Let y(j) be the first derivative of 1\/3*j**3 + 4 + 0*j + 0*j**2. What is y(t(g))?\nAnswer: 9216*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -12 - -5 - (-3 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 3*n - 3735424*n**2 - n + 3735428*n**2 + 4*n.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -269990.02.\nAnswer: -269989.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -8*r**3 + 6*r**2 - 6. Let p(j) be the first derivative of 5\/3*j**3 + 0*j**2 - 9 - 5*j - 7\/4*j**4. Give -5*k(u) + 6*p(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38.625 + 40.625. Let q = -112 - -1121\/10. What is the nearest to -2 in q, -12\/11, y, -2\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8 + 1 - 5*m**2 + 6*m**2 - 13*m + 23. Let g be x(11). Solve -g = -2*w - 0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z - 53. Determine k(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 4*k + 30, -5*r = -4*k - 0*k + 10. Suppose -5*j - 28 = -3*y, -j + 23 = 4*y + 1. Solve -y = -g + 2*g + c, -r*c = -3*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 533113, 533202, 533291, 533380, 533469?\nAnswer: 533558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -0.16 (b) 0.3 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -76, -1\/2, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*k = 13, -5*v - 7*k + 4 = -9*k. Suppose -2*j + 18 = v*c, 3*j = -2*j + 3*c + 5. Let z(h) = 26*h - h**3 - 2 - 30*h - 5*h**2 + j + 3. Give z(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 9 - (-41 + 47)) + 124 + -17\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 3*m + 120. Suppose -v + m = -0*v. Let f = v - 18. What is the remainder when f is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 + 87. Let v = s + 154. List the prime factors of v.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 78*h + 406. What is x(-68)?\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**3\/6 - 8*p. Let a(h) = 2*h. What is a(o(n))?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 142728 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1563 (base 7) to base 9\nAnswer: -773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 520 - 1422?\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 7) in base 16?\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.08+-256345030.903\nAnswer: -256345030.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2)*(-2844)\/79*2\/(-18). Which is smaller: 9\/544 or k?\nAnswer: 9\/544","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37149*n**3*s + 52*n**3 + 5*n**2*s - 407*n**2 - n*s + 625 wrt n?\nAnswer: 222894*s + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + v**2 + 12. What is the tens digit of k(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 7860.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**2 + 31112*k + 93372 = 0.\nAnswer: -3, 7781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*y - 355*y - 4*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*t**2 + 117*t**2 + 143*t**2 - 4 + 2*t - 331*t**2.\nAnswer: 112*t**2 + 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/((-16)\/(-22)) - (0 - 1). Let w(y) = -2*y**2 - 21*y + 7. Let c be w(n). Solve o + c = -4*x, -o + 17 + 1 = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 490 and 77035.\nAnswer: 1078490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6) + (-4)\/6. Let m be (18\/(-15))\/(8\/236). Let t = m - -35. What is the closest to 2\/7 in 2\/7, a, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8817696 litres to millilitres.\nAnswer: 881.7696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4\/5 - 57396597*z**3 - 9151026060051018*z**2\/5 - 97266255992282079000012*z\/5 - 97266246841256305931976\/5.\nAnswer: -3*(z + 1)*(z + 31886998)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23902 divided by -7?\nAnswer: -23902\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5\/7 + 514*d**4\/7 + 22338*d**3\/7 + 26004*d**2\/7 - 123845*d\/7 - 43350\/7 = 0. Calculate d.\nAnswer: -85, -3, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-33668)\/(-152) + -2*(2 - -3). Factor -273\/2*n + 45\/2 - 27\/2*n**3 + u*n**2.\nAnswer: -3*(n - 15)*(3*n - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 8 (c) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/24 and -19\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2)*-2 - (sqrt(128) + -1)**2.\nAnswer: -133 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40389 - -1777005\/44. Let k = -10182 + 142609\/14. Calculate the common denominator of k and z.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.33653 + -0.03653. What is the closest to -2\/5 in 0, z, 41\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7590*h**2 - 357*h**3 + 7590*h**2 - h**4 - 433 wrt h?\nAnswer: -4*h**3 - 1071*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-8)*m**23*m**(4\/3)*m**(2\/7) assuming m is positive.\nAnswer: m**(349\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxccw. What is prob of sequence cxw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1718516 is divided by 11850.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 5 = 3*g. Sort 4, g, 5.\nAnswer: g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -20*o + 990. Let s(y) = 7*y - 332. Determine -4*r(b) - 11*s(b).\nAnswer: 3*b - 308","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-102)\/(-187) + 531\/(-1155). Let c(t) be the first derivative of w*t**5 + 0*t**3 + 8 + 1\/14*t**6 + 0*t**4 + 0*t + 0*t**2. Factor c(a).\nAnswer: 3*a**4*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 17*y - 52. Let n be d(3). Let g be -1 - (n - 20\/4). Solve 0 = -g*h, p + 3*h = -h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 598767, 2395072, 5388889, 9580200, 14968987, 21555232, 29338917, 38320024?\nAnswer: 48498535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -108? (a) -0.06 (b) 0.05 (c) 0.1 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -57*o**2 - 14. Let i(d) = -d. What is i(v(a))?\nAnswer: 57*a**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(240)\/sqrt(3)*3)**2.\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 310243 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**6\/30 - 7*l**5\/60 - l**4\/24 - 20*l**3\/3 + 131*l**2. What is the second derivative of r(g) wrt g?\nAnswer: -24*g - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t + t - t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-8)*38\/(-3553).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 86. Let p = h - -85. What is the biggest value in 5, -2\/9, p, 2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1242\/14145)\/((-90)\/50).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1062012 by -1.\nAnswer: -1062012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 1\/3 (c) -2 (d) -0.2541 (e) 3 (f) 2\/5 (g) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -3. Let z = -106 - -139. What is the remainder when f is divided by ((-187)\/z)\/(2\/(-6))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 12*f**2 + 25*f + 119. Let d be l(-16). Let r = 746 - d. Solve -46\/13*b**r + 122\/13*b**2 - 80\/13*b**4 + 8\/13 + 64\/13*b + 32\/13*b**5 = 0.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529188875.\nAnswer: 3, 5, 19, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*g**3 - 111*g**2 + 228*g + 108.\nAnswer: -3*(g - 2)*(g + 9)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77 + -73315?\nAnswer: -73216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 1 + 1)\/2. What is the first derivative of -8*c**4 - 4 - 1 + w + 2 wrt c?\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4614022549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 890 + -606. List the prime factors of t.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9963359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1781*g + 4*f - 6 = -1779*g, 3*g + 3*f = 27 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -92 - -1075?\nAnswer: cb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10559 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5691*c**3 + 18*c**2 - 47*c + 20. Let i be b(12). What is i rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 7. Calculate w(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -486 + 489.21. Let i = -0.21 + z. Which is smaller: -0.1 or i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15180266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-231)\/(-22)*(744\/930)\/((-1)\/5*1)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a decade?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 4*l = 66, -5*w + 23*l - 21*l + 58 = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/63, 0, 3, 3\/5, 0.05 in increasing order.\nAnswer: -2\/63, 0, 0.05, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -145420 from 1152367.\nAnswer: 1297787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 53 + 4 + (1 + 16 - 3)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -2046 (b) -0.9 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*q + 37, q - 3*q = -2*g - 22. Let t = q + -5. Suppose 0 = -t*p - r + 27, 2*p + 0*r - 7 = 3*r. Calculate the greatest common factor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*n + 1. Sort 3, 2, n in descending order.\nAnswer: 3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1978.\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 151 - -162?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11804922 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2032 (base 12) to base 10\nAnswer: 3494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 4 (c) -51 (d) 29\/50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 48*j**2 - 1 + j**4 + 9*j - 6*j + 0*j**4 as x*j**4 + k + w*j**2 + n*j**3 + q*j and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 35. Let t = 10128 - 10115. Determine c(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86\/(-5) - (-383)\/1915?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 413854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f + 47*f = -10, -7 = -2*z - 3*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -43340 (base 5) in base 2?\nAnswer: -101110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35539 is divided by 2015?\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104 - 53254?\nAnswer: -53402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*h + 3. Let s be h*(-2)\/4*1. Solve -s = 2*q - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) -1\/5 (b) 0.7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 12 = -7*b. Let x = -88 + 44. Let l be 2\/3 + x\/(-6). Solve b + l = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 263528 divided by -378\nAnswer: -131764\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9131*t + 4567*t + 4569*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 82. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8320307?\nAnswer: 31, 239, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06, -5, -0.02?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 10010205.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-3350.24.\nAnswer: -1005.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/7 - 264*q**4\/7 - 7066*q**3\/7 - 13284*q**2\/7 + 145584*q\/7 + 152064\/7 = 0 for q.\nAnswer: -96, -33, -6, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - 14. Let c = 70 + n. Calculate the remainder when c is divided by (15\/(2 - 1))\/(9\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 3*t**2 + 5*t - 1. Let v be q(4). Suppose -f + 20 = v*f. Sort -2\/3, 0, f in ascending order.\nAnswer: -2\/3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41330 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -240 + 827. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10978074?\nAnswer: 2, 3, 587, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*(f\/(f\/(((f**(-1)*f)\/f)\/f*f)))\/f)\/f**(1\/8))\/(f**2*f**(4\/7)))\/(f**3*f**(-2)*f**3\/(f\/f**(-6))) assuming f is positive.\nAnswer: f**(17\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 93, 86, 77?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2568430 is divided by 2568382.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16 + 0.86. Let z = o - 3.7. Which is the nearest to -1? (a) 0 (b) 1\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324.49 rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 1\/6*f**3 - 37*f**2 + 0 - 1\/24*f**4 + 0*f. Let n(q) = q**2 + 2*q - 3. Suppose -3 = b - 4. Give b*a(h) + n(h).\nAnswer: h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 o when three letters picked without replacement from {o: 1, u: 2, a: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*q**3 + 8*q**2 - 87*q - 11071.\nAnswer: -12*q**2 + 16*q - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**2 - 8*h - 5. Let f be c(-1). Solve 15*d - 7 = f*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 390 - 387. Let k = 313 - 302. Which is the smallest value? (a) g (b) -0.4 (c) k (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1496, -1505, -1514, -1523, -1532?\n\"Answer: -9*z - 1487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnpnnpnpppnppnpppn. Give prob of picking 3 p.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -19)\/((-1)\/(-14000)). Round i to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 31 = 4*q, -2*q = 4*j - 129 + 91. Let x be (q\/(-2))\/(540\/(-240)). Suppose -2 + 11\/2*c + 3\/2*c**x = 0. What is c?\nAnswer: -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23\/7 + 10\/(-35). Solve 5*j = -h - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3666.349 milligrams to micrograms.\nAnswer: 3666349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 156672476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 52\nAnswer: -5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1134 and 131\/1260?\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4319*j + 1246*j = 291935 for j.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*b - 30*b - 3*q - 4, -5*q = -b + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 216 + -217. Put -1\/4, c, -2\/25 in descending order.\nAnswer: -2\/25, -1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 9:04 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/74730 and 7\/7473.\nAnswer: 74730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224201160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 5*l. Let o be b(-5). Suppose -4 = 2*r + 2, -h - 2*r - 4 = o. What is k in 0*k + 1\/3*k**5 + 0*k**h + 2\/3*k**4 + 0 + 0*k**3 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18241*s**4 + 5*s**2 + 17*s + 1597 wrt s?\nAnswer: -218892*s**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s - 5*s + 2*s**2 + 3*s**2 - 3*s**2 + s**2 + (4*s - 3*s - 3*s)*(-3 + s + 3) + 2*s**2 - 3*s**2 - s**2 + 23*s**2 - 5*s**2 - 10*s**2 - 9.\nAnswer: 7*s**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxsmmsxlmmxmx. What is prob of picking 1 l and 1 m?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361800542.\nAnswer: 2, 180900271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 3*c**2 - c - 5. Let d be u(-3). What is the units digit of (d\/4)\/((-14)\/1708)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -73*b**3 - 178*b + 314. Find the first derivative of g(m) wrt m.\nAnswer: -438*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 587 + -354. Let t = -215 + b. Calculate the remainder when 56 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 12*b**2 + 7*b + 6. Let q(v) = v**2 + 1. Let x(h) = j(h) - 6*q(h). Let u be x(7). Suppose s = -u*s + 9. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, -5, 5, 4, 3.\nAnswer: -116, -5, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.85 - 2.35. Which is the nearest to 8? (a) -0.4 (b) 4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -47. Let r(c) = c**3 + d*c - 5 + 11 - 45*c + 6*c**2. Give r(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4788 - 106*f + 143*f - 33*f.\nAnswer: 4*f + 4788","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2279?\nAnswer: 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5789155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -572, -2, 150 in descending order.\nAnswer: 150, -2, -572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbpbbeppppeeeppp. What is prob of picking 2 b and 2 p?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Let k = -2.6 + x. Which is the closest to -2\/3? (a) k (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - s + 2*s)*(67 + 97 - 44).\nAnswer: -240*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -2\/15*d**3 - 1\/15*d**4 - 14*d + 20 + 0*d**2. Let o(p) be the first derivative of y(p). Factor o(z).\nAnswer: -4*z*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -1 - (-27)\/3. Suppose 0 = -4*a + 3*a + 5*m - 291, 3*a + 793 = -5*m. Let c = a + 293. Solve 4 + j = -5*t, -4*t - c = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296384353 a multiple of 712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 103*o**2 - 3*o - 1. Let b be k(4). Suppose -5*q + 2*q = -b. Suppose 6*r + q = 11*r. What are the prime factors of r?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19.6 + -101.6. Let y = -81.961 - o. Let w = y - -0.961. What is the biggest value in 1\/6, 2\/11, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -49 (b) 4 (c) -6 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 753.5778ml in litres?\nAnswer: 0.7535778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/218494 or 0?\nAnswer: -1\/218494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3935 + -428.5935. Let p = 428 + o. Suppose l - 1 = -6. Which is the second biggest value? (a) 2 (b) l (c) 3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/(sqrt(4) - sqrt(36)\/(1*sqrt(9)) - sqrt(4)))\/((sqrt(320) - (sqrt(320) + sqrt(320)*-1)) + (-2*sqrt(20) + sqrt(20) - sqrt(5))))**2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*z - 4 = -0*n, -5*z = 5*n - 65. Suppose -5*h - n*w = -3*w - 245, -3 = w. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, q: 3, c: 6}. Give prob of picking 3 y.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19292.7 - 19293. Which is the second biggest value? (a) n (b) -332 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.97 - 0.03. Let o = -13.08 + 12. Let p = 0.08 + o. Sort c, 0, p.\nAnswer: c, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1484837 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwm when three letters picked without replacement from jwmmwjwwwmj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8827149.\nAnswer: 3, 2942383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28948934 divided by 14?\nAnswer: 2067781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.99 - -73.\nAnswer: 71.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2498299670 - 0.04963?\nAnswer: -2498299670.04963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -3703, -5, -40, 2\/15 in increasing order.\nAnswer: -3703, -40, -5, -2\/9, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 5. Let j(b) = -3*b**2 + 5. Let q(x) = -3*j(x) + 4*l(x). Let n(r) = -4. What is -5*n(f) - 4*q(f)?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11698, -23603, -35694, -47965, -60410?\nAnswer: -73023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -5. Suppose -w - n = -3*p, -30 = -5*p + 3*w - 8*w. Find the second derivative of 0*a + p*a**4 + 0*a**4 - 2*a wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 399410.5 micrograms to tonnes.\nAnswer: 0.0000003994105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -227150 - -387459. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**3 - 6 + 6 + 2*r**3 - 3*r**3 + 2*r**3 + 1 - 1 + r**3 + (-3*r + 2*r + 2*r)*(2 - 2 + 2*r**2) + 2*r**2 - 2*r**2 - 2*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812588534.\nAnswer: 2, 12197, 33311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (25\/(-10) - -1)*54. Let z = -57 - o. What is the remainder when z is divided by (-59)\/(-4) + (-2)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + (-81060)\/(-10132) - 3. Let g = a - -210223\/40528. Calculate the common denominator of 29\/14 and g.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d + 1. Determine s(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*-3*12\/72.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3794494 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: What is the second derivative of 32*n*t**3 - 77120*n*t - 4*t**5 - 2*t**3 wrt t?\nAnswer: 192*n*t - 80*t**3 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 51*v**2. Let q(l) = 3521*l. Determine q(i(w)).\nAnswer: 179571*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 26*y - 7 = 31*y, -7 = o - 3*y for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 5:46 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c**3 + 8*c + 8. Let p(z) = -10*z + 63. Let u be p(6). Let v(a) = -73*a**3 + 22*a**3 - a + 28*a**3 - 1 + 24*a**3. Give u*x(o) + 24*v(o).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -1. Let y = 47121\/8 - 47117\/8. Which is the second biggest value? (a) -2 (b) p (c) y (d) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 9*y + 67. Let o be c(-8). Let i(h) = -8*h**3 - 7*h**2 + 12*h + 56. What are the prime factors of i(o)?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/8)\/(-1)*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32418 less than 32413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r + 68. Let q(z) = -30*z. Calculate t(q(j)).\nAnswer: 60*j + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 17*z**5\/5 + 19*z**2\/2 + 6. What is the second derivative of g(u) wrt u?\nAnswer: 204*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c**2. Let f(h) = -4*h. Suppose 12 - 40 = -2*k. Let u(o) = 9*o. Let z(y) = k*f(y) + 6*u(y). What is z(i(j))?\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -8. Suppose a = -4*t + 3*j, -t - 4*j + 20 = t. Suppose 2*q = -3*m + 33, t*m - 3*q - 14 = -5. Solve m = -3*i - 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 747 + -787 + 16 + (-4 - -3).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a gram in milligrams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 10:35 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 578 and -0.6?\nAnswer: -346.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/14 and 75\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.3. Suppose 3*j = -4*z + 15, 11*j = 6*j - 2*z - 3. Sort j, 0, 4\/3, v in decreasing order.\nAnswer: 4\/3, 0, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = n - 33197, -3*j - 16602 = -5*j - 4*n. What are the prime factors of j?\nAnswer: 43, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 13, -1 in ascending order.\nAnswer: -56, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*24\/8*(-2)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -569, 3, -4, -2\/5, -96, 5 in decreasing order.\nAnswer: 5, 3, -2\/5, -4, -96, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -498 - -435. Let p = 59 + d. What is the closest to 0.15 in 0.05, p, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2d08 (base 16) to base 8\nAnswer: -26410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*90\/20*5\/225?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3595206 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 - 17 = 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 7)*(1 + 0 - 2)*(-u - 1 + 1).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + 2. Let u = k - 32. Let b be ((-10)\/8)\/(u\/24). Solve -2*x = -b*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/9*-6)\/(2\/(-15)). Sort -2, j, -10, 3 in increasing order.\nAnswer: -10, j, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22212 - 21954.51. Round s to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 7 - 1 = -2*n, -4*q = -5*n + 29 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 35*c = 36*c + 1, 0 = 2*y + 3*c + 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - z**2 + 180*z - 347. Give k(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9849 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -6. Let a be (-1 - -8)\/(-2 + 1). Calculate the least common multiple of x\/1 - (a - 0) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 6. Solve -b = -l - 0*l - j, -b - 2*l - 2 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*44\/(-60)*(-2)\/11\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1258 (b) -0.18 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2 + m - 7. Calculate the remainder when f(5) is divided by 301\/56 + (-3)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 68763*l**2 - 417959745*l - 269956161825.\nAnswer: -3*(l + 731)*(l + 11095)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200202211 - -11?\nAnswer: 2200202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*q + 19 = -1, -3*r = 4*q - 4. Suppose -6 = -z - 2*m + 7, -r*z + 60 = 4*m. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1170 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n + 2. Let r(x) = -x + 1. Let u(g) = j(g) + 4*r(g). What is the units digit of u(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5407*a**2 - 3388*a**6 + 3282*a**2 - 2448*a**2 wrt a.\nAnswer: -406560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5)\/y**3)**(42\/11)\/(y**(-4)\/y**(1\/7))**21 assuming y is positive.\nAnswer: y**(4071\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 8*n**3\/11 + 1426*n**2\/11 - 90744*n\/11 = 0.\nAnswer: -228, 0, 199\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 82631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**6\/120 + j**5\/20 - j**4\/8 - j**3\/2 - 2*j**2. Let n be i(-3). Suppose n + 15 = 3*d. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6634, -18021, -29408, -40795?\n\"Answer: -11387*o + 4753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Let p = s - -0.05. Let o = p + 0.25. What is the closest to -0.1 in 0.2, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 4628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 9*p**2 - p + 18. Let s be v(9). Let f = 14 + 1. Let j = f + -15.4. Which is the closest to s? (a) -2\/3 (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 7:36 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 79761 and -0.09741.\nAnswer: 79760.90259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1182 - -1189. Let s(u) = -u + 6. Let k be s(6). Suppose w*j = -k*j. Which is greater: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c**2 + 13*c. Let n(z) = -8*z. Give n(m(y)).\nAnswer: -72*y**2 - 104*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-576)\/72)\/(2\/6*528\/2816).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -11*z**3 - 7*z - 7. Let b = -23 - -81. Let p = b + -55. Let k(h) = 7*h**p + 3*h**3 + 1 + 5*h + 5 + h. What is -7*k(i) - 6*o(i)?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -10. Calculate the least common multiple of 22 and w.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -142*j + 149*j - 42 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2617 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 - 265831683.\nAnswer: -265831551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18835521?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*q**6 - 690*q**4 - 5*q**3 + 1466815*q**2 wrt q?\nAnswer: -1920*q**3 - 16560*q - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 2 - (-2 - (3 - 3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -24. Suppose 41*y - 43*y + 244 = n. Suppose l + l = 62. What is the remainder when y is divided by l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 690, 0.3, 2, 18, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-141)\/((-8)\/8*(1 + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 - 14?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 + 89*z**2 + 45*z + 5. Let t be b(45). Solve -3*s + 2*q = 7*q + 5, t*s - 3*q = 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 532059 - 111941 = 0. Round q to the nearest 10000.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17375, 8, -3, -0.4, -157 in increasing order.\nAnswer: -17375, -157, -3, -0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) 948 (c) -2 (d) 0 (e) 1 (f) 0.2 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -132 and -133 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3245722 or 3245723?\nAnswer: 3245723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*-26*13\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1852 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3102 + 3102. Let r(a) be the third derivative of 21*a**2 - 1\/240*a**5 + f - 1\/12*a**3 + 1\/32*a**4 + 0*a. Factor r(c).\nAnswer: -(c - 2)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*w - 4*u, 7*u + 6 = 5*w + 4*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 327 - 2*p**3 + 2*p**2 + 2*p**4 - p + 3*p - 320 - p**3 to the form s + g*p**2 + d*p + v*p**4 + u*p**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Round -65.8535 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12, 16, 20, 24, 28, 32?\n\"Answer: 4*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -5*w - t + 1, 5*t = -2*w - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u**6*u*u)\/u)*u)\/(u*u*u**(3\/4))*(u**1\/u)**(-24) assuming u is positive.\nAnswer: u**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1102\/(-95))\/((-2)\/130).\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -1657*s**6\/6 - 3425*s**2\/2 + 3479. Find the second derivative of c(h) wrt h.\nAnswer: -33140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -141 + 228. What are the prime factors of v?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmrrmr. Give prob of sequence mr.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4112748.953 to the nearest one thousand.\nAnswer: 4113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -796836534 + x**3 + 796836534 + 93*x.\nAnswer: x**3 + 93*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -5. Let h = 9 + c. Let n = h - -1. Is -2\/5 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440 and 7129067?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**3 + u**2 - u + 1. Let m be w(1). Let y(n) = n**2 + 5*n + 7. Let q be y(m). Solve -2*g + 2 = -h, -5*h = -g - 16 - q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -461 - -473. Let a = 1.201 - -10.783. Let g = l - a. What is g rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -259\/76 + 60\/19. Suppose 22 = 4*c + 26. Let k be 0 + 0\/(1 + 0). What is the nearest to c in k, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypd when three letters picked without replacement from {y: 2, a: 2, p: 4, b: 1, x: 2, d: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4804176?\nAnswer: 2, 3, 13, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 69187.15227 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 2*l - 24098, 4*y - 24103 = 49*l - 46*l. Does 29 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 11*n + 19. Let l(g) = 115*g - 679. Let p be l(6). Determine w(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + ((-3 - 0) + 42 + -39 - -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - x + 9 = 96, 5*l + 2*x = 156. Let r be (-40)\/l - (-133)\/21. Factor 14\/5*m**4 + 16\/5*m**3 + 0 + 2\/5*m**r + 0*m - 32\/5*m**2.\nAnswer: 2*m**2*(m - 1)*(m + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 16. Calculate r(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, i: 3, m: 5, g: 1, c: 1, k: 6}. What is prob of sequence ck?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/6*((-2)\/2)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 630895\/(-8700) + 6\/(-40) - (-4)\/(-3)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**2 - 14*r**2 - 5*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 9*w - 19. Is 13 a factor of r(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p**6*p)\/p*p*p)\/p)**(-7\/4)\/(p**(3\/7)*p\/p**5) assuming p is positive.\nAnswer: p**(-341\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcscccsscccqcscssccs. What is prob of sequence qs?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-2*d + d + 0*d) - 2*d + 5*d - 6*d + (4 - 3 + 0)*(-d - 27 + 27).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 3, -2\/13 in decreasing order.\nAnswer: 3, -0.15, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51975 and 6875?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**3*x**4 assuming x is positive.\nAnswer: x**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a = -5*i - 6, 3*a + i = -18. What is the common denominator of (0 - (-26 + 1))\/a and 51\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.70908*-0.015\nAnswer: -0.0106362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 441 = -111. Let r(o) = 13*o**2 - o + 8. Calculate the remainder when k is divided by r(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 158093\/5 or 31618?\nAnswer: 31618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*i**3 - 3\/4*i**2 + 3\/4 + 1\/4*i.\nAnswer: -(i - 1)*(i + 1)*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 42*i + 125*i = 7864012. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2373.89 hours?\nAnswer: 8546004000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6\/q)**10\/(q\/(q\/(q\/((q\/q**(5\/2))\/q*q*q))))**(2\/15))**(2\/15) assuming q is positive.\nAnswer: q**(166\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3 - 6 - w + 1. Suppose -5*h + 12 = 5*s + 2, -s = -2. Suppose h = 9*r - 27. Calculate d(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3203 + -13003210?\nAnswer: -13000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -222*n**2*t**2 - 3*n*t**2 - 4*n - 2845*t**2 + 2*t wrt n.\nAnswer: -444*n*t**2 - 3*t**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/((28 + -40)\/(-2556)). Solve -13*w + b - 220 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -236.5, 6\/7, -89?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25067, 25064, 25053, 25028, 24983, 24912?\nAnswer: 24809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 1. Let i(x) = 33*x. Determine -i(n) - 2*v(n).\nAnswer: -35*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 814013056669 + 6\nAnswer: 814013056675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 81.04467 months?\nAnswer: 6.7537225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence old when three letters picked without replacement from jdtoljdltdttdd.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/78 + (12\/(-39))\/(-2). Suppose v = -4*m + 7 + 9. Solve m*x = -7 - 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 52, 104, 156, 208, 260, 312?\n\"Answer: 52*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 8*l**2 + 7*l + 10. Let v(m) = m - 14. Let b be v(7). Is 10 a factor of h(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9 - -12 - -2*1. Suppose -3*d = a, -d + 19 - 5 = m*a. Solve 5*s = s - 5*r + a, 4*s + 4*r = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 6:05 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, m: 4}. Give prob of picking 2 m.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 305137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 220936855 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 270677.04 months in centuries?\nAnswer: 225.5642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*x - 26*x + 2. Suppose 3*k + 3 = x*u, -2*u - 2*u + 16 = -4*k. Solve -y = 5*n - 25, 5*y - 25 = -u*n + 4*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 460, 1526, 3620, 7090?\nAnswer: 12284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21798533 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-52)\/(-260) + (-24)\/125. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11235 and 129801165?\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 27. Let h be l(11). Suppose 2*y - 120005 = y - h*k, 0 = 3*k - 3. Round y to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 16\/5, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 237316 and 453604.\nAnswer: 3004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2 - 8 - 8)*(2*y**2 + 3*y**2 - 4*y**2).\nAnswer: -2*y**3 - 14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 11. Is 2 - -27 - q - -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -28*h**3 - 1. Suppose -2*s = -4*g - 27 + 1, -10 = 2*s + 5*g. Suppose -4*b = -3*o - 14, 2*o - s*b + 13 = -1. Is f(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and 29365.\nAnswer: 469840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millisecond in microseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 33674092, 33674098, 33674116, 33674152, 33674212?\n\"Answer: v**3 - v + 33674092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16500036, 33000072, 49500108, 66000144, 82500180, 99000216?\n\"Answer: 16500036*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.65 and -5.\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 2064.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17067 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 636.8.\nAnswer: -1910.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3199, 3206, 3223, 3256, 3311, 3394, 3511?\nAnswer: 3668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(10\/6) - -1. Let t = -3 + k. Is 0 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(2\/5 + 0). Let v = 0.12 + 4.88. Put i, 8, v in ascending order.\nAnswer: i, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-18)*120\/(-80)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + -1 + -2*(5 + -5 + (sqrt(112) - 2*sqrt(112)))))**2 + 1.\nAnswer: 64*sqrt(7) + 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.10186, 15, -0.5?\nAnswer: 0.10186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11611744 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**5\/20 + 3*k**4\/4 + 5*k**3\/6 + 2*k + 12. Calculate the smallest common multiple of a(-7) and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 1989 = 2*q, -4*q + 4*k = 947 + 3001. What is q rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*3*4\/(-9). Suppose o = 5*o - m. Suppose 0 = t - 3 + o. Solve -5*i + b = -0 - 2, 0 = t*i + 4*b - 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203228?\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a meter in centimeters?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2681325785 - 14657.\nAnswer: 2681311128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.354 (b) 962 (c) -1.8 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 20*q**2 - 3*q - 60. Let g be a(-20). Solve -2*y - 3*y + 25 = g, 4*x - 7 = y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-48 - -41 - -35)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b. Suppose -8 = 4*j - 7*j + r, -5*j + 18 = -4*r. Let m(o) = 2*o**2 - 17*o**j + 9*o**2. What is m(q(w))?\nAnswer: -96*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 21*q - 108. Let c be l(-9). Let a(w) = 21*w + 5. Calculate the remainder when 19 is divided by a(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 135 + 0?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -1 + 0)\/1. Suppose 5*l + 12 = f - 3*f, b = 3*l + 4*f + 10. Let g be (0\/2 + 1)*-3. Which is smaller: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116\/32 + -4)\/((-27)\/18).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9 + 3. Let n be (-10)\/(-25) + 8\/(-20). Which is the nearest to n? (a) j (b) 3\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20013 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 3*r + 33*r**2 - 59*r**2 + 3*r + 32*r**2 to the form z*r**2 + s*r + d and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5632495 rounded to two dps?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1463*c**2 + 6*c + 45. Let q be s(7). Round q to the nearest one thousand.\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 6*l - l. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252046586 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -157cc9a (base 14) in base 3?\nAnswer: -201210121211011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 737.831l in millilitres?\nAnswer: 737831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202070 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 18 = -4*n, -x + 2*n - 8 = -0*x. Let k be (-116)\/36 - -7 - 4. Put -2, k, x in decreasing order.\nAnswer: x, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -7. Calculate the common denominator of (0 + h)*370\/(-160) and -23\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + z - 18578 = 2*z, 3*t - 2*z - 55741 = 0. Is t a multiple of 295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + -1574?\nAnswer: -1554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -644 or 30?\nAnswer: -644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9396 and 1096374?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-4)\/(-1) + -1. Suppose -5*p - 119*p + 126 = 2*p. Solve b = -p - n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-3)\/9 + 30\/(-54).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*a + 2. Solve -a*u - 2*t = -2, 0 = -3*u + 2*u - 5*t + 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 17898 = 11*m. Let w = 16390 + m. Suppose -3*c = -2*q - 9875 - w, -13546 = -2*c - 2*q. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22600*i**2 + 82025 - 82025.\nAnswer: -22600*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3.5. Let n = 154\/3 - 464\/9. Which is the third biggest value? (a) h (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -4082?\nAnswer: 28574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -775\/47263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43563 or 43489?\nAnswer: 43489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (6\/(-13) - 8983\/676 - (-2)\/(-8)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(264)\/(2*sqrt(8)*-2))\/(((sqrt(121) - (sqrt(121) + sqrt(121)*1 + sqrt(121) + sqrt(121) - sqrt(121)))*-2)\/sqrt(11)).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 166760 divided by -440\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.4 (b) 0 (c) 0.3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3647717 - -29141901\/8. Suppose -4*s = 3*u + 14972, -4*u + 2*s - 19969 = s. Let c = t - u. Calculate the common denominator of 43\/6 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 8*u**2 + 2*u - 1. Determine k(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17\/41 - -167\/205. Which is the closest to s? (a) -2\/5 (b) 2 (c) -0.3 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4504 is divided by 118.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h**3 - 3*h**2 + 5*h + 6. Let t be z(-1). What is the third derivative of 2 + 31*s**2 - 40*s**3 + 174*s**3 + 14*s**2 + 14*s**t wrt s?\nAnswer: 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-1\/5)\/k))**(2\/21)\/(k**(1\/11)\/((k*k**6)\/k)) assuming k is positive.\nAnswer: k**(7067\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 22. Sort 2, f, 0.\nAnswer: 0, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**3. Let l be t(1). Let c(r) = -r**3 + 5*r**2 - 3*r + 4. Let n be c(4). Calculate the greatest common factor of n and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (14700\/(-27))\/(-7). Let f = n - 77. What is the nearest to -2 in 1, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51625131?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.31 + 0.91. What is the third smallest value in -0.22, h, 0.3, -1\/3?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 249*j**3 + j. Let a(f) = -f**2 + 6*f + 8. Let c be a(7). Let t be q(c). What is the units digit of t\/8 + (-2)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -23*x + 19. Let g(h) = -820*h - 816. Let r be g(-1). Calculate f(r).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 12, -5*k + 2*w + 7 = -25. Suppose -39 + 11 = -7*o. What is the remainder when k is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 77? (a) -1 (b) -1\/6 (c) -4 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 2. Let l be o(3). Suppose -920 = -l*c - 120. Let p = c + -131. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 14) to base 6.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11401, 45397, 102049, 181351, 283297, 407881, 555097?\n\"Answer: -n**3 + 11334*n**2 + n + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p - 4*p + 9*p)*(-6*p + 5*p**2 + 6*p) - p + p + 2*p**3 + (-6 + 6 - 2*p**2)*(1 - p - 1).\nAnswer: -26*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-40)\/q)*q*(q*q**20\/q*q*q*q)\/q)**(13\/6) assuming q is positive.\nAnswer: q**(845\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 9. Let k be 16*(2\/(-10))\/(68\/255). Let v be k\/(-4) + 3 + (-1 - 3). Let d(y) = -2. Calculate v*p(t) + 9*d(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 672609*l**4 - 409*l**2 - 725 wrt l.\nAnswer: 16142616*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 798\/12*-6 - -2. Round p to the nearest 10.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1843 - -2835. Let k = o - 996.89. Round k to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, d: 5, p: 5, n: 1}. Give prob of picking 2 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 286 + -165. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1200000121 (base 3) to base 6\nAnswer: 411541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/9 + 8*q**2 - 46*q\/3 + 68\/9 = 0. What is q?\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -172 - -1202\/7. Let p = 21436\/3 + -7147. Which is the nearest to -6? (a) p (b) -0.4 (c) 3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688*d - 511*d - 3717 = 0 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1804, 30, 37\/3 in increasing order.\nAnswer: -1804, 37\/3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.19219 and -0.07.\nAnswer: -0.26219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/2))**(-28))**27*o*(o\/o**2*o)\/o*o**3*o*o*(o**(1\/2)*o)**(-26) assuming o is positive.\nAnswer: o**344","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115032?\nAnswer: 2, 3, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in -2\/13, -1\/6, 1.19?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)\/(k*k**(-3\/2)))**(-1\/11) assuming k is positive.\nAnswer: k**(1\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -8*u**2 + u + 1. Suppose 4*x - 4*p = 8, 0 = -0*x - 2*x + 4*p - 2. Suppose 6*o - x*o - 7 = -2*l, 3*o + 5*l - 17 = 0. What is w(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 4. Let l be (t\/12 - 0)\/1. Let v = -0.36 + 0.44. Which is bigger: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*c*x**3*y - 2*a**2*c*x**2*y - 2*a**2*c*x*y - 5*a**2*c - a**2*x*y - 157918*a*x**3*y + 11*c*x**2 + 4*x wrt x?\nAnswer: -6*a**2*c*y - 947508*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -1 - 0) + (1 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30768 = 5*l + 3*z - 21726, -2*z = 4*l - 41996. Suppose 6*b = b + 20. Suppose -b*j = -7*j + l. Round j to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82 and 1107?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4, 4*r + r = m - 9. Suppose m*i = 4 + 16. What is the highest common factor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 25*s + 4. Let q(r) = 247*r + 39. Let f(c) = 39*m(c) - 4*q(c). Let z(v) = -4*v + 6*v + 7*v - 6*v. Determine f(z(p)).\nAnswer: -39*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012964 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -5*c - 35, 0 = 3*w - 2*c + 3 + 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159 and 24009.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -487.68 + 3.68. Let v = w + 487. Which is the nearest to v? (a) 0.4 (b) -1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/13 - 1198940*m\/13 - 4795792\/13.\nAnswer: 2*(m - 599474)*(m + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233702947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74*-277.\nAnswer: -20498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7958450 rounded to the nearest one hundred thousand?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.138 * 1212949.\nAnswer: -167386.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.7 + 11. Let n = 0.501 + -0.201. Let p = x - n. Put 2\/7, p, -0.1 in ascending order.\nAnswer: -0.1, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((6 - 5) + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**3\/3 - 3*v**2 - 3*v + 4. What is z(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 62748 = -10*b. Suppose -18*h + b = -12*h. What are the prime factors of h?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2549?\nAnswer: 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7008251*0.03\nAnswer: -210247.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {i: 4, c: 2, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 + (-180)\/325. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_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: Rearrange (-1 + 0 - 2)*(3*n - 4*n + 0*n) + (-2*n + n - n)*(0 + 1 + 1) to the form p*n + k and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1180880000 rounded to the nearest 1000000?\nAnswer: -1181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2983 (base 11) in base 12?\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) 129 (c) 3 (d) -353 (e) -0.11 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1770 = -30*c + 27*c, 3*h = 5*c - 2958. What is the greatest common factor of c and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-4572)\/(-4573)) + -3. Let k = x + 2695\/537972. Let t = k - 3891\/1412. Calculate the common denominator of 7\/12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -83*p**3 + 6*p**2 + 1639*p - 6. Let l(v) = v**3 - 2*v + 2. Let b(q) = 3*l(q) + m(q). Find the second derivative of b(t) wrt t.\nAnswer: -480*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 4*z**2 - 2*z - 4. Let a be w(-4). Suppose -a*t = t. What is the third smallest value in -4, t, -1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 = -1. Suppose 33 = -4*l + 5*p, -13 + 1 = l - q*p. Let o = 4 + l. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23011 is divided by 958.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 + 2)\/(-2*1). Let m(y) = -y**2 + 5*y - 2. Let t be m(s). Suppose 0 = -64*q + 72*q - 64. Calculate the greatest common factor of q and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.5465 to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, 7, -4, -25\/8, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 267522236 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + (-1 - -5))*5. Let d(i) = t*i - 7*i**2 + 3*i - 7 + i**2 - i. Let k(x) = -x**2 + x - 1. Suppose 0 = q + 7 + 7. Determine q*k(u) + 2*d(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/4 of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2624126403 to the power of 1\/3, to the nearest integer?\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, h: 14}. Give prob of picking 1 h and 3 u.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*v**2 + 225*v + 12 - 91*v**2 - 225*v.\nAnswer: -8*v**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -731 - -897. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.365283 to 3 dps.\nAnswer: -0.365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 21*l**3 - 3*l**2 + 4*l - 2. What is the smallest common multiple of a(1) and -2*(-15)\/(-7)*(-11928)\/639?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -212 + 156 + (-1 + 0 - 1 - 7).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 13) in base 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24423 (base 6) to base 16\nAnswer: -e1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 9*c - 10. Let u be (10\/4 + c)*1040\/30. What is the highest common divisor of u and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2682 = 17*l - 897. Let g = l - -189. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from {k: 1, f: 2, t: 1, h: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 249*q - 15. Let g(v) = 129*v - 8. Calculate -6*c(z) + 11*g(z).\nAnswer: -75*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkkkt. Give prob of picking 1 k and 1 t.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 20*b**2 - b - 1. Let s be n(2). Let t = s + -165. Let f = t - -183. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 4, 31 in descending order.\nAnswer: 31, 14, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1466714 (base 9) in base 3?\nAnswer: -1112020210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 2*s**2 - 5. Let f be p(-3). What is the second biggest value in 2, f, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 469935684*x**2 + 86712*x + 4.\nAnswer: 4*(10839*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -62*x. Suppose -146 + 305 = -18*g + 141. Calculate z(g).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -61*d. Let w(v) = -42*v**2 - 42*v + 7. Let t(p) = -106*p**2 - 108*p + 18. Let c(r) = -7*t(r) + 18*w(r). Give c(y(x)).\nAnswer: -52094*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -788, -807, -850, -917, -1008?\n\"Answer: -12*s**2 + 17*s - 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7549*z**6 + 63*z**4 - 24*z**3 + 20004*z**2 - 9274*z - 1?\nAnswer: 905880*z**3 + 1512*z - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48.6 + -49. Suppose 0*r - 4*r = 3*l - 14, -r + 9 = -2*l. Which is the smallest value? (a) -0.2 (b) r (c) 6\/11 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -7*w + 80. Find the common denominator of -6 - (582\/(-60) - 6) and (-5)\/w*(-16)\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (77 - (33 - -17))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdxhwdhghghdghd. Give prob of sequence hg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 40710 divided by 6\nAnswer: 6785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2195 times -3?\nAnswer: 6585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxxbbxxbxxbexxxbxb. What is prob of sequence bxxx?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - -283 - (3 + 1). Suppose 0 = 10*c - 259 - d. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5357110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2031481, 8125926, 18283335, 32503708, 50787045, 73133346?\nAnswer: 99542611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y + 1. Let b be a(4). Let x = -1 - b. Suppose -u + 6*u = 10. Solve -x = u*j - q + 3*q, -4*j = -3*q + 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/11 + (-1218)\/(-77). Solve 5*q - q + u = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(810) + (sqrt(810) - sqrt(810)*1*-3) + -1*sqrt(810)*-4)\/((-1*sqrt(108)*3)\/sqrt(6)).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c + 7*c + 30 - 8*c.\nAnswer: 13*c + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, e: 1, u: 2, g: 1, h: 1, r: 2}. Give prob of picking 2 u.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7321.4 + 7270.721. Let s = -168 + 167.779. Let i = s + h. What is i rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -1. Let r = 2.4 + -2.2. What is the closest to a in -3, -2\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -919 (base 12) to base 13.\nAnswer: -7a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.451259 rounded to two decimal places?\nAnswer: 1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17290054 a multiple of 444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62576, 62566, 62550, 62528?\nAnswer: 62500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 39 = 5*i + 92 - 42 - 46, 5*o + 4*i = 28 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*v + 6 = 4*v, 1 = 2*i - 3*v. Solve 2 = -q - i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 5*k + 4. Let a be d(6). Let n(g) be the first derivative of 2 + 3*g + 5\/2*g**2. Calculate n(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 1202?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-20)*(-8)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 11*k - 8 = 0. Suppose 77 = -k*a + 197. What is the greatest common factor of a and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**4 - 3699*h**3 - 8*h**2 - 2452531*h wrt h?\nAnswer: -24*h**2 - 22194*h - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 z when four letters picked without replacement from {z: 1, l: 3, w: 6, i: 3, n: 3}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -466 in 1\/5, -4\/17, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169 + -146. Calculate the common denominator of s and 67\/39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1336*w - 729. Let t(k) = 17*k. What is l(t(s))?\nAnswer: -22712*s - 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + z - 1. Suppose 0 = -2*q - a + 5, 4*q - a + 2 = a. Let y be w(q). What is the least common multiple of 1\/((4\/4)\/y) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 13. Let p = t + -13.9999982. Round p to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -190*c**5 - 520*c**2 - 676. Find the second derivative of v(r) wrt r.\nAnswer: -11400*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355342 + 183486 - 55728 = 100*b. What are the prime factors of b?\nAnswer: 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oj when two letters picked without replacement from {s: 3, j: 1, b: 3, k: 7, c: 2, o: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.9536922 days?\nAnswer: 82399006.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 2 + 10, 4*b + 4 = 4*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783146 is divided by 319.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**5\/60 - n**4\/24 - n**2. Let z be p(-1). Suppose s = -3*o + 3*s, -o + 3*s = z. Solve o = -v - 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/((-4)\/(-416)*-2). Let m = -4975\/6 - p. What is the common denominator of m and -103\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4 - 4 + 3*q. Let s(t) = 3*t + 0*t - 4*t. Determine d(s(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -33*n**5\/4 + 5*n**4 - 5*n - 5. What is the third derivative of f(t) wrt t?\nAnswer: -990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202879158 a multiple of 1398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 - 6*s - 5. Let r be v(5). Suppose -3*a + 5*m = -30, -a + 2*m = -2*a - 1. Suppose -a*h = -0*h - r. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2668 = -6*n - 802. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619211943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((-1)\/(-1 + 0)). Suppose q*m + 3 = -3*y + 121, m - 49 = y. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + 5\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/l*l*l\/((l*l**(-2\/3)*l)\/l))\/(l**6\/((l**4\/l*l)\/l)) assuming l is positive.\nAnswer: l**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -631855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -25, 6, -148, 0.\nAnswer: -148, -25, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52206038.\nAnswer: 2, 37, 41, 17207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -599329, -599328, -599331, -599338, -599349?\nAnswer: -599364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84122 + -84121.4. Let h = -0.57 - -0.38. Which is the biggest value? (a) -3 (b) o (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 3 = 8*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -393.9.\nAnswer: -118.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 16) to base 8\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1509.86933\nAnswer: -1510.86933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 678121?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 1477 = 1621. Solve -5*y + 2*p = -u, -3*y - 3*p + 12 + 6 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 45 = -25. Suppose -7 = u - 2*s, o*u + 4*s = 9*u + 12. Solve -4*w = u - 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20841?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49626?\nAnswer: 2, 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 98961 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 543245, 543241, 543243, 543257, 543289, 543345, 543431?\n\"Answer: s**3 - 3*s**2 - 2*s + 543249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4)\/(p*p**9*p)*(p*p**(-13\/5))\/p**0 assuming p is positive.\nAnswer: p**(-83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 4*b + 16, 3*r - 73 = -r + 5*b. Let t be 4\/(-2) + (0 - 1). Let a = 3 + t. Solve a = 5*p - r - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -587*t**2 - 5*t - 5551. Let w(a) = -880*a**2 - 8*a - 8331. Let f(r) = 5*w(r) - 8*y(r). Differentiate f(u) wrt u.\nAnswer: 592*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55 - 22?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 640298546 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -4*i - 10, -3*i - 3 = 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence too when three letters picked without replacement from tooooooootoooooooooo.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 593388 by -65932.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8472 take away -0.139?\nAnswer: 8472.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 683941 and 15164.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.1156 in -6, 1\/6, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 314*t + 2247.\nAnswer: -(t - 321)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 431 (base 12) to base 13\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggffgggfffffffghgf. What is prob of picking 2 f and 2 g?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -36. Suppose -a - 6 = -0*l - 3*l, -5*l + 10 = -5*a. Suppose l*d - 1 = c. What is the second smallest value in -2, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -3. Let h = j + -7.2. Let x = 1.5 + h. Which is the third biggest value? (a) 2\/15 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 + 83. What is the highest common factor of u and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**4\/8 - o**3\/3 + o**2. Let a be c(4). Solve z - a = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.984 + 0.016. Let n be (1 - 1) + 6\/2. Suppose 4*x - 5 = 2*i - n, 4*i = 2*x + 8. Which is the closest to 2? (a) 2\/3 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.678225mm to micrometers.\nAnswer: 9678.225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 4*g. Let y(c) = -c**3 - 3*c**2 + 12*c - 1850. What is 3*r(f) - y(f)?\nAnswer: f**3 + 1850","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 338504 + -127954651\/378. Find the common denominator of 37\/594 and f.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from syyss.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 3983520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*c = -24, 0 = -4*o + c + 7 - 39. Let h(u) = 2*u**2 + 124*u - 134. Let a(n) = n**2 + 83*n - 89. Let w(x) = o*a(x) + 5*h(x). Factor w(y).\nAnswer: 2*(y - 21)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/(-21)*(-14)\/4. Factor 15*s - 20*s**2 + 4*s**2 - 10*s**2 + h + 5*s**2.\nAnswer: -3*(s - 1)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2541 is divided by 838?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1915486, -2\/7 in descending order.\nAnswer: -2\/7, -4, -1915486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1335*d**3 - 2680*d**2 + 20*d = 0. Calculate d.\nAnswer: 0, 2\/267, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/5 - 10\/50. Let k(f) = -6*f**2 + v*f**2 + 4*f**3 + 3 - f**3 - 6*f - 4*f**3. Is 13 a factor of k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00432 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-18))\/((56\/(-6))\/2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9062*k**2 - 4545*k**2 - 4519*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1208138 by 5.\nAnswer: -1208138\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 258 = w - 101, -w + 355 = -r. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5327 + ((-348)\/(-145))\/((-2)\/(-5)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 186095*w**2*y**2 + 35*w**2*y - w**2 - 3*w*y + w - 16 wrt y.\nAnswer: 372190*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (57 + -59 - (1 - 1)). Let j = 1.29 - 0.29. Which is the closest to 0.04? (a) -5 (b) j (c) f (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 16*l**3 + 13*l**2 + 16*l - 5. Is z(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -213464*o. Let i(q) = q**2. Give i(w(c)).\nAnswer: 45566879296*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 526 divide 118793944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-13)\/i)**(2\/19)\/((i*i\/i**(2\/123))\/(i*(i\/i**11)\/i)))**(12\/5) assuming i is positive.\nAnswer: i**(-25160\/779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443398474.\nAnswer: 2, 221699237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 479015 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 494.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/426337 - -2984357\/852674. Let -7\/2*j - 15\/2 + z*j**2 - 1\/2*j**3 = 0. What is j?\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002555479 to seven dps.\nAnswer: 0.0000256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 6*b + 4. Let q be h(7). Does 20 divide (-9 + 8)\/(q\/795*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - s**2 - s - 1. Let r(p) = -37*p**3 - 28*p**2 - 5*p - 5. Let d(x) = 5*g(x) - r(x). Find the third derivative of d(m) wrt m.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122400\/2448*(-1)\/(-10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -47038, -47036, -47034, -47032?\n\"Answer: 2*g - 47040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*k + 48*k - 82*k - 6*k.\nAnswer: -81*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 526784 (base 13) to base 10.\nAnswer: 1928060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 144\/5 - 29. Let t = -1.6 - 0.4. Let p = t + 0. What is the nearest to p in -2, -1\/6, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.95 in -2, -1.5, -4, -0.699, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4854 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 738 = -t, 4*t + 193 = 3*i - 2*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f\/(f\/(f\/(f**(3\/26)\/f)))*f*f**(-16)*(f\/(f**(-1\/13)\/f*f*f))**(-5\/8) assuming f is positive.\nAnswer: f**(-1161\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -0.9. Let o = 1 + -1.2. Let x = -5 + 9. What is the nearest to -1 in c, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6060 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 y when four letters picked without replacement from yyyyiyytv.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 438 + -181. Suppose -5*m - 5*u + 1365 = 0, q = m - 4*u + u. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134 + -65. Let r = c - 42. Solve -2*k - k - r = -3*i, k - 3*i = -19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 374668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 460*y - 30. Let i(a) = -a. Let b(f) = -3*i(f) - l(f). Suppose 0 = -12*d - 31*d + 430. Let c be b(d). Round c to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + 128*r - 19 - 42 + 10*r.\nAnswer: 138*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, 8, 24, 50, 86, 132, 188?\n\"Answer: 5*a**2 - 9*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -11*p**7\/7 + p**4\/4 + 73*p**3\/3 - 76. What is the third derivative of z(h) wrt h?\nAnswer: -1320*h**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 3. Let t = 0 + h. Let y = -596 - -601. Is y < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/42 and 50\/33.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 14022*d + 3*d**4 - 14009*d - 13*d**2 + 12*d**2 - 28 as l*d**4 + i*d**3 + y + k*d + p*d**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*l, l = 4*q - 114 - 197. Suppose 3*z - 90 = -3*i, -5*z + 5 - q = -2*i. Suppose 3*k + i = 5*k. What is the remainder when k is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12105 is divided by 12074.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 3. Let q be a(6). Suppose -g = -q*w + 15, -g - 2*g = 4*w - 7. Suppose i + 3*i = w. Which is smaller: -1\/3 or i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1053 divided by -6?\nAnswer: 351\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 96.35 + 541725.\nAnswer: 541821.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.70777 rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.029586*0.02\nAnswer: -0.00059172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 divided by -159?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1008 + -0.116. Round j to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**7\/5040 - i**6\/1080 - i**5\/720 - 3*i**3 + i**2. Let m(p) be the first derivative of g(p). Solve m(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790*m - 72 = -781*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 5*y - 5. Let s be ((-6)\/2)\/((-1)\/15). Suppose -4*z + 2*i + s = -11, -4*z + 3*i = -54. Let l = z - 10. Give k(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8707 = -l + q, -4213 = -l - q + 4484. What is the thousands digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*(z\/z**10)\/z))*z)\/z*z*z*(z\/(z\/(z*z**(-3\/7))))\/z*z*z*(z\/z**2)**(-3\/31) assuming z is positive.\nAnswer: z**(-1157\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -27*h + 18. Let a(t) = t - 8. Let f be a(0). Let q be p(f). Let s(d) = d**3 - d + 39. Let w be s(0). Calculate the highest common divisor of w and q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 745641141*q**4 - 1479214*q**2 - 47*q wrt q?\nAnswer: 17895387384*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 171 (b) -26\/5 (c) 17.58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.9 + -15.1. Sort 2, -1, t, 5 in increasing order.\nAnswer: -1, t, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2735090000 to the nearest one million.\nAnswer: -2735000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 = -o. Let a(c) = 8*c - 6*c - o - c. Determine a(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38752743 not equal to -38752740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**6\/2 - 36*d**5\/5 + 45*d**4\/2 - 28*d**3 + 27*d**2\/2 - 1603. Let q(t) = 0. What is t?\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(350)\/(-2*sqrt(847)).\nAnswer: -5*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 11*x + 5. Let f(v) = 13*v + 6. Let l(k) = 6*b(k) - 5*f(k). Let o(w) be the first derivative of -w**2\/2 - 1. What is l(o(n))?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 3*y - 1. Let k be w(-2). Let m be (-2)\/8 - (-3)\/(-20). Let t = -806 - -804. What is the second biggest value in m, k, -3, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -94.9, 33, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268 and 5762?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 8. Calculate the least common multiple of j(-22) and 77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 - 1213?\nAnswer: -2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from pzpkbzzzzzzkz.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/105*5)\/(1\/(-2))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 123003312?\nAnswer: 123003330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 729814 (base 13) to base 3.\nAnswer: 12001000120211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 36 - 5*c)*(-4 + 3 + 2)*(3*c + 7*c - 6*c).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/20 in 0.3, -1\/8, 0.4, -21?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 194933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, 0.9, 5\/3 in decreasing order.\nAnswer: 5\/3, 0.9, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**3 + 3*l**3 + l**3 + (7 - 7 - 4*l**3)*(1 - 5 + 0) as s*l**3 + o*l + h*l**2 + i and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*h**3 - 47*h**3 - 56*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(17) + 1) - (2 + sqrt(272) - sqrt(17)))**2*-4.\nAnswer: -5764 - 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48549209 - 26879209. What is t rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m + 7*m**3 + 2 - m - 2 wrt m.\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3131826629215 and 0.5.\nAnswer: 3131826629215.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2860 and -85\/256476.\nAnswer: 16670940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 43. Solve i*c - 2*c = -6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 117*i**2 + 49*i - 40555?\nAnswer: 234*i + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -1, -1\/8, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282529252?\nAnswer: 2, 29, 2435597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 3. Let s be i(-6). Let r(c) be the second derivative of -c**4\/12 - 5*c**3\/3 + c**2 - 2*c - 6375. Give r(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-601*i**3 - 234*i**3 - 253*i**3) + 2*i**3 + 3*i**3 - 3*i**3.\nAnswer: 1090*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 84 = -5*n + 23, 2*z = -6. Suppose 2*o + 3*l + 1068 = 5*l, -5*o - l - 2682 = 0. Calculate the smallest common multiple of n and o\/(-24) + 2\/(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-82)\/(-1804))\/(((-13)\/117)\/((-2)\/(-12)))?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 113 + 673?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 14 + (10 - 22)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 u when three letters picked without replacement from {j: 1, y: 1, z: 1, u: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 - 24*b + 3. What is h(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -37*w + 75*w - 39*w. Let v(s) = 3*s. Let k(a) = a**3 + 11*a**2 + 10*a + 2. Let l be k(-10). Let g(f) = l*n(f) - v(f). Let o(u) = u**2. Give g(o(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 2. Let k be 1*3\/((-12)\/(-4)). Let n be (-5)\/k*(1 - 2). Put n, -2, t in decreasing order.\nAnswer: n, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12337 = 10*q + 4157. Suppose -2*p = 5*k - 0*p - 1024, -4*k - p = -q. What are the prime factors of k?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 6)*(-4*w + 2*w + 0*w) + 0 - 2*w + 0 + 2 + 3*w - 2 + (-4*w - w + 4*w)*(-2 - 5 - 2) + 0*w - w - w as n*w + r and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*((g**(2\/3)*g)\/g)\/g))\/g*g**19)**(7\/4) assuming g is positive.\nAnswer: g**(385\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**6\/120 - o**4\/6 + 2*o. Let u(q) be the third derivative of b(q). Let d(c) = -56 + 56 + 2*c. What is d(u(m))?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -16*t**3 - t**2 - 3*t - 2. Calculate u(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(2184\/(-26))*944\/(-531)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2901\/3439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 60*x + 316. Determine c(-72).\nAnswer: 1180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 + 27 = -115*h - 3*d, -3*d - 7 = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*y**2 - 16*y - 14*y - 3*y + 208*y**2 + 33*y.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712 = 2*z + 4*m + 164, -4*z + 1108 = 5*m. Let r(w) = -7*w**2 - w - 6. Let h be r(5). Let k = z + h. Calculate the greatest common divisor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -11. Let f be (5 - 6) + (w - -1). Let y(d) = -4*d**2 + 6*d**2 - 4*d**2 + f*d**2. Let s(k) = -2*k. Determine y(s(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/17 (b) -1 (c) -2 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 231*w + 1036. Give a(-4).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q. Let a(b) = 5*b + 3. Suppose -3*r + 12 = 5*z, 0 - 1 = -2*z - 5*r. Let o(p) = -15*p - 8. Let c(m) = z*o(m) + 8*a(m). Give x(c(j)).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/(42\/(-858)))\/(-1). What is the third derivative of -38 - 17*i**3 - 4*i**4 + 76 + b*i**2 - 38 + 154*i**2 wrt i?\nAnswer: -96*i - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 49648691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-2)\/3 + 1\/3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**2 - 3*f + 3. Suppose 20 = -3*s - 4*r, 0 = -2*s - 4*r - 25 + 5. Let c(b) = 4*b**2 + s*b**2 - 7 + 7*b + 5*b**2. Give 3*c(n) + 7*t(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 100*t - 8543 + 10643 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o. Let i(k) = -k. Let b(p) = -3*p. Let u(h) = -3*b(h) + 3*i(h). Let v(y) = -2*y**3 + 39*y**2 + 65*y - 30. Let w be v(21). What is w*l(f) + u(f)?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 - (-16 + -15)) + 33 - (7 + 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(72)\/sqrt(4)*4*-1)\/(-3*sqrt(150) - (sqrt(216) - -2*sqrt(216))).\nAnswer: 20*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/3 (b) 2 (c) 29\/3 (d) -0.71 (e) -27 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 3*h - 8. Let d(i) = -i**2 - 5*i - 4. Let f be d(-5). What is the remainder when ((-58)\/f)\/((-1)\/(-2)) is divided by l(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 - 18*h**2 - 4*h - 4. Let d(q) be the first derivative of q**3\/3 + q**2\/2 + q - 769. What is -4*d(r) - o(r)?\nAnswer: -2*r**3 + 14*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-16))\/((-18)\/(-4))*(-606)\/(-2828)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -83053?\nAnswer: 3\/83053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(180) + -2 + sqrt(180))**2 + 4.\nAnswer: -48*sqrt(5) + 732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -154 - -163. Suppose -3*l = -w - 3, -5*l + 10*w + 3 = a*w. Sort 5, l, -5, 22.\nAnswer: -5, l, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.018 - -17.018. What is the nearest to j in -30, 1\/2, 12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 767840426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3 - 6*y**3 + 2*y**3 + 3*y**3 + 3*y - 2*y**2 + 3*y**3. Is p(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -28, -33, -32, -25?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + -3 + -5 + 7 - -4. Let x(k) be the third derivative of 0 + 1\/100*k**6 + 0*k**3 + h*k + 1\/60*k**4 - 4*k**2 + 2\/75*k**5. Factor x(z).\nAnswer: 2*z*(z + 1)*(3*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/17)\/(0\/3 + -2)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 73*t - 139461 = 0. List the prime factors of t.\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c\/(c\/c**(-2\/3)))**(11\/4)*((c**(2\/23)\/c)\/c*c)\/(c\/(c**(-6)*c)) assuming c is positive.\nAnswer: c**(-137\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-188)\/4042 + 45\/43. Which is the second biggest value? (a) -30 (b) -3 (c) s (d) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, 23, 87, 175, 287?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/96*(-30)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 84, 160, 344, 684, 1228, 2024, 3120?\n\"Answer: 8*x**3 + 6*x**2 + 2*x + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54681 by -33.\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 135 = z - 1532, 4*z + 4*f = 6632. Let d = 3838 - z. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 6*k**2 + 4*k + 7. Let w = 33 - 29. What is the least common multiple of 30 and h(w)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 10*k**2 + 11*k - 11. Let y(r) = -r**3 - 10*r**2 + 12*r - 11. Let v(o) = 2*d(o) - 3*y(o). What are the prime factors of v(-11)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5)\/s)\/(s\/s**(-2)))\/(s**0)**44 assuming s is positive.\nAnswer: s**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.0235 times -4\nAnswer: 0.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 481*y - 477*y + 6, -3*y - 1 = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -246596*c**5 + 2*c**4 - 676375*c.\nAnswer: -4931920*c**3 + 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2. Let o(k) be the second derivative of 677*k**4\/12 + 757*k. Give p(o(q)).\nAnswer: -458329*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r. Let t(u) = 64739005*u. Determine t(p(q)).\nAnswer: -129478010*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 373346\/(-14130) + (-108)\/(-4) + (-2)\/(-9)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2\/29)*y*y)\/y*y*y*(y*y**(-8))\/y)\/((y*(y*y\/y**(-7))\/y)\/y**(-1\/3)))**(-37) assuming y is positive.\nAnswer: y**(46361\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -8*v + 56. Solve -v = -5*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -45*c - 1486. Let d be g(-33). Put 111, 3, d in descending order.\nAnswer: 111, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 8*k**2 + 5. Let l be r(8). Suppose 6*f = f + l*a + 90, 3*f - 59 = -2*a. Solve -3*t + 27 = 5*p, -5*p + f = 5*t - 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 2. Let b = k + -3. Let p = -362\/5 - -73. What is the nearest to -2 in b, p, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -3, 0.05, 19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 + -114. Suppose -4*c - 12 = -m*v, 5*c - 3 = -3*v - 2. What is the closest to 3\/4 in -0.1, c, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 948, 981, 1014, 1047?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/11))**48\/((u**(-1\/4)*u)\/u)**(2\/45) assuming u is positive.\nAnswer: u**(-12949\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34793, 34772, 34701, 34556, 34313, 33948, 33437, 32756?\nAnswer: 31881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/90 - (-2)\/4. Let u = 566.48 - 2.48. Let f = 563.9 - u. What is the smallest value in 0.5, 1\/4, w, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10648, -21558, -32514, -43516, -54564?\n\"Answer: -23*n**2 - 10841*n + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 4. Let b be z(7). Let x = 5.06 + -0.06. What is the nearest to -1 in 0.1, x, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.167 - 0.133. What is the second biggest value in k, -0.0588, 0?\nAnswer: -0.0588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -8, -2, 5, -249 in descending order.\nAnswer: 5, 3, -1, -2, -8, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -536*u + 7 + 3*u**2 - 4*u**2 + 532*u. Determine b(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = -5*l + 12*l. Solve 2*i + 3*a = -l*a + 4, 3*i - 3*a = -24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*d + 93*d - 67*d.\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v. Let r(c) = -31*c**2 - 7. Let h(o) = -10*o**2 - 2. Suppose -14*g - 4 = -16*g. Let p(m) = g*r(m) - 7*h(m). Give a(p(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9530*j + 9528*j + 9556*j - 28614*j - 33*j**3.\nAnswer: -33*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3\/2 - 70*y**2 - 3505*y\/2 + 17220.\nAnswer: 5*(y - 41)*(y - 8)*(y + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7\/2 (b) -2 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 15\/4*y**4 + 0*y**2 - 2 + 0*y**3 - 3*y. Differentiate h(f) wrt f.\nAnswer: 45*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151998 and 13398.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.86 - -2.72. Let c = 16.7 - z. Round c to one decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/5 + 9\/5. Which is bigger: u or 1\/10?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 1, y: 1, c: 2, j: 1, e: 1}. Give prob of sequence jc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245 divided by 139.\nAnswer: 245\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.141 times -0.4?\nAnswer: 0.0564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*p - 28 - 0, 0 = -5*p + 4*r + 9. Let q = -135923 + 135926. Solve -10 = 2*f + 2*w - 0*w, -17 = -q*f + p*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 4*v - 7. Let l be m(5). Let p be (3 + 1)*l\/(-32). Suppose -p*h + 16*h = -24. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + u**2 - 2*u**2)*(904 - 592 - 529) + (0 - 5 + 2)*(0*u - 4*u + 2*u)*(-2*u - 1 + 1).\nAnswer: 422*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1905\/14021 + 14\/2003. Which is the fifth biggest value? (a) -2 (b) 0.35 (c) 2 (d) -18 (e) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 217367841 + -818607294041\/3766. Let r = -1\/538 + m. What is the common denominator of -77\/8 and r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.8, -2\/5, -523\/3 in ascending order.\nAnswer: -523\/3, -10.8, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -12, 773, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from ffyqmymfyy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -35\/24, 0, 1\/5, 0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 8:47 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 d, and 1 y when three letters picked without replacement from {y: 1, d: 2, i: 1, s: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -16. Factor 16 + 56*h**2 - 118*h**2 - j*h + 63*h**2.\nAnswer: (h - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 (base 4) in base 3?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 - -1.9. Let h be (-3)\/(-14)*(-12)\/9. Sort h, 1\/8, f.\nAnswer: h, f, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3942a - 1?\nAnswer: 39429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 9*r**3\/2 - 35*r**2 - 1856*r. What is w(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = f + 3*y - 0*y, 0 = -2*f - y. Let t(n) = -n**2 - 2*n + 3. Let b be t(-3). Solve -3*j - f + 11 = b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*q + 80 - 435 - 157 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 125 = -c, -533*o - 83 = -528*o - c for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a factor of 225717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 175\/3 less than 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1776 and -61\/20.\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000828886 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((5*sqrt(76)*1 + 2 + sqrt(76) + -3)*5)**2 + 1).\nAnswer: -1800*sqrt(19) + 205278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10308\/13 or -793?\nAnswer: -10308\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {r: 15, q: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 2\/15 (c) -1055 (d) -0.4 (e) -2 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -3061.527?\nAnswer: 3063.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35859, 35867, 35879, 35895, 35915, 35939?\nAnswer: 35967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f + 4. Let r be p(4). Let j(d) = -6 + 8 + 0*d**2 + d**2 + 13*d. Let c be j(r). Is -2\/5 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bccc. Give prob of picking 2 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)\/((p*p**(-1\/7)*p*p)\/p))\/(p*p**(-1)*p**13) assuming p is positive.\nAnswer: p**(-326\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a decade in months?\nAnswer: 1830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 11:45 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w**3 + 5*w. Let m(v) = 154*v**3 + 10*v - 134*v**3 + 5*v. Give 17*i(u) - 6*m(u).\nAnswer: -u**3 - 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/((h*h**24)\/h*h))\/h)\/(h**(2\/9)\/h*h) assuming h is positive.\nAnswer: h**(-218\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2827*o**2 + 2827*o**2 - 65*o**3.\nAnswer: -65*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816*z + 56896 = -218*z - 49*z + 67*z for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-4 - 1 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 917236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 18 + 13 - 13 + 20*m + 9.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -83, -46, 7, 70, 137, 202, 259?\n\"Answer: -q**3 + 14*q**2 + 2*q - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 e when four letters picked without replacement from rrxeqatqqrrrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/((u\/u**(-7\/4))\/u*u))**(4\/5) assuming u is positive.\nAnswer: u**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20821 + 20936. Calculate the remainder when 503 is divided by b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273328110 divided by -43593.\nAnswer: 6270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432539 is divided by 432528.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2619*-0.5\nAnswer: -0.13095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1245 + 0.1755. Let a = 23\/39 + -12\/13. Let t = -29 - -32. What is the closest to i in a, t, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 89950, -0.3, 0, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12399264 to the nearest integer?\nAnswer: 3521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 71*t - 10. Let h(a) = -2*a**2. Give s(h(m)).\nAnswer: -142*m**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmx when three letters picked without replacement from mmmmxmmxmxmmmmmmmmmx?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -73766, -147531, -221298, -295067?\n\"Answer: -y**2 - 73762*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -y + 320. Let u = -45 + y. Solve 3*o + u = 4*q, o - 7 = -2*q - 0*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 3*j - 10. Is 11 a factor of v(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 949.9603 millimeters to centimeters.\nAnswer: 94.99603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 587453241 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 15, -2*y + y - 4*u - 9 = 0. Suppose 2*c - c = y. Calculate the greatest common divisor of 9 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 + 16*m**2 - 66*m - 98. Let s be o(31). What is s rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.8 take away 0.2?\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b - 45*b = -95*b - 414 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 807.9 (b) 0.98 (c) -0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 1 - 1)*(130*j**3 + 81*j**3 + 5*j - 5*j).\nAnswer: -211*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m + 17. Let y(h) = -5029 + 15058 - 4994 - 5001 + 4*h. What is 5*c(i) - 3*y(i)?\nAnswer: -2*i - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-14)*(-128)\/(-64).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j + 1. Let x be u(2). Suppose -3 = -2*z + x. Suppose z*v - 3*t = 62, 0 = -2*v + 5*t + 7 + 33. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -29*s + 87. Let p be j(3). Suppose -4*i - k + 1934 = p, 0 = 4*i + 15*k - 10*k - 1926. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.1. Let t = 2.8 - 6.8. Let f = 2 + -1.9. What is the biggest value in t, f, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p. Let o(q) = -2*q - 3. Let a(n) = -6*l(n) + o(n). What is a(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 77?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -3.9 (c) 0.0817 (d) 2\/11 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4*k - 9 = -7*k, -5*k = -30 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -18, 0.4, -0.1, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/6, 7, 2\/5, -8\/5, -0.09, 157\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3382.\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5746, 5, 18, 37 in decreasing order.\nAnswer: 37, 18, 5, -5746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -519*k + 24379. Determine c(47).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -11*t**4\/6 - 5*t**3 - 13*t**2. Let z be h(9). Round z to the nearest ten.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -160?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + 9 + -4 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -110*p**2 + 3*p + 40. Let j(l) = -109*l**2 + 3*l + 39. Let t(b) = -2*j(b) + 3*r(b). What is the second derivative of t(h) wrt h?\nAnswer: -224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o**3 - 8*o + 8*o.\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60497029 and 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2, 3\/4, -1\/163, 0.12, -7\/5?\nAnswer: -1\/163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -1\/6 (c) -2 (d) -4 (e) 4 (f) -177.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 + 2. What is the hundreds digit of f(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 8. Let w be (70 + 1 - f) + -4. Suppose 0 = 3*k - r - w, r - 2*r - 85 = -4*k. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-437 - -432) + (0 - (1 - -3)) - (-20 + -1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (27 - 0) - ((265 - 213) + -39) - 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2180\/12208)\/((-4)\/16).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from diddddddddddd.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955882 is divided by 1710.\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**3 - 7*t**3 - 2*t**3 + 2*t + 6*t - 14*t**3 + 42*t**3.\nAnswer: 9*t**3 + 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**2 - 8*s - 6. Let l(o) = -5*o**2 - 15*o - 11. Suppose -3*y - 7 - 11 = 0. Let v be (-3)\/((-72)\/282) + y\/8. What is v*w(m) - 6*l(m)?\nAnswer: -3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 488 = 5*n. Let m = n - -351. What is m rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -239418*f + 17349 wrt f?\nAnswer: -239418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000093 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 950*l - 315*l - 317*l - 318*l + 2*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*s, 6*g - g = 2*s. Let u(n) be the second derivative of 1\/10*n**5 - 1\/3*n**3 + g - 2*n - 1\/6*n**4 + n**2. Determine t so that u(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 5 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 18. Let j(f) = -2*f**2 - 5*f + 5. Let y(c) = 5*c**2 + 9*c - 11. Let n(k) = 7*j(k) + 3*y(k). Let p be n(r). Solve v + 5 = p*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2232720?\nAnswer: 2, 3, 5, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 30712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28586395 or -28586396?\nAnswer: -28586396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 5*k - 2*k)*(-2*k - 1 + 1) - 7*k**2 - 2*k**2 - 11*k**2 + k**2 - 4*k**2 - 2*k**2 to u*k + n*k**2 + q and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u, 5*u - 112 - 3750 = 2*s. Let h = 11695\/6 + s. Let p = -39\/83 - 4087\/664. Calculate the common denominator of h and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-20))\/(300\/875).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27145*q + 54291*q - 27141*q - 241 = -2*r, r = 3*r - q + 41 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1. Let a(s) = -s**2 + 3*s + 4. Let i(g) = g**2 - 10*g + 1. Let l be i(10). Give l*a(q) - 2*k(q).\nAnswer: -q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386 = 43*l + 85. Suppose -4*g + 215 = 55. What is the remainder when g is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(297) - (sqrt(297) - sqrt(297)*-1))\/sqrt(9))\/sqrt(3) - (2 + ((sqrt(11) + sqrt(11) + sqrt(275))*-6)**2)).\nAnswer: -97030 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1494 and 4316.\nAnswer: 38844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 0 - 3)*(-5200)\/195. Suppose 0 = -d - 9*d + n. Factor 2*w**2 - d - 10*w + 3*w**3 + 7*w + 6.\nAnswer: (w - 1)*(w + 1)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -2 + (4 - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10099864456 - 57*g**3 - 5049932229 - 5049932227.\nAnswer: -57*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g*i*w**5 + 2*g*i*w**2 - 3*g*i*w - 219*g - 2*i*w + 207*w**5 wrt w?\nAnswer: -180*g*i*w**2 + 12420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/(s**(-1\/4)*s))**32 assuming s is positive.\nAnswer: s**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/11 - 3834*p\/11 + 219244\/11.\nAnswer: 2*(p - 1858)*(p - 59)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9.523 - 0.1\nAnswer: 9.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**4*x - h**4 - 11*h**3*x + 6*x - 13 wrt h?\nAnswer: -4*h**3*x - 4*h**3 - 33*h**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 809316*t**2*w**2 + 424*t*w**2 + 144*t wrt t?\nAnswer: 1618632*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 2*m = -5, 2*c + 18*m = 15*m - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2) + (-75)\/(-6). What is the remainder when (-104)\/12*105\/v*-1 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6)*0 - 46. Let l = -22 - g. 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: Suppose 4*r + 2*a - 69768 + 12968 = 0, 4*r - a - 56800 = 0. Differentiate -14116 + r - 98*u**2 + 92*u**2 + 247*u**2 with respect to u.\nAnswer: 482*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**4 + 544*f**3\/5 - 6854*f**2\/5 - 2480*f = 0?\nAnswer: -8\/5, 0, 25, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219281 is divided by 179?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*-1*(1 + sqrt(13)) + (sqrt(52)\/sqrt(4) + 5)*-2)**2.\nAnswer: -84*sqrt(13) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 1\/8*i**4 - 1\/20*i**6 + i**2 + 1\/112*i**8 + 0*i**5 + 0 + 0*i**3 + 0*i + 0*i**7. What is q in k(q) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3)*c)**(2\/9))**(-2\/29)\/((c\/c**1)**(-5\/11)\/((c\/(c\/(c*c*c**(-1)*c)))\/c)**(-15)) assuming c is positive.\nAnswer: c**(-11761\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*k + 3536118 - 3566400 = 0 for k.\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azha when four letters picked without replacement from ahzaaaakk.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6336 and 1137312?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1760, -3508, -5256, -7004, -8752?\nAnswer: -10500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 10*r = -21. Suppose -375 = 2*f - r*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 65 + -30 + -44.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*p - 3*a = 50*p - 36, -p - 2*a + 4 = 0. Suppose -84 = w - 216. What is the highest common divisor of p and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 14 + 1. Suppose 31 = m - 12. Calculate the remainder when m is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*o - 48, -4*o + 10 = -2. Suppose 3*z - 12 = -6. What is the remainder when (2\/(-4))\/(z\/(-92)) is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2044 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900 is divided by 83.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + q - 3. Let x(g) = -4*g + 5. Let y be x(2). Let h be f(y). Solve 3*o - 2*o + h = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -25*d**2 - 7*d - 9. Let t(i) = -13*i**2 - 4*i - 5. Determine -4*h(j) + 7*t(j).\nAnswer: 9*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 70, -5, -1 in ascending order.\nAnswer: -5, -1, 0, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1786 rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*h - 8 = 0, -10 = 5*h - 0*h. Sort y, 1, -2 in increasing order.\nAnswer: -2, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -3. Solve 4 + z = -5*b - 5*j, -3*j + 9 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -347 * 41171.\nAnswer: -14286337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 228951719309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((840\/36)\/14)\/(5\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 21326?\nAnswer: -2132a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -136 + 141. Which is the second smallest value? (a) 3\/4 (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u + 135. Let o be q(23). Is 5032 + (7 - (o - -3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 44 = 139. Suppose -60*i - 53 = -o*i. Let h = i - 23. Does 30 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*252\/(-112)*1560\/900.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*r - r - 72, -3*r - 2*n + 286 = 0. Let q = 163 - r. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.001 + -0.001132. What is v rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -4*h + 5. Suppose h*t = 7*t. Solve -5*z - 15 = -t*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**6\/2 - 197*h**4\/2 - 4*h**3\/3 + 5851*h**2 + 6696. Find the second derivative of s(z) wrt z.\nAnswer: -60*z**3 - 2364*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605378 divided by 2?\nAnswer: 302689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26131995 is divided by 3266493.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 57*k**3 + 9*k**2 - 16*k + 21. Let o be d(4). What is the greatest common factor of 23 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/17 and -38\/86173.\nAnswer: 86173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-4) + 3 + 0. What is the second derivative of h**o + 6*h - 9*h**4 - 7*h**3 + 7*h**3 wrt h?\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 387839267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (9 - 5 - 7) + 15 + -21.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*6\/9*1. Solve 0*d - d - 11 = -3*k, 6 = s*k - d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -69510.225 to the nearest 100.\nAnswer: -69500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/9)\/n*n**(-6)*n**11*n**(-1\/4) assuming n is positive.\nAnswer: n**(143\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-30))\/((-18853)\/188530).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64542*i - 32270*i - 4304*i**2 - 32272*i to the form j*i + d*i**2 + f and give d.\nAnswer: -4304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*d - 16, 4*u + 17 = 4*d + d. Factor 2*r**2 - 2*r**3 + r**2 - 3*r**2 - 2*r**2 + 2*r + u*r**4.\nAnswer: 2*r*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/26 and -64\/2379.\nAnswer: 4758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + -0.21. Sort -2, -1, x.\nAnswer: -2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 6*c**2 - 7*c + 7. Let d be w(-7). Let p be d\/(-2)*(-8)\/14. Suppose p = n - 9. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25\/4, -5, -9, 0.5 in increasing order.\nAnswer: -9, -5, 0.5, 25\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 - 41*a**2 - 2165*a**2 + 1 as j*a + z*a**2 + s and give z.\nAnswer: -2206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.0691, 1, 2, 1\/4?\nAnswer: -0.0691","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -593 - -591.45. Let g = m + 1.15. What is the smallest value in 156, -1\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 296201*o**3 - 2*o**2 - 129425*o.\nAnswer: 1777206*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 340*g + 339*g = 26, -5*i + 4*g + 5 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1847*c**2 - 258*c**2 + 1011*c**2 - 2622*c**2.\nAnswer: -3716*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, 3 in decreasing order.\nAnswer: 3, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -13201?\nAnswer: -13133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59616018167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*d**3 + 7*d**3 - 10*d**3.\nAnswer: -46*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1210 - -1212. Solve a*i = 2*z - 6, -8*i - 5*z - 1 = -5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 105*j**2 - 120*j + 220.\nAnswer: 5*(j - 22)*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66307*r + 66205*r = -714 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422 = -2*j - 0*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**3 - 1062596*g**2 + 70592231468*g - 3033501531148 = 0. Calculate g.\nAnswer: 43, 132803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 761 and 44561116.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/12)\/(5\/(-6)). Suppose -a*j + 18 = -4. Suppose 0 = 6*n - j*n + 185. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 2*p - 7, -5*v - 3*p = -10 - 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7))**(-27\/7)\/(l*l\/(((l*l\/(l*l**(-2\/5)*l))\/l)\/l)*l*l**(-8)*l) assuming l is positive.\nAnswer: l**(318\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588 - 564 = -6*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19086?\nAnswer: 2, 3, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 42 + 62 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497117160 a multiple of 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c**2 - 1. Let p be v(-1). Let u(m) = -m**2 + 7*m + 10. Let b be u(p). Suppose -3*n + 15 = b*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffpzfzflplffid. What is prob of sequence df?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 2*o**2 - 6*o - 4*o**2 + o + 3. What is p(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -19.921. Let g = l - 0.309. Let w = -0.348 - g. What is w rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 23*u + 16666 = -18321, s = -u + 8780. Does 87 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -7*u - 8. Suppose -15 - 38 = -3*z + u*b, 0 = -4*z - 5*b + 63. Let x = 18 - z. Solve 0 = -c - 0 + x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35643?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 3935223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-35*16\/(-56). Which is the fourth biggest value? (a) -2\/5 (b) -0.5 (c) o (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2. Let i(h) = 2*h - 4*h - 2*h + 2*h. Give r(i(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1020)\/(-27) - (-6)\/27*1. Let w = 60 - g. What is the remainder when 87 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0, 4, -1, -5 in decreasing order.\nAnswer: 4, 0, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127 + 163 - 96)*(-x**2 + 0*x**2 + 0*x**2).\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-15))\/((-90)\/(-100))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 810 and 960.\nAnswer: 25920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1.6. Let o = -277020 + 277022. Which is the closest to o? (a) 0.5 (b) t (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) 4\/3 (c) 23909\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(3*m + m - 6*m + (0*m + m + 0*m)*(1 - 1 - 2) + 5*m - m - 3*m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 440 = 2*w + l, -3*w + 455 = 4*l. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -15, 4, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - 1232320102?\nAnswer: -1232320022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186188 is divided by 960?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 6 + 20)*(4*f - 4*f + f)*(f**2 - 4*f**2 + 4*f**2) to y + b*f**3 + p*f**2 + m*f and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/((n*n**(1\/3))\/n))\/n)**(-22))**43)**(-3\/22) assuming n is positive.\nAnswer: n**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w + 5*p = 310, 5*w + 2*p = 301. What is the remainder when w is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74188354 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71 and 0.5.\nAnswer: -35.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6308\/912 - (-2)\/24.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, -5, 16, -1, -2\/5 in descending order.\nAnswer: 16, 1.3, -2\/5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 12 + 16. Suppose 0 = 3*m + 55 + 413. Let b = -101 - m. What is the remainder when b is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n - n + 7 - 6*n. Let x(p) = 6*p - 6. Let o(f) = 5*g(f) + 6*x(f). List the prime factors of o(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 436*f. Let k(b) = b. What is h(k(r))?\nAnswer: 436*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 105 = 5. Suppose -s - 2*u - x = -6*s, -4*s - 3*u + 111 = 0. Suppose 3*c - s - 108 = 0. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50759 and 32875.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 1. Suppose -w + 4 = w. Suppose -4*z = -3*r + 88, 4*r - w*z - 2*z - 112 = 0. Let l(q) = 3 - r*q + 3*q**2 + 24*q. Calculate -2*j(f) - l(f).\nAnswer: -f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 692*h - 8302. Let o be f(12). What is the nearest to -0.1282 in -4, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 2*s - 16, 3*s + 104*x - 5 = 109*x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 15*c**2 + 46*c + 4. Give l(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3131040, 3131036, 3131030, 3131022?\n\"Answer: -s**2 - s + 3131042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -537 > -3750\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24673 and 814?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from fdffdfsdgfkssdf?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0061151 rounded to four dps?\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22b4 (base 14) to base 3.\nAnswer: -22021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 - (-2 - 0) - -4. Let p(f) be the first derivative of -2 - 1\/8*f**2 - 1\/10*f**5 + 1\/6*f**3 + a*f + 1\/16*f**4. Factor p(d).\nAnswer: -d*(d - 1)*(d + 1)*(2*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/20, -38, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 74*k - 1927. Let m be r(26). Sort 2, -5, m in increasing order.\nAnswer: -5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -127*a - 63. Let l(u) = -1. Let t(k) = -d(k) + 3*l(k). Is t(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = s - 4*d, -5*s = 2*d - 4*d + 34. Let c be (3\/s)\/((-4)\/(-40)). Sort -2, c, -1\/2 in decreasing order.\nAnswer: -1\/2, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 12*u = -10*d - 32, u - 2*d = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 24, 84, 218, 450, 804, 1304, 1974?\nAnswer: 2838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 15 = 320*k - 319*k, -5*k + k + 3*p = -64 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2418?\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18664 - 18799. What is the second smallest value in i, 3\/2, -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57 and 81?\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3528?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -199 - -136. Let h be ((-3)\/w)\/((-5)\/(-60)). Put 6\/5, -1, h in increasing order.\nAnswer: -1, h, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 3*o**2 + 2*o - 7. Let r be g(3). Which is the closest to r? (a) 0.4 (b) 0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*x + 3240 = -21511 for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 14*l + 24. Let n be r(14). Let o = n + -21. Solve o*p + 3 = 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2408 is divided by 596?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 8:39 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1844 or 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 120 = -2*h, -5*h + h - 68 = -4*p. Let u be 55\/p - 5*5\/50. Solve 13 = -u*s + 23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-195)\/260)\/(708\/16)*1)\/(1\/4).\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 236661*v**2 + v + 133 - 236648*v**2 + 3*v - 2*v - 3*v as r + s*v + p*v**2 and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 23971937888.\nAnswer: -23971937887.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.19 (b) 2\/7 (c) -4\/5085\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7762334 - 0?\nAnswer: -7762334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6603 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-93)\/124)\/((-3)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1705+230130.29005\nAnswer: 228425.29005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 3*l = -1, -4*u + 108*l - 5 = 103*l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.9 - -22.47. Let j = -28.43 - o. Which is smaller: 0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2779 is divided by 870?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - n**2 + 2 + (2*n - 2*n + 2*n)*(-391 + 198 + 194 + 150*n))*(1 - 1 + 1) to d + s*n + w*n**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005227849 to six decimal places.\nAnswer: 0.000523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -39*b - 239. What is the remainder when 267 is divided by g(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-1) - -4 - -4. Suppose 0 = 8*w - o*w + 637854. Let c = -682618 - w. Round c to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7243 bigger than 7244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 34937140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - -18 - (14 + 2)) + -66?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5287698 and 354.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 12:28 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1845948*b**2 + 3179870.\nAnswer: -3691896*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/5466 and 49\/3644.\nAnswer: 10932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2*-2*(-851)\/1332 and 16\/289.\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -8. Which is the nearest to 0? (a) -4 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 80 = 2*u, 3*u - 100 = -2*g - 2*g. List the prime factors of (-2 + 1)*(u + -529).\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 > 21.455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - -453?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (196 - 196 - 33*m**3)*((2*m - m + 0*m)*(2 + 0 + 0) + 11*m - 56 + 56).\nAnswer: -429*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104897.\nAnswer: 13, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p - 14 = -69 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**2\/3 + 10*v - 40\/3 = 0 for v.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5346*k + 449111. Give n(-84).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 26*c**2 - 17*c + 320. Let w be b(22). What is the highest common factor of w and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 62 - (14 - (4 - 85))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 228204295 + 228204295.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (-3 - (-1 - -2)). Let c(q) = -139*q - 67*q - 5 - b. Is c(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 12:30 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.491 + 7.6. Let c = 0.409 - l. Let w = 91 - 641\/7. Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -10)\/(3\/6). Solve w*f + 3 = 17*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4013 - 4008. Let h(m) be the third derivative of -9\/4*m**3 + 0*m + 0 + 3\/8*m**4 - 14*m**2 - 1\/40*m**f. Find q, given that h(q) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-207620)\/280*(-1 + -9) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -2\/5 (c) 0.7 (d) 1\/9 (e) -2\/9 (f) 1\/30 (g) 45\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 8\/((-16)\/4). Suppose b = j - 1. Let h = -6 - -4. Put 1, j, h in ascending order.\nAnswer: h, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -122566*h + 20223390. Determine i(165).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60bd4 + 0?\nAnswer: -60bd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16148606603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -21*j**4\/16 - j**3\/6 + j**2\/2 + 9*j. Suppose p(c) = 0. Calculate c.\nAnswer: -2\/7, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 991606831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -49*n**4 + 9*n**3 - 21*n**2 - 9. Let q(m) = 12*m**4 - 2*m**3 + 5*m**2 + 2. Let l(z) = 2*h(z) + 9*q(z). What is the third derivative of l(k) wrt k?\nAnswer: 240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4215100 divided by 2764.\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 152 - 152. Let g(z) = -7*z**2 - 3*z. Let v(r) = 48*r**2 + 20*r. Let w(c) = 20*g(c) + 3*v(c). Determine w(n(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a0 - -23?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32183660 to the nearest integer?\nAnswer: 5673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 93 = -27. Let q = y - -87. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, r: 1, h: 9, m: 3, b: 2, w: 1}. Give prob of picking 1 m and 2 s.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.3 - 0.7. Let r = 8\/15 + -1\/5. Which is the second biggest value? (a) r (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.4257 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) -3\/56 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (63\/(-12) + -7 - 12)*124. Is -3003 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -92266 to the nearest 1000.\nAnswer: -92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5*h - 73 = -74, 11*v = h - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -316776, -316645, -316514, -316383, -316252?\nAnswer: -316121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19476 divided by 6492?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-1\/3)*y\/y**(1\/4)*y*y**(4\/3)*y**(2\/17)*((y**(4\/9)*y)\/(y\/y**3))\/(y**(-1\/3)\/y**(3\/2)) assuming y is positive.\nAnswer: y**(6005\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 12:49 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f + 12. Let y be d(3). Which is bigger: y or 26?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17717 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3824*s - 3823*s - 5. Solve s*y + 0 - 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)*2 + -4 + -2 + 3*sqrt(128)*1 + -5.\nAnswer: -11 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*n**4 + 6*n**2 + 2814*n?\nAnswer: 816*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**3 + q**2 - 2*q. Let m be o(-3). Suppose -5*u - 36 = 2*i - i, 5 = 5*u. Let h = m + i. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0131673943 rounded to 6 decimal places?\nAnswer: -0.013167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -5, 1, -2, -0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 163*g**2 + 163*g**2.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5969480 is divided by 34307.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1. Let a(z) = z - 9. Calculate -a(n) + 6*b(n).\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x. Let h(b) = 12. Let d(s) = -h(s) + 3*t(s). Let w be d(-5). Suppose -4*l + 1 = -w*r - 8, -5*r - 5*l = 15. Let y(z) = 3*z + 2. Determine y(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - q + 3. Let i be v(0). Suppose -i*r - d + 17 = -17, 18 = 2*r - 4*d. Let k(l) = -14*l - r*l + 24*l. Let g(s) = -3*s**2. Give k(g(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 14 + 0 = 0. What is the remainder when z is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**3\/3 - 7. Determine c so that s(c) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -216 + 2068588.\nAnswer: 2068372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**5\/3 - 154*y**4 - 39412*y**3\/3 - 1464124*y**2\/3 - 6504142*y + 21016426\/3 = 0.\nAnswer: -71, -67, -47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.058 - 10.058. What is the third smallest value in -2, b, -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x - 14*x - 24*x**3 + 38*x.\nAnswer: -24*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 25*x - 2. Let o be m(1). Let u = o + 0. Suppose i = -3*v - 0*v + u, 2*i - 5*v - 57 = 0. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-276)\/(-322))\/((-6)\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 14*r - 12. Let d be -1*((-4)\/(-4) + 8). What is the remainder when q(d) is divided by (-2 - 6\/(-4))*-36?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**(-2\/9)\/o*o)*o)**(-13) assuming o is positive.\nAnswer: o**(-260\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*b**4*m**3 - 2*b**4*m + b**2*m + 891*b*m**2 + 3*m**3 wrt b?\nAnswer: 1944*b*m**3 - 48*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3304*s + 3239. Let b(m) = -7*m. Let x(q) = 6*b(q) + j(q). Differentiate x(p) with respect to p.\nAnswer: -3346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*t - 27*t - 40*t)*(7 - 7 + 3*t) as z + d*t + y*t**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y + 3. Let v(i) be the first derivative of -i**4\/4 + 11*i**3\/3 - 7*i**2\/2 - 32*i + 14. Let m be v(10). Calculate p(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63\/220 - 2\/55. Let z = 65\/2 - 33. Let j = 1092 + -1092.4. What is the closest to d in j, -2\/9, z?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4599*k + 5089*k - 10290 = 0 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44229)\/(-483) + -92)*7\/(-90)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**3 - 6965*h**2 + 27920*h - 27940 = 0.\nAnswer: -1397, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.197 rounded to one dp?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -403937 - -2?\nAnswer: -403935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**4\/4 - 11*z**3\/3 + 7*z**2 - 15*z - 111. What is the remainder when 82 is divided by q(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 3*g**2 + 0*g**2)*(-g + 2*g - 3*g) + (0*g - g + 3*g)*(6 + 12*g**2 - 6).\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 113\/467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18425?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 438ca (base 14) to base 11\nAnswer: 101a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-5 + 15 - (10 - 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -8453*y. Let r(d) = 855*d + 2. Calculate f(r(z)).\nAnswer: -7227315*z - 16906","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -721.4 - -721. Sort 1\/57, 4, r in ascending order.\nAnswer: r, 1\/57, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 9:19 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(96\/(-18))*38*308\/(-154)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*o + 9 = 4*x + 1, 4*x - o + 92 = o for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t**2 + 2*t + 2. Let r(p) be the first derivative of -8*p**3\/3 - p**2 - 2*p - 4. What is 7*m(j) + 6*r(j)?\nAnswer: j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.604 + 14623963.\nAnswer: 14623962.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 99 (b) 7 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 + 27 + 88709*o - 135*o**3 + o**2 - 88710*o - 4*o**2 to g*o**2 + h*o**3 + w*o + j and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03 and -24089598373.\nAnswer: -24089598372.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*y - 30 = 0. Factor 21*v - 71*v**2 + 9*v**3 + y*v + 0*v + 3*v**4 - 18 + 26*v**2.\nAnswer: 3*(v - 1)**3*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460237.2ml to litres.\nAnswer: 460.2372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5011321 - -66?\nAnswer: 5011420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 k, and 1 w when four letters picked without replacement from {n: 1, x: 1, k: 1, b: 1, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.21 in -4, -1\/5, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434077 is divided by 390.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + 44 - (-405234)\/50619?\nAnswer: 2\/359","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/60)\/(1\/330). Let u = w - -229. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 256014 and 2619?\nAnswer: 24833358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 326\/31 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -219b (base 16) in base 11?\nAnswer: -6511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -18. Suppose 0 = -0*c - 4*c - b*t + 58, -c = -2*t - 12. Calculate the greatest common factor of 70 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15678799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 252709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -7022 and -7717 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-14)*24\/(-36)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 80939, 5, -2 in descending order.\nAnswer: 80939, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 535592*f - 35857348808.\nAnswer: -2*(f + 133898)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3684 is divided by 882.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 1:51 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 48 = -k. Calculate the highest common divisor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -10.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*z**3 - 103*z**3 - 418*z**3.\nAnswer: -725*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1440, -1474, -1560, -1722, -1984, -2370, -2904, -3610?\nAnswer: -4512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 7) to base 12\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 375, 2513, 8313, 19605, 38219, 65985, 104733, 156293?\n\"Answer: 305*z**3 + z**2 + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 204 - -1450010?\nAnswer: 1450214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 + 32 + 46)*(3*k + 0 + 0)*(-1 - 4*k**4 + 1).\nAnswer: -1464*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -1297*u - 36200. Calculate b(-31).\nAnswer: 4007","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 6*c**2 + 84869*c**3 - 84889*c**3 + 4*c**2 in the form h*c + s*c**3 + t + l*c**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1924, -1898, -1842, -1756, -1640, -1494, -1318?\n\"Answer: 15*k**2 - 19*k - 1920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 4 - 79695*p + 0 - 4.\nAnswer: 2*p**2 - 79695*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 90 + 22. Suppose -5*d - 15 = -10*d. Suppose d*g + 5*h + 7 = 0, 3 = 3*g - h - 20. What is the least common multiple of f and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -27. Let o = -0.04 - -4.04. Sort t, o, -0.3 in decreasing order.\nAnswer: o, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.95 + -1.94998934. What is f rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.184002 kilometers?\nAnswer: 18400.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11220002 + -10021?\nAnswer: 11202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1108 - -2137. Suppose 0 = 11*j - 4*j - r. Is j a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m - 40. Calculate w(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 8*f**2 - 8*f - 1. Let d be z(5). Suppose t = 36 + d. Let o be (-40)\/t*7\/3. Which is the smallest value? (a) 0.5 (b) o (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 49 - 4*n**3 - 16*n**3 - 96.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -19. Suppose -u*j + 3*t = -10820, -3*t + t = -j + 2164. Is (-1)\/(-2*2\/j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011111 - 101000110001?\nAnswer: -11101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 i when three letters picked without replacement from aaaaaiia?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 7:51 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 5*z**2 + 3. Let v be b(5). Suppose -2*i = x + 2*i + 12, -9 = x + v*i. Is x at least -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -6\/437 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**3*v + 6*u**3*z**3 + 2*u**2*v + u*v*z**2 + 2*u*v + 3*v*z**3 - v wrt u?\nAnswer: -6*u*v + 36*u*z**3 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -8*v**2 + 84*v - 40 = 0.\nAnswer: 1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 15*g - 22. What is the remainder when 203 is divided by h(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 272 = -32. Suppose h + 4*h - z = 0. Let m(o) be the second derivative of -o**5\/20 + 7*o**4\/12 - o**3 + 3*o**2\/2 + 40*o. Give m(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1808\/57773 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*x**2 - 7647*x - 73237.\nAnswer: -60*x - 7647","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-966)\/(-16445) - (-8)\/440?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*u - 333*u = 108 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3153 is divided by 53.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 203, 17, -5, 16, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + (3 - 55\/20 - (-2)\/(-8)). Suppose 4*m - 3*j = -7*j - 4, -j = 4*m - 5. Let f(h) = 2 + 6*h**2 - 2*h - 11*h**2 + 6*h**m. Give f(g).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4630*b**2 - 65*b. Let z(k) = 421*k**2 + 6*k. Calculate -6*r(m) - 65*z(m).\nAnswer: 415*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.099998 + -2.\nAnswer: 1.099998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -25 - (4 + (-9 - 4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 at most as big as 206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1134329*v**3 - 139*v**2 + 76 wrt v.\nAnswer: 6805974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77092 is divided by 40.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.520392252246 and 17.\nAnswer: 16.479607747754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45*(272\/(-51))\/16. Suppose -w = w + 28. Is t < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/251 (b) -2.20776 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - z**2 - 2 + (8*z**2 + 3*z**2 - z**2)*(1 - 4 + 4).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -53, -214, -483, -860, -1345?\n\"Answer: -54*d**2 + d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-3)\/(9\/240). Let q = -367 - -198. Let s = v - q. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 7, 0, -119, 876?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.43248751 rounded to one dp?\nAnswer: 25.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*1*(sqrt(264)\/(sqrt(6)*-2) + sqrt(44)).\nAnswer: -5*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + 0.28. Let q = 125 - 121. Which is the closest to 1? (a) 3\/4 (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1076)\/(-30) + ((-546)\/(-45) - 12). Solve 53*m = k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.6464 - 59.8429. Let a = w - -10.196. Let z = a - -35. Round z to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57500127.\nAnswer: 3, 29, 220307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/(-6)*(-984)\/3198?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and (2 - 12\/(-21))\/(753\/108934).\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 11*m**2 + 7*m - 13. Let d be u(11). Suppose 6*a - 20 = d. Calculate the smallest common multiple of (-1*2 - -2) + 22 and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 11*k - 15 + 0*k**3 - 135*k**2 + 127*k**2 + k**3. What is the remainder when 128 is divided by y(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 22 - (-121 + 60 + 72).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3160?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/13))**(-33) assuming o is positive.\nAnswer: o**(-99\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -8.6?\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*(-14)\/(-21).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, -19, -46, -91, -160, -259, -394?\n\"Answer: -v**3 - 8*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.055584039 times -5\nAnswer: 0.277920195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l - 2. Let a be m(5). Let s be 1352\/a - 4\/14. Let f be 1\/(1 + (-10)\/12). What is the highest common factor of f and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26360274 to the nearest integer?\nAnswer: 5134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 180452370 + -180452451.9999967. Let j = n + 82. Round j to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j + 51. Let z be q(-23). Let y(k) = k**2 - 13*k - 26. Let b be y(15). Suppose b*g - g = -3*d + 228, -d = -z. Is 39 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 3*y + 0*y)*(-5 + 6*y**2 + 5).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 404 - 200. Let t = 205 - u. Let i be (-20)\/(-126) - 4\/(-14). What is the nearest to t in -2, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1630008 divided by -1\nAnswer: -1630008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -299*c + 235*c - 380 + 34 - 742 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 4. Let p = -2 - r. Which is the closest to 2\/3? (a) p (b) 2\/13 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/3)\/c)**(-8\/9))**(-41)\/(c**2\/c**(-1\/5))**43 assuming c is positive.\nAnswer: c**(-16051\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u + 6. Let b = 16 - 11. Suppose -b*o = -2*o - 5*y + 2, -2*o + 5*y = 3. Let n be q(o). Solve -5*m - 5 - n = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, -0.3, -0.15, -1\/9?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/24)\/u**(2\/3))\/(((u\/(u**(2\/11)*u))\/u)\/(u**7*u)) assuming u is positive.\nAnswer: u**(753\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-nine sixths of a hour?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2.53?\nAnswer: -4.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12103 + 1?\nAnswer: -12102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3) + 238\/(-21). Suppose 3*c + 23 = -5*n, 6 = 2*c + 16*n - 18*n. Put b, -4, c, 9 in decreasing order.\nAnswer: 9, c, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22457 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/61? (a) 10 (b) -3\/2 (c) 2\/5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsz when three letters picked without replacement from iasgwzz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 92.25 (c) -0.1 (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (357\/7)\/(1411\/332)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 9*w**2 + 19*w + 15. Let u be l(-5). Solve 0 = 2*p + 278 - u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -1. Let x = 2 - -5. Let b = x + t. Solve -5*i = -2*c - b*i + 3, 0 = -5*c - i + 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7670781127 + 2420\nAnswer: -7670778707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1753a94 - -2?\nAnswer: -1753a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or -11892?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 5*r - 1. Let s be p(-4). What is the common denominator of 6\/(-14)*s - -1 and 1\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -2451?\nAnswer: 2447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-10)*2)\/((-10)\/(-50))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 + 4*x - 4*x + (2 - x**3 - 2)*(-6*x - 2*x + x) + 4*x**4 - 6*x**4 + 0*x**4.\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -46*i**6\/3 - 3*i**3\/2 + 2*i**2 + 9*i + 11. Find the second derivative of a(s) wrt s.\nAnswer: -5520*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13739963 is divided by 15667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 1:45 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -12. Let a be w\/(-1*(0 - 1)). Solve -2*x + 6*x + 4 = a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, -21\/20, -4\/3, -5\/13, -1 in increasing order.\nAnswer: -4\/3, -21\/20, -1, -5\/13, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000607 rounded to six dps?\nAnswer: 0.000607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*h**4 + 10*h**2 - 5521*h wrt h.\nAnswer: 492*h**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 65, -0.1, -1\/28?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -15 (c) 9 (d) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -11*o - 9*o. Let r be (-2 - 10)\/2*o\/63. Solve 8\/15*k**4 + 2\/15*k**2 - r*k**3 + 0*k + 0 = 0 for k.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkb when three letters picked without replacement from {n: 7, r: 3, a: 2, k: 3, b: 4}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -0.3. Let v be (14\/15)\/(6\/5). Let k = v - 44\/45. Which is the smallest value? (a) x (b) k (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -k + 4, -7 = -127*k + 131*k - 23 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*n - n, -5*n + 45 = 4*h. Let g = 6496\/17 + -382. Let p be (4\/(-90))\/((-58)\/348)*(-6)\/4. What is the fourth biggest value in h, g, 9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oojjjooovyjvoooy. Give prob of picking 2 y and 1 j.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-6 + (1 - -3) - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 6. Let l be o(0). Suppose l - 3 = 3*v. Let b = v - -3. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21 * -1.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/15*90\/(-12)*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 101*v**2 - v + 59?\nAnswer: 202*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 53 - (148 + -114 - 28)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, -4\/11, 0.2, -16?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 less than 3636\/145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, 260, 3, -4 in ascending order.\nAnswer: -11, -4, 3, 5, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -43941400 to the nearest 100000.\nAnswer: -43900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + 6 + 31 - (1 - -1 - 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 60\/91 and 54\/143.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1224.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17472 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrrrrruuqqqjquc. Give prob of picking 1 u and 2 r.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + (1*sqrt(1078) - sqrt(1078)))\/sqrt(11).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by 176231.\nAnswer: -82\/176231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 5*f**2 - 16*f - 16. Let z be v(-7). Calculate the least common multiple of 12 + -15 - z\/((-2)\/(-21)) and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175439 divided by 2\nAnswer: 175439\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 443243 (base 6) in base 8?\nAnswer: 110253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -247*d + 626*d + 7201 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 4320.\nAnswer: -1\/540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 47. Solve 2*k + 50 = 7*k - c*b, 20 = -4*b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5 + 16*h**4 - 30*h**3 - 16*h**2 + 32*h = 0 for h.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -47226615 (base 8) in base 11?\nAnswer: -58a6176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 5. Let m(y) = 2*y**2 - 5*y + 2. Let q(d) = 0 - 3*d + 2*d - 4. Let g be q(-7). Let z be m(g). Determine i(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 0)*(-6 + 4 + 3) - 6 + 0 + 4 + 2 + 5 + 2)*(-2 - 3 + 7)*(-5*k + 6*k + k).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efepffpeiffelfiifl. Give prob of sequence fepl.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1386539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4583 + 7374220.\nAnswer: 7374220.4583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 552087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, i: 2, c: 2, l: 2, d: 1, m: 3}. What is prob of picking 1 l and 1 c?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447899.\nAnswer: 17, 26347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/2318 and 87\/217436.\nAnswer: 13263596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 3)*(1 - 1945*v + 705*v - 1380*v + 206*v) to i + y*v and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2390 divided by 7194?\nAnswer: 1195\/3597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5830*v - 2 + 2543*v + 1500*v. Let d be p(-1). Let k = d - -2975. What is k rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + 1000100101010?\nAnswer: 1000100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) 2\/5 (b) 2 (c) 2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177 - 173. Suppose 3*o - 12 = d - 4, -k*o - 2 = 5*d. Solve -v - 2*v - 4 = -4*g, 12 = o*g + v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, k: 10, c: 2, x: 7}. What is prob of sequence xmx?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/(sqrt(24)\/sqrt(2)))\/(-1*sqrt(72) + sqrt(2)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 r, and 1 v when three letters picked without replacement from {v: 3, r: 1, k: 5, c: 3}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/4)\/((-4)\/16). Suppose -9 = b*k - 34. Let f = k - -1. Calculate the smallest common multiple of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m**(-10)*m)\/m*m)\/m**(-11))**(-13\/5) assuming m is positive.\nAnswer: m**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-12 - -22) + -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s - 3. Let n = -31 - -29. Let b be c(n). Solve f = -3*y + 2*y - 2, -f - b = 2*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/(22\/(-36))*2\/3. Let o(f) = f**2 - 11*f + 6. Let q be o(p). Solve -q*b + 25*b = -21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1739 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 140749*m**5 + 325*m**2 + 159*m?\nAnswer: 8444940*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 912?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -0.5 (b) 2\/11 (c) -7.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28904243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*d - 4. Suppose 3*s - 57 = -3*f, 3*f - 4*s - 10 = 19. Suppose 4*q = q - v + 5, 5*q + 3*v - f = 0. Solve 5*g - d*g + 6 = q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 157*i - 47. Calculate y(2).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*o = 9, -5*o + 9 = -6. Suppose b = -2*v - v + 207, q = -4*v - 4. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 80*m**2 + 0*m**3 - 2\/3*m**5 + 0*m**4 + 0*m + 0. Let t(x) = 2*x. Calculate s(t(o)).\nAnswer: -160*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 20*j = 540. Let f be (2 + -1)\/((-5)\/j). Suppose -20*i + f*i = 588. List the prime factors of i.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3035 + 23?\nAnswer: -3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m**4 + 0*m**4 + 0*m**4)*(2 - 1 + 1) + 4*m**2 + 3*m**4 - m**4 + 5*m**2 to the form d*m + u + f*m**2 + t*m**3 + y*m**4 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 1240 = 23*u. Solve -u*f + 4 = -38*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 271, 1072, 2405, 4270, 6667?\n\"Answer: 266*u**2 + 3*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c = -w + 48, 20 = -4*c. Suppose -7*g + 20 = -3*g. Suppose 0*i - 20 = -g*i. Calculate the highest common divisor of w and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*6\/4)\/((-18)\/(-36)). Suppose -2*x - 110 = -4*x + z*h, 4*x - 230 = h. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 61\/8*a**3 - 899\/8*a**2 + 0 - 961\/8*a - 1\/8*a**4.\nAnswer: -a*(a - 31)**2*(a + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 7. Let z be a(9). Suppose -37 = -z*j - 33. Suppose -m - 18 = 4*o, -j*o - o - 23 = -4*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -3\/2, -0.4, -7, -1.46, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f - 25 = 0, 0 = -3*o - f + 10. Suppose 0 = -o*n + 2*z + 230, 4*n = -0*n + 5*z + 201. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) 1\/3 (c) 39 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.85 - -0.15. Let q = g + -25.1. Is -6 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -4. Suppose -3*j + 19 = 2*r, -3*j = j + 2*r - 24. Solve -4*d = j*k + 27, 1 = 2*d - k + g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*i**3 + 244*i**2*v - 67*i*v + 35*i wrt i.\nAnswer: 138*i + 488*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*h - 71525 = 0, 29*h - 30*h - 71505 = -5*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 19, 14, 5, -8, -25?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -757, -1382, -2413, -3850, -5693?\nAnswer: -7942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.3747?\nAnswer: -1.4988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1686 and 1405?\nAnswer: 8430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*f - 0*f + 42, 3*x + 29 = f. Let d(r) = r**3 + 6*r**2 - 11*r - 10. Let v be d(x). Let b = 86 + v. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -96 - -3323a?\nAnswer: 33164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-8))\/((-3)\/456). Suppose -5*q + 8*y = 5*y + v, 4*q = -3*y - 77. Round q to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4275 - 10*x**2 + 3*x + x**3 + 4273 - x - 2*x**4 in the form u*x**4 + p*x**2 + h*x**3 + i + q*x and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(5 - (-3)\/((-102)\/176))?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 1265 = -2*z. Let i(m) = -2*m**2 + 26*m - 22. Let y be i(11). Let n be 2\/4 + z\/y. What is the greatest common divisor of n and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*b - h, 4*h + 12 = -0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l = -4*a + 12, 3*a = -2*l + 9. Suppose -8*b + 0 + 0 = l. What is the common denominator of 275\/(-99) - b\/(-2 - -1) and -119\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 6*p - 3*p, 0 = -4*k - 3*p + 12. What is the lowest common multiple of ((-4)\/6)\/(6\/(-27)) and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24235110 (base 8) to base 5\nAnswer: 2330321321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/9 of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 11.04268.\nAnswer: -22.08536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/5)\/s)\/(s\/(s*s**(2\/3))))**(-3\/7)\/((s\/(s**(-1)*s))**(-3\/14)*(s\/s**(-1)*s*s)**(2\/29)) assuming s is positive.\nAnswer: s**(-51\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((28604\/(-6))\/(-1))\/((-132)\/(-198)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -152, -151, -150, -149?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1919 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 12\/(-9)*-3. Let k be (102\/(-24))\/((-3)\/36). Suppose 0*r - 4*r = -a*j - k, r = -j + 6. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*z + 2900370 = -20*z. List the prime factors of z.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 437 and 2369?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 431\/2 smaller than 216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -395904*a + a**2 + 395904*a - 64 to v*a + c*a**2 + k and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*l = -2*x - 85*l - 82*l - 29, 5*x + 4*l = -89 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000248 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7017.9395 - -7013. Let m = 4.639492 + n. Let f = m + 0.3. Round f to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 1:27 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2947 is divided by 728?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 - 65*g**2 + 1007*g + 7. Is j(27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 0*d**2 + 84*d**3.\nAnswer: 84*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -73 - 72 - r + 145. Let k(x) = -29*x. What is k(m(j))?\nAnswer: 29*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide (-2024)\/(-6) + -2 + (-2)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, -15, -33, -55, -81, -111, -145?\n\"Answer: -2*a**2 - 8*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -3269 (c) -1 (d) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 20 + 75 = 2*k, -5*g + 281 = 4*k. List the prime factors of g.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 192622896 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3615 - 135132?\nAnswer: -140747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.22 - 0.08. Let y = 0 + -0.14. Let h = y + c. Put h, 1, -0.3 in increasing order.\nAnswer: -0.3, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11308849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -16. Suppose 154 = 8*b + 42. Calculate the smallest common multiple of b and o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1595)\/638)\/(7\/70)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*s**4 - 206*s**3 - s**2 - 1 + 302*s**3 - 98*s**3 - s to m*s**2 + j + o*s**3 + k*s + w*s**4 and give w.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + d - 4. Suppose l - 7 = -3. Suppose l*w + 57 + 703 = d*m, -4*m + 767 = 3*w. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -3*d**2\/2 + d - 1. Let u be w(-1). Suppose f - u*f = -60. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 0.5 (c) -17\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Let d = 37 + -34. Suppose d*p + 13 = -2*i, -5*i + 4*i + 16 = -3*p. Put -5, i, j in decreasing order.\nAnswer: j, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**2 + 4*q - 4*q. Let r(v) = 6 - 6 - 99*v + 101*v. Give r(l(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -10.03. Let w = 5.03 + x. Put w, 2\/9, -2\/5 in descending order.\nAnswer: w, 2\/9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46113, -5, 0 in descending order.\nAnswer: 0, -5, -46113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-7))**(-21\/4))**(-2\/61) assuming a is positive.\nAnswer: a**(-147\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10*g - 10 - 10*g + 3*g. List the prime factors of d(26).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 3*v - 3830, -143 = -2*x + 2*v + 1405. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -135*w**7\/14 - 177*w**6\/2 + 62*w**5 - 35*w**4\/3 + 107*w. Determine c so that v(c) = 0.\nAnswer: -7, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160805 and 24940?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2391*t**3 - 887*t**3 - 1142*t**3)*(2*t - 3*t - 3*t) to the form l*t**3 + u + i*t**4 + f*t + r*t**2 and give i.\nAnswer: -1448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1015146.\nAnswer: 203029.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 52953*r + 105918.\nAnswer: -3*(r - 17653)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*m*o**4 - m*o**2 - 2*m*z - o**2*z + z - 6 with respect to o.\nAnswer: -36*m*o**3 - 2*m*o - 2*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-6 + (-65)\/(-10)). Suppose 0 = a + 4*r - i - 15, a = -2*r + 22. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21739?\nAnswer: 21739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4*g - 3*g + 17 = 6, 3*g + 57 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-40)*v*v*v**(4\/9)*((v**18\/v)\/v)\/v**(-33) assuming v is positive.\nAnswer: v**(103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-22\/9))**(-15\/8) assuming x is positive.\nAnswer: x**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -413 <= -359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 131493 - 65746 - 65747 - 3241*p**3 + (4 - 6 + p + p)*(-5*p**2 + p**2 + 2*p**2).\nAnswer: -3245*p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 14689.41.\nAnswer: 14685.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbmmmmmbmbbb. What is prob of sequence mbbm?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 13.1 and -47304356280.\nAnswer: -47304356266.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -2. Is (14\/m - -2)*-6 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 - 657591*z\/2 + 432425923281\/4.\nAnswer: (z - 657591)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/56 and -47\/238?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((396\/8)\/9)\/((-41)\/(-82))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.2 - -2.7. Let g = l - -14. Let t be (-4)\/14 + (-96)\/(-189). Which is the nearest to -2\/5? (a) -6\/7 (b) g (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 0*a**2 - 6*a + 0 - 1\/3*a**3 - 1\/6*a**4. Factor j(s).\nAnswer: -2*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 40.02. Let v = 0.045 + 0.055. Let u = -0.02 + -0.08. Which is the closest to v? (a) u (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k**2 + 21*k + 6. Give q(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 41 = m - 4*o, -o - 19 + 0 = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 44, 181, 412, 737?\n\"Answer: 47*q**2 - 4*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/22)\/((-1)\/11) + 0. Suppose -d*p + 849 = -4*j + 5*j, p = 3. What are the prime factors of j?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**7\/j)\/j)\/j*j*(j\/(j*(j*j\/j**(-2\/5))\/j))\/j*j*j)**32\/(((j\/((j*j**(-6))\/j))\/(j\/(j\/j**1)))\/(j*j**(1\/2))**(-38)) assuming j is positive.\nAnswer: j**(421\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*b, -s - 5*b - 13 = 4. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 193 and 0.201.\nAnswer: 38.793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 40*b + 39. Determine p(-39).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1537*w**4 - 209*w**4 - 419*w**4 + (3*w - w - 4*w)*(-2*w + 2*w + 2*w**3) + (2*w**2 + w - w)*(2*w**2 - 2*w**2 - 2*w**2).\nAnswer: -2173*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5 * -0.5.\nAnswer: 1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 0*v + 0 + 0*v**3 - 1\/10*v**5 - 5*v**2 + 1\/24*v**4. What is the second derivative of b(p) wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q**3 - 7*q**2 - 7*q. Let n(c) = -3*c**3 - 8*c**2 - 8*c. Let s(b) = -4*m(b) + 5*n(b). Let l be s(13). Solve 0 = -5*t + 12 + l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -267 - -270. Suppose g - 2*f + 0*f - m = 0, g + 4*f - 3 = 0. Solve 4*p = 5*r - 33, 1 = -g*r - 2*p + 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166399*-2638\nAnswer: -438960562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47828453 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-160)\/6*81\/144*-4. Let l be 104\/z - (-28)\/(-21). Factor 12\/5*t - 2\/5*t**3 + 0 - l*t**2.\nAnswer: -2*t*(t - 2)*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 54 = -2*b + 6*n, -2*b - n - 74 = 0. Let j = 39 + b. What is the third derivative of -8*m**6 - m**2 - 3*m**6 + 0*m**6 - j*m**6 wrt m?\nAnswer: -1800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3464 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1800) + sqrt(50) + sqrt(50).\nAnswer: -5 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4062 - -4063. Which is smaller: 2\/3157 or f?\nAnswer: 2\/3157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/3 - (-1 - -1). What is the second derivative of -m*w**4 - 22*w + 2*w**4 + 27*w + 3*w**4 wrt w?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by (13 + 0)\/(0 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p - 176. Let w(u) = u + 34. Let i(r) = 2*o(r) + 11*w(r). Let j(g) = 2*g - 1. Let q be j(-3). Let h be i(q). Let l(v) = -8*v + 1. Determine l(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/81 equal to -23766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((r\/r**13)\/r*r)\/r)\/r*r*r**(1\/20))**(4\/33))**(1\/33))**(-5\/4) assuming r is positive.\nAnswer: r**(259\/4356)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 4*i - 0*i - 639, -m + 122 = 5*i. Let u = 129 - m. Solve 3*g - u*g = 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 27 = -12. Suppose -3*j - 1 + 7 = 0. Suppose l = -j*l + 6. Calculate the remainder when x is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -39*w**5\/5 + 5*w**3\/3 + 391*w**2\/2 - 741. Find the second derivative of u(c) wrt c.\nAnswer: -468*c**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 9*y**2 - y. Suppose 4*x - 30 = -18. Suppose -h = 2*h - x. What is t(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 0*t**2 - 6\/25*t**5 + 0*t - 4\/15*t**6 + 5 + 1\/10*t**4 + 0*t**3. Factor b(x).\nAnswer: -2*x**3*(x + 1)*(4*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1924 + 2*c + 31545*c**2 - 15779*c**2 - 1924 - 15780*c**2.\nAnswer: -14*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752 is divided by 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68.059 + 68. What is y rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 0 + 21. Let h = o - -27. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 4*v. Suppose -f + 43 = -v*q + 3*q, q - 3*f - 21 = 0. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(208) - (sqrt(208) + 1)*6)**2.\nAnswer: 576*sqrt(13) + 29988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**4\/3 - 13*v**2. Let d(a) = -a**2. What is d(f(i))?\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -112, -161, -180, -157, -80, 63?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90686261 a multiple of 791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54.04 + 6.56. Let w = 48 + o. Is w < -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 7*j - 9. Let u(f) = -f**2 + 11*f - 8. Let w be u(10). Let c be (-3 + w)\/(2\/(-10)). Let x be v(c). Is x at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c56b96 + 4?\nAnswer: 1c56b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 151 = -5*v, -x + 2*v + 12 = -16. Calculate the remainder when x is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - m = -2*m - 19, -5*m + 31 = 4*o. Let k(v) = 6*v + 170. Calculate the smallest common multiple of o and k(-28).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 15*c = 3*y - 9, -c = 4*y + 428 - 375 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - r - 34. Suppose -6 = -4*p + r. What is the least common multiple of p and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6*k + 14 = u, 0 = 5*k + 5. Let o be ((-120)\/u)\/(4\/(-30)). Let l be 54\/8 + 25\/o. Solve -11 = 5*a + 4*v, a - 2*v + l = 2*v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122259966.968 - 2.\nAnswer: -122259968.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*f + 12883 = -8469. Let g = f - 316. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11247, -45074, -101481, -180468, -282035?\n\"Answer: -11290*u**2 + 43*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*f - 3152, -4*n = -2*f - f - 12635. Let w = -656 + n. Let a = -70131\/28 + w. Find the common denominator of 77\/16 and a.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1259 + -39023\/31. Let u = l + 44\/93. Which is smaller: -1\/4 or u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 6. Let a be j(8). Let i = -2 - a. Suppose -5*u - 3*m = -43, i*u - m = u - 9. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -3.2. Let g(w) be the third derivative of -w**4\/24 + w**3\/2 - 16*w**2 - 2*w. Let q be g(4). What is the third biggest value in z, q, 1, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7385 is divided by 670.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*m - 2*z - 7, -8 = -5*m - z. Let g = 34\/13 - 264\/91. Suppose 3*b + 8 = -1. Put b, m, g in descending order.\nAnswer: m, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4255.4 - 4255. Which is smaller: h or -208?\nAnswer: -208","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5272, 10543, 15814, 21085, 26356, 31627?\nAnswer: 36898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 639724 divided by 159931?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + v - 4. Let w(u) = 906 + 900 - 1811 + u**2 + 2*u. Determine 5*a(p) - 4*w(p).\nAnswer: p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40 - -31)*(-434)\/6. Suppose 0 = 2*w - 3*h - 414, 6*w - 3*w - v = -3*h. What is the remainder when w is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j + 70*j - 1199 + 5114 = -52*j for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 6:35 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7068*a**2 - 2688*a**2 + 7998*a**2 + 1173*a**2.\nAnswer: 13551*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 216012992 or 1080064954\/5?\nAnswer: 1080064954\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 7.8. Suppose -20 = 2*c + 3*c. Put 0, q, c in decreasing order.\nAnswer: 0, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a factor of 66566430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 2*n - 2*y + 8, -4*n - 26 = -5*y. Let t be ((-1)\/n)\/(17\/49589). Let g = t + -143005\/196. Calculate the common denominator of g and 117\/10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -477105 by 5.\nAnswer: -95421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -36*a**2. Let j(n) = 664 - 664 - 4*n. What is j(q(c))?\nAnswer: 144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-45)\/(-20) - 1\/4. Suppose 4 = 3*y - i. Suppose 0 = -y*k - 7 + 31. Solve 2*j + k = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.24, 1, -1653, -6\/11, -6\/5?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**2*m**4 + 12*l**2*s**3 + 3*l*m - 3*m*s**3 - 3*s**3 + s**2 with respect to m.\nAnswer: 4*l**2*m**3 + 3*l - 3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, c: 4, p: 2, f: 1, q: 3, y: 6}. Give prob of sequence pi.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*-6*14\/(-126)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 17 - (-411 - -405)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6296, -186, -1 in decreasing order.\nAnswer: -1, -186, -6296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3113 (base 4) in base 14?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15 = -0. Let y be j - 2 - (-1 - 0). Let g be (4\/5)\/(1\/(-5)). Sort y, 4, g in decreasing order.\nAnswer: 4, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -35. Calculate the remainder when 70 is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/(-12)*(8\/10)\/1. Suppose 0 + 32 = t*w. What is the units digit of 1 - -17 - w\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -38. Let w(j) = -4. Let r(q) = q - 1. Give s*w(n) - 3*r(n).\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_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: Let z = 89\/6 - 31\/2. Let m = 0.1 - 0. What is the nearest to 1\/4 in z, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(468) + 0 + sqrt(468))*-1*4.\nAnswer: -24 + 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/5)*u)\/((u*(u\/((u*(u*u**15)\/u*u)\/u))\/u)\/u))**33 assuming u is positive.\nAnswer: u**(3003\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*r = -0*r - 28, 2*r = 2. Is 21 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -7, -1\/2, 109851?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence titt when four letters picked without replacement from rdrittitnfr?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**(-2)\/l*l)\/l*l)**3*l*((l\/(l\/(l\/(l*l**3))))\/l)\/l*l**11 assuming l is positive.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + o**5 + 0 + (-2*o**2 + 0*o**2 + 0*o**2)*(2 + o**3 - 2) + 3475*o**5 + 1 - 2914*o**5 - 1.\nAnswer: 560*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sggs when four letters picked without replacement from {s: 11, g: 9}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 11*k**2 + 11*k + 2. Let o be g(10). What is the greatest common factor of o and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1129 - -12427\/11. Which is greater: p or -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 9*d**2 + 9*d + 13. Let o be q(-10). Let a = o - -184. Find s such that -5\/2*s**4 - 12*s**2 - a*s - 9*s**3 - 3\/2 = 0.\nAnswer: -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/30 and 115\/768132.\nAnswer: 3840660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5411.2763 and 5860?\nAnswer: 11271.2763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 2) + -203 + 191.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i**2 + i + 2. Let t be a(-2). Let k(o) = 3*o**3 + o**2 - o + 6. Let y be k(4). Let c = y + -186. Is t >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27874 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 262*g**3 - 2084*g wrt g.\nAnswer: 1572*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 7:41 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**4 - 10742*u**3 + 139920*u**2 - 344536*u + 215360 = 0.\nAnswer: -5384, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s**5 + 34*s**4\/5 + 16*s**3 + 24*s**2\/5 = 0.\nAnswer: -3\/4, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3\/6 - 193*f**2\/3 + 19855*f\/6 - 107384\/3 = 0. Calculate f.\nAnswer: -433, 16, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 330 divided by 6\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, k: 4}. What is prob of picking 3 k and 1 f?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 5*t**2 + t + 8. Let d be (0 - -62) + 1\/(-1). Let s(f) = 1029*f + 3150. Let r be s(-3). Suppose r*p + 10 = d*p. Calculate x(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.9 + 25.9. Let o = 21.9942 - y. Round o to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915237 to the power of 1\/2, to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -115\/3. What is the nearest to 0 in h, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -101, -248, -493, -836, -1277, -1816?\n\"Answer: -49*v**2 - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*(-8)\/(-420))\/((-2)\/3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*g + 351*g = -530*g - 229*g - 126540 for g.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 513 - 237. Let z = 17 + s. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 886 = -444. Is 17 a factor of (2 - (-20)\/(-8))\/((-1)\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = -d, -g + 3*d = -5*g + 8. Suppose -o = g - 4. Solve o*q = -q + 2*v + 5, 3*q = 3*v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p. Let z(l) = 55233*l. Give z(x(w)).\nAnswer: 55233*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -484*s + 192. What is the tens digit of k(-19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.078425672 - -124.078496672. Let r = q - 124. Round r to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 22*z - 9. Let q(o) = -67*o + 26. Let m(w) = 11*j(w) + 4*q(w). Let g(k) = -9*k + 2. Suppose 0 = 6*v - 40 - 26. Give v*g(c) - 4*m(c).\nAnswer: 5*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.1 (c) 3 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 447*h - 723. Factor 2*u**h + 6\/5 - 14\/5*u - 2\/5*u**3.\nAnswer: -2*(u - 3)*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from uhiiuiuhuj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -47 - (-46 + -33) - -2\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 121*(-6)\/(-99) + 24\/(-27)*-3. Suppose 4*s - 1 + 33 = 0. Let l = -4 - s. Solve -2 = -4*n - 2*m, l*n - m + b = m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 3*s = 5*k - 12, -2*s = 4*k + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9627 + 10161. Solve 10*a = -484 + p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.0529 (b) 19 (c) 0.5 (d) 2 (e) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/3))**(-4))**18\/((p\/(p\/p**(2\/5)))**(4\/19)\/(p**(-1\/3)*p\/p**(3\/8))) assuming p is positive.\nAnswer: p**(55193\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -110958582 and -110958582 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 727497 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30001115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2189\/6 - 364. Let r = 8.6697 + -8.9697. Which is the closest to 2? (a) r (b) -0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(160)*-1 + sqrt(160) - sqrt(160)))\/(2*sqrt(40)\/sqrt(5) + sqrt(648)*-3).\nAnswer: 4*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a millennium in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319434 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122 + 117. Let s be -1*198\/55*k\/2. Solve 0*m + s = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 0*g + 7\/5*g**5 + 4*g**4 + g**2 + 11\/3*g**3 - 4. Factor h(w).\nAnswer: w*(w + 1)**2*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 28*c**2 - c + 2. Let g(j) = -j**2 - j + 1. Determine -f(m) + 2*g(m).\nAnswer: -30*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4859970 is divided by 611?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 r when three letters picked without replacement from llrllrrlllllllrlll?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l + l)*(l - 4 + 4) + 6*l**2 - l**2 - 2*l**2 + (-5*l + 3*l - l)*(-4 + 3*l + 4).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3620020 minus 143504?\nAnswer: -3763524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 + z**2\/4 + z\/2.\nAnswer: -z*(z - 2)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 219 - 225 = -5*j, -4*l = 16. Let x be 33\/6*(5 - (-6)\/(-2)). What is the greatest common divisor of x and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14588*k**2*y**3 - 18*k**2*y**2 + 73675*k*y**3 + 2*k*y wrt k.\nAnswer: 29176*y**3 - 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrmmcsmrmr. Give prob of picking 1 s, 1 m, and 1 c.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-7 - 8) + 8 - (4 - 12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1 + sqrt(125) + 5 - (5 + sqrt(125) + 2))**2)*3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(11)*1*-1 + sqrt(11)*-2*-3) - (sqrt(77)\/sqrt(567) + -1 + -5))**2.\nAnswer: -364*sqrt(11)\/3 + 94007\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 224 - 1200?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -18*(-2 + 3)*(-1)\/2. Suppose f*r = -5*d + 4*r - 770, 3*d - 2*r + 467 = 0. Let l = 312 + d. What are the prime factors of l?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by -10734?\nAnswer: 9\/3578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12740131 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*a**3 + 6*a**2 - 6*a**2)*(3 - 2 - 3)*(1 + 3*a**2 - 1).\nAnswer: -186*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*u + 5*g, -2*u - 3*g - 4 = 2. Is 13 a factor of ((-38)\/(-4) - u)*140\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2398694 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 6\/115, -4, -0.01, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -1, -7 in increasing order.\nAnswer: -7, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -3 - 8) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36911313?\nAnswer: 3, 97, 42281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/5 - 2*w**3\/5 + 28*w**2\/5 + 48*w\/5.\nAnswer: -2*w*(w - 4)*(w + 2)*(w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 76681493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7859514 to the nearest integer?\nAnswer: 2803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -41*q**3 - 96*q**2 - 401*q - 739. What is h(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.398707t in grams?\nAnswer: 6398707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j**3 + 3*j**2 + 3*j + 4. Let b(z) = 8*z**3 - 4*z**2 - 4*z - 5. Let l = 91 + -95. What is l*b(a) - 5*g(a)?\nAnswer: 3*a**3 + a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -12. Let y = 254 + -233.05. Let i = y - -0.05. Which is greater: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 405674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -262*m**2 + 73*m + 73. Determine v(-1).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/27, 2\/721, 2\/15, 1\/8 in ascending order.\nAnswer: 2\/721, 2\/27, 1\/8, 2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -637.931 and -0.138.\nAnswer: 88.034478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 - 227\/3. Let q be -5 + (-174)\/(-42) + 9\/7. Which is the biggest value? (a) 0.1 (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqnc when four letters picked without replacement from {c: 1, m: 1, q: 1, r: 3, n: 1, z: 2}.\nAnswer: 1\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-368*g - 381*g - 329*g + 115*g)*(0 + 3 - 2)*(-3 - 2 + 4) to the form j + t*g and give t.\nAnswer: 963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24\/23 - -29\/138. What is the closest to -0.1 in c, 0.4, -5\/3, 10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1315 = -6*v - 115. Suppose 9*t - 12*t = 5*c - v, -2*c - 4*t + 80 = 0. What is the remainder when c is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469 = -r + j + 3*j, 5*j = 3*r - 1400. Calculate the highest common factor of 30 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662473?\nAnswer: 7, 17, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**2\/3 + 874022*k + 572935842363 = 0.\nAnswer: -1311033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + v = 30 + 76 - 59, -65 = 5*c + 5*v for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90860 + -47521. What are the prime factors of k?\nAnswer: 19, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37336 = 7471*q - 8189*q for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c4 + 8d?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*p - 2*q, 26 = 4*q + 6. Suppose -s = 4*x - 1, 0 = 4*s - 3*s - 4*x - p. What is the remainder when 1\/((1 - 2)\/(-32)) is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + 0.33.\nAnswer: 44.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjacjmmamajmaj. Give prob of picking 1 a and 2 c.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2823 = -896*p + 899*p. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 12*t - 15148. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 188542772 and 0.2?\nAnswer: 188542771.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1964*h + 9781. What is c(5)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*a = 37*a + 519654 - 519828 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 + 3 + -1 + 0. Let u = 814\/5 - 162. What is the third smallest value in a, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248919719.\nAnswer: 6577, 37847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 393 or 0.1?\nAnswer: 393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -5d4c0?\nAnswer: -5d4c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25080, -50157, -75234?\nAnswer: -100311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2278759 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16793350 divided by -1199525\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1122254, 1121830, 1121406, 1120982, 1120558, 1120134?\nAnswer: 1119710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2844.222um to millimeters.\nAnswer: 2.844222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.242953? (a) -4 (b) -0.2 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 13 - 2*k**2 + 6*k**2.\nAnswer: 4*k**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -229\/24 + 26\/3. Suppose 4 = 12*l - 14*l. Is l <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160331338 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03395443583 rounded to 5 decimal places?\nAnswer: -0.03395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4, 2*s - 10 = -0*y - y. Suppose 2*o + 4*b - y = 0, 0*b + 4*b + 16 = 5*o. Suppose -49 = o*g - 57. Solve 0 = g*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147238, 294469, 441700?\nAnswer: 588931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 7*h - h - 16*h + 5*h to the form f*h + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u + 3*u + 20*u + 3*u.\nAnswer: 31*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 16*j. Let g(o) be the first derivative of 269*o**2\/2 - 2860. Determine r(g(y)).\nAnswer: 4304*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -464633 and -0.145.\nAnswer: -464633.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**3\/2 - 2*d**2 - d. Let f be t(3). Suppose 4*i - 6 = -2*a, -a - f*i - 15 = -3*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1248*0.5.\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 1. Let h(q) = 4*q - 6. Let n(i) = -a(i) + h(i). List the prime factors of n(13).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**3 + 2*d**2 + 3. Let h(l) = -3*l**3 + 4*l**2 + 26*l**3 + 7 - 12*l**3 + 0*l**2. Give 4*h(o) - 9*m(o).\nAnswer: -o**3 - 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.2. Let h be (-10 + 6)*(1 + -2). Let j be (h - (-46)\/(-12))\/(2\/(-8)). Which is the closest to -0.1? (a) j (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 7*m - 17 + 26 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, m: 4, c: 5}. What is prob of sequence umu?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*2*10\/4. Let n be -1*(j\/(-4) + -2). Which is bigger: n or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/10 + (3 - 212). Let y = 211 + i. Solve -2*g - 5 = -y*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 596*m - 560*m + 289*m + 36*m - 112*m.\nAnswer: -943*m - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 2142?\nAnswer: 2144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8289191 + -2?\nAnswer: 828918c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.85\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4361, 17962, 40627, 72356, 113149, 163006, 221927?\n\"Answer: 4532*r**2 + 5*r - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -3. Let s be (0\/((-8)\/h))\/1. Suppose -f + 0*f + 320000 = s. Round f to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 4*k + 3*k + (-2*k - 3*k + 4*k)*(0 - 1 + 3))*(0*k - 2*k + 7*k) - k**2 - k + k to q*k**2 + f*k + c and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -54*t - 4*t**3 + 17*t + 19*t + 25*t + 1 + t**2. Is j(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -1. Suppose 0 = -0*l - 2*l - 3*g + 15, -4*l + 5*g + 41 = 0. Suppose -l = 3*k - 6*k. Solve -k*z = -a*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 > 48\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z + 7. Let s be 10 + -12 - (-7 + 2). Let a be s\/(-7)*(-189)\/9. Give d(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -227*l**8\/336 + l**5\/12 - 21*l**3\/2 - 2386*l**2. What is the third derivative of h(t) wrt t?\nAnswer: -13620*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 20, 1\/2 in decreasing order.\nAnswer: 20, 1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + -222.9129377?\nAnswer: -155.9129377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -3\/2, -38, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 335 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znez when four letters picked without replacement from {f: 1, s: 2, n: 2, z: 2, e: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*n = -0*n - 23, 5*o - 3*n + 63 = 0. Is 5\/o - 10281\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4580725833479052*m**2 + 1172270340*m + 75.\nAnswer: 3*(39075678*m + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 2, 4, -18 in descending order.\nAnswer: 4, 2, -1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15600189.2 rounded to the nearest ten thousand?\nAnswer: 15600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**5\/5 - 5*o**4 - 50*o**3 - 250*o**2 - 625*o + 32. Determine z so that w(z) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p = 10. Calculate the remainder when 19 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*y = 15 - 5, i - 3*y = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4. Let a be 16\/(-152) + 7017\/57. Suppose a*q = 127*q - 12. Put c, -1, q, -5 in decreasing order.\nAnswer: q, c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 5. Let d(s) = -s + 1. Let w(j) = 2*d(j) - x(j). Let a be w(2). Let p(o) = 2*o**3 + 4*o**3 + o - o**2 - a*o**3 + 0*o**2 + 1. Determine p(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 - -167. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 7:27 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 2 - 7*-2. Suppose 0*o - x = -3*i - 2*o, -o = 5. Suppose 0*u = 3*u - 2*s - 13, 2*u = -3*s. Calculate the remainder when i is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o**2 + 10*o + 102. Let z be b(5). Suppose 4*r + 3*m = 27, -4*r + m + 0 = -7. Solve 3 + r = -z*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-176)*-24*(-8)\/6 - -15.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 16. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, -2\/415, 2\/5, 5?\nAnswer: -2\/415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-4 - -13) + -14 + (-27)\/(-18))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.029, 2, -1\/4, 3\/2, 3\/7 in increasing order.\nAnswer: -1\/4, 0.029, 3\/7, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*a + 42, 26*a + 5*m + 27 = 27*a. Let o(w) be the first derivative of -2\/15*w**3 + a - 8\/5*w**2 - 32\/5*w. Determine z, given that o(z) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/5)*((l\/((l**(3\/4)\/l)\/l)*l)\/l)\/l)**0\/(l*l\/(l**(-5)*l*l)*l*l*l**2\/l*(l**(-1\/3))**10) assuming l is positive.\nAnswer: l**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 21*u - 7. Let b(o) = 10*o - 4. Let q(k) = 5*b(k) - 3*c(k). Give q(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575365294.\nAnswer: 2, 7, 41097521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3 + 2 = 0, 0 = 5*v + 4*r + 9. Let k(a) = -35*a**3 + a**2 + a. Let l be k(v). Differentiate -2 + l*j**4 - 31*j**4 + 0 with respect to j.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 8:24 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317*o**2 - 315*o**2 - 324*o**2 + 954*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -5094 in decreasing order.\nAnswer: 5, 2, -5094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2556*b**3 + 2555*b**3 + 2 - b + 19*b as l*b + g*b**3 + p*b**2 + f and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 77*p - 17*p**3 - 5 + 19*p**3 - 4*p**2 - 20*p - 13*p**2 - p**3. What is the remainder when z(13) is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, -2, 4, -6 in descending order.\nAnswer: 4, -1\/15, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 - -0.07. Let t = 0.088 - 0.288. Let m = 4\/43 + -67\/258. Which is the nearest to u? (a) t (b) m (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/48 and -93\/14.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 626 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*((n**4*n)\/n)\/n*n*n*(n\/(n\/(n\/((n*n\/(n\/(n**(-2\/7)\/n)*n*n)*n)\/n))))\/n)\/(n**16*n)**(-38))**(-15\/7) assuming n is positive.\nAnswer: n**(-68805\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -285921\/50 + 5720. Calculate the common denominator of a and 2030\/80 + -11 + -11.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 2\/129, -3\/11, -1.9, 3\/67, 2?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -95, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from {n: 1, v: 10, z: 7}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103 - -103. Let w(g) be the third derivative of g**2 + 0*g**4 - 8\/735*g**7 + 0 - 1\/420*g**6 + 0*g + 1\/105*g**5 - 5\/1176*g**8 + n*g**3. Factor w(d).\nAnswer: -2*d**2*(d + 1)**2*(5*d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 8:08 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.89 and -2.9681 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64 - -21606.\nAnswer: 21542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 5*q**4\/24 + 6*q**2 - 2*q. Let b(r) = -12*r**2. What is p(b(c))?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) + (-6)\/15. Let o be 3 - (-139 + g + -3). Suppose 2*k = -3*k + o. Calculate the remainder when k is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 7*b - 3. Let i(s) = -s. Let r be i(-8). Let u be x(r). Suppose u*k - 12 = k. Solve k*w + 5 = -1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-8)*4)\/(1\/(-2)). Let m(n) = -12*n**2 - 15*n + 11. Let x(h) = -6*h**2 - 7*h + 5. Let i(p) = 6*m(p) - 13*x(p). List the prime factors of i(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3036812896.\nAnswer: 2, 13, 673, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 2*j - 3*l, -5*j - l - 16 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 239179019 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 8*w + 10. Let f be r(-8). Suppose f = -4*v - v. Let m be -7*(-2)\/6 + v. Which is the biggest value? (a) 1\/4 (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1670.4261 minutes to days.\nAnswer: 1.160018125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from btttbbtbbtbbbbbb.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3770.6994 + -3963.69861. Let a = 193 + g. Round a to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-8)*(-40)\/6. Suppose 2*w = -3*w + q. What is the highest common factor of 14 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236143569?\nAnswer: 3, 4733, 16631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 31072*j**2 - 44*j + 42. Is 65 a factor of l(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 213, 420, 843, 1554, 2625, 4128, 6135?\nAnswer: 8718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 - 1541090673240.\nAnswer: -1541090673240.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 0*o**2 + 0*o**2)*(2*o - 2 + 2) + 4*o**2 - 4*o**2 - 17*o**4 - 9*o**4 + 6*o**4 + 15*o**4.\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*(1 + (6*sqrt(252)\/sqrt(7))\/sqrt(12)).\nAnswer: -90*sqrt(3) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2539*b**3 + 3*b + 1359?\nAnswer: 15234*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 210 = -10*u. Suppose -3*v - 4 = v. Let c be 2\/(v\/1) + 23. Calculate the highest common divisor of u and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231736053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, and 1 w when three letters picked without replacement from qqwoqcv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knk when three letters picked without replacement from {k: 5, p: 6, n: 2}.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 932.0713ng?\nAnswer: 0.0000000009320713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18\/5*2265\/302\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k + 4. Let t(l) = 11*l + 7. Let d = 3 + -7. Let m(c) = d*t(c) + 7*u(c). Let f(n) be the first derivative of 2*n**3\/3 - 1. Determine f(m(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*m + 5, -5*m - 5 = 9*a - 14*a. Solve -a*q + 4*h - h = 1, -5*h + 31 = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 11:33 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5743, 5754, 5771, 5794?\n\"Answer: 3*c**2 + 2*c + 5738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124626358?\nAnswer: 2, 19, 3279641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4071 + 4064. Let t = -7 + 7.23. Let m = -0.17 - t. Which is the second smallest value? (a) 4 (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3104 (base 6) to base 2.\nAnswer: 1010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, u: 3}. Give prob of sequence uu.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (60\/18 - 4)\/(1\/(-144)). Suppose -6*h - 10*h + l = 0. Let t(a) = a**3 - a + 165. Calculate the smallest common multiple of h and t(0).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*p = -45, 5*v = -6881*p + 6886*p - 30 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*u**3*z**3 + 16*u**3*z**2 - 6*u**3 + 178*u**2*z**3 - 2*u*z**3 + u*z**2 + 7*z**2 + 3*z wrt z.\nAnswer: -66*u**3 + 1068*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -11444337000 to the nearest one million.\nAnswer: -11444000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2028 and 35632974.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.8872 (b) -5 (c) 0.14 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/90)\/(82\/738))\/((-8)\/30).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 7:13 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -7080000 to the nearest ten thousand.\nAnswer: -7080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 6*b + 3. Suppose -2*v = -2*t - 2*t + 146, 2*v + 5*t = -119. Let y = -71 - v. What is n(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 6*i + 1. Let b be x(6). What is the first derivative of 2*r - 3 - 2*r + 2*r**2 + b wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1867 is divided by 46?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.9 + 5.9. Which is the closest to -1? (a) p (b) -2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25616472677 - 3\nAnswer: -25616472680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x + 5*r + 118 = -56*x, -x - r = 26 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/l**8))\/l*l\/((l**(-20)*l)\/l)*(l**(-2\/55)*l)\/(l\/(l*(l\/(l*(l*l**10*l)\/l))\/l)*l))**(-16) assuming l is positive.\nAnswer: l**(-14928\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 1. Let f be d(1). Suppose f*n = -2*n + 28. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 4. Suppose d + 3 = 4*j. Suppose 5*t = 6*t + 5. Put -4, t, j in ascending order.\nAnswer: t, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 1\/4 (b) -14 (c) -4\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*u + 1408 - 400. Let c(p) be the third derivative of -1\/24*p**4 + 0 - 1\/3*p**3 + u*p**2 + 0*p. Determine c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-9) - (-4)\/6. Let s(u) = 2*u**3 + 22*u**2 + 2*u + 18. Let x be s(-11). Suppose 4*z = -v - 1, -z - v = -2*z + 6. Put x, z, d in decreasing order.\nAnswer: z, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000016673852 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108.060135 - -108.06. What is k rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**6\/200 - 23*l**5\/100 + 107*l**4\/40 - 17*l**3\/2 - 2207*l**2. Factor s(f).\nAnswer: 3*(f - 17)*(f - 5)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108\/(-8)*16\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 times 452500\nAnswer: 1086000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhoo when four letters picked without replacement from oyhcoooqoooo.\nAnswer: 7\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 12799046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*(sqrt(600) + -2*sqrt(600))\/(sqrt(320)\/sqrt(10)))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2.5. Let s = 95.2 - 96. Let l = s - -3.8. What is the nearest to -2\/5 in 5, i, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -331372?\nAnswer: -331371.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u = 3*w - 64, 4*u = 4*w - 48. Let s be (-2)\/(-6) - u\/(-24). Suppose -6 + 12 = 6*c. Is s smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 894 is divided by 198?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppnuupuppp. Give prob of sequence punp.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 + -11011010000110?\nAnswer: -11011001110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9699 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -40*w**2 - 5*w - 7. Let x be g(-8). Let y = x + 3722. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 18*y - 48.\nAnswer: 3*(y - 8)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063054 + -32?\nAnswer: -31.936946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1442808.\nAnswer: 2, 3, 29, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - g - 2. Suppose -68*h - 55 = -73*h. Let x(s) = s**3 - 11*s**2 + 5*s + 11. Calculate h*b(v) + 2*x(v).\nAnswer: 2*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 86, -64, -214, -364, -514, -664?\n\"Answer: -150*p + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**4 - 10452*p**3 + 73432*p**2 + 188640*p = 0.\nAnswer: -2620, -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*b + 5*r, -5*b + 0*r = -r - 31. Let y(d) = d**3 - 5*d**2 - 9*d + 8. Calculate y(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/10*(-60)\/(-28))\/(15 + -9)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5876260\/115 + 4\/46. Suppose 17*s - 20*s + 5*y = -h, 2*s = -4*y + 34036. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 10:47 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, i: 9, m: 7}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8261 (base 10) in base 15?\nAnswer: 26ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-2 - (0 - 16 - -4)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-3\/14))**(-3\/37)\/(g**(-13\/3)\/g)**21 assuming g is positive.\nAnswer: g**(57965\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-338*t + 273*t - 133*t)*(3 + 3*t - 3) to the form m*t + k + q*t**2 and give q.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 + -0.12. Suppose 2*g + 44 = -2*g. Let s be 31\/g - 4\/22. What is the third smallest value in j, s, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9146 + 9156. Solve 3*p = -4*y - 7, 11*y - p - 7 = m*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*u - 3*u - 10 = 0, -2*l = -5*u. Solve -2*a - 8*i = -3*i + 12, 4*a - l*i - 6 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -30. Suppose c = -2*c + 3*m + 21, c + 2*m = -8. Solve t = -c*v - n*v, 5*t = 5*v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from fofjsffffjjrf?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2555 - 4*w**2 + 2555.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220338 divided by 15.\nAnswer: -73446\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 5. Let m = g - -4.0018. Round m to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-224))\/((-68)\/5117)?\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 23*u - 21 = 0. Factor 34*g**3 - u*g - 2*g - 29*g**3.\nAnswer: 5*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**3\/13 + 5272*s**2\/13 - 289574*s\/13 + 2544740\/13 = 0.\nAnswer: -2690, 11, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000058244 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 1 - 7. Let o = b - -13. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w + 13 - 2*w**2 + w**2 - 8. Let p be d(7). Suppose q + 4*u - 14 = 0, 0 = p*q + 2*u + 10 - 44. Calculate the least common multiple of 16 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0 (c) 1\/3 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/f**(-3))**(-33) assuming f is positive.\nAnswer: f**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1631391 to the nearest integer?\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500150 is divided by 1502.\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 1:55 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 330 (base 6) to base 14\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.7 + 12.7. Let i be (2\/(-12))\/((-4)\/(-54)*-3). What is the smallest value in b, 9, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 177*j - 185*j + 5744. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = -8584 + 8701 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**9\/7560 + w**6\/240 + w**4\/4 - 2*w. Let c(n) be the third derivative of u(n). What is the second derivative of c(x) wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 3 (c) -4 (d) -5 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27930)\/(-931)*2\/250.\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2332369, -2332367, -2332365, -2332363, -2332361?\nAnswer: -2332359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h. Let k(p) be the third derivative of 2*p**4\/3 + 53*p**2. Determine l(k(d)).\nAnswer: -48*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125*n**2 + 300*n**2 - 125*n**2)*((-4 - 2 + 5)*(-3*n - n + 3*n) - 1 + 1 + 2*n).\nAnswer: 150*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:02 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1388334 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.894006 rounded to 2 dps?\nAnswer: -20.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c + 10*c - 19*c + 6786 + 3*c.\nAnswer: 3*c + 6786","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -37*r**2 - 3*r - 1. Let k be h(3). Let j = -171 - k. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13283, 0, 5 in ascending order.\nAnswer: -13283, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuukuuukukuukkuuuu. Give prob of sequence kku.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -4, -11\/4, -14, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w - 39*w = -154 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -417.48 - -413.48. Which is the fourth smallest value? (a) 0.5 (b) -0.5 (c) 2434 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11455?\nAnswer: 5, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*z = 375, 13*z - 8*z = 3*h - 235. What is the smallest common multiple of h and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 14*s - 17. Let z be o(13). Let v = -11 - -54\/5. Let k be (5\/(-16))\/((-3)\/12). Which is the closest to k? (a) z (b) 2\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115094 by -44.\nAnswer: 57547\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35683.\nAnswer: 17, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 87682*g**2. Let c(w) = 1313*w. Determine l(c(o)).\nAnswer: 151161049858*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2273765 by -5.\nAnswer: 454753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 3*b = 6*h, 0 = -2*h - 3*b - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -754 times -1\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1649\/388)\/((-4 - -2)\/(-56)). What is the greatest common factor of 34 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170336.42*-0.5.\nAnswer: -85168.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.9? (a) -26 (b) -4 (c) -2\/71 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 less than -3.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*n - 36*n**3 - 3*n - 12*n wrt n?\nAnswer: -216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 9*q**2 - 36*q - 5. Calculate c(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11218*y + 42*y**2 - 47*y**4 - 4*y**3 - 43*y**2 + 11217*y to the form r*y**2 + b*y + m*y**3 + i + n*y**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -281*f + 70. Suppose 7*w - 4*w - 114 = 5*p, -p - 3*w - 12 = 0. Is b(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m - 6 = 0. Let f(w) = -w - 1. Let a be f(m). Let l = 44\/39 + -6\/13. What is the nearest to l in a, 5\/6, 3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 31655 and 31659 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36955 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(5)*-1*-3 + (-2 + sqrt(500))*2)**2.\nAnswer: -88*sqrt(5) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-36625)\/(-225) + 2\/9.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 327, 387, 381, 309, 171?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -49*m**3 + 349*m**2 + 12*m - 21. Determine v(7).\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/27 in -52, 15, 113, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 241550*f - 6. Let r be p(4). Let j be (0 - (-2)\/7)\/(43\/85212197). Let i = r - j. What is i rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11810000 rounded to the nearest 100000?\nAnswer: -11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1974.3 to the nearest ten.\nAnswer: -1970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 6*m + 2. Let h be x(6). Let s be 2*3\/30*h. Let i = -29 - -31. What is the closest to i in 4, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -29 (c) 0.1 (d) 4.38 (e) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**2 - 2*o + 4. Let n(t) = 12*t**2 - 5*t + 11. Suppose -5*g + 4 = -11. Let z(f) = g*n(f) - 8*v(f). Is 2 a factor of z(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633*(124\/6 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 2*s. Let k be 3 - -15*2\/(-3). Let a(r) = -3*r**3 + 7*r. What is k*h(f) + 2*a(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l + 64 = 0. Let w be l\/6*(-3)\/(-2). Which is bigger: -7 or w?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 0*j**5 + 0 + 0*j**3 + 0*j**2 - 1\/10*j**6 + 3*j - 1\/4*j**4. What is the third derivative of y(v) wrt v?\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93 divided by -711\nAnswer: 31\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/3 + 63968*u**2\/3 + 512063354*u\/3 + 3065475468 = 0.\nAnswer: -15983, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**3 + 26*n**2 + 20*n - 56. Let m be f(9). Suppose 2*t - 18 = -22. Suppose -17*j + 10*j - 21 = 0. Sort 5, j, m, t.\nAnswer: j, t, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, o: 1, m: 7}. Give prob of picking 1 c and 2 m.\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583042*b + 583130*b = 1496 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -2625892?\nAnswer: -2625889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21023 = 205*s + 7903 for s.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1144400 (base 6) to base 8\nAnswer: 166320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 28 = 4*y, 76*y - 71*y - 4*k = k + 70 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-40)\/16)\/(-2*(-3)\/(-12)). Let p be 9\/(-2)*2\/(-3). Suppose -2*g + p = -h. Solve -3*u + g*u - 5 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31*g - 43 + 43)*(-3 - 2*g + 502*g**3 + 502*g**3 - 983*g**3 - 3*g**2) to s + y*g + o*g**2 + t*g**4 + a*g**3 and give y.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-112)*(-93 + 89))\/((-1)\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.98 - 0.18. What is w rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24 + -145?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -1 (b) -4 (c) -2\/9 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 30*o**2 + 5*o + 30.\nAnswer: -5*(o - 1)*(o + 1)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2530463 - -0.11648?\nAnswer: -2530462.88352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from {o: 2, j: 3, d: 5, w: 1, l: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185460975.\nAnswer: 3, 5, 7, 39251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**5 + 0*d**5 + 4*d**5 + 0*d**5 - 2*d**5 + d**5 + (d**4 + 10*d**4 - 2*d**4)*(-6*d + 5*d + 3*d) + 7*d**5 + 4*d**5 + 0*d**5.\nAnswer: 27*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5371 + 5371. Which is smaller: n or 1\/2403?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 420 and 18228?\nAnswer: 91140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2402, -2480, -2692, -3104, -3782, -4792, -6200, -8072?\n\"Answer: -11*u**3 - u**2 + 2*u - 2392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 + -80. Let g(b) = -2*b**2 + 23*b - 14. Let a be g(n). Suppose a*d = 20*d - 468. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from dkwkwdkw?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 e, and 1 b when four letters picked without replacement from {r: 1, q: 1, e: 2, b: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6 + -1 - 10\/4. Let k(i) = -i**3 + i + 1. Let x(s) be the first derivative of 3*s**4\/4 + s**3\/3 - 2*s**2 - 4*s - 2. Calculate v*k(z) - x(z).\nAnswer: z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/72 - (-2516890)\/51336.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**7\/2520 - d**6\/360 + d**4\/4 + 3*d. Let r(s) be the third derivative of b(s). Find the second derivative of r(t) wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 + 0.29. Let w = -1\/19 + 47\/171. Let y = 14 + -14. What is the nearest to y in i, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(-7) + -8 - (19\/3)\/(-1). Which is the smallest value? (a) g (b) -2\/3 (c) -2\/5 (d) -98\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 14) in base 4?\nAnswer: -3011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3029781.\nAnswer: 3, 1009927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1244 + 1313?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3*s - 5 = a, 7 = 5*a - 2*s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, y: 1, s: 1, z: 1}. Give prob of picking 1 s and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3110231033000 - -10?\nAnswer: 3110231033010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -212247.4 rounded to the nearest one hundred?\nAnswer: -212200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1\/2 (b) 0.2 (c) 13\/6 (d) 14.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 8:32 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + (sqrt(110) - -2*sqrt(110) - sqrt(110))*-1 + sqrt(110) - sqrt(110)) + (sqrt(110) - -3*-2*sqrt(110)))\/(sqrt(30)\/(sqrt(375)\/sqrt(5))).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -56935788 rounded to the nearest ten thousand?\nAnswer: -56940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1104236 and 91\/118660.\nAnswer: 93860060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1610 and 23450?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 9*n + 1 - 5*n + 3*n + 1 + 31*n**2 in the form u*n**2 + v + b*n and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 93258960257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/6)\/((-2)\/(-12)). Suppose h = n*h - 20. Calculate the highest common factor of 110 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.35 - 291.\nAnswer: -291.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, z: 8}. What is prob of picking 1 i and 1 z?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from ppppppppppppe?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2354.2 + -1329.1. Round z to the nearest 100.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d + 8. Let x be l(-2). Suppose x = -11*j + 3*j + 320. List the prime factors of (318\/(-5) + 0)\/((-12)\/j).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100683, 100684, 100685, 100686?\nAnswer: 100687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.111 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3121850850.\nAnswer: 2, 3, 5, 1409, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.419 - 212.419. Let o = v + 211.99999678. What is o rounded to seven decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from lmjjm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + (-22 + 4 - -2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbpxvvb. Give prob of sequence mv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-62 - 3)*(-2)\/(-35). Which is smaller: -5 or k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + -0.3. Let c be (7 - (-266)\/(-35))\/(20\/(-25)). What is the fourth smallest value in -2, c, -5, i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010.1 less than -1949374?\nAnswer: -1950384.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 + 1. Suppose 4*p = p + 18. Suppose 0 = -k - 2*k - p. Calculate i(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 39.\nAnswer: -741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m**2 - 4*m - 10*m**2 - 51022 + 3*m**3 + 19*m**4 + 51009 + 3*m to the form q*m**2 + r + o*m + u*m**4 + v*m**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyldyysssqssslfsds. Give prob of picking 1 q, 1 d, and 1 y.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1553 + 303 = 248*h - 1616 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4499*v - 4483*v + 8978*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3. Let y = -41\/2 + 20. Let p = -18 + 17.6. Which is the second biggest value? (a) w (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65178 is divided by 65173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 464 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479 = 5*t - 5*x - 9091, 6*t - 3*x = 11481. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35747 = 108*m - 30779 for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2085, 5648, 10713, 17280, 25349, 34920, 45993?\nAnswer: 58568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 - (-1590)\/195*13.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56669?\nAnswer: 61, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594670 is divided by 594145?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/20*(15\/((-810)\/48))\/(-4)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 256.1038394 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 - 23*f**3 - 2230*f**2 - f + f**4 + 2230*f**2 - 2 + 3*f**3 in the form n*f**4 + j*f**3 + b*f + r*f**2 + p and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v**2 - 2*v + 3. Let w(o) = -8*o**2 + 2*o - 3. Let g(j) = -2*j**3 + 16*j**2 - j + 3. Let p be g(8). Determine p*w(m) - 6*u(m).\nAnswer: -2*m**2 + 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.127 (b) -1.11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 6*i + 5. Suppose 25 + 23 = 4*a. Let t be (-2)\/(-3) - 8\/a. Suppose t = z + 3*b + 9, 7 - 2 = -5*b. What is r(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9285*c + 111521. Give o(-12).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42430064?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-23)\/2 + -1)*78\/(-65). Solve 4*y + 5*c - 27 = 0, -c - j = -6*c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1419 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51993830 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 9*s**2 - 10*s + 11*s**2 - s.\nAnswer: 2*s**2 - 14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10095968 divided by 14.\nAnswer: -5047984\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*i + 3*p, 5*i - 3*p - 7 = -0*p. Suppose -s = i*s - 21. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -121\/6. Let u = 0.0181 + -2.8881. Let j = u - 0.13. Which is the smallest value? (a) 1\/2 (b) j (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3155, -13655, -31153, -55649, -87143, -125635?\n\"Answer: -3499*d**2 - 3*d + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(2\/2) + (-24)\/8. Suppose -m*c + 395 = -5*b, 247 = 3*c - 7*b + 2*b. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q - 2 = 0. Suppose -3*a + 3*c = q*c + 3330003, -4*a - 4439997 = c. What is a rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 2*n**3\/3 - 37*n**2\/2 - 20*n - 7049. Determine i(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4426*w - 92960. What is k(21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 5. Let m(g) = -g**3 + 4*g**2 - 5*g + 4. Let x be m(2). Let n = -0.137 - -0.237. Which is the closest to n? (a) i (b) x (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -40249, -5, -4 in decreasing order.\nAnswer: 3, -4, -5, -40249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 13) to base 10\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 2114*h**3 + 4224*h**3 + 2*h - 2113*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 20*z**2. Let c(r) = 180*r. Determine c(g(o)).\nAnswer: 3600*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 9867*b**2 + 831470*b.\nAnswer: b*(b - 9782)*(b - 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/94410624 and 5\/576.\nAnswer: 283231872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (64 - 7) + 34 + -70?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 68*u - 1161. What is i(17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 2302?\nAnswer: -2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -482600 to the nearest 1000.\nAnswer: -483000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n - 14. Suppose h - r - 15 = 3*h, 2*h + 24 = -4*r. Let x be z(h). Suppose 3*j = -4*t + 49, 0 = -2*j + t - x*t + 34. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 5. Let v be p(4). Let x(j) = j**3 - 4*j**2 + j. Let g be x(3). Let n = g - -2. Which is the third biggest value? (a) 1 (b) v (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -34*b + 586. Let x be d(17). Let w(m) = -4*m - 8. Calculate w(x).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o + 425 - 487 = -9*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134281680 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6773 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - 4 = 19*d - 18*d, -4*v - 8 = 2*d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + l - 2. Let h(j) = -j**3 - 9*j**2 - 4*j + 5. Let p(m) = -h(m) - 3*s(m). Let c(o) = -30*o**3 - 42*o - 42. What is 2*c(y) + 84*p(y)?\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -9 + 0 - (20 + -33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242 (base 11) in base 2?\nAnswer: 101110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (429\/429)\/(7\/294)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347599305 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 76744164689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -2. Let a be ((-2)\/1)\/(-2) + 3. Let s(i) = 6*i**2 - i - 2*i**2 - 3*i**2. Let k(b) = b**3 + 5*b**2 - 4*b. Give a*s(l) + q*k(l).\nAnswer: -l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1350, -5355, -12026, -21363, -33366, -48035?\nAnswer: -65370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1.1. Which is the third smallest value? (a) -2\/9 (b) l (c) 1\/2 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4115 + 3*y**2 + 3*y**3 - 4115 in the form q + m*y**2 + s*y + a*y**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 149*s - 156*s + 8174 = 0, 3*s = 4*j - 8114. What is the remainder when j is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -13*y + 357. Let v be p(27). Let z(w) = -5*w**2 + 13*w - 11. Let g = -38 - -49. Let u(n) = 3*n**2 - 7*n + 6. Give g*u(b) + v*z(b).\nAnswer: 3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (-1 + sqrt(98)))*-2 + -1*(sqrt(98)*2)**2.\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-6) - 16\/(-24). Solve 2*n - 28 + o = -4*t, 11 = 3*t - 4*n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.22 + 0.1. Let x = 2.52 + v. Let h = x + -3.4. Which is smaller: -16 or h?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 25 - 18 - 3*i - 136*i**2 + 137*i**2 + i - 11. Suppose 3*w - 9 - 3 = 0. Let a be u(w). Solve -2*j + 15 = -a*d - 5, -5*j = -4*d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*r - 43407 = 38721. Is r a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**2. Let n(z) = -7*z**2 - 2350*z - 192. Give n(i(c)).\nAnswer: -252*c**4 - 14100*c**2 - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-14) - (-18)\/7. Solve 3*c = -i*c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67 + 87. Let a(d) = 6*d - 4. Let v(q) = -q + 1. Let h(l) = f*v(l) + 5*a(l). Let g(u) = -u - 3*u + 2*u. What is g(h(k))?\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2658\/(-68222)*3\/(12\/14)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1855936, -1855937, -1855940, -1855945, -1855952, -1855961, -1855972?\nAnswer: -1855985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 3*p + 28*p + 11*p in the form c*p + w and give c.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, -0.1346, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 2*w**3\/3 - w**2 + 3*w. Determine f(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -272\/29 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2499 + 234?\nAnswer: 2733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1305*q = -1402*q + 194, -17 = 3*k - 4*q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/4 of a day?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 330b8?\nAnswer: 330b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**5 + 2936*p**4 + 356008*p**3 - 71047600*p**2 + 414788212*p - 344099560 = 0.\nAnswer: -419, 1, 5, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2144 = 3*o - 11*o. Let k be (-10)\/55 - o\/22. Solve -5*n + k = -8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 897, 1792, 2687, 3582, 4477?\nAnswer: 5372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 10 = 11*c, -5*c = 2*a - 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at most -128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 141*((-36662)\/(-2391) - 32\/2)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -217\/393 + -15\/131. Let y = -10 + 5. Which is the second biggest value? (a) y (b) -2.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z + 1. Let p be i(-1). Let q be p\/(-4) - (-3)\/6. Let k = 52 - 48. Solve 8 = q*u, k*f = f - u + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/((-980)\/(-90)) - (0 - 0). Let f = -939\/7 + x. Which is greater: 0.1 or f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27514 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -23. Let p(y) = -v - 6*y**2 + 14*y**2 + 16 + 6*y. Let r(g) = -2*g**2 - 2*g. Let n(c) = c**2 + c. Let q(s) = n(s) + r(s). Give -p(l) - 6*q(l).\nAnswer: -2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-148)\/7)\/(((-1716)\/(-91))\/(-66))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 2*z. Give n(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -282, -294, -330, -402, -522, -702?\n\"Answer: -2*u**3 + 2*u - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 2 - (-2 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Let n(k) be the second derivative of 1\/6*k**3 + 0 + 6*k + 0*k**2 + 0*k**4 - 1\/20*k**5. Give n(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 4*v - 2. Let b(f) = 4*f**2 - 8*f + 4. Let y(z) = 3*b(z) + 5*k(z). What is y(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103383 divided by -63\nAnswer: 1641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 2:17 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3985308, -3985305, -3985300, -3985293?\n\"Answer: d**2 - 3985309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.1 + 3. Let i(n) = -n**2 - 40*n - 112. Let o be i(-3). What is the nearest to o in -1, z, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*h - 61 = -u, -4*u + 5*h = -73. Suppose -267 = -u*t + 381. Calculate the greatest common factor of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128858213 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*w**3 + 724*w**2 + 11*w - 894805?\nAnswer: -6*w**2 + 1448*w + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 51. Let x(a) = 61 - 30*a**2 + 10*a + 17*a + 4*a - 3*a**3 - 4*a + 4*a**3. Let y be x(29). Calculate the greatest common divisor of y and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - -6.04. Let t = k + -7. Put 0, t, 1 in descending order.\nAnswer: 1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.159411 and 4.\nAnswer: 0.637644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 4*x**2 - 6*x + 1. Let v(r) = 4 - 7 + r**2 - r + 3. What is u(y) - 4*v(y)?\nAnswer: y**3 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 32 = 2*p. Let i(s) = -2*s**3 - 10*s**2 + 8. Let m(f) = -f**2 + 1. Let g(k) = p*m(k) + i(k). What is the third derivative of g(j) wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195701 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 22 = 2*x, -7*x + g + 71 = -2*x. Solve 0*k + 5*k + x = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614943.2 months in years?\nAnswer: 134578.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194 - 7*f**2 + 11*f**2 + 194 - 9*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347731 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 0 + sqrt(2299) + sqrt(2299))*-2)**2.\nAnswer: 40204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4 = 3*h. Let u = 6 - 4. Let c(p) = 6*p**h - 5*p**2 + 4*p**u. Let t(g) = g. What is c(t(x))?\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-90) + 476\/30. Let w be v\/(-4)*1 + 4. Suppose 0 = -w*a - 3*a + 105. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, m: 2, s: 2, b: 2, e: 1}. Give prob of picking 1 y and 1 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.07 + 3.4. Let w = 779.66 + -786. Let c = w + o. Round c to one decimal place.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {x: 2, a: 2, y: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 16, 0 = 3*b + j - 91675 - 34504. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35 and 15358.51.\nAnswer: 537547.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and 0.04.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6)*(33 - 33). Let i(a) be the third derivative of -2*a**2 + t + 0*a**4 + 0*a + 0*a**3 + 1\/30*a**5. Let x(p) = 19*p**2. Calculate x(i(q)).\nAnswer: 76*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 341 and 5487?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6111835 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 4. Let z be y(7). Sort 0, -2, z in descending order.\nAnswer: z, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 2*t**7\/315 + t**6\/60 + t**5\/80 + t**4\/288 - 41*t**2\/2 - 32. Let s(n) be the second derivative of b(n). Factor s(d).\nAnswer: d*(d + 1)*(4*d + 1)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1650?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/660 + z**5\/33 + 3*z**4\/44 + z**2 + 99*z - 9. Factor k(n).\nAnswer: 2*n*(n + 1)*(n + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1058252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026 (base 9) in base 13?\nAnswer: 45c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, -0.06, 3\/2 in ascending order.\nAnswer: -4, -0.1, -0.06, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 455*y + 15428. Determine b(-34).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/5 + 425*z - 2126\/5 = 0. What is z?\nAnswer: -2126, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/3, 0.4, 0.2, -42?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**4 + 5*y**3 + 6*y + 20?\nAnswer: 24*y**2 + 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187240 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 0*q + q + 137, 371 = 3*z + 5*q. Let p = 199 - z. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from paggapgp. Give prob of picking 1 a, 1 g, and 2 p.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4033859883 + -707.\nAnswer: 4033859176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, h: 2, n: 2, l: 7, z: 7}. Give prob of sequence naan.\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -3*r**4\/2 + 4*r**3 - 5*r**2 + 10*r - 78. Let c(n) = -2*n**3 + 4*n**2 - 3*n + 3. What is -10*c(z) + 3*j(z)?\nAnswer: 2*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23)\/115 + 298\/(-10). Let b be (9\/u + 2)*98. Let n = b + -166. Is -1\/4 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = n - 15, -3 - 1 = 2*q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.4. Suppose 3*r + 5*l = -8, 8 = 4*r - 3*l + 9. Which is the third smallest value? (a) r (b) u (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 5. Let w be t(-6). Let f be (-84)\/(-8) + (w - (-4)\/8). Solve r + 8 = 5*u, -u + 4*r - f = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5881*i. Let d(n) = -2*n**2. What is d(u(c))?\nAnswer: -69172322*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-736)\/(-56) - 12)\/(18\/(-63)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919310829.\nAnswer: 3, 8693, 35251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 2*t**2 - t + 2. Let x be d(2). Let b = 31.4 - 31.7. What is the biggest value in x, b, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92574?\nAnswer: 2, 3, 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*n - 2710 = 2*b, -b = -5*n - 1352. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**5 - y**3 + y**3 + (-3 + 2*y + 3)*(y**3 - y**3 - 3*y**4))*(0 - 1 - 2).\nAnswer: 15*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 365770150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -24*o**2 + 8*o - 19. Let b(l) = -49*l**2 + 17*l - 44. Let g(p) = 5*b(p) - 11*n(p). Let y(z) = -6*z**2 + z + 4. Calculate -4*g(j) - 11*y(j).\nAnswer: -10*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(171)*-1 - sqrt(171))*6)\/((sqrt(378)\/sqrt(6))\/sqrt(7)))**2.\nAnswer: -16416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 394084*i**2 + 393353*i**2 + 25 to d + z*i**2 + q*i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**1\/(d**(1\/4)\/d)*(d*d**(-2))\/(d*d**(-3)) assuming d is positive.\nAnswer: d**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -9973336 to the nearest 10000.\nAnswer: -9970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28, 6, -16, -38?\n\"Answer: -22*z + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*p - 444 = -1351, 2*p = -y + 217. Sort 0, -1, y.\nAnswer: -1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5025 divided by -2\nAnswer: 5025\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 375 - 388 = 0. Let o(r) = r**2 + 11*r + 3. What is the remainder when 81 is divided by o(z)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -239\/13 + 11477\/637. Let v = -5\/147 - i. Find t, given that -1\/3*t**3 - 1\/6*t**4 + 1\/6*t**2 + 0 + v*t = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 970796950 to the power of 1\/2, to the nearest integer?\nAnswer: 31158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -6091, -1, -3\/5, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00353216611 to four dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220 = 2274*n - 2296*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 96.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1017\/452*(-1)\/(-9))\/(81\/(-36))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 + 87. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7474598*v**2 + 17563588*v.\nAnswer: 14949196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k - 15*k = -12*k - 216 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1044180 divided by 1?\nAnswer: -1044180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.68 - -15.3. Let i = f - -1.48. Suppose 0*r + r - 3*x - 2 = 0, 2*x = 0. Sort -0.4, -1, i, r.\nAnswer: -1, -0.4, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/17 and 33\/85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/7946 and 52\/89.\nAnswer: 707194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/((-103)\/((-9888)\/(-1680)))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 4:48 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - u + 923, -2*n - u + 353 = -6*u. What are the prime factors of n?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-12)*50\/(-180)*-8.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euueuueueuuuuu. Give prob of sequence ee.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4010 + 4012. What is the closest to -1 in -6, -5, 1\/4, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201525 (base 6) in base 13?\nAnswer: -3a97c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26.6 + 26.721. Let q = v - -76.879. Let p = q - 76.961. Round p to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15713 is divided by 5230.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -0.4, -7\/6, 7, -3 in ascending order.\nAnswer: -3, -7\/6, -0.4, 7, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + (-43 - (54 - 43)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 416 divide 2034174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1912*b**2 + 1 + 2 - 1777*b**2.\nAnswer: -3689*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*s**4 + 2*s**4 + 1 - 2 - 3*s**4 wrt s?\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*s - 1 + 10, t - 3 = -4*s. Suppose -t*h + 65 = -46. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46948997 to the power of 1\/3, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-40))\/((-8)\/48)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6888484?\nAnswer: 2, 79, 21799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((1161\/21)\/(-43))\/(-6)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -11*s**3 + 209*s**2 + 214*s + 6. Let m be k(-1). Find y, given that -3\/4*y**4 + 18*y - m - 9\/2*y**3 - 3\/4*y**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1939*v + 1941*v - 12 = -4*o, -2*o - 6 = -v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 703.59 and -14?\nAnswer: 717.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37846 = -21*o + 19843 - 21632. What is the remainder when 1732 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-73 - -69) + (-8 - -2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -1 - x - 1\/3*x**3 - 3*x**2. Let f be t(-6). Put 2, 4, f in descending order.\nAnswer: 4, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 7*v - 7. Let r be s(-4). Let o(p) = 4 - 9 + p - 5*p + r*p. Let x(q) = q - 4. Calculate -5*o(w) + 6*x(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 424 and 1537?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1611 = -9*s - 0*s. Let q = 185 + s. Calculate the greatest common divisor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 12 + -27 + (0 + -4 - 1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -121220212200210?\nAnswer: 121220212200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 42 = q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130*g - 134*g + 1 + 253*g)*(-2 + 0 + 1) + (0 + 4 + 0)*(-2 + 2 - 3*g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 257.921938 to 2 decimal places.\nAnswer: 257.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g*g*g**6*g)**(1\/18) assuming g is positive.\nAnswer: g**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10011112121 - -10?\nAnswer: 10011112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 - 2645067464.\nAnswer: -2645067399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1753 - (-3 + (-1 - -2)). Let o = -376 + b. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Let z(l) = 2*l**3 - 2*l**i + 4 - 1 - l**2 - l - l**2. Is z(3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffe when three letters picked without replacement from {f: 5, e: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5 + 0 + 99*p**2 + 5*p**3 - 5*p - 25*p**4 - 66*p**2. Let r(t) = t**3 - t + 1. Let v(m) = -q(m) + 5*r(m). What is the third derivative of v(g) wrt g?\nAnswer: 600*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) -139 (c) 5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 826480952?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -4.648 (c) -0.1 (d) 0.8 (e) 9 (f) 1 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3 + 11. Let w be (n\/4 - -1) + -49. Let r = w - -73. Calculate the highest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 56 = -4*r - j - 0*j + 3*j, -5*j = 0 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6096, 6097, 6098, 6099, 6100?\nAnswer: 6101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1942 + 1942 - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*n + 12. Let l be 289\/(-1164) + 4\/n. Let r = 4126\/2037 - l. Find the common denominator of 89\/12 and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54738968.\nAnswer: 2, 2357, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - ((-9 - 2) + 1)) + -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -26686758, 3, 4 in decreasing order.\nAnswer: 4, 3, -26686758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -1\/2*h**2 + 1\/4*h**4 - 3300000*h + 0*h**3 + 2. Let z be l(0). What is z rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*n**3 + 17980*n**2 + 39996*n + 8000 = 0. Calculate n.\nAnswer: -2, -2\/9, 2000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 9:27 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46*h**3*t**3 - 5*h**3*t**2 - 16*t**3 + 6 wrt h.\nAnswer: 138*h**2*t**3 - 15*h**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -418257, -836513, -1254769, -1673025, -2091281, -2509537?\n\"Answer: -418256*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11801 is divided by 1965.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 + 28 = -13*r. Sort 5, r, 35 in ascending order.\nAnswer: r, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 755, 2359, 4805, 8093, 12223, 17195?\n\"Answer: 421*r**2 + 341*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -555*n. Let z(u) = -550*u - 1. Determine 3*r(j) - 2*z(j).\nAnswer: -565*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y - 3. Let x be c(-3). Let z = x + -5. Suppose -4*a = -4*v - 16, -2*a + 3*a + 4 = -v. Solve a*o - 4 = z*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 + -28 + 0 + -4 + 26?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 39*m**2 + 9*m + 169. Is s(33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88398216?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 23*v - 8640. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 299852, 1199443, 2698786, 4797899, 7496800, 10795507, 14694038, 19192411?\n\"Answer: 3*m**3 + 299858*m**2 - 4*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 8:39 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2534929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyt when three letters picked without replacement from {y: 3, t: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e - -4?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016452 rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 19 - 17 = 0. Let n(v) = -4*v + v**3 + 5*v - 3*v**2 - v**2. Let g be n(w). Solve 0*c + 8 = -g*q - c, q + 23 = 5*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8b0 (base 12) to base 10\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -1\/2*a**2 - 3*a - 4 + a**3 - 1\/4*a**4. Let i = 4 - 1. What is p(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11217?\nAnswer: 3, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 679 - 678. Which is the closest to 1\/4? (a) i (b) -2\/7 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2963 (b) -0.4 (c) 3 (d) -5 (e) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 5*g**2 - 2*g + 1. Suppose 3*m = -3*h - 9, 3*h - 1 = -m - 14. Suppose 0 = o - m*o + 4. List the prime factors of d(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.228, -7.12, 0.104, 2\/5, -0.4?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -46 + 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + (-2 + -3 - (-20 - -30 - (16 + -4)))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/16 (b) -2 (c) -2\/7 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -20158011 and -20158012 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 676544 a multiple of 1364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8757 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2*33\/(-88)). Solve 310 - 294 = f*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*b**3*q + 4*b**2*q - 42*b*q wrt b.\nAnswer: -312*b*q + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94000 is divided by 52.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 - 2*o**3 - 2*o**3)*((-5 + 3 + 9)*(4 - 3 + 1) + 2 + 0 - 3)*(-1 - 1 + 1)*(2*o**2 - 15*o**2 + o**2).\nAnswer: -156*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -3, -2 in descending order.\nAnswer: 9, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 51.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.065, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -1, -22, -21 in descending order.\nAnswer: 2, -1, -5, -21, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 6 = -f, -2*f + 5*z = -6*f - 21 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + 2*u - 72*u**2 + 73*u**2 + 4*u - 2*u**3 as v*u**3 + h*u + p*u**2 + i and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 7. Let y = 1652 + -1651. What is the nearest to c in 5, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 915756 and 21.\nAnswer: 6410292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 146 - 66. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 21*n**2 + 9*n + 21. Let l be h(11). Let g = -3\/17 - -75\/136. Let q = -35.8 - -39.8. Put q, g, l in descending order.\nAnswer: q, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2874, 10899, 24104, 42483, 66030?\nAnswer: 94739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 70. Let i be 0 - u\/1 - -2. Suppose -r = -10 - i. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b - 1. Let u be (10*(-4)\/(-100))\/(1\/40). Suppose 2*j - u + 22 = 0. Give q(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2364.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**2\/9 + 230068*z\/9 + 10826450\/3 = 0.\nAnswer: -141, 115175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -1489, 32.\nAnswer: -1489, -1\/7, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*p - 28*p - 196*p = 4644 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 26*g + 1. Determine i(-14).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from {w: 4, p: 5, m: 1, s: 1, j: 2, y: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**4*p**2 + 1755*o**4 + 6*o*p + 66*p**2 wrt o?\nAnswer: -12*o**2*p**2 + 21060*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002010 (base 3) in base 16?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -43987.\nAnswer: -2\/43987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w + 69. Let p = -18 - w. Find the second derivative of b**p - 2*b**5 + b**5 - b**5 + 2*b wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4251 - 5505 = -6*b. Calculate the remainder when 2935 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -94*v + 92*v + 21, -7*v + 11*v - 66 = 2*h for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, -53\/811, -3, 0, -2 in descending order.\nAnswer: 0, -53\/811, -1\/15, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**3 - 20*j**3 - 21 + 38 - 17 + 2*j**3.\nAnswer: -26*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25818000 and 3310?\nAnswer: 3310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + -3 - 1 - -1. Let q(i) be the third derivative of 0*i + 0 + 1\/24*i**4 - i**2 + 1\/6*i**k. Differentiate q(h) wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 6. Let d(b) = -b**3 - 4*b**2 - 2*b - 5. Let h be d(w). Suppose -h*i = -39 - 6. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 8 - 5 - 9) + 17?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1369119950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/8667 and -133\/3852.\nAnswer: 34668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 194189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.055*0.5.\nAnswer: 0.0275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(567)*-2 + sqrt(7) - (sqrt(7) + sqrt(7) + sqrt(28)\/(sqrt(20)\/sqrt(5) + sqrt(4)) - sqrt(7)))**2.\nAnswer: 9587\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*b - 17 = 0, 3*b = -g + b + 3. Suppose 0 = -g*l + 2 + 8. Suppose l*c - 1943 = -5*z, -6*z + 2*z = 2*c - 1946. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12*(2 - (-5)\/(-3)). Suppose 6 = 3*i, 0 = -d*c - 3*i - 0*i + 14. Suppose -l + 12 = c*l. What is the highest common factor of l and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*l**3 + 5*l**4 + 2*l**4 - l**2 - 9*l**4 - 3*l**3 to k*l**2 + j + x*l + h*l**3 + o*l**4 and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -421, -781, -1087, -1345, -1561, -1741?\nAnswer: -1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23033021 (base 4) in base 14?\nAnswer: 12ab7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 0*l = -869. Let b = 97 + 149. Let q = l + b. List the prime factors of q.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (-21 - (103 + -22)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/(133\/380)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 2. Let v(m) = -m - 51. Let r be v(17). Let f = r - -70. Suppose -f*x + 4*j - 16 = 2*x, 5*j = -2*x - 8. Give l(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2 - 95*i. Let z(u) = -u**2. Give z(s(l)).\nAnswer: -9*l**4 - 570*l**3 - 9025*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -402685 by 80537.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34853 = -4639*q + 113595 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*n + 44020, -8*n + 30 = -3*n. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 40 = 133. Suppose -d - 5*w = -5*d + l, -d - 3*w + 19 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000022926968412 rounded to 7 decimal places?\nAnswer: -0.0000229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3) - 4\/(-6). Let p(n) = 13*n + 3*n - 3*n - 4*n - 1. What is p(i)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74510698 * 0.1.\nAnswer: 7451069.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(4 + -2) + 4\/1. Find the second derivative of 6*x - 42152*x**3 + 42154*x**3 + 9*x + f + 38*x**4 wrt x.\nAnswer: 456*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 4\/5, 1\/6, 141, 0.4 in increasing order.\nAnswer: -3\/7, 1\/6, 0.4, 4\/5, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-210780)\/(-240))\/((-18)\/(-4)). Let b = 464\/3 - t. Is -41 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 282, 565, 848, 1131, 1414?\n\"Answer: 283*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -212 in -12, 134, 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(2\/99)\/(r\/(((r**18\/r)\/r)\/r)*(r*r**(-1\/3)*r)\/r) assuming r is positive.\nAnswer: r**(1322\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128)\/112 - ((-435)\/105 + 1 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-507*z + 507*z - 227*z**3 + (2*z - z**2 - 2*z)*(-z + 3*z + 0*z))*(0 + 1 + 0).\nAnswer: -229*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 75\/(-5) - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.085 - 0.315. Let t = -0.05 - 0.25. What is the smallest value in d, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 476679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 78 + (-10 + -23 - -1) - (6 - 0)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86692288535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*i + 13 = 0, 359*x + i = 371*x - 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30541434 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -751658932 divided by -15217.\nAnswer: 49396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t = -4. Solve -g = -t - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.791 + 3.791. What is the smallest value in y, 1, 3\/8, -0.1, 357?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/6*-21 - 3. Let j = -12 + f. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 1332585733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 276911526329\/47550 - 34941517\/6. Let t = 2\/317 - z. Is 0 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 131, -0.5, 0, -26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -167668, -1 in decreasing order.\nAnswer: 8, -1, -3, -167668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctficctccticcw. Give prob of sequence iw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 468*x**6 - 209*x**5 + 2*x**4 + 310499459*x**2?\nAnswer: 56160*x**3 - 12540*x**2 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -207051 - -207047.04986. Let d = g - 0.05866. Let h = 4 + d. Round h to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1170 and 60.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -87*n**2 - 2*n. Let z(o) = 2*o. Give t(z(j)).\nAnswer: -348*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-56)\/(-220))\/(56\/(-350)) and 47\/518.\nAnswer: 5698","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14371 or 15899?\nAnswer: 14371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.041 and -4?\nAnswer: 16.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 7*m**2 + 21*m - 91699. Let z be j(0). Round z to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 12 = w, -6*w = -3*w + 12. Calculate the smallest common multiple of 12 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4 = -5. Calculate the remainder when x\/(3\/(-6)) - -41 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -63, 24, -0.08, -0.5, 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 1)*(-4)\/(12\/(-525)). Suppose -125 = -i + 2*u, 4*i - i - u = z. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, j: 7}. What is prob of picking 3 r and 1 j?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5571119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q - 2 - 2*q + 3*q + 4*q. Let a be p(-4). Suppose -1\/4*w + 0 + 1\/2*w**a - 1\/4*w**3 = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 18 = y. Let h(r) = 2*r**3 - 3*r**3 - 5*r**2 - 7*r + 8 + 2*r**3. What are the prime factors of h(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/50)\/(2\/5). Is k <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74415*v**2 + 148*v - 277?\nAnswer: -148830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-42)\/(-14) - (-958)\/2.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-44)\/110 + 12\/5. Suppose 4*c - 711 = -5*l, 182 + 151 = a*c - 5*l. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - x - 180. Let i be ((-10)\/8)\/(9\/x). Suppose 3*y + 44 = 3*a + 8, 5*a - 90 = -i*y. Is 15 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 22*a - 343. What is v(26)?\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112 - 76. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -4*s - 73 + 35, 0 = 2*f + s + 17 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.208392342 to 4 decimal places.\nAnswer: -2.2084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/3951, -5, 4\/5, 0.5, 3 in decreasing order.\nAnswer: 3, 4\/5, 0.5, 0.2, -1\/3951, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from gbbbgbbgdggd.\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*i + 604, -4*a + 6*a - 1486 = 5*i. Sort -0.5, 2, -2\/9, i in decreasing order.\nAnswer: 2, -2\/9, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 107616 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 2*s - 1. Let v be w(0). Suppose 2*x + 0*x = -6. Let o be x\/(-4)*(-2)\/6. Which is the closest to o? (a) 0.4 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19 + -1.19. Let k = 0.02 + -0.02. Is h smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.78 and 99472268895.\nAnswer: 99472268894.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 701402000 to the nearest 1000000.\nAnswer: 701000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -99, -3, 4 in decreasing order.\nAnswer: 4, 2, -1, -3, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjozjzzjmjjzjjw. What is prob of picking 2 z and 1 j?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*x + 18, 2*x = 4*d + 3 + 1. Suppose n + x*r = 18, 42 + 40 = 3*n - 2*r. Calculate the highest common divisor of n and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10654156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 852.3184103 + 1880\nAnswer: 2732.3184103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00101039 to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = 4*w + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -30554 > -30554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406451197?\nAnswer: 406451197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g**2 + 11*g + 5. Let z(m) = -m**2 + m. Let a(d) = u(d) - 6*z(d). Let s(f) = 6*f**2 + 2*f + 2. Give 2*a(p) - 5*s(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 31. Let o(c) = -7*c + 187. Let s(k) = 6*j(k) + o(k). Let f(g) = -8*g. Determine -f(w) + 6*s(w).\nAnswer: 2*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1988225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o. Let d(c) = -21*c**2 - 927*c + 927*c. Determine u(d(r)).\nAnswer: -63*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/510 and -1\/2037.\nAnswer: 346290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 21*w**2 + 19*w + 23. Calculate the lowest common multiple of 9 and o(20).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*d = -3*h + 66*d + 61, 108*d = 2*h + 112*d + 40 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -18*y**2. Let i(f) = -15*f**2. Give o(i(d)).\nAnswer: -4050*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 22*f**2 - 61*f - 7. Give p(4).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 23*i**4 - 25*i**3 - 44*i**2 - 16*i. Let c(s) = 39*s**4 - 50*s**3 - 87*s**2 - 33*s. Let o(n) = 4*c(n) - 7*f(n). Factor o(d).\nAnswer: -5*d*(d + 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cev when three letters picked without replacement from aeaavaeace?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558689.\nAnswer: 47, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)\/(v*v\/(v*v*v**4\/v)))\/(v\/(v*v**(5\/6))*v**(-3\/4)) assuming v is positive.\nAnswer: v**(-29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 398243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 498740 divided by -49874?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - ((-7)\/1 - -1). Suppose d = -2*y + 3. Let q be (3 + 9\/(-2))*10\/35. Sort q, 9, y in decreasing order.\nAnswer: 9, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 + 13?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}